From 9032e433a9c88913c4ed394c92a3db0b82b32fc0 Mon Sep 17 00:00:00 2001
From: relund <relund@users.noreply.github.com>
Date: Wed, 21 Feb 2024 14:53:44 +0000
Subject: [PATCH] =?UTF-8?q?Deploying=20to=20gh-pages=20from=20@=20relund/g?=
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 articles/polytope_3d_ex1.html                 |  32 +--
 articles/polytope_3d_ex2.html                 |  32 +--
 articles/polytope_3d_ex3.html                 |  32 +--
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 articles/tri-objective.html                   |  16 +-
 pkgdown.yml                                   |   2 +-
 reference/addNDSet.html                       |   6 +-
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 reference/plotPolytope.html                   | 228 +++++++++---------
 reference/plotRectangle3D.html                |   6 +-
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diff --git a/articles/bi-objective_3x_ex1.html b/articles/bi-objective_3x_ex1.html
index 3de4c09..910da51 100644
--- a/articles/bi-objective_3x_ex1.html
+++ b/articles/bi-objective_3x_ex1.html
@@ -141,64 +141,64 @@
 <p>LP model (solution space):</p>
 <div class="sourceCode" id="cb5"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span><span class="op">)</span></span></code></pre></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>LP model (criterion space):</p>
 <div class="sourceCode" id="cb6"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, addTriangles <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span> </span></code></pre></div>
 <p><img src="bi-objective_3x_ex1_files/figure-html/Ex1LPCrit-1.png" width="99%" style="display: block; margin: auto;"></p>
 <p>ILP model (solution space):</p>
 <div class="sourceCode" id="cb7"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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 <div class="sourceCode" id="cb8"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex1_files/figure-html/Ex1ILPCrit-1.png" width="99%" style="display: block; margin: auto;"></p>
 <p>MILP model with variable 2 and 3 integer (solution space):</p>
 <div class="sourceCode" id="cb9"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 2 and 3 integer (criterion space):</p>
 <div class="sourceCode" id="cb10"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex1_files/figure-html/Ex1MILPCrit1-1.png" width="99%" style="display: block; margin: auto;"></p>
 <p>MILP model with variable 1 and 3 integer (solution space):</p>
 <div class="sourceCode" id="cb11"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 1 and 3 integer (criterion space):</p>
 <div class="sourceCode" id="cb12"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex1_files/figure-html/Ex1MILPCrit2-1.png" width="99%" style="display: block; margin: auto;"></p>
 <p>MILP model with variable 1 and 2 integer (solution space):</p>
 <div class="sourceCode" id="cb13"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"c"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 1 and 2 integer (criterion space):</p>
 <div class="sourceCode" id="cb14"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"c"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex1_files/figure-html/Ex1MILPCrit3-1.png" width="99%" style="display: block; margin: auto;"></p>
 <p>MILP model with variable 1 integer (solution space):</p>
 <div class="sourceCode" id="cb15"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, plotFaces <span class="op">=</span> <span class="cn">F</span><span class="op">)</span></span></code></pre></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 1 integer (criterion space):</p>
 <div class="sourceCode" id="cb16"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex1_files/figure-html/Ex1MILP4Crit-1.png" width="99%" style="display: block; margin: auto;"></p>
 <p>MILP model with variable 2 integer (solution space):</p>
 <div class="sourceCode" id="cb17"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"c"</span><span class="op">)</span>, plotFaces <span class="op">=</span> <span class="cn">F</span><span class="op">)</span></span></code></pre></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 2 integer (criterion space):</p>
 <div class="sourceCode" id="cb18"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"c"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex1_files/figure-html/Ex1MILPCrit5-1.png" width="99%" style="display: block; margin: auto;"></p>
 <p>MILP model with variable 3 integer (solution space):</p>
 <div class="sourceCode" id="cb19"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span>, plotFaces <span class="op">=</span> <span class="cn">F</span><span class="op">)</span></span></code></pre></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 3 integer (criterion space):</p>
 <div class="sourceCode" id="cb20"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex1_files/figure-html/Ex1MILPCrit6-1.png" width="99%" style="display: block; margin: auto;"></p>
diff --git a/articles/bi-objective_3x_ex1_files/figure-html/Ex1MILP4Crit-1.png b/articles/bi-objective_3x_ex1_files/figure-html/Ex1MILP4Crit-1.png
index 71c01c25f8341390efecf8acefbd6c56160d8996..5a004c06faa231b6bdf473154683e3e85ef8a51b 100644
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diff --git a/articles/bi-objective_3x_ex2.html b/articles/bi-objective_3x_ex2.html
index 6863518..64412c6 100644
--- a/articles/bi-objective_3x_ex2.html
+++ b/articles/bi-objective_3x_ex2.html
@@ -141,48 +141,48 @@
 <p>LP model (solution space):</p>
 <div class="sourceCode" id="cb5"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span><span class="op">)</span></span></code></pre></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>LP model (criterion space):</p>
 <div class="sourceCode" id="cb6"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, addTriangles <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span> </span></code></pre></div>
 <p><img src="bi-objective_3x_ex2_files/figure-html/Ex2LPCrit-1.png" width="99%" style="display: block; margin: auto;"></p>
 <p>ILP model (solution space):</p>
 <div class="sourceCode" id="cb7"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>ILP model (criterion space):</p>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>ILP model (criterion space):</p>
 <div class="sourceCode" id="cb8"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex2_files/figure-html/Ex2ILPCrit-1.png" width="99%" style="display: block; margin: auto;"></p>
 <p>MILP model with variable 2 and 3 integer (solution space):</p>
 <div class="sourceCode" id="cb9"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 2 and 3 integer (criterion space):</p>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 2 and 3 integer (criterion space):</p>
 <div class="sourceCode" id="cb10"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex2_files/figure-html/Ex2MILPCrit1-1.png" width="99%" style="display: block; margin: auto;"></p>
 <p>MILP model with variable 1 and 3 integer (solution space):</p>
 <div class="sourceCode" id="cb11"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span>, plotFaces <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></code></pre></div>
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vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 1 and 3 integer (criterion space):</p>
 <div class="sourceCode" id="cb12"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex2_files/figure-html/Ex2MILPCrit2-1.png" width="99%" style="display: block; margin: auto;"></p>
 <p>MILP model with variable 1 and 2 integer (solution space):</p>
 <div class="sourceCode" id="cb13"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"c"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 1 and 2 integer (criterion space):</p>
 <div class="sourceCode" id="cb14"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"c"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex2_files/figure-html/Ex2MILPCrit3-1.png" width="99%" style="display: block; margin: auto;"></p>
 <p>MILP model with variable 1 integer (solution space):</p>
 <div class="sourceCode" id="cb15"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, plotFaces <span class="op">=</span> <span class="cn">F</span><span class="op">)</span></span></code></pre></div>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = 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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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 <div class="sourceCode" id="cb16"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex2_files/figure-html/Ex2MILP4Crit-1.png" width="99%" style="display: block; margin: auto;"></p>
@@ -190,16 +190,16 @@
 plot):</p>
 <div class="sourceCode" id="cb17"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"c"</span><span class="op">)</span>, plotFaces <span class="op">=</span> <span class="cn">F</span><span class="op">)</span></span></code></pre></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 2 integer (criterion space):</p>
 <div class="sourceCode" id="cb18"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"c"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex2_files/figure-html/Ex2MILPCrit5-1.png" width="99%" style="display: block; margin: auto;"></p>
 <p>MILP model with variable 3 integer (solution space):</p>
 <div class="sourceCode" id="cb19"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
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textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 3 integer (criterion space):</p>
 <div class="sourceCode" id="cb20"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex2_files/figure-html/Ex2MILPCrit6-1.png" width="99%" style="display: block; margin: auto;"></p>
diff --git a/articles/bi-objective_3x_ex3.html b/articles/bi-objective_3x_ex3.html
index 0cd9644..95b6074 100644
--- a/articles/bi-objective_3x_ex3.html
+++ b/articles/bi-objective_3x_ex3.html
@@ -138,32 +138,32 @@
 <p>LP model (solution space):</p>
 <div class="sourceCode" id="cb5"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span><span class="op">)</span></span></code></pre></div>
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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>LP model (criterion space):</p>
 <div class="sourceCode" id="cb6"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, addTriangles <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span> </span></code></pre></div>
 <p><img src="bi-objective_3x_ex3_files/figure-html/Ex3LPCrit-1.png" width="99%" style="display: block; margin: auto;"></p>
 <p>ILP model (solution space):</p>
 <div class="sourceCode" id="cb7"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>ILP model (criterion space):</p>
 <div class="sourceCode" id="cb8"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex3_files/figure-html/Ex3ILPCrit-1.png" width="99%" style="display: block; margin: auto;"></p>
 <p>MILP model with variable 2 and 3 integer (solution space):</p>
 <div class="sourceCode" id="cb9"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 2 and 3 integer (criterion space):</p>
 <div class="sourceCode" id="cb10"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex3_files/figure-html/Ex3MILPCrit1-1.png" width="99%" style="display: block; margin: auto;"></p>
 <p>MILP model with variable 1 and 3 integer (solution space):</p>
 <div class="sourceCode" id="cb11"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span>, plotFaces <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></code></pre></div>
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(point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 1 and 3 integer (criterion space):</p>
 <div class="sourceCode" id="cb12"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex3_files/figure-html/Ex3MILPCrit2-1.png" width="99%" style="display: block; margin: auto;"></p>
@@ -177,24 +177,24 @@
 <p>MILP model with variable 1 integer (solution space):</p>
 <div class="sourceCode" id="cb15"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, plotFaces <span class="op">=</span> <span class="cn">F</span><span class="op">)</span></span></code></pre></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 1 integer (criterion space):</p>
 <div class="sourceCode" id="cb16"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex3_files/figure-html/Ex3MILP4Crit-1.png" width="99%" style="display: block; margin: auto;"></p>
 <p>MILP model with variable 2 integer (solution space):</p>
 <div class="sourceCode" id="cb17"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"c"</span><span class="op">)</span>, plotFaces <span class="op">=</span> <span class="cn">F</span><span class="op">)</span></span></code></pre></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 2 integer (criterion space):</p>
 <div class="sourceCode" id="cb18"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"c"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex3_files/figure-html/Ex3MILPCrit5-1.png" width="99%" style="display: block; margin: auto;"></p>
 <p>MILP model with variable 3 integer (solution space):</p>
 <div class="sourceCode" id="cb19"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span>, plotFaces <span class="op">=</span> <span class="cn">F</span><span class="op">)</span></span></code></pre></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 3 integer (criterion space):</p>
 <div class="sourceCode" id="cb20"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex3_files/figure-html/Ex3MILPCrit6-1.png" width="99%" style="display: block; margin: auto;"></p>
diff --git a/articles/bi-objective_3x_ex4.html b/articles/bi-objective_3x_ex4.html
index 439d8ae..57994bb 100644
--- a/articles/bi-objective_3x_ex4.html
+++ b/articles/bi-objective_3x_ex4.html
@@ -140,32 +140,32 @@
 <p>LP model (solution space):</p>
 <div class="sourceCode" id="cb5"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span><span class="op">)</span></span></code></pre></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>LP model (criterion space):</p>
 <div class="sourceCode" id="cb6"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, addTriangles <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span> </span></code></pre></div>
 <p><img src="bi-objective_3x_ex4_files/figure-html/Ex4LPCrit-1.png" width="99%" style="display: block; margin: auto;"></p>
 <p>ILP model (solution space):</p>
 <div class="sourceCode" id="cb7"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span>, labels<span class="op">=</span><span class="st">"n"</span><span class="op">)</span></span></code></pre></div>
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EAgYE\nAgcEAggEAgAFAgEFAgIFAgMFAgQFAgUFAgYFAgcFAgAGAgEGAgIGAgMGAgQGAgUGAgYGAgcG\nAgAHAgEHAgIHAgMHAgQHAgUHAgYHAgcHAgAIAgEIAgIIAgMIAgQIAgUIAgYIAgAJAgEJAgIJ\nAgMJAgQJAgUJAgYJAgAKAgEKAgIKAgMKAgQKAgUKAgALAgELAgILAgMLAgQLAgULAgAMAgEM\nAgIMAgMMAgQMAgUMAgANAgENAgINAgMNAgQNAgAOAgEOAgIOAgMOAgQOAgAPAgEPAgIPAgMP\nAgAQAgEQAgIQAgMQAgARAgERAgIRAgMRAgASAgESAgISAgATAgETAgITAgAUAgEUAgAVAgEV\nAgAWAgAAAwEAAwIAAwMAAwQAAwUAAwYAAwcAAwgAAwkAAwABAwEBAwIBAwMBAwQBAwUBAwYB\nAwcBAwgBAwACAwECAwICAwMCAwQCAwUCAwYCAwcCAwgCAwADAwEDAwIDAwMDAwQDAwUDAwYD\nAwcDAwAEAwEEAwIEAwMEAwQEAwUEAwYEAwcEAwAFAwEFAwIFAwMFAwQFAwUFAwYFAwcFAwAG\nAwEGAwIGAwMGAwQGAwUGAwYGAwAHAwEHAwIHAwMHAwQHAwUHAwYHAwAIAwEIAwIIAwMIAwQI\nAwUIAwAJAwEJAwIJAwMJAwQJAwUJAwAKAwEKAwIKAwMKAwQKAwUKAwALAwELAwILAwMLAwQL\nAwAMAwEMAwIMAwMMAwQMAwANAwENAwINAwMNAwAOAwEOAwIOAwMOAwAPAwEPAwIPAwMPAwAQ\nAwEQAwIQAwARAwERAwIRAwASAwESAwATAwAUAwAABAEABAIABAMABAQABAUABAYABAcABAgA\nBAABBAEBBAIBBAMBBAQBBAUBBAYBBAcBBAACBAECBAICBAMCBAQCBAUCBAYCBAcCBAADBAED\nBAIDBAMDBAQDBAUDBAYDBAcDBAAEBAEEBAIEBAMEBAQEBAUEBAYEBAAFBAEFBAIFBAMFBAQF\nBAUFBAYFBAAGBAEGBAIGBAMGBAQGBAUGBAAHBAEHBAIHBAMHBAQHBAUHBAAIBAEIBAIIBAMI\nBAQIBAUIBAAJBAEJBAIJBAMJBAQJBAAKBAEKBAIKBAMKBAQKBAALBAELBAILBAMLBAAMBAEM\nBAIMBAMMBAANBAENBAINBAMNBAAOBAEOBAIOBAAPBAEPBAAQBAEQBAARBAAABQEABQIABQMA\nBQQABQUABQYABQcABQABBQEBBQIBBQMBBQQBBQUBBQYBBQcBBQACBQECBQICBQMCBQQCBQUC\nBQYCBQADBQEDBQIDBQMDBQQDBQUDBQYDBQAEBQEEBQIEBQMEBQQEBQUEBQAFBQEFBQIFBQMF\nBQQFBQUFBQAGBQEGBQIGBQMGBQQGBQUGBQAHBQEHBQIHBQMHBQQHBQAIBQEIBQIIBQMIBQQI\nBQAJBQEJBQIJBQMJBQAKBQEKBQIKBQMKBQALBQELBQILBQAMBQEMBQIMBQANBQENBQAOBQAP\nBQAABgEABgIABgMABgQABgUABgYABgABBgEBBgIBBgMBBgQBBgUBBgYBBgACBgECBgICBgMC\nBgQCBgUCBgADBgEDBgIDBgMDBgQDBgUDBgAEBgEEBgIEBgMEBgQEBgUEBgAFBgEFBgIFBgMF\nBgQFBgAGBgEGBgIGBgMGBgQGBgAHBgEHBgIHBgMHBgAIBgEIBgIIBgMIBgAJBgEJBgIJBgAK\nBgEKBgALBgELBgAMBgAABwEABwIABwMABwQABwUABwABBwEBBwIBBwMBBwQBBwUBBwACBwEC\nBwICBwMCBwQCBwUCBwADBwEDBwIDBwMDBwQDBwAEBwEEBwIEBwMEBwQEBwAFBwEFBwIFBwMF\nBwAGBwEGBwIGBwAHBwEHBwIHBwAIBwEIBwAJBwAACAEACAIACAMACAQACAUACAABCAEBCAIB\nCAMBCAQBCAACCAECCAICCAMCCAADCAEDCAIDCAMDCAAECAEECAIECAAFCAEFCAAGCAAACQEA\nCQIACQMACQABCQEBCQIBCQACCQECCQADCQAACgAAAAEAAAIAAAMAAAQAAAUAAAYAAAcAAAgA\nAAkAAAoAAAsAAAABAAEBAAIBAAMBAAQBAAUBAAYBAAcBAAgBAAkBAAoBAAsBAAACAAECAAIC\nAAMCAAQCAAUCAAYCAAcCAAgCAAkCAAoCAAADAAEDAAIDAAMDAAQDAAUDAAYDAAcDAAgDAAkD\nAAoDAAAEAAEEAAIEAAMEAAQEAAUEAAYEAAcEAAgEAAkEAAAFAAEFAAIFAAMFAAQFAAUFAAYF\nAAcFAAgFAAkFAAAGAAEGAAIGAAMGAAQGAAUGAAYGAAcGAAgGAAkGAAAHAAEHAAIHAAMHAAQH\nAAUHAAYHAAcHAAgHAAAIAAEIAAIIAAMIAAQIAAUIAAYIAAcIAAgIAAAJAAEJAAIJAAMJAAQJ\nAAUJAAYJAAcJAAAKAAEKAAIKAAMKAAQKAAUKAAYKAAcKAAALAAELAAILAAMLAAQLAAULAAYL\nAAcLAAAMAAEMAAIMAAMMAAQMAAUMAAYMAAANAAENAAINAAMNAAQNAAUNAAYNAAAOAAEOAAIO\nAAMOAAQOAAUOAAAPAAEPAAIPAAMPAAQPAAUPAAAQAAEQAAIQAAMQAAQQAAUQAAARAAERAAIR\nAAMRAAQRAAASAAESAAISAAMSAAQSAAATAAETAAITAAMTAAAUAAEUAAIUAAMUAAAVAAEVAAIV\nAAAWAAEWAAIWAAAXAAEXAAAYAAEYAAAZAAAaAAAAAQEAAQIAAQMAAQQAAQUAAQYAAQcAAQgA\nAQkAAQoAAQABAQEBAQIBAQMBAQQBAQUBAQYBAQcBAQgBAQkBAQoBAQACAQECAQICAQMCAQQC\nAQUCAQYCAQcCAQgCAQkCAQADAQEDAQIDAQMDAQQDAQUDAQYDAQcDAQgDAQkDAQAEAQEEAQIE\nAQMEAQQEAQUEAQYEAQcEAQgEAQkEAQAFAQEFAQIFAQMFAQQFAQUFAQYFAQcFAQgFAQAGAQEG\nAQIGAQMGAQQGAQUGAQYGAQcGAQgGAQAHAQEHAQIHAQMHAQQHAQUHAQYHAQcHAQAIAQEIAQII\nAQMIAQQIAQUIAQYIAQcIAQAJAQEJAQIJAQMJAQQJAQUJAQYJAQcJAQAKAQEKAQIKAQMKAQQK\nAQUKAQYKAQALAQELAQILAQMLAQQLAQULAQYLAQAMAQEMAQIMAQMMAQQMAQUMAQANAQENAQIN\nAQMNAQQNAQUNAQAOAQEOAQIOAQMOAQQOAQUOAQAPAQEPAQIPAQMPAQQPAQAQAQEQAQIQAQMQ\nAQQQAQARAQERAQIRAQMRAQASAQESAQISAQMSAQATAQETAQITAQMTAQAUAQEUAQIUAQAVAQEV\nAQIVAQAWAQEWAQAXAQEXAQAYAQAZAQAAAgEAAgIAAgMAAgQAAgUAAgYAAgcAAggAAgkAAgAB\nAgEBAgIBAgMBAgQBAgUBAgYBAgcBAggBAgkBAgACAgECAgICAgMCAgQCAgUCAgYCAgcCAggC\nAgkCAgADAgEDAgIDAgMDAgQDAgUDAgYDAgcDAggDAgAEAgEEAgIEAgMEAgQEAgUEAgYEAgcE\nAggEAgAFAgEFAgIFAgMFAgQFAgUFAgYFAgcFAgAGAgEGAgIGAgMGAgQGAgUGAgYGAgcGAgAH\nAgEHAgIHAgMHAgQHAgUHAgYHAgcHAgAIAgEIAgIIAgMIAgQIAgUIAgYIAgAJAgEJAgIJAgMJ\nAgQJAgUJAgYJAgAKAgEKAgIKAgMKAgQKAgUKAgALAgELAgILAgMLAgQLAgULAgAMAgEMAgIM\nAgMMAgQMAgUMAgANAgENAgINAgMNAgQNAgAOAgEOAgIOAgMOAgQOAgAPAgEPAgIPAgMPAgAQ\nAgEQAgIQAgMQAgARAgERAgIRAgMRAgASAgESAgISAgATAgETAgITAgAUAgEUAgAVAgEVAgAW\nAgAAAwEAAwIAAwMAAwQAAwUAAwYAAwcAAwgAAwkAAwABAwEBAwIBAwMBAwQBAwUBAwYBAwcB\nAwgBAwACAwECAwICAwMCAwQCAwUCAwYCAwcCAwgCAwADAwEDAwIDAwMDAwQDAwUDAwYDAwcD\nAwAEAwEEAwIEAwMEAwQEAwUEAwYEAwcEAwAFAwEFAwIFAwMFAwQFAwUFAwYFAwcFAwAGAwEG\nAwIGAwMGAwQGAwUGAwYGAwAHAwEHAwIHAwMHAwQHAwUHAwYHAwAIAwEIAwIIAwMIAwQIAwUI\nAwAJAwEJAwIJAwMJAwQJAwUJAwAKAwEKAwIKAwMKAwQKAwUKAwALAwELAwILAwMLAwQLAwAM\nAwEMAwIMAwMMAwQMAwANAwENAwINAwMNAwAOAwEOAwIOAwMOAwAPAwEPAwIPAwMPAwAQAwEQ\nAwIQAwARAwERAwIRAwASAwESAwATAwAUAwAABAEABAIABAMABAQABAUABAYABAcABAgABAAB\nBAEBBAIBBAMBBAQBBAUBBAYBBAcBBAACBAECBAICBAMCBAQCBAUCBAYCBAcCBAADBAEDBAID\nBAMDBAQDBAUDBAYDBAcDBAAEBAEEBAIEBAMEBAQEBAUEBAYEBAAFBAEFBAIFBAMFBAQFBAUF\nBAYFBAAGBAEGBAIGBAMGBAQGBAUGBAAHBAEHBAIHBAMHBAQHBAUHBAAIBAEIBAIIBAMIBAQI\nBAUIBAAJBAEJBAIJBAMJBAQJBAAKBAEKBAIKBAMKBAQKBAALBAELBAILBAMLBAAMBAEMBAIM\nBAMMBAANBAENBAINBAMNBAAOBAEOBAIOBAAPBAEPBAAQBAEQBAARBAAABQEABQIABQMABQQA\nBQUABQYABQcABQABBQEBBQIBBQMBBQQBBQUBBQYBBQcBBQACBQECBQICBQMCBQQCBQUCBQYC\nBQADBQEDBQIDBQMDBQQDBQUDBQYDBQAEBQEEBQIEBQMEBQQEBQUEBQAFBQEFBQIFBQMFBQQF\nBQUFBQAGBQEGBQIGBQMGBQQGBQUGBQAHBQEHBQIHBQMHBQQHBQAIBQEIBQIIBQMIBQQIBQAJ\nBQEJBQIJBQMJBQAKBQEKBQIKBQMKBQALBQELBQILBQAMBQEMBQIMBQANBQENBQAOBQAPBQAA\nBgEABgIABgMABgQABgUABgYABgABBgEBBgIBBgMBBgQBBgUBBgYBBgACBgECBgICBgMCBgQC\nBgUCBgADBgEDBgIDBgMDBgQDBgUDBgAEBgEEBgIEBgMEBgQEBgUEBgAFBgEFBgIFBgMFBgQF\nBgAGBgEGBgIGBgMGBgQGBgAHBgEHBgIHBgMHBgAIBgEIBgIIBgMIBgAJBgEJBgIJBgAKBgEK\nBgALBgELBgAMBgAABwEABwIABwMABwQABwUABwABBwEBBwIBBwMBBwQBBwUBBwACBwECBwIC\nBwMCBwQCBwUCBwADBwEDBwIDBwMDBwQDBwAEBwEEBwIEBwMEBwQEBwAFBwEFBwIFBwMFBwAG\nBwEGBwIGBwAHBwEHBwIHBwAIBwEIBwAJBwAACAEACAIACAMACAQACAUACAABCAEBCAIBCAMB\nCAQBCAACCAECCAICCAMCCAADCAEDCAIDCAMDCAAECAEECAIECAAFCAEFCAAGCAAACQEACQIA\nCQMACQABCQEBCQIBCQACCQECCQADCQAACgAAAAEAAAABAAACAAADAAAEAAAFAAAGAAAHAAAI\nAAAJAAAKAAALAAAAAQABAQACAQADAQAEAQAFAQAGAQAHAQAIAQAJAQAKAQALAQAAAgABAgAC\nAgADAgAEAgAFAgAGAgAHAgAIAgAJAgAKAgAAAwABAwACAwADAwAEAwAFAwAGAwAHAwAIAwAJ\nAwAKAwAABAABBAACBAADBAAEBAAFBAAGBAAHBAAIBAAJBAAABQABBQACBQADBQAEBQAFBQAG\nBQAHBQAIBQAJBQAABgABBgACBgADBgAEBgAFBgAGBgAHBgAIBgAJBgAABwABBwACBwADBwAE\nBwAFBwAGBwAHBwAIBwAACAABCAACCAADCAAECAAFCAAGCAAHCAAICAAACQABCQACCQADCQAE\nCQAFCQAGCQAHCQAACgABCgACCgADCgAECgAFCgAGCgAHCgAACwABCwACCwADCwAECwAFCwAG\nCwAHCwAADAABDAACDAADDAAEDAAFDAAGDAAADQABDQACDQADDQAEDQAFDQAGDQAADgABDgAC\nDgADDgAEDgAFDgAADwABDwACDwADDwAEDwAFDwAAEAABEAACEAADEAAEEAAFEAAAEQABEQAC\nEQADEQAEEQAAEgABEgACEgADEgAEEgAAEwABEwACEwADEwAAFAABFAACFAADFAAAFQABFQAC\nFQAAFgABFgACFgAAFwABFwAAGAABGAAAGQAAGgAAAAEBAAECAAEDAAEEAAEFAAEGAAEHAAEI\nAAEJAAEKAAEAAQEBAQECAQEDAQEEAQEFAQEGAQEHAQEIAQEJAQEKAQEAAgEBAgECAgEDAgEE\nAgEFAgEGAgEHAgEIAgEJAgEAAwEBAwECAwEDAwEEAwEFAwEGAwEHAwEIAwEJAwEABAEBBAEC\nBAEDBAEEBAEFBAEGBAEHBAEIBAEJBAEABQEBBQECBQEDBQEEBQEFBQEGBQEHBQEIBQEABgEB\nBgECBgEDBgEEBgEFBgEGBgEHBgEIBgEABwEBBwECBwEDBwEEBwEFBwEGBwEHBwEACAEBCAEC\nCAEDCAEECAEFCAEGCAEHCAEACQEBCQECCQEDCQEECQEFCQEGCQEHCQEACgEBCgECCgEDCgEE\nCgEFCgEGCgEACwEBCwECCwEDCwEECwEFCwEGCwEADAEBDAECDAEDDAEEDAEFDAEADQEBDQEC\nDQEDDQEEDQEFDQEADgEBDgECDgEDDgEEDgEFDgEADwEBDwECDwEDDwEEDwEAEAEBEAECEAED\nEAEEEAEAEQEBEQECEQEDEQEAEgEBEgECEgEDEgEAEwEBEwECEwEDEwEAFAEBFAECFAEAFQEB\nFQECFQEAFgEBFgEAFwEBFwEAGAEAGQEAAAIBAAICAAIDAAIEAAIFAAIGAAIHAAIIAAIJAAIA\nAQIBAQICAQIDAQIEAQIFAQIGAQIHAQIIAQIJAQIAAgIBAgICAgIDAgIEAgIFAgIGAgIHAgII\nAgIJAgIAAwIBAwICAwIDAwIEAwIFAwIGAwIHAwIIAwIABAIBBAICBAIDBAIEBAIFBAIGBAIH\nBAIIBAIABQIBBQICBQIDBQIEBQIFBQIGBQIHBQIABgIBBgICBgIDBgIEBgIFBgIGBgIHBgIA\nBwIBBwICBwIDBwIEBwIFBwIGBwIHBwIACAIBCAICCAIDCAIECAIFCAIGCAIACQIBCQICCQID\nCQIECQIFCQIGCQIACgIBCgICCgIDCgIECgIFCgIACwIBCwICCwIDCwIECwIFCwIADAIBDAIC\nDAIDDAIEDAIFDAIADQIBDQICDQIDDQIEDQIADgIBDgICDgIDDgIEDgIADwIBDwICDwIDDwIA\nEAIBEAICEAIDEAIAEQIBEQICEQIDEQIAEgIBEgICEgIAEwIBEwICEwIAFAIBFAIAFQIBFQIA\nFgIAAAMBAAMCAAMDAAMEAAMFAAMGAAMHAAMIAAMJAAMAAQMBAQMCAQMDAQMEAQMFAQMGAQMH\nAQMIAQMAAgMBAgMCAgMDAgMEAgMFAgMGAgMHAgMIAgMAAwMBAwMCAwMDAwMEAwMFAwMGAwMH\nAwMABAMBBAMCBAMDBAMEBAMFBAMGBAMHBAMABQMBBQMCBQMDBQMEBQMFBQMGBQMHBQMABgMB\nBgMCBgMDBgMEBgMFBgMGBgMABwMBBwMCBwMDBwMEBwMFBwMGBwMACAMBCAMCCAMDCAMECAMF\nCAMACQMBCQMCCQMDCQMECQMFCQMACgMBCgMCCgMDCgMECgMFCgMACwMBCwMCCwMDCwMECwMA\nDAMBDAMCDAMDDAMEDAMADQMBDQMCDQMDDQMADgMBDgMCDgMDDgMADwMBDwMCDwMDDwMAEAMB\nEAMCEAMAEQMBEQMCEQMAEgMBEgMAEwMAFAMAAAQBAAQCAAQDAAQEAAQFAAQGAAQHAAQIAAQA\nAQQBAQQCAQQDAQQEAQQFAQQGAQQHAQQAAgQBAgQCAgQDAgQEAgQFAgQGAgQHAgQAAwQBAwQC\nAwQDAwQEAwQFAwQGAwQHAwQABAQBBAQCBAQDBAQEBAQFBAQGBAQABQQBBQQCBQQDBQQEBQQF\nBQQGBQQABgQBBgQCBgQDBgQEBgQFBgQABwQBBwQCBwQDBwQEBwQFBwQACAQBCAQCCAQDCAQE\nCAQFCAQACQQBCQQCCQQDCQQECQQACgQBCgQCCgQDCgQECgQACwQBCwQCCwQDCwQADAQBDAQC\nDAQDDAQADQQBDQQCDQQDDQQADgQBDgQCDgQADwQBDwQAEAQBEAQAEQQAAAUBAAUCAAUDAAUE\nAAUFAAUGAAUHAAUAAQUBAQUCAQUDAQUEAQUFAQUGAQUHAQUAAgUBAgUCAgUDAgUEAgUFAgUG\nAgUAAwUBAwUCAwUDAwUEAwUFAwUGAwUABAUBBAUCBAUDBAUEBAUFBAUABQUBBQUCBQUDBQUE\nBQUFBQUABgUBBgUCBgUDBgUEBgUFBgUABwUBBwUCBwUDBwUEBwUACAUBCAUCCAUDCAUECAUA\nCQUBCQUCCQUDCQUACgUBCgUCCgUDCgUACwUBCwUCCwUADAUBDAUCDAUADQUBDQUADgUADwUA\nAAYBAAYCAAYDAAYEAAYFAAYGAAYAAQYBAQYCAQYDAQYEAQYFAQYGAQYAAgYBAgYCAgYDAgYE\nAgYFAgYAAwYBAwYCAwYDAwYEAwYFAwYABAYBBAYCBAYDBAYEBAYFBAYABQYBBQYCBQYDBQYE\nBQYABgYBBgYCBgYDBgYEBgYABwYBBwYCBwYDBwYACAYBCAYCCAYDCAYACQYBCQYCCQYACgYB\nCgYACwYBCwYADAYAAAcBAAcCAAcDAAcEAAcFAAcAAQcBAQcCAQcDAQcEAQcFAQcAAgcBAgcC\nAgcDAgcEAgcFAgcAAwcBAwcCAwcDAwcEAwcABAcBBAcCBAcDBAcEBAcABQcBBQcCBQcDBQcA\nBgcBBgcCBgcABwcBBwcCBwcACAcBCAcACQcAAAgBAAgCAAgDAAgEAAgFAAgAAQgBAQgCAQgD\nAQgEAQgAAggBAggCAggDAggAAwgBAwgCAwgDAwgABAgBBAgCBAgABQgBBQgABggAAAkBAAkC\nAAkDAAkAAQkBAQkCAQkAAgkBAgkAAwkAAAoAAAAAFK7HvpqZGb4AACBBFK7HvpqZGb4AAAAA\nFK7HvpqZGb4AAAAAsp2Hv9ej0L4AAABAFK7HvpqZGb4AAABAsp2Hv9ej0L4AAIBAFK7HvpqZ\nGb4AAIBAsp2Hv9ej0L4AAMBAFK7HvpqZGb4AAMBAsp2Hv9ej0L4AAABBFK7HvpqZGb4AAABB\nsp2Hv9ej0L4AACBBFK7HvpqZGb4AACBBsp2Hv9ej0L4AAAABAACgQBSux76amRm+AAAAADeJ\nOb9SuI6+AAAAQDeJOb9SuI6+AACAQDeJOb9SuI6+AADAQDeJOb9SuI6+AAAAQTeJOb9SuI6+\nAAAgQTeJOb9SuI6+AAAAAAaBGcD2KGy/AAAAQAaBGcD2KGy/AACAQAaBGcD2KGy/AADAQAaB\nGcD2KGy/AAAAQQaBGcD2KGy/AAAgQQaBGcD2KGy/AAAAAQAAAAAGgRnA9ihsvwAAAEAGgRnA\n9ih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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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wIA\nCAIBCAICCAIDCAIECAIFCAIGCAIACQIBCQICCQIDCQIECQIFCQIGCQIACgIBCgICCgIDCgIE\nCgIFCgIACwIBCwICCwIDCwIECwIFCwIADAIBDAICDAIDDAIEDAIFDAIADQIBDQICDQIDDQIE\nDQIADgIBDgICDgIDDgIEDgIADwIBDwICDwIDDwIAEAIBEAICEAIDEAIAEQIBEQICEQIDEQIA\nEgIBEgICEgIAEwIBEwICEwIAFAIBFAIAFQIBFQIAFgIAAAMBAAMCAAMDAAMEAAMFAAMGAAMH\nAAMIAAMJAAMAAQMBAQMCAQMDAQMEAQMFAQMGAQMHAQMIAQMAAgMBAgMCAgMDAgMEAgMFAgMG\nAgMHAgMIAgMAAwMBAwMCAwMDAwMEAwMFAwMGAwMHAwMABAMBBAMCBAMDBAMEBAMFBAMGBAMH\nBAMABQMBBQMCBQMDBQMEBQMFBQMGBQMHBQMABgMBBgMCBgMDBgMEBgMFBgMGBgMABwMBBwMC\nBwMDBwMEBwMFBwMGBwMACAMBCAMCCAMDCAMECAMFCAMACQMBCQMCCQMDCQMECQMFCQMACgMB\nCgMCCgMDCgMECgMFCgMACwMBCwMCCwMDCwMECwMADAMBDAMCDAMDDAMEDAMADQMBDQMCDQMD\nDQMADgMBDgMCDgMDDgMADwMBDwMCDwMDDwMAEAMBEAMCEAMAEQMBEQMCEQMAEgMBEgMAEwMA\nFAMAAAQBAAQCAAQDAAQEAAQFAAQGAAQHAAQIAAQAAQQBAQQCAQQDAQQEAQQFAQQGAQQHAQQA\nAgQBAgQCAgQDAgQEAgQFAgQGAgQHAgQAAwQBAwQCAwQDAwQEAwQFAwQGAwQHAwQABAQBBAQC\nBAQDBAQEBAQFBAQGBAQABQQBBQQCBQQDBQQEBQQFBQQGBQQABgQBBgQCBgQDBgQEBgQFBgQA\nBwQBBwQCBwQDBwQEBwQFBwQACAQBCAQCCAQDCAQECAQFCAQACQQBCQQCCQQDCQQECQQACgQB\nCgQCCgQDCgQECgQACwQBCwQCCwQDCwQADAQBDAQCDAQDDAQADQQBDQQCDQQDDQQADgQBDgQC\nDgQADwQBDwQAEAQBEAQAEQQAAAUBAAUCAAUDAAUEAAUFAAUGAAUHAAUAAQUBAQUCAQUDAQUE\nAQUFAQUGAQUHAQUAAgUBAgUCAgUDAgUEAgUFAgUGAgUAAwUBAwUCAwUDAwUEAwUFAwUGAwUA\nBAUBBAUCBAUDBAUEBAUFBAUABQUBBQUCBQUDBQUEBQUFBQUABgUBBgUCBgUDBgUEBgUFBgUA\nBwUBBwUCBwUDBwUEBwUACAUBCAUCCAUDCAUECAUACQUBCQUCCQUDCQUACgUBCgUCCgUDCgUA\nCwUBCwUCCwUADAUBDAUCDAUADQUBDQUADgUADwUAAAYBAAYCAAYDAAYEAAYFAAYGAAYAAQYB\nAQYCAQYDAQYEAQYFAQYGAQYAAgYBAgYCAgYDAgYEAgYFAgYAAwYBAwYCAwYDAwYEAwYFAwYA\nBAYBBAYCBAYDBAYEBAYFBAYABQYBBQYCBQYDBQYEBQYABgYBBgYCBgYDBgYEBgYABwYBBwYC\nBwYDBwYACAYBCAYCCAYDCAYACQYBCQYCCQYACgYBCgYACwYBCwYADAYAAAcBAAcCAAcDAAcE\nAAcFAAcAAQcBAQcCAQcDAQcEAQcFAQcAAgcBAgcCAgcDAgcEAgcFAgcAAwcBAwcCAwcDAwcE\nAwcABAcBBAcCBAcDBAcEBAcABQcBBQcCBQcDBQcABgcBBgcCBgcABwcBBwcCBwcACAcBCAcA\nCQcAAAgBAAgCAAgDAAgEAAgFAAgAAQgBAQgCAQgDAQgEAQgAAggBAggCAggDAggAAwgBAwgC\nAwgDAwgABAgBBAgCBAgABQgBBQgABggAAAkBAAkCAAkDAAkAAQkBAQkCAQkAAgkBAgkAAwkA\nAAoAAAABAAACAAADAAAEAAAFAAAGAAAHAAAIAAAJAAAKAAALAAAAAQABAQACAQADAQAEAQAF\nAQAGAQAHAQAIAQAJAQAKAQALAQAAAgABAgACAgADAgAEAgAFAgAGAgAHAgAIAgAJAgAKAgAA\nAwABAwACAwADAwAEAwAFAwAGAwAHAwAIAwAJAwAKAwAABAABBAACBAADBAAEBAAFBAAGBAAH\nBAAIBAAJBAAABQABBQACBQADBQAEBQAFBQAGBQAHBQAIBQAJBQAABgABBgACBgADBgAEBgAF\nBgAGBgAHBgAIBgAJBgAABwABBwACBwADBwAEBwAFBwAGBwAHBwAIBwAACAABCAACCAADCAAE\nCAAFCAAGCAAHCAAICAAACQABCQACCQADCQAECQAFCQAGCQAHCQAACgABCgACCgADCgAECgAF\nCgAGCgAHCgAACwABCwACCwADCwAECwAFCwAGCwAHCwAADAABDAACDAADDAAEDAAFDAAGDAAA\nDQABDQACDQADDQAEDQAFDQAGDQAADgABDgACDgADDgAEDgAFDgAADwABDwACDwADDwAEDwAF\nDwAAEAABEAACEAADEAAEEAAFEAAAEQABEQACEQADEQAEEQAAEgABEgACEgADEgAEEgAAEwAB\nEwACEwADEwAAFAABFAACFAADFAAAFQABFQACFQAAFgABFgACFgAAFwABFwAAGAABGAAAGQAA\nGgAAAAEBAAECAAEDAAEEAAEFAAEGAAEHAAEIAAEJAAEKAAEAAQEBAQECAQEDAQEEAQEFAQEG\nAQEHAQEIAQEJAQEKAQEAAgEBAgECAgEDAgEEAgEFAgEGAgEHAgEIAgEJAgEAAwEBAwECAwED\nAwEEAwEFAwEGAwEHAwEIAwEJAwEABAEBBAECBAEDBAEEBAEFBAEGBAEHBAEIBAEJBAEABQEB\nBQECBQEDBQEEBQEFBQEGBQEHBQEIBQEABgEBBgECBgEDBgEEBgEFBgEGBgEHBgEIBgEABwEB\nBwECBwEDBwEEBwEFBwEGBwEHBwEACAEBCAECCAEDCAEECAEFCAEGCAEHCAEACQEBCQECCQED\nCQEECQEFCQEGCQEHCQEACgEBCgECCgEDCgEECgEFCgEGCgEACwEBCwECCwEDCwEECwEFCwEG\nCwEADAEBDAECDAEDDAEEDAEFDAEADQEBDQECDQEDDQEEDQEFDQEADgEBDgECDgEDDgEEDgEF\nDgEADwEBDwECDwEDDwEEDwEAEAEBEAECEAEDEAEEEAEAEQEBEQECEQEDEQEAEgEBEgECEgED\nEgEAEwEBEwECEwEDEwEAFAEBFAECFAEAFQEBFQECFQEAFgEBFgEAFwEBFwEAGAEAGQEAAAIB\nAAICAAIDAAIEAAIFAAIGAAIHAAIIAAIJAAIAAQIBAQICAQIDAQIEAQIFAQIGAQIHAQIIAQIJ\nAQIAAgIBAgICAgIDAgIEAgIFAgIGAgIHAgIIAgIJAgIAAwIBAwICAwIDAwIEAwIFAwIGAwIH\nAwIIAwIABAIBBAICBAIDBAIEBAIFBAIGBAIHBAIIBAIABQIBBQICBQIDBQIEBQIFBQIGBQIH\nBQIABgIBBgICBgIDBgIEBgIFBgIGBgIHBgIABwIBBwICBwIDBwIEBwIFBwIGBwIHBwIACAIB\nCAICCAIDCAIECAIFCAIGCAIACQIBCQICCQIDCQIECQIFCQIGCQIACgIBCgICCgIDCgIECgIF\nCgIACwIBCwICCwIDCwIECwIFCwIADAIBDAICDAIDDAIEDAIFDAIADQIBDQICDQIDDQIEDQIA\nDgIBDgICDgIDDgIEDgIADwIBDwICDwIDDwIAEAIBEAICEAIDEAIAEQIBEQICEQIDEQIAEgIB\nEgICEgIAEwIBEwICEwIAFAIBFAIAFQIBFQIAFgIAAAMBAAMCAAMDAAMEAAMFAAMGAAMHAAMI\nAAMJAAMAAQMBAQMCAQMDAQMEAQMFAQMGAQMHAQMIAQMAAgMBAgMCAgMDAgMEAgMFAgMGAgMH\nAgMIAgMAAwMBAwMCAwMDAwMEAwMFAwMGAwMHAwMABAMBBAMCBAMDBAMEBAMFBAMGBAMHBAMA\nBQMBBQMCBQMDBQMEBQMFBQMGBQMHBQMABgMBBgMCBgMDBgMEBgMFBgMGBgMABwMBBwMCBwMD\nBwMEBwMFBwMGBwMACAMBCAMCCAMDCAMECAMFCAMACQMBCQMCCQMDCQMECQMFCQMACgMBCgMC\nCgMDCgMECgMFCgMACwMBCwMCCwMDCwMECwMADAMBDAMCDAMDDAMEDAMADQMBDQMCDQMDDQMA\nDgMBDgMCDgMDDgMADwMBDwMCDwMDDwMAEAMBEAMCEAMAEQMBEQMCEQMAEgMBEgMAEwMAFAMA\nAAQBAAQCAAQDAAQEAAQFAAQGAAQHAAQIAAQAAQQBAQQCAQQDAQQEAQQFAQQGAQQHAQQAAgQB\nAgQCAgQDAgQEAgQFAgQGAgQHAgQAAwQBAwQCAwQDAwQEAwQFAwQGAwQHAwQABAQBBAQCBAQD\nBAQEBAQFBAQGBAQABQQBBQQCBQQDBQQEBQQFBQQGBQQABgQBBgQCBgQDBgQEBgQFBgQABwQB\nBwQCBwQDBwQEBwQFBwQACAQBCAQCCAQDCAQECAQFCAQACQQBCQQCCQQDCQQECQQACgQBCgQC\nCgQDCgQECgQACwQBCwQCCwQDCwQADAQBDAQCDAQDDAQADQQBDQQCDQQDDQQADgQBDgQCDgQA\nDwQBDwQAEAQBEAQAEQQAAAUBAAUCAAUDAAUEAAUFAAUGAAUHAAUAAQUBAQUCAQUDAQUEAQUF\nAQUGAQUHAQUAAgUBAgUCAgUDAgUEAgUFAgUGAgUAAwUBAwUCAwUDAwUEAwUFAwUGAwUABAUB\nBAUCBAUDBAUEBAUFBAUABQUBBQUCBQUDBQUEBQUFBQUABgUBBgUCBgUDBgUEBgUFBgUABwUB\nBwUCBwUDBwUEBwUACAUBCAUCCAUDCAUECAUACQUBCQUCCQUDCQUACgUBCgUCCgUDCgUACwUB\nCwUCCwUADAUBDAUCDAUADQUBDQUADgUADwUAAAYBAAYCAAYDAAYEAAYFAAYGAAYAAQYBAQYC\nAQYDAQYEAQYFAQYGAQYAAgYBAgYCAgYDAgYEAgYFAgYAAwYBAwYCAwYDAwYEAwYFAwYABAYB\nBAYCBAYDBAYEBAYFBAYABQYBBQYCBQYDBQYEBQYABgYBBgYCBgYDBgYEBgYABwYBBwYCBwYD\nBwYACAYBCAYCCAYDCAYACQYBCQYCCQYACgYBCgYACwYBCwYADAYAAAcBAAcCAAcDAAcEAAcF\nAAcAAQcBAQcCAQcDAQcEAQcFAQcAAgcBAgcCAgcDAgcEAgcFAgcAAwcBAwcCAwcDAwcEAwcA\nBAcBBAcCBAcDBAcEBAcABQcBBQcCBQcDBQcABgcBBgcCBgcABwcBBwcCBwcACAcBCAcACQcA\nAAgBAAgCAAgDAAgEAAgFAAgAAQgBAQgCAQgDAQgEAQgAAggBAggCAggDAggAAwgBAwgCAwgD\nAwgABAgBBAgCBAgABQgBBQgABggAAAkBAAkCAAkDAAkAAQkBAQkCAQkAAgkBAgkAAwkAAAoA\nAAABAAAAAQAAAgAAAwAABAAABQAABgAABwAACAAACQAACgAACwAAAAEAAQEAAgEAAwEABAEA\nBQEABgEABwEACAEACQEACgEACwEAAAIAAQIAAgIAAwIABAIABQIABgIABwIACAIACQIACgIA\nAAMAAQMAAgMAAwMABAMABQMABgMABwMACAMACQMACgMAAAQAAQQAAgQAAwQABAQABQQABgQA\nBwQACAQACQQAAAUAAQUAAgUAAwUABAUABQUABgUABwUACAUACQUAAAYAAQYAAgYAAwYABAYA\nBQYABgYABwYACAYACQYAAAcAAQcAAgcAAwcABAcABQcABgcABwcACAcAAAgAAQgAAggAAwgA\nBAgABQgABggABwgACAgAAAkAAQkAAgkAAwkABAkABQkABgkABwkAAAoAAQoAAgoAAwoABAoA\nBQoABgoABwoAAAsAAQsAAgsAAwsABAsABQsABgsABwsAAAwAAQwAAgwAAwwABAwABQwABgwA\nAA0AAQ0AAg0AAw0ABA0ABQ0ABg0AAA4AAQ4AAg4AAw4ABA4ABQ4AAA8AAQ8AAg8AAw8ABA8A\nBQ8AABAAARAAAhAAAxAABBAABRAAABEAAREAAhEAAxEABBEAABIAARIAAhIAAxIABBIAABMA\nARMAAhMAAxMAABQAARQAAhQAAxQAABUAARUAAhUAABYAARYAAhYAABcAARcAABgAARgAABkA\nABoAAAABAQABAgABAwABBAABBQABBgABBwABCAABCQABCgABAAEBAQEBAgEBAwEBBAEBBQEB\nBgEBBwEBCAEBCQEBCgEBAAIBAQIBAgIBAwIBBAIBBQIBBgIBBwIBCAIBCQIBAAMBAQMBAgMB\nAwMBBAMBBQMBBgMBBwMBCAMBCQMBAAQBAQQBAgQBAwQBBAQBBQQBBgQBBwQBCAQBCQQBAAUB\nAQUBAgUBAwUBBAUBBQUBBgUBBwUBCAUBAAYBAQYBAgYBAwYBBAYBBQYBBgYBBwYBCAYBAAcB\nAQcBAgcBAwcBBAcBBQcBBgcBBwcBAAgBAQgBAggBAwgBBAgBBQgBBggBBwgBAAkBAQkBAgkB\nAwkBBAkBBQkBBgkBBwkBAAoBAQoBAgoBAwoBBAoBBQoBBgoBAAsBAQsBAgsBAwsBBAsBBQsB\nBgsBAAwBAQwBAgwBAwwBBAwBBQwBAA0BAQ0BAg0BAw0BBA0BBQ0BAA4BAQ4BAg4BAw4BBA4B\nBQ4BAA8BAQ8BAg8BAw8BBA8BABABARABAhABAxABBBABABEBAREBAhEBAxEBABIBARIBAhIB\nAxIBABMBARMBAhMBAxMBABQBARQBAhQBABUBARUBAhUBABYBARYBABcBARcBABgBABkBAAAC\nAQACAgACAwACBAACBQACBgACBwACCAACCQACAAECAQECAgECAwECBAECBQECBgECBwECCAEC\nCQECAAICAQICAgICAwICBAICBQICBgICBwICCAICCQICAAMCAQMCAgMCAwMCBAMCBQMCBgMC\nBwMCCAMCAAQCAQQCAgQCAwQCBAQCBQQCBgQCBwQCCAQCAAUCAQUCAgUCAwUCBAUCBQUCBgUC\nBwUCAAYCAQYCAgYCAwYCBAYCBQYCBgYCBwYCAAcCAQcCAgcCAwcCBAcCBQcCBgcCBwcCAAgC\nAQgCAggCAwgCBAgCBQgCBggCAAkCAQkCAgkCAwkCBAkCBQkCBgkCAAoCAQoCAgoCAwoCBAoC\nBQoCAAsCAQsCAgsCAwsCBAsCBQsCAAwCAQwCAgwCAwwCBAwCBQwCAA0CAQ0CAg0CAw0CBA0C\nAA4CAQ4CAg4CAw4CBA4CAA8CAQ8CAg8CAw8CABACARACAhACAxACABECARECAhECAxECABIC\nARICAhICABMCARMCAhMCABQCARQCABUCARUCABYCAAADAQADAgADAwADBAADBQADBgADBwAD\nCAADCQADAAEDAQEDAgEDAwEDBAEDBQEDBgEDBwEDCAEDAAIDAQIDAgIDAwIDBAIDBQIDBgID\nBwIDCAIDAAMDAQMDAgMDAwMDBAMDBQMDBgMDBwMDAAQDAQQDAgQDAwQDBAQDBQQDBgQDBwQD\nAAUDAQUDAgUDAwUDBAUDBQUDBgUDBwUDAAYDAQYDAgYDAwYDBAYDBQYDBgYDAAcDAQcDAgcD\nAwcDBAcDBQcDBgcDAAgDAQgDAggDAwgDBAgDBQgDAAkDAQkDAgkDAwkDBAkDBQkDAAoDAQoD\nAgoDAwoDBAoDBQoDAAsDAQsDAgsDAwsDBAsDAAwDAQwDAgwDAwwDBAwDAA0DAQ0DAg0DAw0D\nAA4DAQ4DAg4DAw4DAA8DAQ8DAg8DAw8DABADARADAhADABEDAREDAhEDABIDARIDABMDABQD\nAAAEAQAEAgAEAwAEBAAEBQAEBgAEBwAECAAEAAEEAQEEAgEEAwEEBAEEBQEEBgEEBwEEAAIE\nAQIEAgIEAwIEBAIEBQIEBgIEBwIEAAMEAQMEAgMEAwMEBAMEBQMEBgMEBwMEAAQEAQQEAgQE\nAwQEBAQEBQQEBgQEAAUEAQUEAgUEAwUEBAUEBQUEBgUEAAYEAQYEAgYEAwYEBAYEBQYEAAcE\nAQcEAgcEAwcEBAcEBQcEAAgEAQgEAggEAwgEBAgEBQgEAAkEAQkEAgkEAwkEBAkEAAoEAQoE\nAgoEAwoEBAoEAAsEAQsEAgsEAwsEAAwEAQwEAgwEAwwEAA0EAQ0EAg0EAw0EAA4EAQ4EAg4E\nAA8EAQ8EABAEARAEABEEAAAFAQAFAgAFAwAFBAAFBQAFBgAFBwAFAAEFAQEFAgEFAwEFBAEF\nBQEFBgEFBwEFAAIFAQIFAgIFAwIFBAIFBQIFBgIFAAMFAQMFAgMFAwMFBAMFBQMFBgMFAAQF\nAQQFAgQFAwQFBAQFBQQFAAUFAQUFAgUFAwUFBAUFBQUFAAYFAQYFAgYFAwYFBAYFBQYFAAcF\nAQcFAgcFAwcFBAcFAAgFAQgFAggFAwgFBAgFAAkFAQkFAgkFAwkFAAoFAQoFAgoFAwoFAAsF\nAQsFAgsFAAwFAQwFAgwFAA0FAQ0FAA4FAA8FAAAGAQAGAgAGAwAGBAAGBQAGBgAGAAEGAQEG\nAgEGAwEGBAEGBQEGBgEGAAIGAQIGAgIGAwIGBAIGBQIGAAMGAQMGAgMGAwMGBAMGBQMGAAQG\nAQQGAgQGAwQGBAQGBQQGAAUGAQUGAgUGAwUGBAUGAAYGAQYGAgYGAwYGBAYGAAcGAQcGAgcG\nAwcGAAgGAQgGAggGAwgGAAkGAQkGAgkGAAoGAQoGAAsGAQsGAAwGAAAHAQAHAgAHAwAHBAAH\nBQAHAAEHAQEHAgEHAwEHBAEHBQEHAAIHAQIHAgIHAwIHBAIHBQIHAAMHAQMHAgMHAwMHBAMH\nAAQHAQQHAgQHAwQHBAQHAAUHAQUHAgUHAwUHAAYHAQYHAgYHAAcHAQcHAgcHAAgHAQgHAAkH\nAAAIAQAIAgAIAwAIBAAIBQAIAAEIAQEIAgEIAwEIBAEIAAIIAQIIAgIIAwIIAAMIAQMIAgMI\nAwMIAAQIAQQIAgQIAAUIAQUIAAYIAAAJAQAJAgAJAwAJAAEJAQEJAgEJAAIJAQIJAAMJAAAK\nAAAAABSux76amRm+AAAgQRSux76amRm+AAAAABSux76amRm+AAAAALKdh7/Xo9C+AAAAQBSu\nx76amRm+AAAAQLKdh7/Xo9C+AACAQBSux76amRm+AACAQLKdh7/Xo9C+AADAQBSux76amRm+\nAADAQLKdh7/Xo9C+AAAAQRSux76amRm+AAAAQbKdh7/Xo9C+AAAgQRSux76amRm+AAAgQbKd\nh7/Xo9C+AAAAAQAAoEAUrse+mpkZvgAAAAA3iTm/UriOvgAAAEA3iTm/UriOvgAAgEA3iTm/\nUriOvgAAwEA3iTm/UriOvgAAAEE3iTm/UriOvgAAIEE3iTm/UriOvgAAAAAGgRnA9ihsvwAA\nAEAGgRnA9ihsvwAAgEAGgRnA9ihsvwAAwEAGgRnA9ihsvwAAAEEGgRnA9ihsvwAAIEEGgRnA\n9ihsvwAAAAEAAAAABoEZwPYobL8AAABABoEZwPYobL8AAIBABoEZwPYobL8AAMBABoEZwPYo\nbL8AAABBBoEZwPYobL8AACBBBoEZwPYobL+fGi++AAAAAJqZGb6fGi++AADIQZqZGb6fGi++\nAAAAA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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>ILP model (criterion space):</p>
 <div class="sourceCode" id="cb8"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span>, labels<span class="op">=</span><span class="st">"n"</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex4_files/figure-html/Ex4ILPCrit-1.png" width="99%" style="display: block; margin: auto;"></p>
 <p>MILP model with variable 2 and 3 integer (solution space):</p>
 <div class="sourceCode" id="cb9"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span>, labels<span class="op">=</span><span class="st">"n"</span><span class="op">)</span></span></code></pre></div>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 2 and 3 integer (criterion space):</p>
 <div class="sourceCode" id="cb10"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span>, labels<span class="op">=</span><span class="st">"n"</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex4_files/figure-html/Ex4MILPCrit1-1.png" width="99%" style="display: block; margin: auto;"></p>
 <p>MILP model with variable 1 and 3 integer (solution space):</p>
 <div class="sourceCode" id="cb11"><pre class="downlit sourceCode r">
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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(point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 1 and 3 integer (criterion space):</p>
 <div class="sourceCode" id="cb12"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span>, labels<span class="op">=</span><span class="st">"n"</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex4_files/figure-html/Ex4MILPCrit2-1.png" width="99%" style="display: block; margin: auto;"></p>
@@ -179,24 +179,24 @@
 <p>MILP model with variable 1 integer (solution space):</p>
 <div class="sourceCode" id="cb15"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, labels<span class="op">=</span><span class="st">"n"</span><span class="op">)</span></span></code></pre></div>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 1 integer (criterion space):</p>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 1 integer (criterion space):</p>
 <div class="sourceCode" id="cb16"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, labels<span class="op">=</span><span class="st">"n"</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex4_files/figure-html/Ex4MILP4Crit-1.png" width="99%" style="display: block; margin: auto;"></p>
 <p>MILP model with variable 2 integer (solution space):</p>
 <div class="sourceCode" id="cb17"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"c"</span><span class="op">)</span>, plotFaces <span class="op">=</span> <span class="cn">F</span>, labels<span class="op">=</span><span class="st">"n"</span><span class="op">)</span></span></code></pre></div>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 2 integer (criterion space):</p>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 2 integer (criterion space):</p>
 <div class="sourceCode" id="cb18"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"c"</span><span class="op">)</span>, labels<span class="op">=</span><span class="st">"n"</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex4_files/figure-html/Ex4MILPCrit5-1.png" width="99%" style="display: block; margin: auto;"></p>
 <p>MILP model with variable 3 integer (solution space):</p>
 <div class="sourceCode" id="cb19"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span>, labels<span class="op">=</span><span class="st">"n"</span><span class="op">)</span></span></code></pre></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 3 integer (criterion space):</p>
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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 3 integer (criterion space):</p>
 <div class="sourceCode" id="cb20"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span>, labels<span class="op">=</span><span class="st">"n"</span><span class="op">)</span></span></code></pre></div>
 <p><img src="bi-objective_3x_ex4_files/figure-html/Ex4MILPCrit6-1.png" width="99%" style="display: block; margin: auto;"></p>
diff --git a/articles/intro.html b/articles/intro.html
index f497579..77f4529 100644
--- a/articles/intro.html
+++ b/articles/intro.html
@@ -204,8 +204,8 @@ <h3 id="three-variables">Three variables<a class="anchor" aria-label="anchor" hr
 <span>             <span class="va">obj</span>,</span>
 <span>             plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>,</span>
 <span>             labels <span class="op">=</span> <span class="st">"n"</span><span class="op">)</span></span></code></pre></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>ILP model (here with ILP faces):</p>
 <div class="sourceCode" id="cb9"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="va">view</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="op">-</span><span class="fl">0.412063330411911</span>, <span class="op">-</span><span class="fl">0.228006735444069</span>, <span class="fl">0.882166087627411</span>, <span class="fl">0</span>, <span class="fl">0.910147845745087</span>,</span>
 <span>                  <span class="op">-</span><span class="fl">0.0574885793030262</span>, <span class="fl">0.410274744033813</span>, <span class="fl">0</span>, <span class="op">-</span><span class="fl">0.042830865830183</span>, <span class="fl">0.97196090221405</span>,</span>
@@ -217,8 +217,8 @@ <h3 id="three-variables">Three variables<a class="anchor" aria-label="anchor" hr
 <span>             type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>, <span class="st">"i"</span>, <span class="st">"i"</span><span class="op">)</span>, </span>
 <span>             plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, </span>
 <span>             labels <span class="op">=</span> <span class="st">"n"</span><span class="op">)</span></span></code></pre></div>
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gAIAgEIAgIIAgMI\nAgQIAgUIAgYIAgAJAgEJAgIJAgMJAgQJAgUJAgYJAgAKAgEKAgIKAgMKAgQKAgUKAgALAgEL\nAgILAgMLAgQLAgULAgAMAgEMAgIMAgMMAgQMAgUMAgANAgENAgINAgMNAgQNAgAOAgEOAgIO\nAgMOAgQOAgAPAgEPAgIPAgMPAgAQAgEQAgIQAgMQAgARAgERAgIRAgMRAgASAgESAgISAgAT\nAgETAgITAgAUAgEUAgAVAgEVAgAWAgAAAwEAAwIAAwMAAwQAAwUAAwYAAwcAAwgAAwkAAwAB\nAwEBAwIBAwMBAwQBAwUBAwYBAwcBAwgBAwACAwECAwICAwMCAwQCAwUCAwYCAwcCAwgCAwAD\nAwEDAwIDAwMDAwQDAwUDAwYDAwcDAwAEAwEEAwIEAwMEAwQEAwUEAwYEAwcEAwAFAwEFAwIF\nAwMFAwQFAwUFAwYFAwcFAwAGAwEGAwIGAwMGAwQGAwUGAwYGAwAHAwEHAwIHAwMHAwQHAwUH\nAwYHAwAIAwEIAwIIAwMIAwQIAwUIAwAJAwEJAwIJAwMJAwQJAwUJAwAKAwEKAwIKAwMKAwQK\nAwUKAwALAwELAwILAwMLAwQLAwAMAwEMAwIMAwMMAwQMAwANAwENAwINAwMNAwAOAwEOAwIO\nAwMOAwAPAwEPAwIPAwMPAwAQAwEQAwIQAwARAwERAwIRAwASAwESAwATAwAUAwAABAEABAIA\nBAMABAQABAUABAYABAcABAgABAABBAEBBAIBBAMBBAQBBAUBBAYBBAcBBAACBAECBAICBAMC\nBAQCBAUCBAYCBAcCBAADBAEDBAIDBAMDBAQDBAUDBAYDBAcDBAAEBAEEBAIEBAMEBAQEBAUE\nBAYEBAAFBAEFBAIFBAMFBAQFBAUFBAYFBAAGBAEGBAIGBAMGBAQGBAUGBAAHBAEHBAIHBAMH\nBAQHBAUHBAAIBAEIBAIIBAMIBAQIBAUIBAAJBAEJBAIJBAMJBAQJBAAKBAEKBAIKBAMKBAQK\nBAALBAELBAILBAMLBAAMBAEMBAIMBAMMBAANBAENBAINBAMNBAAOBAEOBAIOBAAPBAEPBAAQ\nBAEQBAARBAAABQEABQIABQMABQQABQUABQYABQcABQABBQEBBQIBBQMBBQQBBQUBBQYBBQcB\nBQACBQECBQICBQMCBQQCBQUCBQYCBQADBQEDBQIDBQMDBQQDBQUDBQYDBQAEBQEEBQIEBQME\nBQQEBQUEBQAFBQEFBQIFBQMFBQQFBQUFBQAGBQEGBQIGBQMGBQQGBQUGBQAHBQEHBQIHBQMH\nBQQHBQAIBQEIBQIIBQMIBQQIBQAJBQEJBQIJBQMJBQAKBQEKBQIKBQMKBQALBQELBQILBQAM\nBQEMBQIMBQANBQENBQAOBQAPBQAABgEABgIABgMABgQABgUABgYABgABBgEBBgIBBgMBBgQB\nBgUBBgYBBgACBgECBgICBgMCBgQCBgUCBgADBgEDBgIDBgMDBgQDBgUDBgAEBgEEBgIEBgME\nBgQEBgUEBgAFBgEFBgIFBgMFBgQFBgAGBgEGBgIGBgMGBgQGBgAHBgEHBgIHBgMHBgAIBgEI\nBgIIBgMIBgAJBgEJBgIJBgAKBgEKBgALBgELBgAMBgAABwEABwIABwMABwQABwUABwABBwEB\nBwIBBwMBBwQBBwUBBwACBwECBwICBwMCBwQCBwUCBwADBwEDBwIDBwMDBwQDBwAEBwEEBwIE\nBwMEBwQEBwAFBwEFBwIFBwMFBwAGBwEGBwIGBwAHBwEHBwIHBwAIBwEIBwAJBwAACAEACAIA\nCAMACAQACAUACAABCAEBCAIBCAMBCAQBCAACCAECCAICCAMCCAADCAEDCAIDCAMDCAAECAEE\nCAIECAAFCAEFCAAGCAAACQEACQIACQMACQABCQEBCQIBCQACCQECCQADCQAACgAZAQEAAAEA\nGQEAAAABAAACAAADAAAEAAAFAAAGAAAHAAAIAAAJAAAKAAALAAAAAQABAQACAQADAQAEAQAF\nAQAGAQAHAQAIAQAJAQAKAQALAQAAAgABAgACAgADAgAEAgAFAgAGAgAHAgAIAgAJAgAKAgAA\nAwABAwACAwADAwAEAwAFAwAGAwAHAwAIAwAJAwAKAwAABAABBAACBAADBAAEBAAFBAAGBAAH\nBAAIBAAJBAAABQABBQACBQADBQAEBQAFBQAGBQAHBQAIBQAJBQAABgABBgACBgADBgAEBgAF\nBgAGBgAHBgAIBgAJBgAABwABBwACBwADBwAEBwAFBwAGBwAHBwAIBwAACAABCAACCAADCAAE\nCAAFCAAGCAAHCAAICAAACQABCQACCQADCQAECQAFCQAGCQAHCQAACgABCgACCgADCgAECgAF\nCgAGCgAHCgAACwABCwACCwADCwAECwAFCwAGCwAHCwAADAABDAACDAADDAAEDAAFDAAGDAAA\nDQABDQACDQADDQAEDQAFDQAGDQAADgABDgACDgADDgAEDgAFDgAADwABDwACDwADDwAEDwAF\nDwAAEAABEAACEAADEAAEEAAFEAAAEQABEQACEQADEQAEEQAAEgABEgACEgADEgAEEgAAEwAB\nEwACEwADEwAAFAABFAACFAADFAAAFQABFQACFQAAFgABFgACFgAAFwABFwAAGAABGAAAGQAA\nGgAAAAEBAAECAAEDAAEEAAEFAAEGAAEHAAEIAAEJAAEKAAEAAQEBAQECAQEDAQEEAQEFAQEG\nAQEHAQEIAQEJAQEKAQEAAgEBAgECAgEDAgEEAgEFAgEGAgEHAgEIAgEJAgEAAwEBAwECAwED\nAwEEAwEFAwEGAwEHAwEIAwEJAwEABAEBBAECBAEDBAEEBAEFBAEGBAEHBAEIBAEJBAEABQEB\nBQECBQEDBQEEBQEFBQEGBQEHBQEIBQEABgEBBgECBgEDBgEEBgEFBgEGBgEHBgEIBgEABwEB\nBwECBwEDBwEEBwEFBwEGBwEHBwEACAEBCAECCAEDCAEECAEFCAEGCAEHCAEACQEBCQECCQED\nCQEECQEFCQEGCQEHCQEACgEBCgECCgEDCgEECgEFCgEGCgEACwEBCwECCwEDCwEECwEFCwEG\nCwEADAEBDAECDAEDDAEEDAEFDAEADQEBDQECDQEDDQEEDQEFDQEADgEBDgECDgEDDgEEDgEF\nDgEADwEBDwECDwEDDwEEDwEAEAEBEAECEAEDEAEEEAEAEQEBEQECEQEDEQEAEgEBEgECEgED\nEgEAEwEBEwECEwEDEwEAFAEBFAECFAEAFQEBFQECFQEAFgEBFgEAFwEBFwEAGAEAGQEAAAIB\nAAICAAIDAAIEAAIFAAIGAAIHAAIIAAIJAAIAAQIBAQICAQIDAQIEAQIFAQIGAQIHAQIIAQIJ\nAQIAAgIBAgICAgIDAgIEAgIFAgIGAgIHAgIIAgIJAgIAAwIBAwICAwIDAwIEAwIFAwIGAwIH\nAwIIAwIABAIBBAICBAIDBAIEBAIFBAIGBAIHBAIIBAIABQIBBQICBQIDBQIEBQIFBQIGBQIH\nBQIABgIBBgICBgIDBgIEBgIFBgIGBgIHBgIABwIBBwICBwIDBwIEBwIFBwIGBwIHBwIACAIB\nCAICCAIDCAIECAIFCAIGCAIACQIBCQICCQIDCQIECQIFCQIGCQIACgIBCgICCgIDCgIECgIF\nCgIACwIBCwICCwIDCwIECwIFCwIADAIBDAICDAIDDAIEDAIFDAIADQIBDQICDQIDDQIEDQIA\nDgIBDgICDgIDDgIEDgIADwIBDwICDwIDDwIAEAIBEAICEAIDEAIAEQIBEQICEQIDEQIAEgIB\nEgICEgIAEwIBEwICEwIAFAIBFAIAFQIBFQIAFgIAAAMBAAMCAAMDAAMEAAMFAAMGAAMHAAMI\nAAMJAAMAAQMBAQMCAQMDAQMEAQMFAQMGAQMHAQMIAQMAAgMBAgMCAgMDAgMEAgMFAgMGAgMH\nAgMIAgMAAwMBAwMCAwMDAwMEAwMFAwMGAwMHAwMABAMBBAMCBAMDBAMEBAMFBAMGBAMHBAMA\nBQMBBQMCBQMDBQMEBQMFBQMGBQMHBQMABgMBBgMCBgMDBgMEBgMFBgMGBgMABwMBBwMCBwMD\nBwMEBwMFBwMGBwMACAMBCAMCCAMDCAMECAMFCAMACQMBCQMCCQMDCQMECQMFCQMACgMBCgMC\nCgMDCgMECgMFCgMACwMBCwMCCwMDCwMECwMADAMBDAMCDAMDDAMEDAMADQMBDQMCDQMDDQMA\nDgMBDgMCDgMDDgMADwMBDwMCDwMDDwMAEAMBEAMCEAMAEQMBEQMCEQMAEgMBEgMAEwMAFAMA\nAAQBAAQCAAQDAAQEAAQFAAQGAAQHAAQIAAQAAQQBAQQCAQQDAQQEAQQFAQQGAQQHAQQAAgQB\nAgQCAgQDAgQEAgQFAgQGAgQHAgQAAwQBAwQCAwQDAwQEAwQFAwQGAwQHAwQABAQBBAQCBAQD\nBAQEBAQFBAQGBAQABQQBBQQCBQQDBQQEBQQFBQQGBQQABgQBBgQCBgQDBgQEBgQFBgQABwQB\nBwQCBwQDBwQEBwQFBwQACAQBCAQCCAQDCAQECAQFCAQACQQBCQQCCQQDCQQECQQACgQBCgQC\nCgQDCgQECgQACwQBCwQCCwQDCwQADAQBDAQCDAQDDAQADQQBDQQCDQQDDQQADgQBDgQCDgQA\nDwQBDwQAEAQBEAQAEQQAAAUBAAUCAAUDAAUEAAUFAAUGAAUHAAUAAQUBAQUCAQUDAQUEAQUF\nAQUGAQUHAQUAAgUBAgUCAgUDAgUEAgUFAgUGAgUAAwUBAwUCAwUDAwUEAwUFAwUGAwUABAUB\nBAUCBAUDBAUEBAUFBAUABQUBB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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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QNAgAOAgEOAgIO\nAgMOAgQOAgAPAgEPAgIPAgMPAgAQAgEQAgIQAgMQAgARAgERAgIRAgMRAgASAgESAgISAgAT\nAgETAgITAgAUAgEUAgAVAgEVAgAWAgAAAwEAAwIAAwMAAwQAAwUAAwYAAwcAAwgAAwkAAwAB\nAwEBAwIBAwMBAwQBAwUBAwYBAwcBAwgBAwACAwECAwICAwMCAwQCAwUCAwYCAwcCAwgCAwAD\nAwEDAwIDAwMDAwQDAwUDAwYDAwcDAwAEAwEEAwIEAwMEAwQEAwUEAwYEAwcEAwAFAwEFAwIF\nAwMFAwQFAwUFAwYFAwcFAwAGAwEGAwIGAwMGAwQGAwUGAwYGAwAHAwEHAwIHAwMHAwQHAwUH\nAwYHAwAIAwEIAwIIAwMIAwQIAwUIAwAJAwEJAwIJAwMJAwQJAwUJAwAKAwEKAwIKAwMKAwQK\nAwUKAwALAwELAwILAwMLAwQLAwAMAwEMAwIMAwMMAwQMAwANAwENAwINAwMNAwAOAwEOAwIO\nAwMOAwAPAwEPAwIPAwMPAwAQAwEQAwIQAwARAwERAwIRAwASAwESAwATAwAUAwAABAEABAIA\nBAMABAQABAUABAYABAcABAgABAABBAEBBAIBBAMBBAQBBAUBBAYBBAcBBAACBAECBAICBAMC\nBAQCBAUCBAYCBAcCBAADBAEDBAIDBAMDBAQDBAUDBAYDBAcDBAAEBAEEBAIEBAMEBAQEBAUE\nBAYEBAAFBAEFBAIFBAMFBAQFBAUFBAYFBAAGBAEGBAIGBAMGBAQGBAUGBAAHBAEHBAIHBAMH\nBAQHBAUHBAAIBAEIBAIIBAMIBAQIBAUIBAAJBAEJBAIJBAMJBAQJBAAKBAEKBAIKBAMKBAQK\nBAALBAELBAILBAMLBAAMBAEMBAIMBAMMBAANBAENBAINBAMNBAAOBAEOBAIOBAAPBAEPBAAQ\nBAEQBAARBAAABQEABQIABQMABQQABQUABQYABQcABQABBQEBBQIBBQMBBQQBBQUBBQYBBQcB\nBQACBQECBQICBQMCBQQCBQUCBQYCBQADBQEDBQIDBQMDBQQDBQUDBQYDBQAEBQEEBQIEBQME\nBQQEBQUEBQAFBQEFBQIFBQMFBQQFBQUFBQAGBQEGBQIGBQMGBQQGBQUGBQAHBQEHBQIHBQMH\nBQQHBQAIBQEIBQIIBQMIBQQIBQAJBQEJBQIJBQMJBQAKBQEKBQIKBQMKBQALBQELBQILBQAM\nBQEMBQIMBQANBQENBQAOBQAPBQAABgEABgIABgMABgQABgUABgYABgABBgEBBgIBBgMBBgQB\nBgUBBgYBBgACBgECBgICBgMCBgQCBgUCBgADBgEDBgIDBgMDBgQDBgUDBgAEBgEEBgIEBgME\nBgQEBgUEBgAFBgEFBgIFBgMFBgQFBgAGBgEGBgIGBgMGBgQGBgAHBgEHBgIHBgMHBgAIBgEI\nBgIIBgMIBgAJBgEJBgIJBgAKBgEKBgALBgELBgAMBgAABwEABwIABwMABwQABwUABwABBwEB\nBwIBBwMBBwQBBwUBBwACBwECBwICBwMCBwQCBwUCBwADBwEDBwIDBwMDBwQDBwAEBwEEBwIE\nBwMEBwQEBwAFBwEFBwIFBwMFBwAGBwEGBwIGBwAHBwEHBwIHBwAIBwEIBwAJBwAACAEACAIA\nCAMACAQACAUACAABCAEBCAIBCAMBCAQBCAACCAECCAICCAMCCAADCAEDCAIDCAMDCAAECAEE\nCAIECAAFCAEFCAAGCAAACQEACQIACQMACQABCQEBCQIBCQACCQECCQADCQAACgAZAQEAAAEA\nGQEAAAABAAACAAADAAAEAAAFAAAGAAAHAAAIAAAJAAAKAAALAAAAAQABAQACAQADAQAEAQAF\nAQAGAQAHAQAIAQAJAQAKAQALAQAAAgABAgACAgADAgAEAgAFAgAGAgAHAgAIAgAJAgAKAgAA\nAwABAwACAwADAwAEAwAFAwAGAwAHAwAIAwAJAwAKAwAABAABBAACBAADBAAEBAAFBAAGBAAH\nBAAIBAAJBAAABQABBQACBQADBQAEBQAFBQAGBQAHBQAIBQAJBQAABgABBgACBgADBgAEBgAF\nBgAGBgAHBgAIBgAJBgAABwABBwACBwADBwAEBwAFBwAGBwAHBwAIBwAACAABCAACCAADCAAE\nCAAFCAAGCAAHCAAICAAACQABCQACCQADCQAECQAFCQAGCQAHCQAACgABCgACCgADCgAECgAF\nCgAGCgAHCgAACwABCwACCwADCwAECwAFCwAGCwAHCwAADAABDAACDAADDAAEDAAFDAAGDAAA\nDQABDQACDQADDQAEDQAFDQAGDQAADgABDgACDgADDgAEDgAFDgAADwABDwACDwADDwAEDwAF\nDwAAEAABEAACEAADEAAEEAAFEAAAEQABEQACEQADEQAEEQAAEgABEgACEgADEgAEEgAAEwAB\nEwACEwADEwAAFAABFAACFAADFAAAFQABFQACFQAAFgABFgACFgAAFwABFwAAGAABGAAAGQAA\nGgAAAAEBAAECAAEDAAEEAAEFAAEGAAEHAAEIAAEJAAEKAAEAAQEBAQECAQEDAQEEAQEFAQEG\nAQEHAQEIAQEJAQEKAQEAAgEBAgECAgEDAgEEAgEFAgEGAgEHAgEIAgEJAgEAAwEBAwECAwED\nAwEEAwEFAwEGAwEHAwEIAwEJAwEABAEBBAECBAEDBAEEBAEFBAEGBAEHBAEIBAEJBAEABQEB\nBQECBQEDBQEEBQEFBQEGBQEHBQEIBQEABgEBBgECBgEDBgEEBgEFBgEGBgEHBgEIBgEABwEB\nBwECBwEDBwEEBwEFBwEGBwEHBwEACAEBCAECCAEDCAEECAEFCAEGCAEHCAEACQEBCQECCQED\nCQEECQEFCQEGCQEHCQEACgEBCgECCgEDCgEECgEFCgEGCgEACwEBCwECCwEDCwEECwEFCwEG\nCwEADAEBDAECDAEDDAEEDAEFDAEADQEBDQECDQEDDQEEDQEFDQEADgEBDgECDgEDDgEEDgEF\nDgEADwEBDwECDwEDDwEEDwEAEAEBEAECEAEDEAEEEAEAEQEBEQECEQEDEQEAEgEBEgECEgED\nEgEAEwEBEwECEwEDEwEAFAEBFAECFAEAFQEBFQECFQEAFgEBFgEAFwEBFwEAGAEAGQEAAAIB\nAAICAAIDAAIEAAIFAAIGAAIHAAIIAAIJAAIAAQIBAQICAQIDAQIEAQIFAQIGAQIHAQIIAQIJ\nAQIAAgIBAgICAgIDAgIEAgIFAgIGAgIHAgIIAgIJAgIAAwIBAwICAwIDAwIEAwIFAwIGAwIH\nAwIIAwIABAIBBAICBAIDBAIEBAIFBAIGBAIHBAIIBAIABQIBBQICBQIDBQIEBQIFBQIGBQIH\nBQIABgIBBgICBgIDBgIEBgIFBgIGBgIHBgIABwIBBwICBwIDBwIEBwIFBwIGBwIHBwIACAIB\nCAICCAIDCAIECAIFCAIGCAIACQIBCQICCQIDCQIECQIFCQIGCQIACgIBCgICCgIDCgIECgIF\nCgIACwIBCwICCwIDCwIECwIFCwIADAIBDAICDAIDDAIEDAIFDAIADQIBDQICDQIDDQIEDQIA\nDgIBDgICDgIDDgIEDgIADwIBDwICDwIDDwIAEAIBEAICEAIDEAIAEQIBEQICEQIDEQIAEgIB\nEgICEgIAEwIBEwICEwIAFAIBFAIAFQIBFQIAFgIAAAMBAAMCAAMDAAMEAAMFAAMGAAMHAAMI\nAAMJAAMAAQMBAQMCAQMDAQMEAQMFAQMGAQMHAQMIAQMAAgMBAgMCAgMDAgMEAgMFAgMGAgMH\nAgMIAgMAAwMBAwMCAwMDAwMEAwMFAwMGAwMHAwMABAMBBAMCBAMDBAMEBAMFBAMGBAMHBAMA\nBQMBBQMCBQMDBQMEBQMFBQMGBQMHBQMABgMBBgMCBgMDBgMEBgMFBgMGBgMABwMBBwMCBwMD\nBwMEBwMFBwMGBwMACAMBCAMCCAMDCAMECAMFCAMACQMBCQMCCQMDCQMECQMFCQMACgMBCgMC\nCgMDCgMECgMFCgMACwMBCwMCCwMDCwMECwMADAMBDAMCDAMDDAMEDAMADQMBDQMCDQMDDQMA\nDgMBDgMCDgMDDgMADwMBDwMCDwMDDwMAEAMBEAMCEAMAEQMBEQMCEQMAEgMBEgMAEwMAFAMA\nAAQBAAQCAAQDAAQEAAQFAAQGAAQHAAQIAAQAAQQBAQQCAQQDAQQEAQQFAQQGAQQHAQQAAgQB\nAgQCAgQDAgQEAgQFAgQGAgQHAgQAAwQBAwQCAwQDAwQEAwQFAwQGAwQHAwQABAQBBAQCBAQD\nBAQEBAQFBAQGBAQABQQBBQQCBQQDBQQEBQQFBQQGBQQABgQBBgQCBgQDBgQEBgQFBgQABwQB\nBwQCBwQDBwQEBwQFBwQACAQBCAQCCAQDCAQECAQFCAQACQQBCQQCCQQDCQQECQQACgQBCgQC\nCgQDCgQECgQACwQBCwQCCwQDCwQADAQBDAQCDAQDDAQADQQBDQQCDQQDDQQADgQBDgQCDgQA\nDwQBDwQAEAQBEAQAEQQAAAUBAAUCAAUDAAUEAAUFAAUGAAUHAAUAAQUBAQUCAQUDAQUEAQUF\nAQUGAQUHAQUAAgUBAgUCAgUDAgUEAgUFAgUGAgUAAwUBAwUCAwUDAwUEAwUFAwUGAwUABAUB\nBAUCBAUDBAUEBAUFBAUABQUBBQUCBQUDBQUEBQUFBQUABgUBBgUCBgUDBgUEBgUFBgUABwUB\nBwUCBwUDBwUEBwUACAUBCAUCCAUDCAUECAUACQUBCQUCCQUDCQUACgUBCgUCCgUDCgUACwUB\nCwUCCwUADAUBDAUCDAUADQUBDQ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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model (here with continuous faces):</p>
 <div class="sourceCode" id="cb10"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="va">view</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="op">-</span><span class="fl">0.412063330411911</span>, <span class="op">-</span><span class="fl">0.228006735444069</span>, <span class="fl">0.882166087627411</span>, <span class="fl">0</span>, <span class="fl">0.910147845745087</span>,</span>
 <span>                  <span class="op">-</span><span class="fl">0.0574885793030262</span>, <span class="fl">0.410274744033813</span>, <span class="fl">0</span>, <span class="op">-</span><span class="fl">0.042830865830183</span>, <span class="fl">0.97196090221405</span>,</span>
@@ -232,8 +232,8 @@ <h3 id="three-variables">Three variables<a class="anchor" aria-label="anchor" hr
 <span>             plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, </span>
 <span>             <span class="co"># plotFaces = FALSE,</span></span>
 <span>             labels <span class="op">=</span> <span class="st">"n"</span><span class="op">)</span></span></code></pre></div>
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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script>
 </div>
 </div>
 <div class="section level2">
@@ -350,16 +350,16 @@ <h3 id="example-1">Example 1<a class="anchor" aria-label="anchor" href="#example
 <p>LP model (solution space):</p>
 <div class="sourceCode" id="cb19"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span><span class="op">)</span></span></code></pre></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>LP model (criterion space):</p>
 <div class="sourceCode" id="cb20"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, addTriangles <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span> </span></code></pre></div>
 <p><img src="intro_files/figure-html/Ex1LPCrit-1.png" width="99%" style="display: block; margin: auto;"></p>
 <p>ILP model (solution space):</p>
 <div class="sourceCode" id="cb21"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotSol</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>ILP model (criterion space):</p>
 <div class="sourceCode" id="cb22"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu">plotCrit</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, <span class="va">obj</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
 <p><img src="intro_files/figure-html/Ex1ILPCrit-1.png" width="99%" style="display: block; margin: auto;"></p>
diff --git a/articles/intro_files/figure-html/2DILPMax-1.png b/articles/intro_files/figure-html/2DILPMax-1.png
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diff --git a/articles/mo_costs.html b/articles/mo_costs.html
index 6c3c934..50e7aff 100644
--- a/articles/mo_costs.html
+++ b/articles/mo_costs.html
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p id="rgl17833-aria" hidden>
 </p>
 </div>
 <p><strong>Between planes</strong></p>
@@ -134,8 +134,8 @@ <h4 data-toc-skip class="date">2024-02-21</h4>
 <span><span class="fu"><a href="../reference/finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span>
 <span><span class="fu">rglwidget</span><span class="op">(</span>reuse <span class="op">=</span> <span class="cn">F</span><span class="op">)</span></span></code></pre></div>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p id="rgl31454-aria" hidden>
 </p>
 </div>
 <p><strong>Sphere</strong></p>
@@ -156,8 +156,8 @@ <h4 data-toc-skip class="date">2024-02-21</h4>
 <span><span class="fu"><a href="../reference/finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span>
 <span><span class="fu">rglwidget</span><span class="op">(</span>reuse <span class="op">=</span> <span class="cn">F</span><span class="op">)</span></span></code></pre></div>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - 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 </p>
 </div>
 <p><strong>Sphere down</strong></p>
@@ -179,8 +179,8 @@ <h4 data-toc-skip class="date">2024-02-21</h4>
 <span><span class="fu"><a href="../reference/finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span>
 <span><span class="fu">rglwidget</span><span class="op">(</span>reuse <span class="op">=</span> <span class="cn">F</span><span class="op">)</span></span></code></pre></div>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p id="rgl12709-aria" hidden>
 </p>
 </div>
 <p><strong>Sphere up</strong></p>
@@ -202,8 +202,8 @@ <h4 data-toc-skip class="date">2024-02-21</h4>
 <span><span class="fu"><a href="../reference/finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span>
 <span><span class="fu">rglwidget</span><span class="op">(</span>reuse <span class="op">=</span> <span class="cn">F</span><span class="op">)</span></span></code></pre></div>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p id="rgl57633-aria" hidden>
 </p>
 </div>
 <p><strong>2box</strong></p>
@@ -215,8 +215,8 @@ <h4 data-toc-skip class="date">2024-02-21</h4>
 <span><span class="va">pts</span> <span class="op">&lt;-</span> <span class="fu"><a href="../reference/genSample.html">genSample</a></span><span class="op">(</span><span class="fl">3</span>, <span class="fl">300</span>, range <span class="op">=</span> <span class="va">range</span>, box <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></code></pre></div>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script></main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
     </nav></aside>
 </div>
 
diff --git a/articles/mo_shapes.html b/articles/mo_shapes.html
index d3e33bd..04794ee 100644
--- a/articles/mo_shapes.html
+++ b/articles/mo_shapes.html
@@ -103,35 +103,35 @@ <h4 data-toc-skip class="date">2024-02-21</h4>
 \geqq 0\}\)</span> and <span class="math inline">\(\mathbb{R}_{\geqslant} = \{ z\in \mathbb{R} \mid z
 \geqslant 0\}\)</span>:</p>
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 </p>
 </div>
 <p>The non-dominated set (red points are non-dominated and black
 dominated):</p>
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 </p>
 </div>
 <p>We may also add dominance cones and the hull:</p>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = 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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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 </p>
 </div>
 <p>Note the area between the hull and the cones is the search area where
 further nondominated points may be found.</p>
 <p>Another example with more unsupported points:</p>
 <div class="figure" style="text-align: center">
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = 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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = 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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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 </p>
 </div>
 <p>We may also plot reverse dominance cones:</p>
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7NzMw+zczMPgAAgD8AAMB/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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef 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7NzMw+zczMPgAAgD8AAMB/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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 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 </p>
 </div>
 <p>Given a lower bound set <span class="math inline">\(L\)</span> (the
@@ -157,29 +157,29 @@ <h4 data-toc-skip class="date">2024-02-21</h4>
 subproblem defines a gray search area). Every point in the red areas is
 included in the search area of more than one subproblem:</p>
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ADAf4im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UBI2xhABHnKPzp/BkBI2xhA/ErBPz0W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\nz0D7lbpAAADAfw2J0UD7lbpAAADAf4/U00D7lbpAAADAfxE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O30CBeMFAAADAf5qZ4UCBeMFAAADAf83MTL0CxMNAAADAfzbosTwCxMNA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\nEz8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ADAf4im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UBI2xhABHnKPzp/BkBI2xhA/ErBPz0W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\nz0D7lbpAAADAfw2J0UD7lbpAAADAf4/U00D7lbpAAADAfxE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O30CBeMFAAADAf5qZ4UCBeMFAAADAf83MTL0CxMNAAADAfzbosTwCxMNA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\nEz8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 </p>
 </div>
 <p>Lower bound set (hyperplane) partially dominated by the upper bound
 set (black points with red dominance cones). Note the two disjoint
 search areas above the hyperplane:</p>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef 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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 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 </p>
 </div>
 <p>Objective branching applied to <span class="math inline">\(y^1\)</span> and <span class="math inline">\(y^2\)</span>. One subproblem is fully included in
 the other subproblem:</p>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p id="rgl27122-aria" hidden>
 </p>
 </div>
   </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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 (<code>rglwidget</code>).</p>
 <p>The ILP model with LP and ILP faces:</p>
 <div class="sourceCode" id="cb5"><pre class="downlit sourceCode r">
@@ -132,39 +132,39 @@
 <span>             argsTitle3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>main <span class="op">=</span> <span class="st">"With LP faces"</span><span class="op">)</span>, argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>box <span class="op">=</span> <span class="cn">F</span>, axes <span class="op">=</span> <span class="cn">T</span><span class="op">)</span> <span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span>, plotFeasible <span class="op">=</span> <span class="cn">FALSE</span>, obj <span class="op">=</span> <span class="va">obj</span>,</span>
 <span>             argsTitle3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>main <span class="op">=</span> <span class="st">"ILP faces"</span><span class="op">)</span> <span class="op">)</span></span></code></pre></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>Let us have a look at some MILP models. MILP model with variable 1
+<div id="rgl61552" style="width:768px;height:476.16px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl61552-aria"></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>Let us have a look at some MILP models. MILP model with variable 1
 and 3 integer:</p>
 <div class="sourceCode" id="cb6"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu"><a href="../reference/loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span>, close <span class="op">=</span> <span class="cn">T</span>, zoom <span class="op">=</span> <span class="fl">0.75</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span><span class="op">)</span></span></code></pre></div>
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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 2 and 3 integer:</p>
 <div class="sourceCode" id="cb7"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu"><a href="../reference/loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span>, zoom <span class="op">=</span> <span class="fl">0.75</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span><span class="op">)</span></span></code></pre></div>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = 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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = 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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 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 <div class="sourceCode" id="cb8"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu"><a href="../reference/loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span>, zoom <span class="op">=</span> <span class="fl">0.75</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"c"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span><span class="op">)</span></span></code></pre></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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(point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 1 integer:</p>
 <div class="sourceCode" id="cb9"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu"><a href="../reference/loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span>, zoom <span class="op">=</span> <span class="fl">0.75</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, plotFaces <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></code></pre></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 2 integer:</p>
 <div class="sourceCode" id="cb10"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu"><a href="../reference/loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span>, zoom <span class="op">=</span> <span class="fl">0.75</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"c"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, plotFaces <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></code></pre></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 3 integer:</p>
 <div class="sourceCode" id="cb11"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu"><a href="../reference/loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span>, zoom <span class="op">=</span> <span class="fl">0.75</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, plotFaces <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></code></pre></div>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>Note you can zoom/turn/twist the figure with your mouse
 (<code>rglwidget</code>).</p>
 <p>The ILP model (note since the vertices are integer the LP and ILP
 faces are equal):</p>
@@ -127,39 +127,39 @@
 <code class="sourceCode R"><span><span class="fu"><a href="../reference/loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span>, close <span class="op">=</span> <span class="cn">T</span>, zoom <span class="op">=</span> <span class="fl">0.75</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, </span>
 <span>             argsTitle3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>main <span class="op">=</span> <span class="st">"With LP faces"</span><span class="op">)</span>, argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>box <span class="op">=</span> <span class="cn">F</span>, axes <span class="op">=</span> <span class="cn">T</span><span class="op">)</span> <span class="op">)</span></span></code></pre></div>
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MILP model with variable 1
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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>Let us have a look at some MILP models. MILP model with variable 1
 and 3 integer:</p>
 <div class="sourceCode" id="cb6"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu"><a href="../reference/loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span>, close <span class="op">=</span> <span class="cn">T</span>, zoom <span class="op">=</span> <span class="fl">0.75</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span><span class="op">)</span></span></code></pre></div>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 2 and 3 integer:</p>
 <div class="sourceCode" id="cb7"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu"><a href="../reference/loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span>, zoom <span class="op">=</span> <span class="fl">0.75</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span><span class="op">)</span></span></code></pre></div>
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 <div class="sourceCode" id="cb8"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu"><a href="../reference/loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span>, zoom <span class="op">=</span> <span class="fl">0.75</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"c"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span><span class="op">)</span></span></code></pre></div>
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luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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 <div class="sourceCode" id="cb9"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu"><a href="../reference/loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span>, zoom <span class="op">=</span> <span class="fl">0.75</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, plotFaces <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></code></pre></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 2 integer:</p>
 <div class="sourceCode" id="cb10"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu"><a href="../reference/loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span>, zoom <span class="op">=</span> <span class="fl">0.75</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"c"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, plotFaces <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></code></pre></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 3 integer:</p>
 <div class="sourceCode" id="cb11"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu"><a href="../reference/loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span>, zoom <span class="op">=</span> <span class="fl">0.75</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, plotFaces <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></code></pre></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script></main>
 </div>
 
 
diff --git a/articles/polytope_3d_ex3.html b/articles/polytope_3d_ex3.html
index 3d5cbad..d99f4be 100644
--- a/articles/polytope_3d_ex3.html
+++ b/articles/polytope_3d_ex3.html
@@ -121,8 +121,8 @@
 <div class="sourceCode" id="cb4"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu"><a href="../reference/loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span>, close <span class="op">=</span> <span class="cn">F</span>, zoom <span class="op">=</span> <span class="fl">0.75</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, labels <span class="op">=</span> <span class="st">"coord"</span><span class="op">)</span></span></code></pre></div>
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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>Note you can zoom/turn/twist the figure with your mouse
 (<code>rglwidget</code>).</p>
 <p>The ILP model (note since the vertices are integer the LP and ILP
 faces are equal):</p>
@@ -130,39 +130,39 @@
 <code class="sourceCode R"><span><span class="fu"><a href="../reference/loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span>, close <span class="op">=</span> <span class="cn">F</span>, zoom <span class="op">=</span> <span class="fl">0.75</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, </span>
 <span>             argsTitle3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>main <span class="op">=</span> <span class="st">"With LP faces"</span><span class="op">)</span>, argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>box <span class="op">=</span> <span class="cn">F</span>, axes <span class="op">=</span> <span class="cn">T</span><span class="op">)</span> <span class="op">)</span></span></code></pre></div>
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MILP
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>Let us have a look at some MILP models (we use static images). MILP
 model with variable 1 and 3 integer:</p>
 <div class="sourceCode" id="cb6"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu"><a href="../reference/loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span>, close <span class="op">=</span> <span class="cn">T</span>, zoom <span class="op">=</span> <span class="fl">0.75</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span><span class="op">)</span></span></code></pre></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 2 and 3 integer:</p>
 <div class="sourceCode" id="cb7"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu"><a href="../reference/loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span>, zoom <span class="op">=</span> <span class="fl">0.75</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span><span class="op">)</span></span></code></pre></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 1 and 2 integer:</p>
 <div class="sourceCode" id="cb8"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu"><a href="../reference/loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span>, zoom <span class="op">=</span> <span class="fl">0.75</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"c"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span><span class="op">)</span></span></code></pre></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 1 integer:</p>
 <div class="sourceCode" id="cb9"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu"><a href="../reference/loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span>, zoom <span class="op">=</span> <span class="fl">0.75</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, plotFaces <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></code></pre></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>MILP model with variable 2 integer:</p>
 <div class="sourceCode" id="cb10"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu"><a href="../reference/loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span>, zoom <span class="op">=</span> <span class="fl">0.75</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"c"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, plotFaces <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></code></pre></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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 <div class="sourceCode" id="cb11"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu"><a href="../reference/loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span>, zoom <span class="op">=</span> <span class="fl">0.75</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, plotFaces <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></code></pre></div>
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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p id="rgl67664-aria" hidden>
 </p>
 </div>
 <p>Note in the html file you can zoom/turn/twist the figure with your
@@ -141,8 +141,8 @@
 <span>             argsTitle3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>main <span class="op">=</span> <span class="st">"ILP faces"</span><span class="op">)</span> <span class="op">)</span></span>
 <span><span class="fu">rglwidget</span><span class="op">(</span><span class="op">)</span></span></code></pre></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p id="rgl12083-aria" hidden>
 </p>
 </div>
 <p>Let us have a look at some MILP models. MILP model with variable 1
@@ -152,8 +152,8 @@
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span><span class="op">)</span></span>
 <span><span class="fu">rglwidget</span><span class="op">(</span><span class="op">)</span></span></code></pre></div>
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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p id="rgl40308-aria" hidden>
 </p>
 </div>
 <p>MILP model with variable 2 and 3 integer:</p>
@@ -162,8 +162,8 @@
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span><span class="op">)</span></span>
 <span><span class="fu">rglwidget</span><span class="op">(</span><span class="op">)</span></span></code></pre></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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 </p>
 </div>
 <p>MILP model with variable 1 and 2 integer:</p>
@@ -172,8 +172,8 @@
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"c"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span><span class="op">)</span></span>
 <span><span class="fu">rglwidget</span><span class="op">(</span><span class="op">)</span></span></code></pre></div>
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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p id="rgl34284-aria" hidden>
 </p>
 </div>
 <p>MILP model with variable 1 integer:</p>
@@ -182,8 +182,8 @@
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span><span class="op">)</span></span>
 <span><span class="fu">rglwidget</span><span class="op">(</span><span class="op">)</span></span></code></pre></div>
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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p id="rgl87526-aria" hidden>
 </p>
 </div>
 <p>MILP model with variable 2 integer:</p>
@@ -192,8 +192,8 @@
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"c"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span><span class="op">)</span></span>
 <span><span class="fu">rglwidget</span><span class="op">(</span><span class="op">)</span></span></code></pre></div>
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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p id="rgl57226-aria" hidden>
 </p>
 </div>
 <p>MILP model with variable 3 integer:</p>
@@ -202,8 +202,8 @@
 <span><span class="fu"><a href="../reference/plotPolytope.html">plotPolytope</a></span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span><span class="op">)</span></span>
 <span><span class="fu">rglwidget</span><span class="op">(</span><span class="op">)</span></span></code></pre></div>
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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p id="rgl42517-aria" hidden>
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diff --git a/articles/tri-objective.html b/articles/tri-objective.html
index a7645b5..4cab52f 100644
--- a/articles/tri-objective.html
+++ b/articles/tri-objective.html
@@ -128,8 +128,8 @@ <h4 data-toc-skip class="date">2024-02-21</h4>
 <span><span class="fu"><a href="../reference/plotCones3D.html">plotCones3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span>,<span class="fl">1</span><span class="op">:</span><span class="fl">3</span><span class="op">]</span>, rectangle <span class="op">=</span> <span class="cn">TRUE</span>, argsPolygon3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>alpha <span class="op">=</span> <span class="fl">1</span>, color <span class="op">=</span> <span class="st">"cornflowerblue"</span><span class="op">)</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotHull3D.html">plotHull3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span>,<span class="fl">1</span><span class="op">:</span><span class="fl">3</span><span class="op">]</span>, addRays <span class="op">=</span> <span class="cn">TRUE</span>, argsPolygon3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>alpha <span class="op">=</span> <span class="fl">0.25</span>, color <span class="op">=</span> <span class="st">"red"</span><span class="op">)</span>, useRGLBBox <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/finalize3D.html">finalize3D</a></span><span class="op">(</span>argsAxes3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>edges <span class="op">=</span> <span class="st">"bbox"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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(point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p>Example with many supported:</p>
 <div class="sourceCode" id="cb3"><pre class="downlit sourceCode r">
 <code class="sourceCode R"><span><span class="fu"><a href="../reference/loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span><span class="op">)</span></span>
 <span><span class="va">pts</span> <span class="op">&lt;-</span> <span class="fu"><a href="../reference/genNDSet.html">genNDSet</a></span><span class="op">(</span><span class="fl">3</span>, <span class="fl">10</span>, argsSphere <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>below <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span>, dubND <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span>
@@ -143,8 +143,8 @@ <h4 data-toc-skip class="date">2024-02-21</h4>
 <span><span class="fu"><a href="../reference/plotCones3D.html">plotCones3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span>,<span class="fl">1</span><span class="op">:</span><span class="fl">3</span><span class="op">]</span>, rectangle <span class="op">=</span> <span class="cn">TRUE</span>, argsPolygon3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>alpha <span class="op">=</span> <span class="fl">1</span>, color <span class="op">=</span> <span class="st">"cornflowerblue"</span><span class="op">)</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/plotHull3D.html">plotHull3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span>,<span class="fl">1</span><span class="op">:</span><span class="fl">3</span><span class="op">]</span>, addRays <span class="op">=</span> <span class="cn">TRUE</span>, argsPolygon3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>alpha <span class="op">=</span> <span class="fl">0.25</span>, color <span class="op">=</span> <span class="st">"red"</span><span class="op">)</span>, useRGLBBox <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span>
 <span><span class="fu"><a href="../reference/finalize3D.html">finalize3D</a></span><span class="op">(</span>argsAxes3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>edges <span class="op">=</span> <span class="st">"bbox"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = 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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = 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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><div class="section level2">
 <h2 id="classifying">Classifying<a class="anchor" aria-label="anchor" href="#classifying"></a>
 </h2>
 <p>Non-dominated points can be classified using
@@ -173,8 +173,8 @@ <h2 id="classifying">Classifying<a class="anchor" aria-label="anchor" href="#cla
 <span><span class="fu"><a href="../reference/finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span>
 <span><span class="fu">rglwidget</span><span class="op">(</span>reuse <span class="op">=</span> <span class="cn">F</span><span class="op">)</span></span></code></pre></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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 </p>
 </div>
 <div class="sourceCode" id="cb5"><pre class="downlit sourceCode r">
@@ -215,8 +215,8 @@ <h2 id="classifying">Classifying<a class="anchor" aria-label="anchor" href="#cla
 <span><span class="fu"><a href="../reference/finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span>
 <span><span class="fu">rglwidget</span><span class="op">(</span>reuse <span class="op">=</span> <span class="cn">F</span><span class="op">)</span></span></code></pre></div>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = 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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><p id="rgl22748-aria" hidden>
 </p>
 </div>
 <p>The classification is done using the <code>qhull</code> algorithm
diff --git a/pkgdown.yml b/pkgdown.yml
index 67c1e60..9d45cd3 100644
--- a/pkgdown.yml
+++ b/pkgdown.yml
@@ -16,7 +16,7 @@ articles:
   polytope_3d_ex3: polytope_3d_ex3.html
   polytope_3d_ex4: polytope_3d_ex4.html
   tri-objective: tri-objective.html
-last_built: 2024-02-21T13:41Z
+last_built: 2024-02-21T14:48Z
 urls:
   reference: http://relund.github.io/gMOIP/reference
   article: http://relund.github.io/gMOIP/articles
diff --git a/reference/addNDSet.html b/reference/addNDSet.html
index c0ccb6e..591e18a 100644
--- a/reference/addNDSet.html
+++ b/reference/addNDSet.html
@@ -177,9 +177,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">nDSet</span>, argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>col <span class="op">=</span> <span class="st">"red"</span><span class="op">)</span>, addText <span class="op">=</span> <span class="st">"coord"</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span>, addText <span class="op">=</span> <span class="st">"coord"</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl53238-aria" hidden>3D plot</p>
-<div id="rgl53238" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl53238-aria"></div>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="fu">addNDSet</span><span class="op">(</span><span class="va">pts</span>, <span class="va">nDSet</span>, <span class="va">crit</span>, dubND <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span>   z1 z2 z3   nd    se   sne    us cls</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> 1 14 16  7 TRUE  TRUE FALSE FALSE  se</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> 2 12 18  2 TRUE  TRUE FALSE FALSE  se</span>
diff --git a/reference/classifyNDSet.html b/reference/classifyNDSet.html
index 64696ac..ba46d95 100644
--- a/reference/classifyNDSet.html
+++ b/reference/classifyNDSet.html
@@ -114,9 +114,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span><span class="va">pts</span><span class="op">$</span><span class="va">us</span>,<span class="fl">1</span><span class="op">:</span><span class="fl">3</span><span class="op">]</span>, argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>col <span class="op">=</span> <span class="st">"blue"</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="plotCones3D.html">plotCones3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span>,<span class="fl">1</span><span class="op">:</span><span class="fl">3</span><span class="op">]</span>, rectangle <span class="op">=</span> <span class="cn">TRUE</span>, argsPolygon3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>alpha <span class="op">=</span> <span class="fl">1</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl17485-aria" hidden>3D plot</p>
-<div id="rgl17485" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl17485-aria"></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="va">pts</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span>     z1  z2   z3    se   sne    us cls</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> 1 0.00 0.0 1.00  TRUE FALSE FALSE  se</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> 2 0.00 1.0 0.00  TRUE FALSE FALSE  se</span>
@@ -137,9 +137,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span><span class="va">pts</span><span class="op">$</span><span class="va">us</span>,<span class="fl">1</span><span class="op">:</span><span class="fl">3</span><span class="op">]</span>, argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>col <span class="op">=</span> <span class="st">"blue"</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="plotCones3D.html">plotCones3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span>,<span class="fl">1</span><span class="op">:</span><span class="fl">3</span><span class="op">]</span>, rectangle <span class="op">=</span> <span class="cn">TRUE</span>, argsPolygon3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>alpha <span class="op">=</span> <span class="fl">1</span><span class="op">)</span>, direction <span class="op">=</span> <span class="va">di</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl16394-aria" hidden>3D plot</p>
-<div id="rgl16394" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl16394-aria"></div>
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+<p id="rgl67522-aria" hidden>3D plot</p>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="va">pts</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span>    z1   z2   z3    se   sne    us cls</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> 1 0.0 0.00 1.00  TRUE FALSE FALSE  se</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> 2 0.0 1.00 0.00  TRUE FALSE FALSE  se</span>
@@ -169,9 +169,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span><span class="va">pts</span><span class="op">$</span><span class="va">sne</span>,<span class="fl">1</span><span class="op">:</span><span class="fl">3</span><span class="op">]</span>, argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>col <span class="op">=</span> <span class="st">"black"</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span><span class="va">pts</span><span class="op">$</span><span class="va">us</span>,<span class="fl">1</span><span class="op">:</span><span class="fl">3</span><span class="op">]</span>, argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>col <span class="op">=</span> <span class="st">"blue"</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl23766-aria" hidden>3D plot</p>
-<div id="rgl23766" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl23766-aria"></div>
-<script type="application/json" 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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = 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? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="va">pts</span></span></span>
+<p id="rgl88842-aria" hidden>3D plot</p>
+<div id="rgl88842" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl88842-aria"></div>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="va">pts</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span>    z1 z2 z3    se   sne    us cls</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> 1  23 28 16  TRUE FALSE FALSE  se</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> 2  16 57 16  TRUE FALSE FALSE  se</span>
@@ -199,9 +199,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span><span class="va">pts</span><span class="op">$</span><span class="va">sne</span>,<span class="fl">1</span><span class="op">:</span><span class="fl">3</span><span class="op">]</span>, argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>col <span class="op">=</span> <span class="st">"black"</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span><span class="va">pts</span><span class="op">$</span><span class="va">us</span>,<span class="fl">1</span><span class="op">:</span><span class="fl">3</span><span class="op">]</span>, argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>col <span class="op">=</span> <span class="st">"blue"</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl76309-aria" hidden>3D plot</p>
-<div id="rgl76309" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl76309-aria"></div>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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+<p id="rgl33823-aria" hidden>3D plot</p>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="va">pts</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span>    z1 z2 z3    se   sne    us cls</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> 1  92 36 27  TRUE FALSE FALSE  se</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> 2  74 75 15 FALSE FALSE  TRUE  us</span>
diff --git a/reference/convexHull.html b/reference/convexHull.html
index 31903c0..bbfa6dc 100644
--- a/reference/convexHull.html
+++ b/reference/convexHull.html
@@ -310,7 +310,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-out co"><span class="r-pr">#&gt;</span> [3,]    4    3    1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> [4,]    4    3    2</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> attr(,"convhulln")</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> &lt;pointer: 0x55b2a16cb280&gt;</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> &lt;pointer: 0x564c5a566ed0&gt;</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> </span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $pts</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span>   p1 p2 p3 pt  vtx</span>
@@ -332,7 +332,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-out co"><span class="r-pr">#&gt;</span> [3,]    4    3    1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> [4,]    4    3    2</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> attr(,"convhulln")</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> &lt;pointer: 0x55b2a6892b00&gt;</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> &lt;pointer: 0x564c5f4c7300&gt;</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> </span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $pts</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span>   p1 p2 p3 pt  vtx</span>
@@ -367,9 +367,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-out co"><span class="r-pr">#&gt;</span> 8   7  7  7  0  TRUE</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> </span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl50775-aria" hidden>3D plot</p>
-<div id="rgl50775" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl50775-aria"></div>
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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span></span></span>
+<p id="rgl33925-aria" hidden>3D plot</p>
+<div id="rgl33925" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl33925-aria"></div>
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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span></span></span>
 </code></pre></div>
     </div>
   </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
diff --git a/reference/finalize3D.html b/reference/finalize3D.html
index d8bf7ac..5fcceb3 100644
--- a/reference/finalize3D.html
+++ b/reference/finalize3D.html
@@ -96,16 +96,16 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="va">pts</span><span class="op">&lt;-</span><span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">1</span>,<span class="fl">1</span>,<span class="fl">1</span>,<span class="fl">5</span>,<span class="fl">5</span>,<span class="fl">5</span><span class="op">)</span>, ncol <span class="op">=</span> <span class="fl">3</span>, byrow <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">finalize3D</span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl76435-aria" hidden>3D plot</p>
-<div id="rgl76435" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl76435-aria"></div>
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+<p id="rgl80604-aria" hidden>3D plot</p>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="ini3D.html">ini3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="va">pts</span><span class="op">&lt;-</span><span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">1</span>,<span class="fl">1</span>,<span class="fl">1</span>,<span class="fl">5</span>,<span class="fl">5</span>,<span class="fl">5</span><span class="op">)</span>, ncol <span class="op">=</span> <span class="fl">3</span>, byrow <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">finalize3D</span><span class="op">(</span>argsAxes3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>edges <span class="op">=</span> <span class="st">"bbox"</span><span class="op">)</span><span class="op">)</span></span></span>
-<p id="rgl96156-aria" hidden>3D plot</p>
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(point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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+<p id="rgl73560-aria" hidden>3D plot</p>
+<div id="rgl73560" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl73560-aria"></div>
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(point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># }</span></span></span>
 </code></pre></div>
     </div>
   </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
diff --git a/reference/genNDSet.html b/reference/genNDSet.html
index ca5e889..f72475e 100644
--- a/reference/genNDSet.html
+++ b/reference/genNDSet.html
@@ -169,9 +169,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span><span class="va">pts</span><span class="op">$</span><span class="va">nd</span>,<span class="fl">1</span><span class="op">:</span><span class="fl">3</span><span class="op">]</span>, argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>col <span class="op">=</span> <span class="st">"red"</span>, size <span class="op">=</span> <span class="fl">10</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="plotCones3D.html">plotCones3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span><span class="va">pts</span><span class="op">$</span><span class="va">nd</span>,<span class="fl">1</span><span class="op">:</span><span class="fl">3</span><span class="op">]</span>, argsPolygon3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>alpha <span class="op">=</span> <span class="fl">1</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl41932-aria" hidden>3D plot</p>
-<div id="rgl41932" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl41932-aria"></div>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span></span></span>
+<p id="rgl44509-aria" hidden>3D plot</p>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="co">## Between planes</span></span></span>
 <span class="r-in"><span><span class="va">range</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">1</span>,<span class="fl">10000</span>, <span class="fl">1</span>,<span class="fl">10000</span><span class="op">)</span>, ncol <span class="op">=</span> <span class="fl">2</span>, byrow <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
@@ -217,9 +217,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span><span class="va">pts</span><span class="op">$</span><span class="va">nd</span>,<span class="fl">1</span><span class="op">:</span><span class="fl">3</span><span class="op">]</span>, argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>col <span class="op">=</span> <span class="st">"red"</span>, size <span class="op">=</span> <span class="fl">10</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">rgl</span><span class="fu">::</span><span class="fu"><a href="https://dmurdoch.github.io/rgl/dev/reference/planes.html" class="external-link">planes3d</a></span><span class="op">(</span><span class="va">planeL</span><span class="op">[</span><span class="fl">1</span><span class="op">]</span>, <span class="va">planeL</span><span class="op">[</span><span class="fl">2</span><span class="op">]</span>, <span class="va">planeL</span><span class="op">[</span><span class="fl">3</span><span class="op">]</span>, <span class="va">planeL</span><span class="op">[</span><span class="fl">4</span><span class="op">]</span>, alpha <span class="op">=</span> <span class="fl">0.5</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">rgl</span><span class="fu">::</span><span class="fu"><a href="https://dmurdoch.github.io/rgl/dev/reference/planes.html" class="external-link">planes3d</a></span><span class="op">(</span><span class="va">planeU</span><span class="op">[</span><span class="fl">1</span><span class="op">]</span>, <span class="va">planeU</span><span class="op">[</span><span class="fl">2</span><span class="op">]</span>, <span class="va">planeU</span><span class="op">[</span><span class="fl">3</span><span class="op">]</span>, <span class="va">planeU</span><span class="op">[</span><span class="fl">4</span><span class="op">]</span>, alpha <span class="op">=</span> <span class="fl">0.5</span><span class="op">)</span></span></span>
-<p id="rgl18022-aria" hidden>3D plot</p>
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+<p id="rgl11356-aria" hidden>3D plot</p>
+<div id="rgl11356" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl11356-aria"></div>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = 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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="co">## On a sphere</span></span></span>
@@ -232,9 +232,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span><span class="va">pts</span><span class="op">$</span><span class="va">nd</span>,<span class="op">]</span>, argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>col <span class="op">=</span> <span class="st">"red"</span>, size <span class="op">=</span> <span class="fl">10</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">rgl</span><span class="fu">::</span><span class="fu"><a href="https://dmurdoch.github.io/rgl/dev/reference/planes.html" class="external-link">planes3d</a></span><span class="op">(</span><span class="va">cent</span><span class="op">[</span><span class="fl">1</span><span class="op">]</span>,<span class="va">cent</span><span class="op">[</span><span class="fl">2</span><span class="op">]</span>,<span class="va">cent</span><span class="op">[</span><span class="fl">3</span><span class="op">]</span>,<span class="op">-</span><span class="fu"><a href="https://rdrr.io/r/base/sum.html" class="external-link">sum</a></span><span class="op">(</span><span class="va">cent</span><span class="op">^</span><span class="fl">2</span><span class="op">)</span>, alpha <span class="op">=</span> <span class="fl">0.5</span>, col <span class="op">=</span> <span class="st">"red"</span><span class="op">)</span></span></span>
-<p id="rgl62925-aria" hidden>3D plot</p>
-<div id="rgl62925" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl62925-aria"></div>
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+<p id="rgl35102-aria" hidden>3D plot</p>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = 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? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="ini3D.html">ini3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="va">cent</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">100</span>,<span class="fl">100</span>,<span class="fl">100</span><span class="op">)</span></span></span>
@@ -247,12 +247,12 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span><span class="va">pts</span><span class="op">$</span><span class="va">nd</span>,<span class="op">]</span>, argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>col <span class="op">=</span> <span class="st">"red"</span>, size <span class="op">=</span> <span class="fl">10</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">rgl</span><span class="fu">::</span><span class="fu"><a href="https://dmurdoch.github.io/rgl/dev/reference/planes.html" class="external-link">planes3d</a></span><span class="op">(</span><span class="va">planeC</span><span class="op">[</span><span class="fl">1</span><span class="op">]</span>,<span class="va">planeC</span><span class="op">[</span><span class="fl">2</span><span class="op">]</span>,<span class="va">planeC</span><span class="op">[</span><span class="fl">3</span><span class="op">]</span>,<span class="va">planeC</span><span class="op">[</span><span class="fl">4</span><span class="op">]</span>, alpha <span class="op">=</span> <span class="fl">0.5</span>, col <span class="op">=</span> <span class="st">"red"</span><span class="op">)</span></span></span>
-<p id="rgl8062-aria" hidden>3D plot</p>
-<div id="rgl8062" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl8062-aria"></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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+<p id="rgl30213-aria" hidden>3D plot</p>
+<div id="rgl30213" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl30213-aria"></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<p id="rgl39800-aria" hidden>3D plot</p>
+<div id="rgl39800" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl39800-aria"></div>
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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># }</span></span></span>
 </code></pre></div>
     </div>
   </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
diff --git a/reference/genSample.html b/reference/genSample.html
index 93ed731..c902130 100644
--- a/reference/genSample.html
+++ b/reference/genSample.html
@@ -196,9 +196,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-out co"><span class="r-pr">#&gt;</span> max  100  100   50</span>
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl25868-aria" hidden>3D plot</p>
-<div id="rgl25868" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl25868-aria"></div>
-<script type="application/json" 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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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+<p id="rgl53860-aria" hidden>3D plot</p>
+<div id="rgl53860" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl53860-aria"></div>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># }</span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="co">## other p</span></span></span>
 <span class="r-in"><span><span class="va">p</span> <span class="op">&lt;-</span> <span class="fl">10</span></span></span>
@@ -265,12 +265,12 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">rgl</span><span class="fu">::</span><span class="fu"><a href="https://dmurdoch.github.io/rgl/dev/reference/planes.html" class="external-link">planes3d</a></span><span class="op">(</span><span class="va">planeL</span><span class="op">[</span><span class="fl">1</span><span class="op">]</span>, <span class="va">planeL</span><span class="op">[</span><span class="fl">2</span><span class="op">]</span>, <span class="va">planeL</span><span class="op">[</span><span class="fl">3</span><span class="op">]</span>, <span class="va">planeL</span><span class="op">[</span><span class="fl">4</span><span class="op">]</span>, alpha <span class="op">=</span> <span class="fl">0.5</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">rgl</span><span class="fu">::</span><span class="fu"><a href="https://dmurdoch.github.io/rgl/dev/reference/planes.html" class="external-link">planes3d</a></span><span class="op">(</span><span class="va">planeU</span><span class="op">[</span><span class="fl">1</span><span class="op">]</span>, <span class="va">planeU</span><span class="op">[</span><span class="fl">2</span><span class="op">]</span>, <span class="va">planeU</span><span class="op">[</span><span class="fl">3</span><span class="op">]</span>, <span class="va">planeU</span><span class="op">[</span><span class="fl">4</span><span class="op">]</span>, alpha <span class="op">=</span> <span class="fl">0.5</span><span class="op">)</span></span></span>
-<p id="rgl18420-aria" hidden>3D plot</p>
-<div id="rgl18420" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl18420-aria"></div>
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-<p id="rgl92683-aria" hidden>3D plot</p>
-<div id="rgl92683" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl92683-aria"></div>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># }</span></span></span>
+<p id="rgl92397-aria" hidden>3D plot</p>
+<div id="rgl92397" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl92397-aria"></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<p id="rgl36949-aria" hidden>3D plot</p>
+<div id="rgl36949" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl36949-aria"></div>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># }</span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="co">### Using sphere</span></span></span>
@@ -329,9 +329,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fu">rgl</span><span class="fu">::</span><span class="fu"><a href="https://dmurdoch.github.io/rgl/dev/reference/spheres.html" class="external-link">spheres3d</a></span><span class="op">(</span><span class="va">cent</span>, radius<span class="op">=</span><span class="fl">49.5</span>, color <span class="op">=</span> <span class="st">"grey100"</span>, alpha<span class="op">=</span><span class="fl">0.1</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">rgl</span><span class="fu">::</span><span class="fu"><a href="https://dmurdoch.github.io/rgl/dev/reference/planes.html" class="external-link">planes3d</a></span><span class="op">(</span><span class="va">cent</span><span class="op">[</span><span class="fl">1</span><span class="op">]</span>,<span class="va">cent</span><span class="op">[</span><span class="fl">2</span><span class="op">]</span>,<span class="va">cent</span><span class="op">[</span><span class="fl">3</span><span class="op">]</span>,<span class="op">-</span><span class="fu"><a href="https://rdrr.io/r/base/sum.html" class="external-link">sum</a></span><span class="op">(</span><span class="va">cent</span><span class="op">^</span><span class="fl">2</span><span class="op">)</span>, alpha <span class="op">=</span> <span class="fl">0.5</span>, col <span class="op">=</span> <span class="st">"red"</span><span class="op">)</span></span></span>
-<p id="rgl28234-aria" hidden>3D plot</p>
-<div id="rgl28234" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl28234-aria"></div>
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+<p id="rgl9806-aria" hidden>3D plot</p>
+<div id="rgl9806" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl9806-aria"></div>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="ini3D.html">ini3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="va">cent</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">100</span>,<span class="fl">100</span>,<span class="fl">100</span><span class="op">)</span></span></span>
@@ -343,9 +343,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fu">rgl</span><span class="fu">::</span><span class="fu"><a href="https://dmurdoch.github.io/rgl/dev/reference/spheres.html" class="external-link">spheres3d</a></span><span class="op">(</span><span class="va">cent</span>, radius<span class="op">=</span><span class="va">r</span>, color <span class="op">=</span> <span class="st">"grey100"</span>, alpha<span class="op">=</span><span class="fl">0.1</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">rgl</span><span class="fu">::</span><span class="fu"><a href="https://dmurdoch.github.io/rgl/dev/reference/planes.html" class="external-link">planes3d</a></span><span class="op">(</span><span class="va">planeC</span><span class="op">[</span><span class="fl">1</span><span class="op">]</span>,<span class="va">planeC</span><span class="op">[</span><span class="fl">2</span><span class="op">]</span>,<span class="va">planeC</span><span class="op">[</span><span class="fl">3</span><span class="op">]</span>,<span class="va">planeC</span><span class="op">[</span><span class="fl">4</span><span class="op">]</span>, alpha <span class="op">=</span> <span class="fl">0.5</span>, col <span class="op">=</span> <span class="st">"red"</span><span class="op">)</span></span></span>
-<p id="rgl35419-aria" hidden>3D plot</p>
-<div id="rgl35419" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl35419-aria"></div>
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+<p id="rgl2948-aria" hidden>3D plot</p>
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 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="ini3D.html">ini3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="va">pts</span> <span class="op">&lt;-</span> <span class="fu">genSample</span><span class="op">(</span><span class="fl">3</span>, <span class="fl">10000</span>, argsSphere <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>center <span class="op">=</span> <span class="va">cent</span>, radius <span class="op">=</span> <span class="va">r</span>, below <span class="op">=</span> <span class="cn">NULL</span><span class="op">)</span><span class="op">)</span></span></span>
@@ -354,13 +354,13 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-out co"><span class="r-pr">#&gt;</span> min   25   25   25</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> max  175  175  175</span>
 <span class="r-in"><span><span class="fu">rgl</span><span class="fu">::</span><span class="fu"><a href="https://dmurdoch.github.io/rgl/dev/reference/spheres.html" class="external-link">spheres3d</a></span><span class="op">(</span><span class="va">cent</span>, radius<span class="op">=</span><span class="va">r</span>, color <span class="op">=</span> <span class="st">"grey100"</span>, alpha<span class="op">=</span><span class="fl">0.1</span><span class="op">)</span></span></span>
-<p id="rgl81525-aria" hidden>3D plot</p>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">)</span></span></span>
+<p id="rgl60951-aria" hidden>3D plot</p>
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 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl18351-aria" hidden>3D plot</p>
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7cydYN58mh0xoqoCTVistVzMuMXEs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\nI19AaVCskG6gVSuTJlaLi5c+gaZ3PpSPcKVAM0Y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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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+<p id="rgl77101-aria" hidden>3D plot</p>
+<div id="rgl77101" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl77101-aria"></div>
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7cydYN58mh0xoqoCTVistVzMuMXEs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\nI19AaVCskG6gVSuTJlaLi5c+gaZ3PpSPcKVAM0Y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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># }</span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="co">## Other p</span></span></span>
 <span class="r-in"><span><span class="va">p</span> <span class="op">&lt;-</span> <span class="fl">10</span></span></span>
@@ -14725,17 +14725,17 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-out co"><span class="r-pr">#&gt;</span> max  100  200   50</span>
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl98438-aria" hidden>3D plot</p>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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+<p id="rgl20311-aria" hidden>3D plot</p>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="ini3D.html">ini3D</a></span><span class="op">(</span>argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>box <span class="op">=</span> <span class="cn">TRUE</span>, axes <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="va">pts</span> <span class="op">&lt;-</span> <span class="fu">genSample</span><span class="op">(</span><span class="fl">3</span>, <span class="fl">1000</span>, range <span class="op">=</span> <span class="va">range</span>, box <span class="op">=</span> <span class="cn">TRUE</span>, ,</span></span>
 <span class="r-in"><span>                 argsBox <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>cor <span class="op">=</span> <span class="st">"idxAlt"</span>, intervals <span class="op">=</span> <span class="fl">6</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl13336-aria" hidden>3D plot</p>
-<div id="rgl13336" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl13336-aria"></div>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="ini3D.html">ini3D</a></span><span class="op">(</span>argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>box <span class="op">=</span> <span class="cn">TRUE</span>, axes <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="va">pts</span> <span class="op">&lt;-</span> <span class="fu">genSample</span><span class="op">(</span><span class="fl">3</span>, <span class="fl">1000</span>, range <span class="op">=</span> <span class="va">range</span>, box <span class="op">=</span> <span class="cn">TRUE</span>, , argsBox <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>cor <span class="op">=</span> <span class="st">"idxRand"</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">)</span></span></span>
@@ -14743,16 +14743,16 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span>                 argsBox <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>cor <span class="op">=</span> <span class="st">"idxRand"</span>, prHigh <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">0.1</span>,<span class="fl">0.6</span>,<span class="fl">0.1</span><span class="op">)</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span>, argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>col<span class="op">=</span><span class="st">"red"</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl12372-aria" hidden>3D plot</p>
-<div id="rgl12372" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl12372-aria"></div>
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pCEadLks7DRXFD10qCFQfL1mzMgw0DgoSDxgbCFYjD10OBVCw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\nxwgOsCUYFQYcnQ0OjQ0Gwg4djgoiiQsXj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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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pCEadLks7DRXFD10qCFQfL1mzMgw0DgoSDxgbCFYjD10OBVCw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\nxwgOsCUYFQYcnQ0OjQ0Gwg4djgoiiQsXj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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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 <span class="r-in"><span><span class="fu"><a href="ini3D.html">ini3D</a></span><span class="op">(</span>argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>box <span class="op">=</span> <span class="cn">TRUE</span>, axes <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="va">pts</span> <span class="op">&lt;-</span> <span class="fu">genSample</span><span class="op">(</span><span class="fl">3</span>, <span class="fl">1000</span>, range <span class="op">=</span> <span class="va">range</span>, box <span class="op">=</span> <span class="cn">TRUE</span>, , argsBox <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>cor <span class="op">=</span> <span class="st">"idxSplit"</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl78392-aria" hidden>3D plot</p>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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+<p id="rgl5219-aria" hidden>3D plot</p>
+<div id="rgl5219" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl5219-aria"></div>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># }</span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="co">## other p</span></span></span>
 <span class="r-in"><span><span class="va">p</span> <span class="op">&lt;-</span> <span class="fl">10</span></span></span>
diff --git a/reference/getTexture.html b/reference/getTexture.html
index 9e2ec55..31911dc 100644
--- a/reference/getTexture.html
+++ b/reference/getTexture.html
@@ -112,7 +112,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-plt img"><img src="getTexture-1.png" alt="" width="700" height="433"></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu">getTexture</span><span class="op">(</span><span class="op">)</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> [1] "/tmp/RtmpvObARA/file1a2f52cda44f.png"</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> [1] "/tmp/RtmpUha347/file19433281ae97.png"</span>
 <span class="r-in"><span><span class="co"># }</span></span></span>
 </code></pre></div>
     </div>
diff --git a/reference/inHull.html b/reference/inHull.html
index f1db4ec..545b944 100644
--- a/reference/inHull.html
+++ b/reference/inHull.html
@@ -163,9 +163,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="va">pt</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">1</span>,<span class="fl">1</span>,<span class="fl">1</span>, <span class="fl">2</span>,<span class="fl">2</span>,<span class="fl">2</span>, <span class="fl">3</span>,<span class="fl">3</span>,<span class="fl">3</span>, <span class="fl">4</span>,<span class="fl">4</span>,<span class="fl">4</span>, <span class="fl">3</span>,<span class="fl">3</span>,<span class="fl">2</span><span class="op">)</span>, ncol <span class="op">=</span> <span class="fl">3</span>, byrow <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pt</span>, addText <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl95177-aria" hidden>3D plot</p>
-<div id="rgl95177" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl95177-aria"></div>
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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="fu">inHull</span><span class="op">(</span><span class="va">pt</span>, <span class="va">vertices</span><span class="op">)</span></span></span>
+<p id="rgl64667-aria" hidden>3D plot</p>
+<div id="rgl64667" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl64667-aria"></div>
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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="fu">inHull</span><span class="op">(</span><span class="va">pt</span>, <span class="va">vertices</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> [1] -1  0  0  0 -1</span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="va">vertices</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">1</span>,<span class="fl">0</span>,<span class="fl">0</span>, <span class="fl">1</span>,<span class="fl">1</span>,<span class="fl">0</span>, <span class="fl">1</span>,<span class="fl">0</span>,<span class="fl">1</span><span class="op">)</span>, ncol <span class="op">=</span> <span class="fl">3</span>, byrow <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
@@ -174,9 +174,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="va">pt</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">1</span>,<span class="fl">0.1</span>,<span class="fl">0.2</span>, <span class="fl">3</span>,<span class="fl">3</span>,<span class="fl">2</span><span class="op">)</span>, ncol <span class="op">=</span> <span class="fl">3</span>, byrow <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pt</span>, addText <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl91258-aria" hidden>3D plot</p>
-<div id="rgl91258" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl91258-aria"></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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+<p id="rgl74300-aria" hidden>3D plot</p>
+<div id="rgl74300" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl74300-aria"></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="fu">inHull</span><span class="op">(</span><span class="va">pt</span>, <span class="va">vertices</span><span class="op">)</span></span></span>
 <span class="r-wrn co"><span class="r-pr">#&gt;</span> <span class="warning">Warning: </span>Using PCA to transform. Results for pts index 1 might not be accurate!</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> [1]  0 -1</span>
 <span class="r-in"><span></span></span>
@@ -187,9 +187,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="va">pt</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">1</span>,<span class="fl">1</span>,<span class="fl">1</span>, <span class="fl">3</span>,<span class="fl">3</span>,<span class="fl">3</span>, <span class="fl">2</span>,<span class="fl">2</span>,<span class="fl">2</span>, <span class="fl">3</span>,<span class="fl">3</span>,<span class="fl">2</span><span class="op">)</span>, ncol <span class="op">=</span> <span class="fl">3</span>, byrow <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pt</span>, addText <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl1148-aria" hidden>3D plot</p>
-<div id="rgl1148" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl1148-aria"></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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+<p id="rgl50209-aria" hidden>3D plot</p>
+<div id="rgl50209" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl50209-aria"></div>
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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="fu">inHull</span><span class="op">(</span><span class="va">pt</span>, <span class="va">vertices</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> [1] -1  1  0  0</span>
 <span class="r-in"><span><span class="co"># }</span></span></span>
 <span class="r-in"><span></span></span>
diff --git a/reference/ini3D.html b/reference/ini3D.html
index 5cb3239..d2ad176 100644
--- a/reference/ini3D.html
+++ b/reference/ini3D.html
@@ -104,16 +104,16 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="va">pts</span><span class="op">&lt;-</span><span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">1</span>,<span class="fl">1</span>,<span class="fl">1</span>,<span class="fl">5</span>,<span class="fl">5</span>,<span class="fl">5</span><span class="op">)</span>, ncol <span class="op">=</span> <span class="fl">3</span>, byrow <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl1728-aria" hidden>3D plot</p>
-<div id="rgl1728" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl1728-aria"></div>
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+<p id="rgl52827-aria" hidden>3D plot</p>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="va">lim</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="op">-</span><span class="fl">1</span>, <span class="fl">7</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">ini3D</span><span class="op">(</span>argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>xlim <span class="op">=</span> <span class="va">lim</span>, ylim <span class="op">=</span> <span class="va">lim</span>, zlim <span class="op">=</span> <span class="va">lim</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="plotPoints3D.html">plotPoints3D</a></span><span class="op">(</span><span class="va">pts</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl78979-aria" hidden>3D plot</p>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># }</span></span></span>
+<p id="rgl88259-aria" hidden>3D plot</p>
+<div id="rgl88259" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl88259-aria"></div>
+<script type="application/json" 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textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># }</span></span></span>
 </code></pre></div>
     </div>
   </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
diff --git a/reference/loadView.html b/reference/loadView.html
index 204d314..e681b30 100644
--- a/reference/loadView.html
+++ b/reference/loadView.html
@@ -119,15 +119,15 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fl">0.97196090221405</span>, <span class="fl">0.231208890676498</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">1</span><span class="op">)</span>, nc <span class="op">=</span> <span class="fl">4</span><span class="op">)</span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu">loadView</span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span><span class="op">)</span></span></span>
-<p id="rgl31295-aria" hidden>3D plot</p>
-<div id="rgl31295" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl31295-aria"></div>
-<script type="application/json" 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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="va">A</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">3</span>, <span class="fl">2</span>, <span class="fl">5</span>, <span class="fl">2</span>, <span class="fl">1</span>, <span class="fl">1</span>, <span class="fl">1</span>, <span class="fl">1</span>, <span class="fl">3</span>, <span class="fl">5</span>, <span class="fl">2</span>, <span class="fl">4</span><span class="op">)</span>, nc <span class="op">=</span> <span class="fl">3</span>, byrow <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
+<p id="rgl10671-aria" hidden>3D plot</p>
+<div id="rgl10671" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl10671-aria"></div>
+<script type="application/json" 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? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - 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+<p id="rgl50885-aria" hidden>3D plot</p>
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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="co"># Try to modify the angle in the RGL window</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="saveView.html">saveView</a></span><span class="op">(</span>print <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span>  <span class="co"># get the view angle to insert into R code</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> view &lt;- matrix( c(-0.412063330411911, -0.228006735444069, 0.882166087627411, 0, 0.910147845745087, -0.0574885793030262, 0.410274744033813, 0, -0.042830865830183, 0.97196090221405, 0.231208890676498, 0, 0, 0, 0, 1), nc = 4)</span>
diff --git a/reference/plotCones3D.html b/reference/plotCones3D.html
index dc2f466..17ca206 100644
--- a/reference/plotCones3D.html
+++ b/reference/plotCones3D.html
@@ -139,18 +139,18 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fu">plotCones3D</span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">1</span>,<span class="fl">1</span>,<span class="fl">1</span><span class="op">)</span>, rectangle <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">plotCones3D</span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">3</span>,<span class="fl">3</span>,<span class="fl">3</span>,<span class="fl">2</span>,<span class="fl">2</span>,<span class="fl">2</span><span class="op">)</span>, ncol <span class="op">=</span> <span class="fl">3</span>, byrow <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl74186-aria" hidden>3D plot</p>
-<div id="rgl74186" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl74186-aria"></div>
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+<p id="rgl75799-aria" hidden>3D plot</p>
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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 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? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="ini3D.html">ini3D</a></span><span class="op">(</span>argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>xlim <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">0</span>,<span class="fl">6</span><span class="op">)</span>, ylim <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">0</span>,<span class="fl">6</span><span class="op">)</span>, zlim <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">0</span>,<span class="fl">6</span><span class="op">)</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">plotCones3D</span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">4</span>,<span class="fl">4</span>,<span class="fl">4</span><span class="op">)</span>, direction <span class="op">=</span> <span class="fl">1</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">plotCones3D</span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">2</span>,<span class="fl">2</span>,<span class="fl">2</span><span class="op">)</span>, direction <span class="op">=</span> <span class="op">-</span><span class="fl">1</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">plotCones3D</span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">4</span>,<span class="fl">2</span>,<span class="fl">2</span><span class="op">)</span>, direction <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">1</span>,<span class="op">-</span><span class="fl">1</span>,<span class="op">-</span><span class="fl">1</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="va">ids</span> <span class="op">&lt;-</span> <span class="fu">plotCones3D</span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">2</span>,<span class="fl">2</span>,<span class="fl">4</span><span class="op">)</span>, direction <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="op">-</span><span class="fl">1</span>,<span class="op">-</span><span class="fl">1</span>,<span class="fl">1</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl52303-aria" hidden>3D plot</p>
-<div id="rgl52303" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl52303-aria"></div>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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 <span class="r-in"><span><span class="co"># }</span></span></span>
 </code></pre></div>
     </div>
diff --git a/reference/plotCriterion2D.html b/reference/plotCriterion2D.html
index b8407a2..ead03c7 100644
--- a/reference/plotCriterion2D.html
+++ b/reference/plotCriterion2D.html
@@ -287,9 +287,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span>                  <span class="op">-</span><span class="fl">0.320795893669128</span>, <span class="fl">0.333835482597351</span>, <span class="fl">0</span>, <span class="fl">0.0986008867621422</span>, <span class="fl">0.835299551486969</span>,</span></span>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - 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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="va">Ab</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span></span></span>
 <span class="r-in"><span>   <span class="fl">1</span>, <span class="fl">1</span>, <span class="fl">2</span>, <span class="fl">5</span>,</span></span>
 <span class="r-in"><span>   <span class="fl">2</span>, <span class="op">-</span><span class="fl">1</span>, <span class="fl">0</span>, <span class="fl">3</span>,</span></span>
 <span class="r-in"><span>   <span class="op">-</span><span class="fl">1</span>, <span class="fl">2</span>, <span class="fl">1</span>, <span class="fl">3</span>,</span></span>
@@ -327,9 +327,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span>                  <span class="fl">0.701892614364624</span>, <span class="fl">0.706531345844269</span>, <span class="fl">0</span>, <span class="op">-</span><span class="fl">0.196427255868912</span>, <span class="op">-</span><span class="fl">0.682940244674683</span>,</span></span>
 <span class="r-in"><span>                  <span class="fl">0.703568696975708</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">1</span><span class="op">)</span>, nc <span class="op">=</span> <span class="fl">4</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span><span class="op">)</span></span></span>
-<p id="rgl59941-aria" hidden>3D plot</p>
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? 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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+<p id="rgl94630-aria" hidden>3D plot</p>
+<div id="rgl94630" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl94630-aria"></div>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = 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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="va">A</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span></span></span>
 <span class="r-in"><span>   <span class="op">-</span><span class="fl">1</span>, <span class="fl">1</span>, <span class="fl">0</span>,</span></span>
 <span class="r-in"><span>   <span class="fl">1</span>, <span class="fl">4</span>, <span class="fl">0</span>,</span></span>
 <span class="r-in"><span>   <span class="fl">2</span>, <span class="fl">1</span>, <span class="fl">0</span>,</span></span>
@@ -367,9 +367,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span>                  <span class="op">-</span><span class="fl">0.153386667370796</span>, <span class="fl">0.800555109977722</span>, <span class="fl">0</span>, <span class="fl">0.0657325685024261</span>, <span class="fl">0.987727105617523</span>,</span></span>
 <span class="r-in"><span>                  <span class="fl">0.14168381690979</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">1</span><span class="op">)</span>, nc <span class="op">=</span> <span class="fl">4</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span><span class="op">)</span></span></span>
-<p id="rgl43663-aria" hidden>3D plot</p>
-<div id="rgl43663" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl43663-aria"></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="va">A</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span></span></span>
+<p id="rgl33587-aria" hidden>3D plot</p>
+<div id="rgl33587" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl33587-aria"></div>
+<script type="application/json" 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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="va">A</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span></span></span>
 <span class="r-in"><span>   <span class="fl">1</span>, <span class="fl">1</span>, <span class="fl">1</span>,</span></span>
 <span class="r-in"><span>   <span class="fl">3</span>, <span class="fl">0</span>, <span class="fl">1</span></span></span>
 <span class="r-in"><span><span class="op">)</span>, nc <span class="op">=</span> <span class="fl">3</span>, byrow <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
@@ -404,9 +404,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span>                  <span class="op">-</span><span class="fl">0.0574885793030262</span>, <span class="fl">0.410274744033813</span>, <span class="fl">0</span>, <span class="op">-</span><span class="fl">0.042830865830183</span>, <span class="fl">0.97196090221405</span>,</span></span>
 <span class="r-in"><span>                  <span class="fl">0.231208890676498</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">1</span><span class="op">)</span>, nc <span class="op">=</span> <span class="fl">4</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span><span class="op">)</span></span></span>
-<p id="rgl45380-aria" hidden>3D plot</p>
-<div id="rgl45380" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl45380-aria"></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="va">A</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span></span></span>
 <span class="r-in"><span><span class="fl">3</span>, <span class="fl">2</span>, <span class="fl">5</span>,</span></span>
 <span class="r-in"><span><span class="fl">2</span>, <span class="fl">1</span>, <span class="fl">1</span>,</span></span>
 <span class="r-in"><span><span class="fl">1</span>, <span class="fl">1</span>, <span class="fl">3</span>,</span></span>
diff --git a/reference/plotHull3D.html b/reference/plotHull3D.html
index 4970d8c..2757c45 100644
--- a/reference/plotHull3D.html
+++ b/reference/plotHull3D.html
@@ -155,9 +155,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="va">pts</span><span class="op">&lt;-</span><span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">5</span>,<span class="fl">5</span>,<span class="fl">5</span>,<span class="fl">10</span>,<span class="fl">10</span>,<span class="fl">5</span>,<span class="fl">10</span>,<span class="fl">5</span>,<span class="fl">5</span>,<span class="fl">5</span>,<span class="fl">5</span>,<span class="fl">10</span><span class="op">)</span>, ncol <span class="op">=</span> <span class="fl">3</span>, byrow <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="va">lst</span> <span class="op">&lt;-</span> <span class="fu">plotHull3D</span><span class="op">(</span><span class="va">pts</span>, argsPolygon3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>alpha<span class="op">=</span><span class="fl">0.9</span><span class="op">)</span>, argsSegments3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>color<span class="op">=</span><span class="st">"red"</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl53014-aria" hidden>3D plot</p>
-<div id="rgl53014" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl53014-aria"></div>
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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># pop3d(id = lst$ids) # remove last hull</span></span></span>
+<p id="rgl23942-aria" hidden>3D plot</p>
+<div id="rgl23942" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl23942-aria"></div>
+<script type="application/json" 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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># pop3d(id = lst$ids) # remove last hull</span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="co">## Using addRays</span></span></span>
 <span class="r-in"><span><span class="va">pts</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/data.frame.html" class="external-link">data.frame</a></span><span class="op">(</span>x <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">1</span>,<span class="fl">3</span><span class="op">)</span>, y <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">1</span>,<span class="fl">3</span><span class="op">)</span>, z <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">1</span>,<span class="fl">3</span><span class="op">)</span><span class="op">)</span></span></span>
@@ -167,18 +167,18 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fu">plotHull3D</span><span class="op">(</span><span class="va">pts</span>, drawPoints <span class="op">=</span> <span class="cn">TRUE</span>, addRays <span class="op">=</span> <span class="cn">TRUE</span>, , drawBBoxHull <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">plotHull3D</span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">4</span>,<span class="fl">4</span>,<span class="fl">4</span><span class="op">)</span>, drawPoints <span class="op">=</span> <span class="cn">TRUE</span>, addRays <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl70172-aria" hidden>3D plot</p>
-<div id="rgl70172" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl70172-aria"></div>
-<script type="application/json" 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+<p id="rgl25310-aria" hidden>3D plot</p>
+<div id="rgl25310" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl25310-aria"></div>
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(point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="va">pts</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/data.frame.html" class="external-link">data.frame</a></span><span class="op">(</span>x <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">4</span>,<span class="fl">2.5</span>,<span class="fl">1</span><span class="op">)</span>, y <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">1</span>,<span class="fl">2.5</span>,<span class="fl">4</span><span class="op">)</span>, z <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">1</span>,<span class="fl">2.5</span>,<span class="fl">4</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="ini3D.html">ini3D</a></span><span class="op">(</span>argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>xlim <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">0</span>,<span class="fu"><a href="https://rdrr.io/r/base/Extremes.html" class="external-link">max</a></span><span class="op">(</span><span class="va">pts</span><span class="op">$</span><span class="va">x</span><span class="op">)</span><span class="op">+</span><span class="fl">10</span><span class="op">)</span>,</span></span>
 <span class="r-in"><span>  ylim <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">0</span>,<span class="fu"><a href="https://rdrr.io/r/base/Extremes.html" class="external-link">max</a></span><span class="op">(</span><span class="va">pts</span><span class="op">$</span><span class="va">y</span><span class="op">)</span><span class="op">+</span><span class="fl">10</span><span class="op">)</span>,</span></span>
 <span class="r-in"><span>  zlim <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">0</span>,<span class="fu"><a href="https://rdrr.io/r/base/Extremes.html" class="external-link">max</a></span><span class="op">(</span><span class="va">pts</span><span class="op">$</span><span class="va">z</span><span class="op">)</span><span class="op">+</span><span class="fl">10</span><span class="op">)</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">plotHull3D</span><span class="op">(</span><span class="va">pts</span>, drawPoints <span class="op">=</span> <span class="cn">TRUE</span>, addRays <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl52813-aria" hidden>3D plot</p>
-<div id="rgl52813" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl52813-aria"></div>
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+<p id="rgl3268-aria" hidden>3D plot</p>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="va">pts</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span></span></span>
 <span class="r-in"><span>  <span class="fl">0</span>, <span class="fl">4</span>, <span class="fl">8</span>,</span></span>
 <span class="r-in"><span>  <span class="fl">0</span>, <span class="fl">8</span>, <span class="fl">4</span>,</span></span>
@@ -195,9 +195,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fu">plotHull3D</span><span class="op">(</span><span class="va">pts</span>, drawPoints <span class="op">=</span> <span class="cn">TRUE</span>, addText <span class="op">=</span> <span class="st">"coord"</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">plotHull3D</span><span class="op">(</span><span class="va">pts</span>, addRays <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl24687-aria" hidden>3D plot</p>
-<div id="rgl24687" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl24687-aria"></div>
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+<p id="rgl42351-aria" hidden>3D plot</p>
+<div id="rgl42351" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl42351-aria"></div>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="va">pts</span> <span class="op">&lt;-</span> <span class="fu"><a href="genNDSet.html">genNDSet</a></span><span class="op">(</span><span class="fl">3</span>, <span class="fl">100</span>, dubND <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="va">pts</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/as.data.frame.html" class="external-link">as.data.frame</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span>,<span class="fl">1</span><span class="op">:</span><span class="fl">3</span><span class="op">]</span><span class="op">)</span></span></span>
 <span class="r-in"><span></span></span>
@@ -207,18 +207,18 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span>  zlim <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">0</span>,<span class="fu"><a href="https://rdrr.io/r/base/Extremes.html" class="external-link">max</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span>,<span class="fl">3</span><span class="op">]</span><span class="op">)</span><span class="op">+</span><span class="fl">10</span><span class="op">)</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">plotHull3D</span><span class="op">(</span><span class="va">pts</span>, drawPoints <span class="op">=</span> <span class="cn">TRUE</span>, addRays <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl38723-aria" hidden>3D plot</p>
-<div id="rgl38723" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl38723-aria"></div>
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BBAACgQAAAQEIAAPBBAADgQAAAFEIAAPBBByUeAykpBTAeAAAA\nKbpxvzXNL75x1o++KbpxvzXNL75x1o++KbpxvzXNL75x1o++AACAPwAAgD8AAIA/ycjIPQAA\noEAAAChCq6oGQgAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA4EAAABRC\nAADwQQAAQEAAACRCAAAkQgAA4EAAABRCAADwQQAAwH8AAMB/AADAfwAAQEAAACRCAAAkQgAA\nQEAAABRCAAAwQgAAQEAAACRCAAAkQgAAwH8AAMB/AADAfwAA4EAAABRCAADwQQAAQEAAABRC\nAAAwQgAA4EAAABRCAADwQc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAOBAAAAUQgAA8EEAAEBAAAAkQgAAJEIAAOBAAAAUQgAA8EEAAMB/\nAADAfwAAwH8AAEBAAAAkQgAAJEIAAEBAAAAUQgAAMEIAAEBAAAAkQgAAJEIAAMB/AADAfwAA\nwH8AAOBAAAAUQgAA8EEAAEBAAAAUQgAAMEIAAOBAAAAUQgAA8EEHJR4DKSkDJSwAAAD/FXE/\nJKVOPm3DiT7/FXE/JKVOPm3DiT7/FXE/JKVOPm3DiT4AAIA/AACAPwAAgD/JyMg9q6qKQFZV\nGUJWVRlCAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AABgQQAAHEIAAJhB\nAAAAQQAANEIAAMhBAABgQQAAHEIAAJhBAADAfwAAwH8AAMB/AAAAQQAANEIAAMhBAABAQQAA\nPEIAAKBBAAAAQQAANEIAAMhBAADAfwAAwH8AAMB/AABgQQAAHEIAAJhBAABAQQAAPEIAAKBB\nAABgQQAAHEIAAJhBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAYEEAABxCAACYQQAAAEEAADRCAADIQQAAYEEAABxCAACYQQAAwH8AAMB/\nAADAfwAAAEEAADRCAADIQQAAQEEAADxCAACgQQAAAEEAADRCAADIQQAAwH8AAMB/AADAfwAA\nYEEAABxCAACYQQAAQEEAADxCAACgQQAAYEEAABxCAACYQQ4nEwgtGQwvFAAAAIA8Qb9u19y9\nkqElv4A8Qb9u19y9kqElv4A8Qb9u19y9kqElvwAAgD8AAIA/AACAP8nIyD1WVTVBq6ouQquq\nqkEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAGBBAAAcQgAAmEEAAJBB\nAAA0QgAAYEEAAGBBAAAcQgAAmEEAAMB/AADAfwAAwH8AAJBBAAA0QgAAYEEAAEBBAAA8QgAA\noEEAAJBBAAA0QgAAYEEAAMB/AADAfwAAwH8AAGBBAAAcQgAAmEEAAEBBAAA8QgAAoEEAAGBB\nAAAcQgAAmEHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AABgQQAAHEIAAJhBAACQQQAANEIAAGBBAABgQQAAHEIAAJhBAADAfwAAwH8AAMB/\nAACQQQAANEIAAGBBAABAQQAAPEIAAKBBAACQQQAANEIAAGBBAADAfwAAwH8AAMB/AABgQQAA\nHEIAAJhBAABAQQAAPEIAAKBBAABgQQAAHEIAAJhBDicTEi0ODC8UAAAAES44PxIwwD0QLDA/\nES44PxIwwD0QLDA/ES44PxIwwD0QLDA/AACAPwAAgD8AAIA/ycjIPauqakGrqi5CVlWNQQAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAYEEAABxCAACYQQAAkEEAADRC\nAABgQQAAYEEAABxCAACYQQAAwH8AAMB/AADAfwAAkEEAADRCAABgQQAAsEEAACBCAAAwQQAA\nkEEAADRCAABgQQAAwH8AAMB/AADAfwAAYEEAABxCAACYQQAAsEEAACBCAAAwQQAAYEEAABxC\nAACYQc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAGBBAAAcQgAAmEEAAJBBAAA0QgAAYEEAAGBBAAAcQgAAmEEAAMB/AADAfwAAwH8AAJBB\nAAA0QgAAYEEAALBBAAAgQgAAMEEAAJBBAAA0QgAAYEEAAMB/AADAfwAAwH8AAGBBAAAcQgAA\nmEEAALBBAAAgQgAAMEEAAGBBAAAcQgAAmEEOJxMSLQ4WKAsAAADbbjG/DgsEvjOPNb/bbjG/\nDgsEvjOPNb/bbjG/DgsEvjOPNb8AAIA/AACAPwAAgD/JyMg9AACQQVZVJUKrqmpBAADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAAQQAAikIAAMhBAAAAQQAANEIAAMhB\nAAAAQQAAikIAAMhBAADAfwAAwH8AAMB/AAAAQQAANEIAAMhBAACgQAAAQEIAAPBBAAAAQQAA\nNEIAAMhBAADAfwAAwH8AAMB/AACgQAAAQEIAAPBBAACgQAAAikIAAPBBAACgQAAAQEIAAPBB\nzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nAEEAAIpCAADIQQAAAEEAADRCAADIQQAAAEEAAIpCAADIQQAAwH8AAMB/AADAfwAAAEEAADRC\nAADIQQAAoEAAAEBCAADwQQAAAEEAADRCAADIQQAAwH8AAMB/AADAfwAAoEAAAEBCAADwQQAA\noEAAAIpCAADwQQAAoEAAAEBCAADwQQhFGQgtGQUwHgVFHqiEW78AAAAA/7UDv6iEW78AAAAA\n/7UDv6iEW78AAAAA/7UDv6iEW78AAAAA/7UDvwAAgD8AAIA/AACAP8nIyD0AANBAAABnQgAA\n3EEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAEBBAACKQgAAoEEAAEBB\nAAA8QgAAoEEAAEBBAACKQgAAoEEAAMB/AADAfwAAwH8AAEBBAAA8QgAAoEEAAABBAAA0QgAA\nyEEAAEBBAAA8QgAAoEEAAMB/AADAfwAAwH8AAABBAAA0QgAAyEEAAABBAACKQgAAyEEAAABB\nAAA0QgAAyEHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AABAQQAAikIAAKBBAABAQQAAPEIAAKBBAABAQQAAikIAAKBBAADAfwAAwH8AAMB/\nAABAQQAAPEIAAKBBAAAAQQAANEIAAMhBAABAQQAAPEIAAKBBAADAfwAAwH8AAMB/AAAAQQAA\nNEIAAMhBAAAAQQAAikIAAMhBAAAAQQAANEIAAMhBDEUUDC8UCC0ZCEUZBedHvwAAAAAE7B+/\nBedHvwAAAAAE7B+/BedHvwAAAAAE7B+/BedHvwAAAAAE7B+/AACAPwAAgD8AAIA/ycjIPQAA\nIEEAAGZCAAC0QQAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAJEIAAPBB\nAADAQAAACEIAABxCAACgQAAAJEIAAPBBAADAQAAAwH8AAMB/AADAfwAACEIAABxCAACgQAAA\nOEIAACBCAAAAQAAACEIAABxCAACgQAAAwH8AAMB/AADAfwAAJEIAAPBBAADAQAAAOEIAACBC\nAAAAQAAAJEIAAPBBAADAQM3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAwH8AACRCAADwQQAAwEAAAAhCAAAcQgAAoEAAACRCAADwQQAAwEAAAMB/\nAADAfwAAwH8AAAhCAAAcQgAAoEAAADhCAAAgQgAAAEAAAAhCAAAcQgAAoEAAAMB/AADAfwAA\nwH8AACRCAADwQQAAwEAAADhCAAAgQgAAAEAAACRCAADwQQAAwEApHgYiJwUuKAIAAADgdFm+\nUwCKvu50cL/gdFm+UwCKvu50cL/gdFm+UwCKvu50cL8AAIA/AACAPwAAgD/JyMg9VlUhQlZV\nEUKrqopAAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADIQQAANEIAAABB\nAACQQQAANEIAAGBBAADIQQAANEIAAABBAADAfwAAwH8AAMB/AACQQQAANEIAAGBBAACwQQAA\nIEIAADBBAACQQQAANEIAAGBBAADAfwAAwH8AAMB/AADIQQAANEIAAABBAACwQQAAIEIAADBB\nAADIQQAANEIAAABBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAyEEAADRCAAAAQQAAkEEAADRCAABgQQAAyEEAADRCAAAAQQAAwH8AAMB/\nAADAfwAAkEEAADRCAABgQQAAsEEAACBCAAAwQQAAkEEAADRCAABgQQAAwH8AAMB/AADAfwAA\nyEEAADRCAAAAQQAAsEEAACBCAAAwQQAAyEEAADRCAAAAQRktCBItDhYoCwAAADxAJj8wAIU9\nm/VBPzxAJj8wAIU9m/VBPzxAJj8wAIU9m/VBPwAAgD8AAIA/AACAP8nIyD1WVa1BVlUtQgAA\nMEEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMhBAACKQgAAAEEAAMhB\nAAA0QgAAAEEAAMhBAACKQgAAAEEAAMB/AADAfwAAwH8AAMhBAAA0QgAAAEEAAJBBAAA0QgAA\nYEEAAMhBAAA0QgAAAEEAAMB/AADAfwAAwH8AAJBBAAA0QgAAYEEAAJBBAACKQgAAYEEAAJBB\nAAA0QgAAYEHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AADIQQAAikIAAABBAADIQQAANEIAAABBAADIQQAAikIAAABBAADAfwAAwH8AAMB/\nAADIQQAANEIAAABBAACQQQAANEIAAGBBAADIQQAANEIAAABBAADAfwAAwH8AAMB/AACQQQAA\nNEIAAGBBAACQQQAAikIAAGBBAACQQQAANEIAAGBBGUUIGS0IEi0OEkUOQ5omvwAAAACkXkK/\nQ5omvwAAAACkXkK/Q5omvwAAAACkXkK/Q5omvwAAAACkXkK/AACAPwAAgD8AAIA/ycjIPQAA\nrEEAAGRCAAAwQQAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAgEAAAAhC\nAABUQgAAwEAAAOhBAAA8QgAAgEAAAAhCAABUQgAAwH8AAMB/AADAfwAAwEAAAOhBAAA8QgAA\nQEAAABRCAAAwQgAAwEAAAOhBAAA8QgAAwH8AAMB/AADAfwAAgEAAAAhCAABUQgAAQEAAABRC\nAAAwQgAAgEAAAAhCAABUQs3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAIBAAAAIQgAAVEIAAMBAAADoQQAAPEIAAIBAAAAIQgAAVEIAAMB/\nAADAfwAAwH8AAMBAAADoQQAAPEIAAEBAAAAUQgAAMEIAAMBAAADoQQAAPEIAAMB/AADAfwAA\nwH8AAIBAAAAIQgAAVEIAAEBAAAAUQgAAMEIAAIBAAAAIQgAAVEIEIjUGHS8DJSwAAADaM28/\n4z+2Ptn/cjzaM28/4z+2Ptn/cjzaM28/4z+2Ptn/cjwAAIA/AACAPwAAgD/JyMg9q6qKQFZV\nBUIAAEBCAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AABAQAAAFEIAADBC\nAACAQAAACEIAAFRCAABAQAAAFEIAADBCAADAfwAAwH8AAMB/AACAQAAACEIAAFRCAACAQAAA\nCEIAAIhCAACAQAAACEIAAFRCAADAfwAAwH8AAMB/AABAQAAAFEIAADBCAABAQAAAFEIAAIhC\nAABAQAAAFEIAADBCzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAQEAAABRCAAAwQgAAgEAAAAhCAABUQgAAQEAAABRCAAAwQgAAwH8AAMB/\nAADAfwAAgEAAAAhCAABUQgAAgEAAAAhCAACIQgAAgEAAAAhCAABUQgAAwH8AAMB/AADAfwAA\nQEAAABRCAAAwQgAAQEAAABRCAACIQgAAQEAAABRCAAAwQgMlLAQiNQQiRAMlROjccr+a6KG+\nAAAAAOjccr+a6KG+AAAAAOjccr+a6KG+AAAAAOjccr+a6KG+AAAAAAAAgD8AAIA/AACAP8nI\nyD0AAGBAAAAOQgAAaUIAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAIBA\nAAAIQgAAVEIAAMBAAADoQQAAPEIAAIBAAAAIQgAAVEIAAMB/AADAfwAAwH8AAMBAAADoQQAA\nPEIAAMBAAADoQQAAiEIAAMBAAADoQQAAPEIAAMB/AADAfwAAwH8AAIBAAAAIQgAAVEIAAIBA\nAAAIQgAAiEIAAIBAAAAIQgAAVELNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AACAQAAACEIAAFRCAADAQAAA6EEAADxCAACAQAAACEIAAFRC\nAADAfwAAwH8AAMB/AADAQAAA6EEAADxCAADAQAAA6EEAAIhCAADAQAAA6EEAADxCAADAfwAA\nwH8AAMB/AACAQAAACEIAAFRCAACAQAAACEIAAIhCAACAQAAACEIAAFRCBCI1Bh0vBh1EBCJE\nprBtv+smvr4AAAAAprBtv+smvr4AAAAAprBtv+smvr4AAAAAprBtv+smvr4AAAAAAACAPwAA\ngD8AAIA/ycjIPQAAoEAAAPxBAABsQgAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAyEEAABhCAAAgQQAAyEEAAOBBAABgQQAAyEEAABhCAAAgQQAAwH8AAMB/AADAfwAA\nyEEAAOBBAABgQQAAsEEAACBCAAAwQQAAyEEAAOBBAABgQQAAwH8AAMB/AADAfwAAyEEAABhC\nAAAgQQAAsEEAACBCAAAwQQAAyEEAABhCAAAgQc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMhBAAAYQgAAIEEAAMhBAADgQQAAYEEAAMhB\nAAAYQgAAIEEAAMB/AADAfwAAwH8AAMhBAADgQQAAYEEAALBBAAAgQgAAMEEAAMhBAADgQQAA\nYEEAAMB/AADAfwAAwH8AAMhBAAAYQgAAIEEAALBBAAAgQgAAMEEAAMhBAAAYQgAAIEEZJgoZ\nHA4WKAsAAAAPLPm+Xx2mvrekT78PLPm+Xx2mvrekT78PLPm+Xx2mvrekT78AAIA/AACAPwAA\ngD/JyMg9AADAQVZVDUKrqjpBAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADIQQAANEIAAABBAAAIQgAAHEIAAKBAAADIQQAANEIAAABBAADAfwAAwH8AAMB/AAAIQgAA\nHEIAAKBAAADIQQAAGEIAACBBAAAIQgAAHEIAAKBAAADAfwAAwH8AAMB/AADIQQAAGEIAACBB\nAACwQQAAIEIAADBBAADIQQAAGEIAACBBAADAfwAAwH8AAMB/AADIQQAANEIAAABBAACwQQAA\nIEIAADBBAADIQQAANEIAAABBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAyEEAADRCAAAAQQAACEIAABxCAACgQAAAyEEAADRCAAAAQQAA\nwH8AAMB/AADAfwAACEIAABxCAACgQAAAyEEAABhCAAAgQQAACEIAABxCAACgQAAAwH8AAMB/\nAADAfwAAyEEAABhCAAAgQQAAsEEAACBCAAAwQQAAyEEAABhCAAAgQQAAwH8AAMB/AADAfwAA\nyEEAADRCAAAAQQAAsEEAACBCAAAwQQAAyEEAADRCAAAAQRktCCInBRkmChYoC0NP5r4yP3u+\nTNdbv0NP5r4yP3u+TNdbv0NP5r4yP3u+TNdbv0NP5r4yP3u+TNdbvwAAgD8AAIA/AACAP8nI\nyD0AANRBAAAiQgAACEEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AADBB\nAAAcQgAAuEEAAOBAAAAUQgAA8EEAADBBAAAcQgAAuEEAAMB/AADAfwAAwH8AAOBAAAAUQgAA\n8EEAAABBAAA0QgAAyEEAAOBAAAAUQgAA8EEAAMB/AADAfwAAwH8AADBBAAAcQgAAuEEAAABB\nAAA0QgAAyEEAADBBAAAcQgAAuEHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AAAwQQAAHEIAALhBAADgQAAAFEIAAPBBAAAwQQAAHEIAALhB\nAADAfwAAwH8AAMB/AADgQAAAFEIAAPBBAAAAQQAANEIAAMhBAADgQAAAFEIAAPBBAADAfwAA\nwH8AAMB/AAAwQQAAHEIAALhBAAAAQQAANEIAAMhBAAAwQQAAHEIAALhBCycXByUeCC0ZAAAA\ncKlQv+7ga752FQi/cKlQv+7ga752FQi/cKlQv+7ga752FQi/AACAPwAAgD8AAIA/ycjIPauq\nCkFWVSFCAADQQQAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAMEEAABxC\nAAC4QQAAYEEAABxCAACYQQAAMEEAABxCAAC4QQAAwH8AAMB/AADAfwAAYEEAABxCAACYQQAA\nAEEAADRCAADIQQAAYEEAABxCAACYQQAAwH8AAMB/AADAfwAAMEEAABxCAAC4QQAAAEEAADRC\nAADIQQAAMEEAABxCAAC4Qc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAwH8AADBBAAAcQgAAuEEAAGBBAAAcQgAAmEEAADBBAAAcQgAAuEEAAMB/\nAADAfwAAwH8AAGBBAAAcQgAAmEEAAABBAAA0QgAAyEEAAGBBAAAcQgAAmEEAAMB/AADAfwAA\nwH8AADBBAAAcQgAAuEEAAABBAAA0QgAAyEEAADBBAAAcQgAAuEELJxcOJxMILRkAAACs0kg/\nrNJIPgGeFj+s0kg/rNJIPgGeFj+s0kg/rNJIPgGeFj8AAIA/AACAPwAAgD/JyMg9AAAwQQAA\nJEKrqrJBAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACoQQAAFEIAAFBB\nAADIQQAA4EEAAGBBAACoQQAAFEIAAFBBAADAfwAAwH8AAMB/AADIQQAA4EEAAGBBAACwQQAA\nIEIAADBBAADIQQAA4EEAAGBBAADAfwAAwH8AAMB/AACoQQAAFEIAAFBBAACwQQAAIEIAADBB\nAACoQQAAFEIAAFBBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAqEEAABRCAABQQQAAyEEAAOBBAABgQQAAqEEAABRCAABQQQAAwH8AAMB/\nAADAfwAAyEEAAOBBAABgQQAAsEEAACBCAAAwQQAAyEEAAOBBAABgQQAAwH8AAMB/AADAfwAA\nqEEAABRCAABQQQAAsEEAACBCAAAwQQAAqEEAABRCAABQQRUlDRkcDhYoCwAAAI5/DD8Qmag+\nk7JEP45/DD8Qmag+k7JEP45/DD8Qmag+k7JEPwAAgD8AAIA/AACAP8nIyD1WVbVBAAAMQquq\nSkEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAKhBAAAUQgAAUEEAAGBB\nAAAcQgAAmEEAAKhBAAAUQgAAUEEAAMB/AADAfwAAwH8AAGBBAAAcQgAAmEEAALBBAAAgQgAA\nMEEAAGBBAAAcQgAAmEEAAMB/AADAfwAAwH8AAKhBAAAUQgAAUEEAALBBAAAgQgAAMEEAAKhB\nAAAUQgAAUEHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AACoQQAAFEIAAFBBAABgQQAAHEIAAJhBAACoQQAAFEIAAFBBAADAfwAAwH8AAMB/\nAABgQQAAHEIAAJhBAACwQQAAIEIAADBBAABgQQAAHEIAAJhBAADAfwAAwH8AAMB/AACoQQAA\nFEIAAFBBAACwQQAAIEIAADBBAACoQQAAFEIAAFBBFSUNDicTFigLAAAAZZ0rvx+feb5eajO/\nZZ0rvx+feb5eajO/ZZ0rvx+feb5eajO/AACAPwAAgD8AAIA/ycjIPQAAmEGrqhpCVlVlQQAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAAEIAAPhBAAAQQQAAJEIAAPBB\nAADAQAAAAEIAAPhBAAAQQQAAwH8AAMB/AADAfwAAJEIAAPBBAADAQAAACEIAABxCAACgQAAA\nJEIAAPBBAADAQAAAwH8AAMB/AADAfwAAAEIAAPhBAAAQQQAACEIAABxCAACgQAAAAEIAAPhB\nAAAQQc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAABCAAD4QQAAEEEAACRCAADwQQAAwEAAAABCAAD4QQAAEEEAAMB/AADAfwAAwH8AACRC\nAADwQQAAwEAAAAhCAAAcQgAAoEAAACRCAADwQQAAwEAAAMB/AADAfwAAwH8AAABCAAD4QQAA\nEEEAAAhCAAAcQgAAoEAAAABCAAD4QQAAEEEgHwkpHgYiJwUAAAAzbKk+Noa1PkPhXz8zbKk+\nNoa1PkPhXz8zbKk+Noa1PkPhXz8AAIA/AACAPwAAgD/JyMg9q6oOQlZVBUJWVdVAAADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAAQgAA+EEAABBBAADIQQAAGEIAACBB\nAAAAQgAA+EEAABBBAADAfwAAwH8AAMB/AADIQQAAGEIAACBBAAAIQgAAHEIAAKBAAADIQQAA\nGEIAACBBAADAfwAAwH8AAMB/AAAAQgAA+EEAABBBAAAIQgAAHEIAAKBAAAAAQgAA+EEAABBB\nzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nAEIAAPhBAAAQQQAAyEEAABhCAAAgQQAAAEIAAPhBAAAQQQAAwH8AAMB/AADAfwAAyEEAABhC\nAAAgQQAACEIAABxCAACgQAAAyEEAABhCAAAgQQAAwH8AAMB/AADAfwAAAEIAAPhBAAAQQQAA\nCEIAABxCAACgQAAAAEIAAPhBAAAQQSAfCRkmCiInBQAAAMhY3r50laC+pitYv8hY3r50laC+\npitYv8hY3r50laC+pitYvwAAgD8AAIA/AACAP8nIyD2rqvJBAAAQQgAAAEEAAMB/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAABCAAD4QQAAEEEAAMhBAAAYQgAAIEEAAABC\nAAD4QQAAEEEAAMB/AADAfwAAwH8AAMhBAAAYQgAAIEEAAMhBAADgQQAAYEEAAMhBAAAYQgAA\nIEEAAMB/AADAfwAAwH8AAABCAAD4QQAAEEEAAMhBAADgQQAAYEEAAABCAAD4QQAAEEHNzMw+\nzczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAAQgAA\n+EEAABBBAADIQQAAGEIAACBBAAAAQgAA+EEAABBBAADAfwAAwH8AAMB/AADIQQAAGEIAACBB\nAADIQQAA4EEAAGBBAADIQQAAGEIAACBBAADAfwAAwH8AAMB/AAAAQgAA+EEAABBBAADIQQAA\n4EEAAGBBAAAAQgAA+EEAABBBIB8JGSYKGRwOAAAAQHLmPnLNqT7PQFQ/QHLmPnLNqT7PQFQ/\nQHLmPnLNqT7PQFQ/AACAPwAAgD8AAIA/ycjIPauq2kFWVQFCAAAwQQAAwH8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAASEIAAMhBAAAAQQAAJEIAAPBBAADAQAAASEIAAMhB\nAAAAQQAAwH8AAMB/AADAfwAAJEIAAPBBAADAQAAANEIAAJBBAABQQQAAJEIAAPBBAADAQAAA\nwH8AAMB/AADAfwAASEIAAMhBAAAAQQAANEIAAJBBAABQQQAASEIAAMhBAAAAQc3MzD7NzMw+\nzczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAEhCAADIQQAA\nAEEAACRCAADwQQAAwEAAAEhCAADIQQAAAEEAAMB/AADAfwAAwH8AACRCAADwQQAAwEAAADRC\nAACQQQAAUEEAACRCAADwQQAAwEAAAMB/AADAfwAAwH8AAEhCAADIQQAAAEEAADRCAACQQQAA\nUEEAAEhCAADIQQAAAEEyGQgpHgYtEg0AAADO4Nc9gewGP87gVz/O4Nc9gewGP87gVz/O4Nc9\ngewGP87gVz8AAIA/AACAPwAAgD/JyMg9VlU1QquqwkEAABBBAADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AAA4QgAAREIAAIA/AAAIQgAAHEIAAKBAAAA4QgAAREIAAIA/\nAADAfwAAwH8AAMB/AAAIQgAAHEIAAKBAAAA4QgAAIEIAAABAAAAIQgAAHEIAAKBAAADAfwAA\nwH8AAMB/AAA4QgAAREIAAIA/AAA4QgAAIEIAAABAAAA4QgAAREIAAIA/zczMPs3MzD7NzMw+\nAACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAOEIAAERCAACAPwAA\nCEIAABxCAACgQAAAOEIAAERCAACAPwAAwH8AAMB/AADAfwAACEIAABxCAACgQAAAOEIAACBC\nAAAAQAAACEIAABxCAACgQAAAwH8AAMB/AADAfwAAOEIAAERCAACAPwAAOEIAACBCAAAAQAAA\nOEIAAERCAACAPy4xASInBS4oAgAAAOtIbj6K9Ns9HHN3P+tIbj6K9Ns9HHN3P+tIbj6K9Ns9\nHHN3PwAAgD8AAIA/AACAP8nIyD0AAChCq6oqQquqKkAAAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAwH8AADhCAABEQgAAgD8AABBCAABgQgAAQEAAADhCAABEQgAAgD8AAMB/\nAADAfwAAwH8AABBCAABgQgAAQEAAAAhCAAAcQgAAoEAAABBCAABgQgAAQEAAAMB/AADAfwAA\nwH8AADhCAABEQgAAgD8AAAhCAAAcQgAAoEAAADhCAABEQgAAgD/NzMw+zczMPs3MzD4AAIA/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAA4QgAAREIAAIA/AAAQQgAA\nYEIAAEBAAAA4QgAAREIAAIA/AADAfwAAwH8AAMB/AAAQQgAAYEIAAEBAAAAIQgAAHEIAAKBA\nAAAQQgAAYEIAAEBAAADAfwAAwH8AAMB/AAA4QgAAREIAAIA/AAAIQgAAHEIAAKBAAAA4QgAA\nREIAAIA/LjEBJDgDIicFAAAA8ciAPpe2qz151nY/8ciAPpe2qz151nY/8ciAPpe2qz151nY/\nAACAPwAAgD8AAIA/ycjIPauqGkIAAEBCAABAQAAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAOEIAAIpCAACAPwAAOEIAAERCAACAPwAAOEIAAIpCAACAPwAAwH8AAMB/\nAADAfwAAOEIAAERCAACAPwAAEEIAAGBCAABAQAAAOEIAAERCAACAPwAAwH8AAMB/AADAfwAA\nEEIAAGBCAABAQAAAEEIAAIpCAABAQAAAEEIAAGBCAABAQM3MzD7NzMw+zczMPgAAgD8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AADhCAACKQgAAgD8AADhCAABEQgAA\ngD8AADhCAACKQgAAgD8AAMB/AADAfwAAwH8AADhCAABEQgAAgD8AABBCAABgQgAAQEAAADhC\nAABEQgAAgD8AAMB/AADAfwAAwH8AABBCAABgQgAAQEAAABBCAACKQgAAQEAAABBCAABgQgAA\nQEAuRQEuMQEkOAMkRQOr0ki+AAAAAFYHe7+r0ki+AAAAAFYHe7+r0ki+AAAAAFYHe7+r0ki+\nAAAAAFYHe78AAIA/AACAPwAAgD/JyMg9AAAkQgAAc0IAAABAAADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AACKQgAAyEEAAABBAABIQgAAyEEAAABBAACKQgAAyEEAAABB\nAADAfwAAwH8AAMB/AABIQgAAyEEAAABBAAA0QgAAkEEAAFBBAABIQgAAyEEAAABBAADAfwAA\nwH8AAMB/AAA0QgAAkEEAAFBBAACKQgAAkEEAAFBBAAA0QgAAkEEAAFBBzczMPs3MzD7NzMw+\nAACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAikIAAMhBAAAAQQAA\nSEIAAMhBAAAAQQAAikIAAMhBAAAAQQAAwH8AAMB/AADAfwAASEIAAMhBAAAAQQAANEIAAJBB\nAABQQQAASEIAAMhBAAAAQQAAwH8AAMB/AADAfwAANEIAAJBBAABQQQAAikIAAJBBAABQQQAA\nNEIAAJBBAABQQUUZCDIZCC0SDUUSDQAAAIAHzBQ/1lBQPwAAAIAHzBQ/1lBQPwAAAIAHzBQ/\n1lBQPwAAAIAHzBQ/1lBQPwAAgD8AAIA/AACAP8nIyD0AAGlCAACsQQAAKEEAAMB/AADAfwAA\nwH8AAMB/AADAfwAAwH/NzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAUVEAUUwCEUZCEUZJEUDAUVECEUZGUUIJEUDJEUDRUVEAUVEJEUDRUUBRUVEAUUwBUUeCEUZ\nCEUZDEUUGUUIJEUDLkUBRUUBDEUUEkUOGUUIGUUIHUUGJEUDAP8AAP8AAP8AAP8AAP8AAP8A\nAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8A\nAP8AAP8AAP8AAP8AAP8AAP8AAACAPwAAgD8AAIA/ycjIPVZVVUAAAIpCAAA8QgAAcEEAAIpC\nAAAAQgAAuEEAAIpCAABAQVZVDUIAAIpCVlU5QgAAaEIAAIpCAADAQVZVlUAAAIpCVlUJQgAA\ncEEAAIpCVlWNQVZVSUIAAIpCVlXVP6uqkkEAAIpCAABgQQAA8EEAAIpCVlW1QAAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAWEIAAABAAAAoQgAATEIAAIA/AABIQgAA\nWEIAAABAAAAoQgAAwH8AAMB/AADAfwAATEIAAIA/AABIQgAAIEIAAABAAAA0QgAATEIAAIA/\nAABIQgAAwH8AAMB/AADAfwAAWEIAAABAAAAoQgAAIEIAAABAAAA0QgAAWEIAAABAAAAoQs3M\nzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAFhC\nAAAAQAAAKEIAAExCAACAPwAASEIAAFhCAAAAQAAAKEIAAMB/AADAfwAAwH8AAExCAACAPwAA\nSEIAACBCAAAAQAAANEIAAExCAACAPwAASEIAAMB/AADAfwAAwH8AAFhCAAAAQAAAKEIAACBC\nAAAAQAAANEIAAFhCAAAAQAAAKEI2AiozATIoAi0AAABcVOy82Y99v+HbCb5cVOy82Y99v+Hb\nCb5cVOy82Y99v+HbCb4AAIA/AACAPwAAgD/JyMg9VlVBQlZV1T+rqjZCAADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AABYQgAAAEAAAChCAABAQgAAoEAAAPhBAABYQgAA\nAEAAAChCAADAfwAAwH8AAMB/AABAQgAAoEAAAPhBAAAgQgAAAEAAADRCAABAQgAAoEAAAPhB\nAADAfwAAwH8AAMB/AABYQgAAAEAAAChCAAAgQgAAAEAAADRCAABYQgAAAEAAAChCzczMPs3M\nzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAWEIAAABA\nAAAoQgAAQEIAAKBAAAD4QQAAWEIAAABAAAAoQgAAwH8AAMB/AADAfwAAQEIAAKBAAAD4QQAA\nIEIAAABAAAA0QgAAQEIAAKBAAAD4QQAAwH8AAMB/AADAfwAAWEIAAABAAAAoQgAAIEIAAABA\nAAA0QgAAWEIAAABAAAAoQjYCKjAFHygCLQAAAInwTz1OX3g/oJhyPonwTz1OX3g/oJhyPonw\nTz1OX3g/oJhyPgAAgD8AAIA/AACAP8nIyD1WVT1CAABAQFZVHUIAAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAIpCAAAAQAAAKEIAAFhCAAAAQAAAKEIAAIpCAAAAQAAA\nKEIAAMB/AADAfwAAwH8AAFhCAAAAQAAAKEIAAExCAACAPwAASEIAAFhCAAAAQAAAKEIAAMB/\nAADAfwAAwH8AAExCAACAPwAASEIAAIpCAACAPwAASEIAAExCAACAPwAASELNzMw+zczMPs3M\nzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACKQgAAAEAAAChC\nAABYQgAAAEAAAChCAACKQgAAAEAAAChCAADAfwAAwH8AAMB/AABYQgAAAEAAAChCAABMQgAA\ngD8AAEhCAABYQgAAAEAAAChCAADAfwAAwH8AAMB/AABMQgAAgD8AAEhCAACKQgAAgD8AAEhC\nAABMQgAAgD8AAEhCRQIqNgIqMwEyRQEyAAAAgOwFfj/sBf49AAAAgOwFfj/sBf49AAAAgOwF\nfj/sBf49AAAAgOwFfj/sBf49AACAPwAAgD8AAIA/ycjIPQAAc0IAAMA/AAA4QgAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA8EEAAKBAAAA4QgAAIEIAAABAAAA0QgAA\n8EEAAKBAAAA4QgAAwH8AAMB/AADAfwAAIEIAAABAAAA0QgAAIEIAAABAAACIQgAAIEIAAABA\nAAA0QgAAwH8AAMB/AADAfwAA8EEAAKBAAAA4QgAA8EEAAKBAAACIQgAA8EEAAKBAAAA4Qs3M\nzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAPBB\nAACgQAAAOEIAACBCAAAAQAAANEIAAPBBAACgQAAAOEIAAMB/AADAfwAAwH8AACBCAAAAQAAA\nNEIAACBCAAAAQAAAiEIAACBCAAAAQAAANEIAAMB/AADAfwAAwH8AAPBBAACgQAAAOEIAAPBB\nAACgQAAAiEIAAPBBAACgQAAAOEIeBS4oAi0oAkQeBURDH5O+GjR1vwAAAABDH5O+GjR1vwAA\nAABDH5O+GjR1vwAAAABDH5O+GjR1vwAAAAAAAIA/AACAPwAAgD/JyMg9AAAMQgAAYEAAAGNC\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACKQgAAoEAAAPhBAABAQgAA\noEAAAPhBAACKQgAAoEAAAPhBAADAfwAAwH8AAMB/AABAQgAAoEAAAPhBAABYQgAAAEAAAChC\nAABAQgAAoEAAAPhBAADAfwAAwH8AAMB/AABYQgAAAEAAAChCAACKQgAAAEAAAChCAABYQgAA\nAEAAAChCzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAikIAAKBAAAD4QQAAQEIAAKBAAAD4QQAAikIAAKBAAAD4QQAAwH8AAMB/AADAfwAA\nQEIAAKBAAAD4QQAAWEIAAABAAAAoQgAAQEIAAKBAAAD4QQAAwH8AAMB/AADAfwAAWEIAAABA\nAAAoQgAAikIAAABAAAAoQgAAWEIAAABAAAAoQkUFHzAFHzYCKkUCKgAAAIDD+nY/U7eGPgAA\nAIDD+nY/U7eGPgAAAIDD+nY/U7eGPgAAAIDD+nY/U7eGPgAAgD8AAIA/AACAP8nIyD0AAHBC\nAABgQAAAEkIAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AACBCAADgQAAA\n6EEAADRCAABAQQAAmEEAACBCAADgQAAA6EEAAMB/AADAfwAAwH8AADRCAABAQQAAmEEAAEBC\nAACgQAAA+EEAADRCAABAQQAAmEEAAMB/AADAfwAAwH8AACBCAADgQAAA6EEAAEBCAACgQAAA\n+EEAACBCAADgQAAA6EHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AAAgQgAA4EAAAOhBAAA0QgAAQEEAAJhBAAAgQgAA4EAAAOhBAADAfwAA\nwH8AAMB/AAA0QgAAQEEAAJhBAABAQgAAoEAAAPhBAAA0QgAAQEEAAJhBAADAfwAAwH8AAMB/\nAAAgQgAA4EAAAOhBAABAQgAAoEAAAPhBAAAgQgAA4EAAAOhBKAcdLQwTMAUfAAAA1vzFvXC8\nXr8LfPe+1vzFvXC8Xr8LfPe+1vzFvXC8Xr8LfPe+AACAPwAAgD8AAIA/ycjIPVZVMUIAAABB\nq6rSQQAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwEAAAOhBAAA8QgAA\nIEEAALhBAAA4QgAAwEAAAOhBAAA8QgAAwH8AAMB/AADAfwAAIEEAALhBAAA4QgAAIEEAALhB\nAACIQgAAIEEAALhBAAA4QgAAwH8AAMB/AADAfwAAwEAAAOhBAAA8QgAAwEAAAOhBAACIQgAA\nwEAAAOhBAAA8Qs3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMBAAADoQQAAPEIAACBBAAC4QQAAOEIAAMBAAADoQQAAPEIAAMB/AADAfwAA\nwH8AACBBAAC4QQAAOEIAACBBAAC4QQAAiEIAACBBAAC4QQAAOEIAAMB/AADAfwAAwH8AAMBA\nAADoQQAAPEIAAMBAAADoQQAAiEIAAMBAAADoQQAAPEIGHS8KFy4KF0QGHURAAVW/1QAOvwAA\nAABAAVW/1QAOvwAAAABAAVW/1QAOvwAAAABAAVW/1QAOvwAAAAAAAIA/AACAPwAAgD/JyMg9\nAAAAQQAA0EEAAGVCAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACAQQAA\ncEEAAFhCAAAgQQAAuEEAADhCAACAQQAAcEEAAFhCAADAfwAAwH8AAMB/AAAgQQAAuEEAADhC\nAACQQQAAcEEAABRCAAAgQQAAuEEAADhCAADAfwAAwH8AAMB/AACAQQAAcEEAAFhCAACQQQAA\ncEEAABRCAACAQQAAcEEAAFhCzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAgEEAAHBBAABYQgAAIEEAALhBAAA4QgAAgEEAAHBBAABYQgAA\nwH8AAMB/AADAfwAAIEEAALhBAAA4QgAAkEEAAHBBAAAUQgAAIEEAALhBAAA4QgAAwH8AAMB/\nAADAfwAAgEEAAHBBAABYQgAAkEEAAHBBAAAUQgAAgEEAAHBBAABYQhAPNgoXLhIPJQAAAIaa\nQL+pHCe/JEa1vYaaQL+pHCe/JEa1vYaaQL+pHCe/JEa1vQAAgD8AAIA/AACAP8nIyD2rqmpB\nVlWNQauqNkIAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AACBBAAC4QQAA\nOEIAAIBBAABwQQAAWEIAACBBAAC4QQAAOEIAAMB/AADAfwAAwH8AAIBBAABwQQAAWEIAAIBB\nAABwQQAAiEIAAIBBAABwQQAAWEIAAMB/AADAfwAAwH8AACBBAAC4QQAAOEIAACBBAAC4QQAA\niEIAACBBAAC4QQAAOELNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AAAgQQAAuEEAADhCAACAQQAAcEEAAFhCAAAgQQAAuEEAADhCAADAfwAA\nwH8AAMB/AACAQQAAcEEAAFhCAACAQQAAcEEAAIhCAACAQQAAcEEAAFhCAADAfwAAwH8AAMB/\nAAAgQQAAuEEAADhCAAAgQQAAuEEAAIhCAAAgQQAAuEEAADhCChcuEA82EA9EChdEzcxMv5qZ\nGb8AAAAAzcxMv5qZGb8AAAAAzcxMv5qZGb8AAAAAzcxMv5qZGb8AAAAAAACAPwAAgD8AAIA/\nycjIPQ0TOwAAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAFBBAACwQQAA\nDEIAACBBAADIQQAAFEIAAFBBAACwQQAADEIAAMB/AADAfwAAwH8AACBBAADIQQAAFEIAAJBB\nAABwQQAAFEIAACBBAADIQQAAFEIAAMB/AADAfwAAwH8AAFBBAACwQQAADEIAAJBBAABwQQAA\nFEIAAFBBAACwQQAADELNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AABQQQAAsEEAAAxCAAAgQQAAyEEAABRCAABQQQAAsEEAAAxCAADAfwAA\nwH8AAMB/AAAgQQAAyEEAABRCAACQQQAAcEEAABRCAAAgQQAAyEEAABRCAADAfwAAwH8AAMB/\nAABQQQAAsEEAAAxCAACQQQAAcEEAABRCAABQQQAAsEEAAAxCDRYjChklEg8lAAAAGaJCP+G0\nGz9Sj2k+GaJCP+G0Gz9Sj2k+GaJCP+G0Gz9Sj2k+AACAPwAAgD8AAIA/ycjIPauqWkFWVaVB\nVlURQgAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAUEEAALBBAAAMQgAA\nIEEAAMhBAAAUQgAAUEEAALBBAAAMQgAAwH8AAMB/AADAfwAAIEEAAMhBAAAUQgAAQEEAANBB\nAAD4QQAAIEEAAMhBAAAUQgAAwH8AAMB/AADAfwAAUEEAALBBAAAMQgAAQEEAANBBAAD4QQAA\nUEEAALBBAAAMQs3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAFBBAACwQQAADEIAACBBAADIQQAAFEIAAFBBAACwQQAADEIAAMB/AADAfwAA\nwH8AACBBAADIQQAAFEIAAEBBAADQQQAA+EEAACBBAADIQQAAFEIAAMB/AADAfwAAwH8AAFBB\nAACwQQAADEIAAEBBAADQQQAA+EEAAFBBAACwQQAADEINFiMKGSUMGh8AAAAPx0S/ir4Jv44Z\nsb4Px0S/ir4Jv44Zsb4Px0S/ir4Jv44Zsb4AAIA/AACAPwAAgD/JyMg9q6o6QauqwkFWVQlC\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAAQQAA2EEAABxCAADgQAAA\nFEIAAPBBAAAAQQAA2EEAABxCAADAfwAAwH8AAMB/AADgQAAAFEIAAPBBAABAQQAA0EEAAPhB\nAADgQAAAFEIAAPBBAADAfwAAwH8AAMB/AAAAQQAA2EEAABxCAABAQQAA0EEAAPhBAAAAQQAA\n2EEAABxCzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAAEEAANhBAAAcQgAA4EAAABRCAADwQQAAAEEAANhBAAAcQgAAwH8AAMB/AADAfwAA\n4EAAABRCAADwQQAAQEEAANBBAAD4QQAA4EAAABRCAADwQQAAwH8AAMB/AADAfwAAAEEAANhB\nAAAcQgAAQEEAANBBAAD4QQAAAEEAANhBAAAcQggbJwclHgwaHwAAABCZVb+sMtO+uzK7vhCZ\nVb+sMtO+uzK7vhCZVb+sMtO+uzK7vgAAgD8AAIA/AACAP8nIyD0AABBBAADwQVZVBUIAAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAABBAADYQQAAHEIAACBBAADIQQAA\nFEIAAABBAADYQQAAHEIAAMB/AADAfwAAwH8AACBBAADIQQAAFEIAAEBBAADQQQAA+EEAACBB\nAADIQQAAFEIAAMB/AADAfwAAwH8AAABBAADYQQAAHEIAAEBBAADQQQAA+EEAAABBAADYQQAA\nHELNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAAAAQQAA2EEAABxCAAAgQQAAyEEAABRCAAAAQQAA2EEAABxCAADAfwAAwH8AAMB/AAAgQQAA\nyEEAABRCAABAQQAA0EEAAPhBAAAgQQAAyEEAABRCAADAfwAAwH8AAMB/AAAAQQAA2EEAABxC\nAABAQQAA0EEAAPhBAAAAQQAA2EEAABxCCBsnChklDBofAAAA1lBQPz4T7j5ujrI+1lBQPz4T\n7j5ujrI+1lBQPz4T7j5ujrI+AACAPwAAgD8AAIA/ycjIPQAAIEEAANBBq6oOQgAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAAEEAANhBAAAcQgAA4EAAABRCAADwQQAA\nAEEAANhBAAAcQgAAwH8AAMB/AADAfwAA4EAAABRCAADwQQAAQEAAABRCAAAwQgAA4EAAABRC\nAADwQQAAwH8AAMB/AADAfwAAAEEAANhBAAAcQgAAQEAAABRCAAAwQgAAAEEAANhBAAAcQs3M\nzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAABB\nAADYQQAAHEIAAOBAAAAUQgAA8EEAAABBAADYQQAAHEIAAMB/AADAfwAAwH8AAOBAAAAUQgAA\n8EEAAEBAAAAUQgAAMEIAAOBAAAAUQgAA8EEAAMB/AADAfwAAwH8AAABBAADYQQAAHEIAAEBA\nAAAUQgAAMEIAAABBAADYQQAAHEIIGycHJR4DJSwAAABKzmg/NUqmPioIhT5Kzmg/NUqmPioI\nhT5Kzmg/NUqmPioIhT4AAIA/AACAPwAAgD/JyMg9AADAQKuqBkKrqhZCAADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAAQQAA2EEAABxCAADAQAAA6EEAADxCAAAAQQAA\n2EEAABxCAADAfwAAwH8AAMB/AADAQAAA6EEAADxCAABAQAAAFEIAADBCAADAQAAA6EEAADxC\nAADAfwAAwH8AAMB/AAAAQQAA2EEAABxCAABAQAAAFEIAADBCAAAAQQAA2EEAABxCzczMPs3M\nzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAAEEAANhB\nAAAcQgAAwEAAAOhBAAA8QgAAAEEAANhBAAAcQgAAwH8AAMB/AADAfwAAwEAAAOhBAAA8QgAA\nQEAAABRCAAAwQgAAwEAAAOhBAAA8QgAAwH8AAMB/AADAfwAAAEEAANhBAAAcQgAAQEAAABRC\nAAAwQgAAAEEAANhBAAAcQggbJwYdLwMlLAAAAGxMab9d+Me+PlAFvmxMab9d+Me+PlAFvmxM\nab9d+Me+PlAFvgAAgD8AAIA/AACAP8nIyD1WVbVAAAD4QVZVLUIAAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAABBAADYQQAAHEIAAMBAAADoQQAAPEIAAABBAADYQQAA\nHEIAAMB/AADAfwAAwH8AAMBAAADoQQAAPEIAACBBAAC4QQAAOEIAAMBAAADoQQAAPEIAAMB/\nAADAfwAAwH8AAABBAADYQQAAHEIAACBBAAC4QQAAOEIAAABBAADYQQAAHELNzMw+zczMPs3M\nzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAAQQAA2EEAABxC\nAADAQAAA6EEAADxCAAAAQQAA2EEAABxCAADAfwAAwH8AAMB/AADAQAAA6EEAADxCAAAgQQAA\nuEEAADhCAADAQAAA6EEAADxCAADAfwAAwH8AAMB/AAAAQQAA2EEAABxCAAAgQQAAuEEAADhC\nAAAAQQAA2EEAABxCCBsnBh0vChcuAAAAn9xVP595Cz//xZQ9n9xVP595Cz//xZQ9n9xVP595\nCz//xZQ9AACAPwAAgD8AAIA/ycjIPQAAAEGrqtJBAAAwQgAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAAEEAANhBAAAcQgAAIEEAALhBAAA4QgAAAEEAANhBAAAcQgAA\nwH8AAMB/AADAfwAAIEEAALhBAAA4QgAAkEEAAHBBAAAUQgAAIEEAALhBAAA4QgAAwH8AAMB/\nAADAfwAAAEEAANhBAAAcQgAAkEEAAHBBAAAUQgAAAEEAANhBAAAcQs3MzD7NzMw+zczMPgAA\ngD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAABBAADYQQAAHEIAACBB\nAAC4QQAAOEIAAABBAADYQQAAHEIAAMB/AADAfwAAwH8AACBBAAC4QQAAOEIAAJBBAABwQQAA\nFEIAACBBAAC4QQAAOEIAAMB/AADAfwAAwH8AAABBAADYQQAAHEIAAJBBAABwQQAAFEIAAABB\nAADYQQAAHEIIGycKFy4SDyUAAAD+q0U/Nv8eP8eCCT7+q0U/Nv8eP8eCCT7+q0U/Nv8eP8eC\nCT4AAIA/AACAPwAAgD/JyMg9AABAQVZVrUGrqiJCAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AAAAQQAA2EEAABxCAAAgQQAAyEEAABRCAAAAQQAA2EEAABxCAADAfwAA\nwH8AAMB/AAAgQQAAyEEAABRCAACQQQAAcEEAABRCAAAgQQAAyEEAABRCAADAfwAAwH8AAMB/\nAAAAQQAA2EEAABxCAACQQQAAcEEAABRCAAAAQQAA2EEAABxCzczMPs3MzD7NzMw+AACAPwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAAEEAANhBAAAcQgAAIEEAAMhB\nAAAUQgAAAEEAANhBAAAcQgAAwH8AAMB/AADAfwAAIEEAAMhBAAAUQgAAkEEAAHBBAAAUQgAA\nIEEAAMhBAAAUQgAAwH8AAMB/AADAfwAAAEEAANhBAAAcQgAAkEEAAHBBAAAUQgAAAEEAANhB\nAAAcQggbJwoZJRIPJQAAACCCRb+zAR6/swEeviCCRb+zAR6/swEeviCCRb+zAR6/swEevgAA\ngD8AAIA/AACAP8nIyD0AAEBBq6qyQauqFkIAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAIBBAAD4QQAAqEEAAKhBAAAUQgAAUEEAAIBBAAD4QQAAqEEAAMB/AADAfwAA\nwH8AAKhBAAAUQgAAUEEAAMhBAADgQQAAYEEAAKhBAAAUQgAAUEEAAMB/AADAfwAAwH8AAIBB\nAAD4QQAAqEEAAMhBAADgQQAAYEEAAIBBAAD4QQAAqEHNzMw+zczMPs3MzD4AAIA/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACAQQAA+EEAAKhBAACoQQAAFEIAAFBB\nAACAQQAA+EEAAKhBAADAfwAAwH8AAMB/AACoQQAAFEIAAFBBAADIQQAA4EEAAGBBAACoQQAA\nFEIAAFBBAADAfwAAwH8AAMB/AACAQQAA+EEAAKhBAADIQQAA4EEAAGBBAACAQQAA+EEAAKhB\nEB8VFSUNGRwOAAAAhP8kv3X/uL5/fyy/hP8kv3X/uL5/fyy/hP8kv3X/uL5/fyy/AACAPwAA\ngD8AAIA/ycjIPVZVpUEAAABCAACAQQAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAgEEAAPhBAACoQQAAqEEAABRCAABQQQAAgEEAAPhBAACoQQAAwH8AAMB/AADAfwAA\nqEEAABRCAABQQQAAYEEAABxCAACYQQAAqEEAABRCAABQQQAAwH8AAMB/AADAfwAAgEEAAPhB\nAACoQQAAYEEAABxCAACYQQAAgEEAAPhBAACoQc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAIBBAAD4QQAAqEEAAKhBAAAUQgAAUEEAAIBB\nAAD4QQAAqEEAAMB/AADAfwAAwH8AAKhBAAAUQgAAUEEAAGBBAAAcQgAAmEEAAKhBAAAUQgAA\nUEEAAMB/AADAfwAAwH8AAIBBAAD4QQAAqEEAAGBBAAAcQgAAmEEAAIBBAAD4QQAAqEEQHxUV\nJQ0OJxMAAACrqio/q6qqPquqKj+rqio/q6qqPquqKj+rqio/q6qqPquqKj8AAIA/AACAPwAA\ngD/JyMg9AACIQauqDkJWVY1BAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAAAEQgAA4EEAACBBAAAAQgAA+EEAABBBAAAEQgAA4EEAACBBAADAfwAAwH8AAMB/AAAAQgAA\n+EEAABBBAADIQQAA4EEAAGBBAAAAQgAA+EEAABBBAADAfwAAwH8AAMB/AAAEQgAA4EEAACBB\nAADIQQAA4EEAAGBBAAAEQgAA4EEAACBBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAABEIAAOBBAAAgQQAAAEIAAPhBAAAQQQAABEIAAOBB\nAAAgQQAAwH8AAMB/AADAfwAAAEIAAPhBAAAQQQAAyEEAAOBBAABgQQAAAEIAAPhBAAAQQQAA\nwH8AAMB/AADAfwAABEIAAOBBAAAgQQAAyEEAAOBBAABgQQAABEIAAOBBAAAgQSEcCiAfCRkc\nDgAAAOwF0T7sBdE+7AVRP+wF0T7sBdE+7AVRP+wF0T7sBdE+7AVRPwAAgD8AAIA/AACAP8nI\nyD0eHQsAAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAEQgAA4EEAACBB\nAAAAQgAA+EEAABBBAAAEQgAA4EEAACBBAADAfwAAwH8AAMB/AAAAQgAA+EEAABBBAAAkQgAA\n8EEAAMBAAAAAQgAA+EEAABBBAADAfwAAwH8AAMB/AAAEQgAA4EEAACBBAAAkQgAA8EEAAMBA\nAAAEQgAA4EEAACBBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AADAfwAABEIAAOBBAAAgQQAAAEIAAPhBAAAQQQAABEIAAOBBAAAgQQAAwH8AAMB/\nAADAfwAAAEIAAPhBAAAQQQAAJEIAAPBBAADAQAAAAEIAAPhBAAAQQQAAwH8AAMB/AADAfwAA\nBEIAAOBBAAAgQQAAJEIAAPBBAADAQAAABEIAAOBBAAAgQSEcCiAfCSkeBgAAACnNqL7Kj8q+\nG3FbvynNqL7Kj8q+G3FbvynNqL7Kj8q+G3FbvwAAgD8AAIA/AACAP8nIyD1WVQ1CVlXtQVZV\nBUEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAARCAADgQQAAIEEAACRC\nAADwQQAAwEAAAARCAADgQQAAIEEAAMB/AADAfwAAwH8AACRCAADwQQAAwEAAADRCAACQQQAA\nUEEAACRCAADwQQAAwEAAAMB/AADAfwAAwH8AAARCAADgQQAAIEEAADRCAACQQQAAUEEAAARC\nAADgQQAAIEHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AAAEQgAA4EEAACBBAAAkQgAA8EEAAMBAAAAEQgAA4EEAACBBAADAfwAAwH8AAMB/\nAAAkQgAA8EEAAMBAAAA0QgAAkEEAAFBBAAAkQgAA8EEAAMBAAADAfwAAwH8AAMB/AAAEQgAA\n4EEAACBBAAA0QgAAkEEAAFBBAAAEQgAA4EEAACBBIRwKKR4GLRINAAAApeeEvgm5DL8qREu/\npeeEvgm5DL8qREu/peeEvgm5DL8qREu/AACAPwAAgD8AAIA/ycjIPauqHkKrqspBq6oaQQAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAREIAADxCAACAPwAAOEIAAERC\nAACAPwAAREIAADxCAACAPwAAwH8AAMB/AADAfwAAOEIAAERCAACAPwAAOEIAACBCAAAAQAAA\nOEIAAERCAACAPwAAwH8AAMB/AADAfwAAREIAADxCAACAPwAAOEIAACBCAAAAQAAAREIAADxC\nAACAP83MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAERCAAA8QgAAgD8AADhCAABEQgAAgD8AAERCAAA8QgAAgD8AAMB/AADAfwAAwH8AADhC\nAABEQgAAgD8AADhCAAAgQgAAAEAAADhCAABEQgAAgD8AAMB/AADAfwAAwH8AAERCAAA8QgAA\ngD8AADhCAAAgQgAAAEAAAERCAAA8QgAAgD8xLwEuMQEuKAIAAABvXpY9po3hPVu/fT9vXpY9\npo3hPVu/fT9vXpY9po3hPVu/fT8AAIA/AACAPwAAgD/JyMg9AAA8QlZVNUKrqqo/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACKQgAAPEIAAIA/AABEQgAAPEIAAIA/\nAACKQgAAPEIAAIA/AADAfwAAwH8AAMB/AABEQgAAPEIAAIA/AAA4QgAAREIAAIA/AABEQgAA\nPEIAAIA/AADAfwAAwH8AAMB/AAA4QgAAREIAAIA/AAA4QgAAikIAAIA/AAA4QgAAREIAAIA/\nzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nikIAADxCAACAPwAAREIAADxCAACAPwAAikIAADxCAACAPwAAwH8AAMB/AADAfwAAREIAADxC\nAACAPwAAOEIAAERCAACAPwAAREIAADxCAACAPwAAwH8AAMB/AADAfwAAOEIAAERCAACAPwAA\nOEIAAIpCAACAPwAAOEIAAERCAACAPy4xATEvAUUvAUUvAS5FAS4xAUUvAUVFAS5FAQAAAAAA\nAAAAgAAAgD8AAAAAAAAAgAAAgD8AAAAAAAAAgAAAgD8AAAAAAAAAAP//fz8AAAAAAAAAAP//\nfz8AAAAAAAAAAP//fz8AAAAAAAAAAAAAgD8AAAAAAAAAAAAAgD8AAAAAAAAAAAAAgD8AAIA/\nAACAPwAAgD/JyMg9q6paQquqPkIAAIA/q6pWQgAAXEIAAIA/VlV1QquqdkIAAIA/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACKQgAAPEIAAIA/AABEQgAAPEIAAIA/\nAACKQgAAPEIAAIA/AADAfwAAwH8AAMB/AABEQgAAPEIAAIA/AAA4QgAAIEIAAABAAABEQgAA\nPEIAAIA/AADAfwAAwH8AAMB/AAA4QgAAIEIAAABAAACKQgAAIEIAAABAAAA4QgAAIEIAAABA\nzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nikIAADxCAACAPwAAREIAADxCAACAPwAAikIAADxCAACAPwAAwH8AAMB/AADAfwAAREIAADxC\nAACAPwAAOEIAACBCAAAAQAAAREIAADxCAACAPwAAwH8AAMB/AADAfwAAOEIAACBCAAAAQAAA\nikIAACBCAAAAQAAAOEIAACBCAAAAQEUvATEvAS4oAkUoAgAAAIDD0BA+VW19PwAAAIDD0BA+\nVW19PwAAAIDD0BA+VW19PwAAAIDD0BA+VW19PwAAgD8AAIA/AACAP8nIyD0AAGlCAAAuQgAA\nwD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAOhBAAA8QgAAwEAAABBC\nAABgQgAAQEAAAOhBAAA8QgAAwEAAAMB/AADAfwAAwH8AABBCAABgQgAAQEAAAAhCAAAcQgAA\noEAAABBCAABgQgAAQEAAAMB/AADAfwAAwH8AAOhBAAA8QgAAwEAAAAhCAAAcQgAAoEAAAOhB\nAAA8QgAAwEDNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AADoQQAAPEIAAMBAAAAQQgAAYEIAAEBAAADoQQAAPEIAAMBAAADAfwAAwH8AAMB/\nAAAQQgAAYEIAAEBAAAAIQgAAHEIAAKBAAAAQQgAAYEIAAEBAAADAfwAAwH8AAMB/AADoQQAA\nPEIAAMBAAAAIQgAAHEIAAKBAAADoQQAAPEIAAMBAHS8GJDgDIicFAAAA1pCevsDCmb1Xp3K/\n1pCevsDCmb1Xp3K/1pCevsDCmb1Xp3K/AACAPwAAgD8AAIA/ycjIPQAABEJWVT1CVlWVQAAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA6EEAADxCAADAQAAAyEEAADRC\nAAAAQQAA6EEAADxCAADAQAAAwH8AAMB/AADAfwAAyEEAADRCAAAAQQAACEIAABxCAACgQAAA\nyEEAADRCAAAAQQAAwH8AAMB/AADAfwAA6EEAADxCAADAQAAACEIAABxCAACgQAAA6EEAADxC\nAADAQM3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAOhBAAA8QgAAwEAAAMhBAAA0QgAAAEEAAOhBAAA8QgAAwEAAAMB/AADAfwAAwH8AAMhB\nAAA0QgAAAEEAAAhCAAAcQgAAoEAAAMhBAAA0QgAAAEEAAMB/AADAfwAAwH8AAOhBAAA8QgAA\nwEAAAAhCAAAcQgAAoEAAAOhBAAA8QgAAwEAdLwYZLQgiJwUAAABc+Mc+PlAFPmxMaT9c+Mc+\nPlAFPmxMaT9c+Mc+PlAFPmxMaT8AAIA/AACAPwAAgD/JyMg9q6rqQauqLkKrqspAAADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAQQgAAikIAAEBAAAAQQgAAYEIAAEBA\nAAAQQgAAikIAAEBAAADAfwAAwH8AAMB/AAAQQgAAYEIAAEBAAADoQQAAPEIAAMBAAAAQQgAA\nYEIAAEBAAADAfwAAwH8AAMB/AADoQQAAPEIAAMBAAADoQQAAikIAAMBAAADoQQAAPEIAAMBA\nzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nEEIAAIpCAABAQAAAEEIAAGBCAABAQAAAEEIAAIpCAABAQAAAwH8AAMB/AADAfwAAEEIAAGBC\nAABAQAAA6EEAADxCAADAQAAAEEIAAGBCAABAQAAAwH8AAMB/AADAfwAA6EEAADxCAADAQAAA\n6EEAAIpCAADAQAAA6EEAADxCAADAQCRFAyQ4Ax0vBh1FBsuvyb4AAAAAF01rv8uvyb4AAAAA\nF01rv8uvyb4AAAAAF01rv8uvyb4AAAAAF01rvwAAgD8AAIA/AACAP8nIyD0AAAJCAABxQgAA\nkEAAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAOhBAACKQgAAwEAAAOhB\nAAA8QgAAwEAAAOhBAACKQgAAwEAAAMB/AADAfwAAwH8AAOhBAAA8QgAAwEAAAMhBAAA0QgAA\nAEEAAOhBAAA8QgAAwEAAAMB/AADAfwAAwH8AAMhBAAA0QgAAAEEAAMhBAACKQgAAAEEAAMhB\nAAA0QgAAAEHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AADoQQAAikIAAMBAAADoQQAAPEIAAMBAAADoQQAAikIAAMBAAADAfwAAwH8AAMB/\nAADoQQAAPEIAAMBAAADIQQAANEIAAABBAADoQQAAPEIAAMBAAADAfwAAwH8AAMB/AADIQQAA\nNEIAAABBAADIQQAAikIAAABBAADIQQAANEIAAABBHUUGHS8GGS0IGUUILvnkvgAAAAAu+WS/\nLvnkvgAAAAAu+WS/LvnkvgAAAAAu+WS/LvnkvgAAAAAu+WS/AACAPwAAgD8AAIA/ycjIPQAA\n2EEAAGZCAADgQAAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAikIAAIA/\nAABIQgAATEIAAIA/AABIQgAAikIAAIA/AABIQgAAwH8AAMB/AADAfwAATEIAAIA/AABIQgAA\nTEIAAIA/AACIQgAATEIAAIA/AABIQs3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAIpCAACAPwAASEIAAExCAACAPwAASEIAAIpCAACAPwAA\nSEIAAMB/AADAfwAAwH8AAExCAACAPwAASEIAAExCAACAPwAAiEIAAExCAACAPwAASEJFATIz\nATIzAURFAUQAAQAAAQAAAQAAAQAAAIA/AACAPwAAgD/JyMg9PAE7AAAAwH8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAIEIAAABAAAA0QgAATEIAAIA/AABIQgAAIEIAAABA\nAAA0QgAAwH8AAMB/AADAfwAATEIAAIA/AABIQgAATEIAAIA/AACIQgAATEIAAIA/AABIQgAA\nwH8AAMB/AADAfwAAIEIAAABAAAA0QgAAIEIAAABAAACIQgAAIEIAAABAAAA0Qs3MzD7NzMw+\nzczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AACBCAAAAQAAA\nNEIAAExCAACAPwAASEIAACBCAAAAQAAANEIAAMB/AADAfwAAwH8AAExCAACAPwAASEIAAExC\nAACAPwAAiEIAAExCAACAPwAASEIAAMB/AADAfwAAwH8AACBCAAAAQAAANEIAACBCAAAAQAAA\niEIAACBCAAAAQAAANEIoAi0zATIzAUQoAkTOarm92/J+vwAAAADOarm92/J+vwAAAADOarm9\n2/J+vwAAAADOarm92/J+vwAAAAAAAIA/AACAPwAAgD/JyMg9AAA2QgAAwD8AAGdCAADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACKQgAAkEEAAFBBAAA0QgAAkEEAAFBB\nAACKQgAAkEEAAFBBAADAfwAAwH8AAMB/AAA0QgAAkEEAAFBBAAA0QgAAQEEAAJhBAAA0QgAA\nkEEAAFBBAADAfwAAwH8AAMB/AAA0QgAAQEEAAJhBAACKQgAAQEEAAJhBAAA0QgAAQEEAAJhB\nzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nikIAAJBBAABQQQAANEIAAJBBAABQQQAAikIAAJBBAABQQQAAwH8AAMB/AADAfwAANEIAAJBB\nAABQQQAANEIAAEBBAACYQQAANEIAAJBBAABQQQAAwH8AAMB/AADAfwAANEIAAEBBAACYQQAA\nikIAAEBBAACYQQAANEIAAEBBAACYQUUSDS0SDS0ME0UMEwAAAIDyBDU/8gQ1PwAAAIDyBDU/\n8gQ1PwAAAIDyBDU/8gQ1PwAAAIDyBDU/8gQ1PwAAgD8AAIA/AACAP8nIyD05DxAAAADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAYQgAAQEAAAChCAADwQQAAoEAAADhC\nAAAYQgAAQEAAAChCAADAfwAAwH8AAMB/AADwQQAAoEAAADhCAAAgQgAAAEAAADRCAADwQQAA\noEAAADhCAADAfwAAwH8AAMB/AAAYQgAAQEAAAChCAAAgQgAAAEAAADRCAAAYQgAAQEAAAChC\nzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nGEIAAEBAAAAoQgAA8EEAAKBAAAA4QgAAGEIAAEBAAAAoQgAAwH8AAMB/AADAfwAA8EEAAKBA\nAAA4QgAAIEIAAABAAAA0QgAA8EEAAKBAAAA4QgAAwH8AAMB/AADAfwAAGEIAAEBAAAAoQgAA\nIEIAAABAAAA0QgAAGEIAAEBAAAAoQiYDKh4FLigCLQAAAC2klz5IoHI/SKDyPS2klz5IoHI/\nSKDyPS2klz5IoHI/SKDyPQAAgD8AAIA/AACAP8nIyD0AABBCVlVVQFZVMUIAAMB/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AABhCAABAQAAAKEIAAEBCAACgQAAA+EEAABhC\nAABAQAAAKEIAAMB/AADAfwAAwH8AAEBCAACgQAAA+EEAACBCAAAAQAAANEIAAEBCAACgQAAA\n+EEAAMB/AADAfwAAwH8AABhCAABAQAAAKEIAACBCAAAAQAAANEIAABhCAABAQAAAKELNzMw+\nzczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAYQgAA\nQEAAAChCAABAQgAAoEAAAPhBAAAYQgAAQEAAAChCAADAfwAAwH8AAMB/AABAQgAAoEAAAPhB\nAAAgQgAAAEAAADRCAABAQgAAoEAAAPhBAADAfwAAwH8AAMB/AAAYQgAAQEAAAChCAAAgQgAA\nAEAAADRCAAAYQgAAQEAAAChCJgMqMAUfKAItAAAAcFa9vZIjdr9PiYS+cFa9vZIjdr9PiYS+\ncFa9vZIjdr9PiYS+AACAPwAAgD8AAIA/ycjIPQAAKEJWVVVAVlUdQgAAwH8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAGEIAAEBAAAAoQgAAIEIAAOBAAADoQQAAGEIAAEBA\nAAAoQgAAwH8AAMB/AADAfwAAIEIAAOBAAADoQQAAQEIAAKBAAAD4QQAAIEIAAOBAAADoQQAA\nwH8AAMB/AADAfwAAGEIAAEBAAAAoQgAAQEIAAKBAAAD4QQAAGEIAAEBAAAAoQs3MzD7NzMw+\nzczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AABhCAABAQAAA\nKEIAACBCAADgQAAA6EEAABhCAABAQAAAKEIAAMB/AADAfwAAwH8AACBCAADgQAAA6EEAAEBC\nAACgQAAA+EEAACBCAADgQAAA6EEAAMB/AADAfwAAwH8AABhCAABAQAAAKEIAAEBCAACgQAAA\n+EEAABhCAABAQAAAKEImAyooBx0wBR8AAAAE7B++BuJvvwTsn74E7B++BuJvvwTsn74E7B++\nBuJvvwTsn74AAIA/AACAPwAAgD/JyMg9KgUiAAAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAUEEAAAhCAAC4QQAAMEEAABxCAAC4QQAAUEEAAAhCAAC4QQAAwH8AAMB/\nAADAfwAAMEEAABxCAAC4QQAAYEEAABxCAACYQQAAMEEAABxCAAC4QQAAwH8AAMB/AADAfwAA\nUEEAAAhCAAC4QQAAYEEAABxCAACYQQAAUEEAAAhCAAC4Qc3MzD7NzMw+zczMPgAAgD8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAFBBAAAIQgAAuEEAADBBAAAcQgAA\nuEEAAFBBAAAIQgAAuEEAAMB/AADAfwAAwH8AADBBAAAcQgAAuEEAAGBBAAAcQgAAmEEAADBB\nAAAcQgAAuEEAAMB/AADAfwAAwH8AAFBBAAAIQgAAuEEAAGBBAAAcQgAAmEEAAFBBAAAIQgAA\nuEENIhcLJxcOJxMAAAB0DkO/kAucvtdKEr90DkO/kAucvtdKEr90DkO/kAucvtdKEr8AAIA/\nAACAPwAAgD/JyMg9q6pKQVZVFUJWVa1BAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AABQQQAACEIAALhBAACAQQAA+EEAAKhBAABQQQAACEIAALhBAADAfwAAwH8AAMB/\nAACAQQAA+EEAAKhBAABgQQAAHEIAAJhBAACAQQAA+EEAAKhBAADAfwAAwH8AAMB/AABQQQAA\nCEIAALhBAABgQQAAHEIAAJhBAABQQQAACEIAALhBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAUEEAAAhCAAC4QQAAgEEAAPhBAACoQQAA\nUEEAAAhCAAC4QQAAwH8AAMB/AADAfwAAgEEAAPhBAACoQQAAYEEAABxCAACYQQAAgEEAAPhB\nAACoQQAAwH8AAMB/AADAfwAAUEEAAAhCAAC4QQAAYEEAABxCAACYQQAAUEEAAAhCAAC4QQ0i\nFxAfFQ4nEwAAAI3nOj/G6ak+/+sYP43nOj/G6ak+/+sYP43nOj/G6ak+/+sYPwAAgD8AAIA/\nAACAP8nIyD1WVWVBq6oKQgAAqEEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAFBBAAAIQgAAuEEAADBBAAAcQgAAuEEAAFBBAAAIQgAAuEEAAMB/AADAfwAAwH8AADBB\nAAAcQgAAuEEAAOBAAAAUQgAA8EEAADBBAAAcQgAAuEEAAMB/AADAfwAAwH8AAFBBAAAIQgAA\nuEEAAOBAAAAUQgAA8EEAAFBBAAAIQgAAuEHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AABQQQAACEIAALhBAAAwQQAAHEIAALhBAABQQQAA\nCEIAALhBAADAfwAAwH8AAMB/AAAwQQAAHEIAALhBAADgQAAAFEIAAPBBAAAwQQAAHEIAALhB\nAADAfwAAwH8AAMB/AABQQQAACEIAALhBAADgQAAAFEIAAPBBAABQQQAACEIAALhBDSIXCycX\nByUeAAAAi4BIP9ZmoD63fAk/i4BIP9ZmoD63fAk/i4BIP9ZmoD63fAk/AACAPwAAgD8AAIA/\nycjIPVZVJUGrqhJCq6rKQQAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nUEEAAAhCAAC4QQAA4EAAABRCAADwQQAAUEEAAAhCAAC4QQAAwH8AAMB/AADAfwAA4EAAABRC\nAADwQQAAQEEAANBBAAD4QQAA4EAAABRCAADwQQAAwH8AAMB/AADAfwAAUEEAAAhCAAC4QQAA\nQEEAANBBAAD4QQAAUEEAAAhCAAC4Qc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAFBBAAAIQgAAuEEAAOBAAAAUQgAA8EEAAFBBAAAIQgAA\nuEEAAMB/AADAfwAAwH8AAOBAAAAUQgAA8EEAAEBBAADQQQAA+EEAAOBAAAAUQgAA8EEAAMB/\nAADAfwAAwH8AAFBBAAAIQgAAuEEAAEBBAADQQQAA+EEAAFBBAAAIQgAAuEENIhcHJR4MGh8A\nAACFJ0Y/tRvLPpal/D6FJ0Y/tRvLPpal/D6FJ0Y/tRvLPpal/D4AAIA/AACAPwAAgD/JyMg9\nq6oqQVZVAUIAAOBBAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AABQQQAA\nCEIAALhBAACAQQAA+EEAAKhBAABQQQAACEIAALhBAADAfwAAwH8AAMB/AACAQQAA+EEAAKhB\nAABAQQAA0EEAAPhBAACAQQAA+EEAAKhBAADAfwAAwH8AAMB/AABQQQAACEIAALhBAABAQQAA\n0EEAAPhBAABQQQAACEIAALhBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAUEEAAAhCAAC4QQAAgEEAAPhBAACoQQAAUEEAAAhCAAC4QQAA\nwH8AAMB/AADAfwAAgEEAAPhBAACoQQAAQEEAANBBAAD4QQAAgEEAAPhBAACoQQAAwH8AAMB/\nAADAfwAAUEEAAAhCAAC4QQAAQEEAANBBAAD4QQAAUEEAAAhCAAC4QQ0iFxAfFQwaHwAAAPQR\nQb+MYNS+hVICv/QRQb+MYNS+hVICv/QRQb+MYNS+hVICvwAAgD8AAIA/AACAP8nIyD2rqlpB\nq6ryQQAAyEEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAJhBAACwQQAA\nwEEAAIBBAAD4QQAAqEEAAJhBAACwQQAAwEEAAMB/AADAfwAAwH8AAIBBAAD4QQAAqEEAAEBB\nAADQQQAA+EEAAIBBAAD4QQAAqEEAAMB/AADAfwAAwH8AAJhBAACwQQAAwEEAAEBBAADQQQAA\n+EEAAJhBAACwQQAAwEHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AACYQQAAsEEAAMBBAACAQQAA+EEAAKhBAACYQQAAsEEAAMBBAADAfwAA\nwH8AAMB/AACAQQAA+EEAAKhBAABAQQAA0EEAAPhBAACAQQAA+EEAAKhBAADAfwAAwH8AAMB/\nAACYQQAAsEEAAMBBAABAQQAA0EEAAPhBAACYQQAAsEEAAMBBExYYEB8VDBofAAAAmBhAP8kl\n1z4WoAI/mBhAP8kl1z4WoAI/mBhAP8kl1z4WoAI/AACAPwAAgD8AAIA/ycjIPauqekGrqtJB\nq6rKQQAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAmEEAALBBAADAQQAA\nUEEAALBBAAAMQgAAmEEAALBBAADAQQAAwH8AAMB/AADAfwAAUEEAALBBAAAMQgAAQEEAANBB\nAAD4QQAAUEEAALBBAAAMQgAAwH8AAMB/AADAfwAAmEEAALBBAADAQQAAQEEAANBBAAD4QQAA\nmEEAALBBAADAQc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAJhBAACwQQAAwEEAAFBBAACwQQAADEIAAJhBAACwQQAAwEEAAMB/AADAfwAA\nwH8AAFBBAACwQQAADEIAAEBBAADQQQAA+EEAAFBBAACwQQAADEIAAMB/AADAfwAAwH8AAJhB\nAACwQQAAwEEAAEBBAADQQQAA+EEAAJhBAACwQQAAwEETFhgNFiMMGh8AAACQQji/CpISv8wC\nyb6QQji/CpISv8wCyb6QQji/CpISv8wCyb4AAIA/AACAPwAAgD/JyMg9q6pqQauqukEAAPBB\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACYQQAAsEEAAMBBAABQQQAA\nsEEAAAxCAACYQQAAsEEAAMBBAADAfwAAwH8AAMB/AABQQQAAsEEAAAxCAACQQQAAcEEAABRC\nAABQQQAAsEEAAAxCAADAfwAAwH8AAMB/AACYQQAAsEEAAMBBAACQQQAAcEEAABRCAACYQQAA\nsEEAAMBBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAmEEAALBBAADAQQAAUEEAALBBAAAMQgAAmEEAALBBAADAQQAAwH8AAMB/AADAfwAA\nUEEAALBBAAAMQgAAkEEAAHBBAAAUQgAAUEEAALBBAAAMQgAAwH8AAMB/AADAfwAAmEEAALBB\nAADAQQAAkEEAAHBBAAAUQgAAmEEAALBBAADAQRMWGA0WIxIPJQAAAIqYMj/PZhs/9NTCPoqY\nMj/PZhs/9NTCPoqYMj/PZhs/9NTCPgAAgD8AAIA/AACAP8nIyD1WVYVBVlWdQQAAAEIAAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAEBCAAAEQgAAgEAAACRCAADwQQAA\nwEAAAEBCAAAEQgAAgEAAAMB/AADAfwAAwH8AACRCAADwQQAAwEAAADhCAAAgQgAAAEAAACRC\nAADwQQAAwEAAAMB/AADAfwAAwH8AAEBCAAAEQgAAgEAAADhCAAAgQgAAAEAAAEBCAAAEQgAA\ngEDNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAABAQgAABEIAAIBAAAAkQgAA8EEAAMBAAABAQgAABEIAAIBAAADAfwAAwH8AAMB/AAAkQgAA\n8EEAAMBAAAA4QgAAIEIAAABAAAAkQgAA8EEAAMBAAADAfwAAwH8AAMB/AABAQgAABEIAAIBA\nAAA4QgAAIEIAAABAAABAQgAABEIAAIBAMCEEKR4GLigCAAAATDkMvnbAnb57AnG/TDkMvnbA\nnb57AnG/TDkMvnbAnb57AnG/AACAPwAAgD8AAIA/ycjIPQAANEJWVQlCAACAQAAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAASEIAABBBAADAQQAANEIAAEBBAACYQQAA\nSEIAABBBAADAQQAAwH8AAMB/AADAfwAANEIAAEBBAACYQQAAQEIAAKBAAAD4QQAANEIAAEBB\nAACYQQAAwH8AAMB/AADAfwAASEIAABBBAADAQQAAQEIAAKBAAAD4QQAASEIAABBBAADAQc3M\nzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAEhC\nAAAQQQAAwEEAADRCAABAQQAAmEEAAEhCAAAQQQAAwEEAAMB/AADAfwAAwH8AADRCAABAQQAA\nmEEAAEBCAACgQAAA+EEAADRCAABAQQAAmEEAAMB/AADAfwAAwH8AAEhCAAAQQQAAwEEAAEBC\nAACgQAAA+EEAAEhCAAAQQQAAwEEyCRgtDBMwBR8AAADFmJ081Z5dPyAMAD/FmJ081Z5dPyAM\nAD/FmJ081Z5dPyAMAD8AAIA/AACAPwAAgD/JyMg9q6o+QquqCkFWVcVBAADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAcQgAAQEEAAKhBAAAgQgAA4EAAAOhBAAAcQgAA\nQEEAAKhBAADAfwAAwH8AAMB/AAAgQgAA4EAAAOhBAAA0QgAAQEEAAJhBAAAgQgAA4EAAAOhB\nAADAfwAAwH8AAMB/AAAcQgAAQEEAAKhBAAA0QgAAQEEAAJhBAAAcQgAAQEEAAKhBzczMPs3M\nzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAHEIAAEBB\nAACoQQAAIEIAAOBAAADoQQAAHEIAAEBBAACoQQAAwH8AAMB/AADAfwAAIEIAAOBAAADoQQAA\nNEIAAEBBAACYQQAAIEIAAOBAAADoQQAAwH8AAMB/AADAfwAAHEIAAEBBAACoQQAANEIAAEBB\nAACYQQAAHEIAAEBBAACoQScMFSgHHS0MEwAAAG0WLT4IXFg/0tABP20WLT4IXFg/0tABP20W\nLT4IXFg/0tABPwAAgD8AAIA/AACAP8nIyD1WVSVCVlUlQQAAuEEAAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMhBAAAwQQAACEIAAJhBAACwQQAAwEEAAMhBAAAwQQAA\nCEIAAMB/AADAfwAAwH8AAJhBAACwQQAAwEEAAJBBAABwQQAAFEIAAJhBAACwQQAAwEEAAMB/\nAADAfwAAwH8AAMhBAAAwQQAACEIAAJBBAABwQQAAFEIAAMhBAAAwQQAACELNzMw+zczMPs3M\nzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADIQQAAMEEAAAhC\nAACYQQAAsEEAAMBBAADIQQAAMEEAAAhCAADAfwAAwH8AAMB/AACYQQAAsEEAAMBBAACQQQAA\ncEEAABRCAACYQQAAsEEAAMBBAADAfwAAwH8AAMB/AADIQQAAMEEAAAhCAACQQQAAcEEAABRC\nAADIQQAAMEEAAAhCGQsiExYYEg8lAAAAGUoUP4jCMj8MU9c+GUoUP4jCMj8MU9c+GUoUP4jC\nMj8MU9c+AACAPwAAgD8AAIA/ycjIPVZVpUEAAIBBVlX9QQAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAyEEAADBBAAAIQgAAGEIAAEBAAAAoQgAAyEEAADBBAAAIQgAA\nwH8AAMB/AADAfwAAGEIAAEBAAAAoQgAA8EEAAKBAAAA4QgAAGEIAAEBAAAAoQgAAwH8AAMB/\nAADAfwAAyEEAADBBAAAIQgAA8EEAAKBAAAA4QgAAyEEAADBBAAAIQs3MzD7NzMw+zczMPgAA\ngD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMhBAAAwQQAACEIAABhC\nAABAQAAAKEIAAMhBAAAwQQAACEIAAMB/AADAfwAAwH8AABhCAABAQAAAKEIAAPBBAACgQAAA\nOEIAABhCAABAQAAAKEIAAMB/AADAfwAAwH8AAMhBAAAwQQAACEIAAPBBAACgQAAAOEIAAMhB\nAAAwQQAACEIZCyImAyoeBS4AAABUXru+UGdiv1dVlL5UXru+UGdiv1dVlL5UXru+UGdiv1dV\nlL4AAIA/AACAPwAAgD/JyMg9AAD4QauqykCrqiJCAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwYdRAoXRBwGRBwGREVF\nRAYdREVFRAEvRAYdRAEvRAQiRAYdRAoXRBAPRBwGRBwGRDMBREVFRBwGRB4FRDMBRDMBREUB\nREVFRAEvRAMlRAQiREVFRAFFRAEvRB4FRCgCRDMBRBAPRBcJRBwGRAEvRAIpRAMlRAAAAQAA\nAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAA\nAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAA\nAQAAAQAAAACAPwAAgD8AAIA/ycjIPauqakGrqppBAACIQlZVCUKrqgpCAACIQquqykFWVUFC\nAACIQquqakCrqhJCAACIQgAAkEGrqmpBAACIQlZVRUKrqspBAACIQlZVEUIAAIBAAACIQgAA\nfEJWVb1BAACIQquqKkBWVR1CAACIQlZVvUGrqnZCAACIQlZVIUKrqipAAACIQquqskEAACBB\nAACIQgAAAECrqiZCAACIQgAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nuEEAABBBAAA8QgAAyEEAADBBAAAIQgAAuEEAABBBAAA8QgAAwH8AAMB/AADAfwAAyEEAADBB\nAAAIQgAAkEEAAHBBAAAUQgAAyEEAADBBAAAIQgAAwH8AAMB/AADAfwAAuEEAABBBAAA8QgAA\nkEEAAHBBAAAUQgAAuEEAABBBAAA8Qs3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AALhBAAAQQQAAPEIAAMhBAAAwQQAACEIAALhBAAAQQQAA\nPEIAAMB/AADAfwAAwH8AAMhBAAAwQQAACEIAAJBBAABwQQAAFEIAAMhBAAAwQQAACEIAAMB/\nAADAfwAAwH8AALhBAAAQQQAAPEIAAJBBAABwQQAAFEIAALhBAAAQQQAAPEIXCS8ZCyISDyUA\nAABKGg0/18lOPzwWVj5KGg0/18lOPzwWVj5KGg0/18lOPzwWVj4AAIA/AACAPwAAgD/JyMg9\nAACwQauqOkFWVR1CAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAC4QQAA\nEEEAADxCAADIQQAAMEEAAAhCAAC4QQAAEEEAADxCAADAfwAAwH8AAMB/AADIQQAAMEEAAAhC\nAADwQQAAoEAAADhCAADIQQAAMEEAAAhCAADAfwAAwH8AAMB/AAC4QQAAEEEAADxCAADwQQAA\noEAAADhCAAC4QQAAEEEAADxCzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAuEEAABBBAAA8QgAAyEEAADBBAAAIQgAAuEEAABBBAAA8QgAA\nwH8AAMB/AADAfwAAyEEAADBBAAAIQgAA8EEAAKBAAAA4QgAAyEEAADBBAAAIQgAAwH8AAMB/\nAADAfwAAuEEAABBBAAA8QgAA8EEAAKBAAAA4QgAAuEEAABBBAAA8QhcJLxkLIh4FLgAAALLs\nAb+NIla/nbpTvrLsAb+NIla/nbpTvrLsAb+NIla/nbpTvgAAgD8AAIA/AACAP8nIyD0AANBB\nVlUFQVZVKUIAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAIBBAABwQQAA\nWEIAALhBAAAQQQAAPEIAAIBBAABwQQAAWEIAAMB/AADAfwAAwH8AALhBAAAQQQAAPEIAALhB\nAAAQQQAAiEIAALhBAAAQQQAAPEIAAMB/AADAfwAAwH8AAIBBAABwQQAAWEIAAIBBAABwQQAA\niEIAAIBBAABwQQAAWELNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AACAQQAAcEEAAFhCAAC4QQAAEEEAADxCAACAQQAAcEEAAFhCAADAfwAA\nwH8AAMB/AAC4QQAAEEEAADxCAAC4QQAAEEEAAIhCAAC4QQAAEEEAADxCAADAfwAAwH8AAMB/\nAACAQQAAcEEAAFhCAACAQQAAcEEAAIhCAACAQQAAcEEAAFhCEA82FwkvFwlEEA9ERJomv6Ve\nQr8AAAAARJomv6VeQr8AAAAARJomv6VeQr8AAAAARJomv6VeQr8AAAAAAACAPwAAgD8AAIA/\nycjIPQAAnEEAAEBBAABtQgAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\noEEAANBBAACgQQAAgEEAAPhBAACoQQAAoEEAANBBAACgQQAAwH8AAMB/AADAfwAAgEEAAPhB\nAACoQQAAyEEAAOBBAABgQQAAgEEAAPhBAACoQQAAwH8AAMB/AADAfwAAoEEAANBBAACgQQAA\nyEEAAOBBAABgQQAAoEEAANBBAACgQc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAKBBAADQQQAAoEEAAIBBAAD4QQAAqEEAAKBBAADQQQAA\noEEAAMB/AADAfwAAwH8AAIBBAAD4QQAAqEEAAMhBAADgQQAAYEEAAIBBAAD4QQAAqEEAAMB/\nAADAfwAAwH8AAKBBAADQQQAAoEEAAMhBAADgQQAAYEEAAKBBAADQQQAAoEEUGhQQHxUZHA4A\nAADcsiS/ZZTDvnPYKb/csiS/ZZTDvnPYKb/csiS/ZZTDvnPYKb8AAIA/AACAPwAAgD/JyMg9\nq6qiQauq4kGrqpJBAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACgQQAA\n0EEAAKBBAACYQQAAsEEAAMBBAACgQQAA0EEAAKBBAADAfwAAwH8AAMB/AACYQQAAsEEAAMBB\nAADIQQAA4EEAAGBBAACYQQAAsEEAAMBBAADAfwAAwH8AAMB/AACgQQAA0EEAAKBBAADIQQAA\n4EEAAGBBAACgQQAA0EEAAKBBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAoEEAANBBAACgQQAAmEEAALBBAADAQQAAoEEAANBBAACgQQAA\nwH8AAMB/AADAfwAAmEEAALBBAADAQQAAyEEAAOBBAABgQQAAmEEAALBBAADAQQAAwH8AAMB/\nAADAfwAAoEEAANBBAACgQQAAyEEAAOBBAABgQQAAoEEAANBBAACgQRQaFBMWGBkcDgAAAK8J\nEz95qAA/5WolP68JEz95qAA/5WolP68JEz95qAA/5WolPwAAgD8AAIA/AACAP8nIyD2rqqpB\nq6rKQauqmkEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAKBBAADQQQAA\noEEAAJhBAACwQQAAwEEAAKBBAADQQQAAoEEAAMB/AADAfwAAwH8AAJhBAACwQQAAwEEAAIBB\nAAD4QQAAqEEAAJhBAACwQQAAwEEAAMB/AADAfwAAwH8AAKBBAADQQQAAoEEAAIBBAAD4QQAA\nqEEAAKBBAADQQQAAoEHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AACgQQAA0EEAAKBBAACYQQAAsEEAAMBBAACgQQAA0EEAAKBBAADAfwAA\nwH8AAMB/AACYQQAAsEEAAMBBAACAQQAA+EEAAKhBAACYQQAAsEEAAMBBAADAfwAAwH8AAMB/\nAACgQQAA0EEAAKBBAACAQQAA+EEAAKhBAACgQQAA0EEAAKBBFBoUExYYEB8VAAAAXFYuv/Pr\n2b6Qixi/XFYuv/Pr2b6Qixi/XFYuv/Pr2b6Qixi/AACAPwAAgD8AAIA/ycjIPauqkkGrqtJB\nVlWtQQAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA4EEAAMBBAABwQQAA\nmEEAALBBAADAQQAA4EEAAMBBAABwQQAAwH8AAMB/AADAfwAAmEEAALBBAADAQQAAyEEAAOBB\nAABgQQAAmEEAALBBAADAQQAAwH8AAMB/AADAfwAA4EEAAMBBAABwQQAAyEEAAOBBAABgQQAA\n4EEAAMBBAABwQc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAOBBAADAQQAAcEEAAJhBAACwQQAAwEEAAOBBAADAQQAAcEEAAMB/AADAfwAA\nwH8AAJhBAACwQQAAwEEAAMhBAADgQQAAYEEAAJhBAACwQQAAwEEAAMB/AADAfwAAwH8AAOBB\nAADAQQAAcEEAAMhBAADgQQAAYEEAAOBBAADAQQAAcEEcGA8TFhgZHA4AAADwDAa/le8Nv4OX\nJb/wDAa/le8Nv4OXJb/wDAa/le8Nv4OXJb8AAIA/AACAPwAAgD/JyMg9AADAQVZVxUFWVY1B\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADgQQAAwEEAAHBBAAAEQgAA\n4EEAACBBAADgQQAAwEEAAHBBAADAfwAAwH8AAMB/AAAEQgAA4EEAACBBAADIQQAA4EEAAGBB\nAAAEQgAA4EEAACBBAADAfwAAwH8AAMB/AADgQQAAwEEAAHBBAADIQQAA4EEAAGBBAADgQQAA\nwEEAAHBBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAA4EEAAMBBAABwQQAABEIAAOBBAAAgQQAA4EEAAMBBAABwQQAAwH8AAMB/AADAfwAA\nBEIAAOBBAAAgQQAAyEEAAOBBAABgQQAABEIAAOBBAAAgQQAAwH8AAMB/AADAfwAA4EEAAMBB\nAABwQQAAyEEAAOBBAABgQQAA4EEAAMBBAABwQRwYDyEcChkcDgAAAEXdxz6W1Pk+Rd1HP0Xd\nxz6W1Pk+Rd1HP0Xdxz6W1Pk+Rd1HPwAAgD8AAIA/AACAP8nIyD1WVeVBVlXVQQAAUEEAAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAEBCAAD4QQAAoEAAAEhCAADIQQAA\nAEEAAEBCAAD4QQAAoEAAAMB/AADAfwAAwH8AAEhCAADIQQAAAEEAACRCAADwQQAAwEAAAEhC\nAADIQQAAAEEAAMB/AADAfwAAwH8AAEBCAAD4QQAAoEAAACRCAADwQQAAwEAAAEBCAAD4QQAA\noEDNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAABAQgAA+EEAAKBAAABIQgAAyEEAAABBAABAQgAA+EEAAKBAAADAfwAAwH8AAMB/AABIQgAA\nyEEAAABBAAAkQgAA8EEAAMBAAABIQgAAyEEAAABBAADAfwAAwH8AAMB/AABAQgAA+EEAAKBA\nAAAkQgAA8EEAAMBAAABAQgAA+EEAAKBAMB8FMhkIKR4GAAAASgx3vRzB7L7udWK/Sgx3vRzB\n7L7udWK/Sgx3vRzB7L7udWK/AACAPwAAgD8AAIA/ycjIPVZVOUJWVeVBq6rKQAAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAQEIAAPhBAACgQAAAQEIAAARCAACAQAAA\nQEIAAPhBAACgQAAAwH8AAMB/AADAfwAAQEIAAARCAACAQAAAJEIAAPBBAADAQAAAQEIAAARC\nAACAQAAAwH8AAMB/AADAfwAAQEIAAPhBAACgQAAAJEIAAPBBAADAQAAAQEIAAPhBAACgQM3M\nzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAEBC\nAAD4QQAAoEAAAEBCAAAEQgAAgEAAAEBCAAD4QQAAoEAAAMB/AADAfwAAwH8AAEBCAAAEQgAA\ngEAAACRCAADwQQAAwEAAAEBCAAAEQgAAgEAAAMB/AADAfwAAwH8AAEBCAAD4QQAAoEAAACRC\nAADwQQAAwEAAAEBCAAD4QQAAoEAwHwUwIQQpHgYAAABik4I97IHkPuyBZD9ik4I97IHkPuyB\nZD9ik4I97IHkPuyBZD8AAIA/AACAPwAAgD/JyMg9q6o2Qquq+kEAAKBAAADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACKQgAABEIAAIBAAABAQgAABEIAAIBAAACKQgAA\nBEIAAIBAAADAfwAAwH8AAMB/AABAQgAABEIAAIBAAABAQgAA+EEAAKBAAABAQgAABEIAAIBA\nAADAfwAAwH8AAMB/AABAQgAA+EEAAKBAAABIQgAAyEEAAABBAABAQgAA+EEAAKBAAADAfwAA\nwH8AAMB/AABIQgAAyEEAAABBAACKQgAAyEEAAABBAABIQgAAyEEAAABBzczMPs3MzD7NzMw+\nAACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAikIAAARCAACAQAAA\nQEIAAARCAACAQAAAikIAAARCAACAQAAAwH8AAMB/AADAfwAAQEIAAARCAACAQAAAQEIAAPhB\nAACgQAAAQEIAAARCAACAQAAAwH8AAMB/AADAfwAAQEIAAPhBAACgQAAASEIAAMhBAAAAQQAA\nQEIAAPhBAACgQAAAwH8AAMB/AADAfwAASEIAAMhBAAAAQQAAikIAAMhBAAAAQQAASEIAAMhB\nAAAAQUUhBDAfBUUZCDAfBTIZCEUZCEUhBDAhBDAfBQAAAAAALvnkPi75ZD8AAAAALvnkPi75\nZD8AAAAALvnkPi75ZD8AAACALvnkPi75ZD8AAACALvnkPi75ZD8AAACALvnkPi75ZD8AAACA\nLvnkPi75ZD8AAACALvnkPi75ZD8AAACALvnkPi75ZD8AAIA/AACAPwAAgD/JyMg9AAB4QlZV\n7UFWVbVAq6peQgAA2EEAAOBAAABcQlZVAUKrqopAAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AABYQgAAEEIAAEBAAABAQgAABEIAAIBAAABYQgAAEEIAAEBAAADAfwAA\nwH8AAMB/AABAQgAABEIAAIBAAAA4QgAAIEIAAABAAABAQgAABEIAAIBAAADAfwAAwH8AAMB/\nAABYQgAAEEIAAEBAAAA4QgAAIEIAAABAAABYQgAAEEIAAEBAzczMPs3MzD7NzMw+AACAPwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAWEIAABBCAABAQAAAQEIAAARC\nAACAQAAAWEIAABBCAABAQAAAwH8AAMB/AADAfwAAQEIAAARCAACAQAAAOEIAACBCAAAAQAAA\nQEIAAARCAACAQAAAwH8AAMB/AADAfwAAWEIAABBCAABAQAAAOEIAACBCAAAAQAAAWEIAABBC\nAABAQDYkAzAhBC4oAgAAAKjOo7zTVI++/LV1v6jOo7zTVI++/LV1v6jOo7zTVI++/LV1vwAA\ngD8AAIA/AACAP8nIyD1WVUVCVlURQgAAQEAAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAIpCAAAgQgAAAEAAADhCAAAgQgAAAEAAAIpCAAAgQgAAAEAAAMB/AADAfwAA\nwH8AADhCAAAgQgAAAEAAAFhCAAAQQgAAQEAAADhCAAAgQgAAAEAAAMB/AADAfwAAwH8AAFhC\nAAAQQgAAQEAAAIpCAAAQQgAAQEAAAFhCAAAQQgAAQEDNzMw+zczMPs3MzD4AAIA/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACKQgAAIEIAAABAAAA4QgAAIEIAAABA\nAACKQgAAIEIAAABAAADAfwAAwH8AAMB/AAA4QgAAIEIAAABAAABYQgAAEEIAAEBAAAA4QgAA\nIEIAAABAAADAfwAAwH8AAMB/AABYQgAAEEIAAEBAAACKQgAAEEIAAEBAAABYQgAAEEIAAEBA\nRSgCLigCNiQDRSQDAAAAgENbeD5DW3g/AAAAgENbeD5DW3g/AAAAgENbeD5DW3g/AAAAgENb\neD5DW3g/AACAPwAAgD8AAIA/ycjIPQAAbkIAABhCAAAgQAAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAikIAABBCAABAQAAAWEIAABBCAABAQAAAikIAABBCAABAQAAA\nwH8AAMB/AADAfwAAWEIAABBCAABAQAAAQEIAAARCAACAQAAAWEIAABBCAABAQAAAwH8AAMB/\nAADAfwAAQEIAAARCAACAQAAAikIAAARCAACAQAAAQEIAAARCAACAQM3MzD7NzMw+zczMPgAA\ngD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAIpCAAAQQgAAQEAAAFhC\nAAAQQgAAQEAAAIpCAAAQQgAAQEAAAMB/AADAfwAAwH8AAFhCAAAQQgAAQEAAAEBCAAAEQgAA\ngEAAAFhCAAAQQgAAQEAAAMB/AADAfwAAwH8AAEBCAAAEQgAAgEAAAIpCAAAEQgAAgEAAAEBC\nAAAEQgAAgEBFJAM2JAMwIQRFIQQAAACAmuihPujccj8AAACAmuihPujccj8AAACAmuihPujc\ncj8AAACAmuihPujccj8AAIA/AACAPwAAgD/JyMg9AABwQgAACkIAAGBAAADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/zczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAf0Uh\nBEUkA0UvAUUvAUUBREUhBEUBREUSDUUhBEUBREUJGEUSDUUSDUUZCEUhBEUvAUVFREUBREUJ\nGEUME0USDUUBREUFH0UJGEUkA0UoAkUvAUUBREUBMkUFH0UvAUVFAUVFREUBMkUCKkUFHwEA\nAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEA\nAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAAA\ngD8AAIA/AACAP8nIyD0AAIpCq6oaQquqKkAAAIpCAADYQauqwkEAAIpCq6qKQauq4kEAAIpC\nVlUVQQAADEIAAIpCq6rKQVZVBUEAAIpCAAAcQquqNkIAAIpCAABQQVZVlUEAAIpCAACgQAAA\nJEIAAIpCAAAkQgAAAEAAAIpCVlUVQKuqRkIAAIpCq6p2QququkEAAIpCq6oqQAAAJEIAAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAIpCAAAQQQAAwEEAAEhCAAAQQQAA\nwEEAAIpCAAAQQQAAwEEAAMB/AADAfwAAwH8AAEhCAAAQQQAAwEEAAEBCAACgQAAA+EEAAEhC\nAAAQQQAAwEEAAMB/AADAfwAAwH8AAEBCAACgQAAA+EEAAIpCAACgQAAA+EEAAEBCAACgQAAA\n+EHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAACKQgAAEEEAAMBBAABIQgAAEEEAAMBBAACKQgAAEEEAAMBBAADAfwAAwH8AAMB/AABIQgAA\nEEEAAMBBAABAQgAAoEAAAPhBAABIQgAAEEEAAMBBAADAfwAAwH8AAMB/AABAQgAAoEAAAPhB\nAACKQgAAoEAAAPhBAABAQgAAoEAAAPhBRQkYMgkYMAUfRQUfAAAAgC9FXj/tBf4+AAAAgC9F\nXj/tBf4+AAAAgC9FXj/tBf4+AAAAgC9FXj/tBf4+AACAPwAAgD8AAIA/ycjIPQAAbEIAAOBA\nAADcQQAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAikIAAEBBAACYQQAA\nNEIAAEBBAACYQQAAikIAAEBBAACYQQAAwH8AAMB/AADAfwAANEIAAEBBAACYQQAASEIAABBB\nAADAQQAANEIAAEBBAACYQQAAwH8AAMB/AADAfwAASEIAABBBAADAQQAAikIAABBBAADAQQAA\nSEIAABBBAADAQc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAIpCAABAQQAAmEEAADRCAABAQQAAmEEAAIpCAABAQQAAmEEAAMB/AADAfwAA\nwH8AADRCAABAQQAAmEEAAEhCAAAQQQAAwEEAADRCAABAQQAAmEEAAMB/AADAfwAAwH8AAEhC\nAAAQQQAAwEEAAIpCAAAQQQAAwEEAAEhCAAAQQQAAwEFFDBMtDBMyCRhFCRgAAACAqIRbP/+1\nAz8AAACAqIRbP/+1Az8AAACAqIRbP/+1Az8AAACAqIRbP/+1Az8AAIA/AACAPwAAgD/JyMg9\nAABpQgAAKEEAAKxBAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAD4QQAA\nMEEAANhBAAAcQgAAQEEAAKhBAAD4QQAAMEEAANhBAADAfwAAwH8AAMB/AAAcQgAAQEEAAKhB\nAAAgQgAA4EAAAOhBAAAcQgAAQEEAAKhBAADAfwAAwH8AAMB/AAD4QQAAMEEAANhBAAAgQgAA\n4EAAAOhBAAD4QQAAMEEAANhBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAA+EEAADBBAADYQQAAHEIAAEBBAACoQQAA+EEAADBBAADYQQAA\nwH8AAMB/AADAfwAAHEIAAEBBAACoQQAAIEIAAOBAAADoQQAAHEIAAEBBAACoQQAAwH8AAMB/\nAADAfwAA+EEAADBBAADYQQAAIEIAAOBAAADoQQAA+EEAADBBAADYQR8LGycMFSgHHQAAAIMC\nhr6KMlW/3L75voMChr6KMlW/3L75voMChr6KMlW/3L75vgAAgD8AAIA/AACAP8nIyD2rqhJC\nAAAgQVZVzUEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAPhBAAAwQQAA\n2EEAABxCAABAQQAAqEEAAPhBAAAwQQAA2EEAAMB/AADAfwAAwH8AABxCAABAQQAAqEEAAPBB\nAACAQQAAqEEAABxCAABAQQAAqEEAAMB/AADAfwAAwH8AAPhBAAAwQQAA2EEAAPBBAACAQQAA\nqEEAAPhBAAAwQQAA2EHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AAD4QQAAMEEAANhBAAAcQgAAQEEAAKhBAAD4QQAAMEEAANhBAADAfwAA\nwH8AAMB/AAAcQgAAQEEAAKhBAADwQQAAgEEAAKhBAAAcQgAAQEEAAKhBAADAfwAAwH8AAMB/\nAAD4QQAAMEEAANhBAADwQQAAgEEAAKhBAAD4QQAAMEEAANhBHwsbJwwVHhAVAAAAGdmqPjw0\nQD/F7hE/GdmqPjw0QD/F7hE/GdmqPjw0QD/F7hE/AACAPwAAgD8AAIA/ycjIPVZVBUIAAFBB\nAAC4QQAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA+EEAADBBAADYQQAA\nGEIAAEBAAAAoQgAA+EEAADBBAADYQQAAwH8AAMB/AADAfwAAGEIAAEBAAAAoQgAAIEIAAOBA\nAADoQQAAGEIAAEBAAAAoQgAAwH8AAMB/AADAfwAA+EEAADBBAADYQQAAIEIAAOBAAADoQQAA\n+EEAADBBAADYQc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAPhBAAAwQQAA2EEAABhCAABAQAAAKEIAAPhBAAAwQQAA2EEAAMB/AADAfwAA\nwH8AABhCAABAQAAAKEIAACBCAADgQAAA6EEAABhCAABAQAAAKEIAAMB/AADAfwAAwH8AAPhB\nAAAwQQAA2EEAACBCAADgQAAA6EEAAPhBAAAwQQAA2EEfCxsmAyooBx0AAAAskqU+/KhjPyyS\npT4skqU+/KhjPyySpT4skqU+/KhjPyySpT4AAIA/AACAPwAAgD/JyMg9VlURQgAA4ECrqgJC\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAD4QQAAMEEAANhBAADIQQAA\nMEEAAAhCAAD4QQAAMEEAANhBAADAfwAAwH8AAMB/AADIQQAAMEEAAAhCAAAYQgAAQEAAAChC\nAADIQQAAMEEAAAhCAADAfwAAwH8AAMB/AAD4QQAAMEEAANhBAAAYQgAAQEAAAChCAAD4QQAA\nMEEAANhBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAA+EEAADBBAADYQQAAyEEAADBBAAAIQgAA+EEAADBBAADYQQAAwH8AAMB/AADAfwAA\nyEEAADBBAAAIQgAAGEIAAEBAAAAoQgAAyEEAADBBAAAIQgAAwH8AAMB/AADAfwAA+EEAADBB\nAADYQQAAGEIAAEBAAAAoQgAA+EEAADBBAADYQR8LGxkLIiYDKgAAAPE1tj7yImI/PC6cPvE1\ntj7yImI/PC6cPvE1tj7yImI/PC6cPgAAgD8AAIA/AACAP8nIyD2rqvpBVlUFQVZVCUIAAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAPhBAAAwQQAA2EEAAJhBAACwQQAA\nwEEAAPhBAAAwQQAA2EEAAMB/AADAfwAAwH8AAJhBAACwQQAAwEEAAPBBAACAQQAAqEEAAJhB\nAACwQQAAwEEAAMB/AADAfwAAwH8AAPhBAAAwQQAA2EEAAPBBAACAQQAAqEEAAPhBAAAwQQAA\n2EHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAAD4QQAAMEEAANhBAACYQQAAsEEAAMBBAAD4QQAAMEEAANhBAADAfwAAwH8AAMB/AACYQQAA\nsEEAAMBBAADwQQAAgEEAAKhBAACYQQAAsEEAAMBBAADAfwAAwH8AAMB/AAD4QQAAMEEAANhB\nAADwQQAAgEEAAKhBAAD4QQAAMEEAANhBHwsbExYYHhAVAAAAnCIEv2rFMr8n6P2+nCIEv2rF\nMr8n6P2+nCIEv2rFMr8n6P2+AACAPwAAgD8AAIA/ycjIPVZV1UGrqoJBAADAQQAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA+EEAADBBAADYQQAAyEEAADBBAAAIQgAA\n+EEAADBBAADYQQAAwH8AAMB/AADAfwAAyEEAADBBAAAIQgAAmEEAALBBAADAQQAAyEEAADBB\nAAAIQgAAwH8AAMB/AADAfwAA+EEAADBBAADYQQAAmEEAALBBAADAQQAA+EEAADBBAADYQc3M\nzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAPhB\nAAAwQQAA2EEAAMhBAAAwQQAACEIAAPhBAAAwQQAA2EEAAMB/AADAfwAAwH8AAMhBAAAwQQAA\nCEIAAJhBAACwQQAAwEEAAMhBAAAwQQAACEIAAMB/AADAfwAAwH8AAPhBAAAwQQAA2EEAAJhB\nAACwQQAAwEEAAPhBAAAwQQAA2EEfCxsZCyITFhgAAABWCwm/CIo1v93u6r5WCwm/CIo1v93u\n6r5WCwm/CIo1v93u6r4AAIA/AACAPwAAgD/JyMg9AADIQauqakGrquJBAADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAkQgAAgEEAAIBBAAA0QgAAQEEAAJhBAAAkQgAA\ngEEAAIBBAADAfwAAwH8AAMB/AAA0QgAAQEEAAJhBAAA0QgAAkEEAAFBBAAA0QgAAQEEAAJhB\nAADAfwAAwH8AAMB/AAAkQgAAgEEAAIBBAAA0QgAAkEEAAFBBAAAkQgAAgEEAAIBBzczMPs3M\nzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAJEIAAIBB\nAACAQQAANEIAAEBBAACYQQAAJEIAAIBBAACAQQAAwH8AAMB/AADAfwAANEIAAEBBAACYQQAA\nNEIAAJBBAABQQQAANEIAAEBBAACYQQAAwH8AAMB/AADAfwAAJEIAAIBBAACAQQAANEIAAJBB\nAABQQQAAJEIAAIBBAACAQSkQEC0MEy0SDQAAAGpBMj5qQTI/akEyP2pBMj5qQTI/akEyP2pB\nMj5qQTI/akEyPwAAgD8AAIA/AACAP8nIyD2rqi5CVlV1QQAAgEEAAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AACRCAACAQQAAgEEAABxCAABAQQAAqEEAACRCAACAQQAA\ngEEAAMB/AADAfwAAwH8AABxCAABAQQAAqEEAADRCAABAQQAAmEEAABxCAABAQQAAqEEAAMB/\nAADAfwAAwH8AACRCAACAQQAAgEEAADRCAABAQQAAmEEAACRCAACAQQAAgEHNzMw+zczMPs3M\nzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAkQgAAgEEAAIBB\nAAAcQgAAQEEAAKhBAAAkQgAAgEEAAIBBAADAfwAAwH8AAMB/AAAcQgAAQEEAAKhBAAA0QgAA\nQEEAAJhBAAAcQgAAQEEAAKhBAADAfwAAwH8AAMB/AAAkQgAAgEEAAIBBAAA0QgAAQEEAAJhB\nAAAkQgAAgEEAAIBBKRAQJwwVLQwTAAAA3tFhPoR6Nz9mXSk/3tFhPoR6Nz9mXSk/3tFhPoR6\nNz9mXSk/AACAPwAAgD8AAIA/ycjIPauqJkJWVVVBVlWVQQAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAJEIAAIBBAACAQQAAHEIAAEBBAACoQQAAJEIAAIBBAACAQQAA\nwH8AAMB/AADAfwAAHEIAAEBBAACoQQAA8EEAAIBBAACoQQAAHEIAAEBBAACoQQAAwH8AAMB/\nAADAfwAAJEIAAIBBAACAQQAA8EEAAIBBAACoQQAAJEIAAIBBAACAQc3MzD7NzMw+zczMPgAA\ngD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AACRCAACAQQAAgEEAABxC\nAABAQQAAqEEAACRCAACAQQAAgEEAAMB/AADAfwAAwH8AABxCAABAQQAAqEEAAPBBAACAQQAA\nqEEAABxCAABAQQAAqEEAAMB/AADAfwAAwH8AACRCAACAQQAAgEEAAPBBAACAQQAAqEEAACRC\nAACAQQAAgEEpEBAnDBUeEBUAAAADEJu+BHIuv52RKr8DEJu+BHIuv52RKr8DEJu+BHIuv52R\nKr8AAIA/AACAPwAAgD/JyMg9q6oSQquqakGrqppBAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AAAkQgAAgEEAAIBBAAAEQgAA4EEAACBBAAAkQgAAgEEAAIBBAADAfwAA\nwH8AAMB/AAAEQgAA4EEAACBBAAA0QgAAkEEAAFBBAAAEQgAA4EEAACBBAADAfwAAwH8AAMB/\nAAAkQgAAgEEAAIBBAAA0QgAAkEEAAFBBAAAkQgAAgEEAAIBBzczMPs3MzD7NzMw+AACAPwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAJEIAAIBBAACAQQAABEIAAOBB\nAAAgQQAAJEIAAIBBAACAQQAAwH8AAMB/AADAfwAABEIAAOBBAAAgQQAANEIAAJBBAABQQQAA\nBEIAAOBBAAAgQQAAwH8AAMB/AADAfwAAJEIAAIBBAACAQQAANEIAAJBBAABQQQAAJEIAAIBB\nAACAQSkQECEcCi0SDQAAAEMfk75DHxO/rylEv0Mfk75DHxO/rylEv0Mfk75DHxO/rylEvwAA\ngD8AAIA/AACAP8nIyD2rqh5CVlWlQQAAUEEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAOBBAADAQAAAQEIAALhBAAAQQQAAPEIAAOBBAADAQAAAQEIAAMB/AADAfwAA\nwH8AALhBAAAQQQAAPEIAAPBBAACgQAAAOEIAALhBAAAQQQAAPEIAAMB/AADAfwAAwH8AAOBB\nAADAQAAAQEIAAPBBAACgQAAAOEIAAOBBAADAQAAAQELNzMw+zczMPs3MzD4AAIA/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADgQQAAwEAAAEBCAAC4QQAAEEEAADxC\nAADgQQAAwEAAAEBCAADAfwAAwH8AAMB/AAC4QQAAEEEAADxCAADwQQAAoEAAADhCAAC4QQAA\nEEEAADxCAADAfwAAwH8AAMB/AADgQQAAwEAAAEBCAADwQQAAoEAAADhCAADgQQAAwEAAAEBC\nHAYwFwkvHgUuAAAAeagAv4aOXL+vCZO9eagAv4aOXL+vCZO9eagAv4aOXL+vCZO9AACAPwAA\ngD8AAIA/ycjIPQAA2EFWVdVAAAA8QgAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAA4EEAAMBAAABAQgAA8EEAAKBAAAA4QgAA4EEAAMBAAABAQgAAwH8AAMB/AADAfwAA\n8EEAAKBAAAA4QgAA8EEAAKBAAACIQgAA8EEAAKBAAAA4QgAAwH8AAMB/AADAfwAA4EEAAMBA\nAABAQgAA4EEAAMBAAACIQgAA4EEAAMBAAABAQs3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAOBBAADAQAAAQEIAAPBBAACgQAAAOEIAAOBB\nAADAQAAAQEIAAMB/AADAfwAAwH8AAPBBAACgQAAAOEIAAPBBAACgQAAAiEIAAPBBAACgQAAA\nOEIAAMB/AADAfwAAwH8AAOBBAADAQAAAQEIAAOBBAADAQAAAiEIAAOBBAADAQAAAQEIcBjAe\nBS4eBUQcBkQu+eS+LvlkvwAAAAAu+eS+LvlkvwAAAAAu+eS+LvlkvwAAAAAu+eS+LvlkvwAA\nAAAAAIA/AACAPwAAgD/JyMg9AADoQQAAsEAAAGZCAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AAC4QQAAEEEAADxCAADgQQAAwEAAAEBCAAC4QQAAEEEAADxCAADAfwAA\nwH8AAMB/AADgQQAAwEAAAEBCAADgQQAAwEAAAIhCAADgQQAAwEAAAEBCAADAfwAAwH8AAMB/\nAAC4QQAAEEEAADxCAAC4QQAAEEEAAIhCAAC4QQAAEEEAADxCzczMPs3MzD7NzMw+AACAPwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAuEEAABBBAAA8QgAA4EEAAMBA\nAABAQgAAuEEAABBBAAA8QgAAwH8AAMB/AADAfwAA4EEAAMBAAABAQgAA4EEAAMBAAACIQgAA\n4EEAAMBAAABAQgAAwH8AAMB/AADAfwAAuEEAABBBAAA8QgAAuEEAABBBAACIQgAAuEEAABBB\nAAA8QhcJLxwGMBwGRBcJRP61A7+ohFu/AAAAAP61A7+ohFu/AAAAAP61A7+ohFu/AAAAAP61\nA7+ohFu/AAAAAAAAgD8AAIA/AACAP8nIyD0AAMxBAADwQAAAZ0IAAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAwH8AAKhBAAAwQQAAOEIAALhBAAAQQQAAPEIAAKhBAAAwQQAA\nOEIAAMB/AADAfwAAwH8AALhBAAAQQQAAPEIAAIBBAABwQQAAWEIAALhBAAAQQQAAPEIAAMB/\nAADAfwAAwH8AAKhBAAAwQQAAOEIAAIBBAABwQQAAWEIAAKhBAAAwQQAAOELNzMw+zczMPs3M\nzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACoQQAAMEEAADhC\nAAC4QQAAEEEAADxCAACoQQAAMEEAADhCAADAfwAAwH8AAMB/AAC4QQAAEEEAADxCAACAQQAA\ncEEAAFhCAAC4QQAAEEEAADxCAADAfwAAwH8AAMB/AACoQQAAMEEAADhCAACAQQAAcEEAAFhC\nAACoQQAAMEEAADhCFQsuFwkvEA82AAAAIyIwv6XwOL8c6Iy9IyIwv6XwOL8c6Iy9IyIwv6Xw\nOL8c6Iy9AACAPwAAgD8AAIA/ycjIPQAAoEGrqjpBAABEQgAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AADAfwAAqEEAADBBAAA4QgAAgEEAAHBBAABYQgAAqEEAADBBAAA4QgAA\nwH8AAMB/AADAfwAAgEEAAHBBAABYQgAAkEEAAHBBAAAUQgAAgEEAAHBBAABYQgAAwH8AAMB/\nAADAfwAAqEEAADBBAAA4QgAAkEEAAHBBAAAUQgAAqEEAADBBAAA4Qs3MzD7NzMw+zczMPgAA\ngD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAKhBAAAwQQAAOEIAAIBB\nAABwQQAAWEIAAKhBAAAwQQAAOEIAAMB/AADAfwAAwH8AAIBBAABwQQAAWEIAAJBBAABwQQAA\nFEIAAIBBAABwQQAAWEIAAMB/AADAfwAAwH8AAKhBAAAwQQAAOEIAAJBBAABwQQAAFEIAAKhB\nAAAwQQAAOEIVCy4QDzYSDyUAAABrFTO/nrc1v6GMqL1rFTO/nrc1v6GMqL1rFTO/nrc1v6GM\nqL0AAIA/AACAPwAAgD/JyMg9q6qSQauqWkGrqjZCAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAMB/AACoQQAAMEEAADhCAAC4QQAAEEEAADxCAACoQQAAMEEAADhCAADAfwAA\nwH8AAMB/AAC4QQAAEEEAADxCAACQQQAAcEEAABRCAAC4QQAAEEEAADxCAADAfwAAwH8AAMB/\nAACoQQAAMEEAADhCAACQQQAAcEEAABRCAACoQQAAMEEAADhCzczMPs3MzD7NzMw+AACAPwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAqEEAADBBAAA4QgAAuEEAABBB\nAAA8QgAAqEEAADBBAAA4QgAAwH8AAMB/AADAfwAAuEEAABBBAAA8QgAAkEEAAHBBAAAUQgAA\nuEEAABBBAAA8QgAAwH8AAMB/AADAfwAAqEEAADBBAAA4QgAAkEEAAHBBAAAUQgAAqEEAADBB\nAAA4QhULLhcJLxIPJQAAAHvZLT9yRDo/aK/GPXvZLT9yRDo/aK/GPXvZLT9yRDo/aK/GPQAA\ngD8AAIA/AACAP8nIyD1WVaVBq6o6QVZVLUIAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAAwH8AAPBBAACYQQAAkEEAAJhBAACwQQAAwEEAAPBBAACYQQAAkEEAAMB/AADAfwAA\nwH8AAJhBAACwQQAAwEEAAPBBAACAQQAAqEEAAJhBAACwQQAAwEEAAMB/AADAfwAAwH8AAPBB\nAACYQQAAkEEAAPBBAACAQQAAqEEAAPBBAACYQQAAkEHNzMw+zczMPs3MzD4AAIA/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADwQQAAmEEAAJBBAACYQQAAsEEAAMBB\nAADwQQAAmEEAAJBBAADAfwAAwH8AAMB/AACYQQAAsEEAAMBBAADwQQAAgEEAAKhBAACYQQAA\nsEEAAMBBAADAfwAAwH8AAMB/AADwQQAAmEEAAJBBAADwQQAAgEEAAKhBAADwQQAAmEEAAJBB\nHhMSExYYHhAVAAAArzIAP7qvHD+6rxw/rzIAP7qvHD+6rxw/rzIAP7qvHD+6rxw/AACAPwAA\ngD8AAIA/ycjIPauq0kEAAJhBAACoQQAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADAfwAA8EEAAJhBAACQQQAA4EEAAMBBAABwQQAA8EEAAJhBAACQQQAAwH8AAMB/AADAfwAA\n4EEAAMBBAABwQQAAmEEAALBBAADAQQAA4EEAAMBBAABwQQAAwH8AAMB/AADAfwAA8EEAAJhB\nAACQQQAAmEEAALBBAADAQQAA8EEAAJhBAACQQc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAPBBAACYQQAAkEEAAOBBAADAQQAAcEEAAPBB\nAACYQQAAkEEAAMB/AADAfwAAwH8AAOBBAADAQQAAcEEAAJhBAACwQQAAwEEAAOBBAADAQQAA\ncEEAAMB/AADAfwAAwH8AAPBBAACYQQAAkEEAAJhBAACwQQAAwEEAAPBBAACYQQAAkEEeExIc\nGA8TFhgAAABKdwE/QWIVP5GpIj9KdwE/QWIVP5GpIj9KdwE/QWIVP5GpIj8AAIA/AACAPwAA\ngD/JyMg9VlXNQVZVrUEAAJhBAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\nAADwQQAAmEEAAJBBAAAkQgAAgEEAAIBBAADwQQAAmEEAAJBBAADAfwAAwH8AAMB/AAAkQgAA\ngEEAAIBBAADwQQAAgEEAAKhBAAAkQgAAgEEAAIBBAADAfwAAwH8AAMB/AADwQQAAmEEAAJBB\nAADwQQAAgEEAAKhBAADwQQAAmEEAAJBBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA8EEAAJhBAACQQQAAJEIAAIBBAACAQQAA8EEAAJhB\nAACQQQAAwH8AAMB/AADAfwAAJEIAAIBBAACAQQAA8EEAAIBBAACoQQAAJEIAAIBBAACAQQAA\nwH8AAMB/AADAfwAA8EEAAJhBAACQQQAA8EEAAIBBAACoQQAA8EEAAJhBAACQQR4TEikQEB4Q\nFQAAAGKrnL4fViy/H1Ysv2KrnL4fViy/H1Ysv2KrnL4fViy/H1YsvwAAgD8AAIA/AACAP8nI\nyD2rqgZCAACIQauqkkEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAPBB\nAACYQQAAkEEAAOBBAADAQQAAcEEAAPBBAACYQQAAkEEAAMB/AADAfwAAwH8AAOBBAADAQQAA\ncEEAAARCAADgQQAAIEEAAOBBAADAQQAAcEEAAMB/AADAfwAAwH8AAPBBAACYQQAAkEEAAARC\nAADgQQAAIEEAAPBBAACYQQAAkEHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAMB/AADwQQAAmEEAAJBBAADgQQAAwEEAAHBBAADwQQAAmEEAAJBB\nAADAfwAAwH8AAMB/AADgQQAAwEEAAHBBAAAEQgAA4EEAACBBAADgQQAAwEEAAHBBAADAfwAA\nwH8AAMB/AADwQQAAmEEAAJBBAAAEQgAA4EEAACBBAADwQQAAmEEAAJBBHhMSHBgPIRwKAAAA\nCWOZvsR8E7/urkK/CWOZvsR8E7/urkK/CWOZvsR8E7/urkK/AACAPwAAgD8AAIA/ycjIPauq\n8kFWVb1BVlVlQQAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA8EEAAJhB\nAACQQQAAJEIAAIBBAACAQQAA8EEAAJhBAACQQQAAwH8AAMB/AADAfwAAJEIAAIBBAACAQQAA\nBEIAAOBBAAAgQQAAJEIAAIBBAACAQQAAwH8AAMB/AADAfwAA8EEAAJhBAACQQQAABEIAAOBB\nAAAgQQAA8EEAAJhBAACQQc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAA\nwH8AAMB/AADAfwAAwH8AAPBBAACYQQAAkEEAACRCAACAQQAAgEEAAPBBAACYQQAAkEEAAMB/\nAADAfwAAwH8AACRCAACAQQAAgEEAAARCAADgQQAAIEEAACRCAACAQQAAgEEAAMB/AADAfwAA\nwH8AAPBBAACYQQAAkEEAAARCAADgQQAAIEEAAPBBAACYQQAAkEEeExIpEBAhHAoAAABRe5c+\nAOATPx/DQj9Re5c+AOATPx/DQj9Re5c+AOATPx/DQj8AAIA/AACAPwAAgD/JyMg9q6oKQgAA\nqEGrqmpBKRAQKBkKCy0WOQQkAS8wICIIDSQWEhYbLQwTDSIXJwwVDRM5ExMdAik6BCUqIB8J\nNgIqAykpGRwOJhASMhkIMQsVFw8fFwkvJgMqLA0TMB8FLjEBDC8UHS8GNiQDHQ4ZJQMzFBoU\nMwEyDRYjChklLRINEg8lHgUuFigLDBofBCMuMS8BKR4GKAcdDicTHhMSCC0ZFBgWNBULGggu\nCBsnDzsRIicFFA4mDRkfLw0SGSYKMCEEEA82ExYYBTAeCS8YJwgcHBgPEhUcGQsiBh0vEBgc\nFg4iOxcKJDgDEB8VChcuByUeEi0OHhAVJx4HGS0IAyUsMgkYMA4RCycXEDkQBCI1GwcxMAUf\nLigCHwsbMxgJIRwKCRk4HDoHBy0cFSUNHAYwFQsuHi4GKAItAAAAASkQECgZCgstFjkEJAEv\nMCAiCA0kFhIWGy0MEw0iFycMFQ0TORMTHQIpOgQlKiAfCTYCKgMpKRkcDiYQEjIZCDELFRcP\nHxcJLyYDKiwNEzAfBS4xAQwvFB0vBjYkAx0OGSUDMxQaFDMBMg0WIwoZJS0SDRIPJR4FLhYo\nCwwaHwQjLjEvASkeBigHHQ4nEx4TEggtGRQYFjQVCxoILggbJw87ESInBRQOJg0ZHy8NEhkm\nCjAhBBAPNhMWGAUwHgkvGCcIHBwYDxIVHBkLIgYdLxAYHBYOIjsXCiQ4AxAfFQoXLgclHhIt\nDh4QFSceBxktCAMlLDIJGDAOEQsnFxA5EAQiNRsHMTAFHy4oAh8LGzMYCSEcCgkZOBw6Bwct\nHBUlDRwGMBULLh4uBigCLQAAAADheoS/XI+CvwAAcELheoS/XI+CvwAAAADheoS/XI+CvwAA\nAAC28zPAEFgxwAAAIEHheoS/XI+CvwAAIEG28zPAEFgxwAAAoEHheoS/XI+CvwAAoEG28zPA\nEFgxwAAA8EHheoS/XI+CvwAA8EG28zPAEFgxwAAAIELheoS/XI+CvwAAIEK28zPAEFgxwAAA\nSELheoS/XI+CvwAASEK28zPAEFgxwAAAcELheoS/XI+CvwAAcEK28zPAEFgxwAAAAAEAAPBB\n4XqEv1yPgr8AAAAAJjH2v76f8r8AACBBJjH2v76f8r8AAKBBJjH2v76f8r8AAPBBJjH2v76f\n8r8AACBCJjH2v76f8r8AAEhCJjH2v76f8r8AAHBCJjH2v76f8r8AAAAAIbDLwGq8yMAAACBB\nIbDLwGq8yMAAAKBBIbDLwGq8yMAAAPBBIbDLwGq8yMAAACBCIbDLwGq8yMAAAEhCIbDLwGq8\nyMAAAHBCIbDLwGq8yMAAAAABAAAAACGwy8BqvMjAAAAgQSGwy8BqvMjAAACgQSGwy8BqvMjA\nAADwQSGwy8BqvMjAAAAgQiGwy8BqvMjAAABIQiGwy8BqvMjAAABwQiGwy8BqvMjA4XqEvwAA\nAABcj4K/4XqEvwAAcEJcj4K/4XqEvwAAAABcj4K/tvMzwAAAAAAQWDHA4XqEvwAAIEFcj4K/\ntvMzwAAAIEEQWDHA4XqEvwAAoEFcj4K/tvMzwAAAoEEQWDHA4XqEvwAA8EFcj4K/tvMzwAAA\n8EEQWDHA4XqEvwAAIE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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef 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+<p id="rgl21568-aria" hidden>3D plot</p>
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BBAACgQAAAQEIAAPBBAADgQAAAFEIAAPBBByUeAykpBTAeAAAA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\n8EEQWDHA4XqEvwAAIE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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="ini3D.html">ini3D</a></span><span class="op">(</span>argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span></span></span>
 <span class="r-in"><span>  xlim <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">0</span>,<span class="fu"><a href="https://rdrr.io/r/base/Extremes.html" class="external-link">max</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span>,<span class="fl">1</span><span class="op">]</span><span class="op">)</span><span class="op">+</span><span class="fl">10</span><span class="op">)</span>,</span></span>
 <span class="r-in"><span>  ylim <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">0</span>,<span class="fu"><a href="https://rdrr.io/r/base/Extremes.html" class="external-link">max</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span>,<span class="fl">2</span><span class="op">]</span><span class="op">)</span><span class="op">+</span><span class="fl">10</span><span class="op">)</span>,</span></span>
 <span class="r-in"><span>  zlim <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">0</span>,<span class="fu"><a href="https://rdrr.io/r/base/Extremes.html" class="external-link">max</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span>,<span class="fl">3</span><span class="op">]</span><span class="op">)</span><span class="op">+</span><span class="fl">10</span><span class="op">)</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">plotHull3D</span><span class="op">(</span><span class="va">pts</span>, drawPoints <span class="op">=</span> <span class="cn">TRUE</span>, drawPolygons <span class="op">=</span> <span class="cn">TRUE</span>, addText <span class="op">=</span> <span class="st">"coord"</span>, addRays <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl7267-aria" hidden>3D plot</p>
-<div id="rgl7267" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl7267-aria"></div>
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MB/AADAfwAAwH8AAEBAAAAkQgAA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\nwH8AADBBAAAcQgAAuEEAAABBAAA0QgAAyEEAADBBAAAcQgAAuEELJxc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ADwQQAAwH8AAMB/AADAfwAAAEEAANhBAAAcQgAA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\nA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IQgAATEIAAIA/AABIQgAAikIAAIA/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\nFEIAAPBBAAB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AikIAAARC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\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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? 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MB/AADAfwAAwH8AAEBAAAAkQgAA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\nwH8AADBBAAAcQgAAuEEAAABBAAA0QgAAyEEAADBBAAAcQgAAuEELJxc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ADwQQAAwH8AAMB/AADAfwAAAEEAANhBAAAcQgAA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\nA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IQgAATEIAAIA/AABIQgAAikIAAIA/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\nFEIAAPBBAAB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AikIAAARC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\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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="ini3D.html">ini3D</a></span><span class="op">(</span>argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span></span></span>
 <span class="r-in"><span>  xlim <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">0</span>,<span class="fu"><a href="https://rdrr.io/r/base/Extremes.html" class="external-link">max</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span>,<span class="fl">1</span><span class="op">]</span><span class="op">)</span><span class="op">+</span><span class="fl">10</span><span class="op">)</span>,</span></span>
 <span class="r-in"><span>  ylim <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">0</span>,<span class="fu"><a href="https://rdrr.io/r/base/Extremes.html" class="external-link">max</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span>,<span class="fl">2</span><span class="op">]</span><span class="op">)</span><span class="op">+</span><span class="fl">10</span><span class="op">)</span>,</span></span>
@@ -226,9 +226,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fu">plotHull3D</span><span class="op">(</span><span class="va">pts</span>, drawPoints <span class="op">=</span> <span class="cn">TRUE</span>, drawLines <span class="op">=</span> <span class="cn">FALSE</span>,</span></span>
 <span class="r-in"><span>  argsPolygon3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>alpha <span class="op">=</span> <span class="fl">1</span><span class="op">)</span>, addRays <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl38623-aria" hidden>3D plot</p>
-<div id="rgl38623" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl38623-aria"></div>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="ini3D.html">ini3D</a></span><span class="op">(</span>argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span></span></span>
 <span class="r-in"><span>  xlim <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">0</span>,<span class="fu"><a href="https://rdrr.io/r/base/Extremes.html" class="external-link">max</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span>,<span class="fl">1</span><span class="op">]</span><span class="op">)</span><span class="op">+</span><span class="fl">10</span><span class="op">)</span>,</span></span>
 <span class="r-in"><span>  ylim <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">0</span>,<span class="fu"><a href="https://rdrr.io/r/base/Extremes.html" class="external-link">max</a></span><span class="op">(</span><span class="va">pts</span><span class="op">[</span>,<span class="fl">2</span><span class="op">]</span><span class="op">)</span><span class="op">+</span><span class="fl">10</span><span class="op">)</span>,</span></span>
@@ -236,9 +236,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fu">plotHull3D</span><span class="op">(</span><span class="va">pts</span>, drawPoints <span class="op">=</span> <span class="cn">TRUE</span>, argsPolygon3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>color <span class="op">=</span> <span class="st">"red"</span><span class="op">)</span>, addRays <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="plotCones3D.html">plotCones3D</a></span><span class="op">(</span><span class="va">pts</span>, argsPolygon3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>alpha <span class="op">=</span> <span class="fl">1</span><span class="op">)</span>, rectangle <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl26937-aria" hidden>3D plot</p>
-<div id="rgl26937" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl26937-aria"></div>
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AAQAAAQABAQEBAAA+QgAAAEEAAGRCAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/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\nREUnRAABAAABAAABAAABAAEBAQEAAE5CAAAcQgAAEkIAAMB/AADAf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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># }</span></span></span>
+<p id="rgl50883-aria" hidden>3D plot</p>
+<div id="rgl50883" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl50883-aria"></div>
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AAQAAAQABAQEBAAA+QgAAAEEAAGRCAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/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\nREUnRAABAAABAAABAAABAAEBAQEAAE5CAAAcQgAAEkIAAMB/AADAf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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># }</span></span></span>
 </code></pre></div>
     </div>
   </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
diff --git a/reference/plotPlane3D.html b/reference/plotPlane3D.html
index d438813..10c2fe8 100644
--- a/reference/plotPlane3D.html
+++ b/reference/plotPlane3D.html
@@ -133,17 +133,17 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fu">plotPlane3D</span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">2</span>,<span class="fl">1</span>,<span class="fl">1</span><span class="op">)</span>, offset <span class="op">=</span> <span class="op">-</span><span class="fl">6</span>, argsPlanes3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>color<span class="op">=</span><span class="st">"blue"</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">plotPlane3D</span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">2</span>,<span class="fl">1</span>,<span class="fl">1</span><span class="op">)</span>, argsPlanes3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>color<span class="op">=</span><span class="st">"green"</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl57125-aria" hidden>3D plot</p>
-<div id="rgl57125" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl57125-aria"></div>
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+<p id="rgl39001-aria" hidden>3D plot</p>
+<div id="rgl39001" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl39001-aria"></div>
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? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="ini3D.html">ini3D</a></span><span class="op">(</span>argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>xlim <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="op">-</span><span class="fl">1</span>,<span class="fl">10</span><span class="op">)</span>, ylim <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="op">-</span><span class="fl">1</span>,<span class="fl">10</span><span class="op">)</span>, zlim <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="op">-</span><span class="fl">1</span>,<span class="fl">10</span><span class="op">)</span><span class="op">)</span> <span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">plotPlane3D</span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">1</span>,<span class="fl">1</span>,<span class="fl">1</span><span class="op">)</span>, point <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">1</span>,<span class="fl">1</span>,<span class="fl">1</span><span class="op">)</span>, useLines <span class="op">=</span> <span class="cn">TRUE</span>, useShade <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="va">ids</span> <span class="op">&lt;-</span> <span class="fu">plotPlane3D</span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">1</span>,<span class="fl">2</span>,<span class="fl">1</span><span class="op">)</span>, point <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">2</span>,<span class="fl">2</span>,<span class="fl">2</span><span class="op">)</span>, argsLines <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>col<span class="op">=</span><span class="st">"blue"</span>, lines <span class="op">=</span> <span class="fl">100</span><span class="op">)</span>,</span></span>
 <span class="r-in"><span>            useLines <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl99914-aria" hidden>3D plot</p>
-<div id="rgl99914" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl99914-aria"></div>
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wH/H+lBA0VifPwAAwH/RWF9A0VifPwAAwH/btm1A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OY7jPjmOw0DkOI4/\nOY7jPgAAwEDHcZw/OY7jPsdxvECrqqo/OY7jPo7juECO47g/OY7jPlVVtUByHMc/OY7jPhzH\nsUBVVdU/OY7jPuQ4rkA5juM/OY7jPquqqkAcx/E/OY7jPnIcp0AAAABAOY7jPjmOo0ByHAdA\nOY7jPgAAoEDkOA5AOY7jPsdxnEBVVRVAOY7jPo7jmEDHcRxAOY7jPlVVlUA5jiNAOY7jPhzH\nkUCrqipAOY7jPuQ4jkAcxzFAOY7jPquqikCO4zhAOY7jPnIch0AAAEBAOY7jPjmOg0ByHEdA\nOY7jPgAAgEDkOE5AOY7jPo7jeEBVVVVAOY7jPhzHcUDHcVxAOY7jPquqakA5jmNAOY7jPjmO\nY0CrqmpAOY7jPsdxXEAcx3FAOY7jPlVVVUCO43hAOY7jPuQ4TkAAAIBAOY7jPnIcR0A5joNA\nOY7jPgAAQEByHIdAOY7jPo7jOECrqopAOY7jPhzHMUDkOI5AOY7jPquqKkAcx5FAOY7jPjmO\nI0BVVZVAOY7jPsdxHECO45hAOY7jPlVVFUDHcZxAOY7jPuQ4DkAAAKBAOY7jPnIcB0A5jqNA\nOY7jPgAAAEByHKdAOY7jPhzH8T+rqqpAOY7jPjmO4z/kOK5AOY7jPlVV1T8cx7FAOY7jPnIc\nxz9VVbVAOY7jPo7juD+O47hAOY7jPquqqj/HcbxAOY7jPsdxnD8AAMBAOY7jPuQ4jj85jsNA\nOY7jPgAAgD9yHMdAOY7jPjmOYz+rqspAOY7jPnIcRz/kOM5AOY7jPquqKj8cx9FAOY7jPuQ4\nDj9VVdVAOY7jPjmO4z6O49hAOY7jPquqqj7HcdxAOY7jPjmOYz4AAOBAOY7jPjmO4z05juNA\nOY7jPgAAAAByHOdAOY7jPjmO472rqupAOY7jPjmOY77kOO5AOY7jPquqqr4cx/FAOY7jPjmO\n475VVfVAOY7jPuQ4Dr+O4/hAOY7jPquqKr/HcfxAOY7jPnIcR78AAABBOY7jPjmOY78cxwFB\nOY7jPgAAgL85jgNBOY7jPgAAwH9VVQVBOY7jPgAAwH9yHAdBOY7jPgAAwH+O4whBOY7jPgAA\nwH+rqgpBOY7jPgAAwH/HcQxBOY7jPgAAwH/kOA5BOY7jPgAAwH8AABBBOY7jPgAAwH8cxxFB\nOY7jPgAAwH85jhNBOY7jPgAAwH9VVRVBOY7jPgAAwH9yHBdBOY7jPgAAwH+O4xhBOY7jPgAA\nwH+rqhpBOY7jPgAAwH/HcRxBOY7jPgAAwH/kOB5BOY7jPgAAwH8AACBBOY7jPgAAwH8AAIC/\n5DgOP8dx/EA5jmO/5DgOP47j+EByHEe/5DgOP1VV9UCrqiq/5DgOPxzH8UDkOA6/5DgOP+Q4\n7kA5juO+5DgOP6uq6kCrqqq+5DgOP3Ic50A5jmO+5DgOPzmO40A5juO95DgOPwAA4EAAAAAA\n5DgOP8dx3EA5juM95DgOP47j2EA5jmM+5DgOP1VV1UCrqqo+5DgOPxzH0UA5juM+5DgOP+Q4\nzkDkOA4/5DgOP6uqykCrqio/5DgOP3Icx0ByHEc/5DgOPzmOw0A5jmM/5DgOPwAAwEAAAIA/\n5DgOP8dxvEDkOI4/5DgOP47juEDHcZw/5DgOP1VVtUCrqqo/5DgOPxzHsUCO47g/5DgOP+Q4\nrkByHMc/5DgOP6uqqkBVVdU/5DgOP3Icp0A5juM/5DgOPzmOo0Acx/E/5DgOPwAAoEAAAABA\n5DgOP8dxnEByHAdA5DgOP47jmEDkOA5A5DgOP1VVlUBVVRVA5DgOPxzHkUDHcRxA5DgOP+Q4\njkA5jiNA5DgOP6uqikCrqipA5DgOP3Ich0AcxzFA5DgOPzmOg0CO4zhA5DgOPwAAgEAAAEBA\n5DgOP47jeEByHEdA5DgOPxzHcUDkOE5A5DgOP6uqakBVVVVA5DgOPzmOY0DHcVxA5DgOP8dx\nXEA5jmNA5DgOP1VVVUCrqmpA5DgOP+Q4TkAcx3FA5DgOP3IcR0CO43hA5DgOPwAAQEAAAIBA\n5DgOP47jOEA5joNA5DgOPxzHMUByHIdA5DgOP6uqKkCrqopA5DgOPzmOI0DkOI5A5DgOP8dx\nHEAcx5FA5DgOP1VVFUBVVZVA5DgOP+Q4DkCO45hA5DgOP3IcB0DHcZxA5DgOPwAAAEAAAKBA\n5DgOPxzH8T85jqNA5DgOPzmO4z9yHKdA5DgOP1VV1T+rqqpA5DgOP3Icxz/kOK5A5DgOP47j\nuD8cx7FA5DgOP6uqqj9VVbVA5DgOP8dxnD+O47hA5DgOP+Q4jj/HcbxA5DgOPwAAgD8AAMBA\n5DgOPzmOYz85jsNA5DgOP3IcRz9yHMdA5DgOP6uqKj+rqspA5DgOP+Q4Dj/kOM5A5DgOPzmO\n4z4cx9FA5DgOP6uqqj5VVdVA5DgOPzmOYz6O49hA5DgOPzmO4z3HcdxA5DgOPwAAgCYAAOBA\n5DgOPzmO4705juNA5DgOPzmOY75yHOdA5DgOP6uqqr6rqupA5DgOPzmO477kOO5A5DgOP+Q4\nDr8cx/FA5DgOP6uqKr9VVfVA5DgOP3IcR7+O4/hA5DgOPzmOY7/HcfxA5DgOPwAAgL8AAABB\n5DgOPwAAwH8cxwFB5DgOPwAAwH85jgNB5DgOPwAAwH9VVQVB5DgOPwAAwH9yHAdB5DgOPwAA\nwH+O4whB5DgOPwAAwH+rqgpB5DgOPwAAwH/HcQxB5DgOPwAAwH/kOA5B5DgOPwAAwH8AABBB\n5DgOPwAAwH8cxxFB5DgOPwAAwH85jhNB5DgOPwAAwH9VVRVB5DgOPwAAwH9yHBdB5DgOPwAA\nwH+O4xhB5DgOPwAAwH+rqhpB5DgOPwAAwH/HcRxB5DgOPwAAwH/kOB5B5DgOPwAAwH8AACBB\n5DgOPwAAwH8AAIC/q6oqP1VV9UA5jmO/q6oqPxzH8UByHEe/q6oqP+Q47kCrqiq/q6oqP6uq\n6kDkOA6/q6oqP3Ic50A5juO+q6oqPzmO40Crqqq+q6oqPwAA4EA5jmO+q6oqP8dx3EA5juO9\nq6oqP47j2EAAAAAAq6oqP1VV1UA5juM9q6oqPxzH0UA5jmM+q6oqP+Q4zkCrqqo+q6oqP6uq\nykA5juM+q6oqP3Icx0DkOA4/q6oqPzmOw0Crqio/q6oqPwAAwEByHEc/q6oqP8dxvEA5jmM/\nq6oqP47juEAAAIA/q6oqP1VVtUDkOI4/q6oqPxzHsUDHcZw/q6oqP+Q4rkCrqqo/q6oqP6uq\nqkCO47g/q6oqP3Icp0ByHMc/q6oqPzmOo0BVVdU/q6oqPwAAoEA5juM/q6oqP8dxnEAcx/E/\nq6oqP47jmEAAAABAq6oqP1VVlUByHAdAq6oqPxzHkUDkOA5Aq6oqP+Q4jkBVVRVAq6oqP6uq\nikDHcRxAq6oqP3Ich0A5jiNAq6oqPzmOg0CrqipAq6oqPwAAgEAcxzFAq6oqP47jeECO4zhA\nq6oqPxzHcUAAAEBAq6oqP6uqakByHEdAq6oqPzmOY0DkOE5Aq6oqP8dxXEBVVVVAq6oqP1VV\nVUDHcVxAq6oqP+Q4TkA5jmNAq6oqP3IcR0CrqmpAq6oqPwAAQEAcx3FAq6oqP47jOECO43hA\nq6oqPxzHMUAAAIBAq6oqP6uqKkA5joNAq6oqPzmOI0ByHIdAq6oqP8dxHECrqopAq6oqP1VV\nFUDkOI5Aq6oqP+Q4DkAcx5FAq6oqP3IcB0BVVZVAq6oqPwAAAECO45hAq6oqPxzH8T/HcZxA\nq6oqPzmO4z8AAKBAq6oqP1VV1T85jqNAq6oqP3Icxz9yHKdAq6oqP47juD+rqqpAq6oqP6uq\nqj/kOK5Aq6oqP8dxnD8cx7FAq6oqP+Q4jj9VVbVAq6oqPwAAgD+O47hAq6oqPzmOYz/HcbxA\nq6oqP3IcRz8AAMBAq6oqP6uqKj85jsNAq6oqP+Q4Dj9yHMdAq6oqPzmO4z6rqspAq6oqP6uq\nqj7kOM5Aq6oqPzmOYz4cx9FAq6oqPzmO4z1VVdVAq6oqPwAAgCaO49hAq6oqPzmO473HcdxA\nq6oqPzmOY74AAOBAq6oqP6uqqr45juNAq6oqPzmO475yHOdAq6oqP+Q4Dr+rqupAq6oqP6uq\nKr/kOO5Aq6oqP3IcR78cx/FAq6oqPzmOY79VVfVAq6oqPwAAgL+O4/hAq6oqPwAAwH/HcfxA\nq6oqPwAAwH8AAABBq6oqPwAAwH8cxwFBq6oqPwAAwH85jgNBq6oqPwAAwH9VVQVBq6oqPwAA\nwH9yHAdBq6oqPwAAwH+O4whBq6oqPwAAwH+rqgpBq6oqPwAAwH/HcQxBq6oqPwAAwH/kOA5B\nq6oqPwAAwH8AABBBq6oqPwAAwH8cxxFBq6oqPwAAwH85jhNBq6oqPwAAwH9VVRVBq6oqPwAA\nwH9yHBdBq6oqPwAAwH+O4xhBq6oqPwAAwH+rqhpBq6oqPwAAwH/HcRxBq6oqPwAAwH/kOB5B\nq6oqPwAAwH8AACBBq6oqPwAAwH8AAIC/chxHP+Q47kA5jmO/chxHP6uq6kByHEe/chxHP3Ic\n50Crqiq/chxHPzmO40DkOA6/chxHPwAA4EA5juO+chxHP8dx3ECrqqq+chxHP47j2EA5jmO+\nchxHP1VV1UA5juO9chxHPxzH0UAAAAAAchxHP+Q4zkA5juM9chxHP6uqykA5jmM+chxHP3Ic\nx0Crqqo+chxHPzmOw0A5juM+chxHPwAAwEDkOA4/chxHP8dxvECrqio/chxHP47juEByHEc/\nchxHP1VVtUA5jmM/chxHPxzHsUAAAIA/chxHP+Q4rkDkOI4/chxHP6uqqkDHcZw/chxHP3Ic\np0Crqqo/chxHPzmOo0CO47g/chxHPwAAoEByHMc/chxHP8dxnEBVVdU/chxHP47jmEA5juM/\nchxHP1VVlUAcx/E/chxHPxzHkUAAAABAchxHP+Q4jkByHAdAchxHP6uqikDkOA5AchxHP3Ic\nh0BVVRVAchxHPzmOg0DHcRxAchxHPwAAgEA5jiNAchxHP47jeECrqipAchxHPxzHcUAcxzFA\nchxHP6uqakCO4zhAchxHPzmOY0AAAEBAchxHP8dxXEByHEdAchxHP1VVVUDkOE5AchxHP+Q4\nTkBVVVVAchxHP3IcR0DHcVxAchxHPwAAQEA5jmNAchxHP47jOECrqmpAchxHPxzHMUAcx3FA\nchxHP6uqKkCO43hAchxHPzmOI0AAAIBAchxHP8dxHEA5joNAchxHP1VVFUByHIdAchxHP+Q4\nDkCrqopAchxHP3IcB0DkOI5AchxHPwAAAEAcx5FAchxHPxzH8T9VVZVAchxHPzmO4z+O45hA\nchxHP1VV1T/HcZxAchxHP3Icxz8AAKBAchxHP47juD85jqNAchxHP6uqqj9yHKdAchxHP8dx\nnD+rqqpAchxHP+Q4jj/kOK5AchxHPwAAgD8cx7FAchxHPzmOYz9VVbVAchxHP3IcRz+O47hA\nchxHP6uqKj/HcbxAchxHP+Q4Dj8AAMBAchxHPzmO4z45jsNAchxHP6uqqj5yHMdAchxHPzmO\nYz6rqspAchxHPzmO4z3kOM5AchxHPwAAgCYcx9FAchxHPzmO471VVdVAchxHPzmOY76O49hA\nchxHP6uqqr7HcdxAchxHPzmO474AAOBAchxHP+Q4Dr85juNAchxHP6uqKr9yHOdAchxHP3Ic\nR7+rqupAchxHPzmOY7/kOO5AchxHPwAAgL8cx/FAchxHPwAAwH9VVfVAchxHPwAAwH+O4/hA\nchxHPwAAwH/HcfxAchxHPwAAwH8AAABBchxHPwAAwH8cxwFBchxHPwAAwH85jgNBchxHPwAA\nwH9VVQVBchxHPwAAwH9yHAdBchxHPwAAwH+O4whBchxHPwAAwH+rqgpBchxHPwAAwH/HcQxB\nchxHPwAAwH/kOA5BchxHPwAAwH8AABBBchxHPwAAwH8cxxFBchxHPwAAwH85jhNBchxHPwAA\nwH9VVRVBchxHPwAAwH9yHBdBchxHPwAAwH+O4xhBchxHPwAAwH+rqhpBchxHPwAAwH/HcRxB\nchxHPwAAwH/kOB5BchxHPwAAwH8AACBBchxHPwAAwH8AAIC/OY5jP3Ic50A5jmO/OY5jPzmO\n40ByHEe/OY5jPwAA4ECrqiq/OY5jP8dx3EDkOA6/OY5jP47j2EA5juO+OY5jP1VV1UCrqqq+\nOY5jPxzH0UA5jmO+OY5jP+Q4zkA5juO9OY5jP6uqykAAAAAAOY5jP3Icx0A5juM9OY5jPzmO\nw0A5jmM+OY5jPwAAwECrqqo+OY5jP8dxvEA5juM+OY5jP47juEDkOA4/OY5jP1VVtUCrqio/\nOY5jPxzHsUByHEc/OY5jP+Q4rkA5jmM/OY5jP6uqqkAAAIA/OY5jP3Icp0DkOI4/OY5jPzmO\no0DHcZw/OY5jPwAAoECrqqo/OY5jP8dxnECO47g/OY5jP47jmEByHMc/OY5jP1VVlUBVVdU/\nOY5jPxzHkUA5juM/OY5jP+Q4jkAcx/E/OY5jP6uqikAAAABAOY5jP3Ich0ByHAdAOY5jPzmO\ng0DkOA5AOY5jPwAAgEBVVRVAOY5jP47jeEDHcRxAOY5jPxzHcUA5jiNAOY5jP6uqakCrqipA\nOY5jPzmOY0AcxzFAOY5jP8dxXECO4zhAOY5jP1VVVUAAAEBAOY5jP+Q4TkByHEdAOY5jP3Ic\nR0DkOE5AOY5jPwAAQEBVVVVAOY5jP47jOEDHcVxAOY5jPxzHMUA5jmNAOY5jP6uqKkCrqmpA\nOY5jPzmOI0Acx3FAOY5jP8dxHECO43hAOY5jP1VVFUAAAIBAOY5jP+Q4DkA5joNAOY5jP3Ic\nB0ByHIdAOY5jPwAAAECrqopAOY5jPxzH8T/kOI5AOY5jPzmO4z8cx5FAOY5jP1VV1T9VVZVA\nOY5jP3Icxz+O45hAOY5jP47juD/HcZxAOY5jP6uqqj8AAKBAOY5jP8dxnD85jqNAOY5jP+Q4\njj9yHKdAOY5jPwAAgD+rqqpAOY5jPzmOYz/kOK5AOY5jP3IcRz8cx7FAOY5jP6uqKj9VVbVA\nOY5jP+Q4Dj+O47hAOY5jPzmO4z7HcbxAOY5jP6uqqj4AAMBAOY5jPzmOYz45jsNAOY5jPzmO\n4z1yHMdAOY5jPwAAgCarqspAOY5jPzmO473kOM5AOY5jPzmOY74cx9FAOY5jP6uqqr5VVdVA\nOY5jPzmO476O49hAOY5jP+Q4Dr/HcdxAOY5jP6uqKr8AAOBAOY5jP3IcR785juNAOY5jPzmO\nY79yHOdAOY5jPwAAgL+rqupAOY5jPwAAwH/kOO5AOY5jPwAAwH8cx/FAOY5jPwAAwH9VVfVA\nOY5jPwAAwH+O4/hAOY5jPwAAwH/HcfxAOY5jPwAAwH8AAABBOY5jPwAAwH8cxwFBOY5jPwAA\nwH85jgNBOY5jPwAAwH9VVQVBOY5jPwAAwH9yHAdBOY5jPwAAwH+O4whBOY5jPwAAwH+rqgpB\nOY5jPwAAwH/HcQxBOY5jPwAAwH/kOA5BOY5jPwAAwH8AABBBOY5jPwAAwH8cxxFBOY5jPwAA\nwH85jhNBOY5jPwAAwH9VVRVBOY5jPwAAwH9yHBdBOY5jPwAAwH+O4xhBOY5jPwAAwH+rqhpB\nOY5jPwAAwH/HcRxBOY5jPwAAwH/kOB5BOY5jPwAAwH8AACBBOY5jPwAAwH8AAIC/AACAPwAA\n4EA5jmO/AACAP8dx3EByHEe/AACAP47j2ECrqiq/AACAP1VV1UDkOA6/AACAPxzH0UA5juO+\nAACAP+Q4zkCrqqq+AACAP6uqykA5jmO+AACAP3Icx0A5juO9AACAPzmOw0AAAAAAAACAPwAA\nwEA5juM9AACAP8dxvEA5jmM+AACAP47juECrqqo+AACAP1VVtUA5juM+AACAPxzHsUDkOA4/\nAACAP+Q4rkCrqio/AACAP6uqqkByHEc/AACAP3Icp0A5jmM/AACAPzmOo0AAAIA/AACAPwAA\noEDkOI4/AACAP8dxnEDHcZw/AACAP47jmECrqqo/AACAP1VVlUCO47g/AACAPxzHkUByHMc/\nAACAP+Q4jkBVVdU/AACAP6uqikA5juM/AACAP3Ich0Acx/E/AACAPzmOg0AAAABAAACAPwAA\ngEByHAdAAACAP47jeEDkOA5AAACAPxzHcUBVVRVAAACAP6uqakDHcRxAAACAPzmOY0A5jiNA\nAACAP8dxXECrqipAAACAP1VVVUAcxzFAAACAP+Q4TkCO4zhAAACAP3IcR0AAAEBAAACAPwAA\nQEByHEdAAACAP47jOEDkOE5AAACAPxzHMUBVVVVAAACAP6uqKkDHcVxAAACAPzmOI0A5jmNA\nAACAP8dxHECrqmpAAACAP1VVFUAcx3FAAACAP+Q4DkCO43hAAACAP3IcB0AAAIBAAACAPwAA\nAEA5joNAAACAPxzH8T9yHIdAAACAPzmO4z+rqopAAACAP1VV1T/kOI5AAACAP3Icxz8cx5FA\nAACAP47juD9VVZVAAACAP6uqqj+O45hAAACAP8dxnD/HcZxAAACAP+Q4jj8AAKBAAACAPwAA\ngD85jqNAAACAPzmOYz9yHKdAAACAP3IcRz+rqqpAAACAP6uqKj/kOK5AAACAP+Q4Dj8cx7FA\nAACAPzmO4z5VVbVAAACAP6uqqj6O47hAAACAPzmOYz7HcbxAAACAPzmO4z0AAMBAAACAPwAA\nAAA5jsNAAACAPzmO471yHMdAAACAPzmOY76rqspAAACAP6uqqr7kOM5AAACAPzmO474cx9FA\nAACAP+Q4Dr9VVdVAAACAP6uqKr+O49hAAACAP3IcR7/HcdxAAACAPzmOY78AAOBAAACAPwAA\ngL85juNAAACAPwAAwH9yHOdAAACAPwAAwH+rqupAAACAPwAAwH/kOO5AAACAPwAAwH8cx/FA\nAACAPwAAwH9VVfVAAACAPwAAwH+O4/hAAACAPwAAwH/HcfxAAACAPwAAwH8AAABBAACAPwAA\nwH8cxwFBAACAPwAAwH85jgNBAACAPwAAwH9VVQVBAACAPwAAwH9yHAdBAACAPwAAwH+O4whB\nAACAPwAAwH+rqgpBAACAPwAAwH/HcQxBAACAPwAAwH/kOA5BAACAPwAAwH8AABBBAACAPwAA\nwH8cxxFBAACAPwAAwH85jhNBAACAPwAAwH9VVRVBAACAPwAAwH9yHBdBAACAPwAAwH+O4xhB\nAACAPwAAwH+rqhpBAACAPwAAwH/HcRxBAACAPwAAwH/kOB5BAACAPwAAwH8AACBBAACAPwAA\nwH8AAIC/5DiOP47j2EA5jmO/5DiOP1VV1UByHEe/5DiOPxzH0UCrqiq/5DiOP+Q4zkDkOA6/\n5DiOP6uqykA5juO+5DiOP3Icx0Crqqq+5DiOPzmOw0A5jmO+5DiOPwAAwEA5juO95DiOP8dx\nvEAAAAAA5DiOP47juEA5juM95DiOP1VVtUA5jmM+5DiOPxzHsUCrqqo+5DiOP+Q4rkA5juM+\n5DiOP6uqqkDkOA4/5DiOP3Icp0Crqio/5DiOPzmOo0ByHEc/5DiOPwAAoEA5jmM/5DiOP8dx\nnEAAAIA/5DiOP47jmEDkOI4/5DiOP1VVlUDHcZw/5DiOPxzHkUCrqqo/5DiOP+Q4jkCO47g/\n5DiOP6uqikByHMc/5DiOP3Ich0BVVdU/5DiOPzmOg0A5juM/5DiOPwAAgEAcx/E/5DiOP47j\neEAAAABA5DiOPxzHcUByHAdA5DiOP6uqakDkOA5A5DiOPzmOY0BVVRVA5DiOP8dxXEDHcRxA\n5DiOP1VVVUA5jiNA5DiOP+Q4TkCrqipA5DiOP3IcR0AcxzFA5DiOPwAAQECO4zhA5DiOP47j\nOEAAAEBA5DiOPxzHMUByHEdA5DiOP6uqKkDkOE5A5DiOPzmOI0BVVVVA5DiOP8dxHEDHcVxA\n5DiOP1VVFUA5jmNA5DiOP+Q4DkCrqmpA5DiOP3IcB0Acx3FA5DiOPwAAAECO43hA5DiOPxzH\n8T8AAIBA5DiOPzmO4z85joNA5DiOP1VV1T9yHIdA5DiOP3Icxz+rqopA5DiOP47juD/kOI5A\n5DiOP6uqqj8cx5FA5DiOP8dxnD9VVZVA5DiOP+Q4jj+O45hA5DiOPwAAgD/HcZxA5DiOPzmO\nYz8AAKBA5DiOP3IcRz85jqNA5DiOP6uqKj9yHKdA5DiOP+Q4Dj+rqqpA5DiOPzmO4z7kOK5A\n5DiOP6uqqj4cx7FA5DiOPzmOYz5VVbVA5DiOPzmO4z2O47hA5DiOPwAAAADHcbxA5DiOPzmO\n470AAMBA5DiOPzmOY745jsNA5DiOP6uqqr5yHMdA5DiOPzmO476rqspA5DiOP+Q4Dr/kOM5A\n5DiOP6uqKr8cx9FA5DiOP3IcR79VVdVA5DiOPzmOY7+O49hA5DiOPwAAgL/HcdxA5DiOPwAA\nwH8AAOBA5DiOPwAAwH85juNA5DiOPwAAwH9yHOdA5DiOPwAAwH+rqupA5DiOPwAAwH/kOO5A\n5DiOPwAAwH8cx/FA5DiOPwAAwH9VVfVA5DiOPwAAwH+O4/hA5DiOPwAAwH/HcfxA5DiOPwAA\nwH8AAABB5DiOPwAAwH8cxwFB5DiOPwAAwH85jgNB5DiOPwAAwH9VVQVB5DiOPwAAwH9yHAdB\n5DiOPwAAwH+O4whB5DiOPwAAwH+rqgpB5DiOPwAAwH/HcQxB5DiOPwAAwH/kOA5B5DiOPwAA\nwH8AABBB5DiOPwAAwH8cxxFB5DiOPwAAwH85jhNB5DiOPwAAwH9VVRVB5DiOPwAAwH9yHBdB\n5DiOPwAAwH+O4xhB5DiOPwAAwH+rqhpB5DiOPwAAwH/HcRxB5DiOPwAAwH/kOB5B5DiOPwAA\nwH8AACBB5DiOPwAAwH8AAIC/x3GcPxzH0UA5jmO/x3GcP+Q4zkByHEe/x3GcP6uqykCrqiq/\nx3GcP3Icx0DkOA6/x3GcPzmOw0A5juO+x3GcPwAAwECrqqq+x3GcP8dxvEA5jmO+x3GcP47j\nuEA5juO9x3GcP1VVtUAAAAAAx3GcPxzHsUA5juM9x3GcP+Q4rkA5jmM+x3GcP6uqqkCrqqo+\nx3GcP3Icp0A5juM+x3GcPzmOo0DkOA4/x3GcPwAAoECrqio/x3GcP8dxnEByHEc/x3GcP47j\nmEA5jmM/x3GcP1VVlUAAAIA/x3GcPxzHkUDkOI4/x3GcP+Q4jkDHcZw/x3GcP6uqikCrqqo/\nx3GcP3Ich0CO47g/x3GcPzmOg0ByHMc/x3GcPwAAgEBVVdU/x3GcP47jeEA5juM/x3GcPxzH\ncUAcx/E/x3GcP6uqakAAAABAx3GcPzmOY0ByHAdAx3GcP8dxXEDkOA5Ax3GcP1VVVUBVVRVA\nx3GcP+Q4TkDHcRxAx3GcP3IcR0A5jiNAx3GcPwAAQECrqipAx3GcP47jOEAcxzFAx3GcPxzH\nMUCO4zhAx3GcP6uqKkAAAEBAx3GcPzmOI0ByHEdAx3GcP8dxHEDkOE5Ax3GcP1VVFUBVVVVA\nx3GcP+Q4DkDHcVxAx3GcP3IcB0A5jmNAx3GcPwAAAECrqmpAx3GcPxzH8T8cx3FAx3GcPzmO\n4z+O43hAx3GcP1VV1T8AAIBAx3GcP3Icxz85joNAx3GcP47juD9yHIdAx3GcP6uqqj+rqopA\nx3GcP8dxnD/kOI5Ax3GcP+Q4jj8cx5FAx3GcPwAAgD9VVZVAx3GcPzmOYz+O45hAx3GcP3Ic\nRz/HcZxAx3GcP6uqKj8AAKBAx3GcP+Q4Dj85jqNAx3GcPzmO4z5yHKdAx3GcP6uqqj6rqqpA\nx3GcPzmOYz7kOK5Ax3GcPzmO4z0cx7FAx3GcPwAAAABVVbVAx3GcPzmO472O47hAx3GcPzmO\nY77HcbxAx3GcP6uqqr4AAMBAx3GcPzmO4745jsNAx3GcP+Q4Dr9yHMdAx3GcP6uqKr+rqspA\nx3GcP3IcR7/kOM5Ax3GcPzmOY78cx9FAx3GcPwAAgL9VVdVAx3GcPwAAwH+O49hAx3GcPwAA\nwH/HcdxAx3GcPwAAwH8AAOBAx3GcPwAAwH85juNAx3GcPwAAwH9yHOdAx3GcPwAAwH+rqupA\nx3GcPwAAwH/kOO5Ax3GcPwAAwH8cx/FAx3GcPwAAwH9VVfVAx3GcPwAAwH+O4/hAx3GcPwAA\nwH/HcfxAx3GcPwAAwH8AAABBx3GcPwAAwH8cxwFBx3GcPwAAwH85jgNBx3GcPwAAwH9VVQVB\nx3GcPwAAwH9yHAdBx3GcPwAAwH+O4whBx3GcPwAAwH+rqgpBx3GcPwAAwH/HcQxBx3GcPwAA\nwH/kOA5Bx3GcPwAAwH8AABBBx3GcPwAAwH8cxxFBx3GcPwAAwH85jhNBx3GcPwAAwH9VVRVB\nx3GcPwAAwH9yHBdBx3GcPwAAwH+O4xhBx3GcPwAAwH+rqhpBx3GcPwAAwH/HcRxBx3GcPwAA\nwH/kOB5Bx3GcPwAAwH8AACBBx3GcPwAAwH8AAIC/q6qqP6uqykA5jmO/q6qqP3Icx0ByHEe/\nq6qqPzmOw0Crqiq/q6qqPwAAwEDkOA6/q6qqP8dxvEA5juO+q6qqP47juECrqqq+q6qqP1VV\ntUA5jmO+q6qqPxzHsUA5juO9q6qqP+Q4rkAAAAAAq6qqP6uqqkA5juM9q6qqP3Icp0A5jmM+\nq6qqPzmOo0Crqqo+q6qqPwAAoEA5juM+q6qqP8dxnEDkOA4/q6qqP47jmECrqio/q6qqP1VV\nlUByHEc/q6qqPxzHkUA5jmM/q6qqP+Q4jkAAAIA/q6qqP6uqikDkOI4/q6qqP3Ich0DHcZw/\nq6qqPzmOg0Crqqo/q6qqPwAAgECO47g/q6qqP47jeEByHMc/q6qqPxzHcUBVVdU/q6qqP6uq\nakA5juM/q6qqPzmOY0Acx/E/q6qqP8dxXEAAAABAq6qqP1VVVUByHAdAq6qqP+Q4TkDkOA5A\nq6qqP3IcR0BVVRVAq6qqPwAAQEDHcRxAq6qqP47jOEA5jiNAq6qqPxzHMUCrqipAq6qqP6uq\nKkAcxzFAq6qqPzmOI0CO4zhAq6qqP8dxHEAAAEBAq6qqP1VVFUByHEdAq6qqP+Q4DkDkOE5A\nq6qqP3IcB0BVVVVAq6qqPwAAAEDHcVxAq6qqPxzH8T85jmNAq6qqPzmO4z+rqmpAq6qqP1VV\n1T8cx3FAq6qqP3Icxz+O43hAq6qqP47juD8AAIBAq6qqP6uqqj85joNAq6qqP8dxnD9yHIdA\nq6qqP+Q4jj+rqopAq6qqPwAAgD/kOI5Aq6qqPzmOYz8cx5FAq6qqP3IcRz9VVZVAq6qqP6uq\nKj+O45hAq6qqP+Q4Dj/HcZxAq6qqPzmO4z4AAKBAq6qqP6uqqj45jqNAq6qqPzmOYz5yHKdA\nq6qqPzmO4z2rqqpAq6qqPwAAgCbkOK5Aq6qqPzmO470cx7FAq6qqPzmOY75VVbVAq6qqP6uq\nqr6O47hAq6qqPzmO477HcbxAq6qqP+Q4Dr8AAMBAq6qqP6uqKr85jsNAq6qqP3IcR79yHMdA\nq6qqPzmOY7+rqspAq6qqPwAAgL/kOM5Aq6qqPwAAwH8cx9FAq6qqPwAAwH9VVdVAq6qqPwAA\nwH+O49hAq6qqPwAAwH/HcdxAq6qqPwAAwH8AAOBAq6qqPwAAwH85juNAq6qqPwAAwH9yHOdA\nq6qqPwAAwH+rqupAq6qqPwAAwH/kOO5Aq6qqPwAAwH8cx/FAq6qqPwAAwH9VVfVAq6qqPwAA\nwH+O4/hAq6qqPwAAwH/HcfxAq6qqPwAAwH8AAABBq6qqPwAAwH8cxwFBq6qqPwAAwH85jgNB\nq6qqPwAAwH9VVQVBq6qqPwAAwH9yHAdBq6qqPwAAwH+O4whBq6qqPwAAwH+rqgpBq6qqPwAA\nwH/HcQxBq6qqPwAAwH/kOA5Bq6qqPwAAwH8AABBBq6qqPwAAwH8cxxFBq6qqPwAAwH85jhNB\nq6qqPwAAwH9VVRVBq6qqPwAAwH9yHBdBq6qqPwAAwH+O4xhBq6qqPwAAwH+rqhpBq6qqPwAA\nwH/HcRxBq6qqPwAAwH/kOB5Bq6qqPwAAwH8AACBBq6qqPwAAwH8AAIC/juO4PzmOw0A5jmO/\njuO4PwAAwEByHEe/juO4P8dxvECrqiq/juO4P47juEDkOA6/juO4P1VVtUA5juO+juO4PxzH\nsUCrqqq+juO4P+Q4rkA5jmO+juO4P6uqqkA5juO9juO4P3Icp0AAAAAAjuO4PzmOo0A5juM9\njuO4PwAAoEA5jmM+juO4P8dxnECrqqo+juO4P47jmEA5juM+juO4P1VVlUDkOA4/juO4PxzH\nkUCrqio/juO4P+Q4jkByHEc/juO4P6uqikA5jmM/juO4P3Ich0AAAIA/juO4PzmOg0DkOI4/\njuO4PwAAgEDHcZw/juO4P47jeECrqqo/juO4PxzHcUCO47g/juO4P6uqakByHMc/juO4PzmO\nY0BVVdU/juO4P8dxXEA5juM/juO4P1VVVUAcx/E/juO4P+Q4TkAAAABAjuO4P3IcR0ByHAdA\njuO4PwAAQEDkOA5AjuO4P47jOEBVVRVAjuO4PxzHMUDHcRxAjuO4P6uqKkA5jiNAjuO4PzmO\nI0CrqipAjuO4P8dxHEAcxzFAjuO4P1VVFUCO4zhAjuO4P+Q4DkAAAEBAjuO4P3IcB0ByHEdA\njuO4PwAAAEDkOE5AjuO4PxzH8T9VVVVAjuO4PzmO4z/HcVxAjuO4P1VV1T85jmNAjuO4P3Ic\nxz+rqmpAjuO4P47juD8cx3FAjuO4P6uqqj+O43hAjuO4P8dxnD8AAIBAjuO4P+Q4jj85joNA\njuO4PwAAgD9yHIdAjuO4PzmOYz+rqopAjuO4P3IcRz/kOI5AjuO4P6uqKj8cx5FAjuO4P+Q4\nDj9VVZVAjuO4PzmO4z6O45hAjuO4P6uqqj7HcZxAjuO4PzmOYz4AAKBAjuO4PzmO4z05jqNA\njuO4PwAAgCZyHKdAjuO4PzmO472rqqpAjuO4PzmOY77kOK5AjuO4P6uqqr4cx7FAjuO4PzmO\n475VVbVAjuO4P+Q4Dr+O47hAjuO4P6uqKr/HcbxAjuO4P3IcR78AAMBAjuO4PzmOY785jsNA\njuO4PwAAgL9yHMdAjuO4PwAAwH+rqspAjuO4PwAAwH/kOM5AjuO4PwAAwH8cx9FAjuO4PwAA\nwH9VVdVAjuO4PwAAwH+O49hAjuO4PwAAwH/HcdxAjuO4PwAAwH8AAOBAjuO4PwAAwH85juNA\njuO4PwAAwH9yHOdAjuO4PwAAwH+rqupAjuO4PwAAwH/kOO5AjuO4PwAAwH8cx/FAjuO4PwAA\nwH9VVfVAjuO4PwAAwH+O4/hAjuO4PwAAwH/HcfxAjuO4PwAAwH8AAABBjuO4PwAAwH8cxwFB\njuO4PwAAwH85jgNBjuO4PwAAwH9VVQVBjuO4PwAAwH9yHAdBjuO4PwAAwH+O4whBjuO4PwAA\nwH+rqgpBjuO4PwAAwH/HcQxBjuO4PwAAwH/kOA5BjuO4PwAAwH8AABBBjuO4PwAAwH8cxxFB\njuO4PwAAwH85jhNBjuO4PwAAwH9VVRVBjuO4PwAAwH9yHBdBjuO4PwAAwH+O4xhBjuO4PwAA\nwH+rqhpBjuO4PwAAwH/HcRxBjuO4PwAAwH/kOB5BjuO4PwAAwH8AACBBjuO4PwAAwH8AAIC/\nchzHP8dxvEA5jmO/chzHP47juEByHEe/chzHP1VVtUCrqiq/chzHPxzHsUDkOA6/chzHP+Q4\nrkA5juO+chzHP6uqqkCrqqq+chzHP3Icp0A5jmO+chzHPzmOo0A5juO9chzHPwAAoEAAAAAA\nchzHP8dxnEA5juM9chzHP47jmEA5jmM+chzHP1VVlUCrqqo+chzHPxzHkUA5juM+chzHP+Q4\njkDkOA4/chzHP6uqikCrqio/chzHP3Ich0ByHEc/chzHPzmOg0A5jmM/chzHPwAAgEAAAIA/\nchzHP47jeEDkOI4/chzHPxzHcUDHcZw/chzHP6uqakCrqqo/chzHPzmOY0CO47g/chzHP8dx\nXEByHMc/chzHP1VVVUBVVdU/chzHP+Q4TkA5juM/chzHP3IcR0Acx/E/chzHPwAAQEAAAABA\nchzHP47jOEByHAdAchzHPxzHMUDkOA5AchzHP6uqKkBVVRVAchzHPzmOI0DHcRxAchzHP8dx\nHEA5jiNAchzHP1VVFUCrqipAchzHP+Q4DkAcxzFAchzHP3IcB0CO4zhAchzHPwAAAEAAAEBA\nchzHPxzH8T9yHEdAchzHPzmO4z/kOE5AchzHP1VV1T9VVVVAchzHP3Icxz/HcVxAchzHP47j\nuD85jmNAchzHP6uqqj+rqmpAchzHP8dxnD8cx3FAchzHP+Q4jj+O43hAchzHPwAAgD8AAIBA\nchzHPzmOYz85joNAchzHP3IcRz9yHIdAchzHP6uqKj+rqopAchzHP+Q4Dj/kOI5AchzHPzmO\n4z4cx5FAchzHP6uqqj5VVZVAchzHPzmOYz6O45hAchzHPzmO4z3HcZxAchzHPwAAgCYAAKBA\nchzHPzmO4705jqNAchzHPzmOY75yHKdAchzHP6uqqr6rqqpAchzHPzmO477kOK5AchzHP+Q4\nDr8cx7FAchzHP6uqKr9VVbVAchzHP3IcR7+O47hAchzHPzmOY7/HcbxAchzHPwAAgL8AAMBA\nchzHPwAAwH85jsNAchzHPwAAwH9yHMdAchzHPwAAwH+rqspAchzHPwAAwH/kOM5AchzHPwAA\nwH8cx9FAchzHPwAAwH9VVdVAchzHPwAAwH+O49hAchzHPwAAwH/HcdxAchzHPwAAwH8AAOBA\nchzHPwAAwH85juNAchzHPwAAwH9yHOdAchzHPwAAwH+rqupAchzHPwAAwH/kOO5AchzHPwAA\nwH8cx/FAchzHPwAAwH9VVfVAchzHPwAAwH+O4/hAchzHPwAAwH/HcfxAchzHPwAAwH8AAABB\nchzHPwAAwH8cxwFBchzHPwAAwH85jgNBchzHPwAAwH9VVQVBchzHPwAAwH9yHAdBchzHPwAA\nwH+O4whBchzHPwAAwH+rqgpBchzHPwAAwH/HcQxBchzHPwAAwH/kOA5BchzHPwAAwH8AABBB\nchzHPwAAwH8cxxFBchzHPwAAwH85jhNBchzHPwAAwH9VVRVBchzHPwAAwH9yHBdBchzHPwAA\nwH+O4xhBchzHPwAAwH+rqhpBchzHPwAAwH/HcRxBchzHPwAAwH/kOB5BchzHPwAAwH8AACBB\nchzHPwAAwH8AAIC/VVXVP1VVtUA5jmO/VVXVPxzHsUByHEe/VVXVP+Q4rkCrqiq/VVXVP6uq\nqkDkOA6/VVXVP3Icp0A5juO+VVXVPzmOo0Crqqq+VVXVPwAAoEA5jmO+VVXVP8dxnEA5juO9\nVVXVP47jmEAAAAAAVVXVP1VVlUA5juM9VVXVPxzHkUA5jmM+VVXVP+Q4jkCrqqo+VVXVP6uq\nikA5juM+VVXVP3Ich0DkOA4/VVXVPzmOg0Crqio/VVXVPwAAgEByHEc/VVXVP47jeEA5jmM/\nVVXVPxzHcUAAAIA/VVXVP6uqakDkOI4/VVXVPzmOY0DHcZw/VVXVP8dxXECrqqo/VVXVP1VV\nVUCO47g/VVXVP+Q4TkByHMc/VVXVP3IcR0BVVdU/VVXVPwAAQEA5juM/VVXVP47jOEAcx/E/\nVVXVPxzHMUAAAABAVVXVP6uqKkByHAdAVVXVPzmOI0DkOA5AVVXVP8dxHEBVVRVAVVXVP1VV\nFUDHcRxAVVXVP+Q4DkA5jiNAVVXVP3IcB0CrqipAVVXVPwAAAEAcxzFAVVXVPxzH8T+O4zhA\nVVXVPzmO4z8AAEBAVVXVP1VV1T9yHEdAVVXVP3Icxz/kOE5AVVXVP47juD9VVVVAVVXVP6uq\nqj/HcVxAVVXVP8dxnD85jmNAVVXVP+Q4jj+rqmpAVVXVPwAAgD8cx3FAVVXVPzmOYz+O43hA\nVVXVP3IcRz8AAIBAVVXVP6uqKj85joNAVVXVP+Q4Dj9yHIdAVVXVPzmO4z6rqopAVVXVP6uq\nqj7kOI5AVVXVPzmOYz4cx5FAVVXVPzmO4z1VVZVAVVXVPwAAgCaO45hAVVXVPzmO473HcZxA\nVVXVPzmOY74AAKBAVVXVP6uqqr45jqNAVVXVPzmO475yHKdAVVXVP+Q4Dr+rqqpAVVXVP6uq\nKr/kOK5AVVXVP3IcR78cx7FAVVXVPzmOY79VVbVAVVXVPwAAgL+O47hAVVXVPwAAwH/HcbxA\nVVXVPwAAwH8AAMBAVVXVPwAAwH85jsNAVVXVPwAAwH9yHMdAVVXVPwAAwH+rqspAVVXVPwAA\nwH/kOM5AVVXVPwAAwH8cx9FAVVXVPwAAwH9VVdVAVVXVPwAAwH+O49hAVVXVPwAAwH/HcdxA\nVVXVPwAAwH8AAOBAVVXVPwAAwH85juNAVVXVPwAAwH9yHOdAVVXVPwAAwH+rqupAVVXVPwAA\nwH/kOO5AVVXVPwAAwH8cx/FAVVXVPwAAwH9VVfVAVVXVPwAAwH+O4/hAVVXVPwAAwH/HcfxA\nVVXVPwAAwH8AAABBVVXVPwAAwH8cxwFBVVXVPwAAwH85jgNBVVXVPwAAwH9VVQVBVVXVPwAA\nwH9yHAdBVVXVPwAAwH+O4whBVVXVPwAAwH+rqgpBVVXVPwAAwH/HcQxBVVXVPwAAwH/kOA5B\nVVXVPwAAwH8AABBBVVXVPwAAwH8cxxFBVVXVPwAAwH85jhNBVVXVPwAAwH9VVRVBVVXVPwAA\nwH9yHBdBVVXVPwAAwH+O4xhBVVXVPwAAwH+rqhpBVVXVPwAAwH/HcRxBVVXVPwAAwH/kOB5B\nVVXVPwAAwH8AACBBVVXVPwAAwH8AAIC/OY7jP+Q4rkA5jmO/OY7jP6uqqkByHEe/OY7jP3Ic\np0Crqiq/OY7jPzmOo0DkOA6/OY7jPwAAoEA5juO+OY7jP8dxnECrqqq+OY7jP47jmEA5jmO+\nOY7jP1VVlUA5juO9OY7jPxzHkUAAAAAAOY7jP+Q4jkA5juM9OY7jP6uqikA5jmM+OY7jP3Ic\nh0Crqqo+OY7jPzmOg0A5juM+OY7jPwAAgEDkOA4/OY7jP47jeECrqio/OY7jPxzHcUByHEc/\nOY7jP6uqakA5jmM/OY7jPzmOY0AAAIA/OY7jP8dxXEDkOI4/OY7jP1VVVUDHcZw/OY7jP+Q4\nTkCrqqo/OY7jP3IcR0CO47g/OY7jPwAAQEByHMc/OY7jP47jOEBVVdU/OY7jPxzHMUA5juM/\nOY7jP6uqKkAcx/E/OY7jPzmOI0AAAABAOY7jP8dxHEByHAdAOY7jP1VVFUDkOA5AOY7jP+Q4\nDkBVVRVAOY7jP3IcB0DHcRxAOY7jPwAAAEA5jiNAOY7jPxzH8T+rqipAOY7jPzmO4z8cxzFA\nOY7jP1VV1T+O4zhAOY7jP3Icxz8AAEBAOY7jP47juD9yHEdAOY7jP6uqqj/kOE5AOY7jP8dx\nnD9VVVVAOY7jP+Q4jj/HcVxAOY7jPwAAgD85jmNAOY7jPzmOYz+rqmpAOY7jP3IcRz8cx3FA\nOY7jP6uqKj+O43hAOY7jP+Q4Dj8AAIBAOY7jPzmO4z45joNAOY7jP6uqqj5yHIdAOY7jPzmO\nYz6rqopAOY7jPzmO4z3kOI5AOY7jPwAAgCYcx5FAOY7jPzmO471VVZVAOY7jPzmOY76O45hA\nOY7jP6uqqr7HcZxAOY7jPzmO474AAKBAOY7jP+Q4Dr85jqNAOY7jP6uqKr9yHKdAOY7jP3Ic\nR7+rqqpAOY7jPzmOY7/kOK5AOY7jPwAAgL8cx7FAOY7jPwAAwH9VVbVAOY7jPwAAwH+O47hA\nOY7jPwAAwH/HcbxAOY7jPwAAwH8AAMBAOY7jPwAAwH85jsNAOY7jPwAAwH9yHMdAOY7jPwAA\nwH+rqspAOY7jPwAAwH/kOM5AOY7jPwAAwH8cx9FAOY7jPwAAwH9VVdVAOY7jPwAAwH+O49hA\nOY7jPwAAwH/HcdxAOY7jPwAAwH8AAOBAOY7jPwAAwH85juNAOY7jPwAAwH9yHOdAOY7jPwAA\nwH+rqupAOY7jPwAAwH/kOO5AOY7jPwAAwH8cx/FAOY7jPwAAwH9VVfVAOY7jPwAAwH+O4/hA\nOY7jPwAAwH/HcfxAOY7jPwAAwH8AAABBOY7jPwAAwH8cxwFBOY7jPwAAwH85jgNBOY7jPwAA\nwH9VVQVBOY7jPwAAwH9yHAdBOY7jPwAAwH+O4whBOY7jPwAAwH+rqgpBOY7jPwAAwH/HcQxB\nOY7jPwAAwH/kOA5BOY7jPwAAwH8AABBBOY7jPwAAwH8cxxFBOY7jPwAAwH85jhNBOY7jPwAA\nwH9VVRVBOY7jPwAAwH9yHBdBOY7jPwAAwH+O4xhBOY7jPwAAwH+rqhpBOY7jPwAAwH/HcRxB\nOY7jPwAAwH/kOB5BOY7jPwAAwH8AACBBOY7jPwAAwH8AAIC/HMfxP3Icp0A5jmO/HMfxPzmO\no0ByHEe/HMfxPwAAoECrqiq/HMfxP8dxnEDkOA6/HMfxP47jmEA5juO+HMfxP1VVlUCrqqq+\nHMfxPxzHkUA5jmO+HMfxP+Q4jkA5juO9HMfxP6uqikAAAAAAHMfxP3Ich0A5juM9HMfxPzmO\ng0A5jmM+HMfxPwAAgECrqqo+HMfxP47jeEA5juM+HMfxPxzHcUDkOA4/HMfxP6uqakCrqio/\nHMfxPzmOY0ByHEc/HMfxP8dxXEA5jmM/HMfxP1VVVUAAAIA/HMfxP+Q4TkDkOI4/HMfxP3Ic\nR0DHcZw/HMfxPwAAQECrqqo/HMfxP47jOECO47g/HMfxPxzHMUByHMc/HMfxP6uqKkBVVdU/\nHMfxPzmOI0A5juM/HMfxP8dxHEAcx/E/HMfxP1VVFUAAAABAHMfxP+Q4DkByHAdAHMfxP3Ic\nB0DkOA5AHMfxPwAAAEBVVRVAHMfxPxzH8T/HcRxAHMfxPzmO4z85jiNAHMfxP1VV1T+rqipA\nHMfxP3Icxz8cxzFAHMfxP47juD+O4zhAHMfxP6uqqj8AAEBAHMfxP8dxnD9yHEdAHMfxP+Q4\njj/kOE5AHMfxPwAAgD9VVVVAHMfxPzmOYz/HcVxAHMfxP3IcRz85jmNAHMfxP6uqKj+rqmpA\nHMfxP+Q4Dj8cx3FAHMfxPzmO4z6O43hAHMfxP6uqqj4AAIBAHMfxPzmOYz45joNAHMfxPzmO\n4z1yHIdAHMfxPwAAAACrqopAHMfxPzmO473kOI5AHMfxPzmOY74cx5FAHMfxP6uqqr5VVZVA\nHMfxPzmO476O45hAHMfxP+Q4Dr/HcZxAHMfxP6uqKr8AAKBAHMfxP3IcR785jqNAHMfxPzmO\nY79yHKdAHMfxPwAAgL+rqqpAHMfxPwAAwH/kOK5AHMfxPwAAwH8cx7FAHMfxPwAAwH9VVbVA\nHMfxPwAAwH+O47hAHMfxPwAAwH/HcbxAHMfxPwAAwH8AAMBAHMfxPwAAwH85jsNAHMfxPwAA\nwH9yHMdAHMfxPwAAwH+rqspAHMfxPwAAwH/kOM5AHMfxPwAAwH8cx9FAHMfxPwAAwH9VVdVA\nHMfxPwAAwH+O49hAHMfxPwAAwH/HcdxAHMfxPwAAwH8AAOBAHMfxPwAAwH85juNAHMfxPwAA\nwH9yHOdAHMfxPwAAwH+rqupAHMfxPwAAwH/kOO5AHMfxPwAAwH8cx/FAHMfxPwAAwH9VVfVA\nHMfxPwAAwH+O4/hAHMfxPwAAwH/HcfxAHMfxPwAAwH8AAABBHMfxPwAAwH8cxwFBHMfxPwAA\nwH85jgNBHMfxPwAAwH9VVQVBHMfxPwAAwH9yHAdBHMfxPwAAwH+O4whBHMfxPwAAwH+rqgpB\nHMfxPwAAwH/HcQxBHMfxPwAAwH/kOA5BHMfxPwAAwH8AABBBHMfxPwAAwH8cxxFBHMfxPwAA\nwH85jhNBHMfxPwAAwH9VVRVBHMfxPwAAwH9yHBdBHMfxPwAAwH+O4xhBHMfxPwAAwH+rqhpB\nHMfxPwAAwH/HcRxBHMfxPwAAwH/kOB5BHMfxPwAAwH8AACBBHMfxPwAAwH8AAIC/AAAAQAAA\noEA5jmO/AAAAQMdxnEByHEe/AAAAQI7jmECrqiq/AAAAQFVVlUDkOA6/AAAAQBzHkUA5juO+\nAAAAQOQ4jkCrqqq+AAAAQKuqikA5jmO+AAAAQHIch0A5juO9AAAAQDmOg0AAAAAAAAAAQAAA\ngEA5juM9AAAAQI7jeEA5jmM+AAAAQBzHcUCrqqo+AAAAQKuqakA5juM+AAAAQDmOY0DkOA4/\nAAAAQMdxXECrqio/AAAAQFVVVUByHEc/AAAAQOQ4TkA5jmM/AAAAQHIcR0AAAIA/AAAAQAAA\nQEDkOI4/AAAAQI7jOEDHcZw/AAAAQBzHMUCrqqo/AAAAQKuqKkCO47g/AAAAQDmOI0ByHMc/\nAAAAQMdxHEBVVdU/AAAAQFVVFUA5juM/AAAAQOQ4DkAcx/E/AAAAQHIcB0AAAABAAAAAQAAA\nAEByHAdAAAAAQBzH8T/kOA5AAAAAQDmO4z9VVRVAAAAAQFVV1T/HcRxAAAAAQHIcxz85jiNA\nAAAAQI7juD+rqipAAAAAQKuqqj8cxzFAAAAAQMdxnD+O4zhAAAAAQOQ4jj8AAEBAAAAAQAAA\ngD9yHEdAAAAAQDmOYz/kOE5AAAAAQHIcRz9VVVVAAAAAQKuqKj/HcVxAAAAAQOQ4Dj85jmNA\nAAAAQDmO4z6rqmpAAAAAQKuqqj4cx3FAAAAAQDmOYz6O43hAAAAAQDmO4z0AAIBAAAAAQAAA\nAAA5joNAAAAAQDmO471yHIdAAAAAQDmOY76rqopAAAAAQKuqqr7kOI5AAAAAQDmO474cx5FA\nAAAAQOQ4Dr9VVZVAAAAAQKuqKr+O45hAAAAAQHIcR7/HcZxAAAAAQDmOY78AAKBAAAAAQAAA\ngL85jqNAAAAAQAAAwH9yHKdAAAAAQAAAwH+rqqpAAAAAQAAAwH/kOK5AAAAAQAAAwH8cx7FA\nAAAAQAAAwH9VVbVAAAAAQAAAwH+O47hAAAAAQAAAwH/HcbxAAAAAQAAAwH8AAMBAAAAAQAAA\nwH85jsNAAAAAQAAAwH9yHMdAAAAAQAAAwH+rqspAAAAAQAAAwH/kOM5AAAAAQAAAwH8cx9FA\nAAAAQAAAwH9VVdVAAAAAQAAAwH+O49hAAAAAQAAAwH/HcdxAAAAAQAAAwH8AAOBAAAAAQAAA\nwH85juNAAAAAQAAAwH9yHOdAAAAAQAAAwH+rqupAAAAAQAAAwH/kOO5AAAAAQAAAwH8cx/FA\nAAAAQAAAwH9VVfVAAAAAQAAAwH+O4/hAAAAAQAAAwH/HcfxAAAAAQAAAwH8AAABBAAAAQAAA\nwH8cxwFBAAAAQAAAwH85jgNBAAAAQAAAwH9VVQVBAAAAQAAAwH9yHAdBAAAAQAAAwH+O4whB\nAAAAQAAAwH+rqgpBAAAAQAAAwH/HcQxBAAAAQAAAwH/kOA5BAAAAQAAAwH8AABBBAAAAQAAA\nwH8cxxFBAAAAQAAAwH85jhNBAAAAQAAAwH9VVRVBAAAAQAAAwH9yHBdBAAAAQAAAwH+O4xhB\nAAAAQAAAwH+rqhpBAAAAQAAAwH/HcRxBAAAAQAAAwH/kOB5BAAAAQAAAwH8AACBBAAAAQAAA\nwH8AAIC/chwHQI7jmEA5jmO/chwHQFVVlUByHEe/chwHQBzHkUCrqiq/chwHQOQ4jkDkOA6/\nchwHQKuqikA5juO+chwHQHIch0Crqqq+chwHQDmOg0A5jmO+chwHQAAAgEA5juO9chwHQI7j\neEAAAAAAchwHQBzHcUA5juM9chwHQKuqakA5jmM+chwHQDmOY0Crqqo+chwHQMdxXEA5juM+\nchwHQFVVVUDkOA4/chwHQOQ4TkCrqio/chwHQHIcR0ByHEc/chwHQAAAQEA5jmM/chwHQI7j\nOEAAAIA/chwHQBzHMUDkOI4/chwHQKuqKkDHcZw/chwHQDmOI0Crqqo/chwHQMdxHECO47g/\nchwHQFVVFUByHMc/chwHQOQ4DkBVVdU/chwHQHIcB0A5juM/chwHQAAAAEAcx/E/chwHQBzH\n8T8AAABAchwHQDmO4z9yHAdAchwHQFVV1T/kOA5AchwHQHIcxz9VVRVAchwHQI7juD/HcRxA\nchwHQKuqqj85jiNAchwHQMdxnD+rqipAchwHQOQ4jj8cxzFAchwHQAAAgD+O4zhAchwHQDmO\nYz8AAEBAchwHQHIcRz9yHEdAchwHQKuqKj/kOE5AchwHQOQ4Dj9VVVVAchwHQDmO4z7HcVxA\nchwHQKuqqj45jmNAchwHQDmOYz6rqmpAchwHQDmO4z0cx3FAchwHQAAAgCaO43hAchwHQDmO\n470AAIBAchwHQDmOY745joNAchwHQKuqqr5yHIdAchwHQDmO476rqopAchwHQOQ4Dr/kOI5A\nchwHQKuqKr8cx5FAchwHQHIcR79VVZVAchwHQDmOY7+O45hAchwHQAAAgL/HcZxAchwHQAAA\nwH8AAKBAchwHQAAAwH85jqNAchwHQAAAwH9yHKdAchwHQAAAwH+rqqpAchwHQAAAwH/kOK5A\nchwHQAAAwH8cx7FAchwHQAAAwH9VVbVAchwHQAAAwH+O47hAchwHQAAAwH/HcbxAchwHQAAA\nwH8AAMBAchwHQAAAwH85jsNAchwHQAAAwH9yHMdAchwHQAAAwH+rqspAchwHQAAAwH/kOM5A\nchwHQAAAwH8cx9FAchwHQAAAwH9VVdVAchwHQAAAwH+O49hAchwHQAAAwH/HcdxAchwHQAAA\nwH8AAOBAchwHQAAAwH85juNAchwHQAAAwH9yHOdAchwHQAAAwH+rqupAchwHQAAAwH/kOO5A\nchwHQAAAwH8cx/FAchwHQAAAwH9VVfVAchwHQAAAwH+O4/hAchwHQAAAwH/HcfxAchwHQAAA\nwH8AAABBchwHQAAAwH8cxwFBchwHQAAAwH85jgNBchwHQAAAwH9VVQVBchwHQAAAwH9yHAdB\nchwHQAAAwH+O4whBchwHQAAAwH+rqgpBchwHQAAAwH/HcQxBchwHQAAAwH/kOA5BchwHQAAA\nwH8AABBBchwHQAAAwH8cxxFBchwHQAAAwH85jhNBchwHQAAAwH9VVRVBchwHQAAAwH9yHBdB\nchwHQAAAwH+O4xhBchwHQAAAwH+rqhpBchwHQAAAwH/HcRxBchwHQAAAwH/kOB5BchwHQAAA\nwH8AACBBchwHQAAAwH8AAIC/5DgOQBzHkUA5jmO/5DgOQOQ4jkByHEe/5DgOQKuqikCrqiq/\n5DgOQHIch0DkOA6/5DgOQDmOg0A5juO+5DgOQAAAgECrqqq+5DgOQI7jeEA5jmO+5DgOQBzH\ncUA5juO95DgOQKuqakAAAAAA5DgOQDmOY0A5juM95DgOQMdxXEA5jmM+5DgOQFVVVUCrqqo+\n5DgOQOQ4TkA5juM+5DgOQHIcR0DkOA4/5DgOQAAAQECrqio/5DgOQI7jOEByHEc/5DgOQBzH\nMUA5jmM/5DgOQKuqKkAAAIA/5DgOQDmOI0DkOI4/5DgOQMdxHEDHcZw/5DgOQFVVFUCrqqo/\n5DgOQOQ4DkCO47g/5DgOQHIcB0ByHMc/5DgOQAAAAEBVVdU/5DgOQBzH8T85juM/5DgOQDmO\n4z8cx/E/5DgOQFVV1T8AAABA5DgOQHIcxz9yHAdA5DgOQI7juD/kOA5A5DgOQKuqqj9VVRVA\n5DgOQMdxnD/HcRxA5DgOQOQ4jj85jiNA5DgOQAAAgD+rqipA5DgOQDmOYz8cxzFA5DgOQHIc\nRz+O4zhA5DgOQKuqKj8AAEBA5DgOQOQ4Dj9yHEdA5DgOQDmO4z7kOE5A5DgOQKuqqj5VVVVA\n5DgOQDmOYz7HcVxA5DgOQDmO4z05jmNA5DgOQAAAgCarqmpA5DgOQDmO470cx3FA5DgOQDmO\nY76O43hA5DgOQKuqqr4AAIBA5DgOQDmO4745joNA5DgOQOQ4Dr9yHIdA5DgOQKuqKr+rqopA\n5DgOQHIcR7/kOI5A5DgOQDmOY78cx5FA5DgOQAAAgL9VVZVA5DgOQAAAwH+O45hA5DgOQAAA\nwH/HcZxA5DgOQAAAwH8AAKBA5DgOQAAAwH85jqNA5DgOQAAAwH9yHKdA5DgOQAAAwH+rqqpA\n5DgOQAAAwH/kOK5A5DgOQAAAwH8cx7FA5DgOQAAAwH9VVbVA5DgOQAAAwH+O47hA5DgOQAAA\nwH/HcbxA5DgOQAAAwH8AAMBA5DgOQAAAwH85jsNA5DgOQAAAwH9yHMdA5DgOQAAAwH+rqspA\n5DgOQAAAwH/kOM5A5DgOQAAAwH8cx9FA5DgOQAAAwH9VVdVA5DgOQAAAwH+O49hA5DgOQAAA\nwH/HcdxA5DgOQAAAwH8AAOBA5DgOQAAAwH85juNA5DgOQAAAwH9yHOdA5DgOQAAAwH+rqupA\n5DgOQAAAwH/kOO5A5DgOQAAAwH8cx/FA5DgOQAAAwH9VVfVA5DgOQAAAwH+O4/hA5DgOQAAA\nwH/HcfxA5DgOQAAAwH8AAABB5DgOQAAAwH8cxwFB5DgOQAAAwH85jgNB5DgOQAAAwH9VVQVB\n5DgOQAAAwH9yHAdB5DgOQAAAwH+O4whB5DgOQAAAwH+rqgpB5DgOQAAAwH/HcQxB5DgOQAAA\nwH/kOA5B5DgOQAAAwH8AABBB5DgOQAAAwH8cxxFB5DgOQAAAwH85jhNB5DgOQAAAwH9VVRVB\n5DgOQAAAwH9yHBdB5DgOQAAAwH+O4xhB5DgOQAAAwH+rqhpB5DgOQAAAwH/HcRxB5DgOQAAA\nwH/kOB5B5DgOQAAAwH8AACBB5DgOQAAAwH8AAIC/VVUVQKuqikA5jmO/VVUVQHIch0ByHEe/\nVVUVQDmOg0Crqiq/VVUVQAAAgEDkOA6/VVUVQI7jeEA5juO+VVUVQBzHcUCrqqq+VVUVQKuq\nakA5jmO+VVUVQDmOY0A5juO9VVUVQMdxXEAAAAAAVVUVQFVVVUA5juM9VVUVQOQ4TkA5jmM+\nVVUVQHIcR0Crqqo+VVUVQAAAQEA5juM+VVUVQI7jOEDkOA4/VVUVQBzHMUCrqio/VVUVQKuq\nKkByHEc/VVUVQDmOI0A5jmM/VVUVQMdxHEAAAIA/VVUVQFVVFUDkOI4/VVUVQOQ4DkDHcZw/\nVVUVQHIcB0Crqqo/VVUVQAAAAECO47g/VVUVQBzH8T9yHMc/VVUVQDmO4z9VVdU/VVUVQFVV\n1T85juM/VVUVQHIcxz8cx/E/VVUVQI7juD8AAABAVVUVQKuqqj9yHAdAVVUVQMdxnD/kOA5A\nVVUVQOQ4jj9VVRVAVVUVQAAAgD/HcRxAVVUVQDmOYz85jiNAVVUVQHIcRz+rqipAVVUVQKuq\nKj8cxzFAVVUVQOQ4Dj+O4zhAVVUVQDmO4z4AAEBAVVUVQKuqqj5yHEdAVVUVQDmOYz7kOE5A\nVVUVQDmO4z1VVVVAVVUVQAAAgCbHcVxAVVUVQDmO4705jmNAVVUVQDmOY76rqmpAVVUVQKuq\nqr4cx3FAVVUVQDmO476O43hAVVUVQOQ4Dr8AAIBAVVUVQKuqKr85joNAVVUVQHIcR79yHIdA\nVVUVQDmOY7+rqopAVVUVQAAAgL/kOI5AVVUVQAAAwH8cx5FAVVUVQAAAwH9VVZVAVVUVQAAA\nwH+O45hAVVUVQAAAwH/HcZxAVVUVQAAAwH8AAKBAVVUVQAAAwH85jqNAVVUVQAAAwH9yHKdA\nVVUVQAAAwH+rqqpAVVUVQAAAwH/kOK5AVVUVQAAAwH8cx7FAVVUVQAAAwH9VVbVAVVUVQAAA\nwH+O47hAVVUVQAAAwH/HcbxAVVUVQAAAwH8AAMBAVVUVQAAAwH85jsNAVVUVQAAAwH9yHMdA\nVVUVQAAAwH+rqspAVVUVQAAAwH/kOM5AVVUVQAAAwH8cx9FAVVUVQAAAwH9VVdVAVVUVQAAA\nwH+O49hAVVUVQAAAwH/HcdxAVVUVQAAAwH8AAOBAVVUVQAAAwH85juNAVVUVQAAAwH9yHOdA\nVVUVQAAAwH+rqupAVVUVQAAAwH/kOO5AVVUVQAAAwH8cx/FAVVUVQAAAwH9VVfVAVVUVQAAA\nwH+O4/hAVVUVQAAAwH/HcfxAVVUVQAAAwH8AAABBVVUVQAAAwH8cxwFBVVUVQAAAwH85jgNB\nVVUVQAAAwH9VVQVBVVUVQAAAwH9yHAdBVVUVQAAAwH+O4whBVVUVQAAAwH+rqgpBVVUVQAAA\nwH/HcQxBVVUVQAAAwH/kOA5BVVUVQAAAwH8AABBBVVUVQAAAwH8cxxFBVVUVQAAAwH85jhNB\nVVUVQAAAwH9VVRVBVVUVQAAAwH9yHBdBVVUVQAAAwH+O4xhBVVUVQAAAwH+rqhpBVVUVQAAA\nwH/HcRxBVVUVQAAAwH/kOB5BVVUVQAAAwH8AACBBVVUVQAAAwH8AAIC/x3EcQDmOg0A5jmO/\nx3EcQAAAgEByHEe/x3EcQI7jeECrqiq/x3EcQBzHcUDkOA6/x3EcQKuqakA5juO+x3EcQDmO\nY0Crqqq+x3EcQMdxXEA5jmO+x3EcQFVVVUA5juO9x3EcQOQ4TkAAAAAAx3EcQHIcR0A5juM9\nx3EcQAAAQEA5jmM+x3EcQI7jOECrqqo+x3EcQBzHMUA5juM+x3EcQKuqKkDkOA4/x3EcQDmO\nI0Crqio/x3EcQMdxHEByHEc/x3EcQFVVFUA5jmM/x3EcQOQ4DkAAAIA/x3EcQHIcB0DkOI4/\nx3EcQAAAAEDHcZw/x3EcQBzH8T+rqqo/x3EcQDmO4z+O47g/x3EcQFVV1T9yHMc/x3EcQHIc\nxz9VVdU/x3EcQI7juD85juM/x3EcQKuqqj8cx/E/x3EcQMdxnD8AAABAx3EcQOQ4jj9yHAdA\nx3EcQAAAgD/kOA5Ax3EcQDmOYz9VVRVAx3EcQHIcRz/HcRxAx3EcQKuqKj85jiNAx3EcQOQ4\nDj+rqipAx3EcQDmO4z4cxzFAx3EcQKuqqj6O4zhAx3EcQDmOYz4AAEBAx3EcQDmO4z1yHEdA\nx3EcQAAAgCbkOE5Ax3EcQDmO471VVVVAx3EcQDmOY77HcVxAx3EcQKuqqr45jmNAx3EcQDmO\n476rqmpAx3EcQOQ4Dr8cx3FAx3EcQKuqKr+O43hAx3EcQHIcR78AAIBAx3EcQDmOY785joNA\nx3EcQAAAgL9yHIdAx3EcQAAAwH+rqopAx3EcQAAAwH/kOI5Ax3EcQAAAwH8cx5FAx3EcQAAA\nwH9VVZVAx3EcQAAAwH+O45hAx3EcQAAAwH/HcZxAx3EcQAAAwH8AAKBAx3EcQAAAwH85jqNA\nx3EcQAAAwH9yHKdAx3EcQAAAwH+rqqpAx3EcQAAAwH/kOK5Ax3EcQAAAwH8cx7FAx3EcQAAA\nwH9VVbVAx3EcQAAAwH+O47hAx3EcQAAAwH/HcbxAx3EcQAAAwH8AAMBAx3EcQAAAwH85jsNA\nx3EcQAAAwH9yHMdAx3EcQAAAwH+rqspAx3EcQAAAwH/kOM5Ax3EcQAAAwH8cx9FAx3EcQAAA\nwH9VVdVAx3EcQAAAwH+O49hAx3EcQAAAwH/HcdxAx3EcQAAAwH8AAOBAx3EcQAAAwH85juNA\nx3EcQAAAwH9yHOdAx3EcQAAAwH+rqupAx3EcQAAAwH/kOO5Ax3EcQAAAwH8cx/FAx3EcQAAA\nwH9VVfVAx3EcQAAAwH+O4/hAx3EcQAAAwH/HcfxAx3EcQAAAwH8AAABBx3EcQAAAwH8cxwFB\nx3EcQAAAwH85jgNBx3EcQAAAwH9VVQVBx3EcQAAAwH9yHAdBx3EcQAAAwH+O4whBx3EcQAAA\nwH+rqgpBx3EcQAAAwH/HcQxBx3EcQAAAwH/kOA5Bx3EcQAAAwH8AABBBx3EcQAAAwH8cxxFB\nx3EcQAAAwH85jhNBx3EcQAAAwH9VVRVBx3EcQAAAwH9yHBdBx3EcQAAAwH+O4xhBx3EcQAAA\nwH+rqhpBx3EcQAAAwH/HcRxBx3EcQAAAwH/kOB5Bx3EcQAAAwH8AACBBx3EcQAAAwH8AAIC/\nOY4jQI7jeEA5jmO/OY4jQBzHcUByHEe/OY4jQKuqakCrqiq/OY4jQDmOY0DkOA6/OY4jQMdx\nXEA5juO+OY4jQFVVVUCrqqq+OY4jQOQ4TkA5jmO+OY4jQHIcR0A5juO9OY4jQAAAQEAAAAAA\nOY4jQI7jOEA5juM9OY4jQBzHMUA5jmM+OY4jQKuqKkCrqqo+OY4jQDmOI0A5juM+OY4jQMdx\nHEDkOA4/OY4jQFVVFUCrqio/OY4jQOQ4DkByHEc/OY4jQHIcB0A5jmM/OY4jQAAAAEAAAIA/\nOY4jQBzH8T/kOI4/OY4jQDmO4z/HcZw/OY4jQFVV1T+rqqo/OY4jQHIcxz+O47g/OY4jQI7j\nuD9yHMc/OY4jQKuqqj9VVdU/OY4jQMdxnD85juM/OY4jQOQ4jj8cx/E/OY4jQAAAgD8AAABA\nOY4jQDmOYz9yHAdAOY4jQHIcRz/kOA5AOY4jQKuqKj9VVRVAOY4jQOQ4Dj/HcRxAOY4jQDmO\n4z45jiNAOY4jQKuqqj6rqipAOY4jQDmOYz4cxzFAOY4jQDmO4z2O4zhAOY4jQAAAAAAAAEBA\nOY4jQDmO471yHEdAOY4jQDmOY77kOE5AOY4jQKuqqr5VVVVAOY4jQDmO477HcVxAOY4jQOQ4\nDr85jmNAOY4jQKuqKr+rqmpAOY4jQHIcR78cx3FAOY4jQDmOY7+O43hAOY4jQAAAgL8AAIBA\nOY4jQAAAwH85joNAOY4jQAAAwH9yHIdAOY4jQAAAwH+rqopAOY4jQAAAwH/kOI5AOY4jQAAA\nwH8cx5FAOY4jQAAAwH9VVZVAOY4jQAAAwH+O45hAOY4jQAAAwH/HcZxAOY4jQAAAwH8AAKBA\nOY4jQAAAwH85jqNAOY4jQAAAwH9yHKdAOY4jQAAAwH+rqqpAOY4jQAAAwH/kOK5AOY4jQAAA\nwH8cx7FAOY4jQAAAwH9VVbVAOY4jQAAAwH+O47hAOY4jQAAAwH/HcbxAOY4jQAAAwH8AAMBA\nOY4jQAAAwH85jsNAOY4jQAAAwH9yHMdAOY4jQAAAwH+rqspAOY4jQAAAwH/kOM5AOY4jQAAA\nwH8cx9FAOY4jQAAAwH9VVdVAOY4jQAAAwH+O49hAOY4jQAAAwH/HcdxAOY4jQAAAwH8AAOBA\nOY4jQAAAwH85juNAOY4jQAAAwH9yHOdAOY4jQAAAwH+rqupAOY4jQAAAwH/kOO5AOY4jQAAA\nwH8cx/FAOY4jQAAAwH9VVfVAOY4jQAAAwH+O4/hAOY4jQAAAwH/HcfxAOY4jQAAAwH8AAABB\nOY4jQAAAwH8cxwFBOY4jQAAAwH85jgNBOY4jQAAAwH9VVQVBOY4jQAAAwH9yHAdBOY4jQAAA\nwH+O4whBOY4jQAAAwH+rqgpBOY4jQAAAwH/HcQxBOY4jQAAAwH/kOA5BOY4jQAAAwH8AABBB\nOY4jQAAAwH8cxxFBOY4jQAAAwH85jhNBOY4jQAAAwH9VVRVBOY4jQAAAwH9yHBdBOY4jQAAA\nwH+O4xhBOY4jQAAAwH+rqhpBOY4jQAAAwH/HcRxBOY4jQAAAwH/kOB5BOY4jQAAAwH8AACBB\nOY4jQAAAwH8AAIC/q6oqQKuqakA5jmO/q6oqQDmOY0ByHEe/q6oqQMdxXECrqiq/q6oqQFVV\nVUDkOA6/q6oqQOQ4TkA5juO+q6oqQHIcR0Crqqq+q6oqQAAAQEA5jmO+q6oqQI7jOEA5juO9\nq6oqQBzHMUAAAAAAq6oqQKuqKkA5juM9q6oqQDmOI0A5jmM+q6oqQMdxHECrqqo+q6oqQFVV\nFUA5juM+q6oqQOQ4DkDkOA4/q6oqQHIcB0Crqio/q6oqQAAAAEByHEc/q6oqQBzH8T85jmM/\nq6oqQDmO4z8AAIA/q6oqQFVV1T/kOI4/q6oqQHIcxz/HcZw/q6oqQI7juD+rqqo/q6oqQKuq\nqj+O47g/q6oqQMdxnD9yHMc/q6oqQOQ4jj9VVdU/q6oqQAAAgD85juM/q6oqQDmOYz8cx/E/\nq6oqQHIcRz8AAABAq6oqQKuqKj9yHAdAq6oqQOQ4Dj/kOA5Aq6oqQDmO4z5VVRVAq6oqQKuq\nqj7HcRxAq6oqQDmOYz45jiNAq6oqQDmO4z2rqipAq6oqQAAAAAAcxzFAq6oqQDmO472O4zhA\nq6oqQDmOY74AAEBAq6oqQKuqqr5yHEdAq6oqQDmO477kOE5Aq6oqQOQ4Dr9VVVVAq6oqQKuq\nKr/HcVxAq6oqQHIcR785jmNAq6oqQDmOY7+rqmpAq6oqQAAAgL8cx3FAq6oqQAAAwH+O43hA\nq6oqQAAAwH8AAIBAq6oqQAAAwH85joNAq6oqQAAAwH9yHIdAq6oqQAAAwH+rqopAq6oqQAAA\nwH/kOI5Aq6oqQAAAwH8cx5FAq6oqQAAAwH9VVZVAq6oqQAAAwH+O45hAq6oqQAAAwH/HcZxA\nq6oqQAAAwH8AAKBAq6oqQAAAwH85jqNAq6oqQAAAwH9yHKdAq6oqQAAAwH+rqqpAq6oqQAAA\nwH/kOK5Aq6oqQAAAwH8cx7FAq6oqQAAAwH9VVbVAq6oqQAAAwH+O47hAq6oqQAAAwH/HcbxA\nq6oqQAAAwH8AAMBAq6oqQAAAwH85jsNAq6oqQAAAwH9yHMdAq6oqQAAAwH+rqspAq6oqQAAA\nwH/kOM5Aq6oqQAAAwH8cx9FAq6oqQAAAwH9VVdVAq6oqQAAAwH+O49hAq6oqQAAAwH/HcdxA\nq6oqQAAAwH8AAOBAq6oqQAAAwH85juNAq6oqQAAAwH9yHOdAq6oqQAAAwH+rqupAq6oqQAAA\nwH/kOO5Aq6oqQAAAwH8cx/FAq6oqQAAAwH9VVfVAq6oqQAAAwH+O4/hAq6oqQAAAwH/HcfxA\nq6oqQAAAwH8AAABBq6oqQAAAwH8cxwFBq6oqQAAAwH85jgNBq6oqQAAAwH9VVQVBq6oqQAAA\nwH9yHAdBq6oqQAAAwH+O4whBq6oqQAAAwH+rqgpBq6oqQAAAwH/HcQxBq6oqQAAAwH/kOA5B\nq6oqQAAAwH8AABBBq6oqQAAAwH8cxxFBq6oqQAAAwH85jhNBq6oqQAAAwH9VVRVBq6oqQAAA\nwH9yHBdBq6oqQAAAwH+O4xhBq6oqQAAAwH+rqhpBq6oqQAAAwH/HcRxBq6oqQAAAwH/kOB5B\nq6oqQAAAwH8AACBBq6oqQAAAwH8AAIC/HMcxQMdxXEA5jmO/HMcxQFVVVUByHEe/HMcxQOQ4\nTkCrqiq/HMcxQHIcR0DkOA6/HMcxQAAAQEA5juO+HMcxQI7jOECrqqq+HMcxQBzHMUA5jmO+\nHMcxQKuqKkA5juO9HMcxQDmOI0AAAAAAHMcxQMdxHEA5juM9HMcxQFVVFUA5jmM+HMcxQOQ4\nDkCrqqo+HMcxQHIcB0A5juM+HMcxQAAAAEDkOA4/HMcxQBzH8T+rqio/HMcxQDmO4z9yHEc/\nHMcxQFVV1T85jmM/HMcxQHIcxz8AAIA/HMcxQI7juD/kOI4/HMcxQKuqqj/HcZw/HMcxQMdx\nnD+rqqo/HMcxQOQ4jj+O47g/HMcxQAAAgD9yHMc/HMcxQDmOYz9VVdU/HMcxQHIcRz85juM/\nHMcxQKuqKj8cx/E/HMcxQOQ4Dj8AAABAHMcxQDmO4z5yHAdAHMcxQKuqqj7kOA5AHMcxQDmO\nYz5VVRVAHMcxQDmO4z3HcRxAHMcxQAAAAAA5jiNAHMcxQDmO472rqipAHMcxQDmOY74cxzFA\nHMcxQKuqqr6O4zhAHMcxQDmO474AAEBAHMcxQOQ4Dr9yHEdAHMcxQKuqKr/kOE5AHMcxQHIc\nR79VVVVAHMcxQDmOY7/HcVxAHMcxQAAAgL85jmNAHMcxQAAAwH+rqmpAHMcxQAAAwH8cx3FA\nHMcxQAAAwH+O43hAHMcxQAAAwH8AAIBAHMcxQAAAwH85joNAHMcxQAAAwH9yHIdAHMcxQAAA\nwH+rqopAHMcxQAAAwH/kOI5AHMcxQAAAwH8cx5FAHMcxQAAAwH9VVZVAHMcxQAAAwH+O45hA\nHMcxQAAAwH/HcZxAHMcxQAAAwH8AAKBAHMcxQAAAwH85jqNAHMcxQAAAwH9yHKdAHMcxQAAA\nwH+rqqpAHMcxQAAAwH/kOK5AHMcxQAAAwH8cx7FAHMcxQAAAwH9VVbVAHMcxQAAAwH+O47hA\nHMcxQAAAwH/HcbxAHMcxQAAAwH8AAMBAHMcxQAAAwH85jsNAHMcxQAAAwH9yHMdAHMcxQAAA\nwH+rqspAHMcxQAAAwH/kOM5AHMcxQAAAwH8cx9FAHMcxQAAAwH9VVdVAHMcxQAAAwH+O49hA\nHMcxQAAAwH/HcdxAHMcxQAAAwH8AAOBAHMcxQAAAwH85juNAHMcxQAAAwH9yHOdAHMcxQAAA\nwH+rqupAHMcxQAAAwH/kOO5AHMcxQAAAwH8cx/FAHMcxQAAAwH9VVfVAHMcxQAAAwH+O4/hA\nHMcxQAAAwH/HcfxAHMcxQAAAwH8AAABBHMcxQAAAwH8cxwFBHMcxQAAAwH85jgNBHMcxQAAA\nwH9VVQVBHMcxQAAAwH9yHAdBHMcxQAAAwH+O4whBHMcxQAAAwH+rqgpBHMcxQAAAwH/HcQxB\nHMcxQAAAwH/kOA5BHMcxQAAAwH8AABBBHMcxQAAAwH8cxxFBHMcxQAAAwH85jhNBHMcxQAAA\nwH9VVRVBHMcxQAAAwH9yHBdBHMcxQAAAwH+O4xhBHMcxQAAAwH+rqhpBHMcxQAAAwH/HcRxB\nHMcxQAAAwH/kOB5BHMcxQAAAwH8AACBBHMcxQAAAwH8AAIC/juM4QOQ4TkA5jmO/juM4QHIc\nR0ByHEe/juM4QAAAQECrqiq/juM4QI7jOEDkOA6/juM4QBzHMUA5juO+juM4QKuqKkCrqqq+\njuM4QDmOI0A5jmO+juM4QMdxHEA5juO9juM4QFVVFUAAAAAAjuM4QOQ4DkA5juM9juM4QHIc\nB0A5jmM+juM4QAAAAECrqqo+juM4QBzH8T85juM+juM4QDmO4z/kOA4/juM4QFVV1T+rqio/\njuM4QHIcxz9yHEc/juM4QI7juD85jmM/juM4QKuqqj8AAIA/juM4QMdxnD/kOI4/juM4QOQ4\njj/HcZw/juM4QAAAgD+rqqo/juM4QDmOYz+O47g/juM4QHIcRz9yHMc/juM4QKuqKj9VVdU/\njuM4QOQ4Dj85juM/juM4QDmO4z4cx/E/juM4QKuqqj4AAABAjuM4QDmOYz5yHAdAjuM4QDmO\n4z3kOA5AjuM4QAAAAABVVRVAjuM4QDmO473HcRxAjuM4QDmOY745jiNAjuM4QKuqqr6rqipA\njuM4QDmO474cxzFAjuM4QOQ4Dr+O4zhAjuM4QKuqKr8AAEBAjuM4QHIcR79yHEdAjuM4QDmO\nY7/kOE5AjuM4QAAAgL9VVVVAjuM4QAAAwH/HcVxAjuM4QAAAwH85jmNAjuM4QAAAwH+rqmpA\njuM4QAAAwH8cx3FAjuM4QAAAwH+O43hAjuM4QAAAwH8AAIBAjuM4QAAAwH85joNAjuM4QAAA\nwH9yHIdAjuM4QAAAwH+rqopAjuM4QAAAwH/kOI5AjuM4QAAAwH8cx5FAjuM4QAAAwH9VVZVA\njuM4QAAAwH+O45hAjuM4QAAAwH/HcZxAjuM4QAAAwH8AAKBAjuM4QAAAwH85jqNAjuM4QAAA\nwH9yHKdAjuM4QAAAwH+rqqpAjuM4QAAAwH/kOK5AjuM4QAAAwH8cx7FAjuM4QAAAwH9VVbVA\njuM4QAAAwH+O47hAjuM4QAAAwH/HcbxAjuM4QAAAwH8AAMBAjuM4QAAAwH85jsNAjuM4QAAA\nwH9yHMdAjuM4QAAAwH+rqspAjuM4QAAAwH/kOM5AjuM4QAAAwH8cx9FAjuM4QAAAwH9VVdVA\njuM4QAAAwH+O49hAjuM4QAAAwH/HcdxAjuM4QAAAwH8AAOBAjuM4QAAAwH85juNAjuM4QAAA\nwH9yHOdAjuM4QAAAwH+rqupAjuM4QAAAwH/kOO5AjuM4QAAAwH8cx/FAjuM4QAAAwH9VVfVA\njuM4QAAAwH+O4/hAjuM4QAAAwH/HcfxAjuM4QAAAwH8AAABBjuM4QAAAwH8cxwFBjuM4QAAA\nwH85jgNBjuM4QAAAwH9VVQVBjuM4QAAAwH9yHAdBjuM4QAAAwH+O4whBjuM4QAAAwH+rqgpB\njuM4QAAAwH/HcQxBjuM4QAAAwH/kOA5BjuM4QAAAwH8AABBBjuM4QAAAwH8cxxFBjuM4QAAA\nwH85jhNBjuM4QAAAwH9VVRVBjuM4QAAAwH9yHBdBjuM4QAAAwH+O4xhBjuM4QAAAwH+rqhpB\njuM4QAAAwH/HcRxBjuM4QAAAwH/kOB5BjuM4QAAAwH8AACBBjuM4QAAAwH8AAIC/AABAQAAA\nQEA5jmO/AABAQI7jOEByHEe/AABAQBzHMUCrqiq/AABAQKuqKkDkOA6/AABAQDmOI0A5juO+\nAABAQMdxHECrqqq+AABAQFVVFUA5jmO+AABAQOQ4DkA5juO9AABAQHIcB0AAAAAAAABAQAAA\nAEA5juM9AABAQBzH8T85jmM+AABAQDmO4z+rqqo+AABAQFVV1T85juM+AABAQHIcxz/kOA4/\nAABAQI7juD+rqio/AABAQKuqqj9yHEc/AABAQMdxnD85jmM/AABAQOQ4jj8AAIA/AABAQAAA\ngD/kOI4/AABAQDmOYz/HcZw/AABAQHIcRz+rqqo/AABAQKuqKj+O47g/AABAQOQ4Dj9yHMc/\nAABAQDmO4z5VVdU/AABAQKuqqj45juM/AABAQDmOYz4cx/E/AABAQDmO4z0AAABAAABAQAAA\nAAByHAdAAABAQDmO473kOA5AAABAQDmOY75VVRVAAABAQKuqqr7HcRxAAABAQDmO4745jiNA\nAABAQOQ4Dr+rqipAAABAQKuqKr8cxzFAAABAQHIcR7+O4zhAAABAQDmOY78AAEBAAABAQAAA\ngL9yHEdAAABAQAAAwH/kOE5AAABAQAAAwH9VVVVAAABAQAAAwH/HcVxAAABAQAAAwH85jmNA\nAABAQAAAwH+rqmpAAABAQAAAwH8cx3FAAABAQAAAwH+O43hAAABAQAAAwH8AAIBAAABAQAAA\nwH85joNAAABAQAAAwH9yHIdAAABAQAAAwH+rqopAAABAQAAAwH/kOI5AAABAQAAAwH8cx5FA\nAABAQAAAwH9VVZVAAABAQAAAwH+O45hAAABAQAAAwH/HcZxAAABAQAAAwH8AAKBAAABAQAAA\nwH85jqNAAABAQAAAwH9yHKdAAABAQAAAwH+rqqpAAABAQAAAwH/kOK5AAABAQAAAwH8cx7FA\nAABAQAAAwH9VVbVAAABAQAAAwH+O47hAAABAQAAAwH/HcbxAAABAQAAAwH8AAMBAAABAQAAA\nwH85jsNAAABAQAAAwH9yHMdAAABAQAAAwH+rqspAAABAQAAAwH/kOM5AAABAQAAAwH8cx9FA\nAABAQAAAwH9VVdVAAABAQAAAwH+O49hAAABAQAAAwH/HcdxAAABAQAAAwH8AAOBAAABAQAAA\nwH85juNAAABAQAAAwH9yHOdAAABAQAAAwH+rqupAAABAQAAAwH/kOO5AAABAQAAAwH8cx/FA\nAABAQAAAwH9VVfVAAABAQAAAwH+O4/hAAABAQAAAwH/HcfxAAABAQAAAwH8AAABBAABAQAAA\nwH8cxwFBAABAQAAAwH85jgNBAABAQAAAwH9VVQVBAABAQAAAwH9yHAdBAABAQAAAwH+O4whB\nAABAQAAAwH+rqgpBAABAQAAAwH/HcQxBAABAQAAAwH/kOA5BAABAQAAAwH8AABBBAABAQAAA\nwH8cxxFBAABAQAAAwH85jhNBAABAQAAAwH9VVRVBAABAQAAAwH9yHBdBAABAQAAAwH+O4xhB\nAABAQAAAwH+rqhpBAABAQAAAwH/HcRxBAABAQAAAwH/kOB5BAABAQAAAwH8AACBBAABAQAAA\nwH8AAIC/chxHQBzHMUA5jmO/chxHQKuqKkByHEe/chxHQDmOI0Crqiq/chxHQMdxHEDkOA6/\nchxHQFVVFUA5juO+chxHQOQ4DkCrqqq+chxHQHIcB0A5jmO+chxHQAAAAEA5juO9chxHQBzH\n8T8AAAAAchxHQDmO4z85juM9chxHQFVV1T85jmM+chxHQHIcxz+rqqo+chxHQI7juD85juM+\nchxHQKuqqj/kOA4/chxHQMdxnD+rqio/chxHQOQ4jj9yHEc/chxHQAAAgD85jmM/chxHQDmO\nYz8AAIA/chxHQHIcRz/kOI4/chxHQKuqKj/HcZw/chxHQOQ4Dj+rqqo/chxHQDmO4z6O47g/\nchxHQKuqqj5yHMc/chxHQDmOYz5VVdU/chxHQDmO4z05juM/chxHQAAAgCYcx/E/chxHQDmO\n470AAABAchxHQDmOY75yHAdAchxHQKuqqr7kOA5AchxHQDmO475VVRVAchxHQOQ4Dr/HcRxA\nchxHQKuqKr85jiNAchxHQHIcR7+rqipAchxHQDmOY78cxzFAchxHQAAAgL+O4zhAchxHQAAA\nwH8AAEBAchxHQAAAwH9yHEdAchxHQAAAwH/kOE5AchxHQAAAwH9VVVVAchxHQAAAwH/HcVxA\nchxHQAAAwH85jmNAchxHQAAAwH+rqmpAchxHQAAAwH8cx3FAchxHQAAAwH+O43hAchxHQAAA\nwH8AAIBAchxHQAAAwH85joNAchxHQAAAwH9yHIdAchxHQAAAwH+rqopAchxHQAAAwH/kOI5A\nchxHQAAAwH8cx5FAchxHQAAAwH9VVZVAchxHQAAAwH+O45hAchxHQAAAwH/HcZxAchxHQAAA\nwH8AAKBAchxHQAAAwH85jqNAchxHQAAAwH9yHKdAchxHQAAAwH+rqqpAchxHQAAAwH/kOK5A\nchxHQAAAwH8cx7FAchxHQAAAwH9VVbVAchxHQAAAwH+O47hAchxHQAAAwH/HcbxAchxHQAAA\nwH8AAMBAchxHQAAAwH85jsNAchxHQAAAwH9yHMdAchxHQAAAwH+rqspAchxHQAAAwH/kOM5A\nchxHQAAAwH8cx9FAchxHQAAAwH9VVdVAchxHQAAAwH+O49hAchxHQAAAwH/HcdxAchxHQAAA\nwH8AAOBAchxHQAAAwH85juNAchxHQAAAwH9yHOdAchxHQAAAwH+rqupAchxHQAAAwH/kOO5A\nchxHQAAAwH8cx/FAchxHQAAAwH9VVfVAchxHQAAAwH+O4/hAchxHQAAAwH/HcfxAchxHQAAA\nwH8AAABBchxHQAAAwH8cxwFBchxHQAAAwH85jgNBchxHQAAAwH9VVQVBchxHQAAAwH9yHAdB\nchxHQAAAwH+O4whBchxHQAAAwH+rqgpBchxHQAAAwH/HcQxBchxHQAAAwH/kOA5BchxHQAAA\nwH8AABBBchxHQAAAwH8cxxFBchxHQAAAwH85jhNBchxHQAAAwH9VVRVBchxHQAAAwH9yHBdB\nchxHQAAAwH+O4xhBchxHQAAAwH+rqhpBchxHQAAAwH/HcRxBchxHQAAAwH/kOB5BchxHQAAA\nwH8AACBBchxHQAAAwH8AAIC/5DhOQDmOI0A5jmO/5DhOQMdxHEByHEe/5DhOQFVVFUCrqiq/\n5DhOQOQ4DkDkOA6/5DhOQHIcB0A5juO+5DhOQAAAAECrqqq+5DhOQBzH8T85jmO+5DhOQDmO\n4z85juO95DhOQFVV1T8AAAAA5DhOQHIcxz85juM95DhOQI7juD85jmM+5DhOQKuqqj+rqqo+\n5DhOQMdxnD85juM+5DhOQOQ4jj/kOA4/5DhOQAAAgD+rqio/5DhOQDmOYz9yHEc/5DhOQHIc\nRz85jmM/5DhOQKuqKj8AAIA/5DhOQOQ4Dj/kOI4/5DhOQDmO4z7HcZw/5DhOQKuqqj6rqqo/\n5DhOQDmOYz6O47g/5DhOQDmO4z1yHMc/5DhOQAAAAABVVdU/5DhOQDmO4705juM/5DhOQDmO\nY74cx/E/5DhOQKuqqr4AAABA5DhOQDmO475yHAdA5DhOQOQ4Dr/kOA5A5DhOQKuqKr9VVRVA\n5DhOQHIcR7/HcRxA5DhOQDmOY785jiNA5DhOQAAAgL+rqipA5DhOQAAAwH8cxzFA5DhOQAAA\nwH+O4zhA5DhOQAAAwH8AAEBA5DhOQAAAwH9yHEdA5DhOQAAAwH/kOE5A5DhOQAAAwH9VVVVA\n5DhOQAAAwH/HcVxA5DhOQAAAwH85jmNA5DhOQAAAwH+rqmpA5DhOQAAAwH8cx3FA5DhOQAAA\nwH+O43hA5DhOQAAAwH8AAIBA5DhOQAAAwH85joNA5DhOQAAAwH9yHIdA5DhOQAAAwH+rqopA\n5DhOQAAAwH/kOI5A5DhOQAAAwH8cx5FA5DhOQAAAwH9VVZVA5DhOQAAAwH+O45hA5DhOQAAA\nwH/HcZxA5DhOQAAAwH8AAKBA5DhOQAAAwH85jqNA5DhOQAAAwH9yHKdA5DhOQAAAwH+rqqpA\n5DhOQAAAwH/kOK5A5DhOQAAAwH8cx7FA5DhOQAAAwH9VVbVA5DhOQAAAwH+O47hA5DhOQAAA\nwH/HcbxA5DhOQAAAwH8AAMBA5DhOQAAAwH85jsNA5DhOQAAAwH9yHMdA5DhOQAAAwH+rqspA\n5DhOQAAAwH/kOM5A5DhOQAAAwH8cx9FA5DhOQAAAwH9VVdVA5DhOQAAAwH+O49hA5DhOQAAA\nwH/HcdxA5DhOQAAAwH8AAOBA5DhOQAAAwH85juNA5DhOQAAAwH9yHOdA5DhOQAAAwH+rqupA\n5DhOQAAAwH/kOO5A5DhOQAAAwH8cx/FA5DhOQAAAwH9VVfVA5DhOQAAAwH+O4/hA5DhOQAAA\nwH/HcfxA5DhOQAAAwH8AAABB5DhOQAAAwH8cxwFB5DhOQAAAwH85jgNB5DhOQAAAwH9VVQVB\n5DhOQAAAwH9yHAdB5DhOQAAAwH+O4whB5DhOQAAAwH+rqgpB5DhOQAAAwH/HcQxB5DhOQAAA\nwH/kOA5B5DhOQAAAwH8AABBB5DhOQAAAwH8cxxFB5DhOQAAAwH85jhNB5DhOQAAAwH9VVRVB\n5DhOQAAAwH9yHBdB5DhOQAAAwH+O4xhB5DhOQAAAwH+rqhpB5DhOQAAAwH/HcRxB5DhOQAAA\nwH/kOB5B5DhOQAAAwH8AACBB5DhOQAAAwH8AAIC/VVVVQFVVFUA5jmO/VVVVQOQ4DkByHEe/\nVVVVQHIcB0Crqiq/VVVVQAAAAEDkOA6/VVVVQBzH8T85juO+VVVVQDmO4z+rqqq+VVVVQFVV\n1T85jmO+VVVVQHIcxz85juO9VVVVQI7juD8AAAAAVVVVQKuqqj85juM9VVVVQMdxnD85jmM+\nVVVVQOQ4jj+rqqo+VVVVQAAAgD85juM+VVVVQDmOYz/kOA4/VVVVQHIcRz+rqio/VVVVQKuq\nKj9yHEc/VVVVQOQ4Dj85jmM/VVVVQDmO4z4AAIA/VVVVQKuqqj7kOI4/VVVVQDmOYz7HcZw/\nVVVVQDmO4z2rqqo/VVVVQAAAgCaO47g/VVVVQDmO471yHMc/VVVVQDmOY75VVdU/VVVVQKuq\nqr45juM/VVVVQDmO474cx/E/VVVVQOQ4Dr8AAABAVVVVQKuqKr9yHAdAVVVVQHIcR7/kOA5A\nVVVVQDmOY79VVRVAVVVVQAAAgL/HcRxAVVVVQAAAwH85jiNAVVVVQAAAwH+rqipAVVVVQAAA\nwH8cxzFAVVVVQAAAwH+O4zhAVVVVQAAAwH8AAEBAVVVVQAAAwH9yHEdAVVVVQAAAwH/kOE5A\nVVVVQAAAwH9VVVVAVVVVQAAAwH/HcVxAVVVVQAAAwH85jmNAVVVVQAAAwH+rqmpAVVVVQAAA\nwH8cx3FAVVVVQAAAwH+O43hAVVVVQAAAwH8AAIBAVVVVQAAAwH85joNAVVVVQAAAwH9yHIdA\nVVVVQAAAwH+rqopAVVVVQAAAwH/kOI5AVVVVQAAAwH8cx5FAVVVVQAAAwH9VVZVAVVVVQAAA\nwH+O45hAVVVVQAAAwH/HcZxAVVVVQAAAwH8AAKBAVVVVQAAAwH85jqNAVVVVQAAAwH9yHKdA\nVVVVQAAAwH+rqqpAVVVVQAAAwH/kOK5AVVVVQAAAwH8cx7FAVVVVQAAAwH9VVbVAVVVVQAAA\nwH+O47hAVVVVQAAAwH/HcbxAVVVVQAAAwH8AAMBAVVVVQAAAwH85jsNAVVVVQAAAwH9yHMdA\nVVVVQAAAwH+rqspAVVVVQAAAwH/kOM5AVVVVQAAAwH8cx9FAVVVVQAAAwH9VVdVAVVVVQAAA\nwH+O49hAVVVVQAAAwH/HcdxAVVVVQAAAwH8AAOBAVVVVQAAAwH85juNAVVVVQAAAwH9yHOdA\nVVVVQAAAwH+rqupAVVVVQAAAwH/kOO5AVVVVQAAAwH8cx/FAVVVVQAAAwH9VVfVAVVVVQAAA\nwH+O4/hAVVVVQAAAwH/HcfxAVVVVQAAAwH8AAABBVVVVQAAAwH8cxwFBVVVVQAAAwH85jgNB\nVVVVQAAAwH9VVQVBVVVVQAAAwH9yHAdBVVVVQAAAwH+O4whBVVVVQAAAwH+rqgpBVVVVQAAA\nwH/HcQxBVVVVQAAAwH/kOA5BVVVVQAAAwH8AABBBVVVVQAAAwH8cxxFBVVVVQAAAwH85jhNB\nVVVVQAAAwH9VVRVBVVVVQAAAwH9yHBdBVVVVQAAAwH+O4xhBVVVVQAAAwH+rqhpBVVVVQAAA\nwH/HcRxBVVVVQAAAwH/kOB5BVVVVQAAAwH8AACBBVVVVQAAAwH8AAIC/x3FcQHIcB0A5jmO/\nx3FcQAAAAEByHEe/x3FcQBzH8T+rqiq/x3FcQDmO4z/kOA6/x3FcQFVV1T85juO+x3FcQHIc\nxz+rqqq+x3FcQI7juD85jmO+x3FcQKuqqj85juO9x3FcQMdxnD8AAAAAx3FcQOQ4jj85juM9\nx3FcQAAAgD85jmM+x3FcQDmOYz+rqqo+x3FcQHIcRz85juM+x3FcQKuqKj/kOA4/x3FcQOQ4\nDj+rqio/x3FcQDmO4z5yHEc/x3FcQKuqqj45jmM/x3FcQDmOYz4AAIA/x3FcQDmO4z3kOI4/\nx3FcQAAAAADHcZw/x3FcQDmO472rqqo/x3FcQDmOY76O47g/x3FcQKuqqr5yHMc/x3FcQDmO\n475VVdU/x3FcQOQ4Dr85juM/x3FcQKuqKr8cx/E/x3FcQHIcR78AAABAx3FcQDmOY79yHAdA\nx3FcQAAAgL/kOA5Ax3FcQAAAwH9VVRVAx3FcQAAAwH/HcRxAx3FcQAAAwH85jiNAx3FcQAAA\nwH+rqipAx3FcQAAAwH8cxzFAx3FcQAAAwH+O4zhAx3FcQAAAwH8AAEBAx3FcQAAAwH9yHEdA\nx3FcQAAAwH/kOE5Ax3FcQAAAwH9VVVVAx3FcQAAAwH/HcVxAx3FcQAAAwH85jmNAx3FcQAAA\nwH+rqmpAx3FcQAAAwH8cx3FAx3FcQAAAwH+O43hAx3FcQAAAwH8AAIBAx3FcQAAAwH85joNA\nx3FcQAAAwH9yHIdAx3FcQAAAwH+rqopAx3FcQAAAwH/kOI5Ax3FcQAAAwH8cx5FAx3FcQAAA\nwH9VVZVAx3FcQAAAwH+O45hAx3FcQAAAwH/HcZxAx3FcQAAAwH8AAKBAx3FcQAAAwH85jqNA\nx3FcQAAAwH9yHKdAx3FcQAAAwH+rqqpAx3FcQAAAwH/kOK5Ax3FcQAAAwH8cx7FAx3FcQAAA\nwH9VVbVAx3FcQAAAwH+O47hAx3FcQAAAwH/HcbxAx3FcQAAAwH8AAMBAx3FcQAAAwH85jsNA\nx3FcQAAAwH9yHMdAx3FcQAAAwH+rqspAx3FcQAAAwH/kOM5Ax3FcQAAAwH8cx9FAx3FcQAAA\nwH9VVdVAx3FcQAAAwH+O49hAx3FcQAAAwH/HcdxAx3FcQAAAwH8AAOBAx3FcQAAAwH85juNA\nx3FcQAAAwH9yHOdAx3FcQAAAwH+rqupAx3FcQAAAwH/kOO5Ax3FcQAAAwH8cx/FAx3FcQAAA\nwH9VVfVAx3FcQAAAwH+O4/hAx3FcQAAAwH/HcfxAx3FcQAAAwH8AAABBx3FcQAAAwH8cxwFB\nx3FcQAAAwH85jgNBx3FcQAAAwH9VVQVBx3FcQAAAwH9yHAdBx3FcQAAAwH+O4whBx3FcQAAA\nwH+rqgpBx3FcQAAAwH/HcQxBx3FcQAAAwH/kOA5Bx3FcQAAAwH8AABBBx3FcQAAAwH8cxxFB\nx3FcQAAAwH85jhNBx3FcQAAAwH9VVRVBx3FcQAAAwH9yHBdBx3FcQAAAwH+O4xhBx3FcQAAA\nwH+rqhpBx3FcQAAAwH/HcRxBx3FcQAAAwH/kOB5Bx3FcQAAAwH8AACBBx3FcQAAAwH8AAIC/\nOY5jQBzH8T85jmO/OY5jQDmO4z9yHEe/OY5jQFVV1T+rqiq/OY5jQHIcxz/kOA6/OY5jQI7j\nuD85juO+OY5jQKuqqj+rqqq+OY5jQMdxnD85jmO+OY5jQOQ4jj85juO9OY5jQAAAgD8AAAAA\nOY5jQDmOYz85juM9OY5jQHIcRz85jmM+OY5jQKuqKj+rqqo+OY5jQOQ4Dj85juM+OY5jQDmO\n4z7kOA4/OY5jQKuqqj6rqio/OY5jQDmOYz5yHEc/OY5jQDmO4z05jmM/OY5jQAAAAAAAAIA/\nOY5jQDmO473kOI4/OY5jQDmOY77HcZw/OY5jQKuqqr6rqqo/OY5jQDmO476O47g/OY5jQOQ4\nDr9yHMc/OY5jQKuqKr9VVdU/OY5jQHIcR785juM/OY5jQDmOY78cx/E/OY5jQAAAgL8AAABA\nOY5jQAAAwH9yHAdAOY5jQAAAwH/kOA5AOY5jQAAAwH9VVRVAOY5jQAAAwH/HcRxAOY5jQAAA\nwH85jiNAOY5jQAAAwH+rqipAOY5jQAAAwH8cxzFAOY5jQAAAwH+O4zhAOY5jQAAAwH8AAEBA\nOY5jQAAAwH9yHEdAOY5jQAAAwH/kOE5AOY5jQAAAwH9VVVVAOY5jQAAAwH/HcVxAOY5jQAAA\nwH85jmNAOY5jQAAAwH+rqmpAOY5jQAAAwH8cx3FAOY5jQAAAwH+O43hAOY5jQAAAwH8AAIBA\nOY5jQAAAwH85joNAOY5jQAAAwH9yHIdAOY5jQAAAwH+rqopAOY5jQAAAwH/kOI5AOY5jQAAA\nwH8cx5FAOY5jQAAAwH9VVZVAOY5jQAAAwH+O45hAOY5jQAAAwH/HcZxAOY5jQAAAwH8AAKBA\nOY5jQAAAwH85jqNAOY5jQAAAwH9yHKdAOY5jQAAAwH+rqqpAOY5jQAAAwH/kOK5AOY5jQAAA\nwH8cx7FAOY5jQAAAwH9VVbVAOY5jQAAAwH+O47hAOY5jQAAAwH/HcbxAOY5jQAAAwH8AAMBA\nOY5jQAAAwH85jsNAOY5jQAAAwH9yHMdAOY5jQAAAwH+rqspAOY5jQAAAwH/kOM5AOY5jQAAA\nwH8cx9FAOY5jQAAAwH9VVdVAOY5jQAAAwH+O49hAOY5jQAAAwH/HcdxAOY5jQAAAwH8AAOBA\nOY5jQAAAwH85juNAOY5jQAAAwH9yHOdAOY5jQAAAwH+rqupAOY5jQAAAwH/kOO5AOY5jQAAA\nwH8cx/FAOY5jQAAAwH9VVfVAOY5jQAAAwH+O4/hAOY5jQAAAwH/HcfxAOY5jQAAAwH8AAABB\nOY5jQAAAwH8cxwFBOY5jQAAAwH85jgNBOY5jQAAAwH9VVQVBOY5jQAAAwH9yHAdBOY5jQAAA\nwH+O4whBOY5jQAAAwH+rqgpBOY5jQAAAwH/HcQxBOY5jQAAAwH/kOA5BOY5jQAAAwH8AABBB\nOY5jQAAAwH8cxxFBOY5jQAAAwH85jhNBOY5jQAAAwH9VVRVBOY5jQAAAwH9yHBdBOY5jQAAA\nwH+O4xhBOY5jQAAAwH+rqhpBOY5jQAAAwH/HcRxBOY5jQAAAwH/kOB5BOY5jQAAAwH8AACBB\nOY5jQAAAwH8AAIC/q6pqQFVV1T85jmO/q6pqQHIcxz9yHEe/q6pqQI7juD+rqiq/q6pqQKuq\nqj/kOA6/q6pqQMdxnD85juO+q6pqQOQ4jj+rqqq+q6pqQAAAgD85jmO+q6pqQDmOYz85juO9\nq6pqQHIcRz8AAAAAq6pqQKuqKj85juM9q6pqQOQ4Dj85jmM+q6pqQDmO4z6rqqo+q6pqQKuq\nqj45juM+q6pqQDmOYz7kOA4/q6pqQDmO4z2rqio/q6pqQAAAACdyHEc/q6pqQDmO4705jmM/\nq6pqQDmOY74AAIA/q6pqQKuqqr7kOI4/q6pqQDmO477HcZw/q6pqQOQ4Dr+rqqo/q6pqQKuq\nKr+O47g/q6pqQHIcR79yHMc/q6pqQDmOY79VVdU/q6pqQAAAgL85juM/q6pqQAAAwH8cx/E/\nq6pqQAAAwH8AAABAq6pqQAAAwH9yHAdAq6pqQAAAwH/kOA5Aq6pqQAAAwH9VVRVAq6pqQAAA\nwH/HcRxAq6pqQAAAwH85jiNAq6pqQAAAwH+rqipAq6pqQAAAwH8cxzFAq6pqQAAAwH+O4zhA\nq6pqQAAAwH8AAEBAq6pqQAAAwH9yHEdAq6pqQAAAwH/kOE5Aq6pqQAAAwH9VVVVAq6pqQAAA\nwH/HcVxAq6pqQAAAwH85jmNAq6pqQAAAwH+rqmpAq6pqQAAAwH8cx3FAq6pqQAAAwH+O43hA\nq6pqQAAAwH8AAIBAq6pqQAAAwH85joNAq6pqQAAAwH9yHIdAq6pqQAAAwH+rqopAq6pqQAAA\nwH/kOI5Aq6pqQAAAwH8cx5FAq6pqQAAAwH9VVZVAq6pqQAAAwH+O45hAq6pqQAAAwH/HcZxA\nq6pqQAAAwH8AAKBAq6pqQAAAwH85jqNAq6pqQAAAwH9yHKdAq6pqQAAAwH+rqqpAq6pqQAAA\nwH/kOK5Aq6pqQAAAwH8cx7FAq6pqQAAAwH9VVbVAq6pqQAAAwH+O47hAq6pqQAAAwH/HcbxA\nq6pqQAAAwH8AAMBAq6pqQAAAwH85jsNAq6pqQAAAwH9yHMdAq6pqQAAAwH+rqspAq6pqQAAA\nwH/kOM5Aq6pqQAAAwH8cx9FAq6pqQAAAwH9VVdVAq6pqQAAAwH+O49hAq6pqQAAAwH/HcdxA\nq6pqQAAAwH8AAOBAq6pqQAAAwH85juNAq6pqQAAAwH9yHOdAq6pqQAAAwH+rqupAq6pqQAAA\nwH/kOO5Aq6pqQAAAwH8cx/FAq6pqQAAAwH9VVfVAq6pqQAAAwH+O4/hAq6pqQAAAwH/HcfxA\nq6pqQAAAwH8AAABBq6pqQAAAwH8cxwFBq6pqQAAAwH85jgNBq6pqQAAAwH9VVQVBq6pqQAAA\nwH9yHAdBq6pqQAAAwH+O4whBq6pqQAAAwH+rqgpBq6pqQAAAwH/HcQxBq6pqQAAAwH/kOA5B\nq6pqQAAAwH8AABBBq6pqQAAAwH8cxxFBq6pqQAAAwH85jhNBq6pqQAAAwH9VVRVBq6pqQAAA\nwH9yHBdBq6pqQAAAwH+O4xhBq6pqQAAAwH+rqhpBq6pqQAAAwH/HcRxBq6pqQAAAwH/kOB5B\nq6pqQAAAwH8AACBBq6pqQAAAwH8AAIC/HMdxQI7juD85jmO/HMdxQKuqqj9yHEe/HMdxQMdx\nnD+rqiq/HMdxQOQ4jj/kOA6/HMdxQAAAgD85juO+HMdxQDmOYz+rqqq+HMdxQHIcRz85jmO+\nHMdxQKuqKj85juO9HMdxQOQ4Dj8AAAAAHMdxQDmO4z45juM9HMdxQKuqqj45jmM+HMdxQDmO\nYz6rqqo+HMdxQDmO4z05juM+HMdxQAAAAADkOA4/HMdxQDmO472rqio/HMdxQDmOY75yHEc/\nHMdxQKuqqr45jmM/HMdxQDmO474AAIA/HMdxQOQ4Dr/kOI4/HMdxQKuqKr/HcZw/HMdxQHIc\nR7+rqqo/HMdxQDmOY7+O47g/HMdxQAAAgL9yHMc/HMdxQAAAwH9VVdU/HMdxQAAAwH85juM/\nHMdxQAAAwH8cx/E/HMdxQAAAwH8AAABAHMdxQAAAwH9yHAdAHMdxQAAAwH/kOA5AHMdxQAAA\nwH9VVRVAHMdxQAAAwH/HcRxAHMdxQAAAwH85jiNAHMdxQAAAwH+rqipAHMdxQAAAwH8cxzFA\nHMdxQAAAwH+O4zhAHMdxQAAAwH8AAEBAHMdxQAAAwH9yHEdAHMdxQAAAwH/kOE5AHMdxQAAA\nwH9VVVVAHMdxQAAAwH/HcVxAHMdxQAAAwH85jmNAHMdxQAAAwH+rqmpAHMdxQAAAwH8cx3FA\nHMdxQAAAwH+O43hAHMdxQAAAwH8AAIBAHMdxQAAAwH85joNAHMdxQAAAwH9yHIdAHMdxQAAA\nwH+rqopAHMdxQAAAwH/kOI5AHMdxQAAAwH8cx5FAHMdxQAAAwH9VVZVAHMdxQAAAwH+O45hA\nHMdxQAAAwH/HcZxAHMdxQAAAwH8AAKBAHMdxQAAAwH85jqNAHMdxQAAAwH9yHKdAHMdxQAAA\nwH+rqqpAHMdxQAAAwH/kOK5AHMdxQAAAwH8cx7FAHMdxQAAAwH9VVbVAHMdxQAAAwH+O47hA\nHMdxQAAAwH/HcbxAHMdxQAAAwH8AAMBAHMdxQAAAwH85jsNAHMdxQAAAwH9yHMdAHMdxQAAA\nwH+rqspAHMdxQAAAwH/kOM5AHMdxQAAAwH8cx9FAHMdxQAAAwH9VVdVAHMdxQAAAwH+O49hA\nHMdxQAAAwH/HcdxAHMdxQAAAwH8AAOBAHMdxQAAAwH85juNAHMdxQAAAwH9yHOdAHMdxQAAA\nwH+rqupAHMdxQAAAwH/kOO5AHMdxQAAAwH8cx/FAHMdxQAAAwH9VVfVAHMdxQAAAwH+O4/hA\nHMdxQAAAwH/HcfxAHMdxQAAAwH8AAABBHMdxQAAAwH8cxwFBHMdxQAAAwH85jgNBHMdxQAAA\nwH9VVQVBHMdxQAAAwH9yHAdBHMdxQAAAwH+O4whBHMdxQAAAwH+rqgpBHMdxQAAAwH/HcQxB\nHMdxQAAAwH/kOA5BHMdxQAAAwH8AABBBHMdxQAAAwH8cxxFBHMdxQAAAwH85jhNBHMdxQAAA\nwH9VVRVBHMdxQAAAwH9yHBdBHMdxQAAAwH+O4xhBHMdxQAAAwH+rqhpBHMdxQAAAwH/HcRxB\nHMdxQAAAwH/kOB5BHMdxQAAAwH8AACBBHMdxQAAAwH8AAIC/juN4QMdxnD85jmO/juN4QOQ4\njj9yHEe/juN4QAAAgD+rqiq/juN4QDmOYz/kOA6/juN4QHIcRz85juO+juN4QKuqKj+rqqq+\njuN4QOQ4Dj85jmO+juN4QDmO4z45juO9juN4QKuqqj4AAAAAjuN4QDmOYz45juM9juN4QDmO\n4z05jmM+juN4QAAAgCarqqo+juN4QDmO4705juM+juN4QDmOY77kOA4/juN4QKuqqr6rqio/\njuN4QDmO475yHEc/juN4QOQ4Dr85jmM/juN4QKuqKr8AAIA/juN4QHIcR7/kOI4/juN4QDmO\nY7/HcZw/juN4QAAAgL+rqqo/juN4QAAAwH+O47g/juN4QAAAwH9yHMc/juN4QAAAwH9VVdU/\njuN4QAAAwH85juM/juN4QAAAwH8cx/E/juN4QAAAwH8AAABAjuN4QAAAwH9yHAdAjuN4QAAA\nwH/kOA5AjuN4QAAAwH9VVRVAjuN4QAAAwH/HcRxAjuN4QAAAwH85jiNAjuN4QAAAwH+rqipA\njuN4QAAAwH8cxzFAjuN4QAAAwH+O4zhAjuN4QAAAwH8AAEBAjuN4QAAAwH9yHEdAjuN4QAAA\nwH/kOE5AjuN4QAAAwH9VVVVAjuN4QAAAwH/HcVxAjuN4QAAAwH85jmNAjuN4QAAAwH+rqmpA\njuN4QAAAwH8cx3FAjuN4QAAAwH+O43hAjuN4QAAAwH8AAIBAjuN4QAAAwH85joNAjuN4QAAA\nwH9yHIdAjuN4QAAAwH+rqopAjuN4QAAAwH/kOI5AjuN4QAAAwH8cx5FAjuN4QAAAwH9VVZVA\njuN4QAAAwH+O45hAjuN4QAAAwH/HcZxAjuN4QAAAwH8AAKBAjuN4QAAAwH85jqNAjuN4QAAA\nwH9yHKdAjuN4QAAAwH+rqqpAjuN4QAAAwH/kOK5AjuN4QAAAwH8cx7FAjuN4QAAAwH9VVbVA\njuN4QAAAwH+O47hAjuN4QAAAwH/HcbxAjuN4QAAAwH8AAMBAjuN4QAAAwH85jsNAjuN4QAAA\nwH9yHMdAjuN4QAAAwH+rqspAjuN4QAAAwH/kOM5AjuN4QAAAwH8cx9FAjuN4QAAAwH9VVdVA\njuN4QAAAwH+O49hAjuN4QAAAwH/HcdxAjuN4QAAAwH8AAOBAjuN4QAAAwH85juNAjuN4QAAA\nwH9yHOdAjuN4QAAAwH+rqupAjuN4QAAAwH/kOO5AjuN4QAAAwH8cx/FAjuN4QAAAwH9VVfVA\njuN4QAAAwH+O4/hAjuN4QAAAwH/HcfxAjuN4QAAAwH8AAABBjuN4QAAAwH8cxwFBjuN4QAAA\nwH85jgNBjuN4QAAAwH9VVQVBjuN4QAAAwH9yHAdBjuN4QAAAwH+O4whBjuN4QAAAwH+rqgpB\njuN4QAAAwH/HcQxBjuN4QAAAwH/kOA5BjuN4QAAAwH8AABBBjuN4QAAAwH8cxxFBjuN4QAAA\nwH85jhNBjuN4QAAAwH9VVRVBjuN4QAAAwH9yHBdBjuN4QAAAwH+O4xhBjuN4QAAAwH+rqhpB\njuN4QAAAwH/HcRxBjuN4QAAAwH/kOB5BjuN4QAAAwH8AACBBjuN4QAAAwH8AAIC/AACAQAAA\ngD85jmO/AACAQDmOYz9yHEe/AACAQHIcRz+rqiq/AACAQKuqKj/kOA6/AACAQOQ4Dj85juO+\nAACAQDmO4z6rqqq+AACAQKuqqj45jmO+AACAQDmOYz45juO9AACAQDmO4z0AAAAAAACAQAAA\nAAA5juM9AACAQDmO4705jmM+AACAQDmOY76rqqo+AACAQKuqqr45juM+AACAQDmO477kOA4/\nAACAQOQ4Dr+rqio/AACAQKuqKr9yHEc/AACAQHIcR785jmM/AACAQDmOY78AAIA/AACAQAAA\ngL/kOI4/AACAQAAAwH/HcZw/AACAQAAAwH+rqqo/AACAQAAAwH+O47g/AACAQAAAwH9yHMc/\nAACAQAAAwH9VVdU/AACAQAAAwH85juM/AACAQAAAwH8cx/E/AACAQAAAwH8AAABAAACAQAAA\nwH9yHAdAAACAQAAAwH/kOA5AAACAQAAAwH9VVRVAAACAQAAAwH/HcRxAAACAQAAAwH85jiNA\nAACAQAAAwH+rqipAAACAQAAAwH8cxzFAAACAQAAAwH+O4zhAAACAQAAAwH8AAEBAAACAQAAA\nwH9yHEdAAACAQAAAwH/kOE5AAACAQAAAwH9VVVVAAACAQAAAwH/HcVxAAACAQAAAwH85jmNA\nAACAQAAAwH+rqmpAAACAQAAAwH8cx3FAAACAQAAAwH+O43hAAACAQAAAwH8AAIBAAACAQAAA\nwH85joNAAACAQAAAwH9yHIdAAACAQAAAwH+rqopAAACAQAAAwH/kOI5AAACAQAAAwH8cx5FA\nAACAQAAAwH9VVZVAAACAQAAAwH+O45hAAACAQAAAwH/HcZxAAACAQAAAwH8AAKBAAACAQAAA\nwH85jqNAAACAQAAAwH9yHKdAAACAQAAAwH+rqqpAAACAQAAAwH/kOK5AAACAQAAAwH8cx7FA\nAACAQAAAwH9VVbVAAACAQAAAwH+O47hAAACAQAAAwH/HcbxAAACAQAAAwH8AAMBAAACAQAAA\nwH85jsNAAACAQAAAwH9yHMdAAACAQAAAwH+rqspAAACAQAAAwH/kOM5AAACAQAAAwH8cx9FA\nAACAQAAAwH9VVdVAAACAQAAAwH+O49hAAACAQAAAwH/HcdxAAACAQAAAwH8AAOBAAACAQAAA\nwH85juNAAACAQAAAwH9yHOdAAACAQAAAwH+rqupAAACAQAAAwH/kOO5AAACAQAAAwH8cx/FA\nAACAQAAAwH9VVfVAAACAQAAAwH+O4/hAAACAQAAAwH/HcfxAAACAQAAAwH8AAABBAACAQAAA\nwH8cxwFBAACAQAAAwH85jgNBAACAQAAAwH9VVQVBAACAQAAAwH9yHAdBAACAQAAAwH+O4whB\nAACAQAAAwH+rqgpBAACAQAAAwH/HcQxBAACAQAAAwH/kOA5BAACAQAAAwH8AABBBAACAQAAA\nwH8cxxFBAACAQAAAwH85jhNBAACAQAAAwH9VVRVBAACAQAAAwH9yHBdBAACAQAAAwH+O4xhB\nAACAQAAAwH+rqhpBAACAQAAAwH/HcRxBAACAQAAAwH/kOB5BAACAQAAAwH8AACBBAACAQAAA\nwH8AAIC/OY6DQHIcRz85jmO/OY6DQKuqKj9yHEe/OY6DQOQ4Dj+rqiq/OY6DQDmO4z7kOA6/\nOY6DQKuqqj45juO+OY6DQDmOYz6rqqq+OY6DQDmO4z05jmO+OY6DQAAAgCY5juO9OY6DQDmO\n470AAAAAOY6DQDmOY745juM9OY6DQKuqqr45jmM+OY6DQDmO476rqqo+OY6DQOQ4Dr85juM+\nOY6DQKuqKr/kOA4/OY6DQHIcR7+rqio/OY6DQDmOY79yHEc/OY6DQAAAgL85jmM/OY6DQAAA\nwH8AAIA/OY6DQAAAwH/kOI4/OY6DQAAAwH/HcZw/OY6DQAAAwH+rqqo/OY6DQAAAwH+O47g/\nOY6DQAAAwH9yHMc/OY6DQAAAwH9VVdU/OY6DQAAAwH85juM/OY6DQAAAwH8cx/E/OY6DQAAA\nwH8AAABAOY6DQAAAwH9yHAdAOY6DQAAAwH/kOA5AOY6DQAAAwH9VVRVAOY6DQAAAwH/HcRxA\nOY6DQAAAwH85jiNAOY6DQAAAwH+rqipAOY6DQAAAwH8cxzFAOY6DQAAAwH+O4zhAOY6DQAAA\nwH8AAEBAOY6DQAAAwH9yHEdAOY6DQAAAwH/kOE5AOY6DQAAAwH9VVVVAOY6DQAAAwH/HcVxA\nOY6DQAAAwH85jmNAOY6DQAAAwH+rqmpAOY6DQAAAwH8cx3FAOY6DQAAAwH+O43hAOY6DQAAA\nwH8AAIBAOY6DQAAAwH85joNAOY6DQAAAwH9yHIdAOY6DQAAAwH+rqopAOY6DQAAAwH/kOI5A\nOY6DQAAAwH8cx5FAOY6DQAAAwH9VVZVAOY6DQAAAwH+O45hAOY6DQAAAwH/HcZxAOY6DQAAA\nwH8AAKBAOY6DQAAAwH85jqNAOY6DQAAAwH9yHKdAOY6DQAAAwH+rqqpAOY6DQAAAwH/kOK5A\nOY6DQAAAwH8cx7FAOY6DQAAAwH9VVbVAOY6DQAAAwH+O47hAOY6DQAAAwH/HcbxAOY6DQAAA\nwH8AAMBAOY6DQAAAwH85jsNAOY6DQAAAwH9yHMdAOY6DQAAAwH+rqspAOY6DQAAAwH/kOM5A\nOY6DQAAAwH8cx9FAOY6DQAAAwH9VVdVAOY6DQAAAwH+O49hAOY6DQAAAwH/HcdxAOY6DQAAA\nwH8AAOBAOY6DQAAAwH85juNAOY6DQAAAwH9yHOdAOY6DQAAAwH+rqupAOY6DQAAAwH/kOO5A\nOY6DQAAAwH8cx/FAOY6DQAAAwH9VVfVAOY6DQAAAwH+O4/hAOY6DQAAAwH/HcfxAOY6DQAAA\nwH8AAABBOY6DQAAAwH8cxwFBOY6DQAAAwH85jgNBOY6DQAAAwH9VVQVBOY6DQAAAwH9yHAdB\nOY6DQAAAwH+O4whBOY6DQAAAwH+rqgpBOY6DQAAAwH/HcQxBOY6DQAAAwH/kOA5BOY6DQAAA\nwH8AABBBOY6DQAAAwH8cxxFBOY6DQAAAwH85jhNBOY6DQAAAwH9VVRVBOY6DQAAAwH9yHBdB\nOY6DQAAAwH+O4xhBOY6DQAAAwH+rqhpBOY6DQAAAwH/HcRxBOY6DQAAAwH/kOB5BOY6DQAAA\nwH8AACBBOY6DQAAAwH8AAIC/chyHQOQ4Dj85jmO/chyHQDmO4z5yHEe/chyHQKuqqj6rqiq/\nchyHQDmOYz7kOA6/chyHQDmO4z05juO+chyHQAAAAACrqqq+chyHQDmO4705jmO+chyHQDmO\nY745juO9chyHQKuqqr4AAAAAchyHQDmO4745juM9chyHQOQ4Dr85jmM+chyHQKuqKr+rqqo+\nchyHQHIcR785juM+chyHQDmOY7/kOA4/chyHQAAAgL+rqio/chyHQAAAwH9yHEc/chyHQAAA\nwH85jmM/chyHQAAAwH8AAIA/chyHQAAAwH/kOI4/chyHQAAAwH/HcZw/chyHQAAAwH+rqqo/\nchyHQAAAwH+O47g/chyHQAAAwH9yHMc/chyHQAAAwH9VVdU/chyHQAAAwH85juM/chyHQAAA\nwH8cx/E/chyHQAAAwH8AAABAchyHQAAAwH9yHAdAchyHQAAAwH/kOA5AchyHQAAAwH9VVRVA\nchyHQAAAwH/HcRxAchyHQAAAwH85jiNAchyHQAAAwH+rqipAchyHQAAAwH8cxzFAchyHQAAA\nwH+O4zhAchyHQAAAwH8AAEBAchyHQAAAwH9yHEdAchyHQAAAwH/kOE5AchyHQAAAwH9VVVVA\nchyHQAAAwH/HcVxAchyHQAAAwH85jmNAchyHQAAAwH+rqmpAchyHQAAAwH8cx3FAchyHQAAA\nwH+O43hAchyHQAAAwH8AAIBAchyHQAAAwH85joNAchyHQAAAwH9yHIdAchyHQAAAwH+rqopA\nchyHQAAAwH/kOI5AchyHQAAAwH8cx5FAchyHQAAAwH9VVZVAchyHQAAAwH+O45hAchyHQAAA\nwH/HcZxAchyHQAAAwH8AAKBAchyHQAAAwH85jqNAchyHQAAAwH9yHKdAchyHQAAAwH+rqqpA\nchyHQAAAwH/kOK5AchyHQAAAwH8cx7FAchyHQAAAwH9VVbVAchyHQAAAwH+O47hAchyHQAAA\nwH/HcbxAchyHQAAAwH8AAMBAchyHQAAAwH85jsNAchyHQAAAwH9yHMdAchyHQAAAwH+rqspA\nchyHQAAAwH/kOM5AchyHQAAAwH8cx9FAchyHQAAAwH9VVdVAchyHQAAAwH+O49hAchyHQAAA\nwH/HcdxAchyHQAAAwH8AAOBAchyHQAAAwH85juNAchyHQAAAwH9yHOdAchyHQAAAwH+rqupA\nchyHQAAAwH/kOO5AchyHQAAAwH8cx/FAchyHQAAAwH9VVfVAchyHQAAAwH+O4/hAchyHQAAA\nwH/HcfxAchyHQAAAwH8AAABBchyHQAAAwH8cxwFBchyHQAAAwH85jgNBchyHQAAAwH9VVQVB\nchyHQAAAwH9yHAdBchyHQAAAwH+O4whBchyHQAAAwH+rqgpBchyHQAAAwH/HcQxBchyHQAAA\nwH/kOA5BchyHQAAAwH8AABBBchyHQAAAwH8cxxFBchyHQAAAwH85jhNBchyHQAAAwH9VVRVB\nchyHQAAAwH9yHBdBchyHQAAAwH+O4xhBchyHQAAAwH+rqhpBchyHQAAAwH/HcRxBchyHQAAA\nwH/kOB5BchyHQAAAwH8AACBBchyHQAAAwH8AAIC/q6qKQKuqqj45jmO/q6qKQDmOYz5yHEe/\nq6qKQDmO4z2rqiq/q6qKQAAAgCbkOA6/q6qKQDmO4705juO+q6qKQDmOY76rqqq+q6qKQKuq\nqr45jmO+q6qKQDmO4745juO9q6qKQOQ4Dr8AAAAAq6qKQKuqKr85juM9q6qKQHIcR785jmM+\nq6qKQDmOY7+rqqo+q6qKQAAAgL85juM+q6qKQAAAwH/kOA4/q6qKQAAAwH+rqio/q6qKQAAA\nwH9yHEc/q6qKQAAAwH85jmM/q6qKQAAAwH8AAIA/q6qKQAAAwH/kOI4/q6qKQAAAwH/HcZw/\nq6qKQAAAwH+rqqo/q6qKQAAAwH+O47g/q6qKQAAAwH9yHMc/q6qKQAAAwH9VVdU/q6qKQAAA\nwH85juM/q6qKQAAAwH8cx/E/q6qKQAAAwH8AAABAq6qKQAAAwH9yHAdAq6qKQAAAwH/kOA5A\nq6qKQAAAwH9VVRVAq6qKQAAAwH/HcRxAq6qKQAAAwH85jiNAq6qKQAAAwH+rqipAq6qKQAAA\nwH8cxzFAq6qKQAAAwH+O4zhAq6qKQAAAwH8AAEBAq6qKQAAAwH9yHEdAq6qKQAAAwH/kOE5A\nq6qKQAAAwH9VVVVAq6qKQAAAwH/HcVxAq6qKQAAAwH85jmNAq6qKQAAAwH+rqmpAq6qKQAAA\nwH8cx3FAq6qKQAAAwH+O43hAq6qKQAAAwH8AAIBAq6qKQAAAwH85joNAq6qKQAAAwH9yHIdA\nq6qKQAAAwH+rqopAq6qKQAAAwH/kOI5Aq6qKQAAAwH8cx5FAq6qKQAAAwH9VVZVAq6qKQAAA\nwH+O45hAq6qKQAAAwH/HcZxAq6qKQAAAwH8AAKBAq6qKQAAAwH85jqNAq6qKQAAAwH9yHKdA\nq6qKQAAAwH+rqqpAq6qKQAAAwH/kOK5Aq6qKQAAAwH8cx7FAq6qKQAAAwH9VVbVAq6qKQAAA\nwH+O47hAq6qKQAAAwH/HcbxAq6qKQAAAwH8AAMBAq6qKQAAAwH85jsNAq6qKQAAAwH9yHMdA\nq6qKQAAAwH+rqspAq6qKQAAAwH/kOM5Aq6qKQAAAwH8cx9FAq6qKQAAAwH9VVdVAq6qKQAAA\nwH+O49hAq6qKQAAAwH/HcdxAq6qKQAAAwH8AAOBAq6qKQAAAwH85juNAq6qKQAAAwH9yHOdA\nq6qKQAAAwH+rqupAq6qKQAAAwH/kOO5Aq6qKQAAAwH8cx/FAq6qKQAAAwH9VVfVAq6qKQAAA\nwH+O4/hAq6qKQAAAwH/HcfxAq6qKQAAAwH8AAABBq6qKQAAAwH8cxwFBq6qKQAAAwH85jgNB\nq6qKQAAAwH9VVQVBq6qKQAAAwH9yHAdBq6qKQAAAwH+O4whBq6qKQAAAwH+rqgpBq6qKQAAA\nwH/HcQxBq6qKQAAAwH/kOA5Bq6qKQAAAwH8AABBBq6qKQAAAwH8cxxFBq6qKQAAAwH85jhNB\nq6qKQAAAwH9VVRVBq6qKQAAAwH9yHBdBq6qKQAAAwH+O4xhBq6qKQAAAwH+rqhpBq6qKQAAA\nwH/HcRxBq6qKQAAAwH/kOB5Bq6qKQAAAwH8AACBBq6qKQAAAwH8AAIC/5DiOQDmO4z05jmO/\n5DiOQAAAACdyHEe/5DiOQDmO472rqiq/5DiOQDmOY77kOA6/5DiOQKuqqr45juO+5DiOQDmO\n476rqqq+5DiOQOQ4Dr85jmO+5DiOQKuqKr85juO95DiOQHIcR78AAAAA5DiOQDmOY785juM9\n5DiOQAAAgL85jmM+5DiOQAAAwH+rqqo+5DiOQAAAwH85juM+5DiOQAAAwH/kOA4/5DiOQAAA\nwH+rqio/5DiOQAAAwH9yHEc/5DiOQAAAwH85jmM/5DiOQAAAwH8AAIA/5DiOQAAAwH/kOI4/\n5DiOQAAAwH/HcZw/5DiOQAAAwH+rqqo/5DiOQAAAwH+O47g/5DiOQAAAwH9yHMc/5DiOQAAA\nwH9VVdU/5DiOQAAAwH85juM/5DiOQAAAwH8cx/E/5DiOQAAAwH8AAABA5DiOQAAAwH9yHAdA\n5DiOQAAAwH/kOA5A5DiOQAAAwH9VVRVA5DiOQAAAwH/HcRxA5DiOQAAAwH85jiNA5DiOQAAA\nwH+rqipA5DiOQAAAwH8cxzFA5DiOQAAAwH+O4zhA5DiOQAAAwH8AAEBA5DiOQAAAwH9yHEdA\n5DiOQAAAwH/kOE5A5DiOQAAAwH9VVVVA5DiOQAAAwH/HcVxA5DiOQAAAwH85jmNA5DiOQAAA\nwH+rqmpA5DiOQAAAwH8cx3FA5DiOQAAAwH+O43hA5DiOQAAAwH8AAIBA5DiOQAAAwH85joNA\n5DiOQAAAwH9yHIdA5DiOQAAAwH+rqopA5DiOQAAAwH/kOI5A5DiOQAAAwH8cx5FA5DiOQAAA\nwH9VVZVA5DiOQAAAwH+O45hA5DiOQAAAwH/HcZxA5DiOQAAAwH8AAKBA5DiOQAAAwH85jqNA\n5DiOQAAAwH9yHKdA5DiOQAAAwH+rqqpA5DiOQAAAwH/kOK5A5DiOQAAAwH8cx7FA5DiOQAAA\nwH9VVbVA5DiOQAAAwH+O47hA5DiOQAAAwH/HcbxA5DiOQAAAwH8AAMBA5DiOQAAAwH85jsNA\n5DiOQAAAwH9yHMdA5DiOQAAAwH+rqspA5DiOQAAAwH/kOM5A5DiOQAAAwH8cx9FA5DiOQAAA\nwH9VVdVA5DiOQAAAwH+O49hA5DiOQAAAwH/HcdxA5DiOQAAAwH8AAOBA5DiOQAAAwH85juNA\n5DiOQAAAwH9yHOdA5DiOQAAAwH+rqupA5DiOQAAAwH/kOO5A5DiOQAAAwH8cx/FA5DiOQAAA\nwH9VVfVA5DiOQAAAwH+O4/hA5DiOQAAAwH/HcfxA5DiOQAAAwH8AAABB5DiOQAAAwH8cxwFB\n5DiOQAAAwH85jgNB5DiOQAAAwH9VVQVB5DiOQAAAwH9yHAdB5DiOQAAAwH+O4whB5DiOQAAA\nwH+rqgpB5DiOQAAAwH/HcQxB5DiOQAAAwH/kOA5B5DiOQAAAwH8AABBB5DiOQAAAwH8cxxFB\n5DiOQAAAwH85jhNB5DiOQAAAwH9VVRVB5DiOQAAAwH9yHBdB5DiOQAAAwH+O4xhB5DiOQAAA\nwH+rqhpB5DiOQAAAwH/HcRxB5DiOQAAAwH/kOB5B5DiOQAAAwH8AACBB5DiOQAAAwH8AAIC/\nHMeRQDmO4705jmO/HMeRQDmOY75yHEe/HMeRQKuqqr6rqiq/HMeRQDmO477kOA6/HMeRQOQ4\nDr85juO+HMeRQKuqKr+rqqq+HMeRQHIcR785jmO+HMeRQDmOY785juO9HMeRQAAAgL8AAAAA\nHMeRQAAAwH85juM9HMeRQAAAwH85jmM+HMeRQAAAwH+rqqo+HMeRQAAAwH85juM+HMeRQAAA\nwH/kOA4/HMeRQAAAwH+rqio/HMeRQAAAwH9yHEc/HMeRQAAAwH85jmM/HMeRQAAAwH8AAIA/\nHMeRQAAAwH/kOI4/HMeRQAAAwH/HcZw/HMeRQAAAwH+rqqo/HMeRQAAAwH+O47g/HMeRQAAA\nwH9yHMc/HMeRQAAAwH9VVdU/HMeRQAAAwH85juM/HMeRQAAAwH8cx/E/HMeRQAAAwH8AAABA\nHMeRQAAAwH9yHAdAHMeRQAAAwH/kOA5AHMeRQAAAwH9VVRVAHMeRQAAAwH/HcRxAHMeRQAAA\nwH85jiNAHMeRQAAAwH+rqipAHMeRQAAAwH8cxzFAHMeRQAAAwH+O4zhAHMeRQAAAwH8AAEBA\nHMeRQAAAwH9yHEdAHMeRQAAAwH/kOE5AHMeRQAAAwH9VVVVAHMeRQAAAwH/HcVxAHMeRQAAA\nwH85jmNAHMeRQAAAwH+rqmpAHMeRQAAAwH8cx3FAHMeRQAAAwH+O43hAHMeRQAAAwH8AAIBA\nHMeRQAAAwH85joNAHMeRQAAAwH9yHIdAHMeRQAAAwH+rqopAHMeRQAAAwH/kOI5AHMeRQAAA\nwH8cx5FAHMeRQAAAwH9VVZVAHMeRQAAAwH+O45hAHMeRQAAAwH/HcZxAHMeRQAAAwH8AAKBA\nHMeRQAAAwH85jqNAHMeRQAAAwH9yHKdAHMeRQAAAwH+rqqpAHMeRQAAAwH/kOK5AHMeRQAAA\nwH8cx7FAHMeRQAAAwH9VVbVAHMeRQAAAwH+O47hAHMeRQAAAwH/HcbxAHMeRQAAAwH8AAMBA\nHMeRQAAAwH85jsNAHMeRQAAAwH9yHMdAHMeRQAAAwH+rqspAHMeRQAAAwH/kOM5AHMeRQAAA\nwH8cx9FAHMeRQAAAwH9VVdVAHMeRQAAAwH+O49hAHMeRQAAAwH/HcdxAHMeRQAAAwH8AAOBA\nHMeRQAAAwH85juNAHMeRQAAAwH9yHOdAHMeRQAAAwH+rqupAHMeRQAAAwH/kOO5AHMeRQAAA\nwH8cx/FAHMeRQAAAwH9VVfVAHMeRQAAAwH+O4/hAHMeRQAAAwH/HcfxAHMeRQAAAwH8AAABB\nHMeRQAAAwH8cxwFBHMeRQAAAwH85jgNBHMeRQAAAwH9VVQVBHMeRQAAAwH9yHAdBHMeRQAAA\nwH+O4whBHMeRQAAAwH+rqgpBHMeRQAAAwH/HcQxBHMeRQAAAwH/kOA5BHMeRQAAAwH8AABBB\nHMeRQAAAwH8cxxFBHMeRQAAAwH85jhNBHMeRQAAAwH9VVRVBHMeRQAAAwH9yHBdBHMeRQAAA\nwH+O4xhBHMeRQAAAwH+rqhpBHMeRQAAAwH/HcRxBHMeRQAAAwH/kOB5BHMeRQAAAwH8AACBB\nHMeRQAAAwH8AAIC/VVWVQKuqqr45jmO/VVWVQDmO475yHEe/VVWVQOQ4Dr+rqiq/VVWVQKuq\nKr/kOA6/VVWVQHIcR785juO+VVWVQDmOY7+rqqq+VVWVQAAAgL85jmO+VVWVQAAAwH85juO9\nVVWVQAAAwH8AAAAAVVWVQAAAwH85juM9VVWVQAAAwH85jmM+VVWVQAAAwH+rqqo+VVWVQAAA\nwH85juM+VVWVQAAAwH/kOA4/VVWVQAAAwH+rqio/VVWVQAAAwH9yHEc/VVWVQAAAwH85jmM/\nVVWVQAAAwH8AAIA/VVWVQAAAwH/kOI4/VVWVQAAAwH/HcZw/VVWVQAAAwH+rqqo/VVWVQAAA\nwH+O47g/VVWVQAAAwH9yHMc/VVWVQAAAwH9VVdU/VVWVQAAAwH85juM/VVWVQAAAwH8cx/E/\nVVWVQAAAwH8AAABAVVWVQAAAwH9yHAdAVVWVQAAAwH/kOA5AVVWVQAAAwH9VVRVAVVWVQAAA\nwH/HcRxAVVWVQAAAwH85jiNAVVWVQAAAwH+rqipAVVWVQAAAwH8cxzFAVVWVQAAAwH+O4zhA\nVVWVQAAAwH8AAEBAVVWVQAAAwH9yHEdAVVWVQAAAwH/kOE5AVVWVQAAAwH9VVVVAVVWVQAAA\nwH/HcVxAVVWVQAAAwH85jmNAVVWVQAAAwH+rqmpAVVWVQAAAwH8cx3FAVVWVQAAAwH+O43hA\nVVWVQAAAwH8AAIBAVVWVQAAAwH85joNAVVWVQAAAwH9yHIdAVVWVQAAAwH+rqopAVVWVQAAA\nwH/kOI5AVVWVQAAAwH8cx5FAVVWVQAAAwH9VVZVAVVWVQAAAwH+O45hAVVWVQAAAwH/HcZxA\nVVWVQAAAwH8AAKBAVVWVQAAAwH85jqNAVVWVQAAAwH9yHKdAVVWVQAAAwH+rqqpAVVWVQAAA\nwH/kOK5AVVWVQAAAwH8cx7FAVVWVQAAAwH9VVbVAVVWVQAAAwH+O47hAVVWVQAAAwH/HcbxA\nVVWVQAAAwH8AAMBAVVWVQAAAwH85jsNAVVWVQAAAwH9yHMdAVVWVQAAAwH+rqspAVVWVQAAA\nwH/kOM5AVVWVQAAAwH8cx9FAVVWVQAAAwH9VVdVAVVWVQAAAwH+O49hAVVWVQAAAwH/HcdxA\nVVWVQAAAwH8AAOBAVVWVQAAAwH85juNAVVWVQAAAwH9yHOdAVVWVQAAAwH+rqupAVVWVQAAA\nwH/kOO5AVVWVQAAAwH8cx/FAVVWVQAAAwH9VVfVAVVWVQAAAwH+O4/hAVVWVQAAAwH/HcfxA\nVVWVQAAAwH8AAABBVVWVQAAAwH8cxwFBVVWVQAAAwH85jgNBVVWVQAAAwH9VVQVBVVWVQAAA\nwH9yHAdBVVWVQAAAwH+O4whBVVWVQAAAwH+rqgpBVVWVQAAAwH/HcQxBVVWVQAAAwH/kOA5B\nVVWVQAAAwH8AABBBVVWVQAAAwH8cxxFBVVWVQAAAwH85jhNBVVWVQAAAwH9VVRVBVVWVQAAA\nwH9yHBdBVVWVQAAAwH+O4xhBVVWVQAAAwH+rqhpBVVWVQAAAwH/HcRxBVVWVQAAAwH/kOB5B\nVVWVQAAAwH8AACBBVVWVQAAAwH8AAIC/juOYQOQ4Dr85jmO/juOYQKuqKr9yHEe/juOYQHIc\nR7+rqiq/juOYQDmOY7/kOA6/juOYQAAAgL85juO+juOYQAAAwH+rqqq+juOYQAAAwH85jmO+\njuOYQAAAwH85juO9juOYQAAAwH8AAAAAjuOYQAAAwH85juM9juOYQAAAwH85jmM+juOYQAAA\nwH+rqqo+juOYQAAAwH85juM+juOYQAAAwH/kOA4/juOYQAAAwH+rqio/juOYQAAAwH9yHEc/\njuOYQAAAwH85jmM/juOYQAAAwH8AAIA/juOYQAAAwH/kOI4/juOYQAAAwH/HcZw/juOYQAAA\nwH+rqqo/juOYQAAAwH+O47g/juOYQAAAwH9yHMc/juOYQAAAwH9VVdU/juOYQAAAwH85juM/\njuOYQAAAwH8cx/E/juOYQAAAwH8AAABAjuOYQAAAwH9yHAdAjuOYQAAAwH/kOA5AjuOYQAAA\nwH9VVRVAjuOYQAAAwH/HcRxAjuOYQAAAwH85jiNAjuOYQAAAwH+rqipAjuOYQAAAwH8cxzFA\njuOYQAAAwH+O4zhAjuOYQAAAwH8AAEBAjuOYQAAAwH9yHEdAjuOYQAAAwH/kOE5AjuOYQAAA\nwH9VVVVAjuOYQAAAwH/HcVxAjuOYQAAAwH85jmNAjuOYQAAAwH+rqmpAjuOYQAAAwH8cx3FA\njuOYQAAAwH+O43hAjuOYQAAAwH8AAIBAjuOYQAAAwH85joNAjuOYQAAAwH9yHIdAjuOYQAAA\nwH+rqopAjuOYQAAAwH/kOI5AjuOYQAAAwH8cx5FAjuOYQAAAwH9VVZVAjuOYQAAAwH+O45hA\njuOYQAAAwH/HcZxAjuOYQAAAwH8AAKBAjuOYQAAAwH85jqNAjuOYQAAAwH9yHKdAjuOYQAAA\nwH+rqqpAjuOYQAAAwH/kOK5AjuOYQAAAwH8cx7FAjuOYQAAAwH9VVbVAjuOYQAAAwH+O47hA\njuOYQAAAwH/HcbxAjuOYQAAAwH8AAMBAjuOYQAAAwH85jsNAjuOYQAAAwH9yHMdAjuOYQAAA\nwH+rqspAjuOYQAAAwH/kOM5AjuOYQAAAwH8cx9FAjuOYQAAAwH9VVdVAjuOYQAAAwH+O49hA\njuOYQAAAwH/HcdxAjuOYQAAAwH8AAOBAjuOYQAAAwH85juNAjuOYQAAAwH9yHOdAjuOYQAAA\nwH+rqupAjuOYQAAAwH/kOO5AjuOYQAAAwH8cx/FAjuOYQAAAwH9VVfVAjuOYQAAAwH+O4/hA\njuOYQAAAwH/HcfxAjuOYQAAAwH8AAABBjuOYQAAAwH8cxwFBjuOYQAAAwH85jgNBjuOYQAAA\nwH9VVQVBjuOYQAAAwH9yHAdBjuOYQAAAwH+O4whBjuOYQAAAwH+rqgpBjuOYQAAAwH/HcQxB\njuOYQAAAwH/kOA5BjuOYQAAAwH8AABBBjuOYQAAAwH8cxxFBjuOYQAAAwH85jhNBjuOYQAAA\nwH9VVRVBjuOYQAAAwH9yHBdBjuOYQAAAwH+O4xhBjuOYQAAAwH+rqhpBjuOYQAAAwH/HcRxB\njuOYQAAAwH/kOB5BjuOYQAAAwH8AACBBjuOYQAAAwH8AAIC/x3GcQHIcR785jmO/x3GcQDmO\nY79yHEe/x3GcQAAAgL+rqiq/x3GcQAAAwH/kOA6/x3GcQAAAwH85juO+x3GcQAAAwH+rqqq+\nx3GcQAAAwH85jmO+x3GcQAAAwH85juO9x3GcQAAAwH8AAAAAx3GcQAAAwH85juM9x3GcQAAA\nwH85jmM+x3GcQAAAwH+rqqo+x3GcQAAAwH85juM+x3GcQAAAwH/kOA4/x3GcQAAAwH+rqio/\nx3GcQAAAwH9yHEc/x3GcQAAAwH85jmM/x3GcQAAAwH8AAIA/x3GcQAAAwH/kOI4/x3GcQAAA\nwH/HcZw/x3GcQAAAwH+rqqo/x3GcQAAAwH+O47g/x3GcQAAAwH9yHMc/x3GcQAAAwH9VVdU/\nx3GcQAAAwH85juM/x3GcQAAAwH8cx/E/x3GcQAAAwH8AAABAx3GcQAAAwH9yHAdAx3GcQAAA\nwH/kOA5Ax3GcQAAAwH9VVRVAx3GcQAAAwH/HcRxAx3GcQAAAwH85jiNAx3GcQAAAwH+rqipA\nx3GcQAAAwH8cxzFAx3GcQAAAwH+O4zhAx3GcQAAAwH8AAEBAx3GcQAAAwH9yHEdAx3GcQAAA\nwH/kOE5Ax3GcQAAAwH9VVVVAx3GcQAAAwH/HcVxAx3GcQAAAwH85jmNAx3GcQAAAwH+rqmpA\nx3GcQAAAwH8cx3FAx3GcQAAAwH+O43hAx3GcQAAAwH8AAIBAx3GcQAAAwH85joNAx3GcQAAA\nwH9yHIdAx3GcQAAAwH+rqopAx3GcQAAAwH/kOI5Ax3GcQAAAwH8cx5FAx3GcQAAAwH9VVZVA\nx3GcQAAAwH+O45hAx3GcQAAAwH/HcZxAx3GcQAAAwH8AAKBAx3GcQAAAwH85jqNAx3GcQAAA\nwH9yHKdAx3GcQAAAwH+rqqpAx3GcQAAAwH/kOK5Ax3GcQAAAwH8cx7FAx3GcQAAAwH9VVbVA\nx3GcQAAAwH+O47hAx3GcQAAAwH/HcbxAx3GcQAAAwH8AAMBAx3GcQAAAwH85jsNAx3GcQAAA\nwH9yHMdAx3GcQAAAwH+rqspAx3GcQAAAwH/kOM5Ax3GcQAAAwH8cx9FAx3GcQAAAwH9VVdVA\nx3GcQAAAwH+O49hAx3GcQAAAwH/HcdxAx3GcQAAAwH8AAOBAx3GcQAAAwH85juNAx3GcQAAA\nwH9yHOdAx3GcQAAAwH+rqupAx3GcQAAAwH/kOO5Ax3GcQAAAwH8cx/FAx3GcQAAAwH9VVfVA\nx3GcQAAAwH+O4/hAx3GcQAAAwH/HcfxAx3GcQAAAwH8AAABBx3GcQAAAwH8cxwFBx3GcQAAA\nwH85jgNBx3GcQAAAwH9VVQVBx3GcQAAAwH9yHAdBx3GcQAAAwH+O4whBx3GcQAAAwH+rqgpB\nx3GcQAAAwH/HcQxBx3GcQAAAwH/kOA5Bx3GcQAAAwH8AABBBx3GcQAAAwH8cxxFBx3GcQAAA\nwH85jhNBx3GcQAAAwH9VVRVBx3GcQAAAwH9yHBdBx3GcQAAAwH+O4xhBx3GcQAAAwH+rqhpB\nx3GcQAAAwH/HcRxBx3GcQAAAwH/kOB5Bx3GcQAAAwH8AACBBx3GcQAAAwH8AAIC/AACgQAAA\ngL85jmO/AACgQAAAwH9yHEe/AACgQAAAwH+rqiq/AACgQAAAwH/kOA6/AACgQAAAwH85juO+\nAACgQAAAwH+rqqq+AACgQAAAwH85jmO+AACgQAAAwH85juO9AACgQAAAwH8AAAAAAACgQAAA\nwH85juM9AACgQAAAwH85jmM+AACgQAAAwH+rqqo+AACgQAAAwH85juM+AACgQAAAwH/kOA4/\nAACgQAAAwH+rqio/AACgQAAAwH9yHEc/AACgQAAAwH85jmM/AACgQAAAwH8AAIA/AACgQAAA\nwH/kOI4/AACgQAAAwH/HcZw/AACgQAAAwH+rqqo/AACgQAAAwH+O47g/AACgQAAAwH9yHMc/\nAACgQAAAwH9VVdU/AACgQAAAwH85juM/AACgQAAAwH8cx/E/AACgQAAAwH8AAABAAACgQAAA\nwH9yHAdAAACgQAAAwH/kOA5AAACgQAAAwH9VVRVAAACgQAAAwH/HcRxAAACgQAAAwH85jiNA\nAACgQAAAwH+rqipAAACgQAAAwH8cxzFAAACgQAAAwH+O4zhAAACgQAAAwH8AAEBAAACgQAAA\nwH9yHEdAAACgQAAAwH/kOE5AAACgQAAAwH9VVVVAAACgQAAAwH/HcVxAAACgQAAAwH85jmNA\nAACgQAAAwH+rqmpAAACgQAAAwH8cx3FAAACgQAAAwH+O43hAAACgQAAAwH8AAIBAAACgQAAA\nwH85joNAAACgQAAAwH9yHIdAAACgQAAAwH+rqopAAACgQAAAwH/kOI5AAACgQAAAwH8cx5FA\nAACgQAAAwH9VVZVAAACgQAAAwH+O45hAAACgQAAAwH/HcZxAAACgQAAAwH8AAKBAAACgQAAA\nwH85jqNAAACgQAAAwH9yHKdAAACgQAAAwH+rqqpAAACgQAAAwH/kOK5AAACgQAAAwH8cx7FA\nAACgQAAAwH9VVbVAAACgQAAAwH+O47hAAACgQAAAwH/HcbxAAACgQAAAwH8AAMBAAACgQAAA\nwH85jsNAAACgQAAAwH9yHMdAAACgQAAAwH+rqspAAACgQAAAwH/kOM5AAACgQAAAwH8cx9FA\nAACgQAAAwH9VVdVAAACgQAAAwH+O49hAAACgQAAAwH/HcdxAAACgQAAAwH8AAOBAAACgQAAA\nwH85juNAAACgQAAAwH9yHOdAAACgQAAAwH+rqupAAACgQAAAwH/kOO5AAACgQAAAwH8cx/FA\nAACgQAAAwH9VVfVAAACgQAAAwH+O4/hAAACgQAAAwH/HcfxAAACgQAAAwH8AAABBAACgQAAA\nwH8cxwFBAACgQAAAwH85jgNBAACgQAAAwH9VVQVBAACgQAAAwH9yHAdBAACgQAAAwH+O4whB\nAACgQAAAwH+rqgpBAACgQAAAwH/HcQxBAACgQAAAwH/kOA5BAACgQAAAwH8AABBBAACgQAAA\nwH8cxxFBAACgQAAAwH85jhNBAACgQAAAwH9VVRVBAACgQAAAwH9yHBdBAACgQAAAwH+O4xhB\nAACgQAAAwH+rqhpBAACgQAAAwH/HcRxBAACgQAAAwH/kOB5BAACgQAAAwH8AACBBAACgQAAA\nwH8AAIC/OY6jQAAAwH85jmO/OY6jQAAAwH9yHEe/OY6jQAAAwH+rqiq/OY6jQAAAwH/kOA6/\nOY6jQAAAwH85juO+OY6jQAAAwH+rqqq+OY6jQAAAwH85jmO+OY6jQAAAwH85juO9OY6jQAAA\nwH8AAAAAOY6jQAAAwH85juM9OY6jQAAAwH85jmM+OY6jQAAAwH+rqqo+OY6jQAAAwH85juM+\nOY6jQAAAwH/kOA4/OY6jQAAAwH+rqio/OY6jQAAAwH9yHEc/OY6jQAAAwH85jmM/OY6jQAAA\nwH8AAIA/OY6jQAAAwH/kOI4/OY6jQAAAwH/HcZw/OY6jQAAAwH+rqqo/OY6jQAAAwH+O47g/\nOY6jQAAAwH9yHMc/OY6jQAAAwH9VVdU/OY6jQAAAwH85juM/OY6jQAAAwH8cx/E/OY6jQAAA\nwH8AAABAOY6jQAAAwH9yHAdAOY6jQAAAwH/kOA5AOY6jQAAAwH9VVRVAOY6jQAAAwH/HcRxA\nOY6jQAAAwH85jiNAOY6jQAAAwH+rqipAOY6jQAAAwH8cxzFAOY6jQAAAwH+O4zhAOY6jQAAA\nwH8AAEBAOY6jQAAAwH9yHEdAOY6jQAAAwH/kOE5AOY6jQAAAwH9VVVVAOY6jQAAAwH/HcVxA\nOY6jQAAAwH85jmNAOY6jQAAAwH+rqmpAOY6jQAAAwH8cx3FAOY6jQAAAwH+O43hAOY6jQAAA\nwH8AAIBAOY6jQAAAwH85joNAOY6jQAAAwH9yHIdAOY6jQAAAwH+rqopAOY6jQAAAwH/kOI5A\nOY6jQAAAwH8cx5FAOY6jQAAAwH9VVZVAOY6jQAAAwH+O45hAOY6jQAAAwH/HcZxAOY6jQAAA\nwH8AAKBAOY6jQAAAwH85jqNAOY6jQAAAwH9yHKdAOY6jQAAAwH+rqqpAOY6jQAAAwH/kOK5A\nOY6jQAAAwH8cx7FAOY6jQAAAwH9VVbVAOY6jQAAAwH+O47hAOY6jQAAAwH/HcbxAOY6jQAAA\nwH8AAMBAOY6jQAAAwH85jsNAOY6jQAAAwH9yHMdAOY6jQAAAwH+rqspAOY6jQAAAwH/kOM5A\nOY6jQAAAwH8cx9FAOY6jQAAAwH9VVdVAOY6jQAAAwH+O49hAOY6jQAAAwH/HcdxAOY6jQAAA\nwH8AAOBAOY6jQAAAwH85juNAOY6jQAAAwH9yHOdAOY6jQAAAwH+rqupAOY6jQAAAwH/kOO5A\nOY6jQAAAwH8cx/FAOY6jQAAAwH9VVfVAOY6jQAAAwH+O4/hAOY6jQAAAwH/HcfxAOY6jQAAA\nwH8AAABBOY6jQAAAwH8cxwFBOY6jQAAAwH85jgNBOY6jQAAAwH9VVQVBOY6jQAAAwH9yHAdB\nOY6jQAAAwH+O4whBOY6jQAAAwH+rqgpBOY6jQAAAwH/HcQxBOY6jQAAAwH/kOA5BOY6jQAAA\nwH8AABBBOY6jQAAAwH8cxxFBOY6jQAAAwH85jhNBOY6jQAAAwH9VVRVBOY6jQAAAwH9yHBdB\nOY6jQAAAwH+O4xhBOY6jQAAAwH+rqhpBOY6jQAAAwH/HcRxBOY6jQAAAwH/kOB5BOY6jQAAA\nwH8AACBBOY6jQAAAwH8AAIC/chynQAAAwH85jmO/chynQAAAwH9yHEe/chynQAAAwH+rqiq/\nchynQAAAwH/kOA6/chynQAAAwH85juO+chynQAAAwH+rqqq+chynQAAAwH85jmO+chynQAAA\nwH85juO9chynQAAAwH8AAAAAchynQAAAwH85juM9chynQAAAwH85jmM+chynQAAAwH+rqqo+\nchynQAAAwH85juM+chynQAAAwH/kOA4/chynQAAAwH+rqio/chynQAAAwH9yHEc/chynQAAA\nwH85jmM/chynQAAAwH8AAIA/chynQAAAwH/kOI4/chynQAAAwH/HcZw/chynQAAAwH+rqqo/\nchynQAAAwH+O47g/chynQAAAwH9yHMc/chynQAAAwH9VVdU/chynQAAAwH85juM/chynQAAA\nwH8cx/E/chynQAAAwH8AAABAchynQAAAwH9yHAdAchynQAAAwH/kOA5AchynQAAAwH9VVRVA\nchynQAAAwH/HcRxAchynQAAAwH85jiNAchynQAAAwH+rqipAchynQAAAwH8cxzFAchynQAAA\nwH+O4zhAchynQAAAwH8AAEBAchynQAAAwH9yHEdAchynQAAAwH/kOE5AchynQAAAwH9VVVVA\nchynQAAAwH/HcVxAchynQAAAwH85jmNAchynQAAAwH+rqmpAchynQAAAwH8cx3FAchynQAAA\nwH+O43hAchynQAAAwH8AAIBAchynQAAAwH85joNAchynQAAAwH9yHIdAchynQAAAwH+rqopA\nchynQAAAwH/kOI5AchynQAAAwH8cx5FAchynQAAAwH9VVZVAchynQAAAwH+O45hAchynQAAA\nwH/HcZxAchynQAAAwH8AAKBAchynQAAAwH85jqNAchynQAAAwH9yHKdAchynQAAAwH+rqqpA\nchynQAAAwH/kOK5AchynQAAAwH8cx7FAchynQAAAwH9VVbVAchynQAAAwH+O47hAchynQAAA\nwH/HcbxAchynQAAAwH8AAMBAchynQAAAwH85jsNAchynQAAAwH9yHMdAchynQAAAwH+rqspA\nchynQAAAwH/kOM5AchynQAAAwH8cx9FAchynQAAAwH9VVdVAchynQAAAwH+O49hAchynQAAA\nwH/HcdxAchynQAAAwH8AAOBAchynQAAAwH85juNAchynQAAAwH9yHOdAchynQAAAwH+rqupA\nchynQAAAwH/kOO5AchynQAAAwH8cx/FAchynQAAAwH9VVfVAchynQAAAwH+O4/hAchynQAAA\nwH/HcfxAchynQAAAwH8AAABBchynQAAAwH8cxwFBchynQAAAwH85jgNBchynQAAAwH9VVQVB\nchynQAAAwH9yHAdBchynQAAAwH+O4whBchynQAAAwH+rqgpBchynQAAAwH/HcQxBchynQAAA\nwH/kOA5BchynQAAAwH8AABBBchynQAAAwH8cxxFBchynQAAAwH85jhNBchynQAAAwH9VVRVB\nchynQAAAwH9yHBdBchynQAAAwH+O4xhBchynQAAAwH+rqhpBchynQAAAwH/HcRxBchynQAAA\nwH/kOB5BchynQAAAwH8AACBBchynQAAAwH8AAIC/q6qqQAAAwH85jmO/q6qqQAAAwH9yHEe/\nq6qqQAAAwH+rqiq/q6qqQAAAwH/kOA6/q6qqQAAAwH85juO+q6qqQAAAwH+rqqq+q6qqQAAA\nwH85jmO+q6qqQAAAwH85juO9q6qqQAAAwH8AAAAAq6qqQAAAwH85juM9q6qqQAAAwH85jmM+\nq6qqQAAAwH+rqqo+q6qqQAAAwH85juM+q6qqQAAAwH/kOA4/q6qqQAAAwH+rqio/q6qqQAAA\nwH9yHEc/q6qqQAAAwH85jmM/q6qqQAAAwH8AAIA/q6qqQAAAwH/kOI4/q6qqQAAAwH/HcZw/\nq6qqQAAAwH+rqqo/q6qqQAAAwH+O47g/q6qqQAAAwH9yHMc/q6qqQAAAwH9VVdU/q6qqQAAA\nwH85juM/q6qqQAAAwH8cx/E/q6qqQAAAwH8AAABAq6qqQAAAwH9yHAdAq6qqQAAAwH/kOA5A\nq6qqQAAAwH9VVRVAq6qqQAAAwH/HcRxAq6qqQAAAwH85jiNAq6qqQAAAwH+rqipAq6qqQAAA\nwH8cxzFAq6qqQAAAwH+O4zhAq6qqQAAAwH8AAEBAq6qqQAAAwH9yHEdAq6qqQAAAwH/kOE5A\nq6qqQAAAwH9VVVVAq6qqQAAAwH/HcVxAq6qqQAAAwH85jmNAq6qqQAAAwH+rqmpAq6qqQAAA\nwH8cx3FAq6qqQAAAwH+O43hAq6qqQAAAwH8AAIBAq6qqQAAAwH85joNAq6qqQAAAwH9yHIdA\nq6qqQAAAwH+rqopAq6qqQAAAwH/kOI5Aq6qqQAAAwH8cx5FAq6qqQAAAwH9VVZVAq6qqQAAA\nwH+O45hAq6qqQAAAwH/HcZxAq6qqQAAAwH8AAKBAq6qqQAAAwH85jqNAq6qqQAAAwH9yHKdA\nq6qqQAAAwH+rqqpAq6qqQAAAwH/kOK5Aq6qqQAAAwH8cx7FAq6qqQAAAwH9VVbVAq6qqQAAA\nwH+O47hAq6qqQAAAwH/HcbxAq6qqQAAAwH8AAMBAq6qqQAAAwH85jsNAq6qqQAAAwH9yHMdA\nq6qqQAAAwH+rqspAq6qqQAAAwH/kOM5Aq6qqQAAAwH8cx9FAq6qqQAAAwH9VVdVAq6qqQAAA\nwH+O49hAq6qqQAAAwH/HcdxAq6qqQAAAwH8AAOBAq6qqQAAAwH85juNAq6qqQAAAwH9yHOdA\nq6qqQAAAwH+rqupAq6qqQAAAwH/kOO5Aq6qqQAAAwH8cx/FAq6qqQAAAwH9VVfVAq6qqQAAA\nwH+O4/hAq6qqQAAAwH/HcfxAq6qqQAAAwH8AAABBq6qqQAAAwH8cxwFBq6qqQAAAwH85jgNB\nq6qqQAAAwH9VVQVBq6qqQAAAwH9yHAdBq6qqQAAAwH+O4whBq6qqQAAAwH+rqgpBq6qqQAAA\nwH/HcQxBq6qqQAAAwH/kOA5Bq6qqQAAAwH8AABBBq6qqQAAAwH8cxxFBq6qqQAAAwH85jhNB\nq6qqQAAAwH9VVRVBq6qqQAAAwH9yHBdBq6qqQAAAwH+O4xhBq6qqQAAAwH+rqhpBq6qqQAAA\nwH/HcRxBq6qqQAAAwH/kOB5Bq6qqQAAAwH8AACBBq6qqQAAAwH8AAIC/5DiuQAAAwH85jmO/\n5DiuQAAAwH9yHEe/5DiuQAAAwH+rqiq/5DiuQAAAwH/kOA6/5DiuQAAAwH85juO+5DiuQAAA\nwH+rqqq+5DiuQAAAwH85jmO+5DiuQAAAwH85juO95DiuQAAAwH8AAAAA5DiuQAAAwH85juM9\n5DiuQAAAwH85jmM+5DiuQAAAwH+rqqo+5DiuQAAAwH85juM+5DiuQAAAwH/kOA4/5DiuQAAA\nwH+rqio/5DiuQAAAwH9yHEc/5DiuQAAAwH85jmM/5DiuQAAAwH8AAIA/5DiuQAAAwH/kOI4/\n5DiuQAAAwH/HcZw/5DiuQAAAwH+rqqo/5DiuQAAAwH+O47g/5DiuQAAAwH9yHMc/5DiuQAAA\nwH9VVdU/5DiuQAAAwH85juM/5DiuQAAAwH8cx/E/5DiuQAAAwH8AAABA5DiuQAAAwH9yHAdA\n5DiuQAAAwH/kOA5A5DiuQAAAwH9VVRVA5DiuQAAAwH/HcRxA5DiuQAAAwH85jiNA5DiuQAAA\nwH+rqipA5DiuQAAAwH8cxzFA5DiuQAAAwH+O4zhA5DiuQAAAwH8AAEBA5DiuQAAAwH9yHEdA\n5DiuQAAAwH/kOE5A5DiuQAAAwH9VVVVA5DiuQAAAwH/HcVxA5DiuQAAAwH85jmNA5DiuQAAA\nwH+rqmpA5DiuQAAAwH8cx3FA5DiuQAAAwH+O43hA5DiuQAAAwH8AAIBA5DiuQAAAwH85joNA\n5DiuQAAAwH9yHIdA5DiuQAAAwH+rqopA5DiuQAAAwH/kOI5A5DiuQAAAwH8cx5FA5DiuQAAA\nwH9VVZVA5DiuQAAAwH+O45hA5DiuQAAAwH/HcZxA5DiuQAAAwH8AAKBA5DiuQAAAwH85jqNA\n5DiuQAAAwH9yHKdA5DiuQAAAwH+rqqpA5DiuQAAAwH/kOK5A5DiuQAAAwH8cx7FA5DiuQAAA\nwH9VVbVA5DiuQAAAwH+O47hA5DiuQAAAwH/HcbxA5DiuQAAAwH8AAMBA5DiuQAAAwH85jsNA\n5DiuQAAAwH9yHMdA5DiuQAAAwH+rqspA5DiuQAAAwH/kOM5A5DiuQAAAwH8cx9FA5DiuQAAA\nwH9VVdVA5DiuQAAAwH+O49hA5DiuQAAAwH/HcdxA5DiuQAAAwH8AAOBA5DiuQAAAwH85juNA\n5DiuQAAAwH9yHOdA5DiuQAAAwH+rqupA5DiuQAAAwH/kOO5A5DiuQAAAwH8cx/FA5DiuQAAA\nwH9VVfVA5DiuQAAAwH+O4/hA5DiuQAAAwH/HcfxA5DiuQAAAwH8AAABB5DiuQAAAwH8cxwFB\n5DiuQAAAwH85jgNB5DiuQAAAwH9VVQVB5DiuQAAAwH9yHAdB5DiuQAAAwH+O4whB5DiuQAAA\nwH+rqgpB5DiuQAAAwH/HcQxB5DiuQAAAwH/kOA5B5DiuQAAAwH8AABBB5DiuQAAAwH8cxxFB\n5DiuQAAAwH85jhNB5DiuQAAAwH9VVRVB5DiuQAAAwH9yHBdB5DiuQAAAwH+O4xhB5DiuQAAA\nwH+rqhpB5DiuQAAAwH/HcRxB5DiuQAAAwH/kOB5B5DiuQAAAwH8AACBB5DiuQAAAwH8AAIC/\nHMexQAAAwH85jmO/HMexQAAAwH9yHEe/HMexQAAAwH+rqiq/HMexQAAAwH/kOA6/HMexQAAA\nwH85juO+HMexQAAAwH+rqqq+HMexQAAAwH85jmO+HMexQAAAwH85juO9HMexQAAAwH8AAAAA\nHMexQAAAwH85juM9HMexQAAAwH85jmM+HMexQAAAwH+rqqo+HMexQAAAwH85juM+HMexQAAA\nwH/kOA4/HMexQAAAwH+rqio/HMexQAAAwH9yHEc/HMexQAAAwH85jmM/HMexQAAAwH8AAIA/\nHMexQAAAwH/kOI4/HMexQAAAwH/HcZw/HMexQAAAwH+rqqo/HMexQAAAwH+O47g/HMexQAAA\nwH9yHMc/HMexQAAAwH9VVdU/HMexQAAAwH85juM/HMexQAAAwH8cx/E/HMexQAAAwH8AAABA\nHMexQAAAwH9yHAdAHMexQAAAwH/kOA5AHMexQAAAwH9VVRVAHMexQAAAwH/HcRxAHMexQAAA\nwH85jiNAHMexQAAAwH+rqipAHMexQAAAwH8cxzFAHMexQAAAwH+O4zhAHMexQAAAwH8AAEBA\nHMexQAAAwH9yHEdAHMexQAAAwH/kOE5AHMexQAAAwH9VVVVAHMexQAAAwH/HcVxAHMexQAAA\nwH85jmNAHMexQAAAwH+rqmpAHMexQAAAwH8cx3FAHMexQAAAwH+O43hAHMexQAAAwH8AAIBA\nHMexQAAAwH85joNAHMexQAAAwH9yHIdAHMexQAAAwH+rqopAHMexQAAAwH/kOI5AHMexQAAA\nwH8cx5FAHMexQAAAwH9VVZVAHMexQAAAwH+O45hAHMexQAAAwH/HcZxAHMexQAAAwH8AAKBA\nHMexQAAAwH85jqNAHMexQAAAwH9yHKdAHMexQAAAwH+rqqpAHMexQAAAwH/kOK5AHMexQAAA\nwH8cx7FAHMexQAAAwH9VVbVAHMexQAAAwH+O47hAHMexQAAAwH/HcbxAHMexQAAAwH8AAMBA\nHMexQAAAwH85jsNAHMexQAAAwH9yHMdAHMexQAAAwH+rqspAHMexQAAAwH/kOM5AHMexQAAA\nwH8cx9FAHMexQAAAwH9VVdVAHMexQAAAwH+O49hAHMexQAAAwH/HcdxAHMexQAAAwH8AAOBA\nHMexQAAAwH85juNAHMexQAAAwH9yHOdAHMexQAAAwH+rqupAHMexQAAAwH/kOO5AHMexQAAA\nwH8cx/FAHMexQAAAwH9VVfVAHMexQAAAwH+O4/hAHMexQAAAwH/HcfxAHMexQAAAwH8AAABB\nHMexQAAAwH8cxwFBHMexQAAAwH85jgNBHMexQAAAwH9VVQVBHMexQAAAwH9yHAdBHMexQAAA\nwH+O4whBHMexQAAAwH+rqgpBHMexQAAAwH/HcQxBHMexQAAAwH/kOA5BHMexQAAAwH8AABBB\nHMexQAAAwH8cxxFBHMexQAAAwH85jhNBHMexQAAAwH9VVRVBHMexQAAAwH9yHBdBHMexQAAA\nwH+O4xhBHMexQAAAwH+rqhpBHMexQAAAwH/HcRxBHMexQAAAwH/kOB5BHMexQAAAwH8AACBB\nHMexQAAAwH8AAIC/VVW1QAAAwH85jmO/VVW1QAAAwH9yHEe/VVW1QAAAwH+rqiq/VVW1QAAA\nwH/kOA6/VVW1QAAAwH85juO+VVW1QAAAwH+rqqq+VVW1QAAAwH85jmO+VVW1QAAAwH85juO9\nVVW1QAAAwH8AAAAAVVW1QAAAwH85juM9VVW1QAAAwH85jmM+VVW1QAAAwH+rqqo+VVW1QAAA\nwH85juM+VVW1QAAAwH/kOA4/VVW1QAAAwH+rqio/VVW1QAAAwH9yHEc/VVW1QAAAwH85jmM/\nVVW1QAAAwH8AAIA/VVW1QAAAwH/kOI4/VVW1QAAAwH/HcZw/VVW1QAAAwH+rqqo/VVW1QAAA\nwH+O47g/VVW1QAAAwH9yHMc/VVW1QAAAwH9VVdU/VVW1QAAAwH85juM/VVW1QAAAwH8cx/E/\nVVW1QAAAwH8AAABAVVW1QAAAwH9yHAdAVVW1QAAAwH/kOA5AVVW1QAAAwH9VVRVAVVW1QAAA\nwH/HcRxAVVW1QAAAwH85jiNAVVW1QAAAwH+rqipAVVW1QAAAwH8cxzFAVVW1QAAAwH+O4zhA\nVVW1QAAAwH8AAEBAVVW1QAAAwH9yHEdAVVW1QAAAwH/kOE5AVVW1QAAAwH9VVVVAVVW1QAAA\nwH/HcVxAVVW1QAAAwH85jmNAVVW1QAAAwH+rqmpAVVW1QAAAwH8cx3FAVVW1QAAAwH+O43hA\nVVW1QAAAwH8AAIBAVVW1QAAAwH85joNAVVW1QAAAwH9yHIdAVVW1QAAAwH+rqopAVVW1QAAA\nwH/kOI5AVVW1QAAAwH8cx5FAVVW1QAAAwH9VVZVAVVW1QAAAwH+O45hAVVW1QAAAwH/HcZxA\nVVW1QAAAwH8AAKBAVVW1QAAAwH85jqNAVVW1QAAAwH9yHKdAVVW1QAAAwH+rqqpAVVW1QAAA\nwH/kOK5AVVW1QAAAwH8cx7FAVVW1QAAAwH9VVbVAVVW1QAAAwH+O47hAVVW1QAAAwH/HcbxA\nVVW1QAAAwH8AAMBAVVW1QAAAwH85jsNAVVW1QAAAwH9yHMdAVVW1QAAAwH+rqspAVVW1QAAA\nwH/kOM5AVVW1QAAAwH8cx9FAVVW1QAAAwH9VVdVAVVW1QAAAwH+O49hAVVW1QAAAwH/HcdxA\nVVW1QAAAwH8AAOBAVVW1QAAAwH85juNAVVW1QAAAwH9yHOdAVVW1QAAAwH+rqupAVVW1QAAA\nwH/kOO5AVVW1QAAAwH8cx/FAVVW1QAAAwH9VVfVAVVW1QAAAwH+O4/hAVVW1QAAAwH/HcfxA\nVVW1QAAAwH8AAABBVVW1QAAAwH8cxwFBVVW1QAAAwH85jgNBVVW1QAAAwH9VVQVBVVW1QAAA\nwH9yHAdBVVW1QAAAwH+O4whBVVW1QAAAwH+rqgpBVVW1QAAAwH/HcQxBVVW1QAAAwH/kOA5B\nVVW1QAAAwH8AABBBVVW1QAAAwH8cxxFBVVW1QAAAwH85jhNBVVW1QAAAwH9VVRVBVVW1QAAA\nwH9yHBdBVVW1QAAAwH+O4xhBVVW1QAAAwH+rqhpBVVW1QAAAwH/HcRxBVVW1QAAAwH/kOB5B\nVVW1QAAAwH8AACBBVVW1QAAAwH8AAIC/juO4QAAAwH85jmO/juO4QAAAwH9yHEe/juO4QAAA\nwH+rqiq/juO4QAAAwH/kOA6/juO4QAAAwH85juO+juO4QAAAwH+rqqq+juO4QAAAwH85jmO+\njuO4QAAAwH85juO9juO4QAAAwH8AAAAAjuO4QAAAwH85juM9juO4QAAAwH85jmM+juO4QAAA\nwH+rqqo+juO4QAAAwH85juM+juO4QAAAwH/kOA4/juO4QAAAwH+rqio/juO4QAAAwH9yHEc/\njuO4QAAAwH85jmM/juO4QAAAwH8AAIA/juO4QAAAwH/kOI4/juO4QAAAwH/HcZw/juO4QAAA\nwH+rqqo/juO4QAAAwH+O47g/juO4QAAAwH9yHMc/juO4QAAAwH9VVdU/juO4QAAAwH85juM/\njuO4QAAAwH8cx/E/juO4QAAAwH8AAABAjuO4QAAAwH9yHAdAjuO4QAAAwH/kOA5AjuO4QAAA\nwH9VVRVAjuO4QAAAwH/HcRxAjuO4QAAAwH85jiNAjuO4QAAAwH+rqipAjuO4QAAAwH8cxzFA\njuO4QAAAwH+O4zhAjuO4QAAAwH8AAEBAjuO4QAAAwH9yHEdAjuO4QAAAwH/kOE5AjuO4QAAA\nwH9VVVVAjuO4QAAAwH/HcVxAjuO4QAAAwH85jmNAjuO4QAAAwH+rqmpAjuO4QAAAwH8cx3FA\njuO4QAAAwH+O43hAjuO4QAAAwH8AAIBAjuO4QAAAwH85joNAjuO4QAAAwH9yHIdAjuO4QAAA\nwH+rqopAjuO4QAAAwH/kOI5AjuO4QAAAwH8cx5FAjuO4QAAAwH9VVZVAjuO4QAAAwH+O45hA\njuO4QAAAwH/HcZxAjuO4QAAAwH8AAKBAjuO4QAAAwH85jqNAjuO4QAAAwH9yHKdAjuO4QAAA\nwH+rqqpAjuO4QAAAwH/kOK5AjuO4QAAAwH8cx7FAjuO4QAAAwH9VVbVAjuO4QAAAwH+O47hA\njuO4QAAAwH/HcbxAjuO4QAAAwH8AAMBAjuO4QAAAwH85jsNAjuO4QAAAwH9yHMdAjuO4QAAA\nwH+rqspAjuO4QAAAwH/kOM5AjuO4QAAAwH8cx9FAjuO4QAAAwH9VVdVAjuO4QAAAwH+O49hA\njuO4QAAAwH/HcdxAjuO4QAAAwH8AAOBAjuO4QAAAwH85juNAjuO4QAAAwH9yHOdAjuO4QAAA\nwH+rqupAjuO4QAAAwH/kOO5AjuO4QAAAwH8cx/FAjuO4QAAAwH9VVfVAjuO4QAAAwH+O4/hA\njuO4QAAAwH/HcfxAjuO4QAAAwH8AAABBjuO4QAAAwH8cxwFBjuO4QAAAwH85jgNBjuO4QAAA\nwH9VVQVBjuO4QAAAwH9yHAdBjuO4QAAAwH+O4whBjuO4QAAAwH+rqgpBjuO4QAAAwH/HcQxB\njuO4QAAAwH/kOA5BjuO4QAAAwH8AABBBjuO4QAAAwH8cxxFBjuO4QAAAwH85jhNBjuO4QAAA\nwH9VVRVBjuO4QAAAwH9yHBdBjuO4QAAAwH+O4xhBjuO4QAAAwH+rqhpBjuO4QAAAwH/HcRxB\njuO4QAAAwH/kOB5BjuO4QAAAwH8AACBBjuO4QAAAwH8AAIC/x3G8QAAAwH85jmO/x3G8QAAA\nwH9yHEe/x3G8QAAAwH+rqiq/x3G8QAAAwH/kOA6/x3G8QAAAwH85juO+x3G8QAAAwH+rqqq+\nx3G8QAAAwH85jmO+x3G8QAAAwH85juO9x3G8QAAAwH8AAAAAx3G8QAAAwH85juM9x3G8QAAA\nwH85jmM+x3G8QAAAwH+rqqo+x3G8QAAAwH85juM+x3G8QAAAwH/kOA4/x3G8QAAAwH+rqio/\nx3G8QAAAwH9yHEc/x3G8QAAAwH85jmM/x3G8QAAAwH8AAIA/x3G8QAAAwH/kOI4/x3G8QAAA\nwH/HcZw/x3G8QAAAwH+rqqo/x3G8QAAAwH+O47g/x3G8QAAAwH9yHMc/x3G8QAAAwH9VVdU/\nx3G8QAAAwH85juM/x3G8QAAAwH8cx/E/x3G8QAAAwH8AAABAx3G8QAAAwH9yHAdAx3G8QAAA\nwH/kOA5Ax3G8QAAAwH9VVRVAx3G8QAAAwH/HcRxAx3G8QAAAwH85jiNAx3G8QAAAwH+rqipA\nx3G8QAAAwH8cxzFAx3G8QAAAwH+O4zhAx3G8QAAAwH8AAEBAx3G8QAAAwH9yHEdAx3G8QAAA\nwH/kOE5Ax3G8QAAAwH9VVVVAx3G8QAAAwH/HcVxAx3G8QAAAwH85jmNAx3G8QAAAwH+rqmpA\nx3G8QAAAwH8cx3FAx3G8QAAAwH+O43hAx3G8QAAAwH8AAIBAx3G8QAAAwH85joNAx3G8QAAA\nwH9yHIdAx3G8QAAAwH+rqopAx3G8QAAAwH/kOI5Ax3G8QAAAwH8cx5FAx3G8QAAAwH9VVZVA\nx3G8QAAAwH+O45hAx3G8QAAAwH/HcZxAx3G8QAAAwH8AAKBAx3G8QAAAwH85jqNAx3G8QAAA\nwH9yHKdAx3G8QAAAwH+rqqpAx3G8QAAAwH/kOK5Ax3G8QAAAwH8cx7FAx3G8QAAAwH9VVbVA\nx3G8QAAAwH+O47hAx3G8QAAAwH/HcbxAx3G8QAAAwH8AAMBAx3G8QAAAwH85jsNAx3G8QAAA\nwH9yHMdAx3G8QAAAwH+rqspAx3G8QAAAwH/kOM5Ax3G8QAAAwH8cx9FAx3G8QAAAwH9VVdVA\nx3G8QAAAwH+O49hAx3G8QAAAwH/HcdxAx3G8QAAAwH8AAOBAx3G8QAAAwH85juNAx3G8QAAA\nwH9yHOdAx3G8QAAAwH+rqupAx3G8QAAAwH/kOO5Ax3G8QAAAwH8cx/FAx3G8QAAAwH9VVfVA\nx3G8QAAAwH+O4/hAx3G8QAAAwH/HcfxAx3G8QAAAwH8AAABBx3G8QAAAwH8cxwFBx3G8QAAA\nwH85jgNBx3G8QAAAwH9VVQVBx3G8QAAAwH9yHAdBx3G8QAAAwH+O4whBx3G8QAAAwH+rqgpB\nx3G8QAAAwH/HcQxBx3G8QAAAwH/kOA5Bx3G8QAAAwH8AABBBx3G8QAAAwH8cxxFBx3G8QAAA\nwH85jhNBx3G8QAAAwH9VVRVBx3G8QAAAwH9yHBdBx3G8QAAAwH+O4xhBx3G8QAAAwH+rqhpB\nx3G8QAAAwH/HcRxBx3G8QAAAwH/kOB5Bx3G8QAAAwH8AACBBx3G8QAAAwH8AAIC/AADAQAAA\nwH85jmO/AADAQAAAwH9yHEe/AADAQAAAwH+rqiq/AADAQAAAwH/kOA6/AADAQAAAwH85juO+\nAADAQAAAwH+rqqq+AADAQAAAwH85jmO+AADAQAAAwH85juO9AADAQAAAwH8AAAAAAADAQAAA\nwH85juM9AADAQAAAwH85jmM+AADAQAAAwH+rqqo+AADAQAAAwH85juM+AADAQAAAwH/kOA4/\nAADAQAAAwH+rqio/AADAQAAAwH9yHEc/AADAQAAAwH85jmM/AADAQAAAwH8AAIA/AADAQAAA\nwH/kOI4/AADAQAAAwH/HcZw/AADAQAAAwH+rqqo/AADAQAAAwH+O47g/AADAQAAAwH9yHMc/\nAADAQAAAwH9VVdU/AADAQAAAwH85juM/AADAQAAAwH8cx/E/AADAQAAAwH8AAABAAADAQAAA\nwH9yHAdAAADAQAAAwH/kOA5AAADAQAAAwH9VVRVAAADAQAAAwH/HcRxAAADAQAAAwH85jiNA\nAADAQAAAwH+rqipAAADAQAAAwH8cxzFAAADAQAAAwH+O4zhAAADAQAAAwH8AAEBAAADAQAAA\nwH9yHEdAAADAQAAAwH/kOE5AAADAQAAAwH9VVVVAAADAQAAAwH/HcVxAAADAQAAAwH85jmNA\nAADAQAAAwH+rqmpAAADAQAAAwH8cx3FAAADAQAAAwH+O43hAAADAQAAAwH8AAIBAAADAQAAA\nwH85joNAAADAQAAAwH9yHIdAAADAQAAAwH+rqopAAADAQAAAwH/kOI5AAADAQAAAwH8cx5FA\nAADAQAAAwH9VVZVAAADAQAAAwH+O45hAAADAQAAAwH/HcZxAAADAQAAAwH8AAKBAAADAQAAA\nwH85jqNAAADAQAAAwH9yHKdAAADAQAAAwH+rqqpAAADAQAAAwH/kOK5AAADAQAAAwH8cx7FA\nAADAQAAAwH9VVbVAAADAQAAAwH+O47hAAADAQAAAwH/HcbxAAADAQAAAwH8AAMBAAADAQAAA\nwH85jsNAAADAQAAAwH9yHMdAAADAQAAAwH+rqspAAADAQAAAwH/kOM5AAADAQAAAwH8cx9FA\nAADAQAAAwH9VVdVAAADAQAAAwH+O49hAAADAQAAAwH/HcdxAAADAQAAAwH8AAOBAAADAQAAA\nwH85juNAAADAQAAAwH9yHOdAAADAQAAAwH+rqupAAADAQAAAwH/kOO5AAADAQAAAwH8cx/FA\nAADAQAAAwH9VVfVAAADAQAAAwH+O4/hAAADAQAAAwH/HcfxAAADAQAAAwH8AAABBAADAQAAA\nwH8cxwFBAADAQAAAwH85jgNBAADAQAAAwH9VVQVBAADAQAAAwH9yHAdBAADAQAAAwH+O4whB\nAADAQAAAwH+rqgpBAADAQAAAwH/HcQxBAADAQAAAwH/kOA5BAADAQAAAwH8AABBBAADAQAAA\nwH8cxxFBAADAQAAAwH85jhNBAADAQAAAwH9VVRVBAADAQAAAwH9yHBdBAADAQAAAwH+O4xhB\nAADAQAAAwH+rqhpBAADAQAAAwH/HcRxBAADAQAAAwH/kOB5BAADAQAAAwH8AACBBAADAQAAA\nwH8AAIC/OY7DQAAAwH85jmO/OY7DQAAAwH9yHEe/OY7DQAAAwH+rqiq/OY7DQAAAwH/kOA6/\nOY7DQAAAwH85juO+OY7DQAAAwH+rqqq+OY7DQAAAwH85jmO+OY7DQAAAwH85juO9OY7DQAAA\nwH8AAAAAOY7DQAAAwH85juM9OY7DQAAAwH85jmM+OY7DQAAAwH+rqqo+OY7DQAAAwH85juM+\nOY7DQAAAwH/kOA4/OY7DQAAAwH+rqio/OY7DQAAAwH9yHEc/OY7DQAAAwH85jmM/OY7DQAAA\nwH8AAIA/OY7DQAAAwH/kOI4/OY7DQAAAwH/HcZw/OY7DQAAAwH+rqqo/OY7DQAAAwH+O47g/\nOY7DQAAAwH9yHMc/OY7DQAAAwH9VVdU/OY7DQAAAwH85juM/OY7DQAAAwH8cx/E/OY7DQAAA\nwH8AAABAOY7DQAAAwH9yHAdAOY7DQAAAwH/kOA5AOY7DQAAAwH9VVRVAOY7DQAAAwH/HcRxA\nOY7DQAAAwH85jiNAOY7DQAAAwH+rqipAOY7DQAAAwH8cxzFAOY7DQAAAwH+O4zhAOY7DQAAA\nwH8AAEBAOY7DQAAAwH9yHEdAOY7DQAAAwH/kOE5AOY7DQAAAwH9VVVVAOY7DQAAAwH/HcVxA\nOY7DQAAAwH85jmNAOY7DQAAAwH+rqmpAOY7DQAAAwH8cx3FAOY7DQAAAwH+O43hAOY7DQAAA\nwH8AAIBAOY7DQAAAwH85joNAOY7DQAAAwH9yHIdAOY7DQAAAwH+rqopAOY7DQAAAwH/kOI5A\nOY7DQAAAwH8cx5FAOY7DQAAAwH9VVZVAOY7DQAAAwH+O45hAOY7DQAAAwH/HcZxAOY7DQAAA\nwH8AAKBAOY7DQAAAwH85jqNAOY7DQAAAwH9yHKdAOY7DQAAAwH+rqqpAOY7DQAAAwH/kOK5A\nOY7DQAAAwH8cx7FAOY7DQAAAwH9VVbVAOY7DQAAAwH+O47hAOY7DQAAAwH/HcbxAOY7DQAAA\nwH8AAMBAOY7DQAAAwH85jsNAOY7DQAAAwH9yHMdAOY7DQAAAwH+rqspAOY7DQAAAwH/kOM5A\nOY7DQAAAwH8cx9FAOY7DQAAAwH9VVdVAOY7DQAAAwH+O49hAOY7DQAAAwH/HcdxAOY7DQAAA\nwH8AAOBAOY7DQAAAwH85juNAOY7DQAAAwH9yHOdAOY7DQAAAwH+rqupAOY7DQAAAwH/kOO5A\nOY7DQAAAwH8cx/FAOY7DQAAAwH9VVfVAOY7DQAAAwH+O4/hAOY7DQAAAwH/HcfxAOY7DQAAA\nwH8AAABBOY7DQAAAwH8cxwFBOY7DQAAAwH85jgNBOY7DQAAAwH9VVQVBOY7DQAAAwH9yHAdB\nOY7DQAAAwH+O4whBOY7DQAAAwH+rqgpBOY7DQAAAwH/HcQxBOY7DQAAAwH/kOA5BOY7DQAAA\nwH8AABBBOY7DQAAAwH8cxxFBOY7DQAAAwH85jhNBOY7DQAAAwH9VVRVBOY7DQAAAwH9yHBdB\nOY7DQAAAwH+O4xhBOY7DQAAAwH+rqhpBOY7DQAAAwH/HcRxBOY7DQAAAwH/kOB5BOY7DQAAA\nwH8AACBBOY7DQAAAwH8AAIC/chzHQAAAwH85jmO/chzHQAAAwH9yHEe/chzHQAAAwH+rqiq/\nchzHQAAAwH/kOA6/chzHQAAAwH85juO+chzHQAAAwH+rqqq+chzHQAAAwH85jmO+chzHQAAA\nwH85juO9chzHQAAAwH8AAAAAchzHQAAAwH85juM9chzHQAAAwH85jmM+chzHQAAAwH+rqqo+\nchzHQAAAwH85juM+chzHQAAAwH/kOA4/chzHQAAAwH+rqio/chzHQAAAwH9yHEc/chzHQAAA\nwH85jmM/chzHQAAAwH8AAIA/chzHQAAAwH/kOI4/chzHQAAAwH/HcZw/chzHQAAAwH+rqqo/\nchzHQAAAwH+O47g/chzHQAAAwH9yHMc/chzHQAAAwH9VVdU/chzHQAAAwH85juM/chzHQAAA\nwH8cx/E/chzHQAAAwH8AAABAchzHQAAAwH9yHAdAchzHQAAAwH/kOA5AchzHQAAAwH9VVRVA\nchzHQAAAwH/HcRxAchzHQAAAwH85jiNAchzHQAAAwH+rqipAchzHQAAAwH8cxzFAchzHQAAA\nwH+O4zhAchzHQAAAwH8AAEBAchzHQAAAwH9yHEdAchzHQAAAwH/kOE5AchzHQAAAwH9VVVVA\nchzHQAAAwH/HcVxAchzHQAAAwH85jmNAchzHQAAAwH+rqmpAchzHQAAAwH8cx3FAchzHQAAA\nwH+O43hAchzHQAAAwH8AAIBAchzHQAAAwH85joNAchzHQAAAwH9yHIdAchzHQAAAwH+rqopA\nchzHQAAAwH/kOI5AchzHQAAAwH8cx5FAchzHQAAAwH9VVZVAchzHQAAAwH+O45hAchzHQAAA\nwH/HcZxAchzHQAAAwH8AAKBAchzHQAAAwH85jqNAchzHQAAAwH9yHKdAchzHQAAAwH+rqqpA\nchzHQAAAwH/kOK5AchzHQAAAwH8cx7FAchzHQAAAwH9VVbVAchzHQAAAwH+O47hAchzHQAAA\nwH/HcbxAchzHQAAAwH8AAMBAchzHQAAAwH85jsNAchzHQAAAwH9yHMdAchzHQAAAwH+rqspA\nchzHQAAAwH/kOM5AchzHQAAAwH8cx9FAchzHQAAAwH9VVdVAchzHQAAAwH+O49hAchzHQAAA\nwH/HcdxAchzHQAAAwH8AAOBAchzHQAAAwH85juNAchzHQAAAwH9yHOdAchzHQAAAwH+rqupA\nchzHQAAAwH/kOO5AchzHQAAAwH8cx/FAchzHQAAAwH9VVfVAchzHQAAAwH+O4/hAchzHQAAA\nwH/HcfxAchzHQAAAwH8AAABBchzHQAAAwH8cxwFBchzHQAAAwH85jgNBchzHQAAAwH9VVQVB\nchzHQAAAwH9yHAdBchzHQAAAwH+O4whBchzHQAAAwH+rqgpBchzHQAAAwH/HcQxBchzHQAAA\nwH/kOA5BchzHQAAAwH8AABBBchzHQAAAwH8cxxFBchzHQAAAwH85jhNBchzHQAAAwH9VVRVB\nchzHQAAAwH9yHBdBchzHQAAAwH+O4xhBchzHQAAAwH+rqhpBchzHQAAAwH/HcRxBchzHQAAA\nwH/kOB5BchzHQAAAwH8AACBBchzHQAAAwH8AAIC/q6rKQAAAwH85jmO/q6rKQAAAwH9yHEe/\nq6rKQAAAwH+rqiq/q6rKQAAAwH/kOA6/q6rKQAAAwH85juO+q6rKQAAAwH+rqqq+q6rKQAAA\nwH85jmO+q6rKQAAAwH85juO9q6rKQAAAwH8AAAAAq6rKQAAAwH85juM9q6rKQAAAwH85jmM+\nq6rKQAAAwH+rqqo+q6rKQAAAwH85juM+q6rKQAAAwH/kOA4/q6rKQAAAwH+rqio/q6rKQAAA\nwH9yHEc/q6rKQAAAwH85jmM/q6rKQAAAwH8AAIA/q6rKQAAAwH/kOI4/q6rKQAAAwH/HcZw/\nq6rKQAAAwH+rqqo/q6rKQAAAwH+O47g/q6rKQAAAwH9yHMc/q6rKQAAAwH9VVdU/q6rKQAAA\nwH85juM/q6rKQAAAwH8cx/E/q6rKQAAAwH8AAABAq6rKQAAAwH9yHAdAq6rKQAAAwH/kOA5A\nq6rKQAAAwH9VVRVAq6rKQAAAwH/HcRxAq6rKQAAAwH85jiNAq6rKQAAAwH+rqipAq6rKQAAA\nwH8cxzFAq6rKQAAAwH+O4zhAq6rKQAAAwH8AAEBAq6rKQAAAwH9yHEdAq6rKQAAAwH/kOE5A\nq6rKQAAAwH9VVVVAq6rKQAAAwH/HcVxAq6rKQAAAwH85jmNAq6rKQAAAwH+rqmpAq6rKQAAA\nwH8cx3FAq6rKQAAAwH+O43hAq6rKQAAAwH8AAIBAq6rKQAAAwH85joNAq6rKQAAAwH9yHIdA\nq6rKQAAAwH+rqopAq6rKQAAAwH/kOI5Aq6rKQAAAwH8cx5FAq6rKQAAAwH9VVZVAq6rKQAAA\nwH+O45hAq6rKQAAAwH/HcZxAq6rKQAAAwH8AAKBAq6rKQAAAwH85jqNAq6rKQAAAwH9yHKdA\nq6rKQAAAwH+rqqpAq6rKQAAAwH/kOK5Aq6rKQAAAwH8cx7FAq6rKQAAAwH9VVbVAq6rKQAAA\nwH+O47hAq6rKQAAAwH/HcbxAq6rKQAAAwH8AAMBAq6rKQAAAwH85jsNAq6rKQAAAwH9yHMdA\nq6rKQAAAwH+rqspAq6rKQAAAwH/kOM5Aq6rKQAAAwH8cx9FAq6rKQAAAwH9VVdVAq6rKQAAA\nwH+O49hAq6rKQAAAwH/HcdxAq6rKQAAAwH8AAOBAq6rKQAAAwH85juNAq6rKQAAAwH9yHOdA\nq6rKQAAAwH+rqupAq6rKQAAAwH/kOO5Aq6rKQAAAwH8cx/FAq6rKQAAAwH9VVfVAq6rKQAAA\nwH+O4/hAq6rKQAAAwH/HcfxAq6rKQAAAwH8AAABBq6rKQAAAwH8cxwFBq6rKQAAAwH85jgNB\nq6rKQAAAwH9VVQVBq6rKQAAAwH9yHAdBq6rKQAAAwH+O4whBq6rKQAAAwH+rqgpBq6rKQAAA\nwH/HcQxBq6rKQAAAwH/kOA5Bq6rKQAAAwH8AABBBq6rKQAAAwH8cxxFBq6rKQAAAwH85jhNB\nq6rKQAAAwH9VVRVBq6rKQAAAwH9yHBdBq6rKQAAAwH+O4xhBq6rKQAAAwH+rqhpBq6rKQAAA\nwH/HcRxBq6rKQAAAwH/kOB5Bq6rKQAAAwH8AACBBq6rKQAAAwH8AAIC/5DjOQAAAwH85jmO/\n5DjOQAAAwH9yHEe/5DjOQAAAwH+rqiq/5DjOQAAAwH/kOA6/5DjOQAAAwH85juO+5DjOQAAA\nwH+rqqq+5DjOQAAAwH85jmO+5DjOQAAAwH85juO95DjOQAAAwH8AAAAA5DjOQAAAwH85juM9\n5DjOQAAAwH85jmM+5DjOQAAAwH+rqqo+5DjOQAAAwH85juM+5DjOQAAAwH/kOA4/5DjOQAAA\nwH+rqio/5DjOQAAAwH9yHEc/5DjOQAAAwH85jmM/5DjOQAAAwH8AAIA/5DjOQAAAwH/kOI4/\n5DjOQAAAwH/HcZw/5DjOQAAAwH+rqqo/5DjOQAAAwH+O47g/5DjOQAAAwH9yHMc/5DjOQAAA\nwH9VVdU/5DjOQAAAwH85juM/5DjOQAAAwH8cx/E/5DjOQAAAwH8AAABA5DjOQAAAwH9yHAdA\n5DjOQAAAwH/kOA5A5DjOQAAAwH9VVRVA5DjOQAAAwH/HcRxA5DjOQAAAwH85jiNA5DjOQAAA\nwH+rqipA5DjOQAAAwH8cxzFA5DjOQAAAwH+O4zhA5DjOQAAAwH8AAEBA5DjOQAAAwH9yHEdA\n5DjOQAAAwH/kOE5A5DjOQAAAwH9VVVVA5DjOQAAAwH/HcVxA5DjOQAAAwH85jmNA5DjOQAAA\nwH+rqmpA5DjOQAAAwH8cx3FA5DjOQAAAwH+O43hA5DjOQAAAwH8AAIBA5DjOQAAAwH85joNA\n5DjOQAAAwH9yHIdA5DjOQAAAwH+rqopA5DjOQAAAwH/kOI5A5DjOQAAAwH8cx5FA5DjOQAAA\nwH9VVZVA5DjOQAAAwH+O45hA5DjOQAAAwH/HcZxA5DjOQAAAwH8AAKBA5DjOQAAAwH85jqNA\n5DjOQAAAwH9yHKdA5DjOQAAAwH+rqqpA5DjOQAAAwH/kOK5A5DjOQAAAwH8cx7FA5DjOQAAA\nwH9VVbVA5DjOQAAAwH+O47hA5DjOQAAAwH/HcbxA5DjOQAAAwH8AAMBA5DjOQAAAwH85jsNA\n5DjOQAAAwH9yHMdA5DjOQAAAwH+rqspA5DjOQAAAwH/kOM5A5DjOQAAAwH8cx9FA5DjOQAAA\nwH9VVdVA5DjOQAAAwH+O49hA5DjOQAAAwH/HcdxA5DjOQAAAwH8AAOBA5DjOQAAAwH85juNA\n5DjOQAAAwH9yHOdA5DjOQAAAwH+rqupA5DjOQAAAwH/kOO5A5DjOQAAAwH8cx/FA5DjOQAAA\nwH9VVfVA5DjOQAAAwH+O4/hA5DjOQAAAwH/HcfxA5DjOQAAAwH8AAABB5DjOQAAAwH8cxwFB\n5DjOQAAAwH85jgNB5DjOQAAAwH9VVQVB5DjOQAAAwH9yHAdB5DjOQAAAwH+O4whB5DjOQAAA\nwH+rqgpB5DjOQAAAwH/HcQxB5DjOQAAAwH/kOA5B5DjOQAAAwH8AABBB5DjOQAAAwH8cxxFB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juPYQAAAwH+rqhpBjuPYQAAAwH/HcRxB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\nwH/kOA5A5DgeQQAAwH9VVRVA5DgeQQAAwH/HcRxA5DgeQQAA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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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+<p id="rgl45520-aria" hidden>3D plot</p>
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wH/H+lBA0VifPwAAwH/RWF9A0VifPwAAwH/btm1A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OY7jPjmOw0DkOI4/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juPYQAAAwH+rqhpBjuPYQAAAwH/HcRxB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\nwH/kOA5A5DgeQQAAwH9VVRVA5DgeQQAAwH/HcRxA5DgeQQAA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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># pop3d(id = ids) # remove last plane</span></span></span>
 <span class="r-in"><span><span class="co"># }</span></span></span>
 </code></pre></div>
     </div>
diff --git a/reference/plotPoints3D.html b/reference/plotPoints3D.html
index aa11e8c..b67f43a 100644
--- a/reference/plotPoints3D.html
+++ b/reference/plotPoints3D.html
@@ -111,12 +111,12 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
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 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl61136-aria" hidden>3D plot</p>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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-<p id="rgl5461-aria" hidden>3D plot</p>
-<div id="rgl5461" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl5461-aria"></div>
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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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+<p id="rgl68964-aria" hidden>3D plot</p>
+<div id="rgl68964" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl68964-aria"></div>
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luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># pop3d(ids) # remove the last again</span></span></span>
 <span class="r-in"><span><span class="co"># }</span></span></span>
 </code></pre></div>
     </div>
diff --git a/reference/plotPolygon3D.html b/reference/plotPolygon3D.html
index fe74871..9eaaa60 100644
--- a/reference/plotPolygon3D.html
+++ b/reference/plotPolygon3D.html
@@ -131,37 +131,37 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fu"><a href="ini3D.html">ini3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">plotPolygon3D</span><span class="op">(</span><span class="va">pts</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl39094-aria" hidden>3D plot</p>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="ini3D.html">ini3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">plotPolygon3D</span><span class="op">(</span><span class="va">pts</span>, argsShade <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>color <span class="op">=</span> <span class="st">"red"</span>, alpha <span class="op">=</span> <span class="fl">1</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl65785-aria" hidden>3D plot</p>
-<div id="rgl65785" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl65785-aria"></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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 <span class="r-in"><span><span class="fu"><a href="ini3D.html">ini3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">plotPolygon3D</span><span class="op">(</span><span class="va">pts</span>, useFrame <span class="op">=</span> <span class="cn">TRUE</span>, argsShade <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>color <span class="op">=</span> <span class="st">"red"</span>, alpha <span class="op">=</span> <span class="fl">0.5</span><span class="op">)</span>,</span></span>
 <span class="r-in"><span>              argsFrame <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>color <span class="op">=</span> <span class="st">"green"</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl49623-aria" hidden>3D plot</p>
-<div id="rgl49623" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl49623-aria"></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="ini3D.html">ini3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">plotPolygon3D</span><span class="op">(</span><span class="va">pts</span>, useFrame <span class="op">=</span> <span class="cn">TRUE</span>, useLines <span class="op">=</span> <span class="cn">TRUE</span>, useShade <span class="op">=</span> <span class="cn">TRUE</span>,</span></span>
 <span class="r-in"><span>              argsShade <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>color <span class="op">=</span> <span class="st">"red"</span>, alpha <span class="op">=</span> <span class="fl">0.2</span><span class="op">)</span>,</span></span>
 <span class="r-in"><span>              argsLines <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>color <span class="op">=</span> <span class="st">"blue"</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl400-aria" hidden>3D plot</p>
-<div id="rgl400" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl400-aria"></div>
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Q8PqwPDT8lSZI+5hQ8PjTWBz8VvJw+5hQ8PrycAj8FL6c+5hQ8PojG+j72obE+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\n+9BYP4jG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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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5hQ8PqwPDT8lSZI+5hQ8PjTWBz8VvJw+5hQ8PrycAj8FL6c+5hQ8PojG+j72obE+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\n+9BYP4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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="ini3D.html">ini3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="va">ids</span> <span class="op">&lt;-</span> <span class="fu">plotPolygon3D</span><span class="op">(</span><span class="va">pts</span>, usePoints <span class="op">=</span> <span class="cn">TRUE</span>, useFrame <span class="op">=</span> <span class="cn">TRUE</span>,</span></span>
 <span class="r-in"><span>              argsPoints <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>texture <span class="op">=</span> <span class="fu"><a href="getTexture.html">getTexture</a></span><span class="op">(</span>pch <span class="op">=</span> <span class="fl">16</span>, cex <span class="op">=</span> <span class="fl">20</span><span class="op">)</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl36244-aria" hidden>3D plot</p>
-<div id="rgl36244" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl36244-aria"></div>
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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># pop3d(id = ids) # remove object again</span></span></span>
+<p id="rgl18795-aria" hidden>3D plot</p>
+<div id="rgl18795" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl18795-aria"></div>
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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># pop3d(id = ids) # remove object again</span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="co"># In general you have to finetune size and numbers when you use textures</span></span></span>
 <span class="r-in"><span><span class="co"># Different pch</span></span></span>
diff --git a/reference/plotPolytope.html b/reference/plotPolytope.html
index f198172..961bbda 100644
--- a/reference/plotPolytope.html
+++ b/reference/plotPolytope.html
@@ -415,9 +415,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span>                  <span class="op">-</span><span class="fl">0.0574885793030262</span>, <span class="fl">0.410274744033813</span>, <span class="fl">0</span>, <span class="op">-</span><span class="fl">0.042830865830183</span>, <span class="fl">0.97196090221405</span>,</span></span>
 <span class="r-in"><span>                  <span class="fl">0.231208890676498</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">1</span><span class="op">)</span>, nc <span class="op">=</span> <span class="fl">4</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span><span class="op">)</span></span></span>
-<p id="rgl93841-aria" hidden>3D plot</p>
-<div id="rgl93841" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl93841-aria"></div>
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gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="va">A</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span></span></span>
+<p id="rgl70733-aria" hidden>3D plot</p>
+<div id="rgl70733" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl70733-aria"></div>
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luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="va">A</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span></span></span>
 <span class="r-in"><span>   <span class="fl">3</span>, <span class="fl">2</span>, <span class="fl">5</span>,</span></span>
 <span class="r-in"><span>   <span class="fl">2</span>, <span class="fl">1</span>, <span class="fl">1</span>,</span></span>
 <span class="r-in"><span>   <span class="fl">1</span>, <span class="fl">1</span>, <span class="fl">3</span>,</span></span>
@@ -427,87 +427,87 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="va">obj</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">20</span>, <span class="fl">10</span>, <span class="fl">15</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="co"># LP model</span></span></span>
 <span class="r-in"><span><span class="fu">plotPolytope</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, labels <span class="op">=</span> <span class="st">"coord"</span><span class="op">)</span></span></span>
-<p id="rgl9262-aria" hidden>3D plot</p>
-<div id="rgl9262" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl9262-aria"></div>
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-<p id="rgl47695-aria" hidden>3D plot</p>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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+<p id="rgl70494-aria" hidden>3D plot</p>
+<div id="rgl70494" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl70494-aria"></div>
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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># ILP model</span></span></span>
 <span class="r-in"><span><span class="fu">plotPolytope</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span><span class="op">)</span></span></span>
-<p id="rgl36209-aria" hidden>3D plot</p>
-<div id="rgl36209" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl36209-aria"></div>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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(point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - 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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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(point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - 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textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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 <span class="r-in"><span><span class="fu">plotPolytope</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span><span class="op">)</span></span></span>
-<p id="rgl90710-aria" hidden>3D plot</p>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = 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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 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-<p id="rgl89980-aria" hidden>3D plot</p>
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+<p id="rgl28643-aria" hidden>3D plot</p>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = 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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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+<p id="rgl71439-aria" hidden>3D plot</p>
+<div id="rgl71439" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl71439-aria"></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="fu">plotPolytope</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, plotFaces <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="co"># Ex 2</span></span></span>
 <span class="r-in"><span><span class="va">view</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="op">-</span><span class="fl">0.812462985515594</span>, <span class="op">-</span><span class="fl">0.029454167932272</span>, <span class="fl">0.582268416881561</span>, <span class="fl">0</span>, <span class="fl">0.579295456409454</span>,</span></span>
 <span class="r-in"><span>                  <span class="op">-</span><span class="fl">0.153386667370796</span>, <span class="fl">0.800555109977722</span>, <span class="fl">0</span>, <span class="fl">0.0657325685024261</span>, <span class="fl">0.987727105617523</span>,</span></span>
 <span class="r-in"><span>                  <span class="fl">0.14168381690979</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">1</span><span class="op">)</span>, nc <span class="op">=</span> <span class="fl">4</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span><span class="op">)</span></span></span>
-<p id="rgl75369-aria" hidden>3D plot</p>
-<div id="rgl75369" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl75369-aria"></div>
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gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - 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(point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="va">A</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span></span></span>
+<p id="rgl28927-aria" hidden>3D plot</p>
+<div id="rgl28927" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl28927-aria"></div>
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gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - 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(point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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+<p id="rgl16924-aria" hidden>3D plot</p>
+<div id="rgl16924" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl16924-aria"></div>
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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># ILP model</span></span></span>
 <span class="r-in"><span><span class="fu">plotPolytope</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span><span class="op">)</span></span></span>
-<p id="rgl42962-aria" hidden>3D plot</p>
-<div id="rgl42962" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl42962-aria"></div>
-<script type="application/json" 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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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+<p id="rgl46010-aria" hidden>3D plot</p>
+<div id="rgl46010" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl46010-aria"></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># MILP model</span></span></span>
 <span class="r-in"><span><span class="fu">plotPolytope</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span><span class="op">)</span></span></span>
-<p id="rgl64943-aria" hidden>3D plot</p>
-<div id="rgl64943" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl64943-aria"></div>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="fu">plotPolytope</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span><span class="op">)</span></span></span>
-<p id="rgl67339-aria" hidden>3D plot</p>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = 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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="fu">plotPolytope</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, plotFaces <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></span>
-<p id="rgl47314-aria" hidden>3D plot</p>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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-<p id="rgl30269-aria" hidden>3D plot</p>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="fu">plotPolytope</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span><span class="op">)</span></span></span>
+<p id="rgl12159-aria" hidden>3D plot</p>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="fu">plotPolytope</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, plotFaces <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></span>
+<p id="rgl15998-aria" hidden>3D plot</p>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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+<p id="rgl7189-aria" hidden>3D plot</p>
+<div id="rgl7189" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl7189-aria"></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="fu">plotPolytope</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, plotFaces <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="co"># Ex 3</span></span></span>
 <span class="r-in"><span><span class="va">view</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">0.976349174976349</span>, <span class="op">-</span><span class="fl">0.202332556247711</span>, <span class="fl">0.0761845782399178</span>, <span class="fl">0</span>, <span class="fl">0.0903248339891434</span>,</span></span>
 <span class="r-in"><span>                  <span class="fl">0.701892614364624</span>, <span class="fl">0.706531345844269</span>, <span class="fl">0</span>, <span class="op">-</span><span class="fl">0.196427255868912</span>, <span class="op">-</span><span class="fl">0.682940244674683</span>,</span></span>
 <span class="r-in"><span>                  <span class="fl">0.703568696975708</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">1</span><span class="op">)</span>, nc <span class="op">=</span> <span class="fl">4</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span><span class="op">)</span></span></span>
-<p id="rgl9113-aria" hidden>3D plot</p>
-<div id="rgl9113" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl9113-aria"></div>
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(point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="va">A</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span></span></span>
+<p id="rgl36347-aria" hidden>3D plot</p>
+<div id="rgl36347" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl36347-aria"></div>
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vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="va">A</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span></span></span>
 <span class="r-in"><span>   <span class="op">-</span><span class="fl">1</span>, <span class="fl">1</span>, <span class="fl">0</span>,</span></span>
 <span class="r-in"><span>   <span class="fl">1</span>, <span class="fl">4</span>, <span class="fl">0</span>,</span></span>
 <span class="r-in"><span>   <span class="fl">2</span>, <span class="fl">1</span>, <span class="fl">0</span>,</span></span>
@@ -517,41 +517,41 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="va">b</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">5</span>, <span class="fl">45</span>, <span class="fl">27</span>, <span class="fl">24</span>, <span class="fl">10</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="va">obj</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">5</span>, <span class="fl">45</span>, <span class="fl">15</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">plotPolytope</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, labels <span class="op">=</span> <span class="st">"coord"</span><span class="op">)</span></span></span>
-<p id="rgl45492-aria" hidden>3D plot</p>
-<div id="rgl45492" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl45492-aria"></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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+<p id="rgl55616-aria" hidden>3D plot</p>
+<div id="rgl55616" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl55616-aria"></div>
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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># ILP model</span></span></span>
 <span class="r-in"><span><span class="fu">plotPolytope</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span><span class="op">)</span></span></span>
-<p id="rgl43551-aria" hidden>3D plot</p>
-<div id="rgl43551" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl43551-aria"></div>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># MILP model</span></span></span>
+<p id="rgl99682-aria" hidden>3D plot</p>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># MILP model</span></span></span>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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(point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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-<p id="rgl36409-aria" hidden>3D plot</p>
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2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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(point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - 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+<p id="rgl55957-aria" hidden>3D plot</p>
+<div id="rgl55957" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl55957-aria"></div>
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+<p id="rgl35729-aria" hidden>3D plot</p>
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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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+<p id="rgl66414-aria" hidden>3D plot</p>
+<div id="rgl66414" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl66414-aria"></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="fu">plotPolytope</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, plotFaces <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="co"># Ex 4</span></span></span>
 <span class="r-in"><span><span class="va">view</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="op">-</span><span class="fl">0.452365815639496</span>, <span class="op">-</span><span class="fl">0.446501553058624</span>, <span class="fl">0.77201122045517</span>, <span class="fl">0</span>, <span class="fl">0.886364221572876</span>,</span></span>
 <span class="r-in"><span>                  <span class="op">-</span><span class="fl">0.320795893669128</span>, <span class="fl">0.333835482597351</span>, <span class="fl">0</span>, <span class="fl">0.0986008867621422</span>, <span class="fl">0.835299551486969</span>,</span></span>
 <span class="r-in"><span>                  <span class="fl">0.540881276130676</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">1</span><span class="op">)</span>, nc <span class="op">=</span> <span class="fl">4</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span><span class="op">)</span></span></span>
-<p id="rgl35537-aria" hidden>3D plot</p>
-<div id="rgl35537" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl35537-aria"></div>
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(point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="va">Ab</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span></span></span>
+<p id="rgl82294-aria" hidden>3D plot</p>
+<div id="rgl82294" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl82294-aria"></div>
+<script type="application/json" data-for="rgl82294">{"x":{"material":{"color":"#000000","alpha":1,"lit":true,"ambient":"#000000","specular":"#FFFFFF","emission":"#000000","shininess":50,"smooth":true,"front":"filled","back":"filled","size":3,"lwd":1,"fog":true,"point_antialias":false,"line_antialias":false,"texture":null,"textype":"rgb","texmode":"modulate","texmipmap":false,"texminfilter":"linear","texmagfilter":"linear","texenvmap":false,"depth_mask":true,"depth_test":"less","isTransparent":false,"polygon_offset":[0,0],"margin":"","floating":false,"tag":"","blend":["src_alpha","one_minus_src_alpha"]},"rootSubscene":6044,"objects":{"6048":{"id":6048,"type":"light","vertices":[[0,0,1]],"colors":[[1,1,1,1],[1,1,1,1],[1,1,1,1]],"viewpoint":true,"finite":false},"6049":{"id":6049,"type":"background","material":{"lit":false,"back":"lines"},"colors":"0","centers":"1","sphere":false,"fogtype":"none","fogscale":1,"flags":32768},"6044":{"id":6044,"type":"subscene","par3d":{"antialias":8,"FOV":60,"ignoreExtent":false,"listeners":6044,"mouseMode":{"none":"none","left":"trackball","right":"zoom","middle":"fov","wheel":"pull"},"observer":[0,0,426.0845031738281],"modelMatrix":[[-0.4523658156394958,0.886364221572876,0.09860088676214218,0],[-0.4465015530586243,-0.3207958936691284,0.835299551486969,0],[0.7720112204551697,0.3338354825973511,0.5408812761306763,-426.0845031738281],[0,0,0,1]],"projMatrix":[[1.732050776481628,0,0,0],[0,1.732050776481628,0,0],[0,0,-1.99999988079071,-639.126708984375],[0,0,-1,0]],"skipRedraw":false,"userMatrix":[[-0.452365815639496,0.886364221572876,0.0986008867621422,0],[-0.446501553058624,-0.320795893669128,0.835299551486969,0],[0.77201122045517,0.333835482597351,0.540881276130676,0],[0,0,0,1]],"userProjection":[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]],"scale":[1,1,1],"viewport":{"x":0,"y":0,"width":1,"height":1},"zoom":1,"bbox":[123,-123,123,-123,123,-123],"windowRect":[0,0,256,256],"family":"sans","font":1,"cex":1,"useFreeType":true,"fontname":"NULL","maxClipPlanes":2147483647,"glVersion":"NA","activeSubscene":0},"embeddings":{"viewport":"replace","projection":"replace","model":"replace","mouse":"replace"},"objects":[6049,6048],"subscenes":[],"flags":33024}},"crosstalk":{"key":[],"group":[],"id":[],"options":[]},"width":700,"height":432.6328800988875,"buffer":{"accessors":[{"bufferView":0,"componentType":5121,"count":1,"type":"VEC4"},{"bufferView":1,"componentType":5121,"count":1,"type":"VEC3"}],"bufferViews":[{"buffer":0,"byteLength":4,"byteOffset":0},{"buffer":0,"byteLength":3,"byteOffset":4}],"buffers":[{"byteLength":7,"bytes":"AQEBAQAAAA=="}]},"context":{"shiny":false,"rmarkdown":null},"vertexShader":"#line 2 1\n// File 1 is the vertex shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\n\nattribute vec3 aPos;\nattribute vec4 aCol;\nuniform mat4 mvMatrix;\nuniform mat4 prMatrix;\nvarying vec4 vCol;\nvarying vec4 vPosition;\n\n#ifdef NEEDS_VNORMAL\nattribute vec3 aNorm;\nuniform mat4 normMatrix;\nvarying vec4 vNormal;\n#endif\n\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nattribute vec2 aTexcoord;\nvarying vec2 vTexcoord;\n#endif\n\n#ifdef FIXED_SIZE\nuniform vec3 textScale;\n#endif\n\n#ifdef FIXED_QUADS\nattribute vec3 aOfs;\n#endif\n\n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\nvarying float normz;\nuniform mat4 invPrMatrix;\n#else\nattribute vec3 aPos1;\nattribute vec3 aPos2;\nvarying float normz;\n#endif\n#endif // IS_TWOSIDED\n\n#ifdef FAT_LINES\nattribute vec3 aNext;\nattribute vec2 aPoint;\nvarying vec2 vPoint;\nvarying float vLength;\nuniform float uAspect;\nuniform float uLwd;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="va">Ab</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span></span></span>
 <span class="r-in"><span>   <span class="fl">1</span>, <span class="fl">1</span>, <span class="fl">2</span>, <span class="fl">5</span>,</span></span>
 <span class="r-in"><span>   <span class="fl">2</span>, <span class="op">-</span><span class="fl">1</span>, <span class="fl">0</span>, <span class="fl">3</span>,</span></span>
 <span class="r-in"><span>   <span class="op">-</span><span class="fl">1</span>, <span class="fl">2</span>, <span class="fl">1</span>, <span class="fl">3</span>,</span></span>
@@ -563,35 +563,35 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="va">b</span> <span class="op">&lt;-</span> <span class="va">Ab</span><span class="op">[</span>,<span class="fl">4</span><span class="op">]</span></span></span>
 <span class="r-in"><span><span class="va">obj</span> <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">1</span>,<span class="fl">1</span>,<span class="fl">3</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">plotPolytope</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span>, labels <span class="op">=</span> <span class="st">"coord"</span><span class="op">)</span></span></span>
-<p id="rgl8224-aria" hidden>3D plot</p>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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+<p id="rgl92861-aria" hidden>3D plot</p>
+<div id="rgl92861" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl92861-aria"></div>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = 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nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># ILP model</span></span></span>
 <span class="r-in"><span><span class="fu">plotPolytope</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span><span class="op">)</span></span></span>
-<p id="rgl24680-aria" hidden>3D plot</p>
-<div id="rgl24680" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl24680-aria"></div>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># MILP model</span></span></span>
+<p id="rgl81070-aria" hidden>3D plot</p>
+<div id="rgl81070" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl81070-aria"></div>
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USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  \n#ifndef IS_BRUSH\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\n  vPosition = mvMatrix * vec4(aPos, 1.);\n#endif\n  \n#ifndef FIXED_QUADS\n  gl_Position = prMatrix * vPosition;\n#endif\n#endif // !IS_BRUSH\n  \n#ifdef IS_POINTS\n  gl_PointSize = POINTSIZE;\n#endif\n  \n  vCol = aCol;\n  \n// USE_ENVMAP implies NEEDS_VNORMAL\n\n#ifdef NEEDS_VNORMAL\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\n#endif\n\n#ifdef USE_ENVMAP\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \n                        normalize(vNormal.xyz/vNormal.w)));\n#endif\n  \n#ifdef IS_TWOSIDED\n#ifdef HAS_NORMALS\n  /* normz should be calculated *after* projection */\n  normz = (invPrMatrix*vNormal).z;\n#else\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># MILP model</span></span></span>
 <span class="r-in"><span><span class="fu">plotPolytope</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"c"</span>,<span class="st">"i"</span><span class="op">)</span>, plotOptimum <span class="op">=</span> <span class="cn">TRUE</span>, obj <span class="op">=</span> <span class="va">obj</span><span class="op">)</span></span></span>
-<p id="rgl18289-aria" hidden>3D plot</p>
-<div id="rgl18289" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl18289-aria"></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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-<p id="rgl77111-aria" hidden>3D plot</p>
-<div id="rgl77111" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl77111-aria"></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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-<p id="rgl69436-aria" hidden>3D plot</p>
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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="fu">plotPolytope</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"c"</span><span class="op">)</span>, plotFaces <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></span>
-<p id="rgl34471-aria" hidden>3D plot</p>
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-<p id="rgl10323-aria" hidden>3D plot</p>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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-<p id="rgl1769-aria" hidden>3D plot</p>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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(point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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+<p id="rgl60439-aria" hidden>3D plot</p>
+<div id="rgl60439" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl60439-aria"></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg 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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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+<p id="rgl2487-aria" hidden>3D plot</p>
+<div id="rgl2487" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl2487-aria"></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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+<p id="rgl80116-aria" hidden>3D plot</p>
+<div id="rgl80116" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl80116-aria"></div>
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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="fu">plotPolytope</span><span class="op">(</span><span class="va">A</span>, <span class="va">b</span>, faces <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"c"</span>,<span class="st">"c"</span>,<span class="st">"c"</span><span class="op">)</span>, type <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"i"</span>,<span class="st">"i"</span>,<span class="st">"c"</span><span class="op">)</span>, plotFaces <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></span>
+<p id="rgl72613-aria" hidden>3D plot</p>
+<div id="rgl72613" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl72613-aria"></div>
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+<p id="rgl90622-aria" hidden>3D plot</p>
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+<p id="rgl29575-aria" hidden>3D plot</p>
+<div id="rgl29575" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl29575-aria"></div>
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textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - 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+<p id="rgl39417-aria" hidden>3D plot</p>
+<div id="rgl39417" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl39417-aria"></div>
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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># }</span></span></span>
 </code></pre></div>
     </div>
   </main><aside class="col-md-3"><nav id="toc"><h2>On this page</h2>
diff --git a/reference/plotRectangle3D.html b/reference/plotRectangle3D.html
index f6cf300..374aee3 100644
--- a/reference/plotRectangle3D.html
+++ b/reference/plotRectangle3D.html
@@ -111,9 +111,9 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span>           argsPlot3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>size<span class="op">=</span><span class="fl">2</span>, type<span class="op">=</span><span class="st">"s"</span>, alpha<span class="op">=</span><span class="fl">0.3</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="va">ids</span> <span class="op">&lt;-</span> <span class="fu">plotRectangle3D</span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">2</span>,<span class="fl">2</span>,<span class="fl">2</span><span class="op">)</span>, <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">3</span>,<span class="fl">3</span>,<span class="fl">2.5</span><span class="op">)</span>, argsPolygon3d <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>alpha <span class="op">=</span> <span class="fl">1</span><span class="op">)</span> <span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="finalize3D.html">finalize3D</a></span><span class="op">(</span><span class="op">)</span></span></span>
-<p id="rgl8178-aria" hidden>3D plot</p>
-<div id="rgl8178" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl8178-aria"></div>
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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 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vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># pop3d(id = ids) remove last object</span></span></span>
+<p id="rgl2926-aria" hidden>3D plot</p>
+<div id="rgl2926" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl2926-aria"></div>
+<script type="application/json" 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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="co"># pop3d(id = ids) remove last object</span></span></span>
 <span class="r-in"><span><span class="co"># }</span></span></span>
 </code></pre></div>
     </div>
diff --git a/reference/saveView.html b/reference/saveView.html
index e3f9dc7..0d76beb 100644
--- a/reference/saveView.html
+++ b/reference/saveView.html
@@ -110,15 +110,15 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fl">0.97196090221405</span>, <span class="fl">0.231208890676498</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">0</span>, <span class="fl">1</span><span class="op">)</span>, nc <span class="op">=</span> <span class="fl">4</span><span class="op">)</span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="loadView.html">loadView</a></span><span class="op">(</span>v <span class="op">=</span> <span class="va">view</span><span class="op">)</span></span></span>
-<p id="rgl74902-aria" hidden>3D plot</p>
-<div id="rgl74902" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl74902-aria"></div>
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vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span><span class="va">A</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/matrix.html" class="external-link">matrix</a></span><span class="op">(</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">3</span>, <span class="fl">2</span>, <span class="fl">5</span>, <span class="fl">2</span>, <span class="fl">1</span>, <span class="fl">1</span>, <span class="fl">1</span>, <span class="fl">1</span>, <span class="fl">3</span>, <span class="fl">5</span>, <span class="fl">2</span>, <span class="fl">4</span><span class="op">)</span>, nc <span class="op">=</span> <span class="fl">3</span>, byrow <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
+<p id="rgl78845-aria" hidden>3D plot</p>
+<div id="rgl78845" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl78845-aria"></div>
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-<p id="rgl26334-aria" hidden>3D plot</p>
-<div id="rgl26334" style="width:700px;height:432.632880098888px;" class="rglWebGL html-widget" role="img" aria-labelledby="rgl26334-aria"></div>
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pos2/pos2.w - gl_Position/gl_Position.w;\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\n#endif\n#endif // IS_TWOSIDED\n  \n#ifdef NEEDS_VNORMAL\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\n#endif\n  \n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\n  vTexcoord = aTexcoord;\n#endif\n  \n#if defined(FIXED_SIZE) && !defined(ROTATING)\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w;\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\n#endif\n  \n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\n  pos = pos/pos.w + vec4(aOfs,  0.);\n  gl_Position = prMatrix*pos;\n#endif\n  \n#ifdef FAT_LINES\n  /* This code was inspired by Matt Deslauriers' code in \n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\n  vec2 aspectVec = vec2(uAspect, 1.0);\n  mat4 projViewModel = prMatrix * mvMatrix;\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\n  currentProjected = currentProjected/currentProjected.w;\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\n  vec2 currentScreen = currentProjected.xy * aspectVec;\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\n  float len = uLwd;\n  vec2 dir = vec2(1.0, 0.0);\n  vPoint = aPoint;\n  vLength = length(nextScreen - currentScreen)/2.0;\n  vLength = vLength/(vLength + len);\n  if (vLength > 0.0) {\n    dir = normalize(nextScreen - currentScreen);\n  }\n  vec2 normal = vec2(-dir.y, dir.x);\n  dir.x /= uAspect;\n  normal.x /= uAspect;\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\n  gl_Position = currentProjected + offset;\n#endif\n  \n#ifdef IS_BRUSH\n  gl_Position = vec4(aPos, 1.);\n#endif\n}","fragmentShader":"#line 2 2\n// File 2 is the fragment shader\n#ifdef GL_ES\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\n#endif\nvarying vec4 vCol; // carries alpha\nvarying vec4 vPosition;\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\nvarying vec2 vTexcoord;\nuniform sampler2D uSampler;\n#endif\n\n#ifdef HAS_FOG\nuniform int uFogMode;\nuniform vec3 uFogColor;\nuniform vec4 uFogParms;\n#endif\n\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\nvarying vec4 vNormal;\n#endif\n\n#if NCLIPPLANES > 0\nuniform vec4 vClipplane[NCLIPPLANES];\n#endif\n\n#if NLIGHTS > 0\nuniform mat4 mvMatrix;\n#endif\n\n#ifdef IS_LIT\nuniform vec3 emission;\nuniform float shininess;\n#if NLIGHTS > 0\nuniform vec3 ambient[NLIGHTS];\nuniform vec3 specular[NLIGHTS]; // light*material\nuniform vec3 diffuse[NLIGHTS];\nuniform vec3 lightDir[NLIGHTS];\nuniform bool viewpoint[NLIGHTS];\nuniform bool finite[NLIGHTS];\n#endif\n#endif // IS_LIT\n\n#ifdef IS_TWOSIDED\nuniform bool front;\nvarying float normz;\n#endif\n\n#ifdef FAT_LINES\nvarying vec2 vPoint;\nvarying float vLength;\n#endif\n\n#ifdef USE_ENVMAP\nvarying vec3 vReflection;\n#endif\n\nvoid main(void) {\n  vec4 fragColor;\n#ifdef FAT_LINES\n  vec2 point = vPoint;\n  bool neg = point.y < 0.0;\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\n                 -(point.y - vLength)/(1.0 - vLength);\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\n  if (neg && length(point) <= 1.0) discard;\n#endif\n  point.y = min(point.y, 0.0);\n  if (length(point) > 1.0) discard;\n#endif // FAT_LINES\n  \n#ifdef ROUND_POINTS\n  vec2 coord = gl_PointCoord - vec2(0.5);\n  if (length(coord) > 0.5) discard;\n#endif\n  \n#if NCLIPPLANES > 0\n  for (int i = 0; i < NCLIPPLANES; i++)\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\n#endif\n    \n#ifdef FIXED_QUADS\n    vec3 n = vec3(0., 0., 1.);\n#elif defined(IS_LIT)\n    vec3 n = normalize(vNormal.xyz);\n#endif\n    \n#ifdef IS_TWOSIDED\n    if ((normz <= 0.) != front) discard;\n#endif\n\n#ifdef IS_LIT\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\n    vec3 lightdir;\n    vec4 colDiff;\n    vec3 halfVec;\n    vec4 lighteffect = vec4(emission, 0.);\n    vec3 col;\n    float nDotL;\n#ifdef FIXED_QUADS\n    n = -faceforward(n, n, eye);\n#endif\n    \n#if NLIGHTS > 0\n    for (int i=0;i<NLIGHTS;i++) {\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\n      lightdir = lightDir[i];\n      if (!viewpoint[i])\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\n      if (!finite[i]) {\n        halfVec = normalize(lightdir + eye);\n      } else {\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\n        halfVec = normalize(lightdir + eye);\n      }\n      col = ambient[i];\n      nDotL = dot(n, lightdir);\n      col = col + max(nDotL, 0.) * colDiff.rgb;\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\n      lighteffect = lighteffect + vec4(col, colDiff.a);\n    }\n#endif\n    \n#else // not IS_LIT\n    vec4 colDiff = vCol;\n    vec4 lighteffect = colDiff;\n#endif\n    \n#ifdef IS_TEXT\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\n#endif\n    \n#ifdef HAS_TEXTURE\n\n// These calculations use the definitions from \n// https://docs.gl/gl3/glTexEnv\n\n#ifdef USE_ENVMAP\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\n#else\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\n#endif\n\n#ifdef TEXTURE_rgb\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\n#endif\n\n#endif //TEXTURE_rgb\n        \n#ifdef TEXTURE_rgba\n\n#ifdef TEXMODE_replace\n// already done\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = lighteffect*textureColor;\n#endif\n\n#ifdef TEXMODE_decal\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\n                     textureColor.a*textureColor.rgb, \n                     lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\n                    lighteffect.a*textureColor.a);\n#endif\n    \n#endif //TEXTURE_rgba\n    \n#ifdef TEXTURE_alpha\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\n#endif \n\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\n#endif\n \n#endif\n    \n// The TEXTURE_luminance values are not from that reference    \n#ifdef TEXTURE_luminance\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\n#endif\n\n#endif // TEXTURE_luminance\n \n    \n#ifdef TEXTURE_luminance_alpha\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\n\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\n#endif \n\n#ifdef TEXMODE_modulate\n    textureColor = vec4(luminance*lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_blend\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\n                        textureColor.a*lighteffect.a);\n#endif\n\n#ifdef TEXMODE_add\n    textureColor = vec4(luminance + lighteffect.rgb, \n                        textureColor.a*lighteffect.a);\n\n#endif\n\n#endif // TEXTURE_luminance_alpha\n    \n    fragColor = textureColor;\n\n#elif defined(IS_TEXT)\n    if (textureColor.a < 0.1)\n      discard;\n    else\n      fragColor = textureColor;\n#else\n    fragColor = lighteffect;\n#endif // HAS_TEXTURE\n    \n#ifdef HAS_FOG\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\n    // In Exp and Exp2: use density = density/far\n    // fogF will be the proportion of fog\n    // Initialize it to the linear value\n    float fogF;\n    if (uFogMode > 0) {\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\n      if (uFogMode > 1)\n        fogF = mix(uFogParms.w, 1.0, fogF);\n      fogF = fogF*uFogParms.z;\n      if (uFogMode == 2)\n        fogF = 1.0 - exp(-fogF);\n      // Docs are wrong: use (density*c)^2, not density*c^2\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\n      else if (uFogMode == 3)\n        fogF = 1.0 - exp(-fogF*fogF);\n      fogF = clamp(fogF, 0.0, 1.0);\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\n    } else gl_FragColor = fragColor;\n#else\n    gl_FragColor = fragColor;\n#endif // HAS_FOG\n    \n}","players":[],"webGLoptions":{"preserveDrawingBuffer":true}},"evals":[],"jsHooks":[]}</script><span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="co"># Try to modify the angle in the RGL window</span></span></span>
 <span class="r-in"><span><span class="fu">saveView</span><span class="op">(</span>print <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span>  <span class="co"># get the view angle to insert into R code</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> view &lt;- matrix( c(-0.412063330411911, -0.228006735444069, 0.882166087627411, 0, 0.910147845745087, -0.0574885793030262, 0.410274744033813, 0, -0.042830865830183, 0.97196090221405, 0.231208890676498, 0, 0, 0, 0, 1), nc = 4)</span>
diff --git a/search.json b/search.json
index 367f109..78a2678 100644
--- a/search.json
+++ b/search.json
@@ -1 +1 @@
-[{"path":"http://relund.github.io/gMOIP/articles/bi-objective_2x.html","id":"saving-plots-to-latex","dir":"Articles","previous_headings":"","what":"Saving plots to LaTeX","title":"Plotting bi-objective models with two variables","text":"write paper using LaTeX, may create TikZ file plot LaTeX using","code":"library(tikzDevice) tikz(file = \"plot_polytope.tex\", standAlone=F, width = 7, height = 6) plotPolytope(    A,    b,    obj,    type = rep(\"i\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"n\",    latex = TRUE ) dev.off()"},{"path":"http://relund.github.io/gMOIP/articles/intro.html","id":"installation","dir":"Articles","previous_headings":"","what":"Installation","title":"Introduction to gMOIP","text":"Install latest stable release CRAN: Alternatively, install latest development version GitHub (recommended):","code":"install.packages(\"gMOIP\") install.packages(\"devtools\") devtools::install_github(\"relund/gMOIP\") library(gMOIP)"},{"path":"http://relund.github.io/gMOIP/articles/intro.html","id":"single-criterion-models","dir":"Articles","previous_headings":"","what":"Single criterion models","title":"Introduction to gMOIP","text":"define model \\(\\max\\{cx | Ax \\leq b\\}\\) (also minimized) using matrix vectors b obj: polytope LP model non-negative continuous variables (\\(x \\geq 0\\)):  polytope ILP model LP faces (\\(x\\\\mathbb{Z}_0\\)):  polytope MILP model (first variable integer) LP faces:","code":"A <- matrix(c(-3,2,2,4,9,10), ncol = 2, byrow = TRUE) b <- c(3,27,90) obj <- c(7.75, 10)  # coefficients c plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" ) plotPolytope(    A,    b,    obj,    type = rep(\"i\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" ) plotPolytope(    A,    b,    obj,    type = c(\"i\", \"c\"),    crit = \"max\",    faces = c(\"c\", \"c\"),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" )"},{"path":"http://relund.github.io/gMOIP/articles/intro.html","id":"three-variables","dir":"Articles","previous_headings":"Single criterion models","what":"Three variables","title":"Introduction to gMOIP","text":"can three variables: LP model: ILP model (ILP faces): MILP model (continuous faces):","code":"A <- matrix( c(    3, 2, 5,    2, 1, 1,    1, 1, 3,    5, 2, 4 ), nc = 3, byrow = TRUE) b <- c(55, 26, 30, 57) obj <- c(20, 10, 15) view <- matrix( c(-0.412063330411911, -0.228006735444069, 0.882166087627411, 0, 0.910147845745087,                   -0.0574885793030262, 0.410274744033813, 0, -0.042830865830183, 0.97196090221405,                   0.231208890676498, 0, 0, 0, 0, 1), nc = 4)    loadView(v = view)  # set view angle plotPolytope(A,              b,              obj,              plotOptimum = TRUE,              labels = \"n\") view <- matrix( c(-0.412063330411911, -0.228006735444069, 0.882166087627411, 0, 0.910147845745087,                   -0.0574885793030262, 0.410274744033813, 0, -0.042830865830183, 0.97196090221405,                   0.231208890676498, 0, 0, 0, 0, 1), nc = 4)    loadView(v = view)  # set view angle plotPolytope(A,              b,              obj,               type = c(\"i\", \"i\", \"i\"),               plotOptimum = TRUE,               labels = \"n\") view <- matrix( c(-0.412063330411911, -0.228006735444069, 0.882166087627411, 0, 0.910147845745087,                   -0.0574885793030262, 0.410274744033813, 0, -0.042830865830183, 0.97196090221405,                   0.231208890676498, 0, 0, 0, 0, 1), nc = 4)    loadView(v = view)  # set view angle plotPolytope(A,              b,              obj,               type = c(\"i\", \"i\", \"c\"),               faces = c(\"c\", \"c\", \"c\"),               plotOptimum = TRUE,               # plotFaces = FALSE,              labels = \"n\")"},{"path":"http://relund.github.io/gMOIP/articles/intro.html","id":"bi-objective-models","dir":"Articles","previous_headings":"","what":"Bi-objective models","title":"Introduction to gMOIP","text":"gMOIP can also make plots criterion space bi-objective models (linear programming (LP), integer linear programming (ILP), mixed integer linear programming (MILP)). First let us look bi-objective model two variables. define function grouping plots solution criterion space: Let us define constraints: First let us look LP model (maximize):  Note non-dominated (Pareto) set consists supported extreme non-dominated points (illustrated triangles) line segments . ILP model (maximize):  Note non-dominated set consists points black (shape supported extreme:triangle, supported non-extreme:round, unsupported:round (border)). triangles drawn using extreme non-dominated points illustrate areas unsupported non-dominated points may found. point solution space identified criterion space using number. MILP model (\\(x_2\\) integer) (minimize):  Note solution space now consists segments hence non-dominated set may consist points segments (open closed). Note segments highlighted current version gMOIP.","code":"plotBiObj2D <- function(A, b, obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = FALSE,    labels = \"numb\",    addTriangles = TRUE,    addHull = TRUE) {    p1 <- plotPolytope(A, b, type = type, crit = crit, faces = faces, plotFaces = plotFaces,                       plotFeasible = plotFeasible, plotOptimum = plotOptimum, labels = labels) +        ggplot2::ggtitle(\"Solution space\")    p2 <- plotCriterion2D(A, b, obj, type = type, crit = crit, addTriangles = addTriangles,                          addHull = addHull, plotFeasible = plotFeasible, labels = labels) +       ggplot2::ggtitle(\"Criterion space\")    gridExtra::grid.arrange(p1, p2, nrow = 1)  } A <- matrix(c(-3,2,2,4,9,10), ncol = 2, byrow = TRUE) b <- c(3,27,90) obj <- matrix(    c(7, -10, # first criterion      -10, -10), # second criterion    nrow = 2) plotBiObj2D(A, b, obj, addTriangles = FALSE) obj <- matrix(c(3, -1, -2, 2), nrow = 2) plotBiObj2D(A, b, obj, type = rep(\"i\", ncol(A))) obj <- matrix(c(3, -1, -2, 2), nrow = 2) plotBiObj2D(A, b, obj, type = c(\"c\", \"i\"), crit = \"min\")"},{"path":"http://relund.github.io/gMOIP/articles/intro.html","id":"bi-objective-models-with-three-variables","dir":"Articles","previous_headings":"","what":"Bi-objective models with three variables","title":"Introduction to gMOIP","text":"define functions plotting solution criterion space: Four examples given. plots solution space made interactive illustrate functionality.","code":"plotSol <- function(A, b, type = rep(\"c\", ncol(A)),                         faces = rep(\"c\", ncol(A)),                         plotFaces = TRUE, labels = \"numb\") {    loadView(v = view, close = F, zoom = 0.75)    plotPolytope(A, b, type = type, faces = faces, labels = labels, plotFaces = plotFaces,                  argsTitle3d = list(main = \"Solution space\")) }  plotCrit <- function(A, b, obj, crit = \"min\", type = rep(\"c\", ncol(A)), addTriangles = TRUE,                       labels = \"numb\")  {     plotCriterion2D(A, b, obj, type = type, crit = crit, addTriangles = addTriangles,                     labels = labels) +        ggplot2::ggtitle(\"Criterion space\") }"},{"path":"http://relund.github.io/gMOIP/articles/intro.html","id":"example-1","dir":"Articles","previous_headings":"Bi-objective models with three variables","what":"Example 1","title":"Introduction to gMOIP","text":"define model \\(\\max \\{cx | Ax \\leq b\\}\\) (also minimized) three variables: load preferred view angle RGL window: LP model (solution space): LP model (criterion space):  ILP model (solution space): ILP model (criterion space):","code":"Ab <- matrix( c(    1, 1, 2, 5,    2, -1, 0, 3,    -1, 2, 1, 3,    0, -3, 5, 2 ), nc = 4, byrow = TRUE) A <- Ab[,1:3] b <- Ab[,4] obj <- matrix(c(1, -6, 3, -4, 1, 6), nrow = 2) view <- matrix( c(-0.452365815639496, -0.446501553058624, 0.77201122045517, 0, 0.886364221572876,                   -0.320795893669128, 0.333835482597351, 0, 0.0986008867621422, 0.835299551486969,                   0.540881276130676, 0, 0, 0, 0, 1), nc = 4) loadView(v = view) plotSol(A, b) plotCrit(A, b, obj, addTriangles = FALSE) plotSol(A, b, type = c(\"i\",\"i\",\"i\")) plotCrit(A, b, obj, type = c(\"i\",\"i\",\"i\"))"},{"path":"http://relund.github.io/gMOIP/articles/intro.html","id":"latex-support","dir":"Articles","previous_headings":"","what":"LaTeX support","title":"Introduction to gMOIP","text":"may create TikZ file 2D plots LaTeX using","code":"library(tikzDevice) tikz(file = \"plot_polytope.tex\", standAlone=F, width = 7, height = 6) plotPolytope(    A,    b,    obj,    type = rep(\"i\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" ) dev.off()"},{"path":"http://relund.github.io/gMOIP/articles/intro.html","id":"further-examples","dir":"Articles","previous_headings":"","what":"Further examples","title":"Introduction to gMOIP","text":"examples see documentation, vignettes articles.","code":"library(gMOIP) browseVignettes('gMOIP') example(\"gMOIP-package\")"},{"path":"http://relund.github.io/gMOIP/articles/polytope_2d.html","id":"lp-model","dir":"Articles","previous_headings":"","what":"LP model","title":"Plotting polytopes in 2D","text":"Let us consider different plots polytope LP model non-negative variables (\\(x \\\\mathbb{R}_0, x \\geq 0\\)):  may also consider LP model non-negativity constraints:  Note package don’t plot feasible regions unbounded e.g drop second third constraint get wrong plot:  One solution add bounding box check bounding box binding  may also use e.g lpsolve check solution unbounded.","code":"# The polytope with the corner points p1 <- plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = FALSE,    labels = NULL ) + ggplot2::ggtitle(\"Feasible region only\")  p2 <- plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" ) + ggplot2::ggtitle(\"Solution LP max\")  p3 <- plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"min\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"n\" ) + ggplot2::ggtitle(\"Solution LP min\")  p4 <- plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" ) + ggplot2::xlab(\"x\") + ggplot2::ylab(\"y\") + ggplot2::ggtitle(\"Solution (max) with other axis labels\")  gridExtra::grid.arrange(p1, p2, p3, p4, nrow = 2) A <- matrix(c(-3, 2, 2, 4, 9, 10, 1, -2), ncol = 2, byrow = TRUE) b <- c(3, 27, 90, 2) obj <- c(7.75, 10) plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    nonneg = rep(FALSE, ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = FALSE,    labels = NULL ) A <- matrix(c(-3,2), ncol = 2, byrow = TRUE) b <- c(3) obj <- c(7.75, 10) # Wrong plot plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = FALSE,    labels = NULL ) A <- rbind(A, c(1,0), c(0,1)) b <- c(b, 10, 10) plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = FALSE,    labels = NULL )"},{"path":"http://relund.github.io/gMOIP/articles/polytope_2d.html","id":"ilp-model","dir":"Articles","previous_headings":"","what":"ILP model","title":"Plotting polytopes in 2D","text":"add integer constraints model (\\(x\\\\mathbb{Z}\\)) may view feasible region different ways:","code":"A <- matrix(c(-3,2,2,4,9,10), ncol = 2, byrow = TRUE) b <- c(3,27,90) obj <- c(7.75, 10)  p1 <- plotPolytope(    A,    b,    obj,    type = rep(\"i\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = FALSE,    labels = \"n\" ) + ggplot2::ggtitle(\"Relaxed region with LP faces\")  p2 <- plotPolytope(    A,    b,    obj,    type = rep(\"i\", ncol(A)),    crit = \"max\",    faces = rep(\"i\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = FALSE,    labels = \"n\" ) + ggplot2::ggtitle(\"Relaxed region with IP faces\")  p3 <- plotPolytope(    A,    b,    obj,    type = rep(\"i\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"n\" ) + ggplot2::ggtitle(\"Optimal solution (max)\")  p4 <- plotPolytope(    A,    b,    obj = c(-3, 3),    type = rep(\"i\", ncol(A)),    crit = \"max\",    faces = rep(\"i\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"n\" ) + ggplot2::ggtitle(\"Other objective (min)\")  gridExtra::grid.arrange(p1, p2, p3, p4, nrow = 2)"},{"path":"http://relund.github.io/gMOIP/articles/polytope_2d.html","id":"milp-model","dir":"Articles","previous_headings":"","what":"MILP model","title":"Plotting polytopes in 2D","text":"Finally, let us look MILP model:","code":"A <- matrix(c(-3,2,2,4,9,10), ncol = 2, byrow = TRUE) b <- c(3,27,90) obj <- c(7.75, 10)  p1 <- plotPolytope(    A,    b,    obj,    type = c(\"c\", \"i\"),    crit = \"max\",    faces = c(\"c\", \"c\"),    plotFaces =  TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"n\" ) + ggplot2::ggtitle(\"Second coordinate integer (LP faces)\")  p2 <- plotPolytope(    A,    b,    obj,    type = c(\"c\", \"i\"),    crit = \"max\",    faces = c(\"c\", \"i\"),    plotFaces =  TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" ) + ggplot2::ggtitle(\"Second coordinate integer (MILP faces)\")  p3 <- plotPolytope(    A,    b,    obj,    type = c(\"i\", \"c\"),    crit = \"max\",    faces = c(\"c\", \"c\"),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"n\" ) + ggplot2::ggtitle(\"First coordinate integer (LP faces)\")  p4 <- plotPolytope(    A,    b,    obj,    type = c(\"i\", \"c\"),    crit = \"max\",    faces = c(\"i\", \"c\"),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" ) + ggplot2::ggtitle(\"First coordinate integer (MILP faces)\")  gridExtra::grid.arrange(p1, p2, p3, p4, nrow = 2)"},{"path":"http://relund.github.io/gMOIP/articles/polytope_2d.html","id":"saving-plots-to-latex","dir":"Articles","previous_headings":"","what":"Saving plots to LaTeX","title":"Plotting polytopes in 2D","text":"write paper using LaTeX, may create TikZ file plot LaTeX using","code":"library(tikzDevice) tikz(file = \"plot_polytope.tex\", standAlone=F, width = 7, height = 6) plotPolytope(    A,    b,    obj,    type = rep(\"i\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"n\",    latex = TRUE ) dev.off()"},{"path":"http://relund.github.io/gMOIP/articles/tri-objective.html","id":"classifying","dir":"Articles","previous_headings":"","what":"Classifying","title":"Plotting tri-objective models","text":"Non-dominated points can classified using classifyNDSet:   classification done using qhull algorithm find convex hull points including rays. vertex must supported extreme. Next use inHull algorithm find remaining border (supported non-extreme unsupported).","code":"pts <- matrix(c(0,0,1, 0,1,0, 1,0,0, 0.5,0.2,0.5, 0.25,0.5,0.25), ncol = 3, byrow = TRUE) open3d() #> null  #>    6 ini3D(argsPlot3d = list(xlim = c(min(pts[,1])-2,max(pts[,1])+2),   ylim = c(min(pts[,2])-2,max(pts[,2])+2),   zlim = c(min(pts[,3])-2,max(pts[,3])+2))) plotHull3D(pts, addRays = TRUE, argsPolygon3d = list(alpha = 0.5), useRGLBBox = TRUE) pts <- classifyNDSet(pts[,1:3]) pts #>     z1  z2   z3    se   sne    us cls #> 1 0.00 0.0 1.00  TRUE FALSE FALSE  se #> 2 0.00 1.0 0.00  TRUE FALSE FALSE  se #> 3 1.00 0.0 0.00  TRUE FALSE FALSE  se #> 4 0.50 0.2 0.50 FALSE FALSE  TRUE  us #> 5 0.25 0.5 0.25 FALSE  TRUE FALSE sne plotPoints3D(pts[pts$se,1:3], argsPlot3d = list(col = \"red\")) plotPoints3D(pts[!pts$sne,1:3], argsPlot3d = list(col = \"black\")) plotPoints3D(pts[!pts$us,1:3], argsPlot3d = list(col = \"blue\")) plotCones3D(pts[,1:3], rectangle = TRUE, argsPolygon3d = list(alpha = 1)) finalize3D() rglwidget(reuse = F) pts <- genNDSet(3,20, dubND = FALSE)[,1:3] open3d() #> null  #>    9 ini3D(argsPlot3d = list(xlim = c(0,max(pts$z1)+2),   ylim = c(0,max(pts$z2)+2),   zlim = c(0,max(pts$z3)+2))) plotHull3D(pts, addRays = TRUE, argsPolygon3d = list(alpha = 0.5)) pts <- classifyNDSet(pts[,1:3]) pts #>    z1 z2 z3    se   sne    us cls #> 1   3 62 45  TRUE FALSE FALSE  se #> 2  76 40  9 FALSE FALSE  TRUE  us #> 3  23 45 10  TRUE FALSE FALSE  se #> 4  29 66  9 FALSE FALSE  TRUE  us #> 5  22 11 60  TRUE FALSE FALSE  se #> 6  46 12 20  TRUE FALSE FALSE  se #> 7  49  2 39  TRUE FALSE FALSE  se #> 8   9 27 64  TRUE FALSE FALSE  se #> 9  32 10 29  TRUE FALSE FALSE  se #> 10  8 39 29  TRUE FALSE FALSE  se #> 11 37  5 36  TRUE FALSE FALSE  se #> 12 45  2 61  TRUE FALSE FALSE  se #> 13 19 30 18  TRUE FALSE FALSE  se #> 14 30  7 38  TRUE FALSE FALSE  se #> 15 11 33 26  TRUE FALSE FALSE  se #> 16 46  2 43  TRUE FALSE FALSE  se #> 17 12 21 39  TRUE FALSE FALSE  se #> 18 45 21 11  TRUE FALSE FALSE  se #> 19 21 26 20  TRUE FALSE FALSE  se #> 20 31 43  5  TRUE FALSE FALSE  se plotPoints3D(pts[pts$se,1:3], argsPlot3d = list(col = \"red\")) plotPoints3D(pts[!pts$sne,1:3], argsPlot3d = list(col = \"black\")) plotPoints3D(pts[!pts$us,1:3], argsPlot3d = list(col = \"blue\")) finalize3D() rglwidget(reuse = F)"},{"path":"http://relund.github.io/gMOIP/authors.html","id":null,"dir":"","previous_headings":"","what":"Authors","title":"Authors and Citation","text":"Lars Relund Nielsen. Author, maintainer.","code":""},{"path":"http://relund.github.io/gMOIP/authors.html","id":"citation","dir":"","previous_headings":"","what":"Citation","title":"Authors and Citation","text":"Relund Nielsen L (2024). gMOIP: Tools 2D 3D Plots Single Multi-Objective Linear/Integer Programming Models. R package version 1.5.1, https://github.com/relund/gMOIP/, https://relund.github.io/gMOIP/.","code":"@Manual{,   title = {gMOIP: Tools for 2D and 3D Plots of Single and Multi-Objective Linear/Integer Programming Models},   author = {Lars {Relund Nielsen}},   year = {2024},   note = {R package version 1.5.1, https://github.com/relund/gMOIP/},   url = {https://relund.github.io/gMOIP/}, }"},{"path":"http://relund.github.io/gMOIP/index.html","id":"tools-for-2d-and-3d-plots-of-single-and-multi-objective-linearinteger-programming-models","dir":"","previous_headings":"","what":"Tools for 2D and 3D Plots of Single and Multi-Objective Linear/Integer Programming Models","title":"Tools for 2D and 3D Plots of Single and Multi-Objective Linear/Integer Programming Models","text":"gMOIP package can used make 2D 3D plots linear programming (LP), integer linear programming (ILP), mixed integer linear programming (MILP) models three objectives. include polytope, integer points, ranges iso profit curve. Plots solution criterion space possible. instance non-dominated (Pareto) set bi-objective LP/ILP/MILP programming models. package also include inHull function checking set points inside//outside convex hull set vertices (arbitrary dimension). Finally, package also contains functions generating (non-dominated) points ℝn classifying non-dominated points supported extreme, supported non-extreme unsupported.","code":""},{"path":"http://relund.github.io/gMOIP/index.html","id":"usage","dir":"","previous_headings":"","what":"Usage","title":"Tools for 2D and 3D Plots of Single and Multi-Objective Linear/Integer Programming Models","text":"Consider model max {cx|Ax ≤ b} (also minimized) 2 variables: polytope LP model non-negative continuous variables (x ≥ 0):  polytope ILP model LP faces (x ∈ ℤ0):  polytope MILP model (first variable integer) LP faces:  can three variables: Note: interactive 3d plots displayed GitHub README file, static images animated gifs used instead. Visit pkgdown online documentation view plots can manipulated browser. examples see example(\"gMOIP-package\") browseVignettes('gMOIP').","code":"A <- matrix(c(-3,2,2,4,9,10), ncol = 2, byrow = TRUE) b <- c(3,27,90) coeff <- c(7.75, 10)  # coefficients c plotPolytope(    A,    b,    coeff,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" ) plotPolytope(    A,    b,    coeff,    type = rep(\"i\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" ) plotPolytope(    A,    b,    coeff,    type = c(\"i\", \"c\"),    crit = \"max\",    faces = c(\"c\", \"c\"),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" ) A <- matrix( c(    3, 2, 5,    2, 1, 1,    1, 1, 3,    5, 2, 4 ), nc = 3, byrow = TRUE) b <- c(55, 26, 30, 57) coeff <- c(20, 10, 15) # LP model view <- matrix( c(-0.412063330411911, -0.228006735444069, 0.882166087627411, 0, 0.910147845745087,                   -0.0574885793030262, 0.410274744033813, 0, -0.042830865830183, 0.97196090221405,                   0.231208890676498, 0, 0, 0, 0, 1), nc = 4)    loadView(v = view)  # set view angle plotPolytope(A, b, plotOptimum = TRUE, obj = coeff, labels = \"n\")"},{"path":"http://relund.github.io/gMOIP/index.html","id":"latex-support","dir":"","previous_headings":"","what":"LaTeX support","title":"Tools for 2D and 3D Plots of Single and Multi-Objective Linear/Integer Programming Models","text":"may create TikZ file plot LaTeX using","code":"library(tikzDevice) tikz(file = \"plot_polytope.tex\", standAlone=F, width = 7, height = 6) plotPolytope(    A,    b,    coeff,    type = rep(\"i\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" ) dev.off()"},{"path":"http://relund.github.io/gMOIP/index.html","id":"installation","dir":"","previous_headings":"","what":"Installation","title":"Tools for 2D and 3D Plots of Single and Multi-Objective Linear/Integer Programming Models","text":"Install latest stable release CRAN: Alternatively, install latest development version GitHub (recommended): package highly dependent rgl package plotting 3D graphics. build rgl include OpenGL functions, use rgl::rglwidget() display results, e.g. via options(rgl.printRglwidget = TRUE).","code":"install.packages(\"gMOIP\") install.packages(\"remotes\") remotes::install_github(\"relund/gMOIP\")  library(gMOIP) browseVignettes('gMOIP') example(\"gMOIP-package\")"},{"path":"http://relund.github.io/gMOIP/reference/addNDSet.html","id":null,"dir":"Reference","previous_headings":"","what":"Add discrete points to a non-dominated set and classify them into extreme supported, non-extreme\nsupported, non-supported. — addNDSet","title":"Add discrete points to a non-dominated set and classify them into extreme supported, non-extreme\nsupported, non-supported. — addNDSet","text":"Add discrete points non-dominated set classify extreme supported, non-extreme supported, non-supported.","code":""},{"path":"http://relund.github.io/gMOIP/reference/addNDSet.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Add discrete points to a non-dominated set and classify them into extreme supported, non-extreme\nsupported, non-supported. — addNDSet","text":"","code":"addNDSet(   pts,   nDSet = NULL,   crit = \"max\",   keepDom = FALSE,   dubND = FALSE,   classify = TRUE )"},{"path":"http://relund.github.io/gMOIP/reference/addNDSet.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Add discrete points to a non-dominated set and classify them into extreme supported, non-extreme\nsupported, non-supported. — addNDSet","text":"pts data frame points add (column objective). nDSet data frame current non-dominated set (NULL none yet). Column names p objectives must z1, ..., zp. crit max min vector. length one assume objectives optimized direction. keepDom Keep dominated points output. dubND Duplicated non-dominated points classified non-dominated. classify Non-dominated points classified supported extreme (se), supported non-extreme (sne) unsupported (us).","code":""},{"path":"http://relund.github.io/gMOIP/reference/addNDSet.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Add discrete points to a non-dominated set and classify them into extreme supported, non-extreme\nsupported, non-supported. — addNDSet","text":"data frame column objective (z columns) nd (non-dominated). Moreover classify columns se, sne, us cls.","code":""},{"path":"http://relund.github.io/gMOIP/reference/addNDSet.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Add discrete points to a non-dominated set and classify them into extreme supported, non-extreme\nsupported, non-supported. — addNDSet","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/addNDSet.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Add discrete points to a non-dominated set and classify them into extreme supported, non-extreme\nsupported, non-supported. — addNDSet","text":"3D plot","code":"nDSet <- data.frame(z1=c(12,14,16,18), z2=c(18,16,12,4)) pts <- data.frame(z1 = c(18,18,14,15,15), z2=c(2,6,14,14,16)) addNDSet(pts, nDSet, crit = \"max\") #>   z1 z2   nd    se   sne    us cls #> 1 12 18 TRUE  TRUE FALSE FALSE  se #> 2 16 12 TRUE FALSE FALSE  TRUE  us #> 3 18  6 TRUE  TRUE FALSE FALSE  se #> 4 15 16 TRUE  TRUE FALSE FALSE  se addNDSet(pts, nDSet, crit = \"max\", keepDom = TRUE) #>   z1 z2    nd    se   sne    us cls #> 1 12 18  TRUE  TRUE FALSE FALSE  se #> 2 14 16 FALSE FALSE FALSE  TRUE   d #> 3 16 12  TRUE FALSE FALSE  TRUE  us #> 4 18  4 FALSE FALSE FALSE  TRUE   d #> 5 18  2 FALSE FALSE FALSE  TRUE   d #> 6 18  6  TRUE  TRUE FALSE FALSE  se #> 7 14 14 FALSE FALSE FALSE  TRUE   d #> 8 15 14 FALSE FALSE FALSE  TRUE   d #> 9 15 16  TRUE  TRUE FALSE FALSE  se addNDSet(pts, nDSet, crit = \"min\") #>   z1 z2   nd    se   sne    us cls #> 1 12 18 TRUE  TRUE FALSE FALSE  se #> 2 16 12 TRUE FALSE FALSE  TRUE  us #> 3 18  2 TRUE  TRUE FALSE FALSE  se #> 4 14 14 TRUE FALSE FALSE  TRUE  us addNDSet(c(2,2), nDSet, crit = \"max\") #>   z1 z2   nd   se   sne    us cls #> 1 12 18 TRUE TRUE FALSE FALSE  se #> 2 14 16 TRUE TRUE FALSE FALSE  se #> 3 16 12 TRUE TRUE FALSE FALSE  se #> 4 18  4 TRUE TRUE FALSE FALSE  se addNDSet(c(2,2), nDSet, crit = \"min\") #>   z1 z2   nd   se   sne    us cls #> 1  2  2 TRUE TRUE FALSE FALSE  se  # \\donttest{ nDSet <- data.frame(z1=c(12,14,16,18), z2=c(18,16,12,4), z3 = c(1,7,0,6)) pts <- data.frame(z1=c(12,14,16,18), z2=c(18,16,12,4), z3 = c(2,2,2,6)) crit = c(\"min\", \"min\", \"max\") di <- c(1,1,-1) li <- c(-1,20) ini3D(argsPlot3d = list(xlim = li, ylim = li, zlim = li)) plotCones3D(nDSet, direction = di, argsPolygon3d = list(color = \"green\", alpha = 1),             drawPoint = FALSE) plotHull3D(nDSet, addRays = TRUE, direction = di) plotPoints3D(nDSet, argsPlot3d = list(col = \"red\"), addText = \"coord\") plotPoints3D(pts, addText = \"coord\") finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}addNDSet(pts, nDSet, crit, dubND = FALSE) #>   z1 z2 z3   nd    se   sne    us cls #> 1 14 16  7 TRUE  TRUE FALSE FALSE  se #> 2 12 18  2 TRUE  TRUE FALSE FALSE  se #> 3 16 12  2 TRUE FALSE FALSE  TRUE  us #> 4 18  4  6 TRUE  TRUE FALSE FALSE  se addNDSet(pts, nDSet, crit, dubND = TRUE) #>   z1 z2 z3   nd    se   sne    us cls #> 1 14 16  7 TRUE  TRUE FALSE FALSE  se #> 2 18  4  6 TRUE  TRUE FALSE FALSE  se #> 3 12 18  2 TRUE  TRUE FALSE FALSE  se #> 4 16 12  2 TRUE FALSE FALSE  TRUE  us #> 5 18  4  6 TRUE  TRUE FALSE FALSE  se addNDSet(pts, nDSet, crit, dubND = TRUE, keepDom = TRUE) #>   z1 z2 z3    nd    se   sne    us cls #> 1 12 18  1 FALSE FALSE FALSE  TRUE   d #> 2 14 16  7  TRUE  TRUE FALSE FALSE  se #> 3 16 12  0 FALSE FALSE FALSE  TRUE   d #> 4 18  4  6  TRUE  TRUE FALSE FALSE  se #> 5 12 18  2  TRUE  TRUE FALSE FALSE  se #> 6 14 16  2 FALSE FALSE FALSE  TRUE   d #> 7 16 12  2  TRUE FALSE FALSE  TRUE  us #> 8 18  4  6  TRUE  TRUE FALSE FALSE  se addNDSet(pts, nDSet, crit, dubND = TRUE, keepDom = TRUE, classify = FALSE) #>   z1 z2 z3    nd #> 1 12 18  1 FALSE #> 2 14 16  7  TRUE #> 3 16 12  0 FALSE #> 4 18  4  6  TRUE #> 5 12 18  2  TRUE #> 6 14 16  2 FALSE #> 7 16 12  2  TRUE #> 8 18  4  6  TRUE # }"},{"path":"http://relund.github.io/gMOIP/reference/addNDSet2D.html","id":null,"dir":"Reference","previous_headings":"","what":"Add 2D discrete points to a non-dominated set and classify them into extreme\nsupported, non-extreme supported, non-supported. — addNDSet2D","title":"Add 2D discrete points to a non-dominated set and classify them into extreme\nsupported, non-extreme supported, non-supported. — addNDSet2D","text":"Add 2D discrete points non-dominated set classify extreme supported, non-extreme supported, non-supported.","code":""},{"path":"http://relund.github.io/gMOIP/reference/addNDSet2D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Add 2D discrete points to a non-dominated set and classify them into extreme\nsupported, non-extreme supported, non-supported. — addNDSet2D","text":"","code":"addNDSet2D(pts, nDSet = NULL, crit = \"max\", keepDom = FALSE)"},{"path":"http://relund.github.io/gMOIP/reference/addNDSet2D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Add 2D discrete points to a non-dominated set and classify them into extreme\nsupported, non-extreme supported, non-supported. — addNDSet2D","text":"pts data frame. assumed z1 z2 two first columns. nDSet data frame current non-dominated set (NULL none yet). crit Either max min. keepDom Keep dominated points.","code":""},{"path":"http://relund.github.io/gMOIP/reference/addNDSet2D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Add 2D discrete points to a non-dominated set and classify them into extreme\nsupported, non-extreme supported, non-supported. — addNDSet2D","text":"data frame columns z1 z2, nD (non-dominated), ext (extreme), nonExt (non-extreme supported).","code":""},{"path":"http://relund.github.io/gMOIP/reference/addNDSet2D.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Add 2D discrete points to a non-dominated set and classify them into extreme\nsupported, non-extreme supported, non-supported. — addNDSet2D","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/addNDSet2D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Add 2D discrete points to a non-dominated set and classify them into extreme\nsupported, non-extreme supported, non-supported. — addNDSet2D","text":"","code":"nDSet <- data.frame(z1=c(12,14,16,18), z2=c(18,16,12,4)) pts <- data.frame(z1 = c(18,18,14,15,15), z2=c(2,6,14,14,16)) addNDSet2D(pts, nDSet, crit = \"max\") #>   z1 z2   nD   ext nonExt #> 6 12 18 TRUE  TRUE  FALSE #> 5 15 16 TRUE  TRUE  FALSE #> 8 16 12 TRUE FALSE  FALSE #> 2 18  6 TRUE  TRUE  FALSE addNDSet2D(pts, nDSet, crit = \"max\", keepDom = TRUE) #>   z1 z2    nD   ext nonExt #> 6 12 18  TRUE  TRUE  FALSE #> 5 15 16  TRUE  TRUE  FALSE #> 7 14 16 FALSE FALSE  FALSE #> 4 15 14 FALSE FALSE  FALSE #> 3 14 14 FALSE FALSE  FALSE #> 8 16 12  TRUE FALSE  FALSE #> 2 18  6  TRUE  TRUE  FALSE #> 9 18  4 FALSE FALSE  FALSE #> 1 18  2 FALSE FALSE  FALSE addNDSet2D(pts, nDSet, crit = \"min\") #>   z1 z2   nD   ext nonExt #> 1 18  2 TRUE  TRUE  FALSE #> 8 16 12 TRUE FALSE  FALSE #> 3 14 14 TRUE FALSE  FALSE #> 6 12 18 TRUE  TRUE  FALSE"},{"path":"http://relund.github.io/gMOIP/reference/addRays.html","id":null,"dir":"Reference","previous_headings":"","what":"Add all points on the bounding box hit by the rays. — addRays","title":"Add all points on the bounding box hit by the rays. — addRays","text":"Add points bounding box hit rays.","code":""},{"path":"http://relund.github.io/gMOIP/reference/addRays.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Add all points on the bounding box hit by the rays. — addRays","text":"","code":"addRays(   pts,   m = apply(pts, 2, min) - 5,   M = apply(pts, 2, max) + 5,   direction = 1 )"},{"path":"http://relund.github.io/gMOIP/reference/addRays.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Add all points on the bounding box hit by the rays. — addRays","text":"pts data frame points m Minimum values bounding box. M Maximum values bounding box. direction Ray direction. 'th entry positive, consider 'th column pts plus value greater equal zero. negative, consider 'th column pts minus value greater equal zero.","code":""},{"path":"http://relund.github.io/gMOIP/reference/addRays.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Add all points on the bounding box hit by the rays. — addRays","text":"points merged points bounding box. column pt equals 1 points pts zero otherwise.","code":""},{"path":"http://relund.github.io/gMOIP/reference/addRays.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Add all points on the bounding box hit by the rays. — addRays","text":"Assume pts checked using .checkPts().","code":""},{"path":"http://relund.github.io/gMOIP/reference/addRays.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Add all points on the bounding box hit by the rays. — addRays","text":"","code":"pts <- genNDSet(3,10)[,1:3] addRays(pts) #>    z1 z2 z3 pt #> 1  56  1 47  1 #> 2  16 18 64  1 #> 3   6 71 45  1 #> 4  30  8 66  1 #> 5  54 41  2  1 #> 6  53 47  1  1 #> 7  55  6 29  1 #> 8  31  8 34  1 #> 9   2 55 57  1 #> 10  7 72 43  1 #> 12 61  1 47  0 #> 13 56 77 47  0 #> 14 61 77 47  0 #> 15 56  1 71  0 #> 16 61  1 71  0 #> 17 56 77 71  0 #> 18 61 77 71  0 #> 20 61 18 64  0 #> 21 16 77 64  0 #> 22 61 77 64  0 #> 23 16 18 71  0 #> 24 61 18 71  0 #> 25 16 77 71  0 #> 28 61 71 45  0 #> 29  6 77 45  0 #> 30 61 77 45  0 #> 31  6 71 71  0 #> 32 61 71 71  0 #> 33  6 77 71  0 #> 36 61  8 66  0 #> 37 30 77 66  0 #> 38 61 77 66  0 #> 39 30  8 71  0 #> 40 61  8 71  0 #> 41 30 77 71  0 #> 44 61 41  2  0 #> 45 54 77  2  0 #> 46 61 77  2  0 #> 47 54 41 71  0 #> 48 61 41 71  0 #> 49 54 77 71  0 #> 52 61 47  1  0 #> 53 53 77  1  0 #> 54 61 77  1  0 #> 55 53 47 71  0 #> 56 61 47 71  0 #> 57 53 77 71  0 #> 60 61  6 29  0 #> 61 55 77 29  0 #> 62 61 77 29  0 #> 63 55  6 71  0 #> 64 61  6 71  0 #> 65 55 77 71  0 #> 68 61  8 34  0 #> 69 31 77 34  0 #> 70 61 77 34  0 #> 71 31  8 71  0 #> 73 31 77 71  0 #> 76 61 55 57  0 #> 77  2 77 57  0 #> 78 61 77 57  0 #> 79  2 55 71  0 #> 80 61 55 71  0 #> 81  2 77 71  0 #> 84 61 72 43  0 #> 85  7 77 43  0 #> 86 61 77 43  0 #> 87  7 72 71  0 #> 88 61 72 71  0 #> 89  7 77 71  0 addRays(pts, dir = c(1,-1,1)) #>    z1 z2 z3 pt #> 1  56  1 47  1 #> 2  16 18 64  1 #> 3   6 71 45  1 #> 4  30  8 66  1 #> 5  54 41  2  1 #> 6  53 47  1  1 #> 7  55  6 29  1 #> 8  31  8 34  1 #> 9   2 55 57  1 #> 10  7 72 43  1 #> 12 61  1 47  0 #> 13 56 -4 47  0 #> 14 61 -4 47  0 #> 15 56  1 71  0 #> 16 61  1 71  0 #> 17 56 -4 71  0 #> 18 61 -4 71  0 #> 20 61 18 64  0 #> 21 16 -4 64  0 #> 22 61 -4 64  0 #> 23 16 18 71  0 #> 24 61 18 71  0 #> 25 16 -4 71  0 #> 28 61 71 45  0 #> 29  6 -4 45  0 #> 30 61 -4 45  0 #> 31  6 71 71  0 #> 32 61 71 71  0 #> 33  6 -4 71  0 #> 36 61  8 66  0 #> 37 30 -4 66  0 #> 38 61 -4 66  0 #> 39 30  8 71  0 #> 40 61  8 71  0 #> 41 30 -4 71  0 #> 44 61 41  2  0 #> 45 54 -4  2  0 #> 46 61 -4  2  0 #> 47 54 41 71  0 #> 48 61 41 71  0 #> 49 54 -4 71  0 #> 52 61 47  1  0 #> 53 53 -4  1  0 #> 54 61 -4  1  0 #> 55 53 47 71  0 #> 56 61 47 71  0 #> 57 53 -4 71  0 #> 60 61  6 29  0 #> 61 55 -4 29  0 #> 62 61 -4 29  0 #> 63 55  6 71  0 #> 64 61  6 71  0 #> 65 55 -4 71  0 #> 68 61  8 34  0 #> 69 31 -4 34  0 #> 70 61 -4 34  0 #> 71 31  8 71  0 #> 73 31 -4 71  0 #> 76 61 55 57  0 #> 77  2 -4 57  0 #> 78 61 -4 57  0 #> 79  2 55 71  0 #> 80 61 55 71  0 #> 81  2 -4 71  0 #> 84 61 72 43  0 #> 85  7 -4 43  0 #> 86 61 -4 43  0 #> 87  7 72 71  0 #> 88 61 72 71  0 #> 89  7 -4 71  0 addRays(pts, dir = c(-1,-1,1), m = c(0,0,0), M = c(100,100,100)) #>    z1 z2  z3 pt #> 1  56  1  47  1 #> 2  16 18  64  1 #> 3   6 71  45  1 #> 4  30  8  66  1 #> 5  54 41   2  1 #> 6  53 47   1  1 #> 7  55  6  29  1 #> 8  31  8  34  1 #> 9   2 55  57  1 #> 10  7 72  43  1 #> 12  0  1  47  0 #> 13 56  0  47  0 #> 14  0  0  47  0 #> 15 56  1 100  0 #> 16  0  1 100  0 #> 17 56  0 100  0 #> 18  0  0 100  0 #> 20  0 18  64  0 #> 21 16  0  64  0 #> 22  0  0  64  0 #> 23 16 18 100  0 #> 24  0 18 100  0 #> 25 16  0 100  0 #> 28  0 71  45  0 #> 29  6  0  45  0 #> 30  0  0  45  0 #> 31  6 71 100  0 #> 32  0 71 100  0 #> 33  6  0 100  0 #> 36  0  8  66  0 #> 37 30  0  66  0 #> 38  0  0  66  0 #> 39 30  8 100  0 #> 40  0  8 100  0 #> 41 30  0 100  0 #> 44  0 41   2  0 #> 45 54  0   2  0 #> 46  0  0   2  0 #> 47 54 41 100  0 #> 48  0 41 100  0 #> 49 54  0 100  0 #> 52  0 47   1  0 #> 53 53  0   1  0 #> 54  0  0   1  0 #> 55 53 47 100  0 #> 56  0 47 100  0 #> 57 53  0 100  0 #> 60  0  6  29  0 #> 61 55  0  29  0 #> 62  0  0  29  0 #> 63 55  6 100  0 #> 64  0  6 100  0 #> 65 55  0 100  0 #> 68  0  8  34  0 #> 69 31  0  34  0 #> 70  0  0  34  0 #> 71 31  8 100  0 #> 73 31  0 100  0 #> 76  0 55  57  0 #> 77  2  0  57  0 #> 78  0  0  57  0 #> 79  2 55 100  0 #> 80  0 55 100  0 #> 81  2  0 100  0 #> 84  0 72  43  0 #> 85  7  0  43  0 #> 86  0  0  43  0 #> 87  7 72 100  0 #> 88  0 72 100  0 #> 89  7  0 100  0 pts <- genSample(5,20)[,1:5] addRays(pts) #>     z1 z2 z3 z4 z5 pt #> 1   20 55 52 84 32  1 #> 2   52 51 63  7 69  1 #> 3   69  8 38 60 46  1 #> 4   72 13 65 33 44  1 #> 5   22 38 87 39 50  1 #> 6   22 83 26 49 50  1 #> 7   69 25 61 20 31  1 #> 8    6 38 40 64 46  1 #> 9   79 25 55 66 24  1 #> 10  68 45 74 36 14  1 #> 11  26 79 36 47 22  1 #> 12  58 12 72 34 38  1 #> 13  47 19 64 52 15  1 #> 14  39  4 63 53 56  1 #> 15  57 44 49 84 15  1 #> 16  58 12 60 53 22  1 #> 17  47 12 54 22 61  1 #> 18  32 21 69 35 25  1 #> 19  33 91 51 41 31  1 #> 20  76 27 62 60 19  1 #> 22  84 55 52 84 32  0 #> 23  20 96 52 84 32  0 #> 24  84 96 52 84 32  0 #> 25  20 55 92 84 32  0 #> 26  84 55 92 84 32  0 #> 27  20 96 92 84 32  0 #> 28  84 96 92 84 32  0 #> 29  20 55 52 89 32  0 #> 30  84 55 52 89 32  0 #> 31  20 96 52 89 32  0 #> 32  84 96 52 89 32  0 #> 33  20 55 92 89 32  0 #> 34  84 55 92 89 32  0 #> 35  20 96 92 89 32  0 #> 36  84 96 92 89 32  0 #> 37  20 55 52 84 74  0 #> 38  84 55 52 84 74  0 #> 39  20 96 52 84 74  0 #> 40  84 96 52 84 74  0 #> 41  20 55 92 84 74  0 #> 42  84 55 92 84 74  0 #> 43  20 96 92 84 74  0 #> 44  84 96 92 84 74  0 #> 45  20 55 52 89 74  0 #> 46  84 55 52 89 74  0 #> 47  20 96 52 89 74  0 #> 48  84 96 52 89 74  0 #> 49  20 55 92 89 74  0 #> 50  84 55 92 89 74  0 #> 51  20 96 92 89 74  0 #> 52  84 96 92 89 74  0 #> 54  84 51 63  7 69  0 #> 55  52 96 63  7 69  0 #> 56  84 96 63  7 69  0 #> 57  52 51 92  7 69  0 #> 58  84 51 92  7 69  0 #> 59  52 96 92  7 69  0 #> 60  84 96 92  7 69  0 #> 61  52 51 63 89 69  0 #> 62  84 51 63 89 69  0 #> 63  52 96 63 89 69  0 #> 64  84 96 63 89 69  0 #> 65  52 51 92 89 69  0 #> 66  84 51 92 89 69  0 #> 67  52 96 92 89 69  0 #> 68  84 96 92 89 69  0 #> 69  52 51 63  7 74  0 #> 70  84 51 63  7 74  0 #> 71  52 96 63  7 74  0 #> 72  84 96 63  7 74  0 #> 73  52 51 92  7 74  0 #> 74  84 51 92  7 74  0 #> 75  52 96 92  7 74  0 #> 76  84 96 92  7 74  0 #> 77  52 51 63 89 74  0 #> 78  84 51 63 89 74  0 #> 79  52 96 63 89 74  0 #> 80  84 96 63 89 74  0 #> 81  52 51 92 89 74  0 #> 82  84 51 92 89 74  0 #> 83  52 96 92 89 74  0 #> 86  84  8 38 60 46  0 #> 87  69 96 38 60 46  0 #> 88  84 96 38 60 46  0 #> 89  69  8 92 60 46  0 #> 90  84  8 92 60 46  0 #> 91  69 96 92 60 46  0 #> 92  84 96 92 60 46  0 #> 93  69  8 38 89 46  0 #> 94  84  8 38 89 46  0 #> 95  69 96 38 89 46  0 #> 96  84 96 38 89 46  0 #> 97  69  8 92 89 46  0 #> 98  84  8 92 89 46  0 #> 99  69 96 92 89 46  0 #> 100 84 96 92 89 46  0 #> 101 69  8 38 60 74  0 #> 102 84  8 38 60 74  0 #> 103 69 96 38 60 74  0 #> 104 84 96 38 60 74  0 #> 105 69  8 92 60 74  0 #> 106 84  8 92 60 74  0 #> 107 69 96 92 60 74  0 #> 108 84 96 92 60 74  0 #> 109 69  8 38 89 74  0 #> 110 84  8 38 89 74  0 #> 111 69 96 38 89 74  0 #> 112 84 96 38 89 74  0 #> 113 69  8 92 89 74  0 #> 114 84  8 92 89 74  0 #> 115 69 96 92 89 74  0 #> 118 84 13 65 33 44  0 #> 119 72 96 65 33 44  0 #> 120 84 96 65 33 44  0 #> 121 72 13 92 33 44  0 #> 122 84 13 92 33 44  0 #> 123 72 96 92 33 44  0 #> 124 84 96 92 33 44  0 #> 125 72 13 65 89 44  0 #> 126 84 13 65 89 44  0 #> 127 72 96 65 89 44  0 #> 128 84 96 65 89 44  0 #> 129 72 13 92 89 44  0 #> 130 84 13 92 89 44  0 #> 131 72 96 92 89 44  0 #> 132 84 96 92 89 44  0 #> 133 72 13 65 33 74  0 #> 134 84 13 65 33 74  0 #> 135 72 96 65 33 74  0 #> 136 84 96 65 33 74  0 #> 137 72 13 92 33 74  0 #> 138 84 13 92 33 74  0 #> 139 72 96 92 33 74  0 #> 140 84 96 92 33 74  0 #> 141 72 13 65 89 74  0 #> 142 84 13 65 89 74  0 #> 143 72 96 65 89 74  0 #> 144 84 96 65 89 74  0 #> 145 72 13 92 89 74  0 #> 146 84 13 92 89 74  0 #> 147 72 96 92 89 74  0 #> 150 84 38 87 39 50  0 #> 151 22 96 87 39 50  0 #> 152 84 96 87 39 50  0 #> 153 22 38 92 39 50  0 #> 154 84 38 92 39 50  0 #> 155 22 96 92 39 50  0 #> 156 84 96 92 39 50  0 #> 157 22 38 87 89 50  0 #> 158 84 38 87 89 50  0 #> 159 22 96 87 89 50  0 #> 160 84 96 87 89 50  0 #> 161 22 38 92 89 50  0 #> 162 84 38 92 89 50  0 #> 163 22 96 92 89 50  0 #> 164 84 96 92 89 50  0 #> 165 22 38 87 39 74  0 #> 166 84 38 87 39 74  0 #> 167 22 96 87 39 74  0 #> 168 84 96 87 39 74  0 #> 169 22 38 92 39 74  0 #> 170 84 38 92 39 74  0 #> 171 22 96 92 39 74  0 #> 172 84 96 92 39 74  0 #> 173 22 38 87 89 74  0 #> 174 84 38 87 89 74  0 #> 175 22 96 87 89 74  0 #> 176 84 96 87 89 74  0 #> 177 22 38 92 89 74  0 #> 178 84 38 92 89 74  0 #> 179 22 96 92 89 74  0 #> 182 84 83 26 49 50  0 #> 183 22 96 26 49 50  0 #> 184 84 96 26 49 50  0 #> 185 22 83 92 49 50  0 #> 186 84 83 92 49 50  0 #> 187 22 96 92 49 50  0 #> 188 84 96 92 49 50  0 #> 189 22 83 26 89 50  0 #> 190 84 83 26 89 50  0 #> 191 22 96 26 89 50  0 #> 192 84 96 26 89 50  0 #> 193 22 83 92 89 50  0 #> 194 84 83 92 89 50  0 #> 197 22 83 26 49 74  0 #> 198 84 83 26 49 74  0 #> 199 22 96 26 49 74  0 #> 200 84 96 26 49 74  0 #> 201 22 83 92 49 74  0 #> 202 84 83 92 49 74  0 #> 203 22 96 92 49 74  0 #> 204 84 96 92 49 74  0 #> 205 22 83 26 89 74  0 #> 206 84 83 26 89 74  0 #> 207 22 96 26 89 74  0 #> 208 84 96 26 89 74  0 #> 209 22 83 92 89 74  0 #> 210 84 83 92 89 74  0 #> 214 84 25 61 20 31  0 #> 215 69 96 61 20 31  0 #> 216 84 96 61 20 31  0 #> 217 69 25 92 20 31  0 #> 218 84 25 92 20 31  0 #> 219 69 96 92 20 31  0 #> 220 84 96 92 20 31  0 #> 221 69 25 61 89 31  0 #> 222 84 25 61 89 31  0 #> 223 69 96 61 89 31  0 #> 224 84 96 61 89 31  0 #> 225 69 25 92 89 31  0 #> 226 84 25 92 89 31  0 #> 227 69 96 92 89 31  0 #> 228 84 96 92 89 31  0 #> 229 69 25 61 20 74  0 #> 230 84 25 61 20 74  0 #> 231 69 96 61 20 74  0 #> 232 84 96 61 20 74  0 #> 233 69 25 92 20 74  0 #> 234 84 25 92 20 74  0 #> 235 69 96 92 20 74  0 #> 236 84 96 92 20 74  0 #> 237 69 25 61 89 74  0 #> 238 84 25 61 89 74  0 #> 239 69 96 61 89 74  0 #> 240 84 96 61 89 74  0 #> 241 69 25 92 89 74  0 #> 242 84 25 92 89 74  0 #> 246 84 38 40 64 46  0 #> 247  6 96 40 64 46  0 #> 248 84 96 40 64 46  0 #> 249  6 38 92 64 46  0 #> 250 84 38 92 64 46  0 #> 251  6 96 92 64 46  0 #> 252 84 96 92 64 46  0 #> 253  6 38 40 89 46  0 #> 254 84 38 40 89 46  0 #> 255  6 96 40 89 46  0 #> 256 84 96 40 89 46  0 #> 257  6 38 92 89 46  0 #> 258 84 38 92 89 46  0 #> 259  6 96 92 89 46  0 #> 261  6 38 40 64 74  0 #> 262 84 38 40 64 74  0 #> 263  6 96 40 64 74  0 #> 264 84 96 40 64 74  0 #> 265  6 38 92 64 74  0 #> 266 84 38 92 64 74  0 #> 267  6 96 92 64 74  0 #> 268 84 96 92 64 74  0 #> 269  6 38 40 89 74  0 #> 270 84 38 40 89 74  0 #> 271  6 96 40 89 74  0 #> 272 84 96 40 89 74  0 #> 273  6 38 92 89 74  0 #> 275  6 96 92 89 74  0 #> 278 84 25 55 66 24  0 #> 279 79 96 55 66 24  0 #> 280 84 96 55 66 24  0 #> 281 79 25 92 66 24  0 #> 282 84 25 92 66 24  0 #> 283 79 96 92 66 24  0 #> 284 84 96 92 66 24  0 #> 285 79 25 55 89 24  0 #> 286 84 25 55 89 24  0 #> 287 79 96 55 89 24  0 #> 288 84 96 55 89 24  0 #> 289 79 25 92 89 24  0 #> 290 84 25 92 89 24  0 #> 291 79 96 92 89 24  0 #> 292 84 96 92 89 24  0 #> 293 79 25 55 66 74  0 #> 294 84 25 55 66 74  0 #> 295 79 96 55 66 74  0 #> 296 84 96 55 66 74  0 #> 297 79 25 92 66 74  0 #> 298 84 25 92 66 74  0 #> 299 79 96 92 66 74  0 #> 300 84 96 92 66 74  0 #> 301 79 25 55 89 74  0 #> 302 84 25 55 89 74  0 #> 303 79 96 55 89 74  0 #> 304 84 96 55 89 74  0 #> 305 79 25 92 89 74  0 #> 307 79 96 92 89 74  0 #> 310 84 45 74 36 14  0 #> 311 68 96 74 36 14  0 #> 312 84 96 74 36 14  0 #> 313 68 45 92 36 14  0 #> 314 84 45 92 36 14  0 #> 315 68 96 92 36 14  0 #> 316 84 96 92 36 14  0 #> 317 68 45 74 89 14  0 #> 318 84 45 74 89 14  0 #> 319 68 96 74 89 14  0 #> 320 84 96 74 89 14  0 #> 321 68 45 92 89 14  0 #> 322 84 45 92 89 14  0 #> 323 68 96 92 89 14  0 #> 324 84 96 92 89 14  0 #> 325 68 45 74 36 74  0 #> 326 84 45 74 36 74  0 #> 327 68 96 74 36 74  0 #> 328 84 96 74 36 74  0 #> 329 68 45 92 36 74  0 #> 330 84 45 92 36 74  0 #> 331 68 96 92 36 74  0 #> 332 84 96 92 36 74  0 #> 333 68 45 74 89 74  0 #> 334 84 45 74 89 74  0 #> 335 68 96 74 89 74  0 #> 336 84 96 74 89 74  0 #> 337 68 45 92 89 74  0 #> 338 84 45 92 89 74  0 #> 339 68 96 92 89 74  0 #> 342 84 79 36 47 22  0 #> 343 26 96 36 47 22  0 #> 344 84 96 36 47 22  0 #> 345 26 79 92 47 22  0 #> 346 84 79 92 47 22  0 #> 347 26 96 92 47 22  0 #> 348 84 96 92 47 22  0 #> 349 26 79 36 89 22  0 #> 350 84 79 36 89 22  0 #> 351 26 96 36 89 22  0 #> 352 84 96 36 89 22  0 #> 353 26 79 92 89 22  0 #> 354 84 79 92 89 22  0 #> 355 26 96 92 89 22  0 #> 356 84 96 92 89 22  0 #> 357 26 79 36 47 74  0 #> 358 84 79 36 47 74  0 #> 359 26 96 36 47 74  0 #> 360 84 96 36 47 74  0 #> 361 26 79 92 47 74  0 #> 362 84 79 92 47 74  0 #> 363 26 96 92 47 74  0 #> 364 84 96 92 47 74  0 #> 365 26 79 36 89 74  0 #> 366 84 79 36 89 74  0 #> 367 26 96 36 89 74  0 #> 368 84 96 36 89 74  0 #> 369 26 79 92 89 74  0 #> 370 84 79 92 89 74  0 #> 371 26 96 92 89 74  0 #> 374 84 12 72 34 38  0 #> 375 58 96 72 34 38  0 #> 376 84 96 72 34 38  0 #> 377 58 12 92 34 38  0 #> 378 84 12 92 34 38  0 #> 379 58 96 92 34 38  0 #> 380 84 96 92 34 38  0 #> 381 58 12 72 89 38  0 #> 382 84 12 72 89 38  0 #> 383 58 96 72 89 38  0 #> 384 84 96 72 89 38  0 #> 385 58 12 92 89 38  0 #> 386 84 12 92 89 38  0 #> 387 58 96 92 89 38  0 #> 388 84 96 92 89 38  0 #> 389 58 12 72 34 74  0 #> 390 84 12 72 34 74  0 #> 391 58 96 72 34 74  0 #> 392 84 96 72 34 74  0 #> 393 58 12 92 34 74  0 #> 394 84 12 92 34 74  0 #> 395 58 96 92 34 74  0 #> 396 84 96 92 34 74  0 #> 397 58 12 72 89 74  0 #> 398 84 12 72 89 74  0 #> 399 58 96 72 89 74  0 #> 400 84 96 72 89 74  0 #> 401 58 12 92 89 74  0 #> 402 84 12 92 89 74  0 #> 403 58 96 92 89 74  0 #> 406 84 19 64 52 15  0 #> 407 47 96 64 52 15  0 #> 408 84 96 64 52 15  0 #> 409 47 19 92 52 15  0 #> 410 84 19 92 52 15  0 #> 411 47 96 92 52 15  0 #> 412 84 96 92 52 15  0 #> 413 47 19 64 89 15  0 #> 414 84 19 64 89 15  0 #> 415 47 96 64 89 15  0 #> 416 84 96 64 89 15  0 #> 417 47 19 92 89 15  0 #> 418 84 19 92 89 15  0 #> 419 47 96 92 89 15  0 #> 420 84 96 92 89 15  0 #> 421 47 19 64 52 74  0 #> 422 84 19 64 52 74  0 #> 423 47 96 64 52 74  0 #> 424 84 96 64 52 74  0 #> 425 47 19 92 52 74  0 #> 426 84 19 92 52 74  0 #> 427 47 96 92 52 74  0 #> 428 84 96 92 52 74  0 #> 429 47 19 64 89 74  0 #> 430 84 19 64 89 74  0 #> 431 47 96 64 89 74  0 #> 432 84 96 64 89 74  0 #> 433 47 19 92 89 74  0 #> 434 84 19 92 89 74  0 #> 435 47 96 92 89 74  0 #> 438 84  4 63 53 56  0 #> 439 39 96 63 53 56  0 #> 440 84 96 63 53 56  0 #> 441 39  4 92 53 56  0 #> 442 84  4 92 53 56  0 #> 443 39 96 92 53 56  0 #> 444 84 96 92 53 56  0 #> 445 39  4 63 89 56  0 #> 446 84  4 63 89 56  0 #> 447 39 96 63 89 56  0 #> 448 84 96 63 89 56  0 #> 449 39  4 92 89 56  0 #> 450 84  4 92 89 56  0 #> 451 39 96 92 89 56  0 #> 452 84 96 92 89 56  0 #> 453 39  4 63 53 74  0 #> 454 84  4 63 53 74  0 #> 455 39 96 63 53 74  0 #> 456 84 96 63 53 74  0 #> 457 39  4 92 53 74  0 #> 458 84  4 92 53 74  0 #> 459 39 96 92 53 74  0 #> 460 84 96 92 53 74  0 #> 461 39  4 63 89 74  0 #> 462 84  4 63 89 74  0 #> 463 39 96 63 89 74  0 #> 465 39  4 92 89 74  0 #> 466 84  4 92 89 74  0 #> 467 39 96 92 89 74  0 #> 470 84 44 49 84 15  0 #> 471 57 96 49 84 15  0 #> 472 84 96 49 84 15  0 #> 473 57 44 92 84 15  0 #> 474 84 44 92 84 15  0 #> 475 57 96 92 84 15  0 #> 476 84 96 92 84 15  0 #> 477 57 44 49 89 15  0 #> 478 84 44 49 89 15  0 #> 479 57 96 49 89 15  0 #> 480 84 96 49 89 15  0 #> 481 57 44 92 89 15  0 #> 482 84 44 92 89 15  0 #> 483 57 96 92 89 15  0 #> 485 57 44 49 84 74  0 #> 486 84 44 49 84 74  0 #> 487 57 96 49 84 74  0 #> 488 84 96 49 84 74  0 #> 489 57 44 92 84 74  0 #> 490 84 44 92 84 74  0 #> 491 57 96 92 84 74  0 #> 493 57 44 49 89 74  0 #> 494 84 44 49 89 74  0 #> 495 57 96 49 89 74  0 #> 496 84 96 49 89 74  0 #> 497 57 44 92 89 74  0 #> 498 84 44 92 89 74  0 #> 499 57 96 92 89 74  0 #> 502 84 12 60 53 22  0 #> 503 58 96 60 53 22  0 #> 504 84 96 60 53 22  0 #> 505 58 12 92 53 22  0 #> 506 84 12 92 53 22  0 #> 507 58 96 92 53 22  0 #> 508 84 96 92 53 22  0 #> 509 58 12 60 89 22  0 #> 510 84 12 60 89 22  0 #> 511 58 96 60 89 22  0 #> 512 84 96 60 89 22  0 #> 513 58 12 92 89 22  0 #> 514 84 12 92 89 22  0 #> 515 58 96 92 89 22  0 #> 517 58 12 60 53 74  0 #> 518 84 12 60 53 74  0 #> 519 58 96 60 53 74  0 #> 520 84 96 60 53 74  0 #> 521 58 12 92 53 74  0 #> 522 84 12 92 53 74  0 #> 523 58 96 92 53 74  0 #> 525 58 12 60 89 74  0 #> 526 84 12 60 89 74  0 #> 527 58 96 60 89 74  0 #> 528 84 96 60 89 74  0 #> 534 84 12 54 22 61  0 #> 535 47 96 54 22 61  0 #> 536 84 96 54 22 61  0 #> 537 47 12 92 22 61  0 #> 538 84 12 92 22 61  0 #> 539 47 96 92 22 61  0 #> 540 84 96 92 22 61  0 #> 541 47 12 54 89 61  0 #> 542 84 12 54 89 61  0 #> 543 47 96 54 89 61  0 #> 544 84 96 54 89 61  0 #> 545 47 12 92 89 61  0 #> 546 84 12 92 89 61  0 #> 547 47 96 92 89 61  0 #> 548 84 96 92 89 61  0 #> 549 47 12 54 22 74  0 #> 550 84 12 54 22 74  0 #> 551 47 96 54 22 74  0 #> 552 84 96 54 22 74  0 #> 553 47 12 92 22 74  0 #> 554 84 12 92 22 74  0 #> 555 47 96 92 22 74  0 #> 556 84 96 92 22 74  0 #> 557 47 12 54 89 74  0 #> 558 84 12 54 89 74  0 #> 559 47 96 54 89 74  0 #> 560 84 96 54 89 74  0 #> 561 47 12 92 89 74  0 #> 566 84 21 69 35 25  0 #> 567 32 96 69 35 25  0 #> 568 84 96 69 35 25  0 #> 569 32 21 92 35 25  0 #> 570 84 21 92 35 25  0 #> 571 32 96 92 35 25  0 #> 572 84 96 92 35 25  0 #> 573 32 21 69 89 25  0 #> 574 84 21 69 89 25  0 #> 575 32 96 69 89 25  0 #> 576 84 96 69 89 25  0 #> 577 32 21 92 89 25  0 #> 578 84 21 92 89 25  0 #> 579 32 96 92 89 25  0 #> 580 84 96 92 89 25  0 #> 581 32 21 69 35 74  0 #> 582 84 21 69 35 74  0 #> 583 32 96 69 35 74  0 #> 584 84 96 69 35 74  0 #> 585 32 21 92 35 74  0 #> 586 84 21 92 35 74  0 #> 587 32 96 92 35 74  0 #> 588 84 96 92 35 74  0 #> 589 32 21 69 89 74  0 #> 590 84 21 69 89 74  0 #> 591 32 96 69 89 74  0 #> 592 84 96 69 89 74  0 #> 593 32 21 92 89 74  0 #> 594 84 21 92 89 74  0 #> 595 32 96 92 89 74  0 #> 598 84 91 51 41 31  0 #> 599 33 96 51 41 31  0 #> 600 84 96 51 41 31  0 #> 601 33 91 92 41 31  0 #> 602 84 91 92 41 31  0 #> 603 33 96 92 41 31  0 #> 604 84 96 92 41 31  0 #> 605 33 91 51 89 31  0 #> 606 84 91 51 89 31  0 #> 607 33 96 51 89 31  0 #> 608 84 96 51 89 31  0 #> 609 33 91 92 89 31  0 #> 610 84 91 92 89 31  0 #> 611 33 96 92 89 31  0 #> 613 33 91 51 41 74  0 #> 614 84 91 51 41 74  0 #> 615 33 96 51 41 74  0 #> 616 84 96 51 41 74  0 #> 617 33 91 92 41 74  0 #> 618 84 91 92 41 74  0 #> 619 33 96 92 41 74  0 #> 620 84 96 92 41 74  0 #> 621 33 91 51 89 74  0 #> 622 84 91 51 89 74  0 #> 623 33 96 51 89 74  0 #> 624 84 96 51 89 74  0 #> 625 33 91 92 89 74  0 #> 626 84 91 92 89 74  0 #> 627 33 96 92 89 74  0 #> 630 84 27 62 60 19  0 #> 631 76 96 62 60 19  0 #> 632 84 96 62 60 19  0 #> 633 76 27 92 60 19  0 #> 634 84 27 92 60 19  0 #> 635 76 96 92 60 19  0 #> 636 84 96 92 60 19  0 #> 637 76 27 62 89 19  0 #> 638 84 27 62 89 19  0 #> 639 76 96 62 89 19  0 #> 640 84 96 62 89 19  0 #> 641 76 27 92 89 19  0 #> 642 84 27 92 89 19  0 #> 643 76 96 92 89 19  0 #> 644 84 96 92 89 19  0 #> 645 76 27 62 60 74  0 #> 646 84 27 62 60 74  0 #> 647 76 96 62 60 74  0 #> 648 84 96 62 60 74  0 #> 649 76 27 92 60 74  0 #> 650 84 27 92 60 74  0 #> 651 76 96 92 60 74  0 #> 653 76 27 62 89 74  0 #> 654 84 27 62 89 74  0 #> 655 76 96 62 89 74  0 #> 656 84 96 62 89 74  0 #> 657 76 27 92 89 74  0 #> 658 84 27 92 89 74  0 #> 659 76 96 92 89 74  0"},{"path":"http://relund.github.io/gMOIP/reference/binaryPoints.html","id":null,"dir":"Reference","previous_headings":"","what":"Binary (0-1) points in the feasible region (Ax<=b). — binaryPoints","title":"Binary (0-1) points in the feasible region (Ax<=b). — binaryPoints","text":"Binary (0-1) points feasible region (Ax<=b).","code":""},{"path":"http://relund.github.io/gMOIP/reference/binaryPoints.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Binary (0-1) points in the feasible region (Ax<=b). — binaryPoints","text":"","code":"binaryPoints(A, b)"},{"path":"http://relund.github.io/gMOIP/reference/binaryPoints.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Binary (0-1) points in the feasible region (Ax<=b). — binaryPoints","text":"Constraint matrix. b Right hand side.","code":""},{"path":"http://relund.github.io/gMOIP/reference/binaryPoints.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Binary (0-1) points in the feasible region (Ax<=b). — binaryPoints","text":"data frame binary points inside feasible region.","code":""},{"path":"http://relund.github.io/gMOIP/reference/binaryPoints.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Binary (0-1) points in the feasible region (Ax<=b). — binaryPoints","text":"simple enumeration binary points. work ncol() large.","code":""},{"path":"http://relund.github.io/gMOIP/reference/binaryPoints.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Binary (0-1) points in the feasible region (Ax<=b). — binaryPoints","text":"Lars Relund lars@relund.dk.","code":""},{"path":"http://relund.github.io/gMOIP/reference/binaryPoints.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Binary (0-1) points in the feasible region (Ax<=b). — binaryPoints","text":"","code":"A <- matrix( c(3,-2, 1, 2, 4,-2,-3, 2, 1), nc = 3, byrow = TRUE) b <- c(10, 12, 3) binaryPoints(A, b) #>      x1 x2 x3 #> [1,]  0  0  0 #> [2,]  1  0  0 #> [3,]  0  1  0 #> [4,]  1  1  0 #> [5,]  0  0  1 #> [6,]  1  0  1 #> [7,]  0  1  1 #> [8,]  1  1  1  A <- matrix(c(9, 10, 2, 4, -3, 2), ncol = 2, byrow = TRUE) b <- c(90, 27, 3) binaryPoints(A, b) #>      x1 x2 #> [1,]  0  0 #> [2,]  1  0 #> [3,]  0  1 #> [4,]  1  1"},{"path":"http://relund.github.io/gMOIP/reference/classifyNDSet.html","id":null,"dir":"Reference","previous_headings":"","what":"Classify a set of nondominated points — classifyNDSet","title":"Classify a set of nondominated points — classifyNDSet","text":"classification supported (true/false), extreme (true/false), supported non-extreme (true/false)","code":""},{"path":"http://relund.github.io/gMOIP/reference/classifyNDSet.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Classify a set of nondominated points — classifyNDSet","text":"","code":"classifyNDSet(pts, direction = 1)"},{"path":"http://relund.github.io/gMOIP/reference/classifyNDSet.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Classify a set of nondominated points — classifyNDSet","text":"pts set non-dominated points. assumed ncol(pts) equals number objectives ($p$). direction Ray direction. 'th entry positive, consider 'th column pts plus value greater equal zero (minimize objective $$). negative, consider 'th column pts minus value greater equal zero (maximize objective $$).","code":""},{"path":"http://relund.github.io/gMOIP/reference/classifyNDSet.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Classify a set of nondominated points — classifyNDSet","text":"ND set classification columns.","code":""},{"path":"http://relund.github.io/gMOIP/reference/classifyNDSet.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Classify a set of nondominated points — classifyNDSet","text":"assumed pts nondominated.","code":""},{"path":"http://relund.github.io/gMOIP/reference/classifyNDSet.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Classify a set of nondominated points — classifyNDSet","text":"3D plot 3D plot 3D plot 3D plot","code":"# \\donttest{ pts <- matrix(c(0,0,1, 0,1,0, 1,0,0, 0.5,0.2,0.5, 0.25,0.5,0.25), ncol = 3, byrow = TRUE) ini3D(argsPlot3d = list(xlim = c(min(pts[,1])-2,max(pts[,1])+2),   ylim = c(min(pts[,2])-2,max(pts[,2])+2),   zlim = c(min(pts[,3])-2,max(pts[,3])+2))) plotHull3D(pts, addRays = TRUE, argsPolygon3d = list(alpha = 0.5), useRGLBBox = TRUE) pts <- classifyNDSet(pts[,1:3]) plotPoints3D(pts[pts$se,1:3], argsPlot3d = list(col = \"red\")) plotPoints3D(pts[pts$sne,1:3], argsPlot3d = list(col = \"black\")) plotPoints3D(pts[pts$us,1:3], argsPlot3d = list(col = \"blue\")) plotCones3D(pts[,1:3], rectangle = TRUE, argsPolygon3d = list(alpha = 1)) finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}pts #>     z1  z2   z3    se   sne    us cls #> 1 0.00 0.0 1.00  TRUE FALSE FALSE  se #> 2 0.00 1.0 0.00  TRUE FALSE FALSE  se #> 3 1.00 0.0 0.00  TRUE FALSE FALSE  se #> 4 0.50 0.2 0.50 FALSE FALSE  TRUE  us #> 5 0.25 0.5 0.25 FALSE  TRUE FALSE sne  pts <- matrix(c(0,0,1, 0,1,0, 1,0,0, 0.2,0.1,0.1, 0.1,0.45,0.45), ncol = 3, byrow = TRUE) di <- -1 # maximize ini3D(argsPlot3d = list(xlim = c(min(pts[,1])-1,max(pts[,1])+1),   ylim = c(min(pts[,2])-1,max(pts[,2])+1),   zlim = c(min(pts[,3])-1,max(pts[,3])+1))) plotHull3D(pts, addRays = TRUE, argsPolygon3d = list(alpha = 0.5), direction = di,            addText = \"coord\") pts <- classifyNDSet(pts[,1:3], direction = di) plotPoints3D(pts[pts$se,1:3], argsPlot3d = list(col = \"red\")) plotPoints3D(pts[pts$sne,1:3], argsPlot3d = list(col = \"black\")) plotPoints3D(pts[pts$us,1:3], argsPlot3d = list(col = \"blue\")) plotCones3D(pts[,1:3], rectangle = TRUE, argsPolygon3d = list(alpha = 1), direction = di) finalize3D() 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}pts #>    z1   z2   z3    se   sne    us cls #> 1 0.0 0.00 1.00  TRUE FALSE FALSE  se #> 2 0.0 1.00 0.00  TRUE FALSE FALSE  se #> 3 1.0 0.00 0.00  TRUE FALSE FALSE  se #> 4 0.2 0.10 0.10 FALSE FALSE  TRUE  us #> 5 0.1 0.45 0.45 FALSE  TRUE FALSE sne  pts <- matrix(c(0,0,1, 0,0,1, 0,1,0, 0.5,0.2,0.5, 1,0,0, 0.5,0.2,0.5, 0.25,0.5,0.25), ncol = 3,               byrow = TRUE) classifyNDSet(pts) #>     z1  z2   z3    se   sne    us cls #> 1 0.00 0.0 1.00  TRUE FALSE FALSE  se #> 2 0.00 0.0 1.00  TRUE FALSE FALSE  se #> 3 0.00 1.0 0.00  TRUE FALSE FALSE  se #> 4 0.50 0.2 0.50 FALSE FALSE  TRUE  us #> 5 1.00 0.0 0.00  TRUE FALSE FALSE  se #> 6 0.50 0.2 0.50 FALSE FALSE  TRUE  us #> 7 0.25 0.5 0.25 FALSE  TRUE FALSE sne  pts <- genNDSet(3,15)[,1:3] ini3D(argsPlot3d = list(xlim = c(0,max(pts$z1)+2),   ylim = c(0,max(pts$z2)+2),   zlim = c(0,max(pts$z3)+2))) plotHull3D(pts[, 1:3], addRays = TRUE, argsPolygon3d = list(alpha = 0.5)) pts <- classifyNDSet(pts[,1:3]) plotPoints3D(pts[pts$se,1:3], argsPlot3d = list(col = \"red\")) plotPoints3D(pts[pts$sne,1:3], argsPlot3d = list(col = \"black\")) plotPoints3D(pts[pts$us,1:3], argsPlot3d = list(col = \"blue\")) finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}pts #>    z1 z2 z3    se   sne    us cls #> 1  23 28 16  TRUE FALSE FALSE  se #> 2  16 57 16  TRUE FALSE FALSE  se #> 3  58 49  2  TRUE FALSE FALSE  se #> 4  29  6 53  TRUE FALSE FALSE  se #> 5  19 13 57  TRUE FALSE FALSE  se #> 6   2 47 60  TRUE FALSE FALSE  se #> 7  10 37 75 FALSE FALSE  TRUE  us #> 8  64 28  8  TRUE FALSE FALSE  se #> 9  43  3 62  TRUE FALSE FALSE  se #> 10 22 50 10  TRUE FALSE FALSE  se #> 11  5 39 34  TRUE FALSE FALSE  se #> 12  9 52 24  TRUE FALSE FALSE  se #> 13  4 64 38  TRUE FALSE FALSE  se #> 14 38 49  3  TRUE FALSE FALSE  se #> 15 13 21 63  TRUE FALSE FALSE  se  pts <- genNDSet(3, 15, keepDom = F, argsSphere = list(below = FALSE, factor = 10))[,1:3] ini3D(argsPlot3d = list(xlim = c(0,max(pts$z1)+2),   ylim = c(0,max(pts$z2)+2),   zlim = c(0,max(pts$z3)+2))) plotHull3D(pts[, 1:3], addRays = TRUE, argsPolygon3d = list(alpha = 0.5)) pts <- classifyNDSet(pts[,1:3]) plotPoints3D(pts[pts$se,1:3], argsPlot3d = list(col = \"red\")) plotPoints3D(pts[pts$sne,1:3], argsPlot3d = list(col = \"black\")) plotPoints3D(pts[pts$us,1:3], argsPlot3d = list(col = \"blue\")) finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}pts #>    z1 z2 z3    se   sne    us cls #> 1  92 36 27  TRUE FALSE FALSE  se #> 2  74 75 15 FALSE FALSE  TRUE  us #> 3  22 62 89 FALSE FALSE  TRUE  us #> 4  71 82 18 FALSE FALSE  TRUE  us #> 5  23 91 47  TRUE FALSE FALSE  se #> 6  79 67 13  TRUE FALSE FALSE  se #> 7  51 24 92 FALSE FALSE  TRUE  us #> 8  48 90 21  TRUE FALSE FALSE  se #> 9  81 13 61  TRUE FALSE FALSE  se #> 10 23 45 91  TRUE FALSE FALSE  se #> 11 84 16 60 FALSE FALSE  TRUE  us #> 12 41 94 28  TRUE FALSE FALSE  se #> 13 48 25 93  TRUE FALSE FALSE  se #> 14 14 65 80  TRUE FALSE FALSE  se #> 15 28 36 92  TRUE FALSE FALSE  se # }"},{"path":"http://relund.github.io/gMOIP/reference/convexHull.html","id":null,"dir":"Reference","previous_headings":"","what":"Find the convex hull of a set of points. — convexHull","title":"Find the convex hull of a set of points. — convexHull","text":"Find convex hull set points.","code":""},{"path":"http://relund.github.io/gMOIP/reference/convexHull.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Find the convex hull of a set of points. — convexHull","text":"","code":"convexHull(   pts,   addRays = FALSE,   useRGLBBox = FALSE,   direction = 1,   tol = mean(mean(abs(pts))) * sqrt(.Machine$double.eps) * 2,   m = apply(pts, 2, min) - 5,   M = apply(pts, 2, max) + 5 )"},{"path":"http://relund.github.io/gMOIP/reference/convexHull.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Find the convex hull of a set of points. — convexHull","text":"pts matrix point row. addRays Add ray defined direction. useRGLBBox Use RGL bounding box add rays. direction Ray direction. 'th entry positive, consider 'th column pts plus value greater equal zero (minimize objective $$). negative, consider 'th column pts minus value greater equal zero (maximize objective $$). tol Tolerance standard deviation using PCA. m Minimum values bounding box. M Maximum values bounding box.","code":""},{"path":"http://relund.github.io/gMOIP/reference/convexHull.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Find the convex hull of a set of points. — convexHull","text":"list hull equal matrix row indices vertices defining facet hull pts equal input points (dummy points) columns: pt, true point original input; false dummy point (point ray). vtx, TRUE vertex hull.","code":""},{"path":"http://relund.github.io/gMOIP/reference/convexHull.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Find the convex hull of a set of points. — convexHull","text":"3D plot","code":"## 1D pts<-matrix(c(1,2,3), ncol = 1, byrow = TRUE) dimFace(pts) # a line #> [1] 1 convexHull(pts) #> $hull #>      [,1] [,2] #> [1,]    1    3 #>  #> $pts #>   p1 pt   vtx #> 1  1  1  TRUE #> 2  2  1 FALSE #> 3  3  1  TRUE #>  convexHull(pts, addRays = TRUE) #> $hull #>      [,1] [,2] #> [1,]    1    4 #>  #> $pts #>    p1 pt   vtx #> 1   1  1  TRUE #> 2   2  1 FALSE #> 3   3  1 FALSE #> 21  8  0  TRUE #>   ## 2D pts<-matrix(c(1,1, 2,2), ncol = 2, byrow = TRUE) dimFace(pts) # a line #> [1] 1 convexHull(pts) #> $hull #>      [,1] [,2] #> [1,]    1    2 #>  #> $pts #>   p1 p2 pt  vtx #> 1  1  1  1 TRUE #> 2  2  2  1 TRUE #>  plotHull2D(pts, drawPoints = TRUE)  convexHull(pts, addRays = TRUE) #> $hull #>      [,1] [,2] [,3] [,4] #> [1,]    3    1    4    5 #>  #> $pts #>    p1 p2 pt   vtx #> 1   1  1  1  TRUE #> 2   2  2  1 FALSE #> 21  7  1  0  TRUE #> 3   1  7  0  TRUE #> 4   7  7  0  TRUE #>  plotHull2D(pts, addRays = TRUE, drawPoints = TRUE)  pts<-matrix(c(1,1, 2,2, 0,1), ncol = 2, byrow = TRUE) dimFace(pts) # a polygon #> [1] 2 convexHull(pts) #> $hull #>      [,1] [,2] [,3] #> [1,]    1    3    2 #>  #> $pts #>   p1 p2 pt  vtx #> 1  1  1  1 TRUE #> 2  2  2  1 TRUE #> 3  0  1  1 TRUE #>  plotHull2D(pts, drawPoints = TRUE)  convexHull(pts, addRays = TRUE, direction = c(-1,1)) #> $hull #>      [,1] [,2] [,3] [,4] [,5] #> [1,]    2    1    4    5    6 #>  #> $pts #>    p1 p2 pt   vtx #> 1   1  1  1  TRUE #> 2   2  2  1  TRUE #> 3   0  1  1 FALSE #> 21 -5  1  0  TRUE #> 4  -5  7  0  TRUE #> 32  2  7  0  TRUE #>  plotHull2D(pts, addRays = TRUE, direction = c(-1,1), addText = \"coord\")   ## 3D pts<-matrix(c(1,1,1), ncol = 3, byrow = TRUE) dimFace(pts) # a point #> [1] 0 convexHull(pts) #> $hull #>      [,1] #> [1,]    1 #>  #> $pts #>   p1 p2 p3 pt  vtx #> 1  1  1  1  1 TRUE #>  pts<-matrix(c(0,0,0,1,1,1,2,2,2,3,3,3), ncol = 3, byrow = TRUE) dimFace(pts) # a line #> [1] 1 convexHull(pts) #> $hull #>      [,1] [,2] #> [1,]    1    4 #>  #> $pts #>   p1 p2 p3 pt   vtx #> 1  0  0  0  1  TRUE #> 2  1  1  1  1 FALSE #> 3  2  2  2  1 FALSE #> 4  3  3  3  1  TRUE #>  pts<-matrix(c(0,0,0,0,1,1,0,2,2,0,0,2), ncol = 3, byrow = TRUE) dimFace(pts) # a polygon #> [1] 2 convexHull(pts) #> $hull #>      [,1] [,2] [,3] #> [1,]    1    4    3 #>  #> $pts #>   p1 p2 p3 pt   vtx #> 1  0  0  0  1  TRUE #> 2  0  1  1  1 FALSE #> 3  0  2  2  1  TRUE #> 4  0  0  2  1  TRUE #>  convexHull(pts, addRays = TRUE) #> $hull #>      [,1] [,2] [,3] [,4] #> [1,]    7    6    5    1 #> [2,]    9    8    5    1 #> [3,]    9    7   11    5 #> [4,]   10    8    6    1 #> [5,]   10    7   11    6 #> [6,]   10    9   11    8 #>  #> $pts #>    p1 p2 p3 pt   vtx #> 1   0  0  0  1  TRUE #> 2   0  1  1  1 FALSE #> 3   0  2  2  1 FALSE #> 4   0  0  2  1 FALSE #> 21  5  0  0  0  TRUE #> 31  0  7  0  0  TRUE #> 41  5  7  0  0  TRUE #> 5   0  0  7  0  TRUE #> 6   5  0  7  0  TRUE #> 7   0  7  7  0  TRUE #> 8   5  7  7  0  TRUE #>  pts<-matrix(c(1,0,0,1,1,1,1,2,2,3,1,1), ncol = 3, byrow = TRUE) dimFace(pts) # a polygon #> [1] 2 convexHull(pts) # a polyhedron #> $hull #>      [,1] [,2] [,3] #> [1,]    1    3    4 #>  #> $pts #>   p1 p2 p3 pt   vtx #> 1  1  0  0  1  TRUE #> 2  1  1  1  1 FALSE #> 3  1  2  2  1  TRUE #> 4  3  1  1  1  TRUE #>  pts<-matrix(c(1,1,1,2,2,1,2,1,1,1,1,2), ncol = 3, byrow = TRUE) dimFace(pts) # a polytope (polyhedron) #> [1] 3 convexHull(pts) #> $hull #>      [,1] [,2] [,3] #> [1,]    3    2    1 #> [2,]    4    2    1 #> [3,]    4    3    1 #> [4,]    4    3    2 #> attr(,\"convhulln\") #> <pointer: 0x55b2a16cb280> #>  #> $pts #>   p1 p2 p3 pt  vtx #> 1  1  1  1  1 TRUE #> 2  2  2  1  1 TRUE #> 3  2  1  1  1 TRUE #> 4  1  1  2  1 TRUE #>   ini3D(argsPlot3d = list(xlim = c(0,3), ylim = c(0,3), zlim = c(0,3))) pts<-matrix(c(1,1,1,2,2,1,2,1,1,1,1,2), ncol = 3, byrow = TRUE) plotPoints3D(pts) plotHull3D(pts, argsPolygon3d = list(color = \"red\")) convexHull(pts) #> $hull #>      [,1] [,2] [,3] #> [1,]    3    2    1 #> [2,]    4    2    1 #> [3,]    4    3    1 #> [4,]    4    3    2 #> attr(,\"convhulln\") #> <pointer: 0x55b2a6892b00> #>  #> $pts #>   p1 p2 p3 pt  vtx #> 1  1  1  1  1 TRUE #> 2  2  2  1  1 TRUE #> 3  2  1  1  1 TRUE #> 4  1  1  2  1 TRUE #>  plotHull3D(pts, addRays = TRUE) convexHull(pts, addRays = TRUE) #> $hull #>      [,1] [,2] [,3] [,4] #> [1,]    7    6    5    1 #> [2,]    9    8    5    1 #> [3,]    9    7   11    5 #> [4,]   10    8    6    1 #> [5,]   10    7   11    6 #> [6,]   10    9   11    8 #>  #> $pts #>    p1 p2 p3 pt   vtx #> 1   1  1  1  1  TRUE #> 2   2  2  1  1 FALSE #> 3   2  1  1  1 FALSE #> 4   1  1  2  1 FALSE #> 21  7  1  1  0  TRUE #> 31  1  7  1  0  TRUE #> 41  7  7  1  0  TRUE #> 5   1  1  7  0  TRUE #> 6   7  1  7  0  TRUE #> 7   1  7  7  0  TRUE #> 8   7  7  7  0  TRUE #>  finalize3D() 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}"},{"path":"http://relund.github.io/gMOIP/reference/cornerPoints.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate the corner points for the polytope Ax<=b. — cornerPoints","title":"Calculate the corner points for the polytope Ax<=b. — cornerPoints","text":"Calculate corner points polytope Ax<=b.","code":""},{"path":"http://relund.github.io/gMOIP/reference/cornerPoints.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate the corner points for the polytope Ax<=b. — cornerPoints","text":"","code":"cornerPoints(A, b, type = rep(\"c\", ncol(A)), nonneg = rep(TRUE, ncol(A)))"},{"path":"http://relund.github.io/gMOIP/reference/cornerPoints.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate the corner points for the polytope Ax<=b. — cornerPoints","text":"Constraint matrix. b Right hand side. type character vector length number variables. entry k '' variable \\(k\\) must integer 'c' continuous. nonneg boolean vector length number variables. entry k TRUE variable k must non-negative.","code":""},{"path":"http://relund.github.io/gMOIP/reference/cornerPoints.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate the corner points for the polytope Ax<=b. — cornerPoints","text":"data frame corner point row.","code":""},{"path":"http://relund.github.io/gMOIP/reference/cornerPoints.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate the corner points for the polytope Ax<=b. — cornerPoints","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/cornerPoints.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate the corner points for the polytope Ax<=b. — cornerPoints","text":"","code":"A <- matrix( c(3,-2, 1, 2, 4,-2,-3, 2, 1), nc = 3, byrow = TRUE) b <- c(10, 12, 3) cornerPoints(A, b, type = c(\"c\", \"c\", \"c\")) #>            x1    x2  x3 #> [1,] 4.000000 4.250 6.5 #> [2,] 1.166667 0.000 6.5 #> [3,] 0.000000 0.000 3.0 #> [4,] 4.000000 1.000 0.0 #> [5,] 0.750000 2.625 0.0 #> [6,] 0.000000 1.500 0.0 #> [7,] 3.333333 0.000 0.0 #> [8,] 0.000000 0.000 0.0 cornerPoints(A, b, type = c(\"i\", \"i\", \"i\")) #>       x1 x2 x3 #>  [1,]  2  0  4 #>  [2,]  2  1  6 #>  [3,]  1  0  6 #>  [4,]  2  3  2 #>  [5,]  2  2  0 #>  [6,]  1  2  0 #>  [7,]  3  0  1 #>  [8,]  3  0  0 #>  [9,]  4  1  0 #> [10,]  2  3  3 #> [11,]  4  4  6 #> [12,]  3  3  6 #> [13,]  0  1  0 #> [14,]  0  0  0 #> [15,]  0  0  3 #> [16,]  0  1  1 cornerPoints(A, b, type = c(\"i\", \"c\", \"c\")) #>       x1   x2  x3 #>  [1,]  0 0.00 0.0 #>  [2,]  0 1.50 0.0 #>  [3,]  0 0.00 3.0 #>  [4,]  1 2.50 0.0 #>  [5,]  1 2.75 0.5 #>  [6,]  2 1.25 6.5 #>  [7,]  2 0.00 4.0 #>  [8,]  1 0.00 6.0 #>  [9,]  3 0.00 1.0 #> [10,]  3 0.00 0.0 #> [11,]  4 1.00 0.0 #> [12,]  4 4.25 6.5"},{"path":"http://relund.github.io/gMOIP/reference/cornerPointsCont.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate the corner points for the polytope Ax<=b assuming all variables are\ncontinuous. — cornerPointsCont","title":"Calculate the corner points for the polytope Ax<=b assuming all variables are\ncontinuous. — cornerPointsCont","text":"Calculate corner points polytope Ax<=b assuming variables continuous.","code":""},{"path":"http://relund.github.io/gMOIP/reference/cornerPointsCont.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate the corner points for the polytope Ax<=b assuming all variables are\ncontinuous. — cornerPointsCont","text":"","code":"cornerPointsCont(A, b, nonneg = rep(TRUE, ncol(A)))"},{"path":"http://relund.github.io/gMOIP/reference/cornerPointsCont.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate the corner points for the polytope Ax<=b assuming all variables are\ncontinuous. — cornerPointsCont","text":"Constraint matrix. b Right hand side. nonneg boolean vector length number variables. entry k TRUE variable k must non-negative.","code":""},{"path":"http://relund.github.io/gMOIP/reference/cornerPointsCont.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate the corner points for the polytope Ax<=b assuming all variables are\ncontinuous. — cornerPointsCont","text":"data frame corner point row.","code":""},{"path":"http://relund.github.io/gMOIP/reference/cornerPointsCont.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate the corner points for the polytope Ax<=b assuming all variables are\ncontinuous. — cornerPointsCont","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/criterionPoints.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate the criterion points of a set of points and ranges to find the set\nof non-dominated points (Pareto points) and classify them into extreme\nsupported, non-extreme supported, non-supported. — criterionPoints","title":"Calculate the criterion points of a set of points and ranges to find the set\nof non-dominated points (Pareto points) and classify them into extreme\nsupported, non-extreme supported, non-supported. — criterionPoints","text":"Calculate criterion points set points ranges find set non-dominated points (Pareto points) classify extreme supported, non-extreme supported, non-supported.","code":""},{"path":"http://relund.github.io/gMOIP/reference/criterionPoints.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate the criterion points of a set of points and ranges to find the set\nof non-dominated points (Pareto points) and classify them into extreme\nsupported, non-extreme supported, non-supported. — criterionPoints","text":"","code":"criterionPoints(pts, obj, crit, labels = \"coord\")"},{"path":"http://relund.github.io/gMOIP/reference/criterionPoints.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate the criterion points of a set of points and ranges to find the set\nof non-dominated points (Pareto points) and classify them into extreme\nsupported, non-extreme supported, non-supported. — criterionPoints","text":"pts data frame column variable solution space (can also rangePoints). obj p x n matrix(one row criterion). crit Either max min. labels NULL \"n\" add labels (empty string). equals coord, labels solution space coordinates. Otherwise number points one based solution space points.","code":""},{"path":"http://relund.github.io/gMOIP/reference/criterionPoints.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate the criterion points of a set of points and ranges to find the set\nof non-dominated points (Pareto points) and classify them into extreme\nsupported, non-extreme supported, non-supported. — criterionPoints","text":"data frame columns x1, ..., xn, z1, ..., zp, lbl (label), nD (non-dominated), ext (extreme), nonExt (non-extreme supported).","code":""},{"path":"http://relund.github.io/gMOIP/reference/criterionPoints.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate the criterion points of a set of points and ranges to find the set\nof non-dominated points (Pareto points) and classify them into extreme\nsupported, non-extreme supported, non-supported. — criterionPoints","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/criterionPoints.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate the criterion points of a set of points and ranges to find the set\nof non-dominated points (Pareto points) and classify them into extreme\nsupported, non-extreme supported, non-supported. — criterionPoints","text":"","code":"A <- matrix( c(3, -2, 1, 2, 4, -2, -3, 2, 1), nc = 3, byrow = TRUE) b <- c(10,12,3) pts <- integerPoints(A, b) obj <- matrix( c(1,-3,1,-1,1,-1), byrow = TRUE, ncol = 3 ) criterionPoints(pts, obj, crit = \"max\", labels = \"numb\") #>     x1 x2 x3 z1 z2 lbl    nd    se   sne    us cls #> 1    0  0  0  0  0   1  TRUE  TRUE FALSE FALSE  se #> 2    1  0  0  1 -1   2  TRUE FALSE  TRUE FALSE sne #> 3    1  0  0  1 -1   2  TRUE FALSE  TRUE FALSE sne #> 4    2  0  0  2 -2   3  TRUE FALSE  TRUE FALSE sne #> 5    2  0  0  2 -2   3  TRUE FALSE  TRUE FALSE sne #> 6    2  0  0  2 -2   3  TRUE FALSE  TRUE FALSE sne #> 7    3  0  0  3 -3   4  TRUE FALSE  TRUE FALSE sne #> 8    3  0  0  3 -3   4  TRUE FALSE  TRUE FALSE sne #> 9    3  0  0  3 -3   4  TRUE FALSE  TRUE FALSE sne #> 10   3  0  0  3 -3   4  TRUE FALSE  TRUE FALSE sne #> 11   0  1  0 -3  1   5  TRUE  TRUE FALSE FALSE  se #> 12   1  1  0 -2  0   6 FALSE FALSE FALSE  TRUE   d #> 13   1  1  0 -2  0   6 FALSE FALSE FALSE  TRUE   d #> 14   2  1  0 -1 -1   7 FALSE FALSE FALSE  TRUE   d #> 15   2  1  0 -1 -1   7 FALSE FALSE FALSE  TRUE   d #> 16   3  1  0  0 -2   8 FALSE FALSE FALSE  TRUE   d #> 17   3  1  0  0 -2   8 FALSE FALSE FALSE  TRUE   d #> 18   3  1  0  0 -2   8 FALSE FALSE FALSE  TRUE   d #> 19   4  1  0  1 -3   9 FALSE FALSE FALSE  TRUE   d #> 20   4  1  0  1 -3   9 FALSE FALSE FALSE  TRUE   d #> 21   4  1  0  1 -3   9 FALSE FALSE FALSE  TRUE   d #> 22   4  1  0  1 -3   9 FALSE FALSE FALSE  TRUE   d #> 23   1  2  0 -5  1  10 FALSE FALSE FALSE  TRUE   d #> 24   2  2  0 -4  0  11 FALSE FALSE FALSE  TRUE   d #> 25   2  2  0 -4  0  11 FALSE FALSE FALSE  TRUE   d #> 26   0  0  1  1 -1  12  TRUE FALSE  TRUE FALSE sne #> 27   0  0  1  1 -1  12  TRUE FALSE  TRUE FALSE sne #> 28   1  0  1  2 -2  13  TRUE FALSE  TRUE FALSE sne #> 29   1  0  1  2 -2  13  TRUE FALSE  TRUE FALSE sne #> 30   1  0  1  2 -2  13  TRUE FALSE  TRUE FALSE sne #> 31   2  0  1  3 -3  14  TRUE FALSE  TRUE FALSE sne #> 32   2  0  1  3 -3  14  TRUE FALSE  TRUE FALSE sne #> 33   2  0  1  3 -3  14  TRUE FALSE  TRUE FALSE sne #> 34   2  0  1  3 -3  14  TRUE FALSE  TRUE FALSE sne #> 35   3  0  1  4 -4  15  TRUE FALSE  TRUE FALSE sne #> 36   3  0  1  4 -4  15  TRUE FALSE  TRUE FALSE sne #> 37   3  0  1  4 -4  15  TRUE FALSE  TRUE FALSE sne #> 38   0  1  1 -2  0  16 FALSE FALSE FALSE  TRUE   d #> 39   0  1  1 -2  0  16 FALSE FALSE FALSE  TRUE   d #> 40   1  1  1 -1 -1  17 FALSE FALSE FALSE  TRUE   d #> 41   1  1  1 -1 -1  17 FALSE FALSE FALSE  TRUE   d #> 42   2  1  1  0 -2  18 FALSE FALSE FALSE  TRUE   d #> 43   2  1  1  0 -2  18 FALSE FALSE FALSE  TRUE   d #> 44   2  1  1  0 -2  18 FALSE FALSE FALSE  TRUE   d #> 45   3  1  1  1 -3  19 FALSE FALSE FALSE  TRUE   d #> 46   3  1  1  1 -3  19 FALSE FALSE FALSE  TRUE   d #> 47   3  1  1  1 -3  19 FALSE FALSE FALSE  TRUE   d #> 48   3  1  1  1 -3  19 FALSE FALSE FALSE  TRUE   d #> 49   1  2  1 -4  0  20 FALSE FALSE FALSE  TRUE   d #> 50   1  2  1 -4  0  20 FALSE FALSE FALSE  TRUE   d #> 51   2  2  1 -3 -1  21 FALSE FALSE FALSE  TRUE   d #> 52   2  2  1 -3 -1  21 FALSE FALSE FALSE  TRUE   d #> 53   3  2  1 -2 -2  22 FALSE FALSE FALSE  TRUE   d #> 54   3  2  1 -2 -2  22 FALSE FALSE FALSE  TRUE   d #> 55   0  0  2  2 -2  23  TRUE FALSE  TRUE FALSE sne #> 56   0  0  2  2 -2  23  TRUE FALSE  TRUE FALSE sne #> 57   0  0  2  2 -2  23  TRUE FALSE  TRUE FALSE sne #> 58   1  0  2  3 -3  24  TRUE FALSE  TRUE FALSE sne #> 59   1  0  2  3 -3  24  TRUE FALSE  TRUE FALSE sne #> 60   1  0  2  3 -3  24  TRUE FALSE  TRUE FALSE sne #> 61   1  0  2  3 -3  24  TRUE FALSE  TRUE FALSE sne 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#> 136  2  1  6  5 -7  58 FALSE FALSE FALSE  TRUE   d #> 137  3  3  6  0 -6  59 FALSE FALSE FALSE  TRUE   d #> 138  4  4  6 -2 -6  60 FALSE FALSE FALSE  TRUE   d"},{"path":"http://relund.github.io/gMOIP/reference/df2String.html","id":null,"dir":"Reference","previous_headings":"","what":"Convert each row to a string. — df2String","title":"Convert each row to a string. — df2String","text":"Convert row string.","code":""},{"path":"http://relund.github.io/gMOIP/reference/df2String.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Convert each row to a string. — df2String","text":"","code":"df2String(df, round = 2)"},{"path":"http://relund.github.io/gMOIP/reference/df2String.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Convert each row to a string. — df2String","text":"df Data frame. round many digits round","code":""},{"path":"http://relund.github.io/gMOIP/reference/df2String.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Convert each row to a string. — df2String","text":"vector strings.","code":""},{"path":"http://relund.github.io/gMOIP/reference/dimFace.html","id":null,"dir":"Reference","previous_headings":"","what":"Return the dimension of the convex hull of a set of points. — dimFace","title":"Return the dimension of the convex hull of a set of points. — dimFace","text":"Return dimension convex hull set points.","code":""},{"path":"http://relund.github.io/gMOIP/reference/dimFace.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Return the dimension of the convex hull of a set of points. — dimFace","text":"","code":"dimFace(pts, dim = NULL)"},{"path":"http://relund.github.io/gMOIP/reference/dimFace.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Return the dimension of the convex hull of a set of points. — dimFace","text":"pts matrix/data frame/vector can converted matrix row point. dim dimension points, .e. assume column 1-dim specify points. NULL assume dimension number columns.","code":""},{"path":"http://relund.github.io/gMOIP/reference/dimFace.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Return the dimension of the convex hull of a set of points. — dimFace","text":"dimension object.","code":""},{"path":"http://relund.github.io/gMOIP/reference/dimFace.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Return the dimension of the convex hull of a set of points. — dimFace","text":"","code":"## In 1D pts <- matrix(c(3), ncol = 1, byrow = TRUE) dimFace(pts) #> [1] 0 pts <- matrix(c(1,3,4), ncol = 1, byrow = TRUE) dimFace(pts) #> [1] 1  ## In 2D pts <- matrix(c(3,3,6,3,3,6), ncol = 2, byrow = TRUE) dimFace(pts) #> [1] 2 pts <- matrix(c(1,1,2,2,3,3), ncol = 2, byrow = TRUE) dimFace(pts) #> [1] 1 pts <- matrix(c(0,0), ncol = 2, byrow = TRUE) dimFace(pts) #> [1] 0  ## In 3D pts <- c(3,3,3,6,3,3,3,6,3,6,6,3) dimFace(pts, dim = 3) #> [1] 2 pts <- matrix( c(1,1,1), ncol = 3, byrow = TRUE) dimFace(pts) #> [1] 0 pts <- matrix( c(1,1,1,2,2,2), ncol = 3, byrow = TRUE) dimFace(pts) #> [1] 1 pts <- matrix(c(2,2,2,3,2,2), ncol=3, byrow= TRUE) dimFace(pts) #> [1] 1 pts <- matrix(c(0,0,0,0,1,1,0,2,2,0,5,2,0,6,1), ncol = 3, byrow = TRUE) dimFace(pts) #> [1] 2 pts <- matrix(c(0,0,0,0,1,1,0,2,2,0,0,2,1,1,1), ncol = 3, byrow = TRUE) dimFace(pts) #> [1] 3  ## In 4D pts <- matrix(c(2,2,2,3,2,2,3,4,1,2,3,4), ncol=4, byrow= TRUE) dimFace(pts,) #> [1] 2"},{"path":"http://relund.github.io/gMOIP/reference/dot-checkPts.html","id":null,"dir":"Reference","previous_headings":"","what":"Check if point input is okay — .checkPts","title":"Check if point input is okay — .checkPts","text":"Check point input okay","code":""},{"path":"http://relund.github.io/gMOIP/reference/dot-checkPts.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Check if point input is okay — .checkPts","text":"","code":".checkPts(pts, p = NULL, warn = FALSE, stopUnique = TRUE, asDF = FALSE)"},{"path":"http://relund.github.io/gMOIP/reference/dot-checkPts.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Check if point input is okay — .checkPts","text":"pts Point input. p Desired dimension points. warn Output warnings. stopUnique Stop rows unique. asDF Return data frame otherwise matrix.","code":""},{"path":"http://relund.github.io/gMOIP/reference/dot-checkPts.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Check if point input is okay — .checkPts","text":"Point input converted matrix.","code":""},{"path":"http://relund.github.io/gMOIP/reference/dot-getRanges.html","id":null,"dir":"Reference","previous_headings":"","what":"Get ranges of the bounding box margins — .getRanges","title":"Get ranges of the bounding box margins — .getRanges","text":"Get ranges bounding box margins","code":""},{"path":"http://relund.github.io/gMOIP/reference/dot-getRanges.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Get ranges of the bounding box margins — .getRanges","text":"","code":".getRanges(expand = 1.03, ranges = par3d(\"bbox\"))"},{"path":"http://relund.github.io/gMOIP/reference/dot-getRanges.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Get ranges of the bounding box margins — .getRanges","text":"expand Expand margins. ranges bounding box.","code":""},{"path":"http://relund.github.io/gMOIP/reference/dot-getRanges.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Get ranges of the bounding box margins — .getRanges","text":"list ranges.","code":""},{"path":"http://relund.github.io/gMOIP/reference/dot-mToDirection.html","id":null,"dir":"Reference","previous_headings":"","what":"Convert min/max to direction (1/-1) — .mToDirection","title":"Convert min/max to direction (1/-1) — .mToDirection","text":"Convert min/max direction (1/-1)","code":""},{"path":"http://relund.github.io/gMOIP/reference/dot-mToDirection.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Convert min/max to direction (1/-1) — .mToDirection","text":"","code":".mToDirection(m, p)"},{"path":"http://relund.github.io/gMOIP/reference/dot-mToDirection.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Convert min/max to direction (1/-1) — .mToDirection","text":"m Min/max vector. p Number objectives.","code":""},{"path":"http://relund.github.io/gMOIP/reference/dot-mToDirection.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Convert min/max to direction (1/-1) — .mToDirection","text":"direction vector (min = 1 max = -1)","code":""},{"path":"http://relund.github.io/gMOIP/reference/dot-sizeM.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate 1 em in pixels in the resulting png. — .sizeM","title":"Estimate 1 em in pixels in the resulting png. — .sizeM","text":"Estimate 1 em pixels resulting png.","code":""},{"path":"http://relund.github.io/gMOIP/reference/dot-sizeM.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate 1 em in pixels in the resulting png. — .sizeM","text":"","code":".sizeM(...)"},{"path":"http://relund.github.io/gMOIP/reference/dot-sizeM.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate 1 em in pixels in the resulting png. — .sizeM","text":"... Arguments parsed texToPng.","code":""},{"path":"http://relund.github.io/gMOIP/reference/dot-sizeM.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate 1 em in pixels in the resulting png. — .sizeM","text":"width size png.","code":""},{"path":"http://relund.github.io/gMOIP/reference/finalize3D.html","id":null,"dir":"Reference","previous_headings":"","what":"Finalize the RGL window. — finalize3D","title":"Finalize the RGL window. — finalize3D","text":"Finalize RGL window.","code":""},{"path":"http://relund.github.io/gMOIP/reference/finalize3D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Finalize the RGL window. — finalize3D","text":"","code":"finalize3D(...)"},{"path":"http://relund.github.io/gMOIP/reference/finalize3D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Finalize the RGL window. — finalize3D","text":"... arguments passed RGL plotting functions. must done lists. Currently following arguments supported: argsAxes3d: list arguments rgl::axes3d. argsTitle3d: list arguments rgl::title3d.","code":""},{"path":"http://relund.github.io/gMOIP/reference/finalize3D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Finalize the RGL window. — finalize3D","text":"RGL object (using rgl::highlevel()).","code":""},{"path":"http://relund.github.io/gMOIP/reference/finalize3D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Finalize the RGL window. — finalize3D","text":"3D plot 3D plot","code":"# \\donttest{ ini3D() pts<-matrix(c(1,1,1,5,5,5), ncol = 3, byrow = TRUE) plotPoints3D(pts) finalize3D() 3D plot  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gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 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mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D() pts<-matrix(c(1,1,1,5,5,5), ncol = 3, byrow = TRUE) plotPoints3D(pts) finalize3D(argsAxes3d = list(edges = \"bbox\")) 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# }"},{"path":"http://relund.github.io/gMOIP/reference/gMOIP-package.html","id":null,"dir":"Reference","previous_headings":"","what":"gMOIP: Tools for 2D and 3D Plots of Single and Multi-Objective Linear/Integer Programming Models — gMOIP-package","title":"gMOIP: Tools for 2D and 3D Plots of Single and Multi-Objective Linear/Integer Programming Models — gMOIP-package","text":"Make 2D 3D plots linear programming (LP), integer linear programming (ILP), mixed integer linear programming (MILP) models three objectives. Plots solution criterion space possible. instance non-dominated (Pareto) set bi-objective LP/ILP/MILP programming models (see vignettes overview). package also contains function checking point inside convex hull.","code":""},{"path":[]},{"path":"http://relund.github.io/gMOIP/reference/gMOIP-package.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"gMOIP: Tools for 2D and 3D Plots of Single and Multi-Objective Linear/Integer Programming Models — gMOIP-package","text":"Maintainer: Lars Relund Nielsen lars@relund.dk (ORCID)","code":""},{"path":"http://relund.github.io/gMOIP/reference/gMOIPTheme.html","id":null,"dir":"Reference","previous_headings":"","what":"The ggplot theme for the package — gMOIPTheme","title":"The ggplot theme for the package — gMOIPTheme","text":"ggplot theme package","code":""},{"path":"http://relund.github.io/gMOIP/reference/gMOIPTheme.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"The ggplot theme for the package — gMOIPTheme","text":"","code":"gMOIPTheme(...)"},{"path":"http://relund.github.io/gMOIP/reference/gMOIPTheme.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"The ggplot theme for the package — gMOIPTheme","text":"... arguments parsed ggplot2::theme().","code":""},{"path":"http://relund.github.io/gMOIP/reference/gMOIPTheme.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"The ggplot theme for the package — gMOIPTheme","text":"theme object.","code":""},{"path":"http://relund.github.io/gMOIP/reference/gMOIPTheme.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"The ggplot theme for the package — gMOIPTheme","text":"","code":"pts <- matrix(c(1,1), ncol = 2, byrow = TRUE) plotHull2D(pts)  pts1 <- matrix(c(2,2, 3,3), ncol = 2, byrow = TRUE) pts2 <- matrix(c(1,1, 2,2, 0,1), ncol = 2, byrow = TRUE) ggplot2::ggplot() +   plotHull2D(pts2, drawPoints = TRUE, addText = \"coord\", drawPlot = FALSE) +   plotHull2D(pts1, drawPoints = TRUE, drawPlot = FALSE) +   gMOIPTheme() +   ggplot2::xlab(expression(x[1])) +   ggplot2::ylab(expression(x[2]))"},{"path":"http://relund.github.io/gMOIP/reference/genNDSet.html","id":null,"dir":"Reference","previous_headings":"","what":"Generate a sample of nondominated points. — genNDSet","title":"Generate a sample of nondominated points. — genNDSet","text":"Generate sample nondominated points.","code":""},{"path":"http://relund.github.io/gMOIP/reference/genNDSet.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Generate a sample of nondominated points. — genNDSet","text":"","code":"genNDSet(   p,   n,   range = c(1, 100),   random = FALSE,   sphere = TRUE,   planes = FALSE,   box = FALSE,   keepDom = FALSE,   crit = \"min\",   dubND = FALSE,   classify = FALSE,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/genNDSet.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Generate a sample of nondominated points. — genNDSet","text":"p Dimension points. n Number nondominated points generated. range range points dimension (vector matrix p rows). random Random sampling. sphere Generate points sphere. planes Generate points two planes. box Generate points boxes. keepDom Keep dominated points also. crit Criteria used (vector min/max). dubND duplicated non-dominated points considered non-dominated. classify Non-dominated points classified supported extreme (se), supported non-extreme (sne) unsupported (us) ... arguments passed genSample.","code":""},{"path":"http://relund.github.io/gMOIP/reference/genNDSet.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Generate a sample of nondominated points. — genNDSet","text":"data frame p+1 columns (last one indicate dominated ).","code":""},{"path":"http://relund.github.io/gMOIP/reference/genNDSet.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Generate a sample of nondominated points. — genNDSet","text":"3D plot 3D plot 3D plot 3D plot 3D plot","code":"# \\donttest{ ## Random range <- matrix(c(1,100, 50, 100, 10, 50), ncol = 2, byrow = TRUE) pts <- genNDSet(3, 5, range = range, random = TRUE, keepDom = TRUE) head(pts) #>   z1 z2 z3    nd #> 1 59 87 24 FALSE #> 2 82 69 38 FALSE #> 3 11 92 40 FALSE #> 4 55 94 41 FALSE #> 5 12 68 22  TRUE #> 6 13 67 29  TRUE Rfast::colMinsMaxs(as.matrix(pts[, 1:3])) #>     [,1] [,2] [,3] #> min    1   63   19 #> max   82   94   45 ini3D(FALSE, argsPlot3d = list(xlim = c(min(pts[,1])-2,max(pts[,1])+10),   ylim = c(min(pts[,2])-2,max(pts[,2])+10),   zlim = c(min(pts[,3])-2,max(pts[,3])+10))) plotPoints3D(pts[,1:3]) plotPoints3D(pts[pts$nd,1:3], argsPlot3d = list(col = \"red\", size = 10)) plotCones3D(pts[pts$nd,1:3], argsPolygon3d = list(alpha = 1)) finalize3D() 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}  ## Between planes range <- matrix(c(1,10000, 1,10000), ncol = 2, byrow = TRUE) pts <- genNDSet(2, 50, range = range, planes = TRUE, classify = TRUE) head(pts) #>     z1   z2   nd    se   sne   us cls #> 1 2911 5190 TRUE FALSE FALSE TRUE  us #> 2  794 7243 TRUE FALSE FALSE TRUE  us #> 3 1219 6913 TRUE FALSE FALSE TRUE  us #> 4 6049 2438 TRUE FALSE FALSE TRUE  us #> 5 7423  853 TRUE FALSE FALSE TRUE  us #> 6 3917 4157 TRUE FALSE FALSE TRUE  us Rfast::colMinsMaxs(as.matrix(pts[, 1:2])) #>     [,1] [,2] #> min   11   17 #> max 9485 9059 plot(pts[, 1:2])   range <- matrix(c(1,100, 50,100, 10, 50), ncol = 2, byrow = TRUE) center <- rowMeans(range) planeU <- c(rep(1, 3), -1.2*sum(rowMeans(range))) planeL <- c(rep(1, 3), -0.8*sum(rowMeans(range))) pts <- genNDSet(3, 50, range = range, planes = TRUE, keepDom = TRUE, classify = TRUE,    argsPlanes = list(center = center, planeU = planeU, planeL = planeL)) head(pts) #>   z1 z2 z3    nd    se   sne   us cls #> 1 53 73 20 FALSE FALSE FALSE TRUE   d #> 2 49 97 14 FALSE FALSE FALSE TRUE   d #> 3 71 72 27 FALSE FALSE FALSE TRUE   d #> 4 68 62 24 FALSE FALSE FALSE TRUE   d #> 5 76 58 27 FALSE FALSE FALSE TRUE   d #> 6 20 76 35 FALSE FALSE FALSE TRUE   d Rfast::colMinsMaxs(as.matrix(pts[, 1:3])) #>     [,1] [,2] [,3] #> min    1   50   10 #> max  100  100   50 ini3D(FALSE, argsPlot3d = list(xlim = c(min(pts[,1])-2,max(pts[,1])+10),   ylim = c(min(pts[,2])-2,max(pts[,2])+10),   zlim = c(min(pts[,3])-2,max(pts[,3])+10),   box = TRUE, axes = TRUE)) plotPoints3D(pts[,1:3]) plotPoints3D(pts[pts$nd,1:3], argsPlot3d = list(col = \"red\", size = 10)) rgl::planes3d(planeL[1], planeL[2], planeL[3], planeL[4], alpha = 0.5) rgl::planes3d(planeU[1], planeU[2], planeU[3], planeU[4], alpha = 0.5) 3D plot  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gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 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mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}finalize3D()   ## On a sphere ini3D() range <- c(1,100) cent <- rep(range[1] + (range[2]-range[1])/2, 3) pts <- genNDSet(3, 20, range = range, sphere = TRUE, keepDom = TRUE,        argsSphere = list(center = cent)) rgl::spheres3d(cent, radius=49.5, color = \"grey100\", alpha=0.1) plotPoints3D(pts) plotPoints3D(pts[pts$nd,], argsPlot3d = list(col = \"red\", size = 10)) rgl::planes3d(cent[1],cent[2],cent[3],-sum(cent^2), alpha = 0.5, col = \"red\") 3D plot  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\\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}finalize3D()  ini3D() cent <- c(100,100,100) r <- 75 planeC <- c(cent+r/3) planeC <- c(planeC, -sum(planeC^2)) pts <- genNDSet(3, 20, keepDom = TRUE,   argsSphere = list(center = cent, radius = r, below = FALSE, plane = planeC, factor = 6)) rgl::spheres3d(cent, radius=r, color = \"grey100\", alpha=0.1) plotPoints3D(pts) plotPoints3D(pts[pts$nd,], argsPlot3d = list(col = \"red\", size = 10)) rgl::planes3d(planeC[1],planeC[2],planeC[3],planeC[4], alpha = 0.5, col = \"red\") 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - 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float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    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float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - 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Currently following arguments supported: argsPlanes: list arguments generating points planes cube defined range: center: point planes (default rowMeans(range)). planeU: upper plane (default c(rep(1, p), -1.2*sum(center))). planeL: lower plane (default c(rep(1, p), -0.8*sum(center))). argsSphere: list arguments generating points sphere: radius: radius sphere. center: center sphere. plane: plane used. : Either true (generate points plane), false (generate points plane) NULL (generated whole sphere). factor: using plane. factor multiply n , generate enough points /plane. closeToPlane: TRUE return points close plane. argsBox: list arguments generating points inside boxes: intervals: Number intervals split length range . , range divided intervals (sub)intervals lowest/highest subrange used. cor: correlate indices. 'idxAlt' alternate intervals (high/low) dimension. instance p = 3 first dimension high interval range second low interval range third high interval range . idxRand choose low/high interval range dimension based prHigh. idxSplit select floor(p/2):ceiling(p/2) dimensions high interval range low interval range. prHigh: Probability choosing high interval range dimension.","code":""},{"path":"http://relund.github.io/gMOIP/reference/genSample.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Generate a sample of points in dimension $p$. — genSample","text":"matrix p columns.","code":""},{"path":"http://relund.github.io/gMOIP/reference/genSample.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Generate a sample of points in dimension $p$. — genSample","text":"Note ranges different length using sphere method, make sense. best option properly use center radius . Moreover, higher p may use larger radius half desired interval range.","code":""},{"path":"http://relund.github.io/gMOIP/reference/genSample.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Generate a sample of points in dimension $p$. — genSample","text":"3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot","code":"### Using random ## p = 2 range <- matrix(c(1,100, 50,100), ncol = 2, byrow = TRUE ) pts <- genSample(2, 1000, range = range, random = TRUE) head(pts) #>      z1 z2 #> [1,] 57 92 #> [2,] 29 54 #> [3,] 28 96 #> [4,] 96 72 #> [5,] 65 89 #> [6,] 76 59 Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] #> min    1   50 #> max  100  100 plot(pts)   # \\donttest{ ## p = 3 range <- matrix(c(1,100, 50,100, 10,50), ncol = 2, byrow = TRUE ) ini3D() pts <- genSample(3, 1000, range = range, random = TRUE) head(pts) #>       z1 z2 z3 #> [1,] 100 75 10 #> [2,]  35 87 21 #> [3,]  11 55 30 #> [4,]  62 69 28 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LUM7GFFDIDFQChVNDkpRLUVaG01TGVI9JCViF0w/JhtVFCI0GR9W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\\nmZiYPgAAgD8AAAABAQEBAAAAAAAAAQ==\"}]},\"context\":{\"shiny\":false,\"rmarkdown\":null},\"vertexShader\":\"#line 2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# }  ## other p p <- 10 range <- c(1,100) pts <- genSample(p, 1000, range = range, random = TRUE) head(pts) #>      z1 z2 z3 z4 z5 z6 z7 z8 z9 z10 #> [1,] 11 61 34 92 59 73 20 67  5   4 #> [2,]  3 99 38 63 34 99 38 46 93  64 #> [3,] 63 44 49 92 60 96 32 24 39  92 #> [4,] 31 12  2 13 19 83 19 73 33  72 #> [5,]  2 12 55 44 31 50 82 19 79  98 #> [6,] 32 94 89 62 18 98 95 67 94  60 Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] #> min    1    1    1    1    1    1    1    1    1     1 #> max  100  100  100  100  100  100  100  100  100   100   ### Using planes ## p = 2 range <- matrix(c(1,100, 50,100), ncol = 2, byrow = TRUE ) center <- rowMeans(range) planeU <- c(rep(1, 2), -1.5*sum(rowMeans(range))) planeL <- c(rep(1, 2), -0.7*sum(rowMeans(range))) pts <- genSample(2, 1000, range = range, planes = TRUE,    argsPlanes = list(center = center, planeU = planeU, planeL = planeL)) head(pts) #>      z1  z2 #> [1,] 80  88 #> [2,] 47  55 #> [3,] 52  96 #> [4,] 70  64 #> [5,] 17  78 #> [6,] 15 100 Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] #> min    1   50 #> max  100  100 plot(pts)   # \\donttest{ ## p = 3 range <- matrix(c(1,100, 50,100, 10, 50), ncol = 2, byrow = TRUE ) center <- rowMeans(range) planeU <- c(rep(1, 3), -1.2*sum(rowMeans(range))) planeL <- c(rep(1, 3), -0.6*sum(rowMeans(range))) pts <- genSample(3, 1000, range = range, planes = TRUE,    argsPlanes = list(center = center, planeU = planeU, planeL = planeL)) head(pts) #>      z1 z2 z3 #> [1,] 38 97 49 #> [2,]  2 91 23 #> [3,] 35 62 26 #> [4,]  2 56 49 #> [5,] 82 56 44 #> [6,] 50 81 22 Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] [,3] #> min    1   50   10 #> max  100  100   50 ini3D(argsPlot3d = list(box = TRUE, axes = TRUE)) plotPoints3D(pts) rgl::planes3d(planeL[1], planeL[2], planeL[3], planeL[4], alpha = 0.5) rgl::planes3d(planeU[1], planeU[2], planeU[3], planeU[4], alpha = 0.5) 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# }   ### Using sphere ## p = 2 range <- c(1,100) cent <- rep(range[1] + (range[2]-range[1])/2, 2) pts <- genSample(2, 1000, range = range) dim(pts) #> [1] 1000    2 Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] #> min    1    1 #> max   85   85 plot(pts, asp=1) abline(sum(cent^2)/cent[1], -cent[2]/cent[1])   cent <- c(100,100) r <- 75 planeC <- c(cent+r/3) planeC <- c(planeC, -sum(planeC^2)) pts <- genSample(2, 100,   argsSphere = list(center = cent, radius = r, below = FALSE, plane = planeC, factor = 6)) dim(pts) #> [1] 100   2 Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] #> min   79   83 #> max  175  175 plot(pts, asp=1) abline(-planeC[3]/planeC[1], -planeC[2]/planeC[1])   pts <- genSample(2, 100, argsSphere = list(center = cent, radius = r, below = NULL)) dim(pts) #> [1] 100   2 Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] #> min   25   25 #> max  175  175 plot(pts, asp=1)   # \\donttest{ ## p = 3 ini3D() range <- c(1,100) cent <- rep(range[1] + (range[2]-range[1])/2, 3) pts <- genSample(3, 1000, range = range) dim(pts) #> [1] 1000    3 Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] [,3] #> min    1    1    1 #> max   90   90   90 rgl::spheres3d(cent, radius=49.5, color = \"grey100\", alpha=0.1) plotPoints3D(pts) 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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}finalize3D()  ini3D() cent <- c(100,100,100) r <- 75 planeC <- c(cent+r/3) planeC <- c(planeC, -sum(planeC^2)) pts <- genSample(3, 100,   argsSphere = list(center = cent, radius = r, below = FALSE, plane = planeC, factor = 6)) rgl::spheres3d(cent, radius=r, color = \"grey100\", alpha=0.1) plotPoints3D(pts) rgl::planes3d(planeC[1],planeC[2],planeC[3],planeC[4], alpha = 0.5, col = \"red\") 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float 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(point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}finalize3D()  ini3D() pts <- genSample(3, 10000, argsSphere = list(center = cent, radius = r, below = NULL)) Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] [,3] #> min   25   25   25 #> max  175  175  175 rgl::spheres3d(cent, radius=r, color = \"grey100\", alpha=0.1) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 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mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        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if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPoints3D(pts) finalize3D() 3D plot  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Y1+CoYSLZySv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\\nAQEBAAAAAAAAAQ==\"}]},\"context\":{\"shiny\":false,\"rmarkdown\":null},\"vertexShader\":\"#line 2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# }  ## Other p p <- 10 cent <- rep(0,p) r <- 100 pts <- genSample(p, 100000, argsSphere = list(center = cent, radius = r, below = NULL)) head(pts) #>       z1  z2  z3 z4  z5  z6  z7  z8  z9 z10 #> [1,] -33  -4  67 51  21  -9 -33   5 -16   1 #> [2,]  -5 -46   7 37   9  24  69 -26 -18 -11 #> [3,]  11 -21  33 15 -19  -9 -14  71  48 -12 #> [4,] -56  -2 -43 15  57 -29 -12 -10 -17  10 #> [5,]   8 -57  19 46  45  -1 -23 -32   0 -25 #> [6,]  70  12   6 -6  19  11  -9  55  24  28 Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] #> min  -93  -93  -94  -92  -94  -92  -92  -93  -92   -93 #> max   92   93   95   94   98   93   96   95   93    94 apply(pts,1, function(x){sqrt(sum((x-cent)^2))}) # test should be approx. equal to radius #>      [1] 100.43904 100.48881 100.01500  99.68450  99.97000 100.31949  99.95499 #>      [8]  99.82485 100.21976 100.26964 100.38426 100.00500 100.25966 100.23472 #>     [15] 100.14490 100.32447 100.46392 100.17984 100.46392 100.22475  99.88493 #>     [22] 100.05498  99.65942  99.54898 100.08496  99.44848 100.45895 100.20978 #>     [29] 100.27961 100.18483 100.33942 100.13491  99.95499 100.25468  99.95499 #>     [36] 100.73232  99.53894 100.02000 100.17984  99.66945 100.14989 100.19980 #>     [43]  99.69955  99.90495 100.05998  99.84488 100.11493  99.95499 100.08996 #>     [50] 100.79683 100.06998  99.73966  99.78477 100.24969 100.15488 100.47885 #>     [57]  99.97000  99.45853 100.10494  99.83987 100.10494  99.93498  99.99000 #>     [64] 100.13491 100.25468  99.62931 100.29955  99.84989 100.44401 100.12492 #>     [71]  99.75971 100.22974 100.06498 100.41912  99.81984  99.61426 100.27462 #>     [78]  99.94999 100.70750  99.52387  99.68450 100.20978  99.65440 100.08996 #>     [85] 100.33444 100.20479 100.42410 100.04499 100.30952 100.04499 100.17984 #>     [92] 100.34939 100.13491  99.34787 100.40418  99.91496  99.77976 100.01500 #>     [99]  99.90996 100.03999  99.42334  99.88493 100.15488 100.06498  99.92497 #>    [106]  99.90996  99.98000 100.25966  99.52387 100.38426 100.14490 100.49876 #>    [113] 100.38924 100.21477 100.31949 100.14989  99.54898 100.08496 100.28460 #>    [120]  99.84989 100.42410 100.16986 100.05498  99.62429 100.15488 100.44899 #>    [127]  99.73465  99.57911 100.62803 100.10494  99.71961 100.10994 100.30454 #>    [134] 100.06498 100.27462  99.44848 100.19481 100.12992 100.10494 100.50871 #>    [141] 100.14490 100.05998 100.12492  99.77976 100.21477 100.06998  99.86992 #>    [148] 100.03499  99.78978 100.09995 100.01000 100.16486  99.98000  99.87993 #>    [155] 100.36932  99.91496  99.49874 100.39422 100.40418 100.39920 100.09995 #>    [162]  99.93998  99.93998  99.69453 100.17485 100.70253  99.71961 100.19980 #>    [169]  99.05554  99.78978  99.68450  99.44345 100.20479 100.26465  99.68952 #>    [176] 100.15488  99.36800  99.65440 100.33942 100.10494 100.25966 100.03499 #>    [183] 100.29457 100.30952 100.03000  99.87492 100.21976  99.93498 100.16986 #>    [190]  99.83486 100.17485  99.81984 100.20479  99.69453  99.85990 100.05498 #>    [197]  99.90996 100.07997 100.51368 100.13491 100.15987 100.21477 100.38924 #>    [204] 100.23971 100.18982 100.34441  99.69453 100.53855  99.88493  99.79479 #>    [211] 100.62306 100.05998 100.43904  99.78978 100.07497 100.13990  99.72462 #>    [218]  99.64939  99.72462  99.89995  99.58414  99.62931 100.00000 100.04999 #>    [225] 100.36932  99.85489 100.07497 100.21477 100.14490  99.76973  99.84989 #>    [232] 100.38426  99.72963 100.69757 100.18483  99.86992  99.66444  99.81483 #>    [239]  99.75971  99.91496  99.73465 100.09495  99.82986 100.05498  99.86491 #>    [246] 100.03000  99.96499 100.63797  99.80481  99.70958  99.96499  99.53894 #>    [253] 100.18982 100.15488 100.29457 100.24470  99.93498  99.99000  99.77475 #>    [260] 100.76706  99.44345 100.43406  99.97000  99.98000 100.29457  99.98000 #>    [267]  99.93498 100.33444 100.42410 100.01000  99.63433  99.89494 100.49378 #>    [274] 100.00500 100.01500  99.41328  99.77475  99.51884  99.59920  99.97000 #>    [281]  99.46356 100.69757 100.36434 100.15488 100.36434  99.54898  99.91496 #>    [288] 100.28460 100.04999  99.95999 100.17485  99.80982 100.24470 100.12992 #>    [295] 100.33942 100.07497  99.98500 100.27961 100.23971 100.10994 100.18483 #>    [302] 100.10494  99.49372 100.03000  99.75971  99.99500  99.91496  99.89995 #>    [309] 100.25468 100.08996  99.98500 100.00500  99.49372  99.77976  99.65440 #>    [316] 100.09995 100.28460 100.31451 100.18982  99.70958 100.09995 100.45397 #>    [323] 100.16486  99.71459 100.62803 100.03499 100.31949 100.04499  99.71459 #>    [330]  99.45351  99.70958 100.24969 100.08996 100.04999  99.78978  99.81984 #>    [337]  99.94498 100.32447  99.97000  99.72963  99.68952  99.72462 100.10994 #>    [344] 100.20978  99.68952 100.17984  99.95999  99.94999  99.68450  99.78477 #>    [351] 100.02000 100.05498  99.99000  99.62429 100.19481  99.73966  99.95999 #>    [358]  99.71459  99.77976 100.52363  99.73966  99.80982 100.03000 100.26465 #>    [365] 100.17984  99.30257 100.35935 100.64293 100.49876  99.59418 100.25966 #>    [372] 100.40418 100.06998 100.08496  99.16148  99.88493  99.72963 100.26465 #>    [379]  99.84989 100.06498 100.26465  99.51382 100.29955 100.40418  99.52387 #>    [386]  99.92497  99.84989 100.21477 100.06498 100.23971 100.13491 100.26465 #>    [393] 100.53855 100.41912  99.93498  99.53391  99.94498 100.60815  99.69453 #>    [400]  99.81984  99.79980  99.71961  99.48367 100.00500 100.07997 100.28460 #>    [407]  99.88493 100.22475 100.04499 100.19481  99.74467 100.14490  99.97000 #>    [414] 100.50871  99.79479  99.72963 100.08496  99.86992 100.17485 100.04499 #>    [421]  99.63433 100.13990 100.32946 100.35437 100.05998 100.03000  99.84488 #>    [428] 100.25966 100.16486 100.23971 100.60318  99.96499 100.09995  99.66444 #>    [435] 100.00000  99.93498  99.67447  99.72462  99.86491  99.90495 100.12492 #>    [442] 100.55844  99.52889  99.75470  99.64437 100.08996 100.14490  99.79479 #>    [449] 100.38426 100.01500  99.92998 100.21976  99.75971 100.49876  99.42334 #>    [456] 100.56838 100.17984 100.20978  99.76973 100.18982 100.32447  99.79980 #>    [463]  99.61426 100.12992 100.07997 100.19481  99.69453  99.92497 100.01500 #>    [470]  99.56907  99.99500  99.88493  99.79479 100.00000 100.23472  99.63935 #>    [477] 100.30454  99.77976 100.12492  99.92998  99.75971  99.75470 100.23472 #>    [484] 100.29955 100.04999 100.69757  99.68952  99.83486 100.06998 100.00500 #>    [491] 100.09495 100.47885  99.71459  99.92998  99.31767  99.96499 100.12492 #>    [498] 100.29457  99.92998 100.35935 100.14490  99.63433 100.06498 100.20479 #>    [505] 100.17984 100.25468  99.84488 100.19980 100.08496  99.84488  99.61928 #>    [512]  99.57911 100.21976 100.09995  99.56907  99.70958 100.12492  99.54396 #>    [519] 100.15987  99.97500 100.07997 100.00000  99.88994  99.78978 100.13990 #>    [526] 100.08996 100.27462 100.04499  99.75971  99.64437  99.91997 100.23472 #>    [533]  99.99500  99.67949 100.48383 100.23472  99.78477  99.64437 100.17485 #>    [540]  99.97000 100.15488  99.88493  99.84989 100.83650 100.33444  99.91496 #>    [547] 100.20479  99.52387 100.13990  99.95499 100.03499  99.44848  99.94999 #>    [554] 100.65784  99.82986 100.12992  99.74467  99.63433  99.85489 100.15488 #>    [561] 100.26964 100.13990 100.69260  99.85990 100.07997 100.44899 100.33942 #>    [568]  99.73966 100.02500 100.28460  99.93498  99.81984  99.65440  99.66945 #>    [575] 100.11493  99.91997 100.54352 100.33942 100.25966 100.24470  99.89494 #>    [582] 100.22974 100.01000 100.05498 100.34939 100.38426  99.81984 100.58330 #>    [589] 100.12492 100.40418 100.31451  99.95499  99.73465  99.60422  99.95499 #>    [596] 100.10494 100.01000  99.97500  99.44848  99.59418 100.25468  99.49874 #>    [603] 100.06498 100.15488  99.73465 100.31949  99.94498 100.00000 100.31949 #>    [610]  99.61426 100.22974  99.69955  99.72462 100.45397  99.86491  99.96499 #>    [617]  99.82485  99.93998 100.04999  99.72963 100.08496  99.87492  99.83987 #>    [624] 100.10494  99.97000 100.45397 100.09495 100.14989 100.26465  99.94498 #>    [631] 100.33942  99.44345 100.31451  99.97500  99.66945 100.20479 100.68764 #>    [638] 100.23971  99.92497  99.62429 100.17485  99.62429 100.36434  99.73966 #>    [645]  99.71961  99.74467  99.77976  99.73465  99.45351 100.26964 100.26465 #>    [652] 100.18483 100.00500  99.87993  99.93498 100.29955 100.28958  99.89995 #>    [659] 100.39422 100.01500  99.80982  99.87492 100.13990  99.80982  99.71459 #>    [666]  99.68450 100.27961 100.07997 100.03499 100.07497 100.25966  99.51884 #>    [673]  99.80481  99.79479 100.17984 100.18982  99.83486  99.80982 100.15987 #>    [680] 100.11993 100.30454 100.57336  99.60924 100.21976  99.76973 100.11993 #>    [687] 100.42410  99.90996 100.34939  99.86992  99.92497  99.63433  99.77475 #>    [694] 100.41414  99.94498  99.95999  99.51884 100.59324 100.16486 100.45895 #>    [701] 100.13491 100.37928 100.42410 100.29955 100.23971 100.03999  99.95499 #>    [708]  99.32271 100.03999 100.36932  99.65440  99.88493  99.58916  99.85990 #>    [715]  99.89494  99.65942 100.08496 100.21477  99.69955  99.70958  99.90996 #>    [722] 100.27462  99.83987  99.41328  99.91496  99.83486 100.21976 100.23472 #>    [729]  99.82485  99.88994  99.88493  99.76973 100.10494 100.33942  99.41831 #>    [736] 100.15987 100.04999  99.97000 100.25468  99.79980 100.47388  99.92497 #>    [743] 100.49876  99.92497 100.40916  99.60422 100.11493  99.86992  99.95999 #>    [750] 100.19980  99.51382  99.61928  99.93498 100.03000 100.18483  99.62429 #>    [757] 100.21976 100.14989  99.93998  99.87993  99.77475  99.87492 100.07997 #>    [764]  99.87993 100.86129  99.70958  99.56405 100.10494 100.05998 100.72239 #>    [771]  99.90495  99.37807 100.16486 100.21976 100.42410 100.01000  99.88493 #>    [778]  99.92497 100.06998  99.93498 100.38426 100.05998 100.34441  99.87993 #>    [785]  99.93498  99.67949  99.63433 100.13491  99.93498 100.31451  99.93998 #>    [792]  99.84989 100.07497 100.37928  99.48367  99.55903 100.23971 100.16986 #>    [799] 100.33942 100.13491 100.31949  99.69955 100.50871 100.19481 100.05498 #>    [806]  99.54396  99.62931 100.15987  99.87492 100.06498 100.05498  99.95499 #>    [813] 100.02000 100.10994 100.48383 100.08496  99.66444 100.36434  99.73966 #>    [820]  99.94999  99.89995 100.10994  99.68450  99.64939  99.94498 100.36434 #>    [827]  99.47864 100.10994  99.60924 100.19980  99.83987 100.06498  99.94999 #>    [834]  99.84989 100.01000 100.31949  99.85990  99.84989 100.13990  99.68952 #>    [841] 100.07997  99.56405 100.16486  99.76973  99.82986 100.08996 100.25468 #>    [848]  99.82986  99.94999  99.64939  99.93998  99.51382 100.18483  99.59418 #>    [855]  99.65942  99.96499 100.23971  99.68450  99.85990  99.94498  99.56907 #>    [862] 100.21477 100.40418 100.70750 100.31949 100.29955  99.57911  99.71459 #>    [869] 100.21477 100.08496 100.55347  99.74467 100.24969  99.94999  99.82485 #>    [876] 100.27462  99.73966  99.75971  99.96499  99.82986  99.96499  99.85990 #>    [883] 100.08496 100.43904  99.65440  99.85990  99.58916  99.69955  99.44345 #>    [890] 100.18982  99.67949  99.98500 100.37928  99.89494 100.48881 100.03999 #>    [897] 100.57833  99.77976  99.77475 100.11493 100.20479  99.56405  99.99000 #>    [904] 100.50373  99.82485 100.23971 100.06498 100.22475  99.65942  99.63433 #>    [911] 100.25966  99.96499  99.53391 100.05498  99.90495 100.00500  99.84488 #>    [918]  99.80982  99.92497  99.74969  99.98000 100.07497  99.86491 100.40916 #>    [925]  99.85489  99.53894 100.41912 100.45397 100.09495 100.00500  99.33277 #>    [932]  99.38310  99.18669 100.07997 100.29457  99.78978  99.99500 100.11493 #>    [939] 100.13491  99.93498 100.01000 100.10994 100.18982 100.35437  99.82986 #>    [946] 100.47388 100.10994  99.83987 100.08996  99.92497 100.04999 100.49876 #>    [953]  99.75470  99.52387  99.48367  99.91496 100.13491  99.97500 100.16486 #>    [960]  99.72462 100.00500  99.98000 100.04999  99.46859 100.18483 100.29457 #>    [967] 100.63300  99.36800 100.27961 100.46392 100.17485 100.16486 100.37430 #>    [974]  99.81984  99.87492  99.75971 100.07997 100.13491 100.22475  99.61928 #>    [981] 100.37430  99.66444  99.36800 100.29457  99.92497  99.29753  99.85489 #>    [988] 100.17984  99.50879 100.02000 100.12992 100.37928 100.58827 100.39920 #>    [995] 100.32946 100.02500 100.14989  99.74969 100.02500 100.15488  99.82485 #>   [1002]  99.82986 100.38426  99.90495  99.89494  99.71459  99.86491  99.99000 #>   [1009]  99.88994 100.35935 100.02500 100.12992  99.90996  99.93498  99.69453 #>   [1016]  99.72462 100.03499 100.05998  99.97000 100.30454 100.21477  99.76973 #>   [1023]  99.99500 100.12992  99.97000  99.72462 100.26964 100.02000 100.47885 #>   [1030]  99.81483 100.04999 100.03999  99.70456  99.87492  99.69955 100.17984 #>   [1037]  99.72963 100.17984 100.04499  99.92998 100.41414 100.54352  99.57409 #>   [1044]  99.46356 100.34441 100.06498 100.03999  99.65440 100.42908 100.65287 #>   [1051]  99.66444 100.09995 100.17984 100.15987  99.87492 100.31451  99.18669 #>   [1058] 100.21477  99.92998 100.26964  99.65942 100.20479 100.42908  99.72462 #>   [1065] 100.23971 100.24470 100.17485  99.69453 100.56341  99.74467  99.77475 #>   [1072]  99.70958  99.66444 100.36434 100.18483  99.73966 100.06998 100.36434 #>   [1079]  99.95499  99.96499 100.38924  99.60924 100.08996  99.64437  99.91496 #>   [1086]  99.58916 100.52860  99.57409  99.49372 100.28460  99.94498 100.25468 #>   [1093] 100.14490  99.94999 100.14490 100.30454 100.55844  99.74467 100.12492 #>   [1100] 100.05498  99.70958 100.10994 100.20479 100.17485 100.16986 100.13990 #>   [1107]  99.88994  99.83486  99.82986 100.12492  99.86992  99.71961 100.03000 #>   [1114] 100.28958  99.97000  99.53391  99.91496  99.54898 100.04499 100.15488 #>   [1121] 100.37928  99.39819  99.86992 100.35935  99.62931  99.66945 100.38426 #>   [1128] 100.14490 100.10494  99.71459  99.97000 100.00000 100.00000  99.96499 #>   [1135] 100.01000 100.25966  99.67447 100.23472 100.21976  99.95499 100.13990 #>   [1142] 100.06498  99.70958  99.91496  99.71961  99.50377 100.37430  99.87993 #>   [1149]  99.74969  99.93498 100.79683  99.79980  99.48869  99.68450  99.90495 #>   [1156] 100.36932 100.05498  99.82485  99.71961  99.91496  99.86491 100.59324 #>   [1163]  99.58916 100.14989  99.56907 100.39920 100.33942  99.76472  99.81984 #>   [1170]  99.85990  99.91496  99.49874 100.09995  99.74969  99.46356 100.42908 #>   [1177] 100.20978  99.73465 100.24470 100.35935  99.49874 100.07497  99.51884 #>   [1184]  99.76973  99.79479 100.28460  99.95999 100.57336  99.98500 100.22974 #>   [1191] 100.46392  99.74467 100.27961 100.09995  99.88493 100.23971 100.48383 #>   [1198] 100.34441  99.96499  99.78978 100.19481 100.40916 100.46890 100.19481 #>   [1205]  99.42837  99.49874 100.07497  99.45351  99.62931 100.28460 100.00500 #>   [1212] 100.16986  99.68450  99.74969 100.10994  99.74969 100.13491  99.70456 #>   [1219] 100.03999  99.90996 100.26465 100.04499 100.20479  99.68952 100.01000 #>   [1226] 100.18483  99.93998 100.42410 100.16486  99.97000 100.34939  99.78978 #>   [1233]  99.94498 100.17485  99.95999 100.11993 100.23472  99.89995 100.05998 #>   [1240]  99.77475 100.24470  99.85489  99.64939  99.67447  99.94498  99.83486 #>   [1247]  99.48367 100.35935  99.89494 100.03999 100.03499 100.13990 100.01500 #>   [1254] 100.10494  99.81483 100.06498  99.95499  99.87993 100.30952  99.72462 #>   [1261]  99.99500  99.85489 100.20978  99.44345 100.42410 100.02500  99.94498 #>   [1268]  99.49874 100.39920  99.81483  99.96499 100.11493 100.80179 100.13990 #>   [1275]  99.88493 100.31451  99.95499  99.83486 100.43904  99.91496  99.66444 #>   [1282] 100.46392  99.64939  99.59920 100.02000  99.85990 100.17485  99.88994 #>   [1289]  99.53894  99.37807  99.79980  99.73465 100.49378  99.89995  99.40825 #>   [1296]  99.93498 100.07497 100.07497 100.10994 100.40916  99.98000  99.35794 #>   [1303] 100.22974 100.04999 100.20479 100.31949 100.07497 100.08496 100.32447 #>   [1310]  99.59920 100.05998  99.91997 100.39920  99.59920 100.30454  99.77475 #>   [1317] 100.46890 100.07997  99.84488  99.74467  99.69453  99.91496  99.88994 #>   [1324] 100.21976 100.12992  99.41328 100.07497 100.00000  99.93498  99.81984 #>   [1331] 100.03499 100.23472 100.24470  99.88493  99.88493 100.41414 100.06498 #>   [1338]  99.57409  99.44345 100.25966 100.29457  99.85990 100.19980 100.02500 #>   [1345] 100.12492 100.28958 100.33444  99.87993  99.53894 100.13990 100.07997 #>   [1352] 100.29457 100.41912  99.85990 100.05498  99.61426 100.39422 100.60318 #>   [1359] 100.08996 100.22475  99.97000 100.38924 100.16986 100.14989 100.13491 #>   [1366]  99.43842 100.51865 100.13491  99.93998  99.95999  99.81984  99.63433 #>   [1373] 100.32946 100.54352 100.14490 100.42410  99.86992 100.14490 100.13990 #>   [1380] 100.02000 100.14989 100.40418  99.81984  99.88994 100.10994  99.88493 #>   [1387] 100.82162 100.00500 100.27462  99.97500  99.52387 100.36434  99.74467 #>   [1394] 100.16986  99.88493  99.85990 100.11993 100.66777 100.35437 100.02000 #>   [1401] 100.19481 100.31451  99.40825  99.40825 100.03000  99.88493 100.56341 #>   [1408] 100.41912 100.12992 100.18982  99.94999 100.09995 100.30952  99.50377 #>   [1415] 100.05498  99.97500 100.21976  99.86992 100.12992 100.18483 100.61809 #>   [1422]  99.81483  99.68952 100.38924  99.95999  99.76472 100.49876  99.73966 #>   [1429]  99.66945 100.17984 100.28958 100.19980  99.88994  99.87993  99.86491 #>   [1436]  99.96499  99.76973  99.96499  99.99000  99.07573  99.65942 100.11493 #>   [1443] 100.19980  99.55401  99.95499 100.21976 100.04999 100.35935 100.11993 #>   [1450] 100.10994 100.10994  99.64437  99.84488  99.93998  99.67949  99.75971 #>   [1457]  99.53894  99.87993  99.90495 100.29955 100.23472 100.02000  99.97000 #>   [1464] 100.01000  99.61426 100.36434  99.77976  99.95499 100.28958  99.68450 #>   [1471]  99.68450  99.58414  99.79479 100.00500 100.13491 100.08496 100.22974 #>   [1478]  99.91496 100.47885  99.91997  99.70958  99.98500  99.77976  99.71459 #>   [1485]  99.96499 100.12492 100.40916 100.15488  99.82986  99.65440 100.04999 #>   [1492] 100.52860 100.14490  99.51382  99.90996  99.89995 100.15488  99.81984 #>   [1499] 100.04499 100.19481 100.18483  99.99000 100.41912  99.98000  99.98500 #>   [1506] 100.22974  99.81984 100.33444  99.56405  99.88994 100.13491 100.14989 #>   [1513] 100.06998  99.84989 100.28958 100.42908  99.50879  99.91997  99.74969 #>   [1520] 100.08996  99.66444  99.85489 100.13990  99.67447  99.95999 100.29955 #>   [1527] 100.08996 100.20978 100.33444 100.51865 100.36434 100.49378  99.75971 #>   [1534] 100.04499  99.54898  99.43339  99.62429 100.51865  99.75470  99.88493 #>   [1541] 100.14989  99.19173  99.88493  99.61928 100.29457 100.05498 100.06998 #>   [1548]  99.67949 100.31451 100.20479 100.45397  99.69955 100.24969 100.29955 #>   [1555]  99.86992  99.98000 100.11993  99.92497 100.41912  99.72462  99.61426 #>   [1562] 100.16986  99.93998 100.08496  99.88994 100.24470  99.86491  99.93498 #>   [1569]  99.89494  99.95499 100.27462  99.89995 100.20479 100.00000  99.79479 #>   [1576] 100.09495 100.38426  99.56405 100.00000  99.78477 100.73232 100.51368 #>   [1583] 100.18483 100.28460 100.19980  99.87993 100.23971 100.51368 100.39920 #>   [1590]  99.48869  99.76472 100.03000 100.31949 100.22475  99.47864  99.64939 #>   [1597] 100.16486  99.42837 100.09995  99.45853 100.01500 100.43904 100.12992 #>   [1604]  99.98500 100.19481 100.25468  99.82986  99.79479  99.71961 100.13990 #>   [1611] 100.00500  99.90495 100.16486  99.83486  99.76973  99.88994  99.68450 #>   [1618] 100.13990 100.01000  99.59418  99.51382 100.50871 100.23472  99.88994 #>   [1625]  99.74969  99.59418 100.25966 100.38924  99.98500  99.29250 100.19980 #>   [1632] 100.11493  99.96499  99.62931  99.59418 100.03999 100.32447 100.11493 #>   [1639] 100.19481  99.42334 100.31451 100.07497  99.86992  99.43842 100.20479 #>   [1646] 100.08996 100.10494  99.75971  99.93998 100.32447  99.78978 100.13990 #>   [1653] 100.28958  99.68952 100.06998  99.66444 100.09495  99.74969  99.55401 #>   [1660] 100.34939 100.14490  99.75971 100.11993 100.24969 100.13491  99.86491 #>   [1667] 100.26964 100.29457 100.30952 100.57833 100.38924 100.15488  99.52387 #>   [1674]  99.78477 100.12492  99.98500 100.02000 100.09995 100.07997  99.55401 #>   [1681]  99.85489 100.42908  99.82485  99.97500 100.39422 100.27961  99.92497 #>   [1688] 100.25468 100.27462  99.88493  99.95499 100.17984 100.83650 100.14490 #>   [1695]  99.80982  99.46356 100.20479 100.13990  99.49372  99.55903 100.16486 #>   [1702] 100.03999  99.69453 100.12492 100.06998 100.25468 100.06998 100.22974 #>   [1709] 100.31949 100.01500  99.86491 100.41912  99.66945 100.20479 100.18982 #>   [1716] 100.52860 100.21976 100.11493  99.96499 100.26964  99.79479 100.09495 #>   [1723] 100.16486 100.73728  99.95499  99.58414  99.43339  99.79479  99.60924 #>   [1730]  99.89995  99.90495  99.76472  99.93498 100.16986  99.75971  99.54898 #>   [1737]  99.59920 100.42908 100.06498 100.56341  99.56907  99.84488 100.07997 #>   [1744] 100.08496  99.89995  99.97500  99.82485 100.35437  99.84488  99.61426 #>   [1751]  99.86992 100.33444 100.04499  99.88493 100.50871  99.97000  99.89494 #>   [1758]  99.70958  99.51382 100.21976 100.03499  99.92998 100.40916 100.25966 #>   [1765]  99.83486 100.26964 100.21976  99.95999 100.48881  99.81984 100.03999 #>   [1772]  99.60924  99.90996  99.89494 100.29457  99.83486 100.38426 100.52860 #>   [1779] 100.01000  99.44848  99.41328  99.73966 100.11493 100.38426  99.39819 #>   [1786]  99.67447 100.29955 100.36434  99.52889  99.57911  99.83486  99.90996 #>   [1793]  99.99500 100.50373  99.91496 100.50373 100.24470  99.92497 100.26964 #>   [1800] 100.07497  99.84488 100.01000 100.33444 100.02500 100.51368 100.26465 #>   [1807]  99.92998 100.03999  99.87993 100.21477  99.60924 100.13491 100.68764 #>   [1814] 100.47388 100.26964 100.10994 100.09995 100.27961 100.23472 100.21477 #>   [1821] 100.23472  99.67949  99.92497  99.81483  99.63935 100.39422  99.57911 #>   [1828] 100.35437 100.36932 100.37928 100.25468 100.01500 100.19481 100.57833 #>   [1835]  99.64939 100.06998  99.94498  99.62429  99.83987 100.00000  99.53894 #>   [1842] 100.46392 100.29955 100.40916 100.23971 100.07997  99.70456  99.58414 #>   [1849] 100.03499 100.26964  99.64939 100.26465  99.74467 100.34441  99.90495 #>   [1856] 100.03999 100.14989  99.96499  99.83486  99.84989 100.00000  99.70456 #>   [1863]  99.83486 100.04999  99.78978 100.07497 100.19481  99.65440  99.86491 #>   [1870] 100.05998  99.72963  99.79479  99.92998  99.63935 100.37430 100.04499 #>   [1877] 100.08496  99.57911  99.87492  99.79980 100.52363 100.05998 100.08996 #>   [1884]  99.33277 100.33942 100.53358 100.01500  99.99000  99.54898  99.61426 #>   [1891]  99.94498 100.24470 100.01500  99.59920  99.55401 100.36434  99.61928 #>   [1898] 100.32946  99.52889 100.24969 100.19481 100.03000  99.76472  99.60924 #>   [1905]  99.82986 100.34441  99.96499 100.09495  99.90495  99.84989  99.89494 #>   [1912]  99.84989 100.11493 100.06498  99.44848  99.92998 100.27462  99.87993 #>   [1919] 100.42410  99.66444  99.79980 100.13491 100.23971 100.40916 100.11993 #>   [1926]  99.80982  99.64437 100.10494  99.64939  99.56405 100.12992 100.14989 #>   [1933]  99.62429  99.50377  99.50879  99.79479 100.39920 100.53358  99.68952 #>   [1940] 100.05498 100.02000  99.93998 100.44401 100.27961 100.33942  99.53894 #>   [1947]  99.52387 100.17984 100.12492  99.78978 100.06998  99.70958  99.76973 #>   [1954]  99.96499 100.40916  99.82485  99.85489 100.03999  99.99500 100.07997 #>   [1961]  99.93998  99.71961 100.51865  99.95999 100.18483 100.10494 100.22974 #>   [1968] 100.24969 100.31949 100.34441  99.45351  99.46859  99.91496  99.61928 #>   [1975] 100.37430 100.22475  99.98000 100.26964  99.53391 100.13491  99.62931 #>   [1982]  99.71961  99.61426  99.68450  99.80481  99.57409  99.83987 100.16986 #>   [1989]  99.81984  99.86491 100.43904 100.26465  99.82986 100.28958  99.55903 #>   [1996] 100.40418  99.80481 100.16986 100.37928  99.99500  99.45853  99.90495 #>   [2003]  99.74969 100.15987 100.30454  99.69955 100.06498 100.40418  99.66444 #>   [2010]  99.55903 100.28460 100.03000 100.12992 100.09495  99.90996  99.89494 #>   [2017]  99.69955 100.13491  99.98000 100.18483 100.04499 100.17485  99.90495 #>   [2024] 100.15987 100.40418 100.19980 100.20479 100.18982 100.14490 100.17485 #>   [2031] 100.01000  99.72462 100.03499 100.17984 100.02000  99.76472 100.18982 #>   [2038] 100.49876 100.26964 100.00000 100.32946 100.07997 100.31451  99.79479 #>   [2045]  99.71459 100.07497 100.44899  99.68952  99.82986  99.98000  99.91496 #>   [2052] 100.17984  99.57409  99.94999  99.98500 100.32447 100.04999  99.79479 #>   [2059]  99.76973  99.99000  99.80982 100.41912 100.40418 100.33444  99.55401 #>   [2066]  99.82485  99.26228 100.13990 100.05498 100.41912 100.16986 100.49876 #>   [2073]  99.19173 100.47388  99.85990 100.62306 100.22974  99.94999  99.43339 #>   [2080]  99.58414 100.01500  99.78477 100.30952 100.34441  99.99000 100.03000 #>   [2087] 100.10494 100.26964  99.89494 100.54850  99.60422 100.28460 100.09495 #>   [2094] 100.25468 100.08996  99.82986 100.07997 100.38924 100.16986 100.15987 #>   [2101] 100.47885  99.76973 100.21976 100.21976  99.67949  99.84989  99.95999 #>   [2108] 100.31949 100.26964  99.84989  99.85489  99.96499  99.54396  99.48869 #>   [2115]  99.88994  99.60422 100.29457  99.73465 100.17984 100.29457  99.93498 #>   [2122] 100.21477  99.99500  99.81984  99.74969 100.03499 100.54850  99.89995 #>   [2129] 100.47885  99.65942  99.80481  99.28746  99.87993  99.72462  99.97000 #>   [2136]  99.94498 100.18982 100.36434 100.65287 100.16986 100.54352 100.60318 #>   [2143]  99.86992  99.84989  99.97000  99.60924  99.86491 100.43904 100.20978 #>   [2150]  99.82986 100.45895 100.22974  99.83987 100.43406  99.85990 100.08496 #>   [2157] 100.00500  99.25724  99.81984 100.05498 100.19980 100.34441  99.48367 #>   [2164] 100.56838  99.73966 100.30952 100.48383 100.17485 100.00000  99.40825 #>   [2171]  99.71459 100.66280 100.47388  99.88493  99.98500  99.88493 100.53855 #>   [2178] 100.00500  99.58414 100.19481 100.28460 100.26465 100.54352  99.82986 #>   [2185] 100.17485  99.66945 100.52363 100.36932 100.01000 100.00000 100.41414 #>   [2192] 100.03999 100.16486  99.85990 100.28958 100.42908 100.46392  99.77976 #>   [2199]  99.69955  99.46859  99.83987  99.62931 100.24470 100.39422  99.67949 #>   [2206] 100.04499  99.69955  99.71961 100.14989 100.13990 100.12992 100.35935 #>   [2213]  99.44345  99.91997 100.31949  99.52387 100.20978  99.97000 100.09995 #>   [2220] 100.27462  99.79980  99.59920 100.34939 100.16486  99.79980  99.91997 #>   [2227] 100.59324 100.09495  99.95499  99.44345 100.03000  99.95999 100.50373 #>   [2234]  99.90495 100.08996 100.13990 100.11493  99.86992 100.05998 100.56838 #>   [2241] 100.31949 100.40418 100.34441 100.27462 100.28460  99.86491  99.93998 #>   [2248] 100.26465  99.63433  99.92497  99.92998 100.31451 100.17984 100.21477 #>   [2255]  99.74969 100.24470  99.98500 100.00000 100.13990  99.90495  99.91997 #>   [2262]  99.93498  99.98000 100.04999  99.74467  99.84989 100.33444  99.92998 #>   [2269] 100.15488 100.47388  99.62931 100.18483 100.03999  99.51884  99.49372 #>   [2276]  99.63433 100.01500  99.61426 100.11993  99.56405 100.03999  99.50879 #>   [2283]  99.82986  99.78477 100.17485 100.32447  99.67949 100.06498 100.06498 #>   [2290]  99.65440  99.82485 100.11493 100.44401 100.18483  99.92497 100.09495 #>   [2297] 100.05998 100.25966 100.08996 100.10494  99.67949  99.51884 100.03000 #>   [2304]  99.64939 100.17984 100.09495  99.78978  99.79980  99.18165 100.21477 #>   [2311] 100.32946 100.25966  99.98500 100.20978 100.03499  99.93498  99.76973 #>   [2318] 100.05498 100.39920  99.90495 100.02000  99.53894  99.92497 100.57336 #>   [2325]  99.88493  99.98500  99.71961  99.78978 100.11493 100.34441 100.09995 #>   [2332]  99.31767  99.94498 100.01000 100.14490  99.84488  99.70958  99.91997 #>   [2339]  99.72462 100.22974 100.26465  99.68450 100.13491  99.54396  99.57911 #>   [2346]  99.80481  99.49372  99.58916 100.35935 100.08996 100.27961 100.12492 #>   [2353]  99.85990  99.80481 100.13990 100.22475  99.55401  99.93998  99.39819 #>   [2360]  99.77475 100.34441  99.90495  99.95999 100.25468  99.68450 100.13491 #>   [2367] 100.02000 100.20479 100.03000 100.03999  99.37303  99.99000 100.11993 #>   [2374]  99.85489 100.27961 100.38924 100.12992  99.76472  99.83987 100.16986 #>   [2381]  99.62429 100.04499 100.28958 100.32447  99.86992 100.17485 100.23971 #>   [2388]  99.91496 100.11993 100.73232  99.64437  99.92998  99.85990 100.32946 #>   [2395] 100.18982  99.93998  99.61426 100.17984 100.04499 100.25966 100.03000 #>   [2402]  99.96499  99.89995 100.07997  99.92497  99.79980  99.87492 100.06998 #>   [2409] 100.12992 100.22475  99.99500 100.24969  99.57911 100.05998 100.41912 #>   [2416]  99.82986 100.30952  99.92497  99.73465 100.28460  99.97500  99.67447 #>   [2423]  99.91997  99.76973 100.10994 100.22974  99.97500  99.87993  99.52889 #>   [2430] 100.33444  99.98000  99.69453  99.74467 100.10994  99.91496 100.51865 #>   [2437] 100.04999 100.27462  99.91997 100.28958 100.17984  99.81984  99.83486 #>   [2444]  99.65942  99.97500 100.03999 100.13491 100.67770  99.81984  99.82485 #>   [2451] 100.03999  99.61928 100.06498 100.22475  99.55401  99.80481 100.13990 #>   [2458]  99.78477 100.13491 100.03499 100.08496  99.84989 100.13990  99.69955 #>   [2465] 100.06998 100.55347  99.94999  99.89494 100.03000  99.75971 100.10994 #>   [2472]  99.88994  99.92998  99.58916 100.66280 100.14490 100.44899 100.14989 #>   [2479]  99.98500  99.79980 100.45895 100.02500 100.17984 100.30952 100.25468 #>   [2486]  99.68952  99.99500  99.54396 100.35935 100.45895 100.39920  99.82485 #>   [2493]  99.59418  99.97000 100.36434  99.99500 100.14989  99.88493 100.17485 #>   [2500]  99.72963  99.94999  99.98500 100.10994  99.88493  99.44345  99.61426 #>   [2507]  99.93998 100.29457  99.55401 100.30952  99.64437  99.89494  99.70958 #>   [2514] 100.12492  99.88493  99.63433 100.28958 100.11993 100.38426 100.11493 #>   [2521] 100.04999 100.08496 100.02500  99.95499  99.67949  99.76472 100.57833 #>   [2528] 100.13491  99.59418 100.51368 100.60815  99.98000  99.47864 100.11993 #>   [2535]  99.74467  99.89995  99.98000 100.17984  99.74969  99.65942  99.89995 #>   [2542]  99.67949  99.88994 100.19481  99.90495 100.55844  99.79980 100.11993 #>   [2549] 100.11493  99.98500  99.56907 100.23971  99.65942 100.02000  99.85990 #>   [2556] 100.58330 100.08496 100.06498 100.01000 100.24470  99.59920  99.84488 #>   [2563]  99.67447  99.90495  99.67447 100.52363 100.73728 100.40418  99.84989 #>   [2570]  99.75470 100.23971  99.89995 100.00500 100.36932  99.80982 100.32447 #>   [2577]  99.99500 100.09495  99.56907 100.13491 100.03000  99.65942  99.91997 #>   [2584] 100.65784 100.00000  99.87492 100.36434  99.67949  99.96499  99.56907 #>   [2591] 100.13990 100.29955 100.09995  99.99000  99.71961 100.08496 100.10994 #>   [2598] 100.33444  99.52889  99.72963 100.24470 100.65287 100.08496 100.13990 #>   [2605]  99.62429 100.23971 100.23472 100.00500 100.31949  99.68450  99.59920 #>   [2612] 100.52363 100.03999 100.05498 100.27961  99.99000  99.87993 100.45397 #>   [2619]  99.82485  99.81984  99.68952  99.88994  99.77976 100.02000 100.46392 #>   [2626] 100.51865  99.72462 100.16986 100.26465  99.97000 100.47388 100.19980 #>   [2633]  99.65942  99.98500 100.43904 100.19481 100.03999  99.92497 100.15987 #>   [2640] 100.04999  99.62429 100.22475 100.11493  99.97500  99.74969 100.02000 #>   [2647]  99.87492  99.95999  99.94498  99.87993 100.09495  99.91997 100.52363 #>   [2654] 100.07997 100.05998 100.13491  99.82986 100.28460  99.88493  99.68952 #>   [2661]  99.82986 100.02500 100.47388 100.00500 100.03499 100.51368  99.87993 #>   [2668] 100.03499 100.02500  99.86491 100.02000  99.90996 100.52860  99.60422 #>   [2675] 100.37430 100.19980 100.20978 100.38924  99.85990  99.88994  99.67447 #>   [2682]  99.97500 100.29457  99.60422 100.25966  99.92998  99.83987 100.63300 #>   [2689]  99.79980  99.89494  99.44848 100.10994 100.00000 100.25966 100.41414 #>   [2696] 100.00500  99.82986 100.27462  99.66444 100.68764 100.03000 100.18483 #>   [2703] 100.05998  99.33781  99.68952  99.97500  99.58414 100.64790 100.19481 #>   [2710] 100.04499 100.11993 100.03000  99.88994  99.85990  99.92497 100.02000 #>   [2717] 100.29955 100.50373 100.65784  99.76973  99.20181 100.42908 100.25966 #>   [2724]  99.57409 100.06498 100.35437  99.99000 100.14490 100.23472 100.24969 #>   [2731]  99.41328 100.85633  99.57409 100.06498  99.77475 100.27961  99.60924 #>   [2738]  99.82485  99.79980 100.21976  99.68952  99.93498  99.88994 100.09495 #>   [2745]  99.72462  99.60422 100.13990 100.04499  99.99500 100.24969  99.74969 #>   [2752]  99.99000 100.21976 100.05998 100.50373 100.03999  99.70456 100.40418 #>   [2759]  99.60422  99.83987 100.22475  99.73966 100.05498 100.18982 100.06498 #>   [2766]  99.97000 100.32447 100.25468 100.43406 100.38426 100.02000  99.56907 #>   [2773]  99.92497 100.34441  99.27235 100.22475 100.21976 100.29955  99.86491 #>   [2780] 100.41414 100.01000  99.45853 100.18982 100.06498 100.21976 100.27961 #>   [2787] 100.51368 100.70253 100.15987  99.98500 100.37928  99.85489  99.59418 #>   [2794] 100.29457  99.67949 100.00500  99.86992  99.59418 100.31451 100.10494 #>   [2801] 100.21477  99.76973  99.63433  99.66945  99.92998 100.03000 100.01000 #>   [2808] 100.59821 100.50871 100.00000 100.18483  99.38310 100.57336  99.57911 #>   [2815]  99.97000  99.67447 100.27961 100.05498  99.91496 100.30952 100.31451 #>   [2822]  99.34284 100.66777 100.12492  99.74969 100.17984 100.02500  99.78978 #>   [2829] 100.31949 100.09995  99.84488 100.04499  99.53391  99.85990  99.95499 #>   [2836]  99.64939  99.50377  99.61928  99.78978 100.15987  99.85990  99.80982 #>   [2843]  99.94498  99.73966  99.94498 100.13491  99.95499 100.35935 100.26964 #>   [2850] 100.20479 100.11993 100.13491  99.64437  99.80982 100.61312 100.06998 #>   [2857]  99.70456  99.97000  99.79980 100.50373 100.51865  99.74467  99.83987 #>   [2864] 100.39422 100.27462  99.65942  99.79479  99.62429  99.92998  99.69453 #>   [2871]  99.51382 100.21477 100.11993  99.95999 100.20479  99.82485  99.72963 #>   [2878]  99.59418 100.07997  99.73465 100.42908  99.97000 100.21477 100.19481 #>   [2885]  99.88493 100.09995 100.44899  99.61426 100.38924 100.23971  99.93998 #>   [2892] 100.10994 100.00000  99.73465 100.19980 100.60815  99.59418  99.84488 #>   [2899]  99.97500  99.94498  99.79980 100.26465 100.02500  99.81984  99.67447 #>   [2906]  99.72963 100.52860  99.71459 100.49378  99.46859 100.09495 100.35437 #>   [2913] 100.12492 100.51368  99.79980 100.27462  99.69955 100.42908 100.00000 #>   [2920] 100.24969 100.31949 100.06998 100.00500  99.93498  99.86491 100.09495 #>   [2927]  99.50879  99.37807 100.07497 100.02000  99.86992 100.61809 100.05498 #>   [2934]  99.84989 100.52860  99.90495 100.34939  99.52387  99.58414 100.04499 #>   [2941] 100.25966  99.72462 100.32946 100.18483 100.17485 100.29457  99.98500 #>   [2948]  99.70958 100.00000 100.20978  99.80481 100.55844 100.46392 100.31451 #>   [2955]  99.63433 100.36932 100.31949  99.92998  99.76973  99.70958  99.81984 #>   [2962] 100.02500  99.54898 100.09495  99.70958 100.01500  99.80982 100.30952 #>   [2969] 100.21976  99.68450  99.82485  99.94999 100.17485 100.44899  99.90996 #>   [2976]  99.56405  99.50879  99.92998  99.98500  99.85990 100.12992 100.03999 #>   [2983]  99.92497 100.22974 100.28460 100.16486 100.52860 100.77698 100.14989 #>   [2990]  99.76973  99.95499  99.65942 100.00500 100.26465  99.57911  99.77976 #>   [2997]  99.90996 100.30454 100.31451  99.72462  99.60924 100.20978 100.17984 #>   [3004] 100.25468  99.49874  99.62429 100.11493 100.52363  99.60422  99.67447 #>   [3011]  99.68450  99.88994 100.38924 100.12492 100.16486  99.97500  99.90495 #>   [3018] 100.38426  99.74467  99.89494 100.34939 100.24470 100.03999 100.03499 #>   [3025]  99.62429  99.81984 100.09995 100.04999 100.14989  99.61928 100.08496 #>   [3032] 100.06998 100.36434 100.41912 100.21477  99.94999  99.93998 100.41414 #>   [3039]  99.61928 100.07497  99.76472  99.45853  99.75971  99.74969  99.66945 #>   [3046]  99.41328  99.61928 100.08996 100.10994 100.06498  99.90495 100.04499 #>   [3053] 100.22475 100.38426 100.01000 100.29457  99.92998  99.78978 100.38426 #>   [3060] 100.02500  99.88994  99.98500  99.83486 100.46890  99.82485  99.69453 #>   [3067]  99.66945 100.06998  99.72462 100.08996 100.07997  99.92497 100.52363 #>   [3074]  99.86992 100.23971 100.41414  99.81984 100.20978  99.89995  99.44345 #>   [3081]  99.90996  99.86491  99.93998 100.49378 100.14490  99.91997  99.69453 #>   [3088] 100.00500 100.28958 100.00500 100.36932 100.09495  99.95499 100.22475 #>   [3095] 100.03999 100.55844 100.17984 100.25468  99.84488 100.21477 100.46392 #>   [3102] 100.09495  99.91997  99.85990 100.14490 100.63797 100.66777  99.84989 #>   [3109]  99.80481  99.86491 100.29457 100.01000  99.82485  99.94498 100.14989 #>   [3116]  99.71459  99.46859 100.21477 100.34939  99.62931  99.83486 100.14989 #>   [3123]  99.88994 100.03000  99.54898  99.77976  99.90996  99.60422 100.23971 #>   [3130]  99.82485 100.52860 100.61809  99.86992  99.88994 100.16986 100.24470 #>   [3137]  99.79980 100.33942  99.72462  99.75971  99.95499 100.20978  99.85990 #>   [3144] 100.25468 100.19481 100.12492  99.99500 100.55347  99.98000  99.71459 #>   [3151]  99.92497 100.38924 100.39920 100.05998 100.57336  99.68450  99.82986 #>   [3158]  99.63433  99.60422 100.15987  99.96499  99.94498 100.27961 100.58827 #>   [3165] 100.18483 100.03000 100.09495 100.35935  99.95999  99.70958  99.95999 #>   [3172] 100.12992 100.16986  99.91496  99.86491 100.04499  99.86491  99.95999 #>   [3179]  99.97000  99.64939  99.74969 100.05498  99.45853 100.33444  99.68450 #>   [3186]  99.82986 100.60815  99.57911  99.82986 100.23971  99.85489 100.01500 #>   [3193]  99.41831 100.03999  99.90996  99.34284  99.97000  99.87993  99.79980 #>   [3200] 100.04499  99.98500 100.19980 100.13990 100.10494  99.98500  99.72462 #>   [3207]  99.95499 100.07997 100.08996  99.75470 100.41414 100.02000 100.43406 #>   [3214] 100.21477  99.59418  99.75470  99.67949  99.79980 100.12492  99.96499 #>   [3221]  99.85489  99.93998  99.97000 100.26964  99.62429 100.23472 100.26465 #>   [3228]  99.71961 100.23971 100.03000 100.43406  99.91997 100.07997 100.22475 #>   [3235] 100.00500 100.58330  99.91496  99.66444 100.38426 100.33444 100.02500 #>   [3242] 100.19980  99.90996 100.36932 100.09495 100.44401 100.41912  99.93998 #>   [3249]  99.98500  99.92497  99.69955 100.12492  99.57409  99.98500 100.21477 #>   [3256]  99.95499  99.92497 100.11993  99.61928 100.00000 100.05498 100.03000 #>   [3263]  99.70958 100.42908  99.61928  99.76472 100.08996  99.42334 100.14490 #>   [3270] 100.17984  99.82485  99.79479  99.90495 100.42908 100.27961  99.85489 #>   [3277]  99.52387 100.04499 100.11493 100.41912  99.81483 100.10494  99.81483 #>   [3284] 100.00500  99.94498 100.02000 100.10994 100.12992 100.09995 100.16986 #>   [3291]  99.19677 100.02000 100.18483 100.06998  99.81984  99.86491 100.35437 #>   [3298]  99.74467 100.09995 100.27462  99.85489  99.77475  99.91496 100.19980 #>   [3305]  99.83486  99.91997  99.93498  99.84989 100.00000  99.29250  99.68450 #>   [3312]  99.62429  99.79479  99.84989  99.89494  99.69453 100.34441 100.00000 #>   [3319] 100.26964 100.05998 100.37430  99.93498  99.70958  99.62931 100.29457 #>   [3326] 100.42410 100.26964 100.17984  99.76973 100.10994  99.88994 100.34939 #>   [3333]  99.93498  99.69955  99.55903  99.72462  99.53894  99.71459  99.74969 #>   [3340]  99.41328  99.79980  99.88994  99.88994 100.19980 100.56838 100.15987 #>   [3347]  99.79980  99.86491  99.92998 100.28460  99.69955 100.01500 100.04999 #>   [3354]  99.69453  99.60924 100.06998  99.94999 100.47388  99.98500 100.38924 #>   [3361] 100.46890  99.86491 100.03499  99.53391 100.03499  99.56405  99.97000 #>   [3368] 100.03999  99.87492  99.94498 100.29955 100.23971 100.37928 100.17485 #>   [3375] 100.19980 100.18483 100.43904  99.58916 100.07997  99.66444  99.62429 #>   [3382] 100.00500 100.22974 100.16486  99.64939 100.30454 100.13491 100.32946 #>   [3389] 100.10494 100.05998  99.93498 100.18982  99.86491 100.43406 100.35935 #>   [3396]  99.50377  99.61928 100.14490 100.30454 100.33942  99.83987  99.61426 #>   [3403]  99.80982  99.92497 100.27961  99.79980  99.95999 100.41912  99.96499 #>   [3410]  99.69955  99.65942 100.14989  99.50377 100.12492  99.83987 100.55844 #>   [3417]  99.92998 100.04999  99.73465 100.31949 100.17984 100.16986  99.78978 #>   [3424]  99.97000 100.39422 100.46392  99.83486  99.49372  99.79980 100.16986 #>   [3431]  99.54396  99.74969 100.38426  99.73465  99.71459 100.41912  99.71459 #>   [3438]  99.65440 100.14989  99.71459  99.81984 100.41912 100.10994 100.15987 #>   [3445]  99.91496  99.82986  99.99500 100.28958  99.81483  99.96499 100.10494 #>   [3452]  99.83987 100.23472 100.35437 100.03499  99.66444  99.94999  99.60422 #>   [3459] 100.01500 100.47885  99.93998 100.10994 100.11493 100.18483  99.90996 #>   [3466]  99.53894  99.72462 100.22974 100.08496  99.64939  99.56405 100.40418 #>   [3473]  99.94999 100.44899  99.66444  99.54396 100.40418 100.14490 100.57833 #>   [3480] 100.19481 100.18483  99.75971 100.07497 100.08996  99.91997 100.05498 #>   [3487] 100.10994 100.14490  99.66444  99.96499 100.16486 100.13990  99.89995 #>   [3494] 100.06998  99.57911 100.21477 100.35935 100.14989 100.32447 100.24470 #>   [3501] 100.29457 100.28460 100.39920 100.34441  99.90996 100.38426 100.12492 #>   [3508]  99.98500  99.80481  99.54898 100.20479 100.01500  99.56405  99.95499 #>   [3515] 100.24470  99.96499  99.94999 100.62306  99.70958  99.50879  99.94498 #>   [3522]  99.92998 100.29457 100.02000  99.85489 100.06498  99.77976 100.40916 #>   [3529] 100.40418  99.55903  99.74969 100.51368 100.08496  99.90996 100.35437 #>   [3536] 100.02000 100.38426 100.05998  99.66945 100.40418  99.68952 100.47388 #>   [3543] 100.12492  99.64939 100.10494 100.38924 100.29955  99.31264  99.83987 #>   [3550]  99.76472  99.62931 100.41912  99.89494  99.61426  99.72963 100.13990 #>   [3557] 100.11493  99.95499  99.62931 100.40916  99.88493 100.56341  99.80481 #>   [3564] 100.52363  99.83486 100.24470 100.04999  99.75470  99.51382 100.20978 #>   [3571]  99.55903 100.10994 100.13990  99.51884  99.63433  99.89494  99.83987 #>   [3578] 100.08496  99.97000 100.03499  99.67949  99.98000 100.41912  99.93998 #>   [3585] 100.20978  99.91997 100.27961  99.89494  99.79479 100.77202  99.45853 #>   [3592]  99.95999 100.01000  99.51382 100.32946 100.03999 100.39422  99.50377 #>   [3599] 100.30454  99.27739  99.84989 100.23971 100.15987  99.97000 100.02000 #>   [3606]  99.51884  99.77475  99.96499 100.53855  99.60924 100.16986  99.75470 #>   [3613] 100.31451 100.24470 100.12492 100.33444  99.82986 100.30454  99.61928 #>   [3620]  99.81483  99.53894 100.28460  99.97000 100.08496 100.09495  99.97500 #>   [3627]  99.96499 100.02000 100.17485  99.79479  99.47864  99.79980  99.65942 #>   [3634]  99.59418  99.97500 100.63300  99.91496 100.29955  99.93998 100.11493 #>   [3641] 100.07997 100.03499  99.78978  99.90495  99.34787 100.04499  99.87492 #>   [3648] 100.10494 100.01500 100.16486  99.82485 100.04499 100.29955  99.76973 #>   [3655]  99.92497  99.85489  99.44345 100.29955 100.46392 100.81667 100.05998 #>   [3662]  99.56907 100.27462 100.26465  99.82485 100.02000 100.23472  99.93498 #>   [3669] 100.29955 100.13491 100.13491  99.55401 100.16986 100.77698 100.29955 #>   [3676]  99.39819 100.07997  99.85990 100.35437  99.97500  99.70456  99.52889 #>   [3683]  99.76472 100.07997 100.13990 100.22974  99.63935 100.02000  99.97000 #>   [3690]  99.65942 100.09495 100.55347  99.90996  99.54396  99.57911 100.18982 #>   [3697] 100.16986  99.62931 100.19481 100.35935 100.12992 100.03999  99.59418 #>   [3704]  99.79980  99.61928  99.61426 100.29955  99.92998 100.82162 100.02000 #>   [3711] 100.28460  99.73465 100.00500  99.86491  99.99500 100.01500 100.01500 #>   [3718] 100.16486  99.92998  99.55401  99.54396 100.16986  99.70958 100.17485 #>   [3725] 100.22974 100.00000 100.06498 100.11493 100.30454  99.76472 100.28460 #>   [3732] 100.20479  99.78477  99.77976 100.05498 100.28460 100.25966  99.75470 #>   [3739] 100.07997  99.91496 100.15987 100.54352  99.87492 100.00000  99.90495 #>   [3746]  99.70958 100.57336 100.09495 100.22475 100.01000 100.11493  99.53391 #>   [3753] 100.45895 100.03000 100.23971  99.76973 100.48383  99.82485 100.74721 #>   [3760]  99.50377 100.30952  99.73465  99.67949 100.56341 100.14490 100.13990 #>   [3767]  99.94999 100.44899  99.95999 100.48383 100.52363  99.77475  99.86992 #>   [3774] 100.32447 100.11993 100.06498  99.52387  99.77475  99.65942 100.21477 #>   [3781]  99.64939 100.08496 100.31949 100.08496  99.71459  99.64939  99.76472 #>   [3788]  99.51382 100.01000  99.76973  99.97000  99.66945 100.00500 100.07497 #>   [3795] 100.19481  99.77976 100.33942 100.26465  99.98500  99.94498  99.47864 #>   [3802]  99.63433 100.49378  99.93498  99.96499  99.72462 100.09495  99.88994 #>   [3809] 100.43904 100.06498  99.86491  99.84488 100.05498  99.51884  99.67949 #>   [3816] 100.09495  99.92998  99.79479 100.26465  99.87993 100.07997 100.24969 #>   [3823]  99.94999 100.24470  99.63433 100.28460  99.97000 100.25468  99.83486 #>   [3830] 100.37430  99.93998 100.43904 100.03999  99.73465  99.32774 100.11493 #>   [3837] 100.61809 100.53855  99.92998 100.78194 100.51368 100.21477 100.15488 #>   [3844] 100.10994 100.28460  99.85489 100.54352  99.54898  99.72963  99.85990 #>   [3851] 100.32447  99.86992  99.87492 100.13990  99.50377 100.06498  99.89494 #>   [3858] 100.10494 100.08496  99.81483  99.93998 100.53855 100.22974  99.97000 #>   [3865]  99.84488  99.66945  99.79479  99.94498 100.26964 100.17984 100.29955 #>   [3872]  99.55401 100.18483  99.61426  99.66945  99.98000 100.22974  99.71459 #>   [3879]  99.80481 100.64790 100.08496  99.57409 100.10994  99.95499  99.83486 #>   [3886] 100.26465 100.32447  99.76472 100.10494 100.25966  99.89995  99.72963 #>   [3893] 100.03999  99.90996  99.43842 100.08496 100.53855 100.81171  99.76472 #>   [3900] 100.35437 100.57833  99.95999  99.97500 100.38924 100.58330 100.00000 #>   [3907]  99.89995  99.54396  99.93498 100.58827 100.12492 100.09495  99.85489 #>   [3914] 100.00000  99.93998 100.05998 100.49876 100.40418 100.46392  99.77976 #>   [3921]  99.65942 100.13491 100.19980 100.01500  99.65440 100.53855 100.42908 #>   [3928]  99.99500  99.65942 100.00000 100.20978  99.85990 100.27462 100.42410 #>   [3935] 100.07497 100.10494 100.37928  99.90495  99.83486 100.10494 100.12492 #>   [3942]  99.71961  99.89995 100.00500 100.03999  99.91496  99.45853  99.69955 #>   [3949] 100.02000 100.39920 100.09495  99.92998  99.64939  99.91496 100.05498 #>   [3956] 100.06998 100.12992  99.82485 100.02500 100.42410 100.58330 100.24969 #>   [3963] 100.02000 100.73232  99.80481  99.79980 100.22475  99.74969 100.50373 #>   [3970] 100.40418  99.90495 100.15987  99.65440  99.90495 100.28460  99.64437 #>   [3977] 100.16486  99.99500  99.84989  99.96499  99.92497  99.66945  99.98000 #>   [3984]  99.99000 100.46392 100.07997 100.37430 100.07497  99.64939  99.75971 #>   [3991]  99.87492  99.89995 100.15488 100.01500 100.41414 100.14490 100.08496 #>   [3998] 100.03499  99.71961 100.22475  99.50377  99.79980 100.04999  99.29753 #>   [4005] 100.00500 100.30454  99.93998 100.22475 100.32447  99.83987 100.48383 #>   [4012] 100.32946  99.98000  99.81984 100.12992 100.02000  99.44848  99.76973 #>   [4019]  99.78978 100.16986 100.03999 100.57833 100.09495  99.84989 100.21477 #>   [4026]  99.65942 100.21477  99.89494 100.78194  99.72963  99.61426 100.55844 #>   [4033]  99.99000  99.60422 100.45397  99.71459 100.29457 100.47388 100.53358 #>   [4040] 100.24969  99.60422  99.81984  99.64939 100.14989 100.20479  99.63935 #>   [4047]  99.67949  99.15140  99.83486 100.13491 100.31451  99.99500  99.43842 #>   [4054] 100.01000 100.44401 100.25966 100.08996 100.16486 100.08996 100.41414 #>   [4061]  99.51884 100.19980  99.99500 100.50373 100.15987  99.84488 100.27462 #>   [4068] 100.59324  99.90996 100.04999 100.28460 100.17984  99.76472  99.70958 #>   [4075] 100.18982 100.40916  99.93498 100.00500 100.14989 100.13990  99.45351 #>   [4082]  99.59418 100.53855 100.56341 100.11493  99.51382  99.68450 100.28460 #>   [4089] 100.23971  99.66945 100.22475  99.81984  99.91997 100.46392 100.31949 #>   [4096] 100.37928  99.74969 100.33942  99.78477  99.92497  99.84488 100.03999 #>   [4103] 100.32946 100.33444  99.91496  99.52889  99.55903 100.20978 100.02000 #>   [4110] 100.04499 100.26465  99.94999  99.84488  99.77475  99.97500 100.32447 #>   [4117]  99.86491 100.31949  99.87492 100.33444 100.27462 100.11493  99.44848 #>   [4124] 100.28958 100.33444 100.00000 100.02500  99.96499  99.99000 100.35935 #>   [4131]  99.37303 100.03999  99.81984 100.28958 100.26964  99.97000 100.29457 #>   [4138]  99.79980 100.61312 100.13491 100.50373  99.48367  99.95999  99.93998 #>   [4145]  99.79479  99.81984 100.24969  99.78477  99.82986 100.16986  99.79479 #>   [4152] 100.34939  99.98000  99.74467  99.76973  99.82485 100.32447 100.07997 #>   [4159]  99.53894 100.17485 100.14989  99.78477  99.60924 100.35935  99.52387 #>   [4166] 100.25468 100.06998  99.97500 100.11493  99.92998 100.36434  99.85489 #>   [4173]  99.86992  99.95999  99.92497 100.08996  99.87492 100.20978  99.87492 #>   [4180] 100.32946 100.28958  99.99000 100.04999  99.85990  99.63935 100.40916 #>   [4187] 100.13990 100.01000 100.30454 100.23472  99.70958 100.15488 100.07497 #>   [4194]  99.70958  99.96499 100.36434  99.98500  99.99500 100.09495  99.72462 #>   [4201] 100.00000  99.40322 100.15488 100.62306 100.10494  99.94498 100.30952 #>   [4208] 100.15987 100.71743  99.78978  99.91496 100.14490 100.37928 100.48383 #>   [4215]  99.80982  99.94498 100.06998 100.07497 100.20479 100.01000 100.38924 #>   [4222] 100.13491 100.34939  99.69453 100.51368  99.85489  99.56405 100.11493 #>   [4229] 100.34441  99.74467  99.93498 100.35437  99.99000  99.90495  99.68450 #>   [4236]  99.98500 100.30454 100.39422 100.79186  99.63433  99.80481 100.05498 #>   [4243]  99.93998 100.01000 100.04999  99.84989  99.65440  99.86992 100.34441 #>   [4250] 100.05998  99.61928 100.14989 100.21477 100.10494 100.19980  99.69453 #>   [4257]  99.76472  99.43339 100.18982 100.28958 100.25468 100.19980 100.31451 #>   [4264]  99.95499 100.17984 100.07997 100.16986 100.10994  99.86491 100.33942 #>   [4271] 100.29457 100.08496 100.04999  99.91997  99.47864 100.22475 100.14989 #>   [4278]  99.90996 100.48383  99.98500 100.02500  99.81483  99.95499  99.85990 #>   [4285] 100.07497  99.93998  99.73465 100.05498 100.12492  99.69955 100.44899 #>   [4292] 100.40418 100.43406 100.59324 100.06998  99.51884  99.74467  99.58916 #>   [4299]  99.33277 100.25966 100.49876 100.07997 100.21477 100.19980 100.10494 #>   [4306] 100.27961  99.63433 100.40916  99.75971 100.08496  99.94999  99.73966 #>   [4313] 100.19980  99.96499 100.38426  99.78477  99.51382  99.99000 100.16486 #>   [4320]  99.36800  99.88994 100.09995 100.14490  99.78978  99.69955 100.05998 #>   [4327] 100.15987 100.15987  99.80481  99.77976  99.62931 100.31451 100.19980 #>   [4334]  99.89995 100.44401 100.60318  99.43339 100.12492 100.29457 100.35437 #>   [4341] 100.22475 100.23472  99.98000  99.72462  99.71459 100.25966  99.77976 #>   [4348]  99.34787 100.30952 100.48383  99.70456 100.02500  99.97500 100.00000 #>   [4355]  99.97500  99.54898  99.90495 100.15987 100.35935  99.88493  99.39316 #>   [4362]  99.99000 100.28958 100.20479  99.53894  99.92998 100.18982  99.98000 #>   [4369] 100.00500 100.01500  99.29250 100.13990  99.90495  99.80481 100.23472 #>   [4376]  99.82986 100.29955  99.90495 100.35437 100.25468  99.95999 100.23472 #>   [4383]  99.86992 100.21477  99.98500 100.36434 100.32946 100.29955  99.80481 #>   [4390]  99.80481  99.98500 100.40916  99.94498 100.38426 100.07497 100.25966 #>   [4397] 100.02500  99.35794 100.04999 100.51368 100.00500 100.09995  99.85990 #>   [4404] 100.03999  99.88493 100.35437 100.05498  99.77976  99.61426 100.67770 #>   [4411] 100.12992  99.41328  99.65440 100.03999 100.24470  99.79479 100.41414 #>   [4418]  99.85489  99.88493  99.72462 100.38426  99.33781  99.88493 100.16986 #>   [4425]  99.70456  99.88493  99.44345 100.41414  99.91997 100.07997  99.99000 #>   [4432]  99.66945 100.43904 100.06498 100.07997 100.17984  99.95999  99.56907 #>   [4439] 100.32946  99.98000 100.74721 100.32447 100.18982  99.88994  99.99500 #>   [4446] 100.13491  99.87492  99.64939 100.18483 100.38924  99.62429 100.18982 #>   [4453] 100.23472 100.32946 100.60318 100.00500 100.39920  99.92497  99.58916 #>   [4460]  99.54396 100.10994  99.59920 100.01000  99.63935  99.74969 100.09995 #>   [4467]  99.81984  99.68450 100.01000 100.22475  99.66444 100.66777  99.82986 #>   [4474]  99.92497 100.58330 100.27961 100.07997  99.73966  99.66444 100.25468 #>   [4481]  99.98500  99.62931 100.06498  99.64939  99.76472  99.80982 100.41414 #>   [4488] 100.08996  99.72963 100.41414 100.26465 100.49378  99.19677 100.19980 #>   [4495] 100.04999  99.98500  99.75971  99.80481  99.92497 100.52860  99.73966 #>   [4502]  99.58414  99.56907  99.92497  99.76472 100.06498  99.82485 100.19481 #>   [4509]  99.86491 100.00500  99.88493  99.84989 100.09995 100.09995  99.76472 #>   [4516] 100.42908  99.73465 100.04499 100.25468 100.17984 100.27961  99.63935 #>   [4523]  99.43339  99.47864  99.94498 100.46890  99.77976  99.93998 100.21976 #>   [4530] 100.36434  99.87993 100.04499  99.75971  99.91496 100.39920  99.44345 #>   [4537]  99.99500  99.57409 100.14490 100.36434 100.13990  99.99500  99.58414 #>   [4544]  99.73465 100.07997  99.78477 100.15987 100.17984  99.53391 100.24470 #>   [4551]  99.80481  99.60924 100.14490 100.14490 100.61809 100.04499  99.69453 #>   [4558]  99.86992 100.36932 100.10994 100.19980 100.24969 100.47885  99.97000 #>   [4565] 100.16486  99.63433  99.67949 100.16486 100.24969 100.07497  99.88493 #>   [4572]  99.90996  99.29250  99.72963 100.48383 100.48881  99.98000 100.01500 #>   [4579]  99.86992  99.72963 100.00500  99.97000  99.84989 100.05498  99.56405 #>   [4586] 100.52363  99.71961 100.30454 100.16986  99.50377 100.05998  99.76973 #>   [4593] 100.11493 100.08996  99.67447 100.45397 100.07997 100.02000 100.59324 #>   [4600]  99.59418 100.11993  99.77976  99.77475 100.01000  99.61426 100.15488 #>   [4607] 100.01000  99.89494 100.30454 100.34939 100.06998  99.69955  99.62931 #>   [4614] 100.35437 100.36434 100.26465 100.10994 100.02500  99.67447  99.73966 #>   [4621]  99.76973  99.82485  99.85489  99.52387 100.03000 100.03000  99.54898 #>   [4628] 100.24969  99.55903  99.58414 100.10994 100.19980 100.45397 100.40916 #>   [4635] 100.29457 100.19980 100.47885  99.83486  99.93498 100.11993  99.78477 #>   [4642] 100.25468 100.04499  99.91496 100.26465 100.07997  99.55903 100.09495 #>   [4649] 100.16986 100.16486  99.55401 100.03999 100.57336  99.84989 100.32447 #>   [4656] 100.06498 100.60815  99.57409 100.00000  99.78477 100.29955  99.41328 #>   [4663]  99.29753  99.70958  99.78477  99.86491  99.54898  99.82986  99.76472 #>   [4670]  99.80982  99.68952 100.39920  99.96499  99.80982 100.10994  99.62931 #>   [4677] 100.13491  99.65942 100.19481  99.93498  99.82986 100.12492  99.56405 #>   [4684]  99.45853 100.35437  99.73966 100.13990  99.68450  99.83486 100.35437 #>   [4691] 100.02500  99.65440  99.76973 100.15987 100.11493 100.17485 100.07497 #>   [4698] 100.06998  99.71961  99.77976  99.95999  99.75470  99.97500  99.88994 #>   [4705]  99.97500 100.12492 100.10494 100.07497  99.50377  99.73966 100.40916 #>   [4712] 100.09495  99.77976 100.07497  99.95999 100.01000  99.88493 100.13990 #>   [4719]  99.60924  99.85489  99.85990 100.27961 100.06498  99.92497  99.74467 #>   [4726] 100.09495 100.06498  99.46859 100.23971 100.23472  99.67949  99.92998 #>   [4733]  99.52889  99.66444 100.30952  99.88994  99.95999 100.23472 100.23971 #>   [4740]  99.54898  99.92998 100.35437 100.26964 100.25966 100.15987  99.91997 #>   [4747]  99.48869  99.57409 100.11993  99.85489 100.36434 100.50871  99.59920 #>   [4754] 100.04499  99.99500 100.37430 100.15488  99.65440 100.28460 100.24470 #>   [4761]  99.91496 100.31949  99.94498  99.92497 100.48383  99.50879 100.19980 #>   [4768]  99.78978  99.58414  99.61928 100.52363  99.64437  99.70958  99.90495 #>   [4775]  99.85489  99.97000 100.09495  99.52387 100.51865 100.07497  99.84488 #>   [4782]  99.99500  99.69955  99.70958  99.93998 100.28958  99.74467  99.82485 #>   [4789]  99.87993 100.56341  99.82986 100.11993 100.35437  99.76472  99.87492 #>   [4796] 100.14989  99.81483 100.00000 100.10494 100.09495  99.66444  99.76973 #>   [4803] 100.23472 100.54352 100.21976 100.40916 100.27961 100.33942 100.04999 #>   [4810] 100.49378 100.31949  99.60924 100.12992 100.48881 100.03000 100.16486 #>   [4817]  99.80481 100.33942  99.98000  99.75470  99.95499 100.09495 100.23971 #>   [4824] 100.23472 100.11993  99.85990  99.66945  99.84989 100.14989  99.81984 #>   [4831] 100.20978  99.88493 100.04499 100.37928  99.88493  99.69955  99.95499 #>   [4838]  99.83987  99.96499  99.87492  99.38310 100.00000 100.39920  99.77475 #>   [4845] 100.11993 100.37928  99.74467  99.94999  99.87993 100.18483 100.17984 #>   [4852]  99.81984  99.43842  99.84488  99.98000 100.46890  99.32774 100.34441 #>   [4859]  99.82485  99.83987  99.80481  99.88994 100.13491 100.53855 100.07497 #>   [4866]  99.27235  99.57409 100.12992 100.27462 100.02500 100.23971  99.69955 #>   [4873] 100.57833  99.94498 100.24470 100.12992 100.11993  99.64939 100.56341 #>   [4880] 100.31949 100.04499  99.55903  99.99500 100.11993  99.68952  99.53391 #>   [4887] 100.09495 100.49876 100.03000 100.42908  99.96499  99.66945 100.19481 #>   [4894]  99.63433 100.05498 100.35935  99.99000  99.78978  99.68450 100.08996 #>   [4901] 100.10994 100.21477  99.61426  99.97000  99.99500  99.81984  99.87993 #>   [4908] 100.02000 100.34441  99.90495 100.16486 100.60318  99.75971 100.02000 #>   [4915]  99.63935  99.27739 100.06498  99.52889 100.17984  99.80481 100.50871 #>   [4922]  99.99000  99.50879  99.97000 100.17984 100.24470  99.42334 100.27462 #>   [4929]  99.99500  99.56405 100.32447 100.17485  99.64437 100.36932 100.16986 #>   [4936]  99.38310 100.21477 100.00500  99.94999 100.24470  99.64437 100.34441 #>   [4943]  99.95499  99.79479  99.86491 100.01000 100.25966 100.14490  99.88493 #>   [4950] 100.14490 100.09495 100.14490 100.30454  99.83486  99.57409  99.54898 #>   [4957]  99.35291 100.18483 100.47388 100.26465 100.40916 100.23971 100.15488 #>   [4964]  99.86491 100.12992 100.00000  99.74467  99.83486 100.45895 100.09495 #>   [4971] 100.19980 100.38924  99.89494 100.01000 100.09995  99.69453  99.82986 #>   [4978]  99.83987 100.06498 100.40916  99.78978 100.44899  99.94498 100.28460 #>   [4985]  99.80481  99.76973 100.40916 100.50373 100.02000 100.11493 100.13491 #>   [4992] 100.14989 100.12492  99.84488  99.35794  99.94498  99.90495  99.88493 #>   [4999] 100.28958  99.91496  99.40322  99.39819  99.38310  99.44345  99.69955 #>   [5006] 100.28460 100.03999 100.67274  99.81483 100.31451 100.34939  99.91496 #>   [5013] 100.30952 100.03499  99.85990  99.51884 100.28460  99.92998  99.67447 #>   [5020]  99.66444  99.84989  99.94498  99.63433  99.80481 100.34939  99.69955 #>   [5027] 100.26964  99.77475 100.26964  99.23709  99.80982  99.88493  99.65942 #>   [5034] 100.05998 100.41414  99.68952 100.23472 100.28460  99.98000 100.14490 #>   [5041]  99.81483  99.73465  99.67447  99.76973  99.50377  99.75470  99.52889 #>   [5048] 100.04999 100.20479  99.94999  99.59920  99.53391  99.90495 100.17984 #>   [5055] 100.37928  99.52387  99.59418 100.05498 100.16986  99.82986  99.69955 #>   [5062]  99.64437  99.81483 100.07997  99.72462  99.89995 100.62803 100.31949 #>   [5069]  99.66444  99.70456 100.13491 100.63797  99.67447 100.35935 100.31949 #>   [5076]  99.60422  99.67949 100.32946 100.20479  99.63433  99.90996  99.62931 #>   [5083] 100.16486  99.89995 100.36932 100.03000 100.25966 100.11993 100.45397 #>   [5090]  99.82986  99.92998 100.03499  99.62429  99.66945  99.99500  99.82986 #>   [5097]  99.96499  99.92998  99.90495  99.95999  99.72963 100.46392  99.32774 #>   [5104] 100.25468 100.38426  99.76973 100.02500 100.22475 100.07997 100.59821 #>   [5111] 100.32946  99.57911  99.71961 100.10494 100.01000 100.16986  99.55903 #>   [5118] 100.11493  99.53391  99.64939  99.61426  99.95999 100.09995  99.70958 #>   [5125] 100.10494  99.76472 100.10494 100.06498  99.80481 100.05498  99.45351 #>   [5132] 100.06998 100.24470 100.31451 100.23472 100.18483  99.83486 100.26465 #>   [5139]  99.73465  99.62931 100.28958  99.94498  99.82485 100.32447  99.80982 #>   [5146]  99.94999  99.95499  99.49372  99.51884  99.86491 100.16486 100.44899 #>   [5153]  99.66444  99.66945 100.55347  99.88994  99.99500 100.16986 100.20978 #>   [5160] 100.09995  99.93498 100.22974 100.43904 100.36932 100.34441  99.72462 #>   [5167] 100.47388 100.00000  99.60422 100.26465  99.53894 100.06998 100.24969 #>   [5174]  99.49874  99.52387  99.98500  99.97000  99.99500  99.90996  99.79479 #>   [5181]  99.91997  99.64437 100.20479  99.74969  99.51382  99.80481  99.61426 #>   [5188]  99.89494  99.69453 100.01000  99.65942 100.11993 100.39920  99.98500 #>   [5195] 100.12992 100.28460 100.07497 100.29955 100.02500 100.38426  99.40322 #>   [5202]  99.75470  99.74467  99.75971 100.14490 100.18483 100.33444  99.51382 #>   [5209]  99.92497 100.13491  99.90495  99.64939  99.87492 100.08996 100.02500 #>   [5216]  99.96499  99.80982 100.08496  99.72462 100.06498 100.48383  99.97500 #>   [5223]  99.88994 100.17984 100.11493  99.88994  99.99500  99.99500 100.55347 #>   [5230] 100.14490 100.00000 100.20479 100.51368 100.17984 100.42410 100.01000 #>   [5237]  99.65942  99.91997 100.19481  99.84989 100.40916 100.00000 100.11493 #>   [5244] 100.15488  99.86992  99.63935 100.35437  99.89494 100.02000 100.03499 #>   [5251] 100.01500  99.86992 100.48881 100.06998 100.05498  99.66444  99.57409 #>   [5258]  99.80982  99.92497 100.04999  99.85990  99.66444  99.87492  99.87492 #>   [5265] 100.18483  99.84488 100.22475  99.41328  99.35794  99.71961  99.76472 #>   [5272] 100.15488 100.16486  99.98500 100.22974 100.40418 100.15488 100.15987 #>   [5279]  99.52889 100.08496  99.77475 100.22974  99.89494 100.18483 100.30952 #>   [5286] 100.12992 100.08996 100.15987 100.32447  99.91997  99.89494 100.18982 #>   [5293] 100.62803 100.02000  99.81984  99.41328 100.30454 100.06998 100.10494 #>   [5300] 100.00500 100.17984  99.80481 100.02000 100.50373  99.70456 100.44899 #>   [5307]  99.90495 100.04499 100.09495 100.13990  99.81984 100.21976  99.72963 #>   [5314]  99.67447 100.37928 100.01000  99.68450  99.88493  99.73465 100.15987 #>   [5321]  99.88493 100.44899 100.48383  99.78477  99.71459 100.47885  99.26732 #>   [5328] 100.03499 100.12492  99.52387 100.26964  99.97000 100.31451  99.97000 #>   [5335] 100.11993  99.82485 100.09995 100.18483  99.62931  99.72462  99.53391 #>   [5342]  99.84488 100.19481  99.94498  99.32271  99.64437 100.40418 100.16986 #>   [5349] 100.31949 100.10994 100.25468 100.34939 100.31949  99.77976  99.88493 #>   [5356] 100.48383 100.35437 100.00000 100.25468  99.56907  99.74467  99.80481 #>   [5363]  99.59920 100.18982  99.69453  99.48869  99.55401  99.46356  99.99500 #>   [5370]  99.91997  99.71961  99.91997  99.78978  99.41328  99.71459  99.93498 #>   [5377] 100.20978 100.09495  99.90495  99.99500  99.87492  99.35794 100.13990 #>   [5384] 100.15488 100.10994 100.25468 100.56341  99.87492  99.81984  99.86992 #>   [5391]  99.64437  99.86491 100.10994 100.38924 100.14989  99.91997  99.62429 #>   [5398]  99.84488  99.88493  99.98500 100.37928 100.31451 100.48383 100.11993 #>   [5405] 100.12992  99.82986  99.89494  99.89494  99.40825  99.72462  99.95499 #>   [5412]  99.81483 100.25468  99.62931 100.08496 100.01500  99.97000  99.89995 #>   [5419] 100.12992 100.03000 100.03999 100.32447  99.79980 100.43406 100.19481 #>   [5426]  99.88493 100.41912 100.36932 100.18483 100.19980 100.06498  99.67447 #>   [5433]  99.89995 100.07997 100.09495  99.98000 100.22974 100.17485  99.98000 #>   [5440]  99.74969  99.95999 100.22475 100.25966 100.08996 100.01000  99.97000 #>   [5447]  99.95499  99.64437 100.24969 100.25468  99.95999 100.36434 100.09495 #>   [5454] 100.11993 100.26465  99.83486 100.28460  99.82485  99.98500 100.35935 #>   [5461]  99.66945 100.34441  99.92497 100.02500 100.37430 100.00000 100.17485 #>   [5468] 100.50373 100.11993 100.02000  99.97500 100.17485 100.24969  99.89494 #>   [5475]  99.81984 100.19980 100.00500  99.63433 100.36932  99.30257 100.28460 #>   [5482]  99.50377 100.00000  99.50377  99.94498  99.78477 100.23472 100.05998 #>   [5489]  99.70456 100.17485 100.28958  99.89494  99.77976  99.63433  99.84488 #>   [5496]  99.82986 100.11993 100.17984 100.00500  99.82986  99.59920 100.21477 #>   [5503] 100.46890  99.91997 100.32447 100.27961 100.20978 100.32946 100.31451 #>   [5510]  99.93998 100.01000 100.08496 100.12992 100.21976  99.93998  99.99000 #>   [5517]  99.89995  99.79980  99.99500 100.52363 100.08496 100.31949  99.90495 #>   [5524]  99.90495 100.14989 100.50373 100.24969  99.99500 100.09995  99.33277 #>   [5531] 100.07997 100.46890  99.94999  99.58414 100.01000  99.76472 100.58330 #>   [5538] 100.09495 100.07497  99.68952  99.63433  99.81483 100.49876 100.19481 #>   [5545] 100.42908  99.59418  99.47864 100.30952  99.95999  99.66945 100.14490 #>   [5552] 100.24969 100.00000  99.59920  99.88994  99.98500  99.83486  99.84989 #>   [5559]  99.55903 100.38426 100.48881  99.68952  99.82485 100.03999 100.25966 #>   [5566]  99.73465 100.08996 100.47885 100.32447 100.25468 100.18483  99.75470 #>   [5573] 100.29457 100.20978  99.72462 100.00000  99.67949 100.16986 100.42908 #>   [5580]  99.89995 100.07497  99.92998  99.86992  99.62931  99.91496  99.72462 #>   [5587] 100.03999  99.96499 100.30952 100.04999 100.43406  99.76472 100.61809 #>   [5594] 100.22974  99.84488 100.31949 100.19980 100.04999 100.03000  99.98500 #>   [5601] 100.20479 100.34441 100.19481 100.11493 100.34939  99.69955  99.87993 #>   [5608] 100.36932  99.97500  99.68450 100.04999 100.35935 100.07497  99.59920 #>   [5615] 100.18483  99.41831  99.65942  99.86992  99.69453 100.05998  99.75971 #>   [5622] 100.45895  99.88493 100.25966 100.00500  99.79980 100.05998 100.10494 #>   [5629]  99.90495  99.46356 100.14989  99.39316 100.01500 100.14989 100.06498 #>   [5636] 100.00500  99.96499  99.56405 100.19481  99.30257 100.28460  99.76472 #>   [5643] 100.12992  99.88493  99.84989 100.22974 100.14490  99.78978  99.86992 #>   [5650]  99.34787  99.97000 100.25468  99.78978 100.52363 100.14490  99.59920 #>   [5657] 100.00500  99.77976  99.47361  99.89995 100.26964  99.74969 100.67770 #>   [5664]  99.57409  99.65440  99.84488 100.16986 100.03499 100.43904  99.90495 #>   [5671]  99.88493 100.45895  99.63433  99.95499 100.02000  99.84488 100.28958 #>   [5678] 100.03999  99.85489 100.21477 100.01000 100.04999  99.99000  99.92998 #>   [5685]  99.46356 100.37430 100.23971 100.01500  99.82485 100.56341  99.98500 #>   [5692] 100.40418 100.04999  99.63433  99.96499  99.67949  99.56405 100.31949 #>   [5699]  99.96499  99.69453  99.73465  99.99000 100.38426 100.17485  99.66444 #>   [5706] 100.18982 100.60318 100.05998 100.04999  99.88994  99.83486  99.67447 #>   [5713]  99.53894 100.02500 100.10994  99.86491 100.51865 100.26964 100.55844 #>   [5720]  99.54898 100.02500 100.67770 100.15488 100.12992  99.86491  99.33781 #>   [5727]  99.83486  99.99500  99.83987  99.99500  99.43339  99.80982  99.85990 #>   [5734] 100.11493  99.61928 100.05498  99.75971 100.25966 100.09995 100.27961 #>   [5741] 100.01500 100.09995 100.18483  99.82485 100.16986  99.84989  99.93998 #>   [5748] 100.17485  99.85990  99.74969 100.46890 100.21477  99.76973  99.88994 #>   [5755]  99.94498 100.08996  99.64939 100.44899 100.22475  99.53391 100.23472 #>   [5762] 100.22974 100.32447  99.75470  99.92998 100.52860 100.40916  99.84989 #>   [5769] 100.58330 100.16486 100.06498  99.66444 100.25966 100.21976  99.95499 #>   [5776] 100.18483  99.79980  99.84989 100.44401 100.53358  99.94999  99.96499 #>   [5783] 100.14989 100.28460  99.56907  99.95999  99.45853  99.94498  99.62931 #>   [5790] 100.42410  99.93998 100.17485  99.60924 100.39422 100.30454 100.09495 #>   [5797] 100.01000  99.88493 100.30952  99.71961  99.32774 100.16986  99.76973 #>   [5804] 100.32946  99.94498  99.72462  99.94498 100.39920  99.48869  99.97000 #>   [5811] 100.23472 100.48881 100.01500  99.96499  99.72462 100.42410 100.26465 #>   [5818] 100.03000  99.93998 100.17984 100.09495  99.85990 100.03000 100.18483 #>   [5825]  99.70958  99.40825 100.59821  99.59920 100.20479  99.85990 100.34939 #>   [5832]  99.97000 100.06998  99.95499  99.89494 100.50871  99.71961  99.65440 #>   [5839] 100.22475  99.74969  99.71961 100.02500  99.36297  99.55903  99.98000 #>   [5846] 100.07997 100.48383 100.20978  99.84989  99.74969  99.67949  99.41328 #>   [5853]  99.96499 100.64790 100.26465 100.05498  99.66945  99.48869 100.03499 #>   [5860] 100.19481  99.77976  99.73966  99.84488 100.16486  99.98000 100.25468 #>   [5867]  99.99500 100.28958  99.82485  99.68952  99.97000  99.86491  99.42334 #>   [5874]  99.97500  99.83486 100.62803 100.02000 100.02000  99.78978  99.67949 #>   [5881] 100.27462 100.11993 100.02000  99.99000  99.91997  99.87492  99.57911 #>   [5888] 100.00000  99.93998 100.26964 100.21976 100.11993 100.38426  99.50879 #>   [5895]  99.76973 100.10494 100.45895 100.52363  99.85489 100.29955 100.01500 #>   [5902] 100.21477 100.13491  99.82485 100.13491 100.13990  99.91997 100.28958 #>   [5909]  99.93498  99.67447  99.94498 100.14989  99.80481 100.39920 100.39422 #>   [5916] 100.37928 100.18982 100.46890 100.32447  99.76973  99.72963  99.49372 #>   [5923] 100.05498 100.07497 100.45397 100.16986 100.19481  99.90495 100.05498 #>   [5930]  99.86992 100.13990  99.86491 100.11993 100.48881  99.89995 100.23472 #>   [5937]  99.65440 100.04499 100.14989  99.73465 100.25966 100.46392  99.98500 #>   [5944] 100.81667  99.70456  99.61928 100.22475 100.01500 100.28460  99.64437 #>   [5951]  99.65440  99.94498 100.03999  99.77976 100.00500  99.67949 100.11993 #>   [5958]  99.85990 100.10494  99.82485 100.06998  99.59920 100.06998  99.61426 #>   [5965] 100.20978 100.61809 100.35935 100.34441 100.25966  99.83486  99.94498 #>   [5972] 100.04999  99.66444 100.18982  99.92497  99.51884  99.82986 100.01000 #>   [5979]  99.87993 100.12492 100.07997  99.92998  99.71459  99.92497 100.37430 #>   [5986]  99.59920  99.59920  99.47361 100.04999 100.26964 100.03000  99.99500 #>   [5993] 100.18483  99.53391  99.87993  99.49874 100.79186  99.78978 100.18483 #>   [6000] 100.08496  99.94498 100.04999  99.20685 100.40418  99.96499  99.91496 #>   [6007] 100.71743 100.01500 100.15987  99.48367  99.34787 100.16986  99.76472 #>   [6014] 100.12992 100.02500  99.72963  99.73465  99.71459 100.12492  99.65942 #>   [6021]  99.88994  99.96499  99.95499  99.97000  99.92998  99.71459 100.32447 #>   [6028] 100.14490 100.32447  99.79479 100.12492 100.00000 100.07497 100.05998 #>   [6035]  99.83987 100.19481 100.07497  99.65440 100.03499  99.92998  99.56907 #>   [6042] 100.19980  99.94999  99.91997  99.73465 100.14989 100.04999 100.22974 #>   [6049] 100.18982 100.08496  99.22197 100.03999 100.29457 100.54352  99.85990 #>   [6056] 100.23971 100.55347  99.74969 100.03000 100.72735  99.83987 100.22974 #>   [6063]  99.78978 100.34939  99.94498  99.94999  99.68952 100.03000 100.34441 #>   [6070] 100.34939  99.35291 100.40916  99.55903 100.60318 100.16986  99.99500 #>   [6077]  99.99500  99.76973  99.48869  99.93998 100.37928  99.75470 100.00000 #>   [6084]  99.65440 100.28958 100.01500 100.00500 100.19481  99.70456  99.46859 #>   [6091]  99.77475 100.60318 100.16986 100.23472 100.10994  99.94498  99.76973 #>   [6098] 100.24969  99.97500  99.95499  99.82986 100.69260  99.91997  99.38310 #>   [6105] 100.04999 100.72735 100.29955  99.55903 100.38924 100.30952  99.83486 #>   [6112]  99.84488 100.08996  99.87993 100.01500  99.83486  99.48869  99.79479 #>   [6119]  99.83486  99.91496  99.84989  99.90495  99.55903  99.80481  99.75971 #>   [6126] 100.60318 100.27961 100.34441 100.04999  99.82986 100.03999 100.27961 #>   [6133] 100.23472 100.25468 100.50373  99.82986 100.09995  99.60422 100.12992 #>   [6140]  99.70456  99.66945  99.56405 100.67274 100.57336 100.25966  99.70456 #>   [6147] 100.38924 100.17984  99.93498 100.20978  99.90495 100.04999 100.16986 #>   [6154] 100.15987 100.55844  99.75971  99.92998  99.87993 100.25966  99.68952 #>   [6161]  99.53894 100.08496 100.15488  99.94498  99.81483 100.32447 100.49876 #>   [6168]  99.85990  99.81483 100.03999  99.49874  99.79980 100.46890  99.93498 #>   [6175] 100.15488  99.73465  99.92998 100.15488  99.77475  99.40322 100.04499 #>   [6182] 100.44899 100.08996  99.85489  99.66444 100.10994 100.07497  99.74969 #>   [6189] 100.03499 100.18982  99.79980 100.38924  99.96499 100.41414  99.59418 #>   [6196]  99.90495 100.10994 100.31451  99.30760 100.20479  99.92998  99.63433 #>   [6203] 100.27961 100.03499 100.02000  99.65942 100.19980 100.03999  99.80481 #>   [6210]  99.92497 100.10494 100.38924  99.78978 100.19980 100.53855  99.91496 #>   [6217]  99.48367  99.82485  99.94498 100.04999  99.75971  99.64437 100.02500 #>   [6224]  99.55401  99.93998 100.14989  99.53391  99.77475 100.05998 100.17984 #>   [6231] 100.28958  99.78978 100.24969  99.55903  99.84989 100.22475  99.28243 #>   [6238]  99.47864  99.95499  99.97000 100.09995  99.85489  99.49372 100.42410 #>   [6245]  99.99500 100.44899 100.18483 100.29955 100.06498 100.05498 100.17485 #>   [6252] 100.31451 100.08496  99.85990 100.22475  99.47864  99.92998  99.74467 #>   [6259]  99.81483  99.56405  99.94498  99.40322 100.49378 100.40916 100.29955 #>   [6266] 100.05998 100.25966 100.06998 100.07997 100.31949 100.18982  99.83486 #>   [6273] 100.19481  99.65942 100.10994  99.84488  99.88493  99.81984 100.44401 #>   [6280] 100.10494 100.24969 100.61312 100.14989  99.94498  99.77475 100.56838 #>   [6287] 100.50871 100.50871 100.49876 100.08496  99.99000  99.73966 100.08496 #>   [6294] 100.08996 100.09495  99.78477 100.20479  99.92998  99.78978 100.08496 #>   [6301]  99.84989 100.10994 100.59324 100.27961  99.91997 100.52860  99.93498 #>   [6308] 100.25966 100.15987  99.99000  99.91496 100.16486  99.99000  99.66444 #>   [6315] 100.44899 100.09495 100.19980  99.78978 100.08996 100.37928 100.21477 #>   [6322]  99.92497  99.60924 100.11493  99.70958  99.36800 100.04999  99.93998 #>   [6329]  99.94498 100.19980  99.86491  99.86992 100.25966 100.23472  99.78477 #>   [6336] 100.31451 100.35935  99.76973  99.78978 100.35935  99.78978  99.79980 #>   [6343]  99.66945  99.82986  99.84989 100.02000 100.25966  99.77475 100.35437 #>   [6350] 100.33444  99.95499  99.94498 100.03000 100.58827  99.87492 100.00500 #>   [6357] 100.60815 100.11493 100.14989 100.35935  99.67447 100.15987  99.71459 #>   [6364] 100.28460 100.24470 100.19980 100.04499 100.02500  99.59418 100.29457 #>   [6371] 100.13990 100.67770 100.38426 100.19481  99.79479  99.50879  99.75971 #>   [6378]  99.71961 100.39920 100.03499  99.86992  99.79479  99.62931 100.65287 #>   [6385] 100.18483 100.40418  99.78477  99.84488  99.48367 100.18483 100.18982 #>   [6392]  99.90495 100.10494 100.48383  99.55903 100.17485 100.38426 100.23971 #>   [6399] 100.03499 100.48881  99.49372 100.01500  99.86992 100.34441 100.12492 #>   [6406] 100.63797 100.45895  99.71459  99.91997 100.43406 100.01500  99.95499 #>   [6413]  99.45853  99.70456 100.21976  99.91997 100.11493  99.33277  99.71961 #>   [6420] 100.12492  99.87492  99.91997  99.97000 100.03999  99.39316  99.59418 #>   [6427]  99.84989  99.65440  99.99500 100.24470  99.87993  99.73465 100.37928 #>   [6434]  99.39316 100.32447 100.35437  99.98000  99.90996  99.05049 100.10494 #>   [6441]  99.67949  99.83486  99.99500 100.40916  99.70456  99.94498 100.21976 #>   [6448] 100.19980 100.05498 100.17485  99.54898 100.29457  99.94498 100.38426 #>   [6455]  99.87993  99.91997 100.15987 100.32447  99.50377 100.49378 100.07997 #>   [6462]  99.97500  99.92497 100.16486  99.84488 100.11493 100.13491 100.39422 #>   [6469] 100.38924  99.53894 100.46392 100.06498 100.12492 100.11493 100.05498 #>   [6476]  99.67949 100.60318 100.17984  99.56907  99.55401  99.78978  99.98000 #>   [6483]  99.96499 100.15987  99.75971  99.59920 100.31451  99.84488 100.10994 #>   [6490]  99.91997  99.57409 100.04499 100.08996  99.88493 100.22475  99.95499 #>   [6497]  99.95999  99.93498 100.10494 100.61312  99.71459  99.75470 100.16986 #>   [6504]  99.32774 100.20479 100.18982  99.40825 100.45397  99.74467  99.95499 #>   [6511] 100.13990  99.67447 100.50373  99.88493 100.32946  99.75971 100.19980 #>   [6518] 100.53855  99.66945 100.02000  99.49372  99.38813 100.12492 100.21477 #>   [6525]  99.43339 100.54850 100.04499 100.72239 100.06998  99.65440  99.70456 #>   [6532]  99.98500  99.62931  99.66945 100.21976 100.08496 100.60815 100.01500 #>   [6539]  99.91997 100.67274  99.97000  99.76472 100.26465  99.92497  99.60422 #>   [6546]  99.60422 100.31451  99.83987  99.70958  99.55903 100.02500  99.80982 #>   [6553]  99.86491  99.85489  99.92497 100.20479  99.99500 100.29955  99.80481 #>   [6560]  99.90495  99.88493 100.33942  99.90495  99.58414 100.03000  99.82485 #>   [6567]  99.85990 100.34441 100.08996  99.99000 100.46392 100.27961 100.18982 #>   [6574] 100.06998 100.05498  99.91997 100.24969 100.24969  99.72462  99.89494 #>   [6581]  99.66444  99.90996 100.30952  99.74969 100.42410 100.02000  99.88994 #>   [6588] 100.17485 100.22475  99.80481 100.04999  99.50879  99.82485  99.52889 #>   [6595] 100.05498 100.05498 100.33444  99.74969  99.69955  99.68450  99.38310 #>   [6602]  99.99500 100.36932  99.80481 100.18483  99.47864 100.01000 100.06998 #>   [6609]  99.54396  99.83486  99.24213  99.82986 100.20479 100.25966 100.44899 #>   [6616]  99.34284  99.99500  99.72963 100.03000  99.34787 100.28958  99.89995 #>   [6623] 100.40916  99.98000 100.08996 100.11493  99.86992 100.04999 100.01000 #>   [6630] 100.39920  99.56405  99.89494  99.52387  99.88994 100.04499 100.05498 #>   [6637] 100.06498 100.37928 100.28958 100.23971  99.74467 100.04499 100.24470 #>   [6644]  99.44345  99.58414  99.68450 100.15987  99.95499  99.95999 100.24470 #>   [6651]  99.53894 100.38924 100.10494  99.77475  99.89494  99.97000  99.78477 #>   [6658]  99.54898  99.94498 100.06498 100.48881  99.74969 100.06998  99.97000 #>   [6665] 100.03999 100.36434 100.17485  99.42334 100.08996  99.93998  99.93998 #>   [6672]  99.82485 100.01500 100.00500 100.20479  99.46356 100.03499 100.22475 #>   [6679] 100.29955  99.94999 100.44899 100.45397 100.25966 100.21477 100.10994 #>   [6686] 100.08496 100.02500 100.27961  99.83987 100.17485 100.26465 100.30454 #>   [6693]  99.59920  99.79980 100.25468 100.48881 100.22974  99.99000  99.99000 #>   [6700]  99.69955 100.32447 100.38426  99.90495  99.94498  99.49874 100.49876 #>   [6707]  99.69453 100.57336  99.55401  99.89494 100.07997 100.38924  99.43339 #>   [6714]  99.50879 100.17984 100.19481  99.41831 100.16486 100.36434 100.02500 #>   [6721] 100.14490 100.54352  99.88493 100.13990 100.83650 100.07997 100.31451 #>   [6728]  99.72462 100.37430  99.92998  99.72963 100.11993 100.22974 100.10494 #>   [6735]  99.80982  99.91997 100.51865 100.37928  99.81984 100.01500 100.11993 #>   [6742]  99.86992 100.46392 100.53358  99.61928 100.00000  99.95999  99.78978 #>   [6749]  99.79980  99.79980  99.78978 100.22974  99.40322  99.50879  99.98000 #>   [6756] 100.17984 100.49876 100.38924  99.81984 100.06498 100.26964  99.87993 #>   [6763]  99.73966  99.92497 100.38924 100.21976  99.74969  99.93998 100.36932 #>   [6770] 100.28958  99.74467  99.81984  99.87492 100.09995  99.71459 100.04999 #>   [6777]  99.93998 100.30952 100.32447 100.22475  99.57911 100.00000 100.29457 #>   [6784] 100.31949 100.46890 100.19980 100.37430  99.95999  99.78477  99.92998 #>   [6791]  99.80481 100.58330 100.51865 100.04999 100.15987 100.09495  99.91997 #>   [6798] 100.05998 100.29955  99.65942  99.53391 100.01000  99.92497  99.98500 #>   [6805]  99.59920  99.90495 100.59821 100.21976 100.01500  99.61928 100.08996 #>   [6812] 100.11493 100.31949 100.03499 100.57833 100.10994 100.18483 100.06498 #>   [6819]  99.60422  99.94999 100.41912 100.02500 100.19481 100.36434 100.01000 #>   [6826] 100.29457 100.24470  99.89494 100.24969  99.83987 100.10994  99.94999 #>   [6833]  99.53894 100.13491  99.65440 100.16486  99.69453  99.78477 100.10994 #>   [6840]  99.78477 100.14490  99.53894  99.40322  99.58414 100.52363 100.04499 #>   [6847]  99.48869 100.16486 100.03999 100.38924  99.99500 100.20978  99.46356 #>   [6854] 100.39422 100.19980  99.53391 100.41414 100.12492  99.53391 100.58330 #>   [6861]  99.84488  99.77976  99.62429 100.07997  99.51382  99.75470 100.03999 #>   [6868]  99.71961  99.85489 100.09495 100.32946 100.11993 100.43406  99.97500 #>   [6875] 100.32946 100.33444 100.27961  99.73465 100.07997  99.99000  99.70958 #>   [6882]  99.93998 100.26964 100.12492 100.24470 100.03999 100.00500 100.20978 #>   [6889]  99.74969  99.84989 100.34441 100.15987 100.08996 100.22974 100.26964 #>   [6896]  99.39316 100.08996  99.79980  99.96499 100.24470 100.00000 100.27462 #>   [6903] 100.06998  99.91997 100.12492  99.87492  99.96499  99.62429  99.69453 #>   [6910] 100.31451  99.75971 100.44899  99.85489 100.01500 100.10994  99.63935 #>   [6917]  99.94999 100.09995 100.05998 100.42410  99.51884  99.92497 100.15488 #>   [6924] 100.38426  99.97500 100.14490 100.02000  99.90495  99.99000  99.88493 #>   [6931]  99.76472 100.42410  99.90495  99.82485  99.91496  99.99000 100.13990 #>   [6938] 100.29457  99.72963  99.74467  99.76472  99.60924  99.71961  99.55401 #>   [6945]  99.76472  99.83987  99.93998  99.76973  99.87492 100.06998  99.71961 #>   [6952] 100.41414 100.78690 100.26465 100.39920 100.15488  99.94498 100.18982 #>   [6959] 100.13491  99.46356 100.30454  99.99500 100.43406 100.39422 100.08996 #>   [6966] 100.19980 100.08996 100.27961 100.05498 100.30952 100.02000 100.06998 #>   [6973] 100.18483  99.57409 100.87616 100.07497  99.37303  99.85990 100.00000 #>   [6980] 100.03499  99.71961 100.22974  99.82485  99.56405  99.87993 100.37430 #>   [6987] 100.13990  99.94999 100.36434 100.64293  99.73465  99.68952  99.74969 #>   [6994]  99.71961  99.56907  99.28243  99.92497 100.16986 100.06998 100.00000 #>   [7001] 100.20479  99.90495 100.06998  99.82986 100.57336  99.94999  99.56405 #>   [7008] 100.25468  99.72462 100.42410 100.34939 100.02500  99.96499 100.20978 #>   [7015] 100.18982 100.23971 100.08496 100.07997 100.02500 100.39920 100.23472 #>   [7022] 100.37928  99.85489 100.26964 100.30952  99.64939 100.14490  99.99000 #>   [7029] 100.24969 100.01000  99.77475 100.19481 100.43904 100.03499  99.46859 #>   [7036]  99.69453  99.56405  99.75971 100.07997  99.78978 100.12992 100.19980 #>   [7043]  99.92497  99.59418  99.82986 100.17485 100.32946  99.51884 100.11993 #>   [7050] 100.60318 100.44899  99.51382 100.36434 100.10494 100.50373  99.97500 #>   [7057]  99.82485  99.66945 100.49378 100.08996 100.33942 100.00500 100.11493 #>   [7064] 100.10494  99.57409 100.23472 100.33942 100.02000 100.14989  99.72462 #>   [7071] 100.35437  99.74467  99.83486  99.92497 100.12992  99.99500 100.19980 #>   [7078] 100.26964  99.84989  99.80982 100.06998  99.53391  99.96499  99.83486 #>   [7085] 100.24470  99.77475  99.84989  99.79980  99.54898 100.45397  99.89995 #>   [7092]  99.69955  99.79980 100.42908  99.97000  99.93498 100.30454  99.89494 #>   [7099] 100.42410 100.23472 100.04499 100.43904 100.08496  99.47864 100.35437 #>   [7106]  99.84989 100.20978 100.37430 100.18483  99.81984  99.92998  99.86491 #>   [7113] 100.16486  99.36297 100.51368 100.04999 100.52363  99.76973  99.94999 #>   [7120]  99.93498  99.63935 100.24969  99.95999  99.60924 100.13491  99.95999 #>   [7127] 100.18483  99.76973  99.81483 100.02500  99.99000  99.94498 100.22974 #>   [7134] 100.58330 100.33444 100.09995 100.81667  99.72462  99.55401 100.34441 #>   [7141]  99.99500  99.89995 100.44899 100.24969  99.63433  99.86491  99.92497 #>   [7148] 100.21477 100.30952 100.37928  99.82485 100.16986 100.13990 100.39920 #>   [7155] 100.01000  99.97000  99.56907  99.67949 100.10494  99.77976  99.76472 #>   [7162]  99.94999 100.24969  99.78477 100.24470  99.87993  99.91496 100.36434 #>   [7169]  99.66945  99.63935 100.31949  99.78978 100.32447  99.76472 100.02000 #>   [7176] 100.10494  99.72963 100.36434  99.90495  99.90495 100.52363  99.47361 #>   [7183]  99.78978  99.53894  99.89494  99.73465  99.38813 100.60318 100.20479 #>   [7190]  99.93498  99.77976 100.03499  99.37807  99.43842 100.34939 100.22475 #>   [7197] 100.05498 100.22475 100.80179  99.65440 100.17485  99.52889 100.07497 #>   [7204]  99.70958  99.94498 100.12992 100.24470  99.71459  99.44848  99.82986 #>   [7211]  99.60422 100.25468 100.04999  99.72963 100.05498 100.10494  99.66444 #>   [7218]  99.56907  99.93498  99.61426 100.11493 100.62306 100.01500 100.05498 #>   [7225]  99.49372 100.09495  99.81984 100.15987 100.11993 100.17485 100.50871 #>   [7232] 100.07997 100.51368 100.16986 100.21976  99.91496 100.31451 100.13491 #>   [7239]  99.65942  99.77976 100.03499  99.86491  99.92998 100.25468 100.16986 #>   [7246]  99.94498  99.83987 100.08496  99.93498 100.42410 100.06998  99.68952 #>   [7253] 100.04499  99.77976  99.51382  99.98500  99.66444 100.20978  99.94498 #>   [7260] 100.32447 100.43904  99.60924  99.25220  99.67447 100.68267  99.80982 #>   [7267] 100.51368  99.75470  99.77475  99.75971  99.97500  99.92998 100.25468 #>   [7274] 100.10994 100.05498 100.44401 100.21976 100.36932  99.99500 100.01500 #>   [7281]  99.89494 100.03000 100.17984 100.30952 100.11993 100.33942  99.50879 #>   [7288]  99.70456  99.64437  99.93498  99.88994 100.57336 100.46392 100.19980 #>   [7295] 100.09495 100.03999 100.20978 100.66280 100.08996  99.60422  99.92497 #>   [7302] 100.05998 100.31451 100.32946  99.82485  99.46356  99.99000 100.33444 #>   [7309] 100.41912  99.90495 100.05498  99.89995 100.03499 100.00000  99.62931 #>   [7316]  99.84488 100.17984 100.03999  99.52889 100.09995 100.24969  99.58916 #>   [7323] 100.63797  99.88994  99.97500 100.35935  99.83987  99.75470  99.88493 #>   [7330]  99.62931 100.20479 100.19980  99.94999  99.68952 100.20479 100.05498 #>   [7337]  99.90495 100.47388 100.05498  99.37807  99.99000 100.40418 100.23472 #>   [7344] 100.00500  99.69453  99.91997 100.42410  99.72963 100.08496 100.33444 #>   [7351]  99.77475  99.87492  99.79980  99.94498  99.76973  99.89995  99.68450 #>   [7358] 100.29955 100.18483 100.13491 100.55844 100.32946  99.91997 100.32946 #>   [7365]  99.68952 100.16986  99.93998 100.24969 100.59324 100.00500  99.64939 #>   [7372] 100.01500 100.09495  99.86491 100.00000 100.32946 100.09995  99.75470 #>   [7379] 100.11993 100.29457 100.19481 100.16486  99.47864 100.56341  99.79980 #>   [7386] 100.47388 100.54352 100.63797 100.09995 100.05498  99.99000  99.89995 #>   [7393]  99.96499  99.87492  99.50879  99.91496 100.09495  99.88994  99.78978 #>   [7400]  99.99500 100.04999  99.70958  99.99000  99.73465 100.29457  99.64939 #>   [7407] 100.31949  99.91997 100.22475  99.72963  99.93998  99.70958 100.26465 #>   [7414]  99.74969  99.74969 100.11993  99.46356 100.31949  99.69955  99.80982 #>   [7421]  99.79980  99.85489 100.29955 100.35437 100.20978 100.26465 100.22974 #>   [7428]  99.87993 100.03999  99.67949  99.71961  99.70958 100.23472 100.06498 #>   [7435] 100.19980  99.59920  99.96499 100.18483  99.51884 100.39920  99.87492 #>   [7442] 100.16486  99.92998  99.71459  99.68952 100.14490 100.34441 100.00500 #>   [7449]  99.76472 100.05998  99.98000  99.57409 100.63300  99.33277 100.40916 #>   [7456]  99.76472  99.91496 100.04499  99.92497 100.30454  99.81984 100.12992 #>   [7463] 100.02000 100.56341 100.19481 100.00000  99.48367 100.14490  99.84989 #>   [7470] 100.38924  99.99000 100.64293  99.81984  99.71961 100.46890 100.20479 #>   [7477] 100.03999  99.86491  99.83486 100.19980 100.32447 100.05498  99.93498 #>   [7484]  99.95499  99.69453  99.89995  99.99500 100.27462 100.25468 100.03999 #>   [7491] 100.20479  99.89995 100.12492 100.05498  99.61426 100.06998 100.16986 #>   [7498] 100.11993  99.85489  99.48367 100.19481 100.26964 100.51368  99.99500 #>   [7505] 100.28460  99.87993  99.98000  99.98500 100.13990  99.85990 100.05498 #>   [7512] 100.10494 100.12992 100.22974  99.97500 100.01000  99.96499  99.88994 #>   [7519]  99.97000  99.94999 100.04999 100.28460 100.00000 100.14490  99.78477 #>   [7526]  99.74969  99.63935  99.78477  99.83486 100.51368  99.94999 100.28460 #>   [7533]  99.66945 100.21976 100.19980 100.15488 100.03000  99.89494 100.68267 #>   [7540] 100.25468  99.79980 100.30454  99.83486 100.02500 100.03499  99.60924 #>   [7547]  99.76973  99.54396 100.23971  99.46356 100.43904  99.65440  99.55903 #>   [7554] 100.55347 100.25966 100.12992 100.03499  99.98000  99.94498 100.06498 #>   [7561] 100.18483 100.20978 100.25966  99.91496 100.30454 100.26465  99.98500 #>   [7568] 100.14989 100.20479  99.89494  99.85990  99.63935 100.21976  99.44345 #>   [7575] 100.41912  99.67447 100.18483  99.61928  99.49874 100.31949 100.02500 #>   [7582]  99.91496 100.38426  99.82986 100.33942  99.66444  99.63433  99.83486 #>   [7589]  99.97000 100.37928 100.39920 100.28460 100.12492 100.28460 100.33444 #>   [7596] 100.16486  99.99000 100.44401  99.50879  99.68450 100.41414  99.79479 #>   [7603] 100.06998 100.46890 100.52363  99.51884  99.77976  99.85990 100.20978 #>   [7610]  99.38310 100.22475  99.83987 100.12492 100.26465 100.58330 100.10494 #>   [7617]  99.87492  99.86491 100.26465  99.97500 100.58827  99.84989 100.41414 #>   [7624] 100.25966  99.96499 100.24969  99.30760  99.77475  99.94999  99.88994 #>   [7631]  99.76472 100.35935  99.88493  99.89995  99.82485 100.12492  99.87492 #>   [7638] 100.25966  99.93998 100.13491 100.01000  99.83486 100.41912 100.31949 #>   [7645]  99.80982  99.36800 100.35935 100.02000 100.54850 100.41912 100.15488 #>   [7652] 100.24969 100.24470  99.54898  99.98000  99.40322 100.04999 100.03499 #>   [7659] 100.30454  99.61426  99.76472 100.10494  99.71459 100.09495  99.99500 #>   [7666]  99.52387  99.68952  99.98500 100.00500  99.81984 100.33942  99.64437 #>   [7673] 100.17485 100.39422  99.55401 100.09995  99.67447  99.92497 100.04999 #>   [7680] 100.24969 100.15488  99.95999 100.09995 100.11493  99.70456  99.72462 #>   [7687]  99.78477  99.95999 100.02000 100.16986 100.17485 100.04499  99.54396 #>   [7694]  99.31264  99.58916 100.07497 100.12992  99.99000  99.71961  99.58414 #>   [7701]  99.64437  99.95999  99.84989  99.57911 100.01000  99.98000  99.97000 #>   [7708]  99.94498 100.36434  99.78978 100.40418 100.12492 100.20978  99.85990 #>   [7715]  99.69453  99.46859 100.13990  99.54396 100.02000 100.16486 100.40916 #>   [7722]  99.94999  99.66945 100.46392  99.61426  99.98500  99.64939  99.84488 #>   [7729] 100.29457 100.33942 100.39920 100.23472 100.31949 100.51368 100.03000 #>   [7736] 100.35935  99.82986  99.93998  99.42334 100.17984  99.70958 100.22475 #>   [7743] 100.08496 100.17485  99.97000 100.44401 100.16986 100.32447  99.92497 #>   [7750] 100.04999 100.07997  99.86992  99.87492 100.21976  99.69955  99.66945 #>   [7757] 100.00500  99.91496  99.50879 100.20479 100.50373  99.74969 100.23971 #>   [7764] 100.36932  99.91997  99.89995 100.30952 100.27961 100.25966 100.07997 #>   [7771] 100.38426  99.87993 100.24470 100.03999  99.65440  99.84989 100.13990 #>   [7778]  99.78978  99.66444 100.12992 100.08996 100.30952  99.69955 100.13990 #>   [7785]  99.42334  99.81984 100.53855  99.85489  99.39819 100.27961  99.94999 #>   [7792] 100.68764 100.35935  99.67949 100.23472 100.29457  99.79980 100.43904 #>   [7799]  99.62931 100.20978 100.20978 100.00500  99.97500 100.07497 100.31949 #>   [7806] 100.31949  99.94498 100.14989  99.73465  99.55903  99.77475  99.91997 #>   [7813]  99.86992 100.64293  99.75470  99.76973 100.07997  99.89995 100.15987 #>   [7820]  99.60924  99.79980 100.50871  99.70456  99.92497  99.92998  99.87492 #>   [7827] 100.03999  99.85990 100.38426  99.87492  99.45351 100.16486 100.01500 #>   [7834] 100.23971 100.64293 100.30454  99.92497 100.06498 100.40916 100.24470 #>   [7841]  99.77475 100.36434  99.80481 100.04499  99.63433  99.75470 100.25468 #>   [7848] 100.32447 100.38924  99.73465 100.03000  99.85990  99.77475 100.16486 #>   [7855]  99.59418 100.28460 100.37928 100.12492 100.14490 100.30454 100.06998 #>   [7862]  99.85990 100.41414  99.80982  99.96499 100.02000 100.15987 100.03000 #>   [7869] 100.64293  99.42837 100.38426  99.57409 100.09495  99.97500 100.31949 #>   [7876] 100.07997  99.79479  99.91496  99.98000 100.23472 100.31451 100.14490 #>   [7883]  99.83987  99.71459  99.59920 100.48881  99.65942 100.78690 100.52860 #>   [7890] 100.32447  99.74467 100.12492 100.05498  99.89995 100.17984 100.12992 #>   [7897] 100.44401 100.20479  99.73465  99.87993  99.97500 100.03999  99.77475 #>   [7904] 100.13990 100.10494 100.12492 100.33444 100.10494 100.09495  99.93998 #>   [7911] 100.06998  99.72462  99.89494 100.32946  99.91496  99.97000 100.03000 #>   [7918] 100.15488 100.21477 100.16986 100.16986  99.77976  99.95999  99.98500 #>   [7925]  99.77976  99.39819  99.65440  99.93498  99.65440 100.48881  99.88994 #>   [7932] 100.46890  99.34284  99.90495  99.76973 100.07997 100.18483  99.36297 #>   [7939]  99.67447  99.71961 100.10994 100.34939  99.45351  99.30257 100.22974 #>   [7946]  99.64939  99.82485  99.77976 100.08996 100.62803  99.63433  99.98000 #>   [7953] 100.47388  99.98500  99.74969 100.30952  99.98500 100.07997  99.47864 #>   [7960] 100.24969  99.80982  99.93498 100.02500 100.53358  99.59920 100.17984 #>   [7967]  99.93498 100.51865 100.17485  99.94999 100.47885 100.26465  99.76973 #>   [7974] 100.18982 100.36932  99.57409  99.60924  99.89995 100.14989 100.58827 #>   [7981] 100.47885 100.08496  99.77976 100.59324  99.93998  99.96499  99.46859 #>   [7988]  99.90996  99.93498 100.04499  99.84488 100.00000 100.37928 100.37928 #>   [7995]  99.82986  99.81984 100.04999 100.03000  99.62931 100.13491 100.33444 #>   [8002] 100.07997  99.83987  99.77976 100.25966  99.85990 100.12492  99.97000 #>   [8009]  99.87492  99.57911 100.20978 100.26964 100.17485 100.07497  99.84488 #>   [8016] 100.17485 100.08996 100.17485  99.91496 100.12992 100.45397  99.78477 #>   [8023] 100.41414  99.93998  99.85489 100.26465 100.03999 100.43904  99.66945 #>   [8030] 100.08996  99.68952  99.84989 100.27961 100.03999  99.83987  99.76973 #>   [8037]  99.67949 100.25966  99.87993  99.63433 100.37430 100.27462  99.80481 #>   [8044]  99.89494  99.76472 100.03000  99.53391  99.65942 100.57833  99.95999 #>   [8051] 100.11993  99.74467 100.41912 100.27961  99.91496  99.88493  99.64939 #>   [8058]  99.61426 100.06498  99.72963 100.33444 100.14989  99.38813 100.18483 #>   [8065]  99.58414 100.20978 100.12492 100.22475 100.23472 100.53855 100.25966 #>   [8072]  99.98000  99.87993 100.61809  99.69453 100.07497 100.20479 100.33444 #>   [8079] 100.43406 100.09995  99.65942 100.32946  99.85990  99.87492 100.03999 #>   [8086] 100.31451  99.82986 100.17485  99.94498 100.22974  99.80481 100.09995 #>   [8093]  99.52387 100.00000  99.97000 100.01500  99.59418 100.03499  99.75971 #>   [8100] 100.36932  99.68450  99.76472 100.22974 100.04999  99.95499  99.90495 #>   [8107]  99.89995  99.62931  99.87993  99.61928  99.26732 100.30952 100.29955 #>   [8114] 100.24969  99.94999  99.95999 100.14989 100.20978  99.97000  99.81984 #>   [8121] 100.15987  99.98000 100.06498 100.17485 100.35935  99.73465 100.08996 #>   [8128] 100.12992 100.23971  99.59920 100.00500  99.97000  99.90996 100.44899 #>   [8135] 100.20479 100.14989 100.15488 100.35437  99.43339 100.31949  99.86491 #>   [8142] 100.67274 100.05998 100.20479  99.96499  99.38813 100.21477 100.63797 #>   [8149]  99.60924 100.42908 100.19481  99.52387 100.40916 100.30952  99.94999 #>   [8156] 100.09995 100.31949 100.20978  99.49874  99.94498 100.07997  99.25220 #>   [8163] 100.09495  99.83987 100.32447 100.44899 100.14490 100.08496  99.92497 #>   [8170] 100.26465 100.15488 100.37430 100.10994  99.74969  99.38813 100.09495 #>   [8177]  99.45351 100.63797 100.44899 100.08996  99.98500 100.17485  99.95499 #>   [8184]  99.73465  99.74969  99.65942 100.24969  99.84989 100.01500 100.24470 #>   [8191]  99.95999 100.27462  99.67447  99.73465 100.00500  99.62429 100.05998 #>   [8198] 100.07997  99.64437 100.10494 100.14989 100.07497  99.58916  99.97500 #>   [8205]  99.84989  99.68952 100.14490 100.05498  99.93498  99.83486  99.79980 #>   [8212] 100.33444  99.88493  99.57409 100.02000  99.97500 100.10494 100.45895 #>   [8219] 100.10994 100.17984  99.68952  99.84989 100.23472  99.63935 100.31949 #>   [8226] 100.09495 100.53855 100.26964 100.38426 100.13990 100.14490  99.74467 #>   [8233] 100.04499  99.92497 100.19481  99.87993  99.78978  99.73465 100.12492 #>   [8240] 100.19980 100.39422 100.40418 100.02500 100.05498  99.99000 100.39422 #>   [8247] 100.18483 100.12492 100.22974 100.29457 100.20978  99.68450  99.88493 #>   [8254]  99.96499 100.03999 100.01000  99.98000  99.42837  99.93998  99.87993 #>   [8261] 100.04999  99.57409  99.76973 100.46890 100.29457  99.89494 100.34441 #>   [8268] 100.60815  99.53894 100.04499 100.06998 100.57833  99.95999  99.78477 #>   [8275]  99.54898  99.72462  99.57409  99.69453 100.03499 100.50871 100.10494 #>   [8282] 100.43406  99.92497 100.00500  99.89494 100.33444 100.58330  99.69453 #>   [8289] 100.23971  99.90996 100.06498  99.56405  99.71961 100.03999  99.98500 #>   [8296]  99.89995 100.79683  99.55401 100.21976  99.60924 100.35935 100.06998 #>   [8303]  99.80982  99.69453  99.88994 100.34939 100.09995  99.86491  99.68450 #>   [8310] 100.39920 100.36932 100.85138  99.34284  99.71961  99.63935  99.55903 #>   [8317]  99.94999  99.85990 100.75713 100.27462  99.78477 100.07997  99.63433 #>   [8324]  99.82986  99.82485  99.88994 100.26964 100.35935  99.95999 100.48881 #>   [8331] 100.50871 100.45397  99.77475  99.63935  99.61928 100.36434 100.18483 #>   [8338] 100.14989  99.83987 100.22475  99.89494  99.85990  99.45853 100.14989 #>   [8345]  99.72462 100.19481 100.23472  99.62931 100.34939 100.14989 100.21976 #>   [8352]  99.50377  99.88994  99.66444  99.91496  99.99500 100.23971 100.08496 #>   [8359] 100.16986 100.32946  99.89995  99.89995  99.92998 100.27462 100.14490 #>   [8366] 100.20479  99.83486  99.73966  99.97500  99.91997 100.21477 100.18982 #>   [8373] 100.28460  99.64939 100.11493 100.37430  99.44848 100.08996 100.12492 #>   [8380] 100.13990  99.60924 100.36434  99.91997 100.00500 100.10994 100.46890 #>   [8387] 100.03000  99.82485  99.84488  99.75971 100.54352  99.72963  99.85990 #>   [8394]  99.77475  99.96499  99.95999  99.84989  99.94498  99.90495 100.14989 #>   [8401] 100.35437  99.98000  99.94498 100.08496 100.24969  99.59418  99.35291 #>   [8408]  99.71961 100.59324 100.06498 100.02000  99.70456 100.33942 100.17984 #>   [8415]  99.91496 100.35437 100.01500 100.20978 100.26964 100.45397  99.55903 #>   [8422]  99.65942 100.01000  99.73966 100.15987 100.03499 100.14989  99.98500 #>   [8429] 100.21477 100.23971  99.70456 100.22974  99.64939 100.04499 100.02500 #>   [8436] 100.26465  99.96499 100.65784 100.47885 100.12492 100.05998 100.24969 #>   [8443] 100.52860  99.99000  99.87993  99.90495  99.61426 100.12992  99.55401 #>   [8450] 100.30454 100.25468 100.27462  99.73966  99.93998  99.90495  99.99000 #>   [8457] 100.25966 100.20978  99.83987  99.86992 100.11493 100.43406 100.20479 #>   [8464]  99.67447  99.97500 100.39920  99.71961 100.02500 100.45895  99.89995 #>   [8471] 100.33942 100.08496 100.26465 100.35437 100.16986  99.62429  99.90996 #>   [8478] 100.32447  99.84488  99.35291  99.83987 100.15987  99.99000  99.85990 #>   [8485]  99.77976 100.26964 100.04499 100.06498 100.04499  99.51884  99.89494 #>   [8492]  99.57911 100.42410 100.26964  99.82485  99.87492 100.71743  99.78978 #>   [8499]  99.45351  99.83486 100.05498 100.06498  99.35794 100.20479 100.19980 #>   [8506] 100.03499  99.85489  99.92497  99.81984  99.90495 100.22475  99.74467 #>   [8513] 100.23971  99.63935  99.79980 100.22475  99.57911 100.02000 100.31451 #>   [8520]  99.66444  99.83486 100.08996  99.79980  99.75470 100.22475 100.13491 #>   [8527]  99.93498  99.90996  99.85489 100.34939 100.28460 100.08996 100.44899 #>   [8534] 100.28460 100.40418  99.89494  99.79980 100.02000 100.01000  99.78477 #>   [8541]  99.74467  99.92497  99.67447  99.74467  99.80481  99.89995 100.33444 #>   [8548]  99.85990  99.59418 100.23472  99.34787  99.82485  99.93498 100.35935 #>   [8555] 100.34441  99.90996 100.06998 100.54352  99.84488 100.08496  99.99000 #>   [8562] 100.04999  99.68952 100.18982  99.81984 100.26465 100.17485  99.74969 #>   [8569] 100.19481  99.75971  99.91496  99.65942  99.81483 100.36932 100.04499 #>   [8576]  99.70456 100.35935 100.33942  99.90495 100.15987 100.23971  99.44848 #>   [8583]  99.43842  99.96499 100.21477  99.80982 100.19481  99.92497  99.34284 #>   [8590]  99.46859 100.02000  99.66945 100.01500 100.41912  99.93998 100.62306 #>   [8597]  99.69955  99.91496  99.73465  99.85990 100.12992 100.21976 100.42908 #>   [8604]  99.61426 100.19481 100.24470  99.81984  99.78978  99.73465  99.79980 #>   [8611]  99.79980  99.84989 100.44401  99.97500  99.98000 100.07497 100.19481 #>   [8618]  99.78978 100.02500  99.56907  99.97500  99.64437 100.16986 100.03000 #>   [8625]  99.56907 100.42908  99.78978  99.58414  99.73465  99.62429 100.28460 #>   [8632]  99.75470 100.46392  99.88493 100.18982  99.90495 100.00000 100.32946 #>   [8639] 100.10494  99.90996 100.22475  99.78978  99.59418  99.65440  99.68952 #>   [8646]  99.97000  99.98500 100.27462  99.82986  99.91997 100.22475 100.05498 #>   [8653] 100.46890 100.33444  99.47864  99.89494  99.54396  99.74467  99.97500 #>   [8660]  99.45853 100.16486  99.91997 100.24969  99.60422 100.18483 100.12992 #>   [8667]  99.72963 100.17485  99.90996 100.03000  99.78477 100.06998 100.25966 #>   [8674] 100.00000 100.11993 100.28460 100.01000 100.12992  99.84488 100.35437 #>   [8681] 100.03000 100.14490  99.59920  99.80982 100.22475  99.28746  99.49874 #>   [8688] 100.20978 100.44899  99.92998  99.87492 100.31451  99.47361 100.27462 #>   [8695]  99.72963  99.62931 100.42410 100.17485  99.59418 100.46890  99.93498 #>   [8702]  99.80481  99.83987 100.01500 100.28460  99.87492 100.02000 100.06498 #>   [8709] 100.16986 100.29955  99.77475  99.82986  99.94999 100.40418 100.06498 #>   [8716]  99.41328  99.46859  99.57911 100.05498 100.04999  99.61426  99.93498 #>   [8723] 100.62803  99.94498  99.93498  99.74969  99.44345  99.75470 100.44899 #>   [8730]  99.95499 100.03000 100.49876  99.93498 100.35437 100.21976  99.98000 #>   [8737] 100.19481  99.63935  99.86992  99.57409  99.89995  99.46859  99.73966 #>   [8744] 100.54850  99.64437 100.35437 100.21477 100.35437  99.38310 100.02000 #>   [8751]  99.95499 100.11993 100.09495  99.73966  99.87492 100.03499  99.94999 #>   [8758]  99.38310 100.15987 100.00500 100.13990 100.02000 100.02500 100.10494 #>   [8765]  99.93998 100.42908  99.48367 100.19481 100.29457  99.69955  99.82485 #>   [8772]  99.65440 100.67274  99.99000 100.00500 100.29955  99.38813 100.12992 #>   [8779]  99.66444 100.39422  99.70958  99.37807  99.82485  99.91997 100.06498 #>   [8786] 100.06498  99.84488 100.19481  99.81483 100.45397 100.14490  99.28243 #>   [8793]  99.62429  99.95999 100.09495 100.21976  99.67949 100.33444  99.85990 #>   [8800]  99.92998  99.76973  99.74969 100.44899 100.14989  99.76973 100.02000 #>   [8807] 100.32447 100.12992  99.55401 100.45895 100.01500  99.86992  99.64437 #>   [8814] 100.77698 100.11493  99.84488 100.10494 100.08996  99.61928  99.72462 #>   [8821]  99.41831 100.15987 100.03000 100.31451 100.12492 100.19481 100.08996 #>   [8828] 100.32946  99.84488 100.37430  99.90996  99.31767  99.90495 100.25966 #>   [8835]  99.83486  99.71961 100.00000 100.38924 100.04499  99.73966 100.24470 #>   [8842]  99.75971 100.34939 100.16486  99.77976 100.22475 100.18483  99.88493 #>   [8849]  99.76472 100.30454  99.58414 100.34939  99.81984 100.34939  99.90996 #>   [8856]  99.64437 100.04499 100.21976 100.10994  99.94498 100.21976  99.88493 #>   [8863]  99.50879  99.76472  99.99500 100.39422 100.46890 100.21477 100.54850 #>   [8870] 100.30454 100.09995 100.15987  99.92497  99.57409 100.20479  99.89494 #>   [8877] 100.24969  99.62429 100.46890 100.13491  99.85990  99.82485  99.94498 #>   [8884] 100.01000  99.74969  99.83486 100.07497 100.10994  99.94999 100.01500 #>   [8891] 100.00000  99.79980 100.32946 100.00500 100.09995 100.11993 100.01000 #>   [8898]  99.88493  99.54396  99.62429  99.86491 100.21477  99.78978  99.63433 #>   [8905] 100.35437  99.87993 100.02500  99.87993 100.11993 100.07997  99.85489 #>   [8912] 100.04999 100.51865  99.80982 100.11993 100.30952  99.72963 100.21477 #>   [8919]  99.56405 100.31949 100.21976  99.65942 100.06498 100.47388 100.23472 #>   [8926] 100.16986  99.66444 100.05498 100.56838  99.91496  99.57409  99.73465 #>   [8933] 100.09995  99.56907 100.38924 100.41912 100.18982  99.80982  99.67949 #>   [8940]  99.68450 100.12992  99.88994  99.93998  99.73465  99.67949 100.29457 #>   [8947] 100.07497 100.17984  99.61426  99.58916 100.06498  99.60422  99.95999 #>   [8954] 100.03999  99.88493 100.47885  99.54898 100.31949  99.97000 100.19481 #>   [8961]  99.97000 100.21976  99.58916 100.57336  99.65440 100.01500  99.98500 #>   [8968]  99.85990 100.24470  99.95499 100.28460  99.69453 100.03000  99.99500 #>   [8975]  99.82485  99.99500  99.48869 100.22475  99.93498 100.21477  99.99000 #>   [8982]  99.72462 100.26964  99.86992  99.82986 100.14490  99.91997 100.00000 #>   [8989]  99.84989  99.62931 100.05998 100.21976  99.98000  99.97500  99.92497 #>   [8996]  99.98000 100.24470  99.50377 100.17485  99.49874  99.83486  99.75470 #>   [9003] 100.19481 100.16986  99.60422  99.84989 100.06998  99.92998  99.82485 #>   [9010]  99.79479  99.94498  99.72963 100.19481 100.52860  99.70958 100.29955 #>   [9017] 100.05498  99.82986 100.26465  99.90996 100.16486 100.03999  99.92998 #>   [9024] 100.00500  99.85990 100.43904  99.95999 100.11493 100.06498  99.95999 #>   [9031] 100.23971 100.15987 100.55347  99.70958 100.00000 100.24470  99.72963 #>   [9038]  99.67447 100.14989 100.47885 100.34441 100.20479  99.47361 100.17485 #>   [9045]  99.68450 100.30454  99.67949  99.68450  99.43842  99.61426  99.61426 #>   [9052]  99.87492 100.19980 100.27961  99.36297 100.67274 100.31949 100.07997 #>   [9059]  99.69955  99.98500 100.29955  99.75971 100.08996 100.32946  99.57409 #>   [9066]  99.69453  99.61928  99.89494 100.20479 100.05998  99.75971 100.35437 #>   [9073]  99.95999 100.26465  99.80982  99.77976  99.52387 100.16486 100.03999 #>   [9080] 100.12492  99.73465  99.90495  99.94999  99.83987 100.38426  99.61426 #>   [9087]  99.83987 100.06498  99.95499 100.16986 100.22974  99.70456 100.04999 #>   [9094] 100.04499  99.78978 100.38426 100.54850  99.67949 100.36434 100.15987 #>   [9101] 100.09995 100.24969  99.32271 100.08996 100.51865  99.67447 100.13491 #>   [9108] 100.23472 100.09995 100.15488  99.59920  99.62429 100.27462  99.49874 #>   [9115] 100.03999  99.84488  99.87993 100.19980  99.84989 100.19980  99.62931 #>   [9122] 100.00500 100.27462 100.35437  99.73966 100.21976 100.31949 100.22974 #>   [9129]  99.83987  99.72462 100.12492  99.90495  99.59418 100.34939 100.15987 #>   [9136]  99.77475 100.12992 100.08496  99.84488  99.85990  99.72963 100.31949 #>   [9143]  99.86992  99.82986 100.10494 100.21477 100.32946  99.77976 100.55347 #>   [9150]  99.99000  99.29250 100.07997 100.14490  99.33781  99.55903  99.88493 #>   [9157] 100.49876 100.20479 100.31451 100.49876  99.67949  99.65440 100.14490 #>   [9164] 100.08496 100.39920  99.95499  99.77976  99.63433 100.49378  99.96499 #>   [9171]  99.84989 100.38924 100.08496  99.88493  99.70456 100.04499  99.99000 #>   [9178] 100.23472  99.74467 100.10994  99.87492 100.36434 100.54352  99.58414 #>   [9185]  99.49372  99.75470 100.06498 100.04499  99.60422 100.50373 100.19481 #>   [9192]  99.92497 100.05998  99.34787 100.53358 100.14989  99.99000  99.90996 #>   [9199]  99.72963 100.11993 100.06498  99.65440 100.22974  99.50377 100.02500 #>   [9206]  99.87993 100.30952  99.97500 100.40916  99.77475 100.34939 100.02000 #>   [9213]  99.92998 100.10994  99.98500  99.63935 100.50373  99.84989 100.26964 #>   [9220]  99.90495  99.77976  99.62429  99.92998  99.92998  99.93998  99.82485 #>   [9227] 100.06498 100.36434 100.50373  99.91496 100.17984  99.79980  99.93498 #>   [9234] 100.35437  99.98500 100.65287 100.64293 100.05998 100.00500  99.88994 #>   [9241]  99.98000 100.05498 100.16486  99.49874 100.03000 100.25966  99.65942 #>   [9248] 100.05998  99.74969 100.23472 100.10994 100.32946  99.95999 100.47885 #>   [9255]  99.97500  99.93998  99.97500 100.11493 100.16986  99.47864  99.67949 #>   [9262] 100.31451 100.25468  99.84989  99.93998  99.92497 100.09995  99.86491 #>   [9269]  99.64437 100.04999  99.45853 100.22475 100.05998  99.91997  99.40322 #>   [9276] 100.17984 100.01000  99.97500 100.40418 100.05498  99.92497  99.80481 #>   [9283]  99.53894 100.16986 100.23472  99.77976 100.06498 100.11993  99.54898 #>   [9290]  99.92497 100.03999  99.55903  99.67949 100.26964 100.50373 100.00500 #>   [9297]  99.62931 100.28460 100.00000 100.55347 100.10494 100.41414  99.58414 #>   [9304]  99.77475  99.76472 100.00500 100.19980 100.14490  99.54396 100.36434 #>   [9311]  99.56907 100.14989  99.69955  99.86992  99.60422  99.70958  99.76973 #>   [9318]  99.97500 100.10994  99.74969 100.18982 100.02500  99.70958 100.34939 #>   [9325]  99.88994  99.75470  99.95499  99.79980  99.97500  99.78477  99.76973 #>   [9332] 100.20978 100.16986 100.01500  99.61928  99.76472  99.90495  99.94498 #>   [9339] 100.23971  99.86992  99.60422  99.91997  99.86491 100.44899 100.06998 #>   [9346] 100.02500 100.58330  99.91496 100.36932  99.47864  99.55401 100.03499 #>   [9353]  99.75470 100.44899 100.10994 100.28460 100.21477 100.32946  99.57911 #>   [9360] 100.34441  99.77475 100.66777  99.90996 100.03499  99.74467 100.56341 #>   [9367] 100.27462  99.69453 100.10494  99.92497 100.02000 100.39422  99.85489 #>   [9374] 100.05998 100.18982 100.27462  99.62931  99.86491  99.41831  99.72963 #>   [9381]  99.91997 100.18483 100.41414 100.41912  99.60422  99.97000 100.24470 #>   [9388]  99.70958 100.25468 100.11993 100.32447  99.68952  99.63433  99.47361 #>   [9395]  99.71961  99.93498 100.61312 100.20479  99.94999 100.24969  99.93498 #>   [9402]  99.57409  99.83486  99.86491  99.29250  99.80982  99.45351  99.45853 #>   [9409]  99.50377 100.09495 100.14490 100.24470  99.78477  99.71961 100.22974 #>   [9416] 100.01000 100.42410 100.43406  99.52387  99.89995 100.24969  99.88994 #>   [9423]  99.93998 100.13491 100.18483 100.32447  99.99000  99.93998 100.10994 #>   [9430]  99.93498  99.63433  99.93498  99.91997  99.97000  99.97000  99.85990 #>   [9437]  99.59920 100.52363  99.88493 100.27961  99.66945 100.01000 100.15987 #>   [9444] 100.23472 100.22974 100.49378  99.80982 100.01500 100.48881 100.47885 #>   [9451] 100.18483  99.66945 100.00000 100.46890  99.83486 100.04999 100.37928 #>   [9458]  99.83987  99.64437  99.66945  99.72963  99.93998 100.10494  99.69955 #>   [9465] 100.00000 100.57336  99.90495 100.60318 100.03000  99.75470 100.19980 #>   [9472]  99.39819 100.11993 100.10494 100.18982 100.18982 100.60318  99.68952 #>   [9479]  99.83486 100.23971 100.25468 100.15987  99.99000  99.77976  99.85990 #>   [9486]  99.60924  99.73465  99.86992  99.80982 100.34441  99.97500 100.01000 #>   [9493]  99.82485 100.38924 100.05998  99.90495  99.86992 100.20479 100.16486 #>   [9500]  99.80481  99.68952 100.38924  99.95999 100.28460  99.96499  99.95999 #>   [9507] 100.45895  99.87492 100.04999 100.01500 100.28460 100.13990  99.81483 #>   [9514]  99.76973 100.49378 100.03499 100.10994  99.87993  99.44345  99.87492 #>   [9521]  99.78978 100.31451  99.82986  99.84989 100.40916  99.30257 100.35935 #>   [9528] 100.16486 100.11993  99.33277 100.67770 100.59324 100.42908 100.08496 #>   [9535] 100.61809 100.11493 100.41414  99.52889  99.82986 100.45397  99.83987 #>   [9542]  99.54898  99.62931 100.30952 100.25966  99.70958  99.61928 100.17485 #>   [9549] 100.34939 100.08496  99.58414  99.70456 100.26964  99.82986  99.87492 #>   [9556]  99.88994  99.72963 100.03000 100.17984 100.22974 100.37928 100.40916 #>   [9563] 100.02500 100.69260  99.92998 100.25966 100.01000 100.02000 100.21477 #>   [9570] 100.32946 100.07997 100.32946  99.88994 100.16986 100.72239 100.45895 #>   [9577]  99.80481 100.10994 100.03999 100.02500  99.80982  99.57409  99.63935 #>   [9584]  99.88994 100.36434  99.99000  99.51884 100.11493  99.84488 100.10494 #>   [9591] 100.23971  99.79980  99.86992  99.77475  99.36800 100.43406 100.09995 #>   [9598]  99.44345 100.54850  99.60422 100.37430 100.15987 100.63797 100.66777 #>   [9605]  99.49874 100.05498 100.09495  99.72462  99.46859  99.41328  99.83486 #>   [9612] 100.66777  99.41831 100.41414 100.01000  99.50377 100.02000  99.71961 #>   [9619]  99.56405 100.12992  99.69453 100.07997 100.18483 100.03499 100.03000 #>   [9626]  99.75470 100.49876 100.22974  99.87993  99.70958 100.15488 100.37928 #>   [9633]  99.87492  99.62931 100.02500 100.08496  99.55401  99.97000  99.44345 #>   [9640] 100.47885  99.60422  99.88493 100.02000 100.34441  99.85990 100.07497 #>   [9647]  99.95999  99.90495 100.13990 100.12492  99.94999 100.07497 100.28460 #>   [9654]  99.76973  99.41328  99.80982 100.36434  99.40322 100.20479 100.01500 #>   [9661] 100.10994  99.87993 100.31949 100.07497 100.17485 100.00500  99.99000 #>   [9668]  99.70456 100.03999 100.04999 100.38426  99.91496 100.04999 100.13491 #>   [9675] 100.26465 100.23472 100.67770  99.94498 100.09495  99.69955  99.83987 #>   [9682]  99.42837  99.76472 100.03499 100.25468 100.32946 100.17485  99.62429 #>   [9689] 100.07497  99.76472 100.40418  99.63433 100.22475 100.07997  99.82485 #>   [9696] 100.06498 100.57336  99.57409  99.58414 100.40418 100.27961  99.59418 #>   [9703]  99.40825  99.62931 100.52363 100.36434 100.40418  99.92497  99.98500 #>   [9710] 100.21477  99.94498 100.11993  99.96499 100.36932  99.84989 100.12492 #>   [9717] 100.27462 100.16986  99.85489 100.18982  99.79479  99.81984  99.70958 #>   [9724]  99.94999  99.46356 100.53855 100.14490 100.10494 100.57336 100.22475 #>   [9731] 100.25966 100.30454  99.97000 100.17485 100.11993  99.65942 100.31451 #>   [9738] 100.03000 100.44899  99.69453  99.83486  99.70456 100.18483  99.75971 #>   [9745] 100.38924  99.66945  99.48367  99.62429 100.20978  99.98000  99.72462 #>   [9752] 100.03000 100.14989 100.07997  99.93498 100.30454 100.03499  99.93498 #>   [9759]  99.56405 100.18982  99.80982  99.96499 100.16486 100.30952  99.85990 #>   [9766]  99.67949 100.00000  99.78978  99.71961  99.87993  99.85990 100.09995 #>   [9773]  99.87492  99.90495  99.61426 100.31949 100.01000 100.19481  99.45853 #>   [9780] 100.02500 100.29955  99.77976 100.31451 100.19481 100.33942  99.58414 #>   [9787] 100.23971  99.98500  99.84488 100.40916 100.47388 100.10494 100.03499 #>   [9794]  99.94498 100.28958  99.83987 100.06498  99.88493  99.60924 100.13990 #>   [9801]  99.88493 100.21477 100.37430  99.92497  99.93998  99.94498  99.65942 #>   [9808] 100.41912  99.90996 100.69757 100.20978  99.72462  99.99500  99.88994 #>   [9815]  99.65942  99.55903  99.66444 100.01000 100.44899 100.18483 100.02500 #>   [9822]  99.80481  99.74969  99.77475 100.21477  99.58916 100.03499  99.89494 #>   [9829] 100.10494  99.58414  99.97500 100.39920 100.27961  99.50377  99.84488 #>   [9836]  99.80982  99.85990  99.91496  99.56405  99.79479 100.00500 100.59821 #>   [9843]  99.64939 100.24470  99.95999 100.57336  99.96499  99.69955 100.01000 #>   [9850]  99.98000 100.48881  99.66945 100.11493 100.39422  99.93998 100.30454 #>   [9857] 100.12492 100.27462 100.11493 100.00500  99.89494 100.31949  99.79980 #>   [9864] 100.06498  99.44345 100.10494  99.95999 100.25468 100.10994  99.79479 #>   [9871] 100.16486  99.61928 100.01000  99.87492 100.10494 100.03999 100.66280 #>   [9878]  99.68952 100.07997  99.95999  99.68450 100.06998 100.02500 100.36434 #>   [9885]  99.43339 100.27961 100.42908 100.28460  99.99000  99.93998 100.51865 #>   [9892]  99.68450 100.19980  99.87993  99.98500  99.90495  99.73465  99.94999 #>   [9899] 100.11493  99.68952  99.74969 100.27961  99.98500 100.08496 100.34939 #>   [9906] 100.02500  99.78477  99.69453 100.01000 100.35935 100.03999  99.99500 #>   [9913]  99.77475 100.33444  99.79980 100.10494  99.81984 100.09995 100.12492 #>   [9920] 100.42410 100.53855 100.01500  99.87492  99.90996  99.58916 100.53855 #>   [9927] 100.46890 100.19980  99.63935 100.17984  99.70456  99.83987 100.34939 #>   [9934]  99.71459 100.15488  99.75470  99.55903  99.89995 100.05498 100.00500 #>   [9941]  99.26732  99.27739  99.46859  99.59418 100.32447  99.45853 100.23472 #>   [9948]  99.83486  99.97000  99.77475 100.39920  99.51382 100.19481  99.60422 #>   [9955] 100.20479  99.92998 100.21976 100.28958 100.49876  99.77976 100.02000 #>   [9962] 100.15987  99.81483 100.24470 100.27462 100.34441 100.00500 100.24969 #>   [9969] 100.34939 100.48881  99.91997  99.78477  99.94999 100.16486  99.89494 #>   [9976]  99.72462 100.39920  99.51382  99.87492  99.68450  99.87492 100.31451 #>   [9983]  99.89494  99.99000  99.70456 100.00500 100.04999  99.49874 100.30952 #>   [9990]  99.66945 100.06998 100.04999 100.02500 100.49378  99.62429  99.99000 #>   [9997] 100.27961 100.03999  99.31767  99.92497  99.74467  99.75971  99.91997 #>  [10004] 100.12992 100.18483 100.26964  99.49372 100.41912  99.80982 100.55844 #>  [10011]  99.93998  99.85489 100.31949 100.09495  99.88994 100.09995 100.23472 #>  [10018]  99.63935  99.75971  99.91997  99.90996  99.83486  99.97000 100.29955 #>  [10025]  99.87993 100.11493 100.19481  99.74969  99.72462  99.95999  99.76472 #>  [10032] 100.04999  99.58916  99.88994  99.88493  99.99500 100.29955  99.66444 #>  [10039] 100.09495  99.99500  99.70456 100.31949 100.14989  99.65440  99.91997 #>  [10046]  99.82485 100.16986 100.00500  99.98500  99.87492 100.28460 100.08996 #>  [10053]  99.27739  99.92497 100.16486  99.57409  99.56405  99.95999  99.95499 #>  [10060] 100.23472 100.11993  99.55401 100.24470 100.32946  99.95999 100.10994 #>  [10067]  99.99000 100.04999 100.52363 100.59324 100.33942  99.88994  99.83987 #>  [10074]  99.73966  99.85990 100.42410  99.67949  99.70958  99.69955  99.90996 #>  [10081] 100.07997 100.10494 100.15987  99.94999  99.75470 100.09495 100.66280 #>  [10088] 100.01500  99.40825  99.87492 100.03499 100.26964 100.17485 100.23472 #>  [10095]  99.78477 100.00000 100.04499  99.93998  99.76973 100.02000 100.05498 #>  [10102] 100.24969  99.75470  99.62931 100.37430  99.57409  99.98000 100.40418 #>  [10109] 100.32946 100.54352 100.30952  99.17661  99.46859  99.93998  99.30257 #>  [10116]  99.72963 100.59821 100.26964 100.21976 100.24969 100.08996 100.06498 #>  [10123]  99.68952  99.82485 100.23971 100.12492  99.78978  99.47864  99.84989 #>  [10130] 100.13990  99.38813 100.04999 100.36434  99.89995  99.95499 100.35935 #>  [10137] 100.06998 100.08996 100.46392  99.76973  99.82986 100.15488  99.97500 #>  [10144] 100.50373  99.69453 100.07497  99.75971 100.08996  99.72462 100.11993 #>  [10151]  99.75971 100.26964 100.46890  99.43339  99.87492  99.88493 100.31451 #>  [10158]  99.82986 100.14490 100.22974 100.17984 100.04999  99.93498 100.00500 #>  [10165] 100.15987  99.98000 100.03000 100.54352 100.06998  99.64437 100.16986 #>  [10172]  99.81483  99.68450 100.28460  99.97000  99.89494 100.24969  99.98500 #>  [10179]  99.74969  99.85990 100.40916 100.41912 100.49378 100.23971 100.18483 #>  [10186]  99.57409  99.96499  99.92998  99.81483  99.82986 100.24470 100.40916 #>  [10193]  99.92497  99.49874 100.72239 100.36434  99.65942 100.19481  99.82986 #>  [10200]  99.84488  99.55401 100.41414  99.90495 100.49876  99.92497 100.11493 #>  [10207]  99.86491 100.40916  99.92998  99.82986 100.06498 100.18982  99.97500 #>  [10214] 100.23971 100.40418  99.90495 100.50871 100.25468  99.91496 100.01500 #>  [10221] 100.02000 100.08496  99.97500  99.62931  99.73465  99.68952 100.19481 #>  [10228]  99.56907 100.03999 100.34441  99.41328 100.23472 100.00000  99.73465 #>  [10235]  99.80982  99.45853  99.76973 100.13990  99.47864 100.28958  99.61426 #>  [10242]  99.77475 100.01000  99.59418  99.64939  99.83987  99.58414  99.81483 #>  [10249] 100.26964  99.89995  99.77976 100.02500 100.17984 100.23971 100.44401 #>  [10256]  99.51884  99.65942 100.42908 100.33444  99.79479 100.02000 100.41912 #>  [10263]  99.73465  99.82986  99.83486 100.58330  99.70456  99.66444  99.98000 #>  [10270] 100.01000 100.36434 100.09995 100.11993 100.09995 100.08996  99.68450 #>  [10277] 100.29955  99.87492 100.07997  99.97000  99.94498 100.17984  99.74467 #>  [10284] 100.39422  99.99500  99.70958  99.87492 100.15987 100.33942 100.08496 #>  [10291]  99.78978  99.63935  99.63935 100.31949 100.24470  99.60924 100.29955 #>  [10298] 100.00500 100.31949  99.58916  99.81984 100.18483  99.61928 100.15488 #>  [10305]  99.80982 100.15987 100.25966  99.64437 100.34441 100.21477 100.10994 #>  [10312] 100.43904  99.50879 100.22974 100.33942 100.37928 100.18982 100.07997 #>  [10319] 100.01500  99.79479  99.73465 100.10994  99.86992 100.20479  99.57911 #>  [10326]  99.80982 100.42410 100.36932 100.25468 100.32447 100.00000 100.29457 #>  [10333]  99.48367 100.29457 100.03000 100.16486  99.88994 100.21976 100.17984 #>  [10340] 100.15987  99.68952  99.97000 100.24470  99.89494  99.69955 100.40916 #>  [10347]  99.93998 100.18982  99.82485 100.16486  99.23709  99.88493 100.36434 #>  [10354] 100.31451 100.09995 100.19481 100.03000  99.90495 100.12492  99.67949 #>  [10361]  99.49372  99.91496 100.55844  99.88493  99.53894  99.44848  99.77475 #>  [10368] 100.09995  99.86992 100.18483 100.07997  99.86992 100.02000 100.65287 #>  [10375] 100.01000 100.26465 100.29457 100.35935 100.28460  99.80481 100.32946 #>  [10382]  99.83486 100.28460  99.89995 100.14490 100.08496  99.70456  99.92497 #>  [10389]  99.98500 100.07497 100.53855 100.08996  99.79980  99.66945 100.62803 #>  [10396] 100.29955  99.55903 100.63797  99.81984 100.52860 100.08996  99.48367 #>  [10403]  99.55401 100.16986  99.67949 100.05498  99.61928  99.63433  99.73966 #>  [10410]  99.98500  99.98000 100.10494 100.15987  99.88994  99.92497  99.82485 #>  [10417] 100.31949 100.32447  99.82986  99.82986 100.38924  99.65440  99.57911 #>  [10424]  99.30257  99.79479  99.82485  99.54898 100.07997  99.65440  99.67447 #>  [10431]  99.90495 100.00000 100.06498 100.50373  99.82485 100.06998 100.11993 #>  [10438] 100.11493 100.26964 100.24969 100.07997  99.92998 100.20479 100.00000 #>  [10445]  99.72963 100.17485  99.69955 100.34441  99.91997  99.81483 100.09995 #>  [10452]  99.48869  99.88994 100.40916 100.13491  99.89494 100.13491  99.69955 #>  [10459] 100.40418 100.52363  99.79479  99.62429 100.21976  99.83486  99.58414 #>  [10466] 100.37430  99.78477  99.48367  99.47864  99.93998 100.39422  99.98500 #>  [10473] 100.37928  99.94498  99.84989  99.59418  99.99500 100.20978  99.68450 #>  [10480]  99.97000  99.99000  99.87993 100.19980  99.76973  99.94999 100.16486 #>  [10487] 100.27961 100.11493  99.94498 100.18982 100.00500 100.32946  99.82485 #>  [10494] 100.35437  99.54898 100.33942  99.58916  99.82485 100.18982 100.55844 #>  [10501]  99.88994  99.89995 100.38924  99.92497 100.52363 100.17485  99.79980 #>  [10508]  99.73966 100.11993  99.99000  99.78477  99.76973  99.83987  99.86491 #>  [10515] 100.03499  99.71961  99.90495 100.16986  99.95999  99.99500 100.09995 #>  [10522]  99.98000 100.39422 100.17984 100.02500  99.72462  99.84488 100.21976 #>  [10529]  99.75971  99.72462  99.65942 100.02000  99.73966  99.49874  99.84488 #>  [10536] 100.20479 100.18483  99.95499  99.87993 100.33942 100.11493  99.86992 #>  [10543]  99.54396  99.36297  99.60422 100.05498 100.22475  99.91496  99.72963 #>  [10550] 100.47388  99.75971  99.67949  99.84488 100.08996 100.11993  99.74467 #>  [10557] 100.20978 100.10994 100.63300  99.37807 100.18982 100.05498  99.52387 #>  [10564] 100.16486 100.22974  99.66444  99.66444 100.13990 100.14490 100.33942 #>  [10571] 100.36932  99.51382 100.94553  99.99500  99.76472  99.77475 100.13491 #>  [10578]  99.93498 100.40418 100.24470 100.01000  99.87492 100.37430 100.43904 #>  [10585]  99.96499 100.19980 100.19481  99.62429  99.74467  99.60924  99.59920 #>  [10592]  99.44345  99.69955 100.22974  99.82986 100.31949 100.68764  99.51382 #>  [10599]  99.82986  99.82485  99.94999  99.76973  99.97500 100.05498 100.21477 #>  [10606]  99.91997 100.26465  99.90996 100.12992  99.80982 100.16986 100.07997 #>  [10613] 100.08996  99.96499 100.32447 100.00500 100.22974 100.06498  99.93998 #>  [10620]  99.83987  99.71459  99.36297 100.36434  99.33781  99.79479 100.11993 #>  [10627]  99.93498 100.25966  99.72963 100.21477  99.76472  99.76973  99.39819 #>  [10634]  99.70958  99.90996 100.15987 100.11993  99.36297 100.14490 100.23472 #>  [10641] 100.28958  99.93998  99.87993 100.03999 100.15488 100.26964  99.86992 #>  [10648] 100.94058  99.90495  99.50377  99.89494  99.78477 100.12992 100.30952 #>  [10655] 100.18982 100.42410  99.92998  99.74969  99.80982  99.85489 100.14490 #>  [10662] 100.25966  99.72963  99.86491  99.83486 100.35935  99.72963  99.78978 #>  [10669]  99.90996 100.02500  99.67447  99.76472 100.01000 100.48881 100.20978 #>  [10676]  99.77976 100.10994 100.10994  99.72462 100.14989 100.60318 100.47388 #>  [10683] 100.06498 100.03499  99.90996  99.87993  99.52387  99.94498 100.10994 #>  [10690] 100.15488  99.29250 100.42908  99.58916  99.28746 100.14490  99.58414 #>  [10697]  99.92998  99.87492 100.01500 100.24470 100.69260  99.97000 100.39920 #>  [10704] 100.03000  99.98500  99.64437 100.13491  99.71459  99.95499 100.29955 #>  [10711] 100.60815 100.13990  99.54898 100.71743 100.03999  99.56405 100.00000 #>  [10718]  99.48367  99.90495  99.91997 100.20479 100.06998 100.15488 100.46890 #>  [10725]  99.86491 100.69757 100.06498  99.97500 100.30454 100.46392 100.29955 #>  [10732]  99.74969  99.61928 100.08496 100.35935 100.69260 100.11993  99.97000 #>  [10739]  99.96499  99.87492  99.91496 100.10494  99.87993 100.12992  99.70958 #>  [10746] 100.12492  99.99500 100.11993  99.31767  99.74467  99.78978 100.23971 #>  [10753] 100.14490 100.77698 100.31949 100.02500 100.03499  99.52387  99.91496 #>  [10760] 100.04499 100.13491 100.16486 100.26465  99.49372 100.18483 100.08496 #>  [10767]  99.85489  99.94498 100.04999  99.78477 100.39920  99.80481  99.94999 #>  [10774]  99.80982  99.91997 100.19980 100.01000 100.24969 100.45895 100.09495 #>  [10781] 100.54352 100.04999 100.25468  99.93998  99.83486  99.97500 100.12492 #>  [10788] 100.15488  99.76472  99.77475 100.28958  99.78477 100.60318 100.02000 #>  [10795] 100.07497 100.39920  99.89995 100.60318  99.88493 100.00000 100.02500 #>  [10802] 100.07997  99.69955 100.51865 100.05998 100.06998 100.00500 100.12492 #>  [10809]  99.73465  99.93498 100.27462  99.72963  99.90495  99.56405 100.13491 #>  [10816]  99.98500  99.90495 100.24470 100.39422 100.10994 100.03000  99.80982 #>  [10823] 100.16486  99.71961 100.23971 100.28460 100.10994 100.04499  99.83486 #>  [10830]  99.82485 100.26964  99.69955  99.85990  99.99000  99.70958 100.45397 #>  [10837]  99.87993  99.56907  99.90996  99.97000  99.74467  99.89995 100.11993 #>  [10844] 100.40916 100.06998 100.39920 100.25468  99.77976 100.19481 100.25468 #>  [10851] 100.27462  99.86491 100.31949  99.82986  99.56405  99.91496  99.73465 #>  [10858]  99.87492 100.32946  99.70456 100.28460  99.63433  99.78978 100.15488 #>  [10865]  99.70958 100.24969  99.93998  99.67949 100.27462 100.13990  99.84989 #>  [10872] 100.38426 100.31949  99.86491  99.84989  99.60924 100.03499  99.80982 #>  [10879]  99.78978 100.38426 100.37430  99.97500 100.42908  99.70456 100.08496 #>  [10886]  99.75470  99.41831 100.11993  99.68952  99.72963  99.51884 100.26465 #>  [10893] 100.18483 100.05998 100.40916  99.87492  99.92998 100.19481  99.94999 #>  [10900] 100.40916  99.80982 100.08996  99.67949 100.34441  99.98500 100.17984 #>  [10907]  99.82986 100.54352  99.75971 100.42908  99.94498  99.64939  99.64939 #>  [10914] 100.40916  99.75971  99.67949  99.49874 100.25468 100.45895  99.98000 #>  [10921] 100.49378 100.28958  99.54898  99.81984  99.67447 100.17984  99.88994 #>  [10928]  99.57911  99.90996 100.01500  99.94498 100.26465  99.80481  99.64939 #>  [10935] 100.08496 100.53855  99.94498 100.07497  99.92998 100.14490 100.04999 #>  [10942] 100.38924 100.12492  99.82485 100.18982  99.99500  99.87492 100.61312 #>  [10949]  99.80982 100.32946  99.82986 100.03499 100.18982  99.81483  99.64939 #>  [10956]  99.75470  99.74969  99.80481 100.29955 100.10994 100.42410 100.11993 #>  [10963] 100.66777 100.44401 100.31451  99.76973  99.93998 100.44899  99.87492 #>  [10970]  99.92497  99.73465 100.10994 100.31949 100.24470 100.33444  99.95999 #>  [10977] 100.50373  99.80481 100.22974  99.58916  99.77475  99.59418  99.74467 #>  [10984] 100.24470 100.33942  99.78477 100.26465  99.66945  99.99000  99.65440 #>  [10991] 100.11993 100.08996 100.33942 100.06998  99.35291 100.00000 100.20978 #>  [10998] 100.32447  99.84989  99.83486 100.19481 100.09995 100.08996  99.58414 #>  [11005]  99.88493 100.10994  99.68952  99.78978  99.84488  99.77475  99.85489 #>  [11012] 100.11493 100.56341 100.13990 100.40418 100.09995  99.93998  99.57409 #>  [11019] 100.23971 100.00500  99.75470  99.89995 100.30454  99.54898  99.88994 #>  [11026]  99.82986 100.20978 100.20479  99.76973 100.28958  99.88493 100.31949 #>  [11033] 100.13990 100.34939  99.71961 100.28460 100.63797  99.36800 100.08996 #>  [11040] 100.29955  99.81984 100.04999  99.95499  99.92497  99.54396  99.82986 #>  [11047] 100.60815 100.12992 100.27961 100.37430  99.90495 100.36434  99.73465 #>  [11054]  99.89494 100.14490 100.07997  99.80481  99.79980  99.66444 100.58330 #>  [11061]  99.60422 100.84146  99.99000  99.77976 100.42908  99.68450 100.19980 #>  [11068]  99.83987 100.41414 100.01500 100.36434 100.62803  99.67949 100.06998 #>  [11075]  99.89494  99.53391 100.37928  99.66945 100.40916  99.73966  99.79980 #>  [11082] 100.34441 100.15987 100.52363  99.92497  99.66444 100.38426  99.98500 #>  [11089] 100.16986 100.01000  99.64437 100.31451 100.43406  99.76472  99.98000 #>  [11096] 100.00500  99.56907 100.24969 100.24969  99.78477 100.44899 100.55347 #>  [11103] 100.00000  99.64939 100.19980  99.97000  99.94999 100.50871 100.57833 #>  [11110] 100.26465  99.90996  99.94999  99.27235  99.33277 100.09495 100.32946 #>  [11117] 100.22475 100.48881 100.24470 100.23472 100.30952  99.95499 100.30952 #>  [11124]  99.66444  99.88994  99.80481  99.76472 100.12492  99.65942  99.83486 #>  [11131] 100.36434 100.03999  99.93998 100.59324 100.41414  99.80982  99.94999 #>  [11138]  99.56907  99.98000 100.15987  99.41831  99.75470  99.58414  99.67949 #>  [11145] 100.36434 100.55347 100.33444 100.04999 100.29457  99.97500 100.06498 #>  [11152]  99.93498 100.22475 100.03999 100.19980  99.74969 100.13990  99.95499 #>  [11159]  99.47361  99.70456 100.12492 100.69757 100.26964  99.76472 100.32447 #>  [11166] 100.39422  99.98500  99.91997 100.27961  99.93998 100.04499 100.36932 #>  [11173] 100.06998  99.88493  99.83486  99.68952 100.46890  99.95999 100.06998 #>  [11180] 100.04499  99.91997 100.29955 100.50373 100.21976 100.40916 100.24969 #>  [11187] 100.26964  99.54396 100.25966  99.82485  99.85489 100.04499 100.32447 #>  [11194]  99.66945  99.98000 100.26465 100.30454  99.92497 100.44899 100.60318 #>  [11201] 100.21976 100.04499  99.83987  99.99000  99.91496  99.75971 100.05498 #>  [11208] 100.22974 100.07497 100.27462  99.67949 100.17984 100.25468  99.78477 #>  [11215]  99.62429  99.62931  99.86491 100.15488  99.58414 100.19980 100.04999 #>  [11222]  99.85489  99.91997  99.65942  99.64939  99.72462 100.00000  99.35794 #>  [11229]  99.30257  99.45351  99.98000  99.89995  99.67949 100.17984  99.75971 #>  [11236] 100.44401 100.49876 100.18483 100.04499  99.61928  99.81984  99.72462 #>  [11243] 100.03999  99.95499  99.59920  99.58414  99.58916 100.12992  99.65942 #>  [11250]  99.64437 100.21477  99.76973 100.02000 100.11493 100.06998  99.94999 #>  [11257] 100.54850  99.77976  99.95499  99.78978  99.71459 100.27961  99.99500 #>  [11264] 100.04499 100.19481  99.83486 100.12992 100.08996 100.11493  99.38310 #>  [11271] 100.27961  99.49372  99.54396  99.64939  99.82485  99.94999  99.65942 #>  [11278]  99.60422  99.92497  99.48367 100.40916 100.61312  99.97500 100.27462 #>  [11285] 100.28460  99.88493  99.69955  99.85489  99.92998 100.51368 100.14989 #>  [11292] 100.06998 100.14490  99.70456  99.62931  99.84989 100.13990 100.00000 #>  [11299]  99.40825 100.24470  99.69453 100.29955 100.19481 100.46392  99.99000 #>  [11306] 100.30952 100.04499 100.24470  99.72462 100.20978  99.88493  99.50879 #>  [11313] 100.38924 100.02000  99.73465  99.51382 100.07997  99.69955  99.73465 #>  [11320]  99.69955 100.07997 100.07497  99.94498  99.75470 100.12492  99.45853 #>  [11327] 100.05498  99.94498  99.80481 100.22974  99.62429 100.01500 100.29955 #>  [11334]  99.65942  99.81984  99.72462 100.46392  99.94498 100.12492 100.40418 #>  [11341]  99.74467 100.51865 100.52860  99.62429 100.24969 100.46890  99.63433 #>  [11348]  99.91496 100.44401 100.42410 100.40418  99.92497  99.52889  99.78978 #>  [11355] 100.01000 100.03999 100.14989 100.11993  99.82485  99.54396 100.13491 #>  [11362] 100.39422 100.15488 100.05498  99.55401  99.91496 100.11493 100.02500 #>  [11369] 100.09495  99.82485  99.89494  99.79980 100.23971 100.26964  99.41831 #>  [11376] 100.15488 100.11993 100.06498 100.02500  99.90996  99.91997 100.20479 #>  [11383] 100.10994 100.34939  99.94999  99.91496  99.37303  99.76973 100.12992 #>  [11390]  99.78978 100.47388 100.23472 100.25468 100.18483  99.80481  99.74969 #>  [11397] 100.06498 100.02500 100.28958  99.86491 100.10494 100.01000 100.38426 #>  [11404] 100.36932 100.34441  99.52889  99.93998 100.11993 100.09495  99.94498 #>  [11411]  99.92998 100.12492 100.01500 100.36932  99.64437 100.03499  99.83987 #>  [11418] 100.08496 100.49378  99.46356 100.18982  99.57911 100.06998  99.71961 #>  [11425] 100.56838  99.96499  99.73966  99.97000  99.74969 100.04999  99.80982 #>  [11432]  99.86992  99.73465 100.00500 100.04999  99.22701 100.35437  99.95999 #>  [11439]  99.94999 100.11493 100.02500  99.61928  99.96499  99.90996  99.59418 #>  [11446] 100.07997 100.22974 100.07497 100.00000 100.10494  99.89494  99.71961 #>  [11453]  99.59920 100.04999  99.63935  99.71961 100.31949 100.10494  99.53391 #>  [11460]  99.62429 100.44899  99.70456 100.21976  99.89494 100.22475  99.61426 #>  [11467] 100.08496 100.21477 100.22475  99.75971 100.31451 100.07997 100.06998 #>  [11474]  99.99000 100.15488  99.55903  99.93998  99.79479 100.02500  99.77475 #>  [11481] 100.15987 100.26465 100.05998 100.22475 100.07497  99.54396 100.60815 #>  [11488] 100.12492 100.13491  99.62429  99.90996 100.02500  99.68952 100.47885 #>  [11495]  99.58414  99.96499 100.10994  99.89494 100.33444  99.98000  99.71961 #>  [11502]  99.98500 100.29955  99.63935 100.34939  99.93998 100.32946 100.12492 #>  [11509]  99.82485  99.67447 100.20978  99.34284 100.35935 100.29955  99.92998 #>  [11516] 100.36932  99.59418 100.04999 100.04499 100.22475 100.02000 100.14989 #>  [11523] 100.18483  99.72462  99.87492 100.06998  99.69453 100.16486 100.20479 #>  [11530]  99.69955 100.35437 100.62306 100.25468  99.63935  99.92497  99.30257 #>  [11537] 100.47885  99.75971 100.55844  99.90495  99.78477  99.78978  99.73465 #>  [11544]  99.78477 100.45397 100.35437  99.70958 100.07997  99.79479 100.21976 #>  [11551] 100.18982 100.28958  99.72462 100.11993  99.63935  99.70958 100.09995 #>  [11558] 100.01000  99.72963  99.59418 100.01000 100.01000 100.27462  99.87492 #>  [11565] 100.24470  99.53391 100.19481  99.93498 100.10494 100.09995 100.04499 #>  [11572]  99.73966  99.74467 100.38426  99.83486 100.40418 100.19481  99.97000 #>  [11579] 100.00000  99.65942  99.92497  99.97000  99.99000  99.74969 100.35935 #>  [11586]  99.91997  99.90996 100.01500  99.85990  99.54898  99.80481 100.23971 #>  [11593]  99.47864  99.59920  99.56405  99.88493 100.10994 100.47388 100.08496 #>  [11600] 100.53855  99.95999 100.00000 100.12992  99.83987 100.14490 100.21477 #>  [11607]  99.95499 100.26964  99.69453 100.33444  99.60422 100.70750  99.76973 #>  [11614] 100.31949 100.41912  99.66444 100.08996  99.77475 100.09495  99.74467 #>  [11621] 100.05998 100.03000 100.53855 100.13491  99.67949  99.40322  99.94999 #>  [11628] 100.59324  99.54898 100.17984  99.66945 100.06998 100.13491  99.46859 #>  [11635] 100.39422 100.61809 100.19980  99.92497 100.07997  99.50377 100.01000 #>  [11642]  99.95499  99.99500  99.91496  99.82485 100.29457 100.02500  99.99500 #>  [11649] 100.04499  99.80982  99.86491 100.18982  99.42837  99.53391  99.79479 #>  [11656]  99.85990 100.01500  99.79479  99.63935  99.58414  99.69453 100.06498 #>  [11663]  99.41328  99.89995  99.83987  99.94498  99.65942  99.98500  99.94498 #>  [11670]  99.56405  99.56405  99.52387 100.19481 100.08996 100.30454 100.46392 #>  [11677] 100.08996  99.82986  99.90996  99.82986  99.70958  99.76472  99.85990 #>  [11684] 100.05498 100.49876 100.13990  99.95999  99.75971 100.04499 100.00000 #>  [11691]  99.57911  99.98500 100.73232  99.66444  99.66945  99.91496 100.29955 #>  [11698]  99.52889 100.44899 100.42410  99.81984  99.89995 100.36932 100.29457 #>  [11705] 100.08496  99.46356 100.13990 100.12992  99.78978 100.14490  99.93498 #>  [11712]  99.82485 100.09995  99.69453  99.65942  99.68952  99.92998 100.00500 #>  [11719] 100.29955 100.23472  99.65440 100.37430  99.75971 100.02000 100.03000 #>  [11726]  99.68450 100.17485  99.97500  99.71961 100.05498  99.72963  99.92497 #>  [11733] 100.30454 100.06498  99.43339 100.71246 100.20978 100.03000 100.19980 #>  [11740] 100.08996 100.40916  99.97000 100.05998  99.61928  99.70456 100.51368 #>  [11747] 100.24969  99.87492  99.63935  99.71961  99.86992  99.84488 100.34939 #>  [11754] 100.31949  99.50377  99.98000  99.60924 100.15987 100.26964  99.66945 #>  [11761]  99.85990  99.80982  99.68450 100.25468  99.81984  99.72963 100.27462 #>  [11768] 100.04999  99.71961 100.03499  99.53391 100.14490 100.11493  99.98000 #>  [11775] 100.73232  99.74467  99.91496 100.08496  99.83486  99.97000  99.64939 #>  [11782] 100.46890 100.29955 100.23472 100.35437  99.70456  99.80982 100.11993 #>  [11789]  99.83486 100.56838  99.33277  99.84989 100.05498  99.70958  99.91997 #>  [11796] 100.04499  99.44345 100.05498  99.51382 100.00000  99.40322 100.00500 #>  [11803]  99.83987 100.34939 100.13990 100.19980 100.31949 100.26964  99.81483 #>  [11810] 100.49378 100.11993 100.05998 100.72239 100.02500 100.05498  99.90495 #>  [11817] 100.36434  99.58916 100.29955  99.69955  99.97000  99.92998  99.96499 #>  [11824] 100.30952 100.01500 100.20479  99.74467  99.95999  99.21693  99.84488 #>  [11831]  99.79980 100.01000  99.68450  99.83987 100.45895 100.29457 100.27462 #>  [11838] 100.38924 100.47885  99.68450 100.16986 100.47388 100.11993 100.02500 #>  [11845]  99.78978  99.40322 100.16986 100.15987  99.92497  99.79980 100.19481 #>  [11852]  99.41328  99.83486 100.18483 100.75713 100.06498  99.60924  99.72462 #>  [11859]  99.64939 100.06498 100.40916 100.37430 100.35935  99.92998  99.38813 #>  [11866]  99.61426  99.74467  99.58916  99.97000 100.28460  99.72462 100.10494 #>  [11873] 100.09995  99.94498  99.82485 100.07997  99.75971 100.09495  99.93998 #>  [11880]  99.72963 100.56838  99.98000  99.97500  99.82485 100.61809  99.91997 #>  [11887]  99.59418 100.05498  99.86992 100.29955  99.69955 100.30952 100.57833 #>  [11894] 100.16986  99.58916 100.10994 100.03999  99.85990  99.70456 100.24969 #>  [11901] 100.11493  99.80481 100.37928 100.08996 100.17984  99.90996 100.28460 #>  [11908]  99.94999 100.00000  99.44345  99.80982 100.00500  99.78477 100.45397 #>  [11915] 100.15488 100.35935  99.99500 100.51368 100.40916  99.51382 100.38426 #>  [11922] 100.31949 100.23472 100.09995 100.27961  99.57911  99.91997  99.81483 #>  [11929]  99.80481 100.00000 100.34939 100.10494  99.87993  99.95999  99.95999 #>  [11936]  99.97500 100.17984  99.72963  99.90495  99.75971 100.14490  99.74467 #>  [11943] 100.34939 100.11493 100.14490  99.89995  99.90495 100.01500  99.89995 #>  [11950] 100.11493  99.99500 100.19481  99.78978 100.14490  99.78477  99.60422 #>  [11957]  99.82485  99.71961  99.78477  99.74467  99.84989 100.29955 100.23971 #>  [11964]  99.59418 100.06998  99.85990 100.46392  99.93998  99.79980  99.58916 #>  [11971]  99.97500 100.57833 100.18483  99.64939 100.32447 100.39422 100.19481 #>  [11978]  99.69453  99.64437 100.22974  99.91496 100.09495 100.34441  99.92497 #>  [11985] 100.00000 100.32447  99.54898 100.49378  99.65942  99.97000 100.24969 #>  [11992]  99.92497 100.09995  99.82986 100.34441 100.04999  99.84989  99.83486 #>  [11999] 100.09995 100.43406 100.28460  99.73966  99.87492 100.29457  99.51884 #>  [12006] 100.01000 100.17984 100.17485  99.67949  99.81984  99.63935  99.54898 #>  [12013] 100.16986  99.99000 100.20479 100.12992  99.88493 100.13990  99.55903 #>  [12020]  99.70456 100.10494 100.10994 100.74721 100.38924  99.57409 100.16486 #>  [12027] 100.32447  99.67447 100.28958 100.19481  99.92497 100.21976 100.04499 #>  [12034]  99.98000  99.92497  99.62931 100.01000  99.64939  99.64437 100.08996 #>  [12041]  99.71459  99.84488  99.40322 100.03000 100.10994  99.89494 100.04499 #>  [12048] 100.21477  99.93998  99.94498 100.03499 100.09495  99.87492 100.35935 #>  [12055] 100.18483 100.07497  99.80982  99.65942  99.82485 100.17984 100.61809 #>  [12062] 100.17984  99.87492 100.16986  99.54396  99.51382  99.56405 100.22475 #>  [12069]  99.93498  99.52387  99.43842 100.22475  99.84488  99.74969 100.00000 #>  [12076] 100.15987 100.34441 100.08996  99.66444  99.47864 100.29457  99.87993 #>  [12083] 100.12492 100.42908 100.30454  99.88493 100.12992 100.11993 100.00000 #>  [12090] 100.03000  99.94999  99.45853 100.68267  99.86491 100.09495 100.00500 #>  [12097]  99.96499 100.07997  99.69955  99.97500  99.91997 100.23971 100.48383 #>  [12104] 100.23971 100.01000  99.92497  99.61928  99.84488 100.09995  99.78477 #>  [12111]  99.51884  99.92497  99.70456  99.62429 100.13990 100.02000  99.80982 #>  [12118]  99.62931  99.93498  99.91997  99.51884 100.25966  99.94498  99.67447 #>  [12125]  99.82485  99.75470  99.63935 100.12492  99.79980  99.88994  99.89995 #>  [12132]  99.89995 100.20978 100.53855  99.75470  99.97000  99.58414 100.11993 #>  [12139] 100.33444 100.10994 100.06498 100.19980 100.29955 100.50373  99.84488 #>  [12146] 100.05998 100.38426  99.98500 100.35437 100.00000 100.14490  99.65942 #>  [12153]  99.83987 100.35437 100.08496 100.74721 100.30454  99.47361 100.18483 #>  [12160] 100.24969  99.98500  99.63433 100.03499 100.17485 100.30454 100.28958 #>  [12167]  99.92497  99.75470  99.95999  99.51884 100.19481 100.65287  99.99500 #>  [12174]  99.49372 100.24969 100.35437 100.28460 100.46392 100.10994  99.86992 #>  [12181]  99.62429 100.05498  99.94498  99.61426  99.72963 100.07497  99.94498 #>  [12188] 100.09495 100.03999 100.16986  99.84488 100.09995  99.95999 100.26465 #>  [12195] 100.08496  99.97500  99.95999 100.31451 100.36932  99.75971  99.86992 #>  [12202]  99.89995 100.41414  99.97000  99.70456  99.65942 100.10494 100.19980 #>  [12209] 100.55844  99.99500 100.37928 100.46392 100.05498 100.14989 100.00500 #>  [12216]  99.84989 100.06998 100.45397  99.99500  99.73966 100.30454 100.28460 #>  [12223]  99.98500  99.75971  99.99500 100.09495  99.83987 100.18982 100.32946 #>  [12230]  99.92998 100.29955  99.38813 100.03499  99.85489 100.11993  99.63935 #>  [12237] 100.34441 100.01500 100.03999 100.14989 100.11493  99.87492 100.03499 #>  [12244]  99.79479  99.93998 100.22475  99.70456 100.17984 100.12992  99.70456 #>  [12251] 100.02500 100.02000  99.72462 100.12492 100.27462  99.76973  99.79479 #>  [12258]  99.81483 100.22974 100.25468  99.66945  99.73966 100.14989  99.68952 #>  [12265]  99.93998  99.70958  99.98500  99.65942  99.76472 100.46392 100.59821 #>  [12272]  99.71961 100.14989  99.93498  99.66945 100.01500 100.44401 100.61809 #>  [12279] 100.12992  99.92998 100.13990 100.03499  99.67949  99.90495  99.63935 #>  [12286]  99.64437  99.63433  99.72462 100.16986 100.32447  99.92998  99.98000 #>  [12293] 100.25966 100.86625 100.40916 100.10994  99.79479  99.91997 100.31949 #>  [12300]  99.67447  99.97000  99.47361  99.80481  99.88493  99.96499  99.88493 #>  [12307] 100.17485 100.11993  99.63935  99.86491  99.84488 100.25468  99.44345 #>  [12314]  99.81483  99.70456  99.73465 100.42908  99.87993  99.65942 100.10994 #>  [12321] 100.34441  99.91496 100.33444  99.60924 100.39422 100.11993 100.46890 #>  [12328]  99.74969  99.57911 100.19481 100.00000  99.93998 100.54352 100.52363 #>  [12335]  99.57911 100.25966  99.84989  99.71459  99.81483  99.53894  99.94498 #>  [12342]  99.69955 100.53358  99.56405 100.26465  99.94999  99.82986 100.35935 #>  [12349]  99.85990  99.73966 100.04999 100.12492 100.00000 100.07997 100.26465 #>  [12356]  99.64437  99.84989 100.26465  99.53391  99.98500  99.97500 100.18982 #>  [12363] 100.65784  99.83987 100.26964 100.11493 100.08496 100.20479 100.47388 #>  [12370] 100.37928  99.75971  99.66945  99.85990  99.71961  99.83486 100.38924 #>  [12377] 100.05498 100.46392 100.37430  99.70958 100.05998 100.50373 100.08496 #>  [12384]  99.91496  99.70456 100.02500  99.83486 100.15987 100.04999 100.41414 #>  [12391]  99.83987  99.39819 100.01000  99.64437  99.97000  99.95499  99.98000 #>  [12398]  99.76973 100.24470  99.66444  99.66945 100.55347  99.82485 100.09995 #>  [12405] 100.24470 100.04499  99.86491 100.04499 100.03999 100.03000 100.12992 #>  [12412]  99.73465  99.97000 100.34939  99.76472 100.50871  99.45351 100.16486 #>  [12419] 100.13990 100.34441  99.64437 100.68764  99.87492 100.08496  99.74467 #>  [12426]  99.85990 100.04499  99.95499 100.15987  99.60422  99.89494  99.74467 #>  [12433]  99.91496 100.48383 100.16986 100.00500  99.89995 100.34939 100.13990 #>  [12440] 100.39422 100.10494 100.04999 100.37928  99.78477 100.02500  99.95499 #>  [12447] 100.38924  99.47361 100.08496 100.39920  99.79479  99.89494  99.97500 #>  [12454] 100.00500 100.32946 100.06498 100.19481 100.11493 100.84146 100.07497 #>  [12461] 100.15488 100.28460  99.78978 100.54352  99.51382 100.28460 100.28958 #>  [12468] 100.53358 100.19980  99.48869 100.44401  99.95999  99.94999  99.68450 #>  [12475] 100.05998 100.11493 100.27462  99.83486  99.71459  99.86992  99.76973 #>  [12482] 100.28958  99.66444 100.14490 100.10994  99.89995  99.84488 100.18483 #>  [12489] 100.31949  99.92497  99.58414 100.35437  99.91997 100.19481  99.60422 #>  [12496] 100.21477  99.87993 100.13990  99.80481 100.34939 100.27462 100.44899 #>  [12503] 100.17485 100.22475  99.79980  99.55903 100.14989  99.60422 100.31949 #>  [12510]  99.92497  99.90495  99.44848  99.63433  99.87993  99.87492 100.47388 #>  [12517] 100.09495  99.58916 100.23472 100.16486  99.46356 100.43406  99.89494 #>  [12524]  99.94498 100.03999 100.02000  99.64437 100.02500  99.60924 100.16486 #>  [12531]  99.85489 100.26964  99.60924 100.00500 100.05998  99.75971  99.98000 #>  [12538] 100.38924  99.40825 100.00500  99.81483  99.92998  99.59418 100.06998 #>  [12545]  99.86491  99.95999 100.54850  99.67949  99.80982  99.58414  99.72963 #>  [12552]  99.55903  99.77475  99.57409  99.70958 100.46392  99.59418 100.30454 #>  [12559]  99.73966 100.55347 100.46392 100.33444 100.07497  99.88493 100.26465 #>  [12566]  99.64939 100.15488  99.74969 100.09495  99.87492  99.83486  99.89494 #>  [12573]  99.84488 100.06998 100.09995 100.33942 100.29457 100.12992  99.77976 #>  [12580] 100.06498 100.19980 100.34939  99.98500  99.99000 100.44899  99.94498 #>  [12587] 100.56838  99.89494  99.40825  99.86491 100.21477  99.81483 100.44401 #>  [12594]  99.67949 100.22475  99.83486  99.66444  99.87993 100.13491  99.92497 #>  [12601] 100.17984  99.93998  99.21693  99.71459 100.09995  99.67949 100.13491 #>  [12608] 100.05998  99.73966  99.85990 100.28460  99.66444 100.10994 100.20479 #>  [12615]  99.92998 100.28460  99.82485 100.02000  99.51382 100.55347 100.04499 #>  [12622] 100.28958 100.15488 100.02000 100.02000  99.97000  99.89494  99.95999 #>  [12629]  99.80982  99.90495  99.86491  99.49874 100.33942 100.54352 100.01000 #>  [12636] 100.29457  99.79980  99.94999 100.63300  99.57409  99.90495  99.70456 #>  [12643]  99.56907 100.43406 100.25468 100.37928  99.92998  99.90495 100.18483 #>  [12650]  99.44848 100.12992  99.85489 100.46392 100.13990 100.05498  99.52889 #>  [12657]  99.90996 100.00000 100.33444  99.99500  99.82485  99.98500 100.23971 #>  [12664] 100.04999  99.44848  99.54898 100.05998 100.16486 100.47885  99.66444 #>  [12671]  99.79980 100.09995  99.83486 100.10994 100.12492 100.07497 100.13491 #>  [12678]  99.89494 100.19980  99.70456 100.21477  99.90495 100.02500 100.27961 #>  [12685]  99.30760  99.67949 100.52363 100.01500 100.19980  99.81483 100.09495 #>  [12692]  99.50377 100.74225 100.18982 100.45397 100.15987  99.94498 100.08496 #>  [12699] 100.15488  99.68952 100.21477  99.78477 100.32447 100.28958 100.04499 #>  [12706] 100.28460 100.28460 100.29457 100.44899  99.89995 100.24969 100.26964 #>  [12713] 100.14989 100.00500  99.80481  99.77475  99.89995  99.97500  99.65440 #>  [12720] 100.39422  99.70958  99.99500  99.93998  99.76472  99.84989  99.69955 #>  [12727]  99.82485 100.06498  99.92497 100.12992  99.78978 100.20479 100.11493 #>  [12734] 100.22475  99.81483 100.10494 100.18483  99.71459  99.58414 100.43904 #>  [12741]  99.99500  99.86491  99.49874 100.43406 100.19481  99.78477  99.60422 #>  [12748]  99.92497  99.91997  99.96499  99.58414  99.98000  99.92497  99.64437 #>  [12755] 100.03499 100.27961 100.45397 100.12492 100.11993  99.42334 100.25468 #>  [12762] 100.11993 100.10494 100.29457  99.63433 100.43904 100.11493  99.95499 #>  [12769] 100.13491 100.44401  99.59418  99.93498 100.26465  99.87993 100.10494 #>  [12776]  99.43339  99.85990  99.47361  99.56405 100.07497  99.75971 100.01500 #>  [12783] 100.11493  99.52387 100.17984 100.10994 100.16986  99.64437  99.93998 #>  [12790] 100.23472  99.79980  99.48367  99.60924  99.84488 100.22974 100.46392 #>  [12797]  99.55401  99.34787  99.78477  99.35291  99.93498  99.96499  99.64939 #>  [12804]  99.93498 100.17984  99.71459 100.10494  99.80481 100.57336 100.32447 #>  [12811]  99.91496 100.13491 100.06998 100.17984  99.61426 100.01500  99.77976 #>  [12818] 100.27462 100.36434 100.34939  99.60422 100.28958  99.71961 100.11993 #>  [12825]  99.74467  99.87993  99.61426 100.17984  99.55401 100.19980  99.99000 #>  [12832] 100.00500 100.21976  99.75470 100.02000 100.23971 100.05498  99.93498 #>  [12839]  99.52387  99.73966 100.55844  99.57911  99.74969 100.41912  99.82485 #>  [12846]  99.42334  99.99500 100.00500  99.51382  99.41328 100.02000  99.93998 #>  [12853] 100.45895 100.02500  99.84488  99.91997  99.87993  99.73465  99.94999 #>  [12860]  99.87993  99.74969 100.22475  99.76973  99.49874  99.91997  99.66945 #>  [12867] 100.08496 100.13491 100.36434  99.86992  99.44848  99.98500 100.42908 #>  [12874]  99.79479 100.13990  99.66444 100.49378 100.01500  99.44345  99.61928 #>  [12881]  99.97000 100.50871 100.23971  99.65942 100.40418  99.94999 100.23971 #>  [12888]  99.32271 100.13491 100.05998 100.64790 100.27961  99.95999 100.00500 #>  [12895]  99.53894 100.25966  99.97500  99.91997 100.06498 100.42908 100.09495 #>  [12902]  99.92497  99.82485 100.31949 100.14989  99.75971 100.49876 100.26465 #>  [12909]  99.47864 100.14490 100.03000  99.83486  99.52387  99.86992  99.74969 #>  [12916]  99.61426 100.35935  99.96499 100.06498 100.22974  99.73465 100.02000 #>  [12923]  99.92497  99.91997  99.68952  99.90996 100.10994  99.70456 100.30454 #>  [12930] 100.06998  99.80982 100.45895  99.85990  99.67949  99.77976 100.23472 #>  [12937]  99.99000 100.02000 100.01500  99.47361 100.17984  99.95999 100.01500 #>  [12944] 100.47885 100.34441  99.85990  99.69955 100.15488  99.63935  99.55903 #>  [12951] 100.00000 100.14490  99.64437  99.64437 100.45895 100.02000 100.14989 #>  [12958]  99.65440 100.01000  99.68952  99.72963  99.63935  99.82485  99.53391 #>  [12965] 100.09495 100.40418  99.97000  99.55401  99.78978  99.93998 100.07997 #>  [12972] 100.23472  99.70958  99.63433 100.26465  99.74969 100.00500  99.85990 #>  [12979]  99.55903  99.89494 100.08996  99.66444  99.64437  99.75470 100.20978 #>  [12986]  99.70958 100.01000 100.03000  99.71961  99.82986 100.17485  99.78477 #>  [12993] 100.39422  99.87993  99.76973 100.57336 100.36932 100.15987  99.90996 #>  [13000]  99.55401  99.92497 100.22974 100.25468 100.46392 100.24969  99.95499 #>  [13007] 100.24969  99.84989  99.52889 100.69260  99.96499 100.03000 100.32946 #>  [13014]  99.71961  99.93498 100.08496  99.97000 100.39422 100.08996  99.84488 #>  [13021]  99.76472  99.42334 100.38924  99.90495  99.63433 100.00000 100.31451 #>  [13028]  99.93498  99.99000 100.22475 100.32946  99.64939 100.21976 100.32946 #>  [13035] 100.17485 100.10994 100.16986  99.70958  99.67949  99.71459 100.32447 #>  [13042] 100.07997  99.83486  99.56405 100.20479 100.00000 100.19980 100.13990 #>  [13049] 100.54352 100.27961 100.29457 100.51865 100.32447 100.59324 100.13990 #>  [13056] 100.27961  99.83987  99.84488  99.80481  99.69955  99.87492 100.36434 #>  [13063] 100.00500  99.72963  99.79479  99.97000  99.58414 100.73728 100.03499 #>  [13070]  99.82485 100.08496 100.25468 100.10494 100.04999 100.26964 100.20479 #>  [13077]  99.59418  99.39819 100.44401 100.32447 100.23472 100.31949  99.89494 #>  [13084]  99.62931 100.39920  99.89494 100.03499  99.99500 100.03999  99.78978 #>  [13091]  99.57409 100.15488 100.36434 100.09995 100.09995 100.23971 100.55844 #>  [13098]  99.83486  99.92998  99.94498  99.90996  99.47361 100.18483  99.92497 #>  [13105] 100.19481  99.80481 100.45895 100.42410  99.76472  99.82986 100.06998 #>  [13112]  99.84989 100.55844 100.35935  99.49874 100.25966 100.23472 100.41414 #>  [13119]  99.83486  99.82485  99.79980  99.70456  99.79479 100.10494  99.73465 #>  [13126]  99.75971  99.99000 100.17984 100.02500  99.66945 100.17485  99.92497 #>  [13133] 100.11993 100.09995 100.30952  99.86992  99.87993  99.33781  99.72963 #>  [13140]  99.76472  99.96499 100.14490 100.01500  99.72462 100.01500  99.48367 #>  [13147]  99.77475  99.95499 100.19980 100.27462 100.14490 100.16986  99.89995 #>  [13154]  99.44848  99.80481  99.95499  99.31767  99.72963 100.35935 100.18982 #>  [13161]  99.64437  99.99000  99.76973 100.39920  99.87993 100.23472 100.46392 #>  [13168]  99.75470 100.52363 100.19980 100.01000 100.31451 100.40418 100.33444 #>  [13175] 100.20479  99.96499 100.45895 100.16986 100.00500  99.57911 100.40916 #>  [13182] 100.52860 100.34939 100.43904 100.22974  99.78477 100.24470 100.02500 #>  [13189]  99.93998 100.09995 100.09495  99.99000 100.02500  99.92998  99.74969 #>  [13196]  99.79479  99.93998 100.37928  99.60422  99.61426  99.87993 100.38426 #>  [13203]  99.24213 100.40916 100.37430 100.35935 100.31949  99.88493 100.63797 #>  [13210] 100.36932 100.38924  99.59920 100.25468 100.26964  99.78477  99.75971 #>  [13217]  99.82485  99.85489  99.99000 100.00000 100.41912 100.05998  99.95999 #>  [13224] 100.20978 100.06498  99.97000 100.37928 100.00500  99.79980  99.49874 #>  [13231]  99.61928  99.72462  99.92497 100.38426 100.29457 100.65784  99.74467 #>  [13238]  99.74969  99.46356  99.86491  99.57409 100.12492  99.91496 100.35935 #>  [13245] 100.28460 100.18982  99.70958 100.39422  99.91496  99.39316 100.29457 #>  [13252]  99.99000 100.26465  99.52387 100.11493  99.91997  99.80481 100.11993 #>  [13259]  99.82986 100.63300 100.32447 100.23971  99.72462  99.78477 100.49378 #>  [13266]  99.67447 100.07997 100.21976  99.67949 100.18483 100.33444 100.26465 #>  [13273] 100.16486 100.14989 100.32447 100.02500 100.30952  99.79479  99.75470 #>  [13280] 100.14989  99.54898 100.67770  99.84989  99.70456 100.22974  99.56405 #>  [13287] 100.26465  99.84989  99.39819  99.62931  99.87492  99.68952 100.34441 #>  [13294] 100.13491  99.91997 100.19980 100.06998 100.39920 100.20978 100.10494 #>  [13301] 100.28958 100.43406 100.24470  99.97500  99.87492  99.72462  99.85990 #>  [13308] 100.05998  99.91496  99.86992  99.60422 100.43406 100.33942 100.19980 #>  [13315] 100.17984  99.78978 100.31451  99.71961 100.15488  99.97500  99.95999 #>  [13322]  99.89494 100.07497  99.75470 100.19980  99.97000  99.80481 100.17984 #>  [13329]  99.91496  99.56907 100.02000 100.24470  99.78978 100.15488  99.70958 #>  [13336]  99.88493  99.98500  99.77475 100.12492 100.32946 100.09995 100.41414 #>  [13343] 100.00500 100.03999 100.11993 100.24470 100.09495  99.72963 100.08496 #>  [13350]  99.98000 100.16486  99.95499  99.93998 100.36434 100.10994 100.11493 #>  [13357] 100.32447 100.02000 100.29955 100.21477 100.06498  99.84488  99.92497 #>  [13364] 100.15987 100.05498 100.10494  99.84989 100.27961 100.10494 100.29955 #>  [13371]  99.92998  99.42837 100.44401 100.04499  99.36297 100.15987 100.05498 #>  [13378]  99.88994 100.06498  99.85990 100.22475 100.25468  99.51884 100.37430 #>  [13385] 100.28958 100.40916 100.09495 100.03499  99.55401  99.85489 100.08996 #>  [13392] 100.46392  99.35291 100.01000  99.96499  99.99000  99.95499  99.93998 #>  [13399]  99.64437 100.17984 100.19481 100.20479  99.80481 100.24470  99.97000 #>  [13406]  99.72963 100.46890 100.38924 100.07497 100.04499  99.82986 100.03499 #>  [13413] 100.00500  99.87492 100.01000  99.89995  99.87492 100.05498 100.12492 #>  [13420]  99.61928  99.86992  99.87993 100.20479  99.77475  99.59920 100.05998 #>  [13427]  99.69453 100.14490  99.49874 100.09495 100.07997 100.33942  99.84989 #>  [13434]  99.81483 100.34939 100.35935 100.68267 100.40418  99.89995  99.99500 #>  [13441] 100.34441 100.65287 100.27961  99.71459  99.73966  99.70456 100.58827 #>  [13448]  99.93498 100.20978  99.86992 100.05998 100.17984 100.08996  99.97000 #>  [13455] 100.03000  99.77976 100.35935 100.22475 100.31451  99.47864  99.88493 #>  [13462] 100.66280 100.42908 100.52363  99.96499 100.21477  99.56405  99.91496 #>  [13469]  99.69453 100.14989  99.86491 100.34939 100.43904  99.98000 100.28958 #>  [13476] 100.30454 100.04499 100.20978  99.60422  99.64939 100.11993 100.06498 #>  [13483] 100.00500  99.62429  99.89995 100.17485 100.65784 100.14989 100.03999 #>  [13490] 100.09995 100.30454  99.84989 100.36434 100.32447  99.58414 100.10994 #>  [13497] 100.37928  99.76472  99.65942  99.91496  99.96499  99.81483 100.13990 #>  [13504] 100.19980 100.08496 100.10994 100.27961  99.64939  99.46859 100.05498 #>  [13511] 100.10994 100.27462 100.05998 100.37430 100.35935  99.83486 100.00500 #>  [13518]  99.86992  99.51382 100.16986 100.04499  99.87993 100.27462  99.63935 #>  [13525]  99.69955 100.12992 100.05998  99.68952  99.99000 100.03499 100.15488 #>  [13532] 100.26964 100.68764  99.91496  99.67949  99.72963 100.53358 100.10494 #>  [13539]  99.98500 100.12992 100.03000 100.17485 100.26465  99.51884  99.88994 #>  [13546]  99.94498  99.84488  99.78477 100.12492 100.31451  99.80982 100.05998 #>  [13553] 100.19980  99.96499  99.79980 100.17984 100.38924  99.85489  99.69955 #>  [13560] 100.05498  99.81483  99.80481  99.93998 100.03000  99.99500 100.16986 #>  [13567] 100.35437 100.26964 100.08496 100.04999 100.26465  99.78477 100.32946 #>  [13574]  99.98500 100.35935 100.55844 100.24969  99.87492 100.24470  99.56405 #>  [13581] 100.09995  99.65440  99.98500 100.33942  99.95999 100.22974 100.49876 #>  [13588]  99.92497  99.69453 100.39422 100.05998  99.85489 100.15488  99.51382 #>  [13595]  99.61928 100.06498  99.74969  99.60422  99.83486 100.16986 100.03999 #>  [13602]  99.91496 100.36932 100.14989 100.04999 100.36932  99.98500 100.50871 #>  [13609] 100.18483 100.22974 100.03499  99.93998  99.93498 100.38924  99.92998 #>  [13616] 100.14989  99.72963  99.84989  99.99500 100.41414  99.81483  99.72963 #>  [13623]  99.98500 100.63300 100.60318 100.12992 100.28460  99.69453 100.40418 #>  [13630] 100.03499 100.02500  99.87993  99.65440 100.15987 100.06498  99.94999 #>  [13637]  99.57911 100.16986 100.25966  99.80982 100.15488  99.90996  99.89995 #>  [13644]  99.82986 100.05998  99.79479  99.64437 100.36434  99.80982 100.25468 #>  [13651]  99.35794  99.52889 100.00000  99.75971  99.77976 100.29955  99.63433 #>  [13658]  99.83987  99.83486 100.14490 100.23971 100.11993  99.89494 100.10494 #>  [13665]  99.98500 100.21976  99.94999  99.92998  99.89995  99.74467 100.22475 #>  [13672] 100.06498  99.89995 100.03000  99.77976 100.04499 100.32447  99.76472 #>  [13679]  99.79479  99.88493  99.76472 100.08496  99.77976 100.11993 100.39422 #>  [13686] 100.29457  99.49874 100.45397  99.87492 100.10494 100.30454 100.24470 #>  [13693] 100.55347 100.17984 100.45397 100.52860 100.05998  99.95499  99.63433 #>  [13700]  99.94498  99.94498 100.15987 100.40916  99.94498 100.05498  99.86491 #>  [13707]  99.89494 100.16986  99.58414  99.91997  99.80982  99.51884 100.02500 #>  [13714] 100.35437 100.22974  99.79980  99.80481 100.12492 100.09495 100.37430 #>  [13721]  99.53391 100.24470  99.98000  99.89494 100.20978 100.20978 100.00000 #>  [13728]  99.58414 100.18483  99.98000 100.12992  99.88493 100.30454 100.07497 #>  [13735] 100.09495 100.09995  99.64939  99.84989  99.91496  99.92497 100.16986 #>  [13742]  99.64437  99.55401  99.83486 100.32946 100.19980 100.37430  99.76973 #>  [13749]  99.87993  99.98500 100.38426 100.05498  99.94498 100.38924 100.20479 #>  [13756]  99.54898  99.73966 100.28460  99.60924  99.72963  99.99000  99.98000 #>  [13763]  99.82485  99.63433  99.22197 100.32447  99.82986  99.85489  99.97000 #>  [13770]  99.68952 100.32946 100.27961 100.03499  99.75470  99.41328  99.81984 #>  [13777]  99.85990 100.14989 100.18982  99.72963 100.17984 100.13491 100.23971 #>  [13784]  99.53894  99.78477 100.40418  99.95499  99.70958  99.52889  99.88994 #>  [13791] 100.09495 100.27961  99.73465 100.10494 100.10994 100.17485  99.86491 #>  [13798] 100.26465  99.77976  99.63935  99.73966  99.86491  99.67949 100.30952 #>  [13805] 100.32447 100.07997  99.79980  99.31264  99.87993  99.96499  99.83486 #>  [13812] 100.02000 100.19980 100.20479 100.11493 100.29955 100.37430  99.82986 #>  [13819] 100.26964  99.70958 100.10994 100.04499 100.08496 100.34939  99.86992 #>  [13826] 100.26964 100.27961  99.95499  99.92998 100.28958 100.03000 100.30952 #>  [13833]  99.76973  99.39316 100.30952 100.33942  99.64437 100.22974  99.68952 #>  [13840] 100.63797  99.43842  99.90495 100.28460 100.07497 100.28460 100.08996 #>  [13847] 100.39920  99.90495  99.55903  99.90495  99.94999 100.04499 100.18982 #>  [13854] 100.22475 100.13990  99.73966 100.34939 100.38426 100.18982  99.84989 #>  [13861] 100.03000  99.73966  99.97000  99.89494 100.48881 100.43406 100.16486 #>  [13868] 100.14989 100.02000  99.80982  99.88994 100.04999  99.30760 100.30952 #>  [13875]  99.88493  99.68450 100.49876 100.24969  99.82986  99.94999  99.93498 #>  [13882]  99.80982 100.21477  99.96499 100.17984  99.97000  99.88493  99.56405 #>  [13889] 100.12492 100.44401  99.86992  99.81984  99.94999 100.09995  99.87492 #>  [13896]  99.85489 100.19980  99.88493 100.07997  99.82485  99.93998  99.92998 #>  [13903]  99.78978 100.33942  99.94498 100.10494 100.23472 100.12992 100.18982 #>  [13910] 100.00000  99.80982 100.06998 100.28460  99.57911 100.45895  99.96499 #>  [13917] 100.14490  99.60924  99.62931  99.59418  99.96499  99.80982  99.63433 #>  [13924]  99.93498  99.76973 100.27462 100.04499  99.70456  99.61928  99.88493 #>  [13931] 100.16486 100.38924 100.22974  99.97000 100.38426  99.61426 100.50373 #>  [13938] 100.34939  99.52387  99.85990  99.97500  99.97000  99.57911  99.97000 #>  [13945] 100.00000  99.81984  99.58414 100.07497  99.77976 100.03999  99.88493 #>  [13952] 100.28958 100.24969 100.06498 100.11493  99.79980  99.61426 100.00000 #>  [13959]  99.87492  99.79980 100.29457 100.45397 100.14490 100.29955  99.72462 #>  [13966]  99.39316  99.72462  99.76472 100.08996 100.58827 100.44899 100.18982 #>  [13973] 100.03999 100.13491 100.25468  99.43339 100.22974  99.94498 100.17485 #>  [13980] 100.06998  99.48869 100.24470 100.44899  99.59418 100.23971 100.03000 #>  [13987]  99.98500 100.23472 100.41414 100.02500 100.10994  99.85990 100.05498 #>  [13994] 100.23971 100.10494  99.79479  99.76472 100.35935 100.46890  99.64939 #>  [14001] 100.12492  99.92998  99.41328  99.68450  99.71961 100.28460  99.88493 #>  [14008]  99.95499 100.37928  99.76973  99.88994 100.63300  99.37807  99.95999 #>  [14015]  99.96499 100.02500 100.17984  99.59418 100.06998  99.52889 100.37430 #>  [14022]  99.84989  99.47361 100.25468  99.71459  99.97500 100.06498  99.95999 #>  [14029]  99.97000  99.89494  99.89995  99.52889  99.38310  99.96499 100.51368 #>  [14036] 100.16486  99.97000  99.61426 100.03000 100.37928  99.97500  99.65440 #>  [14043] 100.18982  99.94999 100.02500 100.12992  99.65440  99.87492  99.77475 #>  [14050] 100.10494 100.20978  99.67447  99.88493  99.86491  99.64939 100.26465 #>  [14057] 100.40418 100.21477 100.51368 100.10994  99.90996 100.11493  99.90996 #>  [14064] 100.62803 100.14989 100.35437  99.92497  99.82485  99.80481 100.35935 #>  [14071]  99.62931 100.65287  99.93998 100.51865 100.07497 100.15488  99.97500 #>  [14078]  99.34284  99.79479  99.98000 100.09495  99.52889  99.87993 100.11493 #>  [14085] 100.21976  99.83987 100.03499 100.53358 100.26465  99.98000 100.05498 #>  [14092]  99.95999 100.27961 100.11993  99.60924  99.83987  99.97000 100.13491 #>  [14099] 100.27961 100.20479  99.75971 100.04999 100.47388 100.04499 100.11993 #>  [14106] 100.21477  99.87492 100.01000  99.72963  99.78978 100.11993  99.95999 #>  [14113] 100.22475  99.92497 100.28958  99.82485  99.85990 100.22475 100.05998 #>  [14120]  99.99000 100.08996  99.96499 100.30952 100.34441 100.02500  99.76472 #>  [14127] 100.73728 100.31949  99.58916 100.51865  99.85990 100.21477  99.85990 #>  [14134]  99.81483  99.94999 100.31949 100.09495  99.75971 100.02000 100.35935 #>  [14141] 100.06498 100.43904  99.91496 100.29457 100.06498  99.92497 100.05498 #>  [14148]  99.82986 100.05998  99.94498 100.08496 100.12992  99.54396  99.83486 #>  [14155] 100.09995  99.95999 100.42908 100.00500 100.27961  99.85990  99.96499 #>  [14162]  99.82986 100.00500 100.24470 100.12992 100.54352  99.80982 100.06998 #>  [14169] 100.30454 100.23971 100.07997 100.53358  99.40825  99.99000 100.22974 #>  [14176]  99.50879  99.71961 100.18982 100.36434 100.15987 100.01500 100.29457 #>  [14183] 100.30952  99.83987 100.38426  99.79980  99.39316  99.87492 100.45397 #>  [14190] 100.13491 100.26964  99.85990 100.03999  99.89995  99.89494  99.83486 #>  [14197] 100.01000 100.78194 100.02000 100.07497 100.54850  99.74467  99.83486 #>  [14204]  99.48869  99.47361  99.89995  99.64939 100.03000  99.76973 100.32447 #>  [14211]  99.76973 100.31451  99.78477  99.70456 100.38924 100.44401  99.92998 #>  [14218] 100.18982 100.23971  99.95999 100.64293 100.49876  99.75971  99.48869 #>  [14225]  99.89995  99.50377 100.40418  99.62429  99.49372  99.66945 100.35935 #>  [14232]  99.65440 100.17485  99.41328 100.42908  99.82485 100.35437  99.81483 #>  [14239]  99.46859 100.04999 100.01500  99.97000  99.90495 100.15488 100.15987 #>  [14246] 100.12992  99.64437 100.21477 100.27961  99.48367 100.59821 100.14490 #>  [14253]  99.82485  99.91496 100.32447  99.85990  99.97500  99.76472  99.75971 #>  [14260]  99.91997  99.68450 100.03000 100.20479 100.22974  99.77475  99.78477 #>  [14267]  99.66945 100.13491 100.20479 100.14490 100.09495 100.14989 100.34441 #>  [14274]  99.86992  99.80481 100.17984  99.41831 100.13491 100.16986 100.18483 #>  [14281] 100.00000  99.60924 100.08996  99.96499 100.00500 100.03499 100.47388 #>  [14288]  99.91496  99.89995 100.21976 100.13491 100.20978 100.14989  99.98000 #>  [14295] 100.30952 100.37928  99.75470  99.67447 100.07997  99.74969 100.08996 #>  [14302]  99.91496 100.25468  99.26228 100.22974 100.07997 100.31451 100.43406 #>  [14309]  99.65440 100.14989  99.29753 100.40916  99.82485  99.87993 100.46890 #>  [14316]  99.64437 100.50871 100.48383 100.23472  99.84488 100.18982 100.26964 #>  [14323] 100.01000 100.24470  99.89494  99.63433 100.10994 100.03999 100.41912 #>  [14330] 100.11493  99.75470  99.73465  99.93498 100.09995 100.10494  99.92998 #>  [14337]  99.97500  99.43339  99.71961 100.66777 100.08996  99.99000  99.70958 #>  [14344]  99.74969  99.97500 100.12992 100.17984 100.03499  99.84989  99.98500 #>  [14351]  99.82485  99.93498 100.26465  99.77976  99.97000 100.32946  99.97500 #>  [14358] 100.00000 100.14490  99.59920 100.34939  99.98000  99.94999 100.28958 #>  [14365]  99.97000 100.43904 100.10994 100.00500 100.23971  99.88994 100.00000 #>  [14372] 100.54850 100.26465  99.90495  99.88493 100.04499  99.73465  99.89494 #>  [14379]  99.86491  99.40825 100.14989 100.14989 100.18982 100.20978 100.12992 #>  [14386] 100.05998  99.62429 100.14989  99.80481  99.66444 100.07997  99.56907 #>  [14393] 100.17984  99.80982 100.04999  99.88994 100.30454 100.44899  99.89494 #>  [14400]  99.74467  99.67949  99.78477 100.08996 100.51368  99.80481  99.90495 #>  [14407]  99.87492 100.12492  99.98000  99.98000 100.34939  99.78477  99.96499 #>  [14414] 100.12492 100.41912 100.03000  99.78978  99.68952  99.80982 100.47885 #>  [14421] 100.14490 100.22974 100.23971 100.62306  99.62931  99.39819  99.76973 #>  [14428] 100.37928 100.07497  99.47361  99.77976  99.70456 100.66280  99.29250 #>  [14435]  99.81483  99.88994  99.55401 100.34939  99.56907  99.87492  99.52889 #>  [14442] 100.23472  99.53391  99.51884  99.77475 100.39422  99.74969  99.99000 #>  [14449] 100.03499 100.00000 100.11993  99.71961 100.35437  99.97000  99.66945 #>  [14456]  99.86992 100.23971  99.87492  99.77976 100.55347 100.01000 100.02000 #>  [14463]  99.67949  99.75971 100.13990 100.00000  99.70456  99.91496  99.98500 #>  [14470]  99.84989  99.60422 100.44899  99.76973  99.97500  99.95999 100.17485 #>  [14477]  99.72963  99.86491  99.47864 100.15488 100.29457  99.86491 100.44899 #>  [14484]  99.86992 100.29457 100.09495  99.71459 100.17485  99.61426 100.22475 #>  [14491] 100.16986 100.47885  99.79980 100.41414  99.95999  99.81984 100.10994 #>  [14498]  99.64437 100.12992  99.43842 100.28460 100.01500  99.76472 100.18483 #>  [14505]  99.78978 100.20479  99.90495  99.99000  99.64939 100.33942 100.35437 #>  [14512]  99.90495 100.16486  99.35291  99.90495 100.59821  99.79479 100.25966 #>  [14519] 100.43904 100.11493 100.56341 100.36434 100.37928 100.47885  99.95999 #>  [14526]  99.67949 100.22475  99.91496  99.54396 100.06498  99.78978  99.90996 #>  [14533] 100.42410  99.89494  99.99000 100.57336  99.66945  99.50879  99.93998 #>  [14540] 100.25966  99.62931  99.70958 100.33942 100.13491  99.96499  99.82485 #>  [14547]  99.95499  99.82485 100.32946 100.56838 100.17485 100.05498  99.86491 #>  [14554] 100.14490  99.99000  99.78978 100.13491  99.62931  99.88493  99.82485 #>  [14561] 100.02500 100.54352  99.94498 100.31451 100.32946  99.51884 100.29955 #>  [14568] 100.36932 100.64790 100.23472 100.15987 100.06998  99.96499  99.91496 #>  [14575]  99.88994 100.34939 100.33444 100.12492 100.18982 100.27961  99.26732 #>  [14582] 100.11993  99.90996 100.42410 100.38426  99.76973  99.81984 100.30454 #>  [14589] 100.11993 100.17984 100.33444  99.83987  99.84488 100.19481 100.14490 #>  [14596] 100.23472 100.23472  99.70456 100.42908  99.70456  99.47361  99.81483 #>  [14603]  99.76472 100.14490 100.24470 100.21477  99.49372  99.72462 100.34939 #>  [14610]  99.56907  99.93998 100.08496 100.63300 100.03000 100.45895 100.33942 #>  [14617] 100.28460  99.82485  99.82485 100.29955  99.45351  99.81483 100.01500 #>  [14624] 100.27462 100.15987 100.30454 100.47885  99.54396 100.44899 100.26964 #>  [14631]  99.78978  99.48367  99.82485  99.76472  99.97000 100.20978 100.01500 #>  [14638] 100.16986  99.86491 100.36434 100.01500 100.12992 100.49378 100.46890 #>  [14645]  99.76973 100.31451  99.94498  99.99000 100.04999  99.85990 100.02500 #>  [14652]  99.66444 100.62306  99.64437  99.88493  99.85990 100.24969 100.32447 #>  [14659]  99.17157  99.75470 100.24470 100.33444 100.31451 100.03999  99.86992 #>  [14666]  99.82986 100.00000 100.28460 100.50373 100.16986 100.26964  99.99000 #>  [14673]  99.51884 100.13491  99.61928 100.00000 100.03499  99.82986 100.01500 #>  [14680] 100.60318  99.75470 100.00500  99.81984  99.93498  99.87492  99.93498 #>  [14687]  99.13627 100.17485 100.13491 100.46890 100.23971  99.99000  99.70456 #>  [14694]  99.76973 100.45895 100.21976  99.67447 100.03499 100.29457 100.14989 #>  [14701]  99.47361  99.94498  99.84989  99.53894  99.85990  99.79479  99.61426 #>  [14708] 100.16486  99.97500 100.13491 100.48383  99.64939 100.51368  99.83987 #>  [14715]  99.80481  99.64939 100.22974  99.94498  99.67447 100.15488  99.82986 #>  [14722]  99.43842  99.76973  99.91496  99.87993  99.99500  99.85990  99.82485 #>  [14729] 100.02500  99.66444 100.37430  99.88493  99.72462  99.42837 100.48881 #>  [14736] 100.53855 100.56838  99.88994  99.89494  99.57409 100.14989  99.33781 #>  [14743]  99.71961  99.86491 100.00500  99.96499 100.06498 100.27462 100.29955 #>  [14750] 100.34441  99.84989  99.97500 100.00500 100.30952 100.06498  99.94999 #>  [14757]  99.92998  99.41328  99.45853  99.87492  99.56405 100.63300  99.76973 #>  [14764]  99.88493 100.24470 100.15987  99.54898  99.50879 100.06998 100.42908 #>  [14771]  99.39819 100.42410 100.00500  99.76973  99.73966  99.67447 100.55844 #>  [14778] 100.09995 100.20479 100.11493 100.47388 100.21477  99.88493 100.19980 #>  [14785] 100.06998 100.29457  99.53894  99.92998  99.97000  99.93998  99.88994 #>  [14792]  99.62429  99.86491  99.54396 100.12492 100.12992 100.38924 100.30952 #>  [14799] 100.28958  99.71961  99.97000  99.95499  99.88493  99.50377  99.53391 #>  [14806] 100.18982 100.77202 100.30454  99.47361  99.60924  99.89494 100.05498 #>  [14813] 100.03499  99.86992  99.45351  99.83987  99.86992 100.05498  99.79980 #>  [14820] 100.03999  99.89995 100.01000 100.43406 100.21477 100.60815  99.91997 #>  [14827]  99.91496  99.92998  99.82485 100.33444  99.91997  99.70958 100.07497 #>  [14834] 100.00000 100.35935  99.91496  99.80982 100.08496 100.09995  99.73465 #>  [14841] 100.37928 100.14989  99.54396 100.19481 100.02000 100.21477 100.66777 #>  [14848]  99.86491  99.55903 100.39422 100.47388 100.04999  99.99500 100.00500 #>  [14855] 100.43904 100.46392 100.33942  99.87492  99.79479 100.36932  99.45853 #>  [14862] 100.25966  99.90996 100.06498 100.51865 100.25966  99.93998 100.51368 #>  [14869]  99.53894 100.22475  99.83486 100.31949 100.05498  99.99500 100.17984 #>  [14876] 100.22974 100.21477 100.01500  99.82485 100.10494  99.94498 100.12492 #>  [14883] 100.46392 100.34441 100.22974 100.35437 100.32447  99.59418 100.45397 #>  [14890] 100.15488  99.85990  99.94498  99.93998  99.57409  99.98500  99.93998 #>  [14897] 100.18982  99.83987  99.88493 100.29457  99.51884  99.89494  99.51382 #>  [14904] 100.13491 100.37430  99.93498  99.65942 100.15987  99.93998  99.87993 #>  [14911] 100.03999 100.54352  99.99500  99.76472  99.80481  99.84488  99.95999 #>  [14918]  99.68450 100.10994  99.94999 100.02000  99.84989 100.20978 100.10994 #>  [14925]  99.94498  99.99500 100.03000 100.31451 100.29457 100.01000  99.87993 #>  [14932]  99.65942  99.91997 100.43406 100.42908 100.14490  99.89995 100.27961 #>  [14939]  99.71459  99.97000  99.74467  99.64437 100.10494 100.14989 100.07997 #>  [14946]  99.77976  99.88493  99.93998 100.54352 100.16986 100.17984 100.13491 #>  [14953] 100.13990 100.18982 100.25468 100.11493 100.03499  99.98500 100.08496 #>  [14960]  99.81483 100.47388 100.05998  99.05554  99.79479  99.73966  99.98000 #>  [14967]  99.93498  99.87993 100.19481 100.09995  99.78477  99.95999  99.89995 #>  [14974] 100.02000  99.79479 100.20479  99.39316 100.06998  99.87492 100.31949 #>  [14981]  99.76472  99.72462  99.57911 100.10494  99.79479 100.01000  99.39819 #>  [14988]  99.66444 100.22974 100.33444  99.70456 100.08496 100.09995 100.07997 #>  [14995]  99.99500 100.31949  99.80481 100.38426  99.89995  99.70958  99.93998 #>  [15002]  99.63935  99.87993  99.56405  99.51884 100.11493  99.97500  99.58916 #>  [15009]  99.68450  99.61928 100.58827 100.08496 100.11993  99.83987  99.74969 #>  [15016] 100.18483 100.21477  99.80982 100.07997 100.00500  99.70456 100.16486 #>  [15023] 100.14490  99.80481 100.29955  99.90996  99.92998 100.10494  99.86491 #>  [15030] 100.13990 100.18982 100.32946 100.15987 100.11493 100.42908 100.19481 #>  [15037]  99.97000  99.42334 100.12492 100.04999 100.07997  99.78978  99.89494 #>  [15044]  99.73966  99.87492 100.17984 100.38924 100.54850  99.75971 100.48383 #>  [15051] 100.15987  99.86992 100.27462 100.19481  99.98500 100.47388 100.56341 #>  [15058] 100.09495  99.81984  99.57409  99.81483 100.42410 100.68764  99.82986 #>  [15065]  99.84488  99.71459 100.03999  99.82986  99.51382  99.74467  99.73966 #>  [15072]  99.83486 100.21477 100.01000  99.70456 100.59324  99.73966 100.35935 #>  [15079] 100.17485 100.31451  99.54396  99.96499  99.30760 100.23971 100.07497 #>  [15086]  99.66444 100.34441  99.79479 100.15488 100.00000 100.16486 100.07997 #>  [15093]  99.81984 100.33942  99.67447  99.90996  99.37807  99.87993 100.04499 #>  [15100]  99.82986  99.84989  99.91496  99.35291  99.55903 100.37928  99.93998 #>  [15107]  99.95499 100.17984 100.34939 100.22974 100.31949 100.02000  99.59920 #>  [15114] 100.08996  99.58414  99.80481 100.21976  99.56405  99.21693 100.05498 #>  [15121] 100.30454 100.03999  99.58414  99.95999  99.97500  99.99000 100.12492 #>  [15128]  99.80982 100.00500  99.90495  99.35291  99.94999 100.05498  99.65942 #>  [15135]  99.79980 100.19481 100.11493 100.08496  99.77475 100.23472 100.26465 #>  [15142] 100.14490 100.12492  99.90996 100.11493  99.74467  99.92998  99.74467 #>  [15149] 100.07997  99.82485  99.86491 100.04499  99.78477  99.79980 100.03000 #>  [15156]  99.79479 100.16486  99.90495 100.32946  99.62931 100.29457  99.64437 #>  [15163]  99.71459  99.68450  99.50377  99.89995 100.04999 100.02500  99.63935 #>  [15170] 100.25966  99.77475  99.91997 100.44401 100.09995 100.36932  99.90495 #>  [15177]  99.60924 100.12492  99.99500 100.39422  99.98000  99.68952 100.09995 #>  [15184]  99.65942 100.03499 100.03999 100.65287 100.57336  99.93998  99.95999 #>  [15191] 100.33444  99.85489 100.23971  99.71459  99.86491 100.44899  99.81483 #>  [15198]  99.77976 100.46392  99.51382  99.90996 100.21477  99.84488  99.81483 #>  [15205]  99.61928  99.84989 100.09995 100.41414 100.35935  99.92497 100.06498 #>  [15212]  99.66945 100.64790  99.39819  99.85489  99.93498  99.56907  99.90996 #>  [15219]  99.60924 100.47388  99.88994  99.70456  99.72963  99.90495  99.26732 #>  [15226] 100.02000 100.09495 100.10994 100.09995 100.18982  99.83486 100.12992 #>  [15233]  99.74467 100.28958  99.97000  99.79479  99.65942  99.71961  99.88493 #>  [15240] 100.12992  99.70958  99.78978 100.10494  99.52889  99.89494  99.99500 #>  [15247] 100.26964  99.87492 100.72735  99.70456  99.95999 100.11993  99.76973 #>  [15254]  99.60924 100.12492 100.06998 100.42908  99.57409  99.49372 100.38924 #>  [15261]  99.67949  99.82986  99.87492 100.54850  99.68450  99.45853 100.32447 #>  [15268] 100.43904 100.00000 100.02500  99.87492 100.00000 100.10494 100.03000 #>  [15275] 100.29457  99.80481 100.08996  99.88493  99.84989  99.89995 100.01000 #>  [15282] 100.13491  99.87492 100.02000  99.75971 100.08496 100.47885  99.99500 #>  [15289]  99.78477  99.80481 100.15488 100.07997  99.77976  99.55903 100.38426 #>  [15296]  99.59920  99.98000 100.40418 100.10494 100.48383 100.09995  99.66945 #>  [15303]  99.74467 100.13990 100.13491  99.90996 100.26465 100.00500  99.82485 #>  [15310]  99.81483  99.79479 100.05998 100.14989  99.85990  99.45351 100.36434 #>  [15317]  99.77475  99.99000  99.97500  99.83486  99.24213 100.14989  99.78978 #>  [15324] 100.51865 100.45895  99.85489 100.45895  99.90495 100.16486 100.11493 #>  [15331] 100.29955 100.58330  99.61928 100.32447  99.93998  99.87492 100.43406 #>  [15338]  99.86491  99.68450 100.08496  99.55903  99.72462 100.30952 100.32447 #>  [15345] 100.26465 100.14490  99.80982 100.42410 100.47885  99.76472  99.58414 #>  [15352] 100.16486  99.18165 100.01000 100.03499  99.95499 100.04499  99.95999 #>  [15359] 100.00500  99.76973  99.79479  99.39819 100.46890  99.77475  99.37303 #>  [15366] 100.63797 100.24470  99.85489  99.38813 100.20978  99.98000 100.15987 #>  [15373]  99.81483  99.87993 100.01500 100.26465  99.96499 100.02500 100.68267 #>  [15380] 100.14490  99.86491  99.66945 100.01000  99.80481  99.65440 100.04499 #>  [15387] 100.11993  99.81984  99.94498  99.83486  99.99500 100.02500 100.03499 #>  [15394]  99.90996  99.53894  99.87993 100.66777 100.13990  99.99500 100.14989 #>  [15401]  99.75470  99.94498  99.86491  99.32774 100.27961  99.84989 100.13990 #>  [15408] 100.19481  99.86992  99.95999 100.10994  99.97500 100.12992 100.01000 #>  [15415]  99.80982  99.48367 100.08496  99.81984  99.86992  99.88493 100.14989 #>  [15422] 100.48383  99.60422  99.68450  99.65440 100.08496  99.73966 100.03499 #>  [15429] 100.15488 100.19980 100.30454  99.76472 100.02000 100.02500 100.31451 #>  [15436]  99.75971 100.27961  99.96499  99.80481 100.37430  99.52889  99.72963 #>  [15443]  99.78978  99.56907 100.28460 100.21976 100.06498  99.76472 100.33444 #>  [15450]  99.86992 100.04499 100.13990  99.72963  99.86491 100.06998  99.77475 #>  [15457]  99.95999  99.86491  99.63433  99.43842  99.53391 100.39920  99.67949 #>  [15464] 100.06498  99.55401 100.11993  99.61426 100.00500  99.80982  99.61928 #>  [15471] 100.41912 100.14490  99.88493  99.74969  99.53391  99.98000  99.84488 #>  [15478] 100.02000  99.93498 100.41912 100.06498 100.19481  99.61426  99.77475 #>  [15485] 100.38426  99.98500  99.35291 100.09495 100.13491  99.49372  99.69453 #>  [15492]  99.65440 100.47388  99.95999  99.90495  99.53391 100.17984 100.65784 #>  [15499] 100.12492 100.54850 100.58330 100.47885  99.70958 100.00000 100.33942 #>  [15506]  99.71961  99.83987 100.26964 100.17984 100.07997 100.31451 100.22475 #>  [15513] 100.16486 100.18483  99.63433 100.06998 100.34441  99.81984 100.12992 #>  [15520] 100.01000  99.50377 100.23971 100.19980 100.50373  99.54898 100.75217 #>  [15527]  99.68450  99.82986 100.08996  99.58916 100.39920  99.99500  99.69955 #>  [15534] 100.14490 100.06498  99.57409 100.02500  99.86992  99.98500 100.15488 #>  [15541]  99.92998  99.98000 100.03000  99.79479 100.50373 100.21976 100.10494 #>  [15548]  99.89494 100.28460 100.39422  99.96499  99.77976 100.18982 100.41912 #>  [15555] 100.45895 100.56838  99.66444  99.87993 100.20479  99.61928  99.85990 #>  [15562]  99.70456 100.00500 100.63797  99.82986 100.39920  99.76973 100.19481 #>  [15569] 100.35437  99.72963 100.22974 100.16486 100.66280  99.75470  99.70456 #>  [15576]  99.98000  99.79479  99.70958 100.09495  99.58414  99.92497  99.68450 #>  [15583] 100.15987  99.97000  99.95999  99.68450  99.60924  99.48869 100.35437 #>  [15590] 100.01500  99.71961 100.13990  99.81984  99.95499  99.61426  99.83486 #>  [15597]  99.70456 100.18483 100.25966  99.99500 100.43406 100.19980 100.10494 #>  [15604] 100.12492 100.29457 100.40418 100.83154  99.75971 100.00000  99.82485 #>  [15611]  99.84989  99.89995  99.45853  99.45853 100.07997  99.53894 100.22475 #>  [15618] 100.67770 100.13491 100.06998 100.12492  99.78978 100.39920 100.04499 #>  [15625] 100.11493 100.26465 100.41414 100.39422  99.64437  99.88493 100.15488 #>  [15632] 100.14490  99.44345  99.62931  99.90996 100.03000 100.02000 100.03000 #>  [15639] 100.60815  99.99500  99.66945 100.02000 100.24969 100.41912 100.22974 #>  [15646]  99.75470 100.56838  99.93498 100.33942 100.43406  99.62931  99.76973 #>  [15653] 100.05998  99.92998 100.29955  99.75971  99.63433 100.33444  99.70958 #>  [15660]  99.92998 100.30454  99.96499  99.77475 100.26964 100.18982 100.09495 #>  [15667]  99.98000 100.03999 100.44899 100.05998 100.30952 100.47388  99.89494 #>  [15674] 100.40916  99.75971  99.71961  99.98500  99.77976  99.59418  99.87492 #>  [15681]  99.80481 100.37430  99.44345  99.83987  99.91496 100.23472  99.69453 #>  [15688] 100.46890  99.84989 100.46890  99.90495 100.01500  99.63433 100.45895 #>  [15695]  99.73966  99.30257 100.11993  99.60422 100.43406  99.39316  99.89494 #>  [15702]  99.92497 100.01000 100.00000  99.76973  99.75971  99.85990  99.88994 #>  [15709]  99.95499  99.94498 100.09495  99.48869  99.86491 100.02000  99.79980 #>  [15716]  99.80982  99.98500  99.46859  99.67447  99.72963  99.76472  99.50377 #>  [15723]  99.68952 100.20978  99.38310  99.78477  99.59920 100.12992  99.54396 #>  [15730]  99.99000 100.31949  99.51884 100.26465  99.88994 100.15488  99.86491 #>  [15737]  99.88493  99.96499 100.10494  99.82986 100.05998  99.99000 100.19980 #>  [15744]  99.89494 100.08496 100.43904 100.18483 100.28958 100.04499  99.46356 #>  [15751]  99.80982  99.98000  99.87993 100.04499 100.09995  99.67949  99.86992 #>  [15758] 100.07997 100.14989 100.40418  99.98000  99.72963  99.62429  99.56405 #>  [15765]  99.99500  99.70958  99.91997 100.11993  99.86491  99.82485 100.01000 #>  [15772] 100.05998  99.60422  99.82485  99.67949  99.71459  99.60924 100.11993 #>  [15779] 100.00000 100.07997 100.17984  99.87993 100.07497  99.76472 100.12492 #>  [15786] 100.06998  99.43339  99.87993 100.10994  99.72462 100.10494 100.42410 #>  [15793] 100.11993 100.30454 100.00500  99.76973  99.83486  99.59920  99.77976 #>  [15800] 100.27961  99.79479  99.76472  99.72462 100.33444  99.61928  99.51884 #>  [15807] 100.16986  99.66444 100.04499  99.74969 100.00500  99.77976  99.83486 #>  [15814]  99.95499 100.09495 100.18483  99.83486 100.90590 100.11993  99.75971 #>  [15821]  99.80481  99.75470  99.79479 100.44899 100.21477  99.84989 100.28958 #>  [15828]  99.96499  99.86491 100.55347  99.75971 100.54850  99.99500 100.04499 #>  [15835] 100.13990  99.44345  99.86992  99.91496  99.64437  99.66444  99.90495 #>  [15842] 100.30454  99.81483  99.48869  99.39316  99.71961 100.07997 100.50373 #>  [15849] 100.04499 100.34939  99.99000 100.46890  99.88493 100.14989 100.50373 #>  [15856] 100.21976 100.14989 100.28460  99.92998  99.83987  99.94498  99.86992 #>  [15863] 100.13990  99.79479 100.15987  99.89995 100.12492 100.39422  99.74467 #>  [15870]  99.94999  99.47361 100.24969 100.16486 100.36932  99.70958 100.12492 #>  [15877]  99.52387 100.24969  99.81483 100.16986  99.55401  99.91496  99.71459 #>  [15884]  99.82986 100.00500 100.00500  99.88994 100.07997 100.23971  99.96499 #>  [15891] 100.14490 100.59324 100.05498 100.00500  99.72963  99.82986 100.40916 #>  [15898] 100.21976 100.34441  99.69955  99.36297  99.71961  99.88493  99.94498 #>  [15905] 100.23472 100.64293  99.84989  99.78477 100.10494  99.42837  99.62931 #>  [15912] 100.07997  99.69453 100.43904 100.04499 100.60318  99.82986  99.65942 #>  [15919] 100.58330 100.06498  99.81984  99.89995  99.86992  99.86992  99.92497 #>  [15926] 100.08496 100.35437  99.73966 100.03499 100.46392 100.01000  99.80982 #>  [15933]  99.58916  99.82986 100.37430  99.84989 100.18483 100.07997  99.93498 #>  [15940]  99.76973 100.11493 100.04499 100.18483 100.00000  99.79980 100.18982 #>  [15947] 100.25966  99.81984 100.51368  99.93998 100.49378 100.68267  99.92998 #>  [15954]  99.58414 100.56838  99.34787  99.70958 100.32946 100.21976  99.68450 #>  [15961] 100.35437  99.60422 100.00000 100.13990 100.29457 100.28460  99.48367 #>  [15968]  99.64939  99.53894 100.05998 100.40916  99.71961 100.19980  99.87492 #>  [15975]  99.98500 100.41414  99.67447  99.99500 100.03499 100.16486  99.82986 #>  [15982] 100.17984 100.09495 100.63797  99.76973  99.93998 100.04499 100.17485 #>  [15989]  99.84488 100.05998 100.24969  99.90495 100.34441  99.81984  99.62931 #>  [15996]  99.53391  99.68952  99.88493 100.04999  99.47864  99.91997  99.75971 #>  [16003]  99.47361  99.74467 100.05998 100.08496  99.75971 100.18483  99.99000 #>  [16010]  99.72462  99.62931 100.25966 100.45895 100.03999 100.20479 100.19980 #>  [16017]  99.94999 100.44899 100.06998 100.14490  99.58414 100.23971 100.13990 #>  [16024] 100.05998 100.11993  99.79479  99.83987 100.12492 100.08496 100.09995 #>  [16031]  99.84488  99.57911  99.94999 100.51865  99.81984 100.13491 100.24470 #>  [16038]  99.65440 100.14989  99.62931  99.33277 100.02000  99.93998  99.89995 #>  [16045]  99.95999  99.87993  99.79479  99.88994  99.99500  99.83486 100.02500 #>  [16052]  99.91997 100.16986  99.76973 100.05998  99.99000 100.55844  99.52889 #>  [16059]  99.88493 100.63797  99.68952  99.94498  99.91496 100.45397 100.24470 #>  [16066] 100.42908 100.13491 100.48881 100.34441  99.84488 100.09995 100.21976 #>  [16073] 100.07997  99.62429  99.92998 100.40418 100.09495 100.15488 100.50373 #>  [16080]  99.79980  99.82986 100.22974 100.19980 100.23971 100.15488 100.23472 #>  [16087] 100.21477 100.33942 100.41414 100.27961 100.22475  99.75470  99.81483 #>  [16094]  99.62429 100.23472  99.41831 100.22974  99.86491  99.88493 100.29955 #>  [16101] 100.44401  99.50377 100.27961 100.02000 100.00500 100.03499  99.99500 #>  [16108] 100.06998 100.47388  99.67447 100.45895  99.65942  99.94498  99.66945 #>  [16115] 100.29955  99.73966 100.60318  99.24717  99.95999 100.30454  99.70958 #>  [16122]  99.83486  99.80481 100.14490 100.07497 100.35935 100.51368  99.82986 #>  [16129] 100.23472  99.83486  99.92998  99.70958 100.22475 100.12492 100.19481 #>  [16136] 100.01000 100.12992 100.12992 100.15987  99.76973 100.07997  99.53894 #>  [16143]  99.84488 100.17485 100.54352  99.90996 100.13990  99.59920  99.84488 #>  [16150] 100.48383 100.09995 100.20978 100.27462  99.65942 100.79186 100.34939 #>  [16157]  99.71961 100.27462 100.26465 100.01500 100.11993  99.62429 100.06998 #>  [16164] 100.38426  99.95999  99.67949 100.18483 100.42410 100.03000  99.44345 #>  [16171] 100.10994  99.55401 100.02500 100.11493  99.97000  99.74467  99.77475 #>  [16178]  99.73966  99.72462  99.82485 100.29955 100.06998  99.66945  99.86491 #>  [16185] 100.21477 100.08996  99.58916  99.54396  99.77976 100.39920  99.85489 #>  [16192] 100.05998  99.59920  99.52387 100.05998 100.11493 100.12992 100.35935 #>  [16199]  99.24213  99.75971  99.91997 100.45397  99.97500  99.73966 100.27961 #>  [16206] 100.17485  99.70958  99.33781  99.73966  99.65942 100.16486  99.36297 #>  [16213]  99.61928  99.66444 100.53855  99.89995  99.84488  99.76973  99.76472 #>  [16220] 100.33942 100.41912  99.99500 100.16986  99.65440  99.58916 100.00000 #>  [16227] 100.05998  99.63935 100.03999 100.04999  99.89494 100.33444 100.56341 #>  [16234] 100.13990 100.34939 100.43406  99.56907 100.51865 100.14989 100.44899 #>  [16241]  99.87993  99.59920 100.60318 100.06498 100.06498  99.68450  99.39316 #>  [16248]  99.49874 100.71246  99.85990 100.40916  99.90495 100.30952  99.81483 #>  [16255] 100.16986 100.09995  99.79479 100.16486 100.19980  99.87993  99.94999 #>  [16262] 100.11993 100.59324  99.65942  99.81984 100.22974 100.01500 100.41414 #>  [16269]  99.69955 100.36932 100.08496  99.75971  99.64939 100.07497 100.19980 #>  [16276]  99.64939  99.69955 100.37928  99.85489  99.90495 100.00000  99.49372 #>  [16283] 100.16486 100.25468 100.12492 100.07497 100.00500 100.16486 100.04499 #>  [16290]  99.44345  99.48367  99.32271 100.27961 100.08496 100.02000  99.86491 #>  [16297]  99.99000 100.34441 100.24969 100.12992 100.09495 100.06998 100.26465 #>  [16304] 100.34441  99.52889  99.49372  99.71961 100.29457  99.83987  99.49372 #>  [16311]  99.95999  99.85990  99.49372 100.25468  99.86491  99.56907 100.09995 #>  [16318]  99.80481 100.26964  99.91997  99.98500  99.78477  99.32271 100.83650 #>  [16325]  99.86491 100.41414  99.52889 100.41414 100.41912 100.27462 100.09495 #>  [16332] 100.57833  99.62931  99.99000  99.98000  99.92497 100.30952 100.05998 #>  [16339]  99.98000  99.93498 100.08996 100.07997 100.10994  99.68952  99.81483 #>  [16346]  99.86992  99.44848  99.69453 100.24969 100.19980  99.73966  99.83486 #>  [16353] 100.10994  99.59920 100.37928 100.10494 100.72735 100.28958  99.92998 #>  [16360] 100.08996  99.86992 100.23971 100.13491 100.04499  99.88493  99.72462 #>  [16367]  99.80982 100.08496  99.84989 100.20479 100.29457  99.97000  99.84488 #>  [16374] 100.27462  99.73966  99.79479  99.99000  99.91496  99.92497  99.86491 #>  [16381] 100.41414 100.04499 100.19481  99.67447 100.30454  99.76472 100.08496 #>  [16388] 100.20479  99.86992  99.70958 100.23472 100.07497  99.63935 100.03000 #>  [16395] 100.04999  99.68450  99.68952 100.59821 100.45895 100.28460 100.20978 #>  [16402]  99.93998 100.03999 100.00500 100.11493 100.24969  99.47864  99.75470 #>  [16409] 100.02500  99.73966  99.50879  99.48869 100.36932  99.86992  99.90495 #>  [16416] 100.18982  99.78477  99.67949  99.60422 100.16986 100.46392 100.26465 #>  [16423] 100.63797 100.02000  99.83987 100.42908 100.06998  99.91496 100.16986 #>  [16430] 100.24470  99.87993 100.34441 100.02000 100.19980 100.05498 100.12992 #>  [16437] 100.57336  99.85489 100.03499  99.67447 100.13990 100.03999  99.65440 #>  [16444] 100.01500  99.70456 100.43406 100.22974  99.90996  99.83486  99.92998 #>  [16451] 100.03499 100.25966  99.43842 100.04999  99.59418 100.26964 100.50871 #>  [16458]  99.76472  99.55401 100.51865 100.29457 100.14490  99.90495 100.35935 #>  [16465] 100.20479 100.11993  99.89995  99.88493 100.19980 100.05998 100.44401 #>  [16472]  99.97000 100.10994  99.74969  99.77976 100.05998  99.88493 100.40418 #>  [16479] 100.31451  99.86992  99.70456  99.90495 100.00000  99.88493 100.07997 #>  [16486]  99.88994  99.62931  99.80982 100.18982 100.10494 100.00000  99.98500 #>  [16493]  99.92497  99.70456 100.13491  99.79980  99.93998 100.35437  99.47864 #>  [16500] 100.30952 100.03499  99.91997  99.70958  99.98000  99.87492  99.88493 #>  [16507]  99.98000  99.65942 100.31451 100.43904 100.34939 100.14989 100.04999 #>  [16514]  99.91997  99.52889  99.95499 100.13491 100.04999 100.35935 100.10994 #>  [16521]  99.98500 100.27961 100.46392 100.18483 100.12492 100.00000  99.60422 #>  [16528] 100.05998 100.35437  99.82986 100.56341 100.00500  99.45351  99.73966 #>  [16535] 100.26465  99.75971 100.04499  99.80982  99.89494 100.37430 100.48383 #>  [16542]  99.50377  99.76973  99.99500  99.94999 100.11493 100.18483 100.31949 #>  [16549] 100.32946 100.21477  99.81984 100.49378  99.86491 100.25966  99.87492 #>  [16556]  99.78978 100.03000  99.61426 100.04499 100.30952  99.49874 100.06498 #>  [16563]  99.99500 100.26964 100.14989  99.71459 100.16986 100.62306 100.03999 #>  [16570]  99.59418 100.00500 100.14490 100.16486 100.14989  99.63935 100.14989 #>  [16577] 100.43406  99.64939  99.69453 100.29457  99.96499 100.09995 100.30952 #>  [16584] 100.13990  99.90495  99.94498 100.37430 100.29457  99.71459  99.94498 #>  [16591] 100.32946 100.04999 100.26964  99.49874 100.26465 100.09995  99.55903 #>  [16598] 100.38426  99.78477  99.80481 100.42908  99.72963 100.25468 100.31451 #>  [16605]  99.89995 100.10494  99.76472  99.61928 100.21976  99.89494  99.59920 #>  [16612]  99.74969  99.88994  99.94999  99.83987 100.24969 100.36434  99.85990 #>  [16619]  99.99500  99.77475  99.76472 100.18483  99.92998  99.95499  99.80982 #>  [16626]  99.73465 100.53358 100.16986 100.16986 100.24969 100.08996 100.18483 #>  [16633]  99.75971  99.93498 100.05998  99.81984  99.79479 100.43406 100.10494 #>  [16640]  99.22701 100.25966 100.10994 100.37928  99.75971  99.48869  99.97500 #>  [16647]  99.84989 100.05498  99.84488 100.36932  99.80481  99.69453  99.76472 #>  [16654]  99.91997 100.63300 100.24470  99.90996  99.55401 100.30454 100.01000 #>  [16661]  99.40322  99.97000 100.24969  99.60924 100.14490  99.92998 100.05498 #>  [16668]  99.79479  99.98000 100.25966  99.68952 100.00000  99.95999 100.20978 #>  [16675] 100.25468  99.69955 100.05998  99.03030 100.00500  99.78978 100.28460 #>  [16682]  99.79980  99.99500  99.51382  99.75971  99.92998 100.26964 100.05498 #>  [16689]  99.56907  99.76973  99.71459 100.15488 100.33942  99.70958 100.15488 #>  [16696]  99.62429 100.46890 100.08996  99.83486  99.90996 100.41912  99.90495 #>  [16703]  99.99500 100.72735 100.05498 100.02500 100.22475  99.54898 100.19481 #>  [16710]  99.52387 100.12492  99.58414 100.21976  99.63433 100.07997 100.12992 #>  [16717] 100.25966 100.44401  99.55401  99.88994 100.14989  99.87993 100.58827 #>  [16724]  99.73966  99.69453 100.15987  99.42837 100.49378 100.20479  99.93998 #>  [16731] 100.32946 100.59324 100.06998 100.48881  99.68450  99.48869 100.42410 #>  [16738]  99.89494 100.01500 100.41912 100.03000 100.32946 100.16986 100.27462 #>  [16745] 100.20479 100.22475  99.99000  99.72462 100.29457 100.04499 100.13990 #>  [16752] 100.32946 100.02500 100.17485  99.75470  99.86491 100.25468  99.80982 #>  [16759]  99.85489 100.54352 100.12992  99.73465  99.87492 100.16486 100.07497 #>  [16766] 100.00500 100.06498 100.13491  99.51382 100.02000 100.17485  99.61426 #>  [16773]  99.76973 100.21477 100.02500  99.82485  99.62931 100.19980  99.56907 #>  [16780]  99.98500  99.82485  99.83486  99.74467 100.11993  99.95999 100.39920 #>  [16787] 100.18483 100.29457  99.90996 100.13990  99.50879 100.29955 100.18483 #>  [16794] 100.04499 100.17984  99.94498  99.53894  99.52889 100.37430  99.42837 #>  [16801]  99.72963 100.52860 100.14989  99.56405  99.76973 100.05998 100.17485 #>  [16808]  99.57409  99.89494  99.91496  99.59920  99.72963  99.79980 100.23971 #>  [16815] 100.17485  99.72462  99.25724  99.61928 100.06998  99.86491  99.81984 #>  [16822]  99.84488  99.94498 100.14490  99.83486  99.86491 100.11993 100.14989 #>  [16829] 100.34939 100.30952 100.32946 100.12992 100.21976  99.55903  99.66945 #>  [16836]  99.46859 100.54352  99.59920  99.74969 100.53358  99.87492 100.26465 #>  [16843]  99.43339 100.42410 100.23971  99.89995  99.70456  99.38310  99.71961 #>  [16850] 100.28958 100.10994  99.45351 100.07997  99.97000 100.18982  99.58916 #>  [16857]  99.97000 100.21477  99.94999  99.49874  99.50879  99.75971  99.84989 #>  [16864] 100.24969 100.21477  99.57409  99.57409  99.67447  99.51884  99.88493 #>  [16871]  99.66444  99.87993 100.24969  99.54898  99.77475  99.57409  99.77976 #>  [16878] 100.48383  99.48869  99.60422  99.91496  99.81984 100.06498 100.44899 #>  [16885] 100.05498  99.99500  99.93498  99.82485  99.92497 100.24470  99.85489 #>  [16892]  99.91496 100.16986  99.74969 100.13990  99.85990 100.26465 100.69757 #>  [16899]  99.83987 100.24969  99.72963  99.84989 100.68764 100.76210 100.22974 #>  [16906]  99.46859 100.27462  99.93998  99.76973  99.64939  99.55401 100.56341 #>  [16913] 100.04499  99.85990 100.32447 100.40418 100.27961 100.00000  99.94999 #>  [16920]  99.44345  99.97000 100.48383 100.09495  99.91997  99.68952  99.66945 #>  [16927]  99.54898 100.07997  99.46859 100.24969 100.00500  99.60924  99.81483 #>  [16934]  99.77976  99.74467  99.58916  99.53391  99.95999 100.02000  99.41328 #>  [16941]  99.76973 100.01500 100.00500  99.67949  99.86992 100.48881  99.42334 #>  [16948]  99.61928 100.35437 100.03499  99.97500  99.61928  99.73966  99.63433 #>  [16955]  99.95499 100.49876 100.19980 100.08496  99.67949  99.90996  99.62429 #>  [16962] 100.02000  99.60924 100.06498  99.29753  99.80481 100.11993  99.59418 #>  [16969] 100.07497 100.04999 100.04499  99.83486  99.53391 100.21477 100.63797 #>  [16976]  99.73966 100.08996  99.93998  99.95499  99.58414  99.68450 100.17485 #>  [16983] 100.08496  99.54898  99.92497 100.24470 100.10994 100.08496  99.73966 #>  [16990]  99.71459  99.82485 100.01000  99.82986  99.88994  99.88994  99.65942 #>  [16997] 100.54352  99.89995  99.88994 100.29457 100.18483  99.42334  99.75971 #>  [17004] 100.01000  99.45351 100.16986  99.55903 100.05998  99.70456  99.50377 #>  [17011]  99.69453 100.27961  99.94498 100.16486  99.87492  99.73966 100.44401 #>  [17018]  99.54898  99.82485  99.90495  99.98500  99.89995 100.07997 100.14989 #>  [17025]  99.76973 100.31949 100.16986 100.15488 100.14490 100.04999 100.51865 #>  [17032] 100.08996 100.24470 100.07497  99.85990 100.25966 100.40916 100.28460 #>  [17039] 100.24470  99.98000 100.15488 100.12992 100.16986  99.43842 100.31949 #>  [17046] 100.41414  99.17157  99.88493 100.32946 100.23472 100.38426 100.06998 #>  [17053]  99.72963  99.59920  99.82986 100.15488  99.80481  99.67949  99.91496 #>  [17060] 100.30952 100.14490 100.49876  99.72963  99.60924  99.84488  99.90996 #>  [17067]  99.82986 100.26964  99.41328 100.12992  99.97500 100.08996  99.57409 #>  [17074]  99.47361 100.26465  99.98000 100.11993  99.61928 100.15488 100.21477 #>  [17081] 100.04999  99.54396  99.73966 100.19481 100.03000  99.92497 100.18483 #>  [17088] 100.19980  99.31264  99.94498 100.25468 100.20479  99.84488  99.65942 #>  [17095]  99.77976 100.36932 100.63797 100.43406  99.97000  99.81984 100.02500 #>  [17102] 100.12492 100.32447 100.47388 100.02000  99.66945  99.94999 100.15488 #>  [17109] 100.78690 100.37430  99.78978 100.36932 100.05498 100.34939 100.00000 #>  [17116] 100.34441  99.48869  99.62429 100.07497 100.67274  99.99000  99.97500 #>  [17123] 100.12492 100.05498 100.19980 100.09495  99.73465  99.72963  99.40322 #>  [17130]  99.46356 100.44401 100.06998 100.13491  99.68450 100.37430  99.73465 #>  [17137]  99.47361  99.77475 100.35935  99.98000 100.00500  99.67949  99.76472 #>  [17144]  99.81483 100.37928 100.13491  99.87993 100.28958  99.46859 100.03999 #>  [17151]  99.82986 100.27462 100.20479 100.26465  99.37303  99.97500  99.75470 #>  [17158] 100.11993  99.86992  99.89494  99.92497  99.83486  99.68450  99.62931 #>  [17165] 100.03499  99.64437 100.05998 100.24969 100.14989  99.69955 100.39422 #>  [17172] 100.02000 100.04499 100.10994 100.06998 100.45397  99.45351  99.60422 #>  [17179] 100.09995  99.67447  99.76973 100.03000  99.91997  99.87492 100.16986 #>  [17186]  99.70456  99.70456 100.01500  99.99000 100.09995  99.52889 100.02500 #>  [17193]  99.95499 100.07997 100.41414  99.66945 100.04999 100.46890  99.90996 #>  [17200] 100.15987  99.54396  99.98500  99.99500 100.30454 100.01000 100.36434 #>  [17207]  99.94498  99.61426 100.01000 100.09495 100.33942  99.73966 100.20479 #>  [17214]  99.51382  99.95999 100.06998 100.56341 100.00500 100.34441  99.75971 #>  [17221]  99.81984 100.03000  99.92998  99.76973  99.80982  99.54898 100.38426 #>  [17228]  99.99000  99.97000  99.79479  99.84488 100.15488 100.04999  99.63935 #>  [17235] 100.20978  99.99500 100.50871 100.08496 100.53358 100.09995  99.70958 #>  [17242] 100.07497  99.82485  99.99000 100.20479  99.99500  99.86491 100.54352 #>  [17249] 100.38924  99.71459  99.77475  99.75971  99.90996  99.97500  99.91496 #>  [17256]  99.77976 100.29457 100.03000  99.85990 100.26465 100.25966 100.02000 #>  [17263]  99.96499  99.70958 100.11993  99.82986  99.97000 100.11493  99.86992 #>  [17270] 100.17485 100.05498  99.85990  99.83987  99.75971  99.78978 100.44899 #>  [17277]  99.66444 100.11493 100.24969 100.13491 100.12492  99.85990 100.29457 #>  [17284]  99.47361 100.58827 100.00500  99.97500  99.93998  99.88994 100.18982 #>  [17291]  99.80982  99.99000 100.36932 100.21976  99.70456  99.70958 100.03999 #>  [17298] 100.01500 100.01000 100.03000 100.08996  99.85489 100.34441  99.82986 #>  [17305]  99.81483  99.93998  99.87492 100.33942  99.56907  99.64939  99.90996 #>  [17312] 100.36932 100.04499  99.59418 100.21976 100.31949 100.02500  99.74467 #>  [17319]  99.74969 100.19481  99.69955  99.92497 100.25966 100.05498  99.80982 #>  [17326] 100.27961 100.08496  99.92497  99.89494  99.94498  99.83486  99.97500 #>  [17333]  99.89995  99.97000 100.44401 100.16486  99.47864 100.32447  99.63433 #>  [17340] 100.50373 100.13491  99.87993  99.62429  99.91997  99.89494  99.90495 #>  [17347]  99.58414  99.63935 100.13491  99.65942  99.42334 100.28460  99.77475 #>  [17354] 100.06498  99.59418  99.86491  99.94999 100.10994  99.98500 100.24470 #>  [17361]  99.80481 100.08996  99.92998 100.11493  99.59418  99.95499 100.06498 #>  [17368] 100.40418  99.30760 100.42410  99.93998  99.47864  99.86491 100.34939 #>  [17375] 100.06998 100.03499  99.96499  99.94999 100.58827  99.88493  99.54396 #>  [17382]  99.73966 100.22974  99.99000  99.45853  99.76472 100.06498 100.13491 #>  [17389]  99.95999 100.34441 100.24969  99.71961 100.05998  99.64437 100.21976 #>  [17396]  99.93998  99.91496  99.48367  99.93998  99.53894 100.00000  99.93498 #>  [17403] 100.24969 100.10494  99.56907  99.75470  99.78477 100.28958 100.02000 #>  [17410] 100.11993  99.78978 100.14490  99.97000 100.12992  99.76973 100.43406 #>  [17417]  99.76973 100.19481 100.18483 100.25966 100.10994 100.45895 100.07997 #>  [17424] 100.37928 100.06498  99.94498 100.01000  99.89995 100.08996 100.11493 #>  [17431] 100.03000 100.01000 100.19980 100.15987  99.67949  99.74969  99.73465 #>  [17438] 100.15488 100.18483 100.13491 100.19980 100.09995  99.90996  99.36297 #>  [17445] 100.03499  99.73465 100.19980  99.78477 100.13990 100.42908 100.03999 #>  [17452]  99.84488  99.96499 100.28460  99.69955  99.80481 100.18982  99.77475 #>  [17459] 100.10494  99.97500  99.65440 100.00000  99.98500  99.72462  99.95499 #>  [17466] 100.54352 100.27961 100.07997  99.27235  99.76973 100.32447 100.24470 #>  [17473]  99.97000  99.87492 100.12992  99.26228 100.42908 100.03999  99.53894 #>  [17480]  99.32774  99.62429 100.22974  99.86491  99.93498 100.23971  99.93498 #>  [17487]  99.54396 100.27462 100.39422  99.75971  99.59920 100.05498 100.00500 #>  [17494] 100.16986 100.22974  99.49372  99.82485 100.10494 100.36434 100.12492 #>  [17501] 100.21976 100.24470 100.07997  99.83486  99.96499 100.16486 100.02500 #>  [17508]  99.79980 100.03000 100.31949  99.86992  99.95999 100.36932 100.32946 #>  [17515]  99.88994  99.90495  99.83486  99.93998 100.08996  99.77475  99.60422 #>  [17522] 100.41912  99.98500 100.01000 100.03999  99.85489  99.94999 100.06498 #>  [17529] 100.16986 100.15488 100.24969  99.74467 100.13491  99.73465  99.87492 #>  [17536]  99.91997  99.73465 100.31949  99.80481 100.08996  99.92998  99.66945 #>  [17543]  99.55903  99.82986 100.04999 100.04999 100.40418  99.72963  99.87492 #>  [17550] 100.06498 100.34441 100.22974  99.94999 100.08996  99.54396 100.03499 #>  [17557]  99.91496  99.88994  99.97000 100.03499  99.81984 100.53358  99.82986 #>  [17564] 100.14989  99.88493  99.52387 100.03999 100.37430 100.05498  99.80982 #>  [17571] 100.19980 100.11493 100.04499  99.94498 100.01000 100.28460  99.13123 #>  [17578] 100.05498  99.79479  99.57911 100.28958 100.10994  99.97000 100.23971 #>  [17585]  99.71459 100.26964  99.84488 100.38426 100.31949  99.80481  99.99500 #>  [17592] 100.40418 100.05498  99.98500  99.89494 100.05998  99.50377  99.84989 #>  [17599]  99.95999 100.13491  99.82986  99.87993 100.48881  99.50377  99.94999 #>  [17606]  99.69453  99.71459 100.23472  99.91496  99.91997  99.79479  99.42837 #>  [17613]  99.90996 100.28460 100.00500 100.29955  99.61426 100.15987  99.92998 #>  [17620] 100.05998  99.83987  99.77976 100.29955 100.07997 100.10994 100.05498 #>  [17627] 100.56341  99.86491  99.79980  99.71459  99.81483  99.80481 100.00000 #>  [17634] 100.20479  99.87993  99.69955  99.77976  99.79980 100.37928 100.48383 #>  [17641]  99.67447 100.00000 100.29955  99.85489 100.19481  99.92497  99.91997 #>  [17648]  99.94498 100.14490  99.62931  99.65440 100.27462 100.34441 100.20479 #>  [17655] 100.61312 100.07997  99.87993 100.30454  99.41328 100.45895 100.29457 #>  [17662]  99.30257  99.92497  99.51884 100.34441  99.97000  99.96499  99.72963 #>  [17669] 100.39422 100.05998 100.18483 100.03499 100.22475 100.01000  99.77976 #>  [17676]  99.87993 100.07997  99.86491  99.90996 100.12492 100.47885 100.05998 #>  [17683]  99.78477 100.29955 100.01500 100.02000 100.52860  99.96499  99.91496 #>  [17690]  99.30257 100.68764  99.73465 100.05998 100.25468 100.47388 100.09995 #>  [17697] 100.21477 100.27462 100.09495 100.41912  99.77976 100.71743  99.95499 #>  [17704] 100.06998  99.91496 100.06998 100.41414 100.33444 100.33942 100.10994 #>  [17711] 100.41414 100.26465 100.17485  99.98000 100.43904  99.78978 100.14490 #>  [17718] 100.19980  99.60422  99.82485  99.97500  99.80982 100.15488 100.07497 #>  [17725] 100.05498 100.26465 100.30952  99.65440 100.12492 100.09495 100.15987 #>  [17732]  99.97500 100.05498 100.08996 100.23971 100.02000  99.68952  99.94498 #>  [17739]  99.46356 100.54850  99.66945  99.71459 100.33942  99.97000  99.65440 #>  [17746]  99.91997 100.40916  99.79479 100.48881  99.74467 100.24969  99.64939 #>  [17753]  99.56405 100.20978 100.20978  99.70456  99.41831 100.10494 100.07497 #>  [17760] 100.57833 100.54352 100.35437 100.08496 100.22974 100.11493  99.99500 #>  [17767]  99.83987  99.86491 100.19481 100.01000 100.09995 100.72239 100.44899 #>  [17774] 100.15987 100.22974 100.19481  99.53894  99.93498  99.41831  99.89494 #>  [17781]  99.59418  99.74467  99.68450  99.81984 100.48881 100.22974 100.03000 #>  [17788] 100.14490  99.94498  99.88493 100.05998 100.40418  99.90996 100.46890 #>  [17795] 100.36932 100.42410  99.63433 100.20479 100.27961 100.18483 100.43406 #>  [17802]  99.98000 100.05498  99.44345  99.95999  99.65942  99.92497  99.78477 #>  [17809] 100.15987  99.92497  99.90495 100.62803  99.91997  99.60422  99.98000 #>  [17816] 100.28958  99.78477 100.28460  99.97000 100.54850  99.63433  99.85489 #>  [17823] 100.26465 100.30454 100.01000  99.65942  99.72963 100.47388  99.72963 #>  [17830] 100.26964  99.73966 100.13491  99.36297  99.64939 100.22475 100.50871 #>  [17837] 100.21477 100.08496 100.56838  99.81483 100.10494  99.57911  99.90495 #>  [17844]  99.96499  99.42334 100.29955  99.78978 100.02000 100.28958 100.10494 #>  [17851]  99.80982 100.34939  99.91997  99.98500 100.44899 100.38924 100.17984 #>  [17858] 100.30952  99.76472 100.03000  99.99000  99.55401 100.42410 100.00500 #>  [17865]  99.73465  99.95499 100.17984  99.80982 100.68267  99.74467 100.06998 #>  [17872] 100.04999  99.56405  99.55903 100.10494  99.90495  99.56405  99.80982 #>  [17879] 100.36932  99.50377 100.03499 100.17984  99.93498 100.29457  99.66444 #>  [17886] 100.28958  99.74467  99.93998  99.95499 100.00000 100.30454  99.85489 #>  [17893]  99.61928  99.98500  99.93498 100.25468 100.58330 100.39920  99.82485 #>  [17900]  99.85489 100.26465 100.11493 100.07997 100.25468 100.23472 100.00000 #>  [17907]  99.87993  99.88493  99.58414  99.79479 100.02500 100.10994  99.65440 #>  [17914] 100.06498 100.61809 100.04999  99.63433 100.13491 100.10994  99.43339 #>  [17921]  99.97500  99.55903  99.98500 100.13990 100.23971  99.70958  99.86491 #>  [17928] 100.14490 100.17485 100.36932 100.36434  99.56907 100.03000  99.55903 #>  [17935]  99.62429 100.13491  99.82986 100.17485 100.22475  99.81483 100.01500 #>  [17942]  99.89494 100.43904 100.10994  99.81984  99.91496  99.79479 100.18982 #>  [17949]  99.95999 100.26964  99.87492 100.11493  99.76472  99.87993 100.24969 #>  [17956] 100.41912 100.26964  99.49874 100.13491 100.03000 100.10994 100.16986 #>  [17963] 100.56341 100.47885  99.50879 100.02000  99.78477  99.91496 100.23472 #>  [17970] 100.03000  99.80481 100.49378 100.24470  99.60422 100.13990  99.62931 #>  [17977] 100.22475 100.29457  99.18165 100.50871  99.75971  99.97000 100.20978 #>  [17984] 100.18982 100.10494 100.10994 100.31949 100.26465 100.14490 100.16486 #>  [17991] 100.25966  99.73465 100.44899 100.41912  99.69955  99.77475  99.73465 #>  [17998] 100.67274 100.02500  99.82986  99.51382 100.44401  99.73966  99.86992 #>  [18005]  99.96499 100.15488  99.77475  99.92497  99.78978  99.97000  99.81984 #>  [18012] 100.26964  99.67949 100.32946 100.11493  99.62429 100.34939  99.97000 #>  [18019] 100.44401 100.28460  99.52387 100.67770 100.09495  99.63433  99.68450 #>  [18026] 100.61809  99.73966 100.20978  99.63433 100.03999  99.62931 100.14989 #>  [18033]  99.74467  99.98000  99.94999 100.12992  99.88994 100.50373 100.55844 #>  [18040]  99.97000  99.71961 100.27961  99.77976  99.92998 100.20479  99.75971 #>  [18047] 100.34441  99.83987  99.78477 100.40418  99.62429  99.89995  99.48367 #>  [18054] 100.31949  99.48869 100.06998 100.25468  99.69955  99.92998 100.35935 #>  [18061]  99.79980  99.99000  99.50879  99.86992  99.63433 100.22974  99.68450 #>  [18068] 100.07497  99.62429 100.60318 100.07497  99.97500 100.16986  99.70958 #>  [18075] 100.48881  99.79479  99.93998 100.34441  99.54396  99.95999  99.77475 #>  [18082] 100.68267 100.13491  99.89494  99.55401  99.87993 100.55347  99.75971 #>  [18089] 100.45895  99.97000  99.91997 100.29955  99.32774 100.14490  99.57409 #>  [18096] 100.16986 100.14989  99.65942 100.48383  99.50879 100.19980  99.64437 #>  [18103]  99.63433  99.70456  99.97500  99.44848  99.89494  99.99500  99.75971 #>  [18110]  99.91496 100.08496 100.19980 100.04499 100.10994  99.79479  99.86491 #>  [18117] 100.08996 100.00000  99.92998 100.34441  99.83987 100.06998 100.10494 #>  [18124] 100.13491 100.13990 100.00000  99.61426 100.37430  99.80982  99.54396 #>  [18131]  99.80481  99.76472  99.77475  99.75470 100.36434  99.75470 100.32447 #>  [18138]  99.83486  99.65440 100.22475 100.35935  99.64437 100.05498  99.91997 #>  [18145] 100.42908  99.55903  99.85990  99.48869 100.09995 100.35437  99.87993 #>  [18152] 100.27462 100.06998 100.22475  99.90495  99.95499  99.66945  99.92497 #>  [18159] 100.22974  99.79980  99.86491  99.47361 100.42410  99.96499  99.40322 #>  [18166] 100.11993  99.95999 100.51865  99.68450 100.58330 100.44401  99.86992 #>  [18173]  99.72963 100.01500 100.35437  99.81483 100.02000  99.66945 100.08996 #>  [18180]  99.77475  99.71961 100.25468  99.71961 100.19481  99.99000 100.00500 #>  [18187]  99.81984 100.01500 100.45895 100.06498  99.63935 100.66280  99.70958 #>  [18194]  99.84488 100.10994 100.36434  99.73966  99.69955 100.11493  99.90495 #>  [18201] 100.60318 100.09995 100.30454 100.52860 100.01500  99.94498 100.07497 #>  [18208] 100.01500  99.58916  99.69453 100.00000  99.71459 100.29457 100.28460 #>  [18215]  99.84488  99.83486  99.86992  99.48367  99.74467  99.79479 100.07497 #>  [18222] 100.26964  99.99500  99.81483  99.49874 100.02000  99.79479 100.26964 #>  [18229] 100.23971  99.65942 100.30952  99.78978  99.96499  99.75971 100.17485 #>  [18236]  99.90495 100.11993 100.54352  99.66945 100.54850 100.19481  99.70958 #>  [18243] 100.03999  99.64437  99.51382 100.34939 100.04499  99.81984 100.06998 #>  [18250] 100.71743 100.16986 100.06998 100.08496  99.93998 100.05498 100.14989 #>  [18257]  99.68952  99.76472 100.09995  99.89995  99.88994  99.97500  99.89494 #>  [18264]  99.87492 100.28958 100.04999 100.19980  99.72462 100.28958 100.00000 #>  [18271] 100.51865  99.86992  99.93498 100.02000  99.92998 100.23472  99.63433 #>  [18278]  99.99000  99.98500 100.00000  99.37807 100.08996  99.80481 100.03000 #>  [18285]  99.84488  99.52387 100.07997  99.45853  99.64437  99.88493  99.89494 #>  [18292] 100.54352  99.79479 100.27462  99.99000  99.87492  99.64939  99.94498 #>  [18299]  99.86491 100.03999  99.71961  99.77976  99.82485 100.47388 100.10994 #>  [18306] 100.27961 100.31949 100.08996  99.55401 100.25468  99.95999 100.22475 #>  [18313]  99.82485  99.62429 100.16486  99.27235  99.61928  99.94498  99.78978 #>  [18320] 100.05998 100.09995 100.50871 100.29955  99.89995  99.74969  99.72462 #>  [18327] 100.17984  99.73465  99.97500 100.06998 100.22974  99.91997  99.46356 #>  [18334] 100.11993  99.91496 100.57833  99.95999  99.49874  99.80982  99.69453 #>  [18341]  99.54396  99.92998  99.72462  99.73966  99.64437 100.20479  99.65440 #>  [18348]  99.86992 100.24470 100.15488 100.06998 100.09995 100.53855 100.35437 #>  [18355]  99.96499 100.47388 100.23472 100.09495 100.04999 100.02000  99.72462 #>  [18362] 100.34441  99.86992  99.99000 100.43904  99.98000  99.58916  99.95499 #>  [18369]  99.77976 100.16986 100.24470 100.19481 100.25468  99.50377  99.50879 #>  [18376] 100.07997 100.31949 100.21477  99.81483 100.13491 100.14490  99.76973 #>  [18383]  99.97500 100.11493 100.04499 100.11993  99.92998 100.05998  99.94498 #>  [18390]  99.81984  99.71459  99.63935  99.71961 100.28958 100.21976 100.24470 #>  [18397]  99.84488  99.81483  99.75971 100.24969  99.91496  99.42334 100.46890 #>  [18404]  99.73465 100.35437  99.50879  99.90495 100.18483 100.41912 100.04999 #>  [18411] 100.07497 100.17485  99.52889 100.02000 100.22475  99.87993  99.99000 #>  [18418]  99.83987 100.49378  99.91997  99.77976 100.13491  99.81984  99.88493 #>  [18425]  99.61928 100.06498  99.99500  99.67447  99.66444 100.28460  99.81483 #>  [18432] 100.12492  99.86992 100.78690  99.92497  99.83486  99.82986  99.92497 #>  [18439]  99.86491 100.40916  99.77976 100.08996  99.77976 100.46890  99.51884 #>  [18446]  99.77976 100.09995 100.03000 100.19481  99.79980  99.52889  99.72462 #>  [18453]  99.88493  99.54898  99.65942  99.64437 100.49378  99.79479  99.47361 #>  [18460]  99.73966  99.87492 100.14490 100.47885  99.82986  99.87993  99.89995 #>  [18467]  99.72462  99.92497  99.95999  99.88994 100.72239  99.98000 100.11993 #>  [18474]  99.51382  99.74969 100.40916  99.71459  99.80982 100.54850  99.67447 #>  [18481]  99.83486  99.95499  99.73465  99.84488 100.02500 100.30454 100.53358 #>  [18488]  99.47864  99.92497  99.78978 100.23472 100.07997  99.23709  99.97000 #>  [18495]  99.81984  99.68952 100.26465 100.48383  99.98500 100.21976 100.27961 #>  [18502]  99.53391  99.54396 100.03499 100.17485 100.03499  99.88493 100.38426 #>  [18509]  99.80481  99.92998  99.78477  99.79980  99.69955 100.26964  99.65440 #>  [18516]  99.98500 100.32447 100.21477  99.72462  99.51884  99.89494  99.92497 #>  [18523] 100.13491  99.74467 100.33444  99.61928  99.93498  99.67949  99.70958 #>  [18530] 100.08996 100.11493 100.10494 100.36932 100.53358 100.55347 100.36434 #>  [18537] 100.41414 100.37430  99.57409  99.80481 100.13990 100.09495 100.00000 #>  [18544] 100.32946  99.60924 100.52363 100.03999 100.30952 100.03499 100.03000 #>  [18551]  99.75470  99.63935 100.23971 100.14490  99.53894 100.00500  99.58916 #>  [18558]  99.85489  99.99000  99.98500 100.31451  99.81483 100.01000  99.69955 #>  [18565] 100.26964 100.00500  99.58916  99.76973 100.27961 100.46392  99.72462 #>  [18572]  99.94498  99.97000  99.96499 100.37928  99.78978 100.66280  99.73465 #>  [18579]  99.37303 100.26964 100.04999 100.09995 100.55844  99.88994 100.43406 #>  [18586] 100.14490 100.54352  99.65440 100.36434 100.06498  99.64437 100.36932 #>  [18593]  99.28243 100.37928  99.92998 100.29955 100.22475  99.63433  99.94498 #>  [18600]  99.63935  99.75971  99.68952  99.76973  99.82485  99.70456 100.34939 #>  [18607] 100.28460 100.10494  99.83486  99.38310  99.75470  99.91496  99.39819 #>  [18614]  99.78978 100.16486  99.53391  99.50879 100.12492  99.74969 100.02000 #>  [18621] 100.28460  99.91997 100.08496  99.87993  99.57911 100.82658 100.16986 #>  [18628]  99.81984 100.18982  99.59920 100.56838  99.98500 100.11993 100.38426 #>  [18635] 100.01500 100.33942  99.89494 100.05998 100.30952  99.78978  99.82485 #>  [18642]  99.75470  99.78978  99.46356  99.96499 100.50373  99.47864 100.58330 #>  [18649]  99.89494  99.87993 100.30454 100.05498 100.04999 100.26465 100.13491 #>  [18656] 100.24470 100.01000 100.04999 100.07997  99.60422  99.88493  99.60924 #>  [18663] 100.03000  99.94498 100.28958  99.96499 100.07497 100.11493 100.06498 #>  [18670] 100.34441 100.02500 100.54850  99.94498  99.79980  99.86491 100.61312 #>  [18677] 100.32447  99.86992 100.04999  99.82986 100.18483 100.15987  99.86491 #>  [18684] 100.06498  99.59920  99.74969 100.39920  99.70456  99.68450 100.08996 #>  [18691] 100.18982  99.64939 100.22475  99.89995  99.75470 100.08496 100.10994 #>  [18698] 100.30952 100.03499  99.85990 100.12992  99.66444 100.15488  99.73465 #>  [18705] 100.35437 100.06998 100.58330 100.42908 100.25966 100.51368 100.55347 #>  [18712] 100.18982 100.21477 100.28958 100.09995  99.77976 100.41912  99.68450 #>  [18719] 100.43904 100.65784 100.12992  99.54898 100.10994 100.44401 100.01000 #>  [18726]  99.79980 100.19481 100.14989 100.08996  99.95499 100.21477  99.74969 #>  [18733] 100.47885 100.29457 100.34939 100.04499  99.76472 100.01500  99.70958 #>  [18740] 100.12992  99.37807 100.05498  99.79479 100.43904  99.84989  99.91997 #>  [18747]  99.94999 100.37430  99.84989 100.23971 100.04999 100.12992 100.39920 #>  [18754] 100.60815 100.19481 100.02000 100.37430 100.32946 100.45397  99.85990 #>  [18761]  99.75971 100.00500  99.76472 100.04999  99.54898 100.20978  99.66444 #>  [18768] 100.12992 100.03499 100.22974 100.14490  99.92998  99.62429  99.76973 #>  [18775] 100.41912  99.88493  99.78978 100.25966  99.89494  99.74969  99.80982 #>  [18782] 100.30952 100.14989  99.87993  99.82986  99.89995 100.10994  99.80982 #>  [18789] 100.14989 100.14490 100.07497 100.04499 100.03499  99.54396  99.99000 #>  [18796] 100.33444 100.38426 100.03999  99.68450 100.56838 100.04499 100.38924 #>  [18803] 100.32447  99.82986 100.03499 100.25966  99.94498  99.85489  99.63433 #>  [18810] 100.23472 100.15987  99.80481 100.20978 100.04999 100.35437 100.09995 #>  [18817] 100.02000  99.93498  99.80982  99.82986  99.79980  99.70456  99.88994 #>  [18824] 100.23472 100.13491  99.84989 100.19481  99.49372 100.02500 100.01000 #>  [18831]  99.94498  99.86491 100.20479 100.06998 100.19481  99.70456 100.29955 #>  [18838] 100.39422  99.57409 100.16486 100.25966  99.73465  99.98000 100.12992 #>  [18845]  99.54898  99.90996  99.41328  99.65942 100.14490 100.34441  99.74969 #>  [18852]  99.31264 100.01500  99.94999 100.05498  99.97000  99.83486 100.02000 #>  [18859]  99.82485 100.35437 100.37928  99.72462 100.27462  99.94498 100.04999 #>  [18866]  99.74467  99.44848 100.28958  99.69453  99.94999 100.12492  99.84488 #>  [18873] 100.12492  99.92998  99.90495 100.28958  99.66444  99.57911  99.71459 #>  [18880] 100.01500 100.14989 100.35437  99.85990 100.06998 100.01000 100.25468 #>  [18887]  99.80481  99.36297  99.66444 100.38924 100.08996 100.11493  99.85489 #>  [18894]  99.88994 100.23472 100.07497 100.04999  99.49874 100.08996  99.74969 #>  [18901] 100.05498  99.99000 100.17984  99.71459 100.03499  99.93998 100.46890 #>  [18908]  99.90495  99.78477 100.05498  99.69955  99.73465 100.08496  99.87492 #>  [18915] 100.28958  99.67949 100.24969 100.58827  99.93498 100.06998 100.07497 #>  [18922] 100.51368  99.88994 100.16486 100.05998 100.26964 100.37928  99.88493 #>  [18929]  99.99000 100.09995 100.22475  99.72963  99.68952  99.59920 100.32447 #>  [18936]  99.91496  99.49874 100.13990  99.95999  99.66945  99.81984 100.00500 #>  [18943] 100.06998 100.40916 100.04499 100.61312 100.28958 100.57336 100.09495 #>  [18950]  99.98500  99.73966 100.06498 100.17984 100.30454 100.18483 100.58827 #>  [18957]  99.76973 100.23472  99.59920 100.30454  99.84989  99.57409 100.34939 #>  [18964] 100.38426  99.72963 100.51368  99.97500  99.84488 100.41414  99.59920 #>  [18971]  99.87492  99.91997 100.14989 100.39920 100.28958  99.48367  99.55401 #>  [18978] 100.01000  99.52387  99.81483 100.50871 100.28958 100.43904  99.74467 #>  [18985] 100.20978 100.02000  99.92998 100.00000 100.03499 100.20978  99.82485 #>  [18992]  99.79479 100.05998 100.02000  99.84989  99.86491  99.88493  99.48367 #>  [18999] 100.28460 100.03999 100.51865  99.56907 100.44899 100.33444 100.23472 #>  [19006] 100.03000 100.36932 100.27462  99.87492  99.91496 100.11493 100.03499 #>  [19013] 100.06498 100.52363  99.71961  99.89494  99.89995 100.21976 100.11493 #>  [19020]  99.86992 100.39422 100.11993 100.15987 100.45895  99.74467 100.26465 #>  [19027]  99.94498 100.18483  99.75470  99.98000  99.91997 100.06998  99.76973 #>  [19034] 100.06498  99.67949  99.99500 100.72735 100.42410  99.62429 100.44899 #>  [19041]  99.78978 100.12992 100.18982  99.70958  99.83987 100.02000  99.80982 #>  [19048]  99.95499  99.99000 100.35935  99.83486  99.75470  99.69955 100.06998 #>  [19055]  99.64939  99.93498  99.96499  99.34284 100.33942 100.15987 100.20978 #>  [19062] 100.65784  99.80982 100.01000 100.29457 100.32447  99.56907 100.09495 #>  [19069] 100.14490  99.91496  99.88493 100.27961 100.36434 100.47885 100.14989 #>  [19076]  99.65942 100.10994  99.85489  99.85489  99.94999  99.81483  99.79479 #>  [19083] 100.20479 100.42908 100.15488 100.22974 100.17485 100.03999 100.23971 #>  [19090]  99.87492 100.14989 100.06498 100.14490 100.23971  99.74467 100.19980 #>  [19097] 100.32447 100.05498  99.69955 100.04999  99.92998 100.19980  99.97000 #>  [19104]  99.90996 100.67274  99.91997 100.03499  99.24717 100.03000 100.26964 #>  [19111]  99.58916 100.58827  99.54396  99.38310 100.07997 100.03999 100.45895 #>  [19118] 100.14490 100.16986 100.49876 100.16486 100.16486 100.13491 100.33942 #>  [19125]  99.60924 100.01500  99.31767  99.59920  99.73465 100.13990  99.79980 #>  [19132]  99.70456 100.04499 100.05498  99.57409 100.12492 100.07997  99.91496 #>  [19139] 100.28958 100.11493 100.37928  99.80481 100.31949  99.97500  99.57911 #>  [19146] 100.05998 100.03499 100.50373 100.27462 100.07497 100.15987  99.71459 #>  [19153] 100.20978 100.60318  99.97500  99.50377 100.30454  99.84488 100.16486 #>  [19160]  99.49372 100.30952 100.02500 100.45895 100.93067  99.94999  99.64437 #>  [19167]  99.75470 100.08496 100.29457 100.27961  99.82485 100.00000 100.21976 #>  [19174] 100.09495  99.88493 100.18982 100.13990 100.11493  99.55903 100.58330 #>  [19181]  99.56405  99.59418 100.19980 100.27462  99.94498 100.55844 100.22475 #>  [19188] 100.00000 100.27462 100.19980 100.16486  99.94999  99.65942 100.56838 #>  [19195]  99.86992 100.40916 100.10494  99.81984 100.43406  99.96499  99.30760 #>  [19202]  99.96499 100.00000 100.49378 100.38924  99.83486 100.14490 100.21477 #>  [19209]  99.93998  99.99000  99.84488  99.62429 100.44401 100.47885 100.10494 #>  [19216] 100.72239 100.03999  99.80982 100.66280  99.74467  99.91496  99.76973 #>  [19223]  99.84488  99.70958  99.93498  99.82986  99.65942 100.40418 100.09495 #>  [19230] 100.04499  99.76973  99.72963  99.83486  99.91496 100.50373  99.42837 #>  [19237] 100.06498 100.39920 100.28460  99.97000 100.30454  99.83486  99.70456 #>  [19244]  99.74969  99.93998  99.58414  99.85489 100.22974  99.75971  99.98000 #>  [19251]  99.88493 100.37928 100.47388 100.21976  99.99500 100.19481  99.84989 #>  [19258] 100.18982  99.92497  99.63433 100.32946  99.75470 100.74721  99.72963 #>  [19265] 100.19481 100.39422 100.08996 100.37928 100.26465  99.86491  99.80982 #>  [19272]  99.59920  99.78978  99.88493  99.96499  99.65440  99.84488 100.25468 #>  [19279]  99.99500  99.81483 100.31949  99.83486 100.14989  99.99500 100.56341 #>  [19286]  99.89494  99.32271 100.18483 100.01000  99.81483  99.87993 100.23472 #>  [19293]  99.34787 100.17984  99.80481  99.98000  99.82485  99.65942 100.00000 #>  [19300] 100.02500  99.89995 100.29955 100.12492 100.30952 100.26465  99.74467 #>  [19307]  99.71961 100.26465 100.30952  99.90996 100.45895 100.11493  99.89494 #>  [19314] 100.13990  99.68952  99.58916 100.29457  99.83987  99.50879 100.27462 #>  [19321]  99.72462 100.10994 100.05998 100.23472 100.03000  99.78978 100.12492 #>  [19328] 100.20978  99.59418  99.78978 100.42410  99.97000 100.02000 100.32946 #>  [19335]  99.76472  99.92998  99.66444 100.24470 100.40916  99.33277  99.97500 #>  [19342] 100.00000 100.53855  99.95499 100.03499  99.70958  99.78477 100.16486 #>  [19349]  99.34787 100.17984 100.22974 100.20479 100.04499  99.90495 100.12992 #>  [19356] 100.39920 100.00000  99.47361  99.99000 100.09995 100.30454  99.98500 #>  [19363]  99.90495 100.10494  99.94498 100.56838 100.55844  99.95499 100.62306 #>  [19370]  99.77475  99.47864  99.91496  99.75971 100.20978  99.94999 100.21976 #>  [19377] 100.02000 100.13491 100.08996 100.01500  99.73966 100.26964 100.03000 #>  [19384] 100.00500  99.67949 100.20978  99.97500  99.97000 100.06998 100.33444 #>  [19391] 100.28460 100.39422  99.22701  99.75470 100.15488  99.69453 100.17485 #>  [19398]  99.98500 100.14989 100.07497 100.37928 100.17984  99.57409 100.02000 #>  [19405] 100.01500 100.03000 100.10994 100.38924 100.45895  99.57911  99.68952 #>  [19412]  99.95999 100.04999 100.24969 100.62306 100.00000  99.59418  99.99000 #>  [19419] 100.42410  99.46859  99.69955  99.79980 100.00000  99.17661  99.83987 #>  [19426]  99.99500  99.98500  99.85489  99.87993 100.06498 100.20479  99.60924 #>  [19433]  99.89995 100.21477 100.09995  99.77475  99.83987  99.97500  99.94999 #>  [19440] 100.19980  99.94498 100.38924 100.07997  99.98000  99.90996  99.89995 #>  [19447] 100.58827 100.14989  99.55401 100.10994  99.79980  99.94999  99.52387 #>  [19454]  99.43842  99.86992  99.67447  99.79980 100.45895 100.38924  99.77976 #>  [19461] 100.52363  99.85990 100.39422 100.00500 100.00000 100.03499  99.32271 #>  [19468] 100.11493  99.80481 100.02500  99.30257 100.15987  99.90495  99.78477 #>  [19475] 100.45397 100.09495  99.92497 100.22974 100.38924  99.61426 100.61312 #>  [19482] 100.15488  99.49874  99.60422 100.09495 100.25966  99.93998  99.94999 #>  [19489] 100.27961 100.39422  99.79479  99.64437  99.54396  99.75470  99.89494 #>  [19496] 100.15488 100.42410  99.93498  99.94498  99.86491 100.71246  99.70456 #>  [19503]  99.56907  99.77976  99.39316 100.15987 100.00000  99.79980  99.76973 #>  [19510] 100.29955 100.00500  99.38813  99.62429  99.77475 100.37928 100.03499 #>  [19517] 100.33942 100.65784 100.46890  99.73465  99.44848 100.54850 100.11493 #>  [19524] 100.27462 100.28460 100.53855  99.98000 100.07497  99.65942 100.08496 #>  [19531] 100.38426 100.30952  99.88994 100.10994 100.26465 100.40418  99.71459 #>  [19538] 100.62306 100.20978 100.21976 100.12492 100.02000  99.91496 100.20479 #>  [19545]  99.84488 100.21477  99.90495  99.89995  99.70958 100.14490 100.17485 #>  [19552] 100.03999  99.98500  99.81984  99.78477 100.35437  99.66945  99.62429 #>  [19559]  99.70456 100.12992  99.87492  99.84488  99.68450  99.90996  99.67447 #>  [19566] 100.22475  99.99000  99.85990  99.90996 100.35437 100.20978 100.09995 #>  [19573]  99.57911 100.29457  99.57409  99.83987 100.18483  99.86992  99.87492 #>  [19580]  99.87993 100.39920  99.75971  99.66945 100.35935 100.29457 100.09995 #>  [19587] 100.20978 100.35935 100.25966  99.58916 100.16486 100.13990 100.16486 #>  [19594]  99.92998  99.71459 100.66777  99.32774  99.56907 100.13990  99.81984 #>  [19601] 100.15488 100.31949 100.31949  99.73966 100.03499  99.94999  99.92497 #>  [19608] 100.00000  99.86992  99.32271 100.38426 100.08996 100.18483 100.22475 #>  [19615]  99.87993  99.82485  99.90495 100.23971  99.84989  99.78477  99.75971 #>  [19622] 100.30454 100.21477 100.42410 100.03999  99.43339  99.75470  99.98000 #>  [19629]  99.50377  99.52387  99.96499 100.11993  99.93998  99.70456  99.96499 #>  [19636]  99.99000 100.04999  99.88994  99.54898 100.01500 100.33942  99.79980 #>  [19643] 100.16486  99.84989  99.70456 100.03000 100.19980 100.31451 100.07497 #>  [19650] 100.34441 100.16486  99.80481 100.41912  99.99500  99.68450 100.06498 #>  [19657]  99.71459  99.93498  99.55401  99.77475  99.82986  99.70456  99.82986 #>  [19664]  99.99000 100.45895 100.06498  99.51884 100.22974  99.81483 100.08496 #>  [19671] 100.46890 100.09495  99.61426 100.23472  99.81984 100.13990  99.80982 #>  [19678]  99.98500 100.12992  99.61426  99.69453  99.91496 100.30952 100.08996 #>  [19685] 100.09495 100.05498 100.11993  99.59920 100.40916  99.37807  99.94498 #>  [19692] 100.32447  99.60422  99.72963 100.51368 100.28460  99.99000  99.90495 #>  [19699] 100.23472 100.29457  99.77976 100.03499  99.85489  99.76472  99.85489 #>  [19706] 100.03499 100.12492  99.89995 100.24969  99.74467  99.87492 100.18483 #>  [19713]  99.94498  99.61928  99.67447  99.43842 100.61312 100.38426  99.71459 #>  [19720] 100.41912 100.13491  99.44848  99.72462  99.93998 100.39920 100.12492 #>  [19727] 100.08996 100.31949 100.01000 100.26964 100.13491  99.83987 100.12992 #>  [19734] 100.16986  99.92998  99.78477 100.25966  99.70456  99.80481  99.55401 #>  [19741] 100.38924 100.10994  99.73465  99.58414 100.27961 100.42410  99.68952 #>  [19748] 100.22475  99.71459 100.20978 100.14989  99.63935 100.08996  99.55401 #>  [19755] 100.27462 100.47885  99.69453 100.90590  99.57911 100.21477 100.35935 #>  [19762] 100.37430 100.44899 100.00000 100.01000  99.97500 100.23472 100.41414 #>  [19769]  99.75971 100.18982  99.66945 100.16486  99.47361  99.89494 100.13491 #>  [19776]  99.75470  99.58414  99.77475 100.06998 100.05998 100.18982  99.95499 #>  [19783] 100.06498  99.86491  99.53391 100.45895  99.85489  99.79479 100.09995 #>  [19790] 100.26964 100.12492 100.22475  99.33781 100.04999 100.33444  99.89995 #>  [19797] 100.20978  99.81984 100.07497 100.21976 100.04999  99.69955  99.52889 #>  [19804] 100.04499 100.13491 100.92076  99.95499  99.99000  99.97500 100.00500 #>  [19811] 100.44899  99.99500  99.77475 100.15987  99.71961 100.62803 100.25966 #>  [19818]  99.60924  99.90996  99.92998  99.50879  99.92998  99.78477 100.11993 #>  [19825] 100.10994 100.09495  99.57911 100.34441 100.20479 100.61809  99.70456 #>  [19832] 100.12992 100.54352  99.97000  99.88994  99.92998 100.32447 100.25966 #>  [19839] 100.17984  99.95999 100.40916  99.82986  99.82485  99.82485 100.29955 #>  [19846]  99.84488 100.36434  99.79479 100.24470  99.98000  99.90996  99.80481 #>  [19853]  99.81984  99.66444  99.35291 100.14490  99.57911  99.55401 100.02500 #>  [19860]  99.90996  99.51382  99.63935  99.82986  99.27235  99.83987  99.55401 #>  [19867]  99.91496  99.70958 100.51865 100.54850 100.38924  99.68952 100.02500 #>  [19874]  99.92998  99.48869 100.14490  99.64437  99.82485  99.63433  99.48367 #>  [19881]  99.90996 100.12992  99.69955 100.10494  99.79479  99.73966  99.27235 #>  [19888] 100.03499  99.60924 100.06998 100.16486  99.72963  99.84989  99.90495 #>  [19895]  99.64437  99.85990  99.97500 100.16486 100.03999 100.22974 100.25966 #>  [19902] 100.02500 100.01500  99.55401  99.73966 100.21477  99.68450 100.14989 #>  [19909] 100.27961 100.25966 100.34441 100.28958  99.70456 100.21477 100.11993 #>  [19916]  99.88994 100.04499 100.37430  99.88493 100.19980 100.08496 100.09495 #>  [19923]  99.51884 100.00500 100.01500  99.34284  99.70958  99.72963  99.84488 #>  [19930] 100.42410  99.87993 100.31949 100.26465 100.17485  99.74969 100.00000 #>  [19937]  99.80481 100.19980 100.34939  99.66945  99.95499  99.69453 100.02500 #>  [19944] 100.41414  99.84488  99.89494  99.93998 100.26964  99.47361 100.32946 #>  [19951]  99.46356 100.21477 100.36932  99.95999  99.84989 100.06498 100.10994 #>  [19958] 100.11993  99.57911  99.60924  99.50377 100.04999  99.91997 100.02500 #>  [19965] 100.31451  99.52387 100.10994  99.98500 100.17485  99.92998 100.05498 #>  [19972]  99.91997  99.71961 100.19481 100.19481  99.84989  99.83987  99.44345 #>  [19979]  99.62931 100.44899 100.09995 100.17984  99.72462  99.54898 100.01500 #>  [19986]  99.78477 100.06998 100.56341  99.72462 100.21976 100.02000 100.03999 #>  [19993] 100.14490  99.86491  99.81984  99.85990 100.07997  99.80982  99.86992 #>  [20000] 100.50373 100.30952  99.86491 100.35437  99.91997 100.15488  99.55401 #>  [20007]  99.30760  99.75470  99.99500 100.24470  99.88493 100.30454  99.84989 #>  [20014] 100.48881 100.16486  99.91496  99.99000  99.71961  99.85489  99.94999 #>  [20021]  99.66945  99.92998  99.39316  99.91997  99.83987 100.37928 100.02500 #>  [20028]  99.64939 100.50373  99.92497 100.33444 100.03000 100.02000  99.71459 #>  [20035] 100.28460  99.82485  99.80481 100.05498  99.86491 100.12992 100.04499 #>  [20042]  99.86491 100.15987  99.80481  99.74467  99.57911  99.85990  99.83486 #>  [20049]  99.98500 100.09495 100.39920 100.26465 100.35437  99.46859 100.05998 #>  [20056] 100.40916 100.33444  99.45853  99.86992  99.86491  99.74467  99.98000 #>  [20063]  99.89995  99.92998  99.93998  99.94498 100.26465 100.35935 100.43904 #>  [20070] 100.57336 100.38426 100.24969  99.64437 100.00500  99.62931  99.86992 #>  [20077] 100.15488  99.95499 100.25468  99.79479 100.08496 100.40916 100.02000 #>  [20084]  99.95499  99.99500  99.75470 100.02000  99.95499  99.91997 100.18483 #>  [20091]  99.46356 100.06498 100.05498 100.17485 100.10994 100.16986  99.27235 #>  [20098] 100.03999  99.83486  99.47864 100.28958  99.95499 100.21976 100.25468 #>  [20105]  99.97500  99.59418  99.86491 100.12992 100.37928 100.18982  99.80982 #>  [20112]  99.59920  99.57911 100.25468  99.86491 100.22974 100.06498 100.10994 #>  [20119] 100.23472 100.03000  99.42334  99.58916 100.10494  99.77475 100.24969 #>  [20126]  99.74969 100.12492 100.27961 100.14490 100.02000 100.30952  99.81984 #>  [20133]  99.71961  99.54898  99.60422 100.15488 100.54352 100.04499 100.53358 #>  [20140] 100.54352  99.98500 100.00500  99.95999  99.55903 100.25468  99.94498 #>  [20147]  99.78477 100.31451 100.30454  99.92998  99.87492  99.53894 100.15987 #>  [20154]  99.32271  99.61426 100.08996  99.72462  99.44345  99.83987  99.75470 #>  [20161] 100.48383 100.37928  99.84989  99.64939 100.14989  99.61928 100.20978 #>  [20168] 100.40916 100.47885  99.67949 100.12492  99.94498 100.06498 100.41912 #>  [20175]  99.54396  99.58414  99.99000  99.80481  99.94498 100.18982 100.03999 #>  [20182]  99.76973  99.73966 100.15488  99.68450  99.84989  99.95999 100.34939 #>  [20189] 100.22475  99.97500  99.89494 100.05498  99.47361 100.46392  99.65942 #>  [20196] 100.16986 100.13491  99.78978 100.13990 100.02500 100.63797  99.46356 #>  [20203] 100.11493 100.44401  99.86992  99.72462  99.65942  99.99500 100.04999 #>  [20210]  99.40322  99.97500  99.90996  99.89494  99.84989 100.36434 100.37430 #>  [20217] 100.33942  99.40322  99.96499  99.45351  99.79980 100.29955 100.05998 #>  [20224]  99.80982  99.44345 100.02500 100.12492 100.03499  99.94498  99.81483 #>  [20231] 100.06498  99.91496  99.92998 100.19980 100.03999  99.82485  99.96499 #>  [20238] 100.23971  99.38813 100.63797 100.07997 100.21976 100.45397 100.23472 #>  [20245]  99.90495  99.85990  99.29250 100.09995 100.14490  99.96499  99.63935 #>  [20252]  99.89995 100.05998  99.81984  99.55401  99.72963 100.23971 100.10494 #>  [20259]  99.59920  99.86491  99.54898  99.80481  99.97500  99.48869 100.49378 #>  [20266]  99.89494  99.71961  99.90495 100.07497 100.13491  99.70456  99.60924 #>  [20273] 100.14989 100.23472 100.07497 100.38426 100.05998  99.58916 100.13990 #>  [20280]  99.64437  99.76973  99.69453 100.02500 100.05998  99.93998 100.59821 #>  [20287]  99.92497  99.81483 100.08496 100.21477  99.56405  99.35291 100.14989 #>  [20294]  99.88493 100.24969  99.87993  99.85489 100.30454 100.04999  99.53894 #>  [20301]  99.62429  99.72963  99.93998  99.80982 100.07997  99.55401  99.97000 #>  [20308] 100.18982 100.03000 100.36932  99.87492  99.41831 100.31949  99.91496 #>  [20315]  99.94999 100.51865  99.70958  99.91997 100.15987 100.09495 100.12492 #>  [20322]  99.56907  99.94498 100.19481 100.12992 100.27462 100.18982  99.60924 #>  [20329] 100.40418 100.40916 100.28460  99.74969  99.64437  99.82485  99.97000 #>  [20336] 100.27462  99.93498  99.70958  99.75470  99.96499  99.94498 100.52363 #>  [20343]  99.93998  99.90495 100.09495  99.98500  99.73966 100.35935  99.65942 #>  [20350]  99.71961  99.53391  99.91997  99.97000  99.94999 100.12992 100.26465 #>  [20357] 100.47388 100.32946  99.98500  99.56405 100.25966 100.26964  99.56907 #>  [20364] 100.07997 100.26964  99.78477  99.87993 100.39920  99.92497 100.50871 #>  [20371] 100.07997  99.85489  99.92998  99.40322 100.01000 100.34441 100.47388 #>  [20378] 100.31949 100.37928  99.92998 100.20479  99.48869  99.47361 100.11493 #>  [20385]  99.89995  99.67447 100.28958 100.21976  99.89995  99.76973 100.48383 #>  [20392] 100.03499  99.57409 100.13491  99.91496 100.24470 100.72239  99.80982 #>  [20399]  99.96499 100.67770 100.33942 100.00000 100.09495  99.68450 100.21477 #>  [20406] 100.31451  99.43842 100.07997 100.15987  99.74969 100.13990  99.87492 #>  [20413] 100.15488  99.97000 100.27961  99.98500 100.49378 100.43406 100.04999 #>  [20420] 100.40418  99.89494 100.02000 100.61312 100.30952  99.90495 100.29457 #>  [20427] 100.43904  99.82485  99.60422 100.32946 100.51368 100.19481 100.13990 #>  [20434]  99.94999 100.04499 100.61312  99.84488  99.84989  99.82485  99.78477 #>  [20441] 100.36434 100.40418  99.81984 100.03999 100.26465 100.37928  99.93998 #>  [20448]  99.82485 100.27961 100.07497  99.44345 100.02500  99.72963  99.95499 #>  [20455] 100.06998 100.40916 100.06498 100.62306  99.92497 100.20978 100.59324 #>  [20462] 100.58330  99.68450 100.28958  99.97000 100.60318 100.16486 100.05498 #>  [20469] 100.41414  99.99500  99.38813 100.03999 100.25468  99.90996 100.34939 #>  [20476] 100.05498 100.24969  99.78477  99.41328 100.12992  99.68450 100.48881 #>  [20483]  99.83486  99.76472 100.23971  99.65440 100.29955  99.52387 100.12992 #>  [20490] 100.10994  99.92497 100.14989  99.94999  99.48869  99.89494  99.85489 #>  [20497] 100.25468  99.85489 100.49876 100.22974 100.08496  99.72462 100.29457 #>  [20504] 100.65784 100.10994 100.28460 100.12992  99.92497  99.93498 100.04499 #>  [20511] 100.33444  99.61928 100.36434  99.90996 100.02000  99.71961  99.86992 #>  [20518]  99.94498 100.63797  99.45351  99.67447  99.57409 100.36932  99.94999 #>  [20525] 100.04499 100.67770  99.84488  99.97000 100.20479 100.20978 100.39422 #>  [20532]  99.84989  99.78978 100.13491  99.78477  99.90495 100.37430 100.04999 #>  [20539]  99.99000  99.95999  99.97000 100.18982 100.10994  99.82485  99.69955 #>  [20546]  99.84488 100.17485  99.65942 100.03999 100.40418  99.79479  99.32774 #>  [20553] 100.08496  99.61426  99.99000  99.90996  99.94999 100.61312  99.92497 #>  [20560] 100.73232  99.86491 100.16986  99.94498  99.63433 100.37430  99.84488 #>  [20567] 100.13491  99.51884  99.95499  99.77475  99.83486  99.73465  99.60422 #>  [20574]  99.41831  99.94999 100.14989  99.74969  99.55401  99.93998  99.67447 #>  [20581]  99.62931  99.91997  99.84989 100.03499  99.80481 100.08996  99.83486 #>  [20588] 100.50871 100.15488 100.03999 100.02500  99.88493  99.18165  99.92998 #>  [20595]  99.67447  99.46356 100.08996 100.28460  99.97500  99.81984  99.84488 #>  [20602]  99.64437 100.29955 100.41414  99.89995 100.20978  99.98500  99.72462 #>  [20609] 100.06998  99.58414  99.91997  99.20685  99.87993 100.12492  99.59418 #>  [20616]  99.83486  99.86491  99.93998 100.37430 100.14490  99.65942 100.57833 #>  [20623] 100.16486 100.12992  99.80982  99.78978  99.85489  99.74467 100.39422 #>  [20630] 100.26964 100.19980 100.02500  99.93498 100.17984  99.64939 100.22475 #>  [20637]  99.78477 100.22475 100.35935 100.03499  99.33781 100.03000  99.95499 #>  [20644] 100.12992 100.50373 100.24470 100.34441  99.59418 100.38426 100.02000 #>  [20651]  99.51884 100.14989  99.90495 100.55347  99.69955 100.17485 100.30454 #>  [20658] 100.62803  99.83987  99.86491  99.93998  99.68450 100.07497  99.92998 #>  [20665] 100.03499 100.20479  99.82485 100.65287 100.19481 100.01500  99.98000 #>  [20672] 100.37430 100.35935  99.51884 100.44401 100.72735 100.24470  99.32774 #>  [20679] 100.31451 100.32946  99.95999 100.13990 100.17485  99.50879 100.17485 #>  [20686] 100.21976  99.84989  99.80481  99.39819 100.29955 100.04499  99.84989 #>  [20693]  99.73966 100.03499  99.91997 100.08496 100.33942 100.25468  99.97500 #>  [20700]  99.79479 100.15488  99.99000 100.07997  99.35794  99.95499  99.58414 #>  [20707] 100.15987  99.85990 100.10494 100.18982 100.20978  99.86992 100.22475 #>  [20714] 100.25966 100.01500  99.99500  99.73465 100.15488  99.54898  99.77976 #>  [20721]  99.80982 100.45895 100.16486 100.19481  99.60924 100.34939  99.98500 #>  [20728] 100.03999  99.76472 100.63797 100.06498 100.11493 100.10994 100.02000 #>  [20735]  99.81483 100.45895  99.86491  99.95499 100.41414  99.61426 100.03000 #>  [20742] 100.03000  99.64437 100.09495 100.10994  99.94999  99.93998  99.58916 #>  [20749] 100.07997 100.07497 100.27961 100.22974  99.53391 100.27961  99.68952 #>  [20756]  99.55903 100.09495  99.95999  99.65942  99.75470 100.05998 100.11993 #>  [20763]  99.86491 100.59324  99.95499  99.99000 100.04499 100.03499 100.36434 #>  [20770]  99.82986  99.93998  99.70456 100.47885 100.49378  99.72963 100.04499 #>  [20777] 100.07497 100.39422  99.47864  99.66945  99.58916 100.18982 100.13491 #>  [20784] 100.02500 100.46890 100.30454  99.57409 100.04999  99.86491 100.52363 #>  [20791] 100.50871 100.45397  99.89494  99.83987 100.22475 100.48383 100.67770 #>  [20798] 100.65287  99.91997  99.85990  99.55903  99.91997  99.86992  99.84989 #>  [20805] 100.18483 100.09995 100.24470  99.56405  99.93498  99.86491  99.44848 #>  [20812] 100.16486 100.34939 100.30952 100.49876  99.99500  99.88493  99.79980 #>  [20819]  99.69955  99.81483 100.07497  99.89995 100.23472  99.92998  99.51382 #>  [20826] 100.16986 100.08996 100.11493 100.19481 100.04999 100.00000 100.17984 #>  [20833]  99.95499 100.46392 100.37430  99.90495  99.72963  99.72462 100.04999 #>  [20840]  99.83486  99.98000 100.20978 100.00000  99.89494  99.93998  99.68952 #>  [20847] 100.16486  99.81984  99.69453 100.03999  99.67949 100.07997 100.18483 #>  [20854] 100.49378 100.30454  99.72462  99.73465 100.37430  99.63935  99.96499 #>  [20861]  99.58916 100.19980 100.05998 100.53855  99.72963 100.32946 100.43406 #>  [20868]  99.56405  99.62429 100.12492 100.54850  99.64437 100.32447  99.97000 #>  [20875]  99.70456  99.35291 100.19980  99.58916  99.83486  99.72462  99.98500 #>  [20882] 100.54850  99.98500  99.59920  99.69453  99.30760 100.07997 100.27462 #>  [20889]  99.85489 100.24969 100.16486  99.95499  99.84488 100.49378 100.05998 #>  [20896] 100.29955  99.53894  99.99500  99.70456 100.35935 100.31451 100.39920 #>  [20903]  99.84488 100.00000 100.18982 100.24969 100.09495  99.93998 100.42410 #>  [20910] 100.53855  99.67949  99.66945  99.31767  99.98500  99.81984  99.88493 #>  [20917]  99.50377  99.51382 100.52363 100.36434 100.35935  99.82986  99.97500 #>  [20924]  99.91997 100.24969 100.13990 100.08996  99.90996  99.62429  99.86491 #>  [20931] 100.36932 100.12992  99.95999  99.97500  99.88493 100.05998  99.95499 #>  [20938]  99.73966  99.73465  99.85990  99.72963  99.92497  99.62931  99.74969 #>  [20945] 100.57336 100.36434 100.03499  99.56907 100.51865  99.53894  99.96499 #>  [20952] 100.42410  99.69453  99.71961  99.97000 100.31451 100.26465 100.02500 #>  [20959] 100.05998 100.49378 100.20978  99.75470 100.04999 100.19481 100.03999 #>  [20966]  99.71961  99.78978  99.91496 100.53855  99.97500  99.72963  99.84488 #>  [20973] 100.28460 100.06498 100.37430 100.14989  99.61928 100.68267  99.84488 #>  [20980]  99.84989  99.71459  99.97000 100.58330  99.78978  99.77475  99.87993 #>  [20987] 100.28460 100.25966  99.70456  99.71459 100.02000  99.80982 100.20479 #>  [20994] 100.44899 100.07997 100.28958  99.78477 100.06998 100.16986  99.68450 #>  [21001]  99.88493  99.97000  99.98500  99.51884  99.89995 100.31451  99.40322 #>  [21008]  99.94999 100.04499  99.39819 100.47388  99.87993  99.35291  99.85489 #>  [21015]  99.70456  99.54396  99.92497 100.15488  99.96499 100.60815  99.77475 #>  [21022] 100.65784  99.68952  99.91997  99.97500 100.38924  99.83987  99.92998 #>  [21029]  99.51382 100.16486 100.13990 100.14490 100.27462  99.82485 100.07497 #>  [21036] 100.19481 100.43406 100.59821  99.92998 100.38426 100.55347  99.22197 #>  [21043]  99.82986  99.71459 100.64293 100.05998  99.46859 100.14989  99.90495 #>  [21050]  99.79479 100.41414 100.06498 100.08496  99.86992  99.80481 100.03999 #>  [21057] 100.15488 100.08496 100.09495  99.86491 100.02500 100.11493  99.83987 #>  [21064]  99.70456 100.28460 100.06498 100.73728 100.25966  99.62931 100.27961 #>  [21071]  99.93998 100.02500 100.16986  99.86992 100.03499 100.49378  99.58414 #>  [21078] 100.13990 100.26465  99.92998 100.18982 100.46392 100.13491  99.78477 #>  [21085] 100.46392 100.04499  99.39316  99.66444  99.70456 100.20978  99.86491 #>  [21092]  99.98000 100.24969  99.70958  99.66444 100.11993 100.21477  99.90996 #>  [21099]  99.76973 100.23971 100.21976  99.70958  99.63935 100.14989  99.95999 #>  [21106]  99.68450 100.42410  99.59418  99.51382  99.68952  99.90996  99.79980 #>  [21113]  99.89995  99.55903 100.36932 100.02500 100.10494 100.19481  99.87492 #>  [21120]  99.89995 100.37430 100.09495 100.05498  99.63935 100.31451 100.15488 #>  [21127]  99.61928 100.08996  99.70456 100.34441  99.99000  99.90495 100.25468 #>  [21134] 100.09495 100.68267  99.79479  99.75470 100.17984  99.75971 100.25966 #>  [21141] 100.10994 100.11493  99.65942  99.80481 100.10994 100.24969  99.86491 #>  [21148] 100.31451 100.07497 100.01500  99.88994  99.87993 100.14490 100.14490 #>  [21155]  99.70958  99.88493 100.44401  99.57409 100.39422  99.95499 100.03499 #>  [21162] 100.03999 100.10494 100.41912  99.46859 100.13990 100.30454  99.30760 #>  [21169] 100.00500  99.88994 100.41912 100.50871  99.99500  99.96499  99.64437 #>  [21176] 100.48881  99.66945  99.52387  99.99000 100.22974  99.67949 100.26964 #>  [21183]  99.65942 100.07997 100.46890 100.47388  99.67447 100.30952  99.56907 #>  [21190] 100.08996  99.97000  99.54898 100.40916 100.19980  99.68450 100.13491 #>  [21197] 100.07497  99.47361 100.31451  99.87993  99.98500  99.61928  99.86491 #>  [21204]  99.82986 100.03999 100.21976  99.72462 100.07497  99.96499  99.45853 #>  [21211]  99.59920 100.53855  99.81984 100.18982 100.66777  99.56907 100.37430 #>  [21218] 100.20978  99.95499  99.69955  99.92497  99.84989  99.71961 100.14490 #>  [21225] 100.30454  99.71961  99.75470 100.18483 100.11993 100.20479  99.89995 #>  [21232]  99.49874  99.87492 100.07997 100.16486 100.28460 100.39920 100.09495 #>  [21239] 100.26465 100.03000  99.50377  99.76973 100.36434  99.79980  99.65942 #>  [21246] 100.25966  99.70456  99.85489 100.03499 100.13491 100.05998  99.72462 #>  [21253] 100.13990  99.50879 100.26964 100.45895 100.08496  99.90495  99.84488 #>  [21260] 100.26964  99.97500 100.12992 100.06998  99.71459 100.27961  99.68450 #>  [21267]  99.69955  99.85489 100.22475  99.62931 100.12492 100.10494  99.83486 #>  [21274] 100.09995 100.36434 100.48881  99.80982  99.75470  99.65942 100.06498 #>  [21281]  99.97000 100.11993 100.04999 100.27961 100.57336 100.50373  99.73465 #>  [21288]  99.93998  99.86491 100.31949  99.46356  99.82485 100.22974 100.23971 #>  [21295]  99.70958 100.44401 100.19481 100.36932 100.01000  99.92998  99.49874 #>  [21302] 100.13990 100.25966 100.09495  99.86491 100.26465  99.83486 100.36434 #>  [21309] 100.08496  99.58916  99.63433 100.04499 100.08996  99.46356 100.37430 #>  [21316] 100.00500 100.03000 100.14989  99.70456  99.69453 100.47388 100.09495 #>  [21323]  99.98500 100.26465 100.31451  99.58916  99.87492  99.75470  99.94498 #>  [21330]  99.73966  99.67447 100.58827 100.40418 100.09495  99.91496  99.97500 #>  [21337] 100.05998 100.29457  99.29250  99.97500  99.75470  99.99000 100.00500 #>  [21344] 100.32946  99.54396 100.10994  99.73966 100.19980 100.53855 100.20978 #>  [21351]  99.94999 100.24470 100.51865 100.11993 100.05498 100.12492 100.25966 #>  [21358]  99.83486  99.86491  99.76973 100.23472 100.03000  99.71459  99.69453 #>  [21365]  99.94999 100.18483  99.98000 100.36932 100.56838 100.16986 100.23472 #>  [21372] 100.31451 100.08496 100.13491 100.27961  99.98500  99.77976 100.35935 #>  [21379]  99.89494  99.73966  99.98000 100.35935 100.24470 100.23472 100.09995 #>  [21386] 100.58330  99.55903  99.37303  99.20181 100.19481  99.49874 100.14490 #>  [21393] 100.38426 100.37430  99.84989 100.08496 100.41912  99.97000 100.31451 #>  [21400]  99.85489 100.24969 100.00500 100.20978 100.29955  99.87492 100.06998 #>  [21407]  99.93998  99.87492  99.94498 100.10994  99.89494  99.91997  99.78477 #>  [21414]  99.95499 100.44899  99.77475 100.19481 100.23472 100.41414 100.05498 #>  [21421] 100.40418  99.76472  99.96499 100.21976  99.93498 100.10994  99.82485 #>  [21428] 100.27462 100.01500 100.20479 100.29955  99.87492 100.00500  99.98500 #>  [21435]  99.75971  99.88994  99.79479 100.21976 100.25966 100.57336  99.84488 #>  [21442] 100.43904  99.92497 100.01000  99.70456 100.71246  99.78978  99.89995 #>  [21449] 100.13990  99.85489 100.30952 100.01000  99.90996 100.12492  99.72963 #>  [21456] 100.16486 100.40418  99.64437 100.10994  99.53894 100.17984  99.66945 #>  [21463]  99.85990  99.59418 100.41414 100.29457 100.30454  99.84989  99.77976 #>  [21470] 100.39422  99.83987  99.41831 100.14490 100.34441 100.15987  99.85990 #>  [21477] 100.20978  99.95999  99.76973 100.67770 100.31451 100.25966 100.20479 #>  [21484]  99.43339  99.87492 100.03000  99.63433  99.82986  99.98500  99.87492 #>  [21491] 100.03999  99.84488  99.87492 100.35935 100.16986  99.65440  99.55401 #>  [21498] 100.03999  99.67949 100.27961 100.12492 100.46890 100.06498 100.09495 #>  [21505] 100.27462  99.74467  99.85489  99.91496 100.26964 100.03999 100.57336 #>  [21512] 100.00500  99.93498  99.32271  99.76472  99.83486  99.99500 100.15987 #>  [21519] 100.02500  99.42837  99.51884  99.83486 100.18982 100.03999  99.72963 #>  [21526] 100.65287 100.00500  99.85990  99.99500 100.30454 100.59821  99.40322 #>  [21533] 100.32946  99.92998  99.91496  99.75470  99.82986  99.77976 100.37430 #>  [21540] 100.04499  99.61928 100.20479 100.35437  99.62931 100.27462  99.41328 #>  [21547]  99.78477 100.36434 100.61809 100.27961  99.81984 100.26465 100.07497 #>  [21554]  99.98000 100.11993 100.05498 100.31949  99.75470  99.95499  99.68450 #>  [21561]  99.72462  99.79980 100.10494  99.97500  99.71961  99.76472  99.84488 #>  [21568]  99.66945 100.17485  99.47361 100.03000 100.28958  99.44848  99.30257 #>  [21575] 100.48383 100.20978  99.66444 100.54850 100.34939  99.42837  99.80481 #>  [21582] 100.12492 100.18483  99.90495 100.11493 100.20978  99.67949  99.85489 #>  [21589] 100.07497  99.66945  99.78978 100.46392  99.82986 100.05998 100.15488 #>  [21596]  99.67447 100.40418  99.79980 100.50871 100.05498 100.41912 100.68764 #>  [21603] 100.02500 100.10994  99.81483  99.54898  99.75470  99.44345 100.24470 #>  [21610]  99.97000  99.91997  99.63433 100.32946 100.45895 100.28958 100.44899 #>  [21617] 100.05998 100.50871 100.10494  99.62429  99.64437  99.60422  99.62429 #>  [21624] 100.16986 100.10494  99.52387  99.70456 100.10494 100.20978 100.10994 #>  [21631]  99.62429 100.57336 100.16986  99.78477  99.66444  99.83486 100.02500 #>  [21638] 100.21976 100.08496 100.03499  99.48367  99.32271  99.80481  99.79479 #>  [21645] 100.05998  99.59920 100.38924 100.19481 100.32447  99.89494 100.12992 #>  [21652]  99.86992  99.82986 100.28958  99.33277  99.95999  99.91496  99.99500 #>  [21659] 100.36434  99.86992  99.93498 100.22475  99.87492  99.80982  99.95499 #>  [21666] 100.11993  99.94498  99.79479  99.81984  99.81483  99.45351 100.62803 #>  [21673] 100.02000  99.64939  99.78978 100.11493 100.50373 100.16486 100.14989 #>  [21680]  99.89494 100.00000 100.23971 100.33444 100.03999  99.45853  99.31767 #>  [21687]  99.47361 100.09995  99.66945  99.86992 100.58330 100.22475  99.64939 #>  [21694]  99.97000 100.24969  99.89494 100.04499  99.30257 100.32447  99.56405 #>  [21701]  99.82485 100.23971  99.78477  99.95499 100.03499  99.94498  99.88994 #>  [21708] 100.00500  99.84989 100.51865 100.03000 100.38924  99.70958 100.18982 #>  [21715] 100.13491  99.65942  99.72963  99.89995 100.27462  99.58414  99.68952 #>  [21722] 100.13990  99.74467  99.97000 100.21976  99.54396  99.60422  99.99500 #>  [21729] 100.15987  99.60924 100.36434 100.45895  99.64939  99.95499  99.78978 #>  [21736]  99.77976 100.16986  99.45351  99.89494  99.83486  99.93998  99.71961 #>  [21743]  99.52387  99.96499  99.84989 100.14490  99.92998  99.81483 100.09995 #>  [21750] 100.10494  99.79980 100.02500  99.75470 100.19481  99.78978  99.85489 #>  [21757] 100.18982 100.03999  99.91997 100.16986 100.05998 100.26964  99.79479 #>  [21764] 100.05998 100.07997  99.91496  99.89494 100.27462 100.06498  99.94498 #>  [21771]  99.91997 100.26964  99.83486  99.88994  99.99000  99.84989 100.08996 #>  [21778]  99.86491  99.70456  99.77976 100.50871 100.09495 100.11993  99.78477 #>  [21785] 100.49876 100.11493 100.11993  99.96499  99.24213 100.19980  99.96499 #>  [21792] 100.29457 100.62803 100.42410  99.27235  99.83486  99.86992  99.91997 #>  [21799] 100.46890  99.99000  99.82986 100.30454 100.23971 100.17984  99.90996 #>  [21806]  99.88994  99.93998  99.92998 100.43904  99.34284  99.95499  99.97500 #>  [21813] 100.21976  99.80982 100.11993 100.35437 100.07497  99.82485 100.03499 #>  [21820] 100.25468 100.42410 100.14490 100.16486 100.06498  99.46356 100.14989 #>  [21827] 100.20479 100.10994  99.85489 100.29457  99.92998 100.15987 100.18483 #>  [21834] 100.24969  99.89995 100.36434 100.05498  99.69955 100.24470  99.55401 #>  [21841]  99.69453 100.40916 100.12992 100.03000  99.79980  99.68450 100.31451 #>  [21848] 100.27462  99.76973 100.36932 100.06998 100.42410 100.00500  99.91997 #>  [21855] 100.17485 100.00000 100.25966  99.78978  99.82485 100.26964  99.37303 #>  [21862]  99.78978  99.64437 100.41912 100.05998  99.86491 100.13491  99.51884 #>  [21869] 100.33444 100.19980  99.48367 100.20479 100.74721  99.94999  99.90996 #>  [21876] 100.08496  99.79980 100.42908  99.45853  99.94498  99.88493 100.12992 #>  [21883] 100.32946  99.78477 100.18483 100.22974 100.11993  99.85489  99.54396 #>  [21890]  99.50377  99.54396 100.44401 100.03000  99.76472  99.48869  99.84488 #>  [21897] 100.06498 100.15488  99.82986  99.92497  99.77976  99.47361  99.93498 #>  [21904] 100.16486 100.04999 100.05998 100.51865  99.97000 100.02500 100.24470 #>  [21911] 100.34441 100.24969 100.21477 100.13491 100.29955 100.30952  99.68450 #>  [21918] 100.24969  99.97000 100.00500 100.54352  99.88493 100.37928 100.19481 #>  [21925]  99.92497 100.39920  99.61426  99.86992 100.21976  99.48869  99.51382 #>  [21932]  99.85990  99.46356 100.10994 100.22475 100.08496  99.50377  99.71961 #>  [21939] 100.38924 100.05498  99.42837  99.85990  99.76472  99.60422 100.44401 #>  [21946] 100.50871 100.03000  99.49874 100.18982 100.47388  99.80481  99.78477 #>  [21953]  99.84488 100.16486 100.39422 100.20978  99.89995 100.30952 100.42410 #>  [21960]  99.96499  99.87492 100.16986  99.64939 100.57336 100.19980  99.82986 #>  [21967] 100.46392 100.49378  99.36297 100.28460  99.95499 100.53855 100.35437 #>  [21974]  99.83486  99.96499  99.97500 100.06998 100.10494  99.76472 100.50871 #>  [21981] 100.73728 100.24470  99.86491 100.44401  99.53391  99.55401 100.38426 #>  [21988]  99.73465 100.13990  99.91496  99.85489 100.17485  99.88493 100.25468 #>  [21995]  99.50879 100.31451  99.70456  99.73465  99.92497  99.52387 100.21976 #>  [22002] 100.34939 100.09995 100.12492 100.17485 100.42908 100.47388 100.01500 #>  [22009]  99.96499 100.48881  99.93998  99.71961 100.28958 100.02000  99.59920 #>  [22016]  99.92998 100.06498  99.74467 100.34939  99.84989 100.09995  99.63433 #>  [22023] 100.34939 100.22475 100.41414 100.49876  99.81984 100.06998  99.65440 #>  [22030] 100.52363 100.67274  99.91997 100.02000 100.05998 100.33444 100.51368 #>  [22037]  99.75470  99.90996 100.44899 100.00000  99.44345  99.72963 100.35437 #>  [22044] 100.12992  99.99500  99.93998 100.41912 100.35437 100.16486 100.00500 #>  [22051] 100.79186  99.91496  99.82485 100.07497  99.57911 100.14490  99.94999 #>  [22058]  99.62429 100.12992  99.40322  99.59418  99.71459  99.94999 100.22974 #>  [22065] 100.02500  99.81483 100.01500  99.98500  99.72462 100.12492  99.85489 #>  [22072]  99.89995  99.72462 100.28958 100.41414 100.14490  99.77976 100.37928 #>  [22079] 100.29457 100.54352  99.86491  99.95999  99.84989 100.71246  99.98000 #>  [22086]  99.72963  99.54396 100.52860 100.21976 100.48383  99.83987  99.55903 #>  [22093] 100.38924 100.20978  99.94498  99.93998 100.35935 100.01500 100.01500 #>  [22100]  99.82986  99.90495 100.05498 100.65287 100.25468 100.52860  99.91997 #>  [22107]  99.76973 100.06998 100.21477  99.72963 100.63300  99.78477  99.99000 #>  [22114] 100.17485 100.10994  99.96499 100.11493  99.33781  99.56907  99.96499 #>  [22121]  99.90495  99.74969 100.15987 100.33942 100.07997 100.03999 100.03000 #>  [22128] 100.16486  99.48869 100.44401  99.47361 100.36434 100.14989  99.98000 #>  [22135]  99.96499  99.72963  99.78978  99.78978 100.09995  99.40825  99.58916 #>  [22142]  99.82986  99.98500 100.38426  99.67949 100.24470 100.09995  99.80982 #>  [22149] 100.40916 100.06498 100.39920  99.70456 100.25468 100.27462  99.75470 #>  [22156] 100.10494  99.94498  99.87492 100.04499  99.97500  99.90996 100.08996 #>  [22163]  99.67447  99.38813 100.48881  99.83987  99.64437  99.93998  99.76472 #>  [22170] 100.05998  99.88493 100.13990  99.77976  99.44345 100.12492 100.21477 #>  [22177] 100.18982 100.06998 100.01500 100.39920  99.67949  99.97500 100.43904 #>  [22184] 100.61312  99.79479  99.88493  99.95999 100.46890 100.16986  99.91496 #>  [22191]  99.40825  99.52889 100.08996 100.10994  99.70456 100.04499  99.91496 #>  [22198]  99.69955 100.01000 100.24969 100.45895 100.05498 100.11993  99.45853 #>  [22205] 100.03499  99.52889 100.03999 100.40916  99.65942 100.35935  99.72963 #>  [22212]  99.71459 100.17984  99.66444  99.81984 100.02000 100.04999 100.26964 #>  [22219] 100.64790 100.19980 100.05498 100.01500 100.19481  99.98500 100.04499 #>  [22226]  99.84488 100.26964 100.34441  99.83987 100.42410  99.66945 100.09495 #>  [22233]  99.52387 100.22475  99.59920  99.89995 100.01500 100.03499 100.19481 #>  [22240]  99.86491 100.54352  99.65942  99.83987 100.16986 100.43406  99.95999 #>  [22247]  99.87993 100.54850  99.80481  99.86491 100.47885 100.44899 100.53855 #>  [22254] 100.05998  99.84989 100.18982 100.08496  99.86491 100.38426 100.36434 #>  [22261] 100.52363  99.90996  99.99500 100.29457 100.30454 100.06498  99.72462 #>  [22268]  99.92998 100.23971 100.15987  99.50377 100.38924 100.01000  99.78978 #>  [22275] 100.34939  99.83486 100.33942 100.22974 100.10494 100.11993 100.01500 #>  [22282] 100.51865 100.28460  99.70456  99.40825  99.85489  99.88493 100.23971 #>  [22289]  99.89494  99.42837 100.28958 100.05498 100.00500 100.36434  99.87492 #>  [22296] 100.19980 100.09495  99.65942  99.79980 100.63797 100.37430  99.92998 #>  [22303]  99.79980  99.77475  99.77976 100.10994  99.99500  99.48869  99.80982 #>  [22310]  99.89494 100.10994 100.19481 100.23971 100.12492 100.30952 100.01500 #>  [22317]  99.75971  99.95499  99.86992 100.12992 100.42410 100.17984 100.15488 #>  [22324]  99.98500  99.50879 100.05498  99.83987  99.72963  99.27739  99.76472 #>  [22331]  99.68450  99.88493 100.44401  99.72963  99.97500 100.25966 100.00500 #>  [22338] 100.39422  99.41831  99.83987  99.85489  99.71459 100.11993  99.21693 #>  [22345]  99.34284  99.52889  99.80481  99.76472  99.80481 100.12492 100.10994 #>  [22352]  99.65440 100.43904  99.95499 100.07497  99.46859  99.63935 100.19980 #>  [22359]  99.79479  99.80481 100.42410  99.85990 100.38924  99.95999  99.79980 #>  [22366] 100.22974  99.34284 100.36932  99.80481  99.90495 100.11993 100.26465 #>  [22373]  99.75971  99.99000  99.99000 100.27462 100.07497 100.20978 100.02000 #>  [22380] 100.76210  99.73465 100.05498  99.72462 100.03000 100.20978 100.04999 #>  [22387] 100.04499  99.71459  99.97000 100.04999 100.12992 100.54850 100.19481 #>  [22394] 100.39920 100.20978  99.99500  99.89995 100.16486 100.14989 100.19481 #>  [22401] 100.56838  99.75971 100.10994  99.76973 100.16986 100.56341 100.13990 #>  [22408] 100.16486  99.83987  99.84488 100.40916 100.14989 100.18982  99.82485 #>  [22415] 100.01500  99.60422  99.74467 100.15987 100.10994 100.22974  99.86992 #>  [22422]  99.92497  99.76472 100.02500  99.88994 100.04999 100.61809  99.78978 #>  [22429] 100.32447  99.87492 100.43406 100.12992 100.38924  99.89995  99.88994 #>  [22436]  99.84989  99.96499  99.71459 100.13491  99.90495  99.34787 100.30454 #>  [22443] 100.32447  99.63433 100.19980  99.72462  99.99500 100.32946  99.83486 #>  [22450]  99.84989 100.19980 100.28460  99.92497  99.99000 100.53855 100.23472 #>  [22457] 100.28460  99.55903  99.96499 100.11493 100.04999  99.86992 100.15488 #>  [22464] 100.17984 100.23472  99.97000 100.32946  99.81984  99.54396  99.91496 #>  [22471] 100.00000 100.11493  99.98500 100.25966  99.94498 100.16986  99.99000 #>  [22478]  99.56907 100.66777 100.08996  99.92998 100.65287  99.95999  99.83987 #>  [22485]  99.73465 100.34939 100.42410 100.34939 100.32946 100.53358  99.50377 #>  [22492]  99.77475 100.02500 100.49378 100.16986  99.75971  99.74969  99.52387 #>  [22499] 100.08496 100.15987 100.13990  99.62931 100.07997  99.87492 100.08496 #>  [22506] 100.21477 100.15987  99.86992  99.86992 100.46392 100.33444  99.71459 #>  [22513] 100.24969  99.67447  99.86491  99.98000  99.88994  99.97500 100.70253 #>  [22520] 100.02500  99.79980 100.02000  99.88994 100.15488 100.10494  99.79479 #>  [22527] 100.01000 100.17485  99.95999  99.85489 100.15987 100.16486 100.12492 #>  [22534] 100.54850  99.87492  99.66444  99.50377  99.55903 100.29457 100.38426 #>  [22541]  99.93998  99.50377 100.32946  99.98500  99.40322 100.37928  99.95999 #>  [22548]  99.65440  99.89494  99.78978  99.87492 100.05998 100.12492 100.54352 #>  [22555]  99.99500  99.86491 100.29955  99.79980  99.92998  99.96499  99.71961 #>  [22562] 100.05498 100.13990  99.55401 100.08496  99.71459  99.82485 100.04999 #>  [22569]  99.47864 100.03999  99.94498  99.75971  99.92998  99.78477  99.86992 #>  [22576]  99.97500  99.76472  99.68450  99.64939  99.71459 100.18483 100.21976 #>  [22583] 100.04999 100.49378 100.17984 100.47885  99.92998 100.56838 100.54352 #>  [22590] 100.00500 100.37928 100.01000  99.79479 100.46392 100.15488  99.81984 #>  [22597] 100.23472 100.10994  99.80481 100.18483 100.45895  99.36800  99.90996 #>  [22604] 100.20479 100.20479  99.99500 100.01000  99.59920  99.86992 100.30454 #>  [22611]  99.57911 100.30952 100.08496  99.80982  99.77475  99.61426 100.28460 #>  [22618]  99.77475 100.23971 100.03000 100.42908  99.90996 100.50373  99.68450 #>  [22625] 100.11493  99.75470 100.19980 100.02500  99.71961 100.29955 100.34441 #>  [22632]  99.97000 100.19481 100.55347  99.70958 100.09995  99.72963  99.58414 #>  [22639]  99.78978 100.32946 100.44899 100.23472 100.02000  99.88493 100.23472 #>  [22646] 100.00500 100.04499 100.00500  99.86992  99.88994  99.53391 100.44899 #>  [22653] 100.15488 100.05998 100.14989 100.18982  99.71961 100.03499  99.89494 #>  [22660] 100.32447 100.19481  99.88493 100.03999 100.24969  99.72963 100.05998 #>  [22667] 100.16486 100.46890  99.70958 100.36434  99.81984  99.71459 100.28460 #>  [22674] 100.51368 100.00000 100.04499 100.25966 100.09995  99.94498 100.26964 #>  [22681]  99.31767  99.87492  99.64437 100.29955 100.45397  99.89494  99.81984 #>  [22688]  99.70958 100.56838 100.49876 100.10994 100.25468 100.16486  99.63433 #>  [22695]  99.62931  99.74467  99.93498  99.49874  99.94999 100.35935 100.40916 #>  [22702] 100.10994 100.12992 100.22475  99.55401  99.73465  99.67949  99.66945 #>  [22709]  99.62931  99.49874 100.04999  99.72963 100.32946  99.92497 100.27961 #>  [22716] 100.79683 100.58330  99.73465  99.79479  99.93498  99.70958 100.05498 #>  [22723]  99.95999  99.95999  99.87993  99.95499  99.91496 100.03499 100.08996 #>  [22730] 100.72239  99.74969 100.02500 100.11493  99.43339 100.49876  99.85489 #>  [22737] 100.51368  99.49372 100.37430 100.03000  99.84989 100.40916  99.20181 #>  [22744] 100.10994 100.50373 100.05998 100.24470 100.49876 100.22475  99.92998 #>  [22751]  99.45853  99.86992  99.81984 100.25468 100.14989  99.66945 100.26964 #>  [22758]  99.79980 100.32447 100.35935  99.87492 100.33942 100.02000 100.18483 #>  [22765] 100.10494 100.17984  99.97500  99.69955 100.14490  99.65942 100.43406 #>  [22772] 100.15987  99.95999 100.27961  99.98000  99.95499 100.20479  99.88994 #>  [22779] 100.22974 100.02500  99.72462 100.08996  99.82485 100.07997 100.33942 #>  [22786]  99.61928  99.93998  99.81483 100.20978 100.33942  99.98500  99.99500 #>  [22793] 100.31949  99.88994 100.63797  99.97000  99.92497  99.90495  99.87993 #>  [22800] 100.32447  99.57911  99.99500 100.39920  99.09591  99.42334  99.62931 #>  [22807]  99.77475  99.76973 100.13990 100.01000  99.75971  99.93998  99.69453 #>  [22814]  99.51884 100.05998 100.08496  99.42837 100.24470  99.63433  99.66945 #>  [22821] 100.07997  99.76472 100.16486 100.63300 100.33942 100.09995 100.27961 #>  [22828] 100.05998  99.56405 100.32946 100.11993 100.19481 100.46890  99.96499 #>  [22835] 100.27961  99.78477 100.05998  99.56907 100.16486 100.24470 100.27462 #>  [22842]  99.69955 100.40916  99.82485 100.19980  99.44848 100.00000  99.82485 #>  [22849] 100.37928  99.74467  99.93998 100.01500  99.88994  99.64437  99.88493 #>  [22856]  99.95999  99.76973 100.27462 100.06498  99.73465 100.50373 100.13491 #>  [22863] 100.11993  99.71961 100.01000  99.97500 100.12492  99.83987  99.91997 #>  [22870]  99.89995  99.35794  99.98500 100.00000  99.96499  99.50879 100.27462 #>  [22877]  99.79980 100.47388 100.13990 100.16986  99.53391 100.40418  99.97500 #>  [22884]  99.48367  99.67447  99.78978 100.03000 100.31949 100.65287 100.04999 #>  [22891] 100.06498  99.46859 100.29457 100.10994  99.57409 100.48881 100.35935 #>  [22898] 100.37430 100.36434 100.45895  99.74467  99.66945  99.65942 100.17984 #>  [22905]  99.17661 100.30454  99.89494  99.91997 100.72735  99.90495 100.23472 #>  [22912] 100.15488  99.96499 100.04499 100.15987 100.18483  99.67447  99.48367 #>  [22919] 100.32946 100.22974 100.04499 100.01000 100.03499  99.80982 100.00500 #>  [22926] 100.11493 100.05498 100.24470 100.10494 100.49876 100.10994  99.47361 #>  [22933]  99.91496  99.56405 100.18483  99.66444  99.84989 100.07497 100.09495 #>  [22940] 100.05998 100.49876  99.63935  99.76973 100.19481  99.84488 100.45397 #>  [22947] 100.08996  99.85990 100.10494 100.11493  99.83987  99.61426  99.97000 #>  [22954]  99.70958 100.38924  99.97500 100.04499  99.76973 100.04499  99.86992 #>  [22961] 100.22974 100.05498 100.09495  99.90996  99.84488  99.68952 100.31949 #>  [22968]  99.72462  99.90996  99.87993 100.46392  99.72462  99.96499  99.72963 #>  [22975]  99.80481 100.55347  99.79479 100.24470  99.74467 100.13491  99.69955 #>  [22982]  99.62429  99.67447  99.97000 100.07997 100.47388  99.96499 100.18483 #>  [22989]  99.55903  99.70958  99.88994  99.98000 100.20978 100.14490  99.70456 #>  [22996] 100.25468  99.93498 100.28460  99.78477  99.75470 100.28460 100.05998 #>  [23003]  99.58414 100.77202  99.32774  99.97500  99.48367 100.39920 100.15488 #>  [23010]  99.67949  99.85489  99.93998  99.56405 100.12992  99.68450 100.11493 #>  [23017]  99.87993 100.16486  99.88994 100.36434 100.04999 100.16986 100.03000 #>  [23024] 100.18982 100.31949  99.37303 100.18982  99.77475 100.28958  99.63935 #>  [23031] 100.43904  99.79479 100.18982  99.77976  99.64939 100.12992 100.34939 #>  [23038]  99.60924  99.87492  99.96499 100.11993 100.03999 100.13491 100.02500 #>  [23045] 100.09495  99.85990 100.16986 100.02500  99.40322 100.07497  99.43842 #>  [23052] 100.31451 100.07497 100.53855  99.45853  99.97500 100.26964 100.04999 #>  [23059]  99.73966  99.67447  99.70958  99.92998 100.16486 100.28958  99.92998 #>  [23066] 100.31949  99.93998 100.20479  99.80481  99.89494 100.07997 100.10494 #>  [23073]  99.92998 100.13491 100.12992 100.27462  99.96499 100.11493 100.38924 #>  [23080]  99.93998  99.83486 100.53855 100.20978  99.98000  99.85489 100.16986 #>  [23087]  99.89494  99.81984  99.53391 100.14490 100.02000 100.08996 100.11493 #>  [23094]  99.46356  99.91997  99.82986  99.74467  99.85990  99.86992 100.32946 #>  [23101] 100.11993 100.52860  99.58916 100.24470 100.22475  99.81483  99.76973 #>  [23108]  99.68450  99.91496  99.52889  99.53391  99.80481  99.92497  99.79980 #>  [23115]  99.45351 100.22475 100.14989  99.68450 100.50373 100.22974  99.89995 #>  [23122]  99.73465  99.51382  99.75971  99.58414  99.96499  99.74969  99.81483 #>  [23129]  99.55401  99.84989 100.20978 100.12992  99.81984 100.35935 100.00500 #>  [23136]  99.67447  99.78477  99.82485  99.82485  99.67949  99.44848 100.31949 #>  [23143]  99.49372  99.66945  99.80982  99.75971  99.65440 100.11493  99.36800 #>  [23150] 100.50871 100.32946  99.70456  99.46859  99.63433  99.79980 100.02500 #>  [23157] 100.23971  99.81483  99.57911 100.08496 100.12992 100.14989  99.68450 #>  [23164] 100.05998 100.25966 100.74225  99.92497 100.12992 100.10494  99.94498 #>  [23171]  99.93998 100.18982 100.55844  99.91997 100.10994 100.21976  99.76973 #>  [23178] 100.37928 100.41912  99.66444 100.14989 100.24969 100.34939 100.31451 #>  [23185] 100.14490  99.75971  99.78978 100.52860 100.10494 100.53855  99.65440 #>  [23192]  99.45351 100.19481 100.12992 100.04999  99.90996 100.03000  99.71459 #>  [23199] 100.00500 100.20479 100.21976  99.42837  99.90996  99.87993  99.73966 #>  [23206] 100.20479  99.28746  99.58916 100.08996  99.47864  99.93498  99.86992 #>  [23213] 100.62803 100.53358 100.59324 100.13491 100.27961 100.23472  99.85990 #>  [23220]  99.50377 100.05498 100.27462 100.39920 100.06498 100.26964 100.11493 #>  [23227] 100.42908 100.10494  99.72963 100.23472 100.14989 100.25966 100.35935 #>  [23234]  99.99000 100.05498 100.09995  99.63935 100.17984 100.29955 100.20978 #>  [23241] 100.38426  99.97000  99.97500 100.20479  99.72963 100.31949  99.82986 #>  [23248] 100.21976  99.91997  99.96499  99.81984  99.54898 100.37928  99.48869 #>  [23255] 100.10994  99.88493 100.39422 100.50373 100.41414  99.97000  99.71961 #>  [23262] 100.00500  99.86992  99.82986 100.06498  99.43339  99.42334  99.38813 #>  [23269] 100.42410 100.11993  99.60924  99.64437  99.66444 100.10494  99.98500 #>  [23276] 100.01000 100.34939 100.90590  99.61928 100.07997  99.91496  99.53894 #>  [23283]  99.99000 100.06498  99.85990  99.60422 100.02000  99.75470 100.21477 #>  [23290] 100.19481 100.18982  99.64939  99.52889  99.87993 100.10494  99.52889 #>  [23297]  99.37303  99.99500  99.64437 100.25468  99.87492 100.31451 100.02000 #>  [23304]  99.76973  99.79479 100.15987  99.85990  99.87993 100.33444 100.00000 #>  [23311]  99.75470  99.80481 100.22475 100.02500  99.63433 100.15987  99.76973 #>  [23318]  99.82986  99.85990 100.12992  99.95999 100.16986 100.12992  99.96499 #>  [23325]  99.76472 100.46392  99.95999 100.23472 100.16486 100.10994 100.40916 #>  [23332] 100.10994 100.44899 100.50871 100.09495  99.45853 100.24969 100.11993 #>  [23339]  99.97000 100.18483  99.72963 100.53358 100.23971  99.86491  99.99500 #>  [23346] 100.37928 100.26465  99.58916 100.14490  99.73465 100.02000 100.16986 #>  [23353]  99.77976  99.88493 100.54850  99.74969 100.39920  99.83987  99.86491 #>  [23360] 100.12492 100.02500 100.22475  99.70958  99.79980  99.56907 100.00000 #>  [23367]  99.94999  99.97500  99.69955  99.63935  99.97500 100.31451 100.05998 #>  [23374] 100.36932  99.85489 100.01500 100.03000  99.69453  99.88994 100.06498 #>  [23381]  99.86491  99.65942 100.10494  99.80982 100.21976  99.79980  99.58916 #>  [23388]  99.77475 100.14490  99.88994 100.13491 100.35437 100.12492  99.82485 #>  [23395] 100.21477  99.88994 100.01000  99.86491  99.84989  99.51382  99.59920 #>  [23402]  99.62429  99.66444  99.94999 100.15987 100.10994 100.36434  99.55401 #>  [23409] 100.63797  99.86992 100.14490 100.04499 100.00000  99.86992  99.43842 #>  [23416] 100.45895 100.03999 100.33942  99.91997 100.36434  99.79980 100.00500 #>  [23423]  99.52889  99.93998  99.95499 100.04499  99.76973 100.08996  99.70958 #>  [23430]  99.94498 100.18483 100.25966  99.80982  99.99000  99.83486 100.28958 #>  [23437]  99.98000 100.30952  99.78477  99.66945  99.77976  99.77475  99.73465 #>  [23444]  99.95999  99.84488  99.46356 100.06498  99.69955 100.31451  99.57409 #>  [23451]  99.60924  99.40322  99.88994 100.47885 100.12992  99.95999  99.47361 #>  [23458]  99.70958 100.04499  99.94999  99.94999  99.92998  99.90495  99.98500 #>  [23465]  99.76472 100.56838 100.12992  99.93498  99.70958 100.78194  99.86992 #>  [23472] 100.19481 100.28958 100.09995 100.00000 100.04499  99.94498  99.45351 #>  [23479] 100.27462  99.76472  99.69453 100.15987  99.78477  99.99500 100.18982 #>  [23486] 100.07997  99.97000 100.19980 100.26964  99.78477  99.80982  99.96499 #>  [23493] 100.13990 100.17984  99.58916  99.89995 100.03499 100.23971  99.84488 #>  [23500] 100.14490  99.38310  99.81483  99.52387 100.28460 100.12992 100.33942 #>  [23507] 100.13990  99.48869 100.40418 100.20978 100.22475 100.50373 100.07997 #>  [23514]  99.49372  99.61426 100.35437  99.56405  99.79479  99.93998  99.51884 #>  [23521]  99.75971 100.04999 100.03999  99.49874 100.24969 100.08496  99.95499 #>  [23528]  99.98500  99.88493 100.05998  99.95499 100.27462 100.41912  99.97000 #>  [23535] 100.30952 100.32447  99.86491 100.25468  99.36800 100.17984 100.34441 #>  [23542]  99.94498 100.44401  99.68450 100.38426 100.70750 100.26964 100.13990 #>  [23549] 100.60815 100.05998 100.20479  99.61426 100.18483 100.15987 100.22974 #>  [23556]  99.98000  99.66945  99.86491 100.20479 100.15488 100.17984 100.24470 #>  [23563]  99.79479 100.34939 100.12992 100.07997  99.88493  99.70456  99.91496 #>  [23570]  99.98500 100.06998 100.18483 100.12992  99.65440  99.41328  99.93498 #>  [23577]  99.87993  99.74969 100.15488 100.10994 100.10994  99.82986  99.87492 #>  [23584]  99.73465 100.38924 100.37928 100.10994 100.09495 100.04999  99.95499 #>  [23591] 100.29955 100.00500  99.53391  99.69955  99.81483  99.85990  99.95499 #>  [23598]  99.87993 100.03499  99.83486 100.12992  99.94999 100.20479  99.80982 #>  [23605] 100.56838  99.77976 100.00000 100.23472  99.54898 100.23971  99.95499 #>  [23612]  99.56907 100.01000  99.93998  99.94498  99.86992  99.87993 100.17984 #>  [23619] 100.06498  99.55903  99.67447 100.07997 100.44401  99.82485 100.18982 #>  [23626]  99.73966 100.70253  99.87993 100.03999  99.79980 100.09495  99.67447 #>  [23633] 100.36434  99.74969 100.01000  99.77976  99.86491  99.86491  99.79479 #>  [23640]  99.94999 100.17984 100.05498 100.38924 100.08496 100.02500  99.70456 #>  [23647] 100.36434 100.28460 100.33942  99.93998 100.16486  99.78477  99.84488 #>  [23654] 100.38924  99.80481 100.20479 100.44401  99.95999  99.83486 100.11493 #>  [23661]  99.92497  99.70958  99.76472  99.86491  99.53391  99.75971  99.77475 #>  [23668] 100.04999  99.65440 100.46890 100.23971 100.28958  99.81984 100.32946 #>  [23675]  99.95499  99.82986  99.90996  99.92497 100.57833 100.52363 100.36932 #>  [23682] 100.36434  99.94999  99.76472 100.06498  99.76973 100.09495  99.43842 #>  [23689] 100.00500 100.27961  99.87993  99.94999 100.21976  99.58916  99.99000 #>  [23696]  99.73465 100.13491  99.77976 100.17984  99.77976 100.09995  99.80481 #>  [23703] 100.50373 100.39920 100.07497 100.34939 100.13491 100.39422  99.93998 #>  [23710]  99.71961  99.74969  99.76973  99.56907 100.03000  99.54396  99.72462 #>  [23717]  99.78477  99.71961 100.03499 100.38426 100.36434 100.29955  99.46356 #>  [23724] 100.17984 100.04499  99.89995 100.34441 100.06498  99.58916  99.97000 #>  [23731] 100.01500 100.00000  99.81483  99.89494  99.92497 100.17485 100.50373 #>  [23738] 100.29955 100.15488  99.93498  99.86491  99.61426 100.19980  99.88493 #>  [23745]  99.28746  99.57911 100.33942 100.10994  99.62429 100.05998  99.93998 #>  [23752]  99.89494 100.22974 100.25966  99.65942 100.28958  99.67447  99.94498 #>  [23759]  99.51382  99.30257  99.51884  99.48869 100.14490  99.84488 100.27462 #>  [23766]  99.72462 100.28958 100.15488 100.31949  99.66444 100.00000 100.01000 #>  [23773]  99.87993 100.02000 100.21477 100.24969  99.60924  99.81483  99.86491 #>  [23780] 100.24969 100.36932 100.08996 100.11993 100.24969  99.74969 100.42908 #>  [23787] 100.27961  99.72963 100.03499  99.61928  99.98000  99.81984  99.62931 #>  [23794] 100.39920  99.29250 100.10494  99.70958  99.59418  99.70958  99.62931 #>  [23801]  99.73966 100.21477  99.98500  99.89995  99.61928 100.14490 100.44401 #>  [23808]  99.49874  99.73465  99.99500 100.19980 100.46890 100.30454  99.90996 #>  [23815] 100.50373  99.87492 100.03499 100.03999  99.97500  99.54396 100.02000 #>  [23822]  99.84488 100.20479 100.32946  99.80481  99.62429  99.98000  99.98000 #>  [23829]  99.33277  99.71961 100.29457 100.38426  99.42837  99.96499 100.13990 #>  [23836] 100.02000  99.52387 100.09995  99.95499 100.36434  99.97500 100.07997 #>  [23843] 100.20978  99.68952  99.97500  99.91997 100.20978 100.17984  99.82986 #>  [23850]  99.92497 100.32946 100.01500 100.15488 100.20978  99.77976  99.58414 #>  [23857]  99.93498 100.19481  99.65942  99.88493  99.89995  99.66444  99.62429 #>  [23864] 100.16486 100.39920  99.48869  99.69955 100.18483 100.26964  99.99500 #>  [23871]  99.90996 100.38426  99.52889  99.56405  99.93998  99.72462  99.77976 #>  [23878]  99.93998  99.76973 100.03499 100.12492 100.40418  99.82986 100.15488 #>  [23885] 100.18483  99.83486  99.49372  99.65440  99.52889 100.05998  99.88493 #>  [23892] 100.04999 100.77698 100.17485  99.87993 100.18483 100.40418 100.24470 #>  [23899] 100.22974  99.77475  99.77475  99.87993 100.36932  99.86992 100.28460 #>  [23906]  99.83486 100.46392  99.82485  99.73966 100.03499 100.27961  99.52387 #>  [23913]  99.52387  99.78978  99.89494  99.47361  99.72963  99.83486 100.08996 #>  [23920] 100.12492 100.04999 100.03000  99.95999  99.86491  99.76973  99.99000 #>  [23927] 100.45397 100.19481 100.09995 100.24470 100.19980  99.64437 100.11493 #>  [23934] 100.21477 100.06498  99.88493 100.47885 100.02000 100.10494 100.01500 #>  [23941] 100.34939 100.27462  99.52387 100.11493 100.11493 100.05998 100.33942 #>  [23948] 100.25966 100.40418 100.07997 100.23472 100.14490 100.17485  99.79479 #>  [23955] 100.48383  99.66945 100.21976  99.46356  99.48367  99.38813 100.70253 #>  [23962] 100.47388 100.14989  99.87993  99.88994  99.80481  99.84989 100.19481 #>  [23969] 100.05498 100.47885  99.62931 100.03000 100.21477  99.97500  99.92497 #>  [23976]  99.70958  99.71459  99.93498 100.10994 100.13990 100.51865  99.39819 #>  [23983] 100.60815  99.70456  99.58414 100.00500  99.70958 100.25966  99.72462 #>  [23990] 100.68764 100.53855  99.67949 100.20479 100.32447 100.34939  99.82485 #>  [23997]  99.81984 100.57833  99.44345  99.79980 100.44401  99.48367  99.57409 #>  [24004] 100.24969  99.62429  99.64437  99.97500 100.02000 100.04999 100.25468 #>  [24011]  99.93998 100.06998  99.88994 100.33444  99.80982  99.50879  99.99500 #>  [24018]  99.79479  99.88994 100.25468 100.03499  99.80481  99.56405  99.55903 #>  [24025]  99.88493  99.88493  99.96499  99.91997 100.13990  99.94498  99.95999 #>  [24032] 100.09495 100.13491 100.13990 100.28958 100.05998  99.82485 100.19980 #>  [24039] 100.14989 100.20978 100.36434  99.94498 100.50871  99.92497 100.06498 #>  [24046] 100.39422 100.05998  99.38310 100.08496  99.24213  99.56405 100.29457 #>  [24053] 100.14989  99.94999 100.08996 100.28958 100.32447 100.03499 100.02500 #>  [24060] 100.19481 100.24470 100.00500  99.64939  99.94498  99.90495 100.14490 #>  [24067] 100.04499 100.02500  99.95999 100.21477 100.73232 100.00500 100.16986 #>  [24074] 100.03499 100.38924  99.89995  99.73966  99.67949 100.25468  99.35794 #>  [24081]  99.86491 100.22475 100.30952 100.35935  99.98000  99.66444  99.96499 #>  [24088] 100.06498  99.89995  99.92497 100.17984 100.13491 100.14490 100.20978 #>  [24095] 100.23472  99.99500 100.34441 100.17485 100.27961  99.83987  99.67447 #>  [24102]  99.84989  99.90495  99.74467 100.04999 100.29457  99.28746 100.24969 #>  [24109] 100.06998  99.69453 100.00500 100.17485  99.65440 100.14989 100.21976 #>  [24116]  99.83486 100.25966  99.91496  99.86491 100.15987 100.01500 100.11993 #>  [24123]  99.66444 100.11493 100.04499 100.53358  99.32271  99.77475 100.46890 #>  [24130] 100.51865  99.25220 100.17984  99.97000  99.92998 100.05998 100.30454 #>  [24137] 100.15488 100.06998  99.90495  99.17157 100.03000  99.49372  99.82986 #>  [24144]  99.78978 100.03499  99.82485  99.73966  99.95499  99.90495 100.22974 #>  [24151] 100.17984  99.92497 100.05998 100.25966  99.58916  99.79479 100.10494 #>  [24158] 100.01500  99.93498  99.90495 100.21477 100.23472  99.97000  99.75470 #>  [24165]  99.51382  99.73966  99.31767 100.21976  99.77475 100.21976  99.74969 #>  [24172]  99.79479 100.14490  99.62931  99.93498  99.63935 100.23971  99.78978 #>  [24179]  99.82485  99.76973  99.74969 100.24470 100.52860 100.16986  99.64437 #>  [24186]  99.74969  99.82986  99.90996  99.77475 100.10994 100.38924  99.41831 #>  [24193] 100.37928  99.84488 100.01000  99.64437 100.00000  99.73465 100.21976 #>  [24200] 100.52860 100.14989  99.50879  99.74969  99.60422  99.75971  99.72963 #>  [24207]  99.72963  99.56405 100.42410  99.59418  99.72462  99.89995 100.01000 #>  [24214]  99.98000  99.78978  99.73966  99.51884 100.22475 100.15987  99.81984 #>  [24221] 100.17984  99.88493  99.62429  99.74969  99.94498 100.00500 100.67274 #>  [24228] 100.16486  99.92998  99.84488 100.58827 100.35437  99.76973  99.90996 #>  [24235] 100.11493 100.39920  99.40825 100.07997 100.33942  99.84488  99.84989 #>  [24242] 100.44401 100.03000  99.83987 100.52363 100.31451 100.54352  99.94498 #>  [24249]  99.85489 100.36434  99.65942 100.22475 100.46392 100.56341  99.54898 #>  [24256]  99.97500 100.02000  99.76973 100.14989  99.83486  99.71961  99.59920 #>  [24263]  99.87492 100.06998 100.46392  99.92998  99.89995 100.00000 100.34441 #>  [24270] 100.10494 100.26964 100.61809  99.65942 100.51368  99.83987  99.83987 #>  [24277] 100.12992 100.31949 100.33444 100.17984 100.15488 100.49876 100.14490 #>  [24284]  99.56405 100.00500 100.19481 100.62803 100.05498 100.28958 100.08496 #>  [24291]  99.86491  99.93998 100.01000 100.14989  99.63935  99.22701  99.55903 #>  [24298] 100.42410  99.52387 100.15488  99.98500  99.83486 100.17485 100.02000 #>  [24305]  99.81483  99.99000 100.26465 100.58330 100.38426 100.08496 100.53855 #>  [24312] 100.33942 100.30454 100.32946 100.26964 100.35437  99.60422  99.58916 #>  [24319]  99.96499 100.00500 100.13990 100.25468  99.84488  99.87993 100.52860 #>  [24326]  99.83486  99.72462  99.86992  99.98000  99.84989 100.20479 100.17984 #>  [24333] 100.11993  99.58414 100.10994  99.84488 100.13491 100.27462  99.97000 #>  [24340]  99.47361 100.12492  99.67447  99.94999  99.71961 100.14490  99.92497 #>  [24347]  99.74969 100.26465  99.92497 100.21976  99.83987 100.08996 100.03499 #>  [24354]  99.79479 100.17485 100.31949  99.86992 100.07997 100.30952 100.31451 #>  [24361] 100.32447  99.65942  99.92998 100.22475  99.82485  99.77475 100.27961 #>  [24368]  99.71961  99.64437  99.78477 100.26964 100.12992  99.96499 100.17984 #>  [24375]  99.85489  99.99000 100.55844  99.88493 100.11493  99.66945  99.89995 #>  [24382] 100.40916 100.07997 100.39422  99.60924  99.78477 100.12492 100.09995 #>  [24389]  99.82485  99.92497 100.52860  99.99000 100.16986 100.01500  99.85489 #>  [24396] 100.14490  99.74467 100.00500 100.58827 100.01000  99.87993  99.97500 #>  [24403] 100.58827  99.34284  99.43339  99.49874 100.00000 100.10494  99.85990 #>  [24410] 100.49378 100.10994 100.35437 100.06498  99.95499 100.43406 100.41912 #>  [24417] 100.14490  99.22701  99.63935 100.34441 100.38426 100.09495  99.65440 #>  [24424]  99.81984  99.89494 100.27961  99.83987  99.68450  99.91496 100.28958 #>  [24431]  99.93998 100.38426  99.67447 100.54352  99.66945  99.99500  99.64437 #>  [24438]  99.76472  99.82986 100.29457 100.14490  99.93498  99.72963  99.80982 #>  [24445] 100.37430  99.89995  99.45853  99.95999  99.97500  99.72963 100.06498 #>  [24452]  99.58414 100.24470  99.83987 100.11493  99.88994 100.22974 100.57833 #>  [24459] 100.02000  99.53391  99.94498  99.64939  99.92497 100.42908 100.18982 #>  [24466]  99.66945 100.08496 100.20479 100.42908 100.02000 100.45895 100.26465 #>  [24473]  99.75971  99.88994  99.79479 100.03999 100.21976  99.81984 100.19481 #>  [24480] 100.27462  99.62931 100.19481  99.86491  99.38813 100.30952 100.06498 #>  [24487]  99.92998 100.03000 100.03499  99.78477 100.25468  99.81483  99.51382 #>  [24494]  99.88493 100.29955 100.00000  99.90495 100.04499 100.23472  99.83987 #>  [24501] 100.05998  99.61928 100.21477 100.26465  99.94999 100.32447  99.98000 #>  [24508] 100.46890 100.15488 100.25468  99.78477 100.49378  99.92998  99.74969 #>  [24515] 100.02000  99.93498 100.43406  99.65942 100.11993  99.64437  99.88994 #>  [24522]  99.92497  99.78477  99.72963  99.84989 100.47388 100.05998  99.40825 #>  [24529] 100.27462  99.56405 100.29955 100.17984 100.11993  99.75971  99.93998 #>  [24536] 100.10994 100.14490  99.80481 100.11993 100.01500  99.66444  99.99000 #>  [24543] 100.23971 100.18483 100.10494 100.22974 100.06998 100.02000  99.77976 #>  [24550]  99.56405  99.88994  99.90495  99.68952 100.24470 100.34939 100.16486 #>  [24557] 100.02500  99.68952  99.91997 100.18483 100.44899 100.22974 100.14989 #>  [24564]  99.93498 100.03999 100.10494 100.09995  99.45351 100.24470  99.84488 #>  [24571] 100.22974 100.14989  99.58414  99.69453  99.88994  99.97000  99.98000 #>  [24578]  99.59920 100.29955 100.14989 100.06998 100.64790  99.99500  99.79980 #>  [24585] 100.08496 100.59821 100.31949 100.30454  99.79479 100.02000 100.51865 #>  [24592]  99.93498  99.82485 100.01000  99.83987  99.86491 100.15987  99.92998 #>  [24599] 100.03999  99.80982 100.21477 100.36932 100.35935 100.27961  99.95499 #>  [24606] 100.12992 100.04499  99.91496 100.57833 100.25966 100.60318 100.03999 #>  [24613] 100.56341 100.60815  99.29753  99.58414 100.00000 100.07497  99.81483 #>  [24620]  99.79980  99.91997 100.01000 100.37430  99.84488 100.20978 100.01500 #>  [24627] 100.03000 100.10494 100.30454  99.76472 100.02500  99.43842  99.72963 #>  [24634] 100.00000  99.97500 100.48383 100.17984  99.97500 100.48881 100.22475 #>  [24641]  99.88493 100.10494 100.28460 100.00000 100.16986 100.02000  99.92998 #>  [24648]  99.61928 100.64293 100.08996 100.32447  99.70958 100.00000 100.22974 #>  [24655]  99.76973  99.85489  99.91496 100.51865 100.54352 100.17485 100.05498 #>  [24662] 100.17485  99.43339  99.58916 100.10494 100.37430 100.23472 100.12992 #>  [24669]  99.64437  99.87492  99.61928 100.58330  99.65942 100.32946  99.71961 #>  [24676]  99.95999 100.03999 100.45895  99.87993  99.45853 100.52860  99.63935 #>  [24683]  99.72462 100.09495 100.86625  99.95999 100.19481 100.12492 100.70253 #>  [24690] 100.29955 100.07997 100.02000  99.80982 100.07497 100.08496 100.09995 #>  [24697]  99.90495  99.90996 100.21976  99.81984  99.66444 100.04499  99.80481 #>  [24704] 100.11493  99.93998 100.08496  99.99500 100.09495 100.05498 100.16986 #>  [24711] 100.28460  99.87492  99.73966  99.74969 100.25468 100.03499 100.34939 #>  [24718]  99.87492 100.10494 100.33444 100.12492  99.62429  99.65942  99.81984 #>  [24725]  99.75971  99.90495  99.85990 100.24470 100.47885  99.87993 100.05498 #>  [24732] 100.21976 100.50373 100.49378 100.02500 100.40916 100.22475  99.81483 #>  [24739] 100.11993  99.82485 100.12492  99.93998  99.95499  99.80982  99.88493 #>  [24746] 100.36932  99.43339 100.05498 100.32447  99.42837 100.00000  99.88994 #>  [24753]  99.69453  99.78477  99.92998 100.13990 100.18483 100.00000 100.30952 #>  [24760]  99.98500 100.69757  99.38813  99.92998 100.14490 100.18982  99.68952 #>  [24767]  99.93998 100.19481 100.28460  99.69955 100.02000 100.00500  99.98500 #>  [24774] 100.09995  99.83486  99.92497 100.32946 100.25468 100.40418 100.53855 #>  [24781] 100.27961 100.30454 100.58827 100.08996 100.03999  99.68952 100.11993 #>  [24788] 100.14989  99.82986 100.16986  99.83486  99.91997 100.20978 100.00500 #>  [24795] 100.13990  99.95999 100.13491  99.86992  99.94999 100.10494 100.06998 #>  [24802]  99.72963  99.74467 100.35437 100.06998 100.37430 100.31949 100.02500 #>  [24809]  99.78978 100.15488 100.13990 100.16486 100.26964 100.26964  99.57409 #>  [24816]  99.90996  99.79980 100.27462  99.90996  99.99000  99.87993  99.78477 #>  [24823] 100.58330 100.46392  99.48869  99.79980 100.20479 100.02000  99.55903 #>  [24830] 100.05998 100.54850 100.39920 100.21477  99.80481  99.73465  99.92497 #>  [24837] 100.10994  99.91496  99.61928 100.06998  99.48367  99.67949  99.77475 #>  [24844] 100.05998 100.21477 100.00500 100.03999  99.82986 100.23472  99.95999 #>  [24851]  99.59418  99.96499 100.03499  99.72462  99.69453  99.99500  99.90996 #>  [24858]  99.66945  99.92998  99.85489 100.51865 100.21477 100.11493 100.31451 #>  [24865]  99.68952 100.31949  99.67949 100.04499 100.11493 100.21477 100.02500 #>  [24872] 100.47388 100.03999 100.07497  99.97000  99.89995 100.02500 100.21976 #>  [24879] 100.23971 100.29457  99.98500  99.92497  99.71459 100.16986 100.66280 #>  [24886]  99.81483  99.89995 100.54850  99.87993  99.99500  99.70456 100.14989 #>  [24893]  99.80982  99.73465  99.54396 100.07497 100.04499  99.80481  99.93498 #>  [24900]  99.85990 100.03499 100.29457 100.17485  99.92998 100.37430  99.87993 #>  [24907]  99.61426 100.35935  99.99500  99.92497  99.86491  99.73465  99.58916 #>  [24914]  99.85489  99.69453  99.70958 100.06998 100.20978  99.95499  99.61426 #>  [24921] 100.42410 100.00000  99.75470 100.12492  99.66444  99.89995 100.31949 #>  [24928] 100.32946 100.24470  99.63433 100.33444  99.87993 100.54352 100.37430 #>  [24935] 100.33444 100.39422  99.31264 100.04499  99.99000  99.81984 100.32447 #>  [24942]  99.57409 100.26964  99.85990 100.31451  99.69453 100.13990  99.63935 #>  [24949]  99.56405 100.27961  99.82485 100.29457  99.69955 100.12992  99.86491 #>  [24956]  99.76472 100.21976 100.20978 100.58330 100.32447 100.24969  99.41328 #>  [24963]  99.70456  99.31767  99.51884 100.27462  99.77976  99.76472 100.03499 #>  [24970] 100.19980  99.85990  99.99000  99.86491 100.53855 100.62803  99.46859 #>  [24977]  99.92998 100.30952 100.56341 100.25966 100.10994 100.07997 100.07497 #>  [24984]  99.95499  99.68450 100.08996  99.79479  99.93998 100.48383 100.23472 #>  [24991] 100.16986  99.66945 100.27462  99.78477 100.17485  99.86992  99.67447 #>  [24998] 100.38426 100.18982 100.16486 100.12492 100.01500 100.09995 100.36434 #>  [25005]  99.43339  99.65942 100.15488  99.59920  99.96499  99.66945  99.52387 #>  [25012]  99.60924 100.20479  99.66444 100.12492 100.47885 100.52860 100.04499 #>  [25019]  99.69453 100.45397 100.26465 100.26465 100.18982 100.12992  99.80982 #>  [25026] 100.17485  99.86992  99.78978 100.22475  99.79479 100.32946 100.18483 #>  [25033] 100.05998 100.18982  99.69453  99.56405  99.69453 100.10994  99.95499 #>  [25040] 100.21477  99.88994  99.95499 100.46890 100.90590  99.82485 100.11493 #>  [25047] 100.21976  99.90996  99.97000  99.75971  99.74969 100.28958 100.32946 #>  [25054] 100.23971  99.72963  99.97500  99.78978 100.30952 100.04999  99.72963 #>  [25061]  99.67447  99.99500 100.12492 100.31949 100.02000  99.76973 100.02500 #>  [25068] 100.71246 100.05998 100.11993  99.65440 100.00500  99.59418  99.51884 #>  [25075]  99.97500  99.66945 100.56341 100.04999 100.52860  99.66444 100.09995 #>  [25082] 100.12992  99.95999 100.23472 100.33444  99.94498 100.12492 100.43904 #>  [25089] 100.30454  99.38813 100.37430  99.84488 100.45397 100.33444  99.65942 #>  [25096]  99.86992 100.02000 100.40916 100.24470  99.99500 100.70750  99.88994 #>  [25103]  99.73966 100.64790  99.81483 100.44401 100.48881  99.95999  99.80481 #>  [25110] 100.30454 100.01000 100.01500 100.39920 100.04499 100.04999  99.80982 #>  [25117]  99.95499 100.13491  99.81984 100.41912 100.09495  99.73966  99.87993 #>  [25124]  99.98500  99.84989  99.53391 100.32447 100.21976 100.00500 100.10994 #>  [25131] 100.27462 100.22974 100.38426 100.25966  99.66444 100.30454 100.24969 #>  [25138] 100.04499 100.02500  99.70958  99.67447 100.17485  99.68952 100.00000 #>  [25145]  99.71459 100.35935  99.90996 100.15987  99.82986  99.95499 100.27462 #>  [25152]  99.88493 100.45397  99.96499 100.17485  99.81483  99.96499 100.06998 #>  [25159]  99.90996  99.99500 100.12492 100.12992  99.82485 100.12992  99.65942 #>  [25166] 100.32447  99.89995  99.42837  99.86491  99.78978  99.84488  99.88493 #>  [25173]  99.87993 100.03499  99.85489 100.00500  99.93998  99.90495 100.09995 #>  [25180] 100.02500 100.01500 100.25966 100.09995  99.99000  99.52387 100.24470 #>  [25187]  99.92998 100.12492  99.56907 100.25468  99.85489 100.02000  99.91997 #>  [25194]  99.56907 100.18982 100.00000  99.78477 100.23971  99.77976 100.17984 #>  [25201] 100.03999 100.18982  99.98000 100.08496  99.98000 100.42410 100.40916 #>  [25208]  99.74969 100.03999 100.21477 100.33942  99.86992 100.06998  99.98000 #>  [25215] 100.38924  99.62931  99.84488  99.95499 100.28958  99.67949  99.53391 #>  [25222] 100.27462  99.59920 100.64790  99.86992 100.23971 100.03000  99.62429 #>  [25229] 100.09495  99.62931  99.83486  99.64939  99.20181 100.50373 100.05998 #>  [25236]  99.78477  99.40322 100.03999  99.65942  99.66444  99.68952 100.16486 #>  [25243] 100.06998 100.13491  99.88994 100.12492  99.55401 100.00000  99.86491 #>  [25250] 100.37928 100.07497  99.77475 100.25966  99.49874  99.50879 100.08996 #>  [25257] 100.03499 100.12492  99.70958  99.75470 100.43406  99.77475  99.95499 #>  [25264] 100.74225  99.69955  99.82485 100.16986  99.85489 100.20479 100.29955 #>  [25271]  99.79479 100.37928  99.98000 100.04999 100.35437 100.03499  99.89995 #>  [25278]  99.54898  99.64939  99.63433  99.89995 100.06498 100.32946 100.04499 #>  [25285] 100.15987  99.64437 100.15488 100.37430 100.22974 100.11493 100.31451 #>  [25292]  99.70456 100.00500  99.91496  99.59920 100.40916 100.05498 100.10494 #>  [25299]  99.93998 100.27961  99.58414 100.22475 100.23971 100.09995 100.04499 #>  [25306]  99.75971 100.00000 100.07497 100.05498 100.34441  99.89494 100.48383 #>  [25313] 100.32447 100.02000  99.30257  99.64939  99.70456  99.82986  99.89494 #>  [25320] 100.01500 100.46890 100.19980  99.72462  99.74467 100.12992  99.75971 #>  [25327] 100.02000  99.41831  99.72963  99.99000  99.63935 100.30952 100.13491 #>  [25334]  99.44848  99.83486  99.87492  99.60422  99.93498 100.11993  99.92998 #>  [25341]  99.92998  99.85990  99.82986 100.13990 100.16986 100.23472 100.11493 #>  [25348]  99.81483 100.20479 100.16986  99.94999  99.95999  99.65440 100.13491 #>  [25355] 100.27462  99.80481 100.08496 100.14490 100.45895  99.55903 100.35437 #>  [25362]  99.88493 100.37928 100.52860  99.95999  99.67447 100.14989 100.23971 #>  [25369] 100.03499 100.18982  99.69453  99.85990  99.88493  99.72462  99.62931 #>  [25376] 100.59324  99.92497 100.09995 100.00500 100.17984 100.00000  99.87492 #>  [25383]  99.81984 100.08996 100.32447 100.01000  99.67949 100.02000 100.21477 #>  [25390] 100.20978  99.83486 100.34939 100.03999 100.00000  99.82986 100.41414 #>  [25397] 100.02500  99.67949 100.25468  99.76472 100.26964  99.49874  99.94498 #>  [25404] 100.49378  99.89494  99.98000 100.08996  99.86992 100.33942  99.95499 #>  [25411]  99.66444  99.97000 100.22475 100.37430 100.59324  99.89494 100.04999 #>  [25418]  99.71961 100.15488 100.44401  99.68952 100.14989  99.76472 100.14989 #>  [25425]  99.99000  99.74467  99.99500  99.60422 100.33942  99.78477  99.81984 #>  [25432]  99.91496 100.40418 100.22974  99.67447  99.95499 100.25966 100.29457 #>  [25439]  99.61426  99.73966  99.73966 100.08496 100.60815 100.13491 100.03999 #>  [25446]  99.93998 100.07997 100.04499 100.18483  99.77475  99.71961  99.78978 #>  [25453]  99.50377 100.39422 100.08996  99.89995 100.32946  99.95999 100.54352 #>  [25460] 100.28460 100.40916 100.36434 100.07997 100.43406 100.22475  99.76472 #>  [25467]  99.81483 100.66280 100.00000 100.11993  99.91997  99.87492 100.31949 #>  [25474] 100.08996 100.75217 100.33444 100.20978  99.59920 100.71743 100.08496 #>  [25481]  99.92998 100.38924 100.32447  99.64939 100.42908 100.24470  99.68450 #>  [25488]  99.94999  99.85990 100.56838  99.46356  99.89995 100.01000  99.97000 #>  [25495] 100.67274  99.88493 100.34441 100.04999 100.09995 100.12992 100.35437 #>  [25502]  99.92998 100.13990 100.24969 100.51368 100.40916 100.43406 100.00500 #>  [25509] 100.04499 100.44899  99.72462  99.82485 100.72239 100.42908 100.21976 #>  [25516]  99.63433  99.75971  99.75971 100.10494 100.42410 100.15488 100.46890 #>  [25523] 100.01000 100.08996  99.66444 100.19980 100.04499 100.25468  99.90996 #>  [25530]  99.68952  99.90495 100.65287  99.67949 100.21477 100.26964  99.39316 #>  [25537] 100.12992  99.76973 100.29955 100.14490  99.79479  99.38813  99.49874 #>  [25544]  99.61928  99.74969  99.76472 100.19481  99.69955  99.84989  99.68952 #>  [25551]  99.47864  99.60422  99.80982 100.37928 100.10994 100.04499  99.88994 #>  [25558] 100.50373 100.07497 100.52363 100.30952  99.76973  99.65942  99.68450 #>  [25565]  99.51382  99.61928  99.91496  99.34284 100.14989  99.84989  99.89995 #>  [25572]  99.95499 100.25966 100.02000  99.78477 100.03499 100.47388  99.54396 #>  [25579] 100.50373 100.03499 100.25966 100.06998  99.78978  99.88994  99.70456 #>  [25586] 100.13990 100.44899 100.53855  99.83987 100.44899  99.59418 100.18982 #>  [25593] 100.58330  99.25724  99.43842  99.83987  99.78477 100.27462 100.35437 #>  [25600] 100.02500 100.25468  99.51884 100.24969 100.55844 100.40916  99.74969 #>  [25607]  99.36800 100.42410 100.33444  99.94498 100.35437 100.57833  99.93998 #>  [25614]  99.43339  99.97000  99.73966  99.92497 100.16986 100.08496  99.60422 #>  [25621] 100.03499 100.29955  99.89995  99.99500  99.85489  99.66945  99.82986 #>  [25628]  99.58414 100.00000  99.84989  99.78978 100.25966  99.99500  99.82986 #>  [25635] 100.08996 100.32946 100.36932  99.93998  99.79980  99.90996 100.25966 #>  [25642] 100.13990  99.96499 100.04499  99.81984  99.98000  99.75470 100.14989 #>  [25649]  99.98500  99.81483  99.70958 100.32447  99.82986  99.92998  99.90996 #>  [25656] 100.19980  99.71961  99.93998  99.53894 100.10994  99.93498  99.99500 #>  [25663]  99.70456 100.28958 100.53855 100.05498 100.35437  99.87993 100.45397 #>  [25670] 100.00500 100.32946  99.67949  99.88994  99.65440  99.51382 100.43904 #>  [25677]  99.76472  99.42334  99.78477  99.93498 100.33942 100.13990  99.63935 #>  [25684] 100.20978  99.95499  99.85990 100.13491 100.25468  99.74969  99.63935 #>  [25691]  99.69453 100.38924  99.68952  99.50879 100.21976  99.99500  99.88493 #>  [25698]  99.70958  99.54396 100.49876  99.84989 100.49876 100.04999 100.67274 #>  [25705] 100.50373  99.77475  99.44345 100.06498 100.14490  99.63935 100.16986 #>  [25712] 100.11493 100.09495 100.00000  99.94498  99.74969  99.74969  99.76472 #>  [25719] 100.20479  99.66444  99.78477 100.22974 100.29955  99.71459  99.77976 #>  [25726]  99.88994 100.32946 100.27961 100.43406  99.62429 100.62306 100.29457 #>  [25733]  99.34284 100.42908 100.02000 100.14989 100.16486  99.75971  99.80982 #>  [25740]  99.74467 100.04499 100.11993  99.77475  99.82485 100.05998 100.05998 #>  [25747]  99.73465  99.98500 100.38924  99.61928  99.95499  99.90495  99.78477 #>  [25754]  99.68952 100.37928 100.20978 100.18483 100.14490 100.39920 100.43904 #>  [25761] 100.09995 100.02000 100.00500 100.37430 100.10494 100.42410 100.06498 #>  [25768] 100.04999 100.07497  99.76973  99.97000 100.07997  99.96499 100.01000 #>  [25775] 100.07497 100.11993 100.23971  99.31767  99.86992 100.38924 100.20978 #>  [25782] 100.10494  99.57911 100.20978 100.01500  99.95999 100.55347  99.37807 #>  [25789] 100.06998  99.67949 100.40916  99.83987 100.28958 100.31949  99.95999 #>  [25796]  99.72963  99.94999 100.29457  99.66945  99.90495  99.65440  99.94498 #>  [25803]  99.95999 100.00500 100.01000  99.75470  99.87492  99.70958  99.70456 #>  [25810]  99.75971  99.94498 100.30952  99.76973 100.01000 100.00500 100.04999 #>  [25817]  99.88994  99.67949 100.01500 100.13990 100.28460  99.93498  99.93998 #>  [25824]  99.78978  99.72963 100.09995  99.67447 100.46392  99.68952  99.99000 #>  [25831] 100.43406 100.10994 100.08496 100.34939 100.46890 100.23472 100.59821 #>  [25838]  99.94999 100.02000 100.09995  99.99500 100.12992 100.34441  99.75971 #>  [25845] 100.14989  99.55401 100.05998 100.26465  99.80982 100.01500  99.86992 #>  [25852]  99.44848  99.95999  99.75971  99.80982 100.20479  99.71459  99.65440 #>  [25859] 100.11993 100.00500 100.21477  99.97500  99.73966 100.50871 100.02000 #>  [25866] 100.16986 100.58330  99.68952  99.80982  99.94498  99.57409  99.75971 #>  [25873] 100.13491 100.29955  99.63433  99.62931 100.30454  99.92497  99.86992 #>  [25880] 100.06498 100.29955  99.72963 100.30454 100.29955 100.43406  99.47864 #>  [25887]  99.61426  99.78978  99.58916 100.20978 100.37928 100.27961  99.78978 #>  [25894]  99.56907 100.44401  99.90996  99.36297  99.84989 100.05998 100.23472 #>  [25901]  99.85990 100.10494 100.09495  99.78477  99.89995 100.23472 100.15488 #>  [25908] 100.34441 100.20479 100.30454 100.16986 100.33444  99.94999 100.30454 #>  [25915] 100.11493 100.13491  99.79980  99.70456 100.00500  99.44345  99.60924 #>  [25922]  99.34787  99.86491 100.00000 100.10994 100.03499  99.78477  99.78477 #>  [25929]  99.54898 100.46890 100.07997  99.61426 100.06498  99.81984 100.17984 #>  [25936]  99.92998  99.80982  99.93498  99.62931 100.26465  99.93998  99.67447 #>  [25943] 100.09995  99.94498 100.06998 100.12992 100.30454  99.68952 100.07497 #>  [25950] 100.05998  99.59418 100.37430  99.81483  99.41831 100.36434 100.20479 #>  [25957]  99.39819  99.62429 100.13491  99.86992 100.32946  99.53391 100.04999 #>  [25964]  99.97500  99.96499 100.10494 100.43406  99.74467 100.10494 100.09495 #>  [25971] 100.09495 100.02500 100.14490 100.03499 100.53855 100.15987 100.55844 #>  [25978]  99.85489  99.59418 100.46890  99.77976  99.74969  99.54898  99.66945 #>  [25985]  99.67447 100.39920 100.07997 100.00000  99.53894 100.44401 100.14490 #>  [25992] 100.50871 100.24470  99.92497 100.06998  99.97500  99.59418  99.47361 #>  [25999] 100.18483  99.94498  99.89995 100.46392  99.79479  99.58916 100.27961 #>  [26006] 100.41912  99.73966  99.75470 100.13491 100.18483 100.03499  99.69955 #>  [26013] 100.02000 100.43406 100.78690  99.79479  99.88994 100.44401 100.03999 #>  [26020] 100.11493 100.76210  99.83486 100.32946 100.33942  99.90996  99.88493 #>  [26027]  99.74969 100.37928 100.15987  99.79980  99.83486  99.74467  99.74969 #>  [26034]  99.69955 100.24470  99.40322  99.82485  99.65942 100.09495  99.90996 #>  [26041] 100.24470 100.24969  99.79479 100.07497 100.16486  99.85990  99.60924 #>  [26048] 100.03000 100.13491  99.59418  99.75971 100.14490 100.49378 100.02500 #>  [26055] 100.09495  99.90996  99.61426  99.47361 100.36932  99.93998 100.16486 #>  [26062]  99.98500 100.14490 100.37928 100.10994 100.54850  99.81984 100.40418 #>  [26069] 100.26465  99.75971 100.19980  99.96499  99.44345 100.33444  99.96499 #>  [26076]  99.78978  99.80481 100.05498 100.06498 100.09995 100.03000  99.93998 #>  [26083] 100.48383 100.18483 100.19980 100.14490  99.52387  99.98500 100.27961 #>  [26090]  99.96499 100.18483  99.82986 100.04499  99.92998  99.50377 100.23472 #>  [26097]  99.83486 100.30454  99.95999  99.80481  99.70456 100.07997 100.00500 #>  [26104]  99.70958  99.67447 100.05498  99.87993  99.99000 100.14989 100.12992 #>  [26111] 100.22475 100.01000  99.82485 100.22974 100.04999 100.04999  99.91496 #>  [26118]  99.80481 100.32946  99.83987  99.78477  99.95499  99.80481  99.44345 #>  [26125]  99.99500  99.94498 100.04499  99.50879 100.39422  99.94498 100.33942 #>  [26132]  99.69955  99.97000  99.60422  99.90495  99.77976  99.92497 100.02500 #>  [26139]  99.98500  99.82485 100.19980 100.06998 100.22475  99.85489 100.16986 #>  [26146]  99.86992  99.55903  99.96499 100.11993  99.88493  99.94999 100.09995 #>  [26153]  99.58414  99.84989 100.19980 100.11993  99.58414 100.30454 100.15488 #>  [26160] 100.19481  99.90495 100.20978 100.30952  99.58916  99.85990  99.71459 #>  [26167]  99.66945  99.92497 100.01500 100.24470  99.99500  99.99000  99.68450 #>  [26174] 100.06498 100.37430 100.59324 100.31451 100.38426  99.82485  99.90495 #>  [26181] 100.18483  99.68450  99.54396 100.03999  99.91496 100.36932 100.38924 #>  [26188]  99.64437  99.54396 100.08496 100.17485 100.06498 100.35437 100.41912 #>  [26195]  99.88493  99.68450  99.95499  99.92998  99.21189 100.08496 100.45397 #>  [26202] 100.06498  99.90495 100.04999  99.90495 100.48881 100.26465 100.45397 #>  [26209] 100.45397 100.20479  99.63935  99.42334  99.83987 100.01500 100.20479 #>  [26216] 100.30454 100.09495 100.46392  99.47864  99.98500  99.88493 100.35935 #>  [26223]  99.93998 100.12492  99.52387  99.77475 100.50373  99.99000 100.23971 #>  [26230]  99.87993 100.67274  99.48367 100.23472 100.40418  99.57911 100.09995 #>  [26237]  99.87993 100.40916  99.67949 100.28460  99.75971  99.77475  99.68952 #>  [26244] 100.10994  99.54898 100.09995  99.75470  99.68450 100.20479 100.35935 #>  [26251]  99.64939 100.28958 100.38426 100.04499  99.76472  99.91496 100.32946 #>  [26258] 100.04499  99.83486  99.90996 100.42410  99.43339  99.62931 100.50871 #>  [26265] 100.08496 100.34939  99.92998  99.57409  99.44848  99.78477 100.27462 #>  [26272]  99.43842 100.17984 100.27961 100.08996 100.07997  99.60924 100.06998 #>  [26279]  99.98500  99.92998  99.93498 100.10494  99.87993  99.54898 100.02500 #>  [26286]  99.87492 100.08496 100.38924  99.84488 100.00000  99.93998  99.52387 #>  [26293]  99.88493  99.74467  99.95499 100.01000  99.80982  99.81483  99.95999 #>  [26300]  99.93498 100.00000 100.19481  99.42334 100.22974  99.63935  99.38310 #>  [26307]  99.76472 100.22475  99.87993 100.09995  99.36800  99.66444 100.07997 #>  [26314] 100.08996  99.80481  99.77976 100.04999  99.88994 100.55347 100.51865 #>  [26321]  99.58414  99.73966 100.08496  99.44345  99.59418 100.07497  99.98500 #>  [26328]  99.78477  99.66945  99.84989  99.57911 100.02500  99.99000  99.58414 #>  [26335] 100.48881  99.93498 100.14989  99.52387 100.37430 100.08996 100.25468 #>  [26342] 100.16986  99.93498 100.28958 100.25468  99.70456  99.86491 100.20978 #>  [26349] 100.16986  99.86491  99.98500  99.98000  99.70958 100.25468 100.51368 #>  [26356]  99.54396  99.64939 100.27961  99.63433 100.29955 100.10494  99.63433 #>  [26363] 100.09495  99.94999  99.60422  99.96499 100.29457 100.20479  99.42837 #>  [26370] 100.30454 100.42410 100.46392  99.51382 100.45397 100.00000  99.78978 #>  [26377]  99.98500 100.54352 100.01500 100.42908 100.11493 100.17485 100.36434 #>  [26384]  99.41831 100.13491  99.94498  99.71961  99.78978 100.20978  99.99500 #>  [26391] 100.06498 100.26465 100.43904  99.93998  99.90996  99.92998 100.40916 #>  [26398]  99.64437  99.86992 100.02000 100.10494 100.34441  99.70958 100.14490 #>  [26405] 100.00000  99.61426  99.98000 100.48383  99.44345  99.94498 100.21976 #>  [26412] 100.08996  99.86491  99.76472  99.99500  99.72963  99.68952  99.52889 #>  [26419] 100.17485 100.03499  99.49874  99.94999  99.74467 100.00000 100.08496 #>  [26426] 100.26964  99.72963 100.31949 100.08496  99.63433  99.52387 100.33942 #>  [26433] 100.32447 100.06498  99.64437  99.95999 100.00500  99.90996 100.26465 #>  [26440]  99.78477  99.95999  99.48869  99.75470 100.57833  99.75470  99.81483 #>  [26447] 100.37928  99.90996  99.97000  99.99500  99.88994  99.98500 100.02000 #>  [26454] 100.38426 100.15987 100.30952  99.73966 100.29955 100.20479 100.48881 #>  [26461]  99.84488 100.37928  99.91997  99.87993  99.93998 100.20978  99.55903 #>  [26468]  99.65440  99.74969 100.06498 100.25966  99.97000  99.69453 100.40916 #>  [26475]  99.70958 100.34441 100.25468 100.11493 100.17485 100.17984  99.89995 #>  [26482] 100.00000  99.92497  99.50879 100.01000  99.97500  99.99500 100.25468 #>  [26489]  99.88493 100.02000  99.74467  99.90996  99.49372  99.67447 100.27961 #>  [26496]  99.97500 100.01000 100.09495  99.77976  99.90996 100.00500 100.08496 #>  [26503]  99.90495  99.86992  99.99000  99.73966 100.05998 100.42908 100.35935 #>  [26510] 100.07497  99.98500  99.96499 100.02500 100.02500  99.90495  99.57911 #>  [26517] 100.51368 100.49876 100.21976  99.69955  99.63935 100.09495  99.77976 #>  [26524]  99.75470 100.11493  99.70958 100.14989 100.52363 100.28958 100.84642 #>  [26531] 100.67274 100.05498 100.11993 100.03999  99.91496 100.32447 100.68267 #>  [26538]  99.62429  99.87993 100.70253  99.67949  99.83486  99.81483  99.89995 #>  [26545] 100.07997  99.99500 100.14490  99.90996  99.54898 100.23971 100.02000 #>  [26552] 100.10994 100.24969  99.86491 100.30952 100.26465 100.42410  99.58414 #>  [26559]  99.86992 100.23472  99.94498 100.49876  99.79479 100.03499 100.31949 #>  [26566] 100.33444  99.59920 100.21477  99.90495 100.23971  99.76973 100.08996 #>  [26573] 100.24470  99.90495  99.94498 100.08496 100.05498 100.25468  99.76472 #>  [26580]  99.92497 100.35935  99.61426 100.55844  99.89995 100.60815  99.97000 #>  [26587] 100.19980  99.52387 100.23971  99.74467 100.12492 100.22974  99.84488 #>  [26594]  99.71961 100.27462 100.39920  99.96499 100.07497 100.10994  99.75470 #>  [26601] 100.33942  99.93998  99.93998  99.69453  99.81483  99.90996 100.04999 #>  [26608]  99.80982  99.91997 100.59821 100.46890  99.36800 100.61312 100.63300 #>  [26615]  99.91496 100.20479  99.78978 100.37928 100.10494 100.15488  99.80982 #>  [26622] 100.32447  99.83987 100.08496 100.50373  99.59418 100.19481 100.07997 #>  [26629] 100.17984  99.90996  99.61928 100.22475  99.68450  99.94999 100.16486 #>  [26636] 100.42410 100.61809 100.53358  99.78477 100.30952  99.68450 100.14989 #>  [26643] 100.05998  99.82485 100.00500  99.67949  99.81984 100.14490 100.15987 #>  [26650] 100.33444 100.14989 100.06998  99.85990  99.49874 100.17984  99.47864 #>  [26657] 100.03999  99.67447 100.03499 100.28958  99.73465 100.00500 100.21976 #>  [26664] 100.18982  99.68952  99.98000  99.88994 100.27462 100.19980  99.81483 #>  [26671] 100.13491  99.93498  99.71961 100.11993 100.57833  99.71961  99.98500 #>  [26678] 100.04499 100.08496  99.72462  99.71459  99.72462  99.94498 100.11493 #>  [26685] 100.02500 100.09995  99.83486 100.11493  99.82986 100.61312 100.01000 #>  [26692] 100.07997  99.38813 100.24470  99.64437  99.95999 100.24969  99.78477 #>  [26699] 100.00500 100.34939 100.10494 100.26964 100.37928  99.78477 100.45895 #>  [26706]  99.90996 100.05998  99.92497  99.41328  99.78978  99.74467 100.01500 #>  [26713]  99.45853  99.88994  99.95999 100.25468 100.12992  99.40322  99.57409 #>  [26720]  99.77976  99.64437 100.82658  99.96499  99.92497 100.11493  99.68450 #>  [26727] 100.30454 100.27961 100.23971 100.17984 100.68764 100.21976 100.16986 #>  [26734] 100.19980  99.70958 100.52860 100.52363 100.17485  99.94999  99.81984 #>  [26741]  99.63935  99.93998 100.45895 100.52363 100.10494  99.77475 100.13491 #>  [26748]  99.71459 100.21976  99.56907 100.07497  99.72462  99.99500  99.82986 #>  [26755]  99.39819  99.92998 100.30454  99.89995 100.24470 100.14490  99.54898 #>  [26762]  99.87993  99.98500 100.03999 100.02000 100.34939 100.41912 100.08496 #>  [26769]  99.19677  99.63935  99.58414  99.89995  99.96499 100.19980  99.83486 #>  [26776]  99.83987 100.26465  99.49372  99.97000 100.45895  99.91496  99.57409 #>  [26783] 100.21477 100.10994  99.34284 100.47885 100.13491 100.17485  99.43339 #>  [26790] 100.40418  99.70958 100.03000 100.10494  99.86491 100.03499 100.00000 #>  [26797]  99.73966  99.81984 100.08496 100.38924 100.62306 100.48881 100.00500 #>  [26804]  99.51382 100.40916  99.48367  99.90495 100.19481  99.79479  99.88994 #>  [26811]  99.67447 100.17984  99.90495 100.33942 100.40418 100.02500  99.48367 #>  [26818]  99.97000 100.21976 100.11493 100.28958 100.03999 100.36932 100.19481 #>  [26825]  99.34284 100.05998 100.05498 100.24470 100.40418 100.05498 100.04499 #>  [26832] 100.07497 100.07997  99.88493 100.31949  99.61426 100.55347 100.37928 #>  [26839]  99.23205 100.18982 100.09995 100.37430  99.96499 100.34441 100.00000 #>  [26846] 100.00500 100.20479  99.39819  99.88493 100.52860  99.60422 100.27462 #>  [26853] 100.03499 100.33444  99.95499  99.63935 100.09495  99.86992  99.29753 #>  [26860]  99.71961  99.97000 100.22475  99.71459 100.17485  99.91496 100.06998 #>  [26867]  99.92998 100.11993  99.64939  99.58414 100.00000 100.04499 100.35437 #>  [26874]  99.78477 100.02500 100.37430  99.66444 100.22974  99.85990 100.14490 #>  [26881]  99.85489 100.40916 100.12992 100.02000 100.05998 100.32946  99.78477 #>  [26888] 100.21976  99.91997 100.19980  99.39316  99.68450 100.03999 100.23472 #>  [26895] 100.26964  99.93998 100.38924 100.49378 100.39422 100.03000  99.82986 #>  [26902] 100.09995 100.12492  99.58916 100.05998 100.16486 100.21976  99.43339 #>  [26909] 100.31949  99.17661 100.30952 100.10494  99.67949 100.11993  99.80982 #>  [26916] 100.11493 100.03000  99.60422  99.60924  99.67447  99.88493 100.67770 #>  [26923] 100.53358  99.93498  99.84989 100.28958 100.11993 100.01500 100.21976 #>  [26930] 100.04999  99.45853 100.27961 100.04999  99.94498  99.89494  99.79980 #>  [26937] 100.13491 100.34939 100.04999  99.85990  99.57911 100.24969 100.24470 #>  [26944]  99.98500  99.77976  99.73465 100.04499  99.84989 100.09995 100.03000 #>  [26951]  99.53894  99.89995 100.01500 100.13491  99.92998  99.71459  99.54898 #>  [26958]  99.97500 100.25966 100.02000 100.59821  99.88493 100.08496 100.37928 #>  [26965] 100.39920  99.68450 100.23472 100.52363 100.06998 100.02500 100.33444 #>  [26972]  99.71961  99.89494  99.62931  99.85489  99.45853 100.22974 100.04499 #>  [26979]  99.92998  99.91997 100.20479 100.35437 100.12992 100.37430 100.23971 #>  [26986]  99.86992 100.03499 100.05498 100.20479  99.83987 100.08996 100.43904 #>  [26993]  99.57409 100.26465  99.93498 100.38426 100.41414  99.51382 100.08996 #>  [27000] 100.02500  99.79980 100.05998 100.03000  99.94498 100.44401  99.94999 #>  [27007]  99.79980  99.57409 100.27961 100.51865  99.84989  99.62429 100.23472 #>  [27014] 100.02000 100.05498 100.10494 100.38426  99.96499  99.90495  99.50377 #>  [27021]  99.68450  99.89494 100.08496  99.95999  99.99500  99.49874  99.98500 #>  [27028]  99.79980 100.10494  99.64437  99.80481 100.34441 100.02500 100.39920 #>  [27035] 100.14989  99.90495  99.80481 100.50373 100.12492 100.16486 100.07997 #>  [27042] 100.16486  99.80982 100.63797  99.88994  99.57409  99.29250  99.80982 #>  [27049] 100.48881 100.57833 100.10994 100.06998  99.98500 100.56341 100.17485 #>  [27056] 100.21976 100.37928  99.85489 100.35935 100.33942 100.05998 100.01000 #>  [27063]  99.89995 100.37430 100.33942  99.59920  99.61928 100.41912 100.38924 #>  [27070] 100.09995  99.33781  99.36800 100.38924 100.08996 100.07997  99.27739 #>  [27077]  99.75470  99.87993 100.03499  99.92497 100.36434 100.15488 100.55844 #>  [27084] 100.43904 100.35437 100.48383  99.81483  99.57911  99.82986  99.90996 #>  [27091]  99.95499 100.04499  99.90495 100.15987  99.76472 100.59821 100.17984 #>  [27098] 100.38426 100.45895  99.92998  99.72462  99.72462 100.12992 100.51865 #>  [27105] 100.21976 100.03999 100.08996  99.74969 100.69757  99.68952  99.68450 #>  [27112] 100.35935  99.53894 100.16986  99.96499  99.89995  99.38310 100.01000 #>  [27119]  99.75470  99.48367 100.14490  99.86491 100.26964  99.97000  99.70958 #>  [27126] 100.08496 100.03000  99.67949  99.95499 100.26964  99.71961 100.04999 #>  [27133]  99.68450 100.00000 100.16486 100.06498 100.00000  99.75470 100.30454 #>  [27140] 100.18982 100.12492  99.82986  99.86992  99.87492 100.10494 100.18483 #>  [27147] 100.21477  99.62931 100.08996  99.85990  99.75470  99.54898  99.80982 #>  [27154] 100.20479  99.24717  99.67949  99.92497  99.85990 100.03999  99.44345 #>  [27161] 100.06998 100.30952 100.55347 100.19980 100.10994  99.50377 100.08996 #>  [27168]  99.91997  99.67949  99.72963  99.84488  99.95499  99.98500  99.71961 #>  [27175]  99.73966  99.99000 100.02000 100.10994  99.73966  99.83987  99.82986 #>  [27182] 100.58827  99.90996 100.21477  99.82485 100.16986  99.95999 100.20479 #>  [27189]  99.85990  99.94999 100.26465 100.01500  99.81483 100.28958  99.71459 #>  [27196]  99.68952 100.19980  99.83987  99.82485 100.11993 100.00000  99.58414 #>  [27203]  99.93998 100.64293  99.41831 100.30454 100.03999 100.08996  99.66444 #>  [27210]  99.66945  99.57911  99.99000 100.31451 100.22475  99.94999 100.35935 #>  [27217]  99.76973  99.85489 100.07497 100.35935  99.63935 100.26465 100.65784 #>  [27224] 100.39920  99.86491 100.20479  99.73966 100.37928  99.91997 100.38426 #>  [27231]  99.64437  99.78978  99.71459  99.47864  99.96499 100.01000 100.09995 #>  [27238] 100.39920  99.76472 100.35935  99.50879  99.35794  99.94498 100.30454 #>  [27245]  99.98000  99.61928  99.70456  99.98500  99.77976  99.90996 100.18982 #>  [27252] 100.04499  99.80481 100.18483  99.91997 100.40916 100.28460  99.67447 #>  [27259]  99.66444  99.79479 100.00000 100.20978  99.99500  99.81483 100.38426 #>  [27266] 100.36434  99.98000  99.38813  99.47864  99.60422  99.80982  99.71961 #>  [27273]  99.79980  99.68952  99.94999 100.56838 100.48383  99.87993  99.70958 #>  [27280] 100.09495 100.20978 100.81667  99.92497 100.08496 100.08996 100.02500 #>  [27287]  99.72462  99.89494 100.42410 100.22974  99.72963  99.56907 100.30454 #>  [27294] 100.34939 100.64293 100.21976 100.28958 100.40418 100.02000  99.79980 #>  [27301]  99.84488  99.76472  99.99500  99.66945  99.76973  99.49874 100.20479 #>  [27308] 100.04499 100.26465  99.44345  99.79980 100.02000 100.41414 100.05998 #>  [27315] 100.35935  99.59920  99.95499  99.93998 100.18982  99.83987  99.63433 #>  [27322]  99.93498  99.69955 100.02500  99.60422 100.27462 100.50373  99.80982 #>  [27329]  99.63433 100.04999  99.72963 100.16486 100.43904  99.98000  99.60924 #>  [27336]  99.99000  99.78477  99.71961 100.20978 100.13990 100.33942 100.01500 #>  [27343] 100.32447  99.33781 100.03999 100.21976  99.65942  99.53894 100.26964 #>  [27350] 100.73728 100.28460  99.65440  99.97500 100.21477 100.11493 100.26465 #>  [27357] 100.03499  99.69955  99.89494 100.31949  99.84488  99.88994 100.50871 #>  [27364]  99.93498  99.74467 100.32447  99.47361  99.76472  99.77976 100.26465 #>  [27371] 100.09495 100.07997 100.19481 100.15488  99.87492 100.19481 100.13491 #>  [27378]  99.94498  99.98000 100.49378 100.03499 100.19980 100.03499 100.18483 #>  [27385]  99.31264 100.04999 100.04999 100.17984  99.49372 100.44899 100.06998 #>  [27392] 100.39422 100.04499 100.36932 100.37430  99.62429 100.10494 100.29457 #>  [27399] 100.23971  99.58414 100.16986 100.10494 100.42410  99.65942  99.62429 #>  [27406]  99.68450  99.88493  99.61928  99.55903 100.06998  99.73465  99.43339 #>  [27413] 100.09995 100.12992  99.50879 100.18483  99.73966 100.32447 100.07997 #>  [27420] 100.39422 100.31949 100.01000 100.02000 100.02000  99.62429 100.24470 #>  [27427] 100.43904  99.84989  99.90495 100.61312 100.15987 100.16986 100.39920 #>  [27434]  99.81984 100.05498  99.96499  99.94498 100.30952 100.18982  99.62931 #>  [27441]  99.97500  99.74969  99.93498 100.06998 100.30952 100.05998  99.65440 #>  [27448]  99.50377  99.67949 100.08496  99.91997  99.68952  99.84488 100.13990 #>  [27455] 100.12992  99.84488  99.62931 100.39422 100.43406  99.68952  99.86491 #>  [27462]  99.98000 100.32447 100.08496 100.53358 100.40916  99.52889 100.03999 #>  [27469]  99.61928 100.35935  99.92998  99.77976 100.06998  99.97500  99.98500 #>  [27476]  99.70958 100.06498  99.54898  99.97500 100.33942  99.90996 100.07497 #>  [27483]  99.29250  99.76472  99.58414 100.03499 100.01500 100.12992 100.39422 #>  [27490]  99.86491 100.14490  99.42837 100.38426  99.83486  99.88994 100.26964 #>  [27497] 100.20479 100.16486  99.61928  99.87492  99.88493 100.10994  99.06059 #>  [27504]  99.62429 100.20978 100.34939  99.91997 100.03499 100.11993 100.33444 #>  [27511] 100.37430  99.70456 100.80675  99.60924  99.88493  99.84488 100.14989 #>  [27518] 100.00000 100.10994  99.64437 100.30454  99.79980 100.20479 100.49378 #>  [27525]  99.80481  99.57911 100.20978 100.13990  99.95499 100.04999  99.93998 #>  [27532] 100.18483  99.68952 100.04499  99.58916 100.54850 100.63797  99.82986 #>  [27539] 100.34441  99.75470 100.44899 100.16486 100.16986  99.56907  99.73465 #>  [27546]  99.59418 100.04999  99.82485  99.97500 100.14490 100.47885 100.24969 #>  [27553] 100.37430  99.90996 100.14989 100.10994  99.92497  99.73966  99.69955 #>  [27560]  99.68952 100.28958  99.81483 100.37430  99.44345  99.64437  99.94999 #>  [27567] 100.35935 100.08496 100.08496  99.93498 100.33942 100.27462 100.35935 #>  [27574] 100.39422  99.97500  99.42334 100.09495 100.28958  99.74969 100.10994 #>  [27581]  99.91997 100.14989 100.53855  99.47864 100.29457 100.03000 100.20978 #>  [27588] 100.54352 100.08496  99.72462 100.27462  99.56907  99.88493  99.92497 #>  [27595] 100.11993  99.86491 100.07497  99.71961  99.84488  99.65942  99.85489 #>  [27602]  99.46859 100.00000  99.62931 100.12492 100.10994 100.06998  99.43842 #>  [27609] 100.07497  99.91997  99.50377  99.69453 100.20978  99.90996 100.34939 #>  [27616]  99.95499  99.97000 100.22475 100.31949 100.22475  99.83486 100.11993 #>  [27623] 100.00000  99.69955  99.78978  99.86992  99.98500  99.97500  99.88493 #>  [27630]  99.91496  99.94498 100.34939  99.91997  99.63433  99.93498  99.77475 #>  [27637]  99.75971 100.22475 100.02500  99.90996  99.52387 100.03999  99.90996 #>  [27644] 100.10994 100.10994  99.80982 100.24470 100.37928 100.04499  99.88994 #>  [27651] 100.30454 100.38426 100.07997  99.72462  99.90996  99.98500  99.61426 #>  [27658]  99.76973  99.99000  99.96499  99.70456 100.61312 100.04499  99.89995 #>  [27665]  99.94498 100.08496 100.17984  99.98500 100.33444  99.38813  99.98000 #>  [27672]  99.87993 100.19481  99.59418  99.52387  99.77976 100.08496  99.82986 #>  [27679]  99.86491 100.58827  99.52889 100.22974  99.77475 100.28958 100.18483 #>  [27686]  99.56907 100.05498 100.06998  99.96499 100.62803  99.99500  99.97000 #>  [27693]  99.84989 100.19481 100.21477 100.30454  99.98500  99.48367 100.13491 #>  [27700] 100.08496  99.40825  99.77976  99.81483  99.83987 100.07997 100.06498 #>  [27707]  99.90996 100.07997 100.09495 100.23971 100.27961  99.55903 100.08496 #>  [27714]  99.88994 100.29457  99.73465 100.24969 100.30952 100.15488  99.85990 #>  [27721]  99.88994 100.32946 100.68267  99.64437 100.16486 100.00500  99.63433 #>  [27728] 100.19980 100.01000  99.88994 100.07997  99.93998  99.76472 100.20978 #>  [27735]  99.95499  99.86992  99.78978 100.10494 100.25966  99.86992  99.90996 #>  [27742] 100.08996 100.02000 100.67770 100.17984  99.68450 100.57833 100.13990 #>  [27749]  99.94498 100.21477 100.40916 100.00500 100.44899  99.86992  99.96499 #>  [27756] 100.11993  99.49874  99.99000  99.96499 100.09995 100.01500 100.29955 #>  [27763]  99.54898  99.69453  99.78978  99.93998  99.47864 100.62306 100.02500 #>  [27770] 100.27961  99.51382  99.90996  99.71961  99.40825 100.25966 100.09495 #>  [27777] 100.09995 100.25468  99.54396 100.21976 100.18483 100.22974  99.62931 #>  [27784]  99.64437 100.15987 100.18982 100.00500  99.57409  99.16653  99.63433 #>  [27791]  99.77475 100.01500 100.32946  99.59418 100.00000  99.99500 100.45397 #>  [27798] 100.28958  99.97000 100.34441 100.10994 100.52363  99.88493  99.70958 #>  [27805] 100.12492  99.87492  99.39819 100.65287 100.06498 100.06998 100.66777 #>  [27812]  99.85489  99.86992  99.47864  99.84989  99.93998 100.49378 100.21477 #>  [27819] 100.29955 100.35935  99.37807  99.90495  99.93498 100.17984  99.41831 #>  [27826]  99.52387 100.22475 100.19481 100.49876  99.88994  99.80481  99.92998 #>  [27833] 100.19481 100.21976 100.19980 100.17485 100.13491  99.87993  99.78477 #>  [27840]  99.72462  99.95499 100.25966  99.83486 100.22974  99.88994 100.69757 #>  [27847]  99.94498  99.94498 100.45895 100.55844 100.00500 100.30454  99.55903 #>  [27854] 100.13491 100.07997 100.22475  99.99500  99.70958  99.70958 100.14989 #>  [27861] 100.27961 100.07997  99.49372  99.92497  99.92497 100.10494  99.66444 #>  [27868] 100.14989 100.22475 100.02000 100.00500 100.00500 100.78690  99.87993 #>  [27875] 100.04999  99.87492  99.69453  99.89995 100.40916 100.16986 100.44401 #>  [27882] 100.52860 100.13491 100.14490  99.65440 100.35437  99.73966 100.33444 #>  [27889]  99.70456 100.17984 100.35437  99.89494 100.19481 100.28958  99.79479 #>  [27896]  99.75971 100.00000 100.03999  99.90495  99.78978 100.06498 100.45895 #>  [27903] 100.35935  99.98500 100.24969  99.93998  99.65440  99.92998  99.72963 #>  [27910]  99.76973 100.29457 100.18483 100.39422  99.85990  99.47361 100.09995 #>  [27917] 100.42908 100.24470 100.21976  99.51884  99.30760 100.62306  99.73465 #>  [27924] 100.43406  99.43339  99.98500 100.40916  99.87492  99.82485 100.28460 #>  [27931]  99.80982 100.08996 100.10494 100.24969  99.65440 100.41414  99.64437 #>  [27938] 100.31451 100.21976 100.39422  99.76472 100.08996 100.38924 100.20479 #>  [27945]  99.50879  99.94999  99.80481 100.20479  99.58414  99.54898 100.34441 #>  [27952]  99.33277 100.14989  99.44345  99.90495  99.84989  99.87492  99.69955 #>  [27959] 100.37430  99.93998  99.77976  99.75470  99.75971  99.59418 100.03999 #>  [27966] 100.28460 100.55347 100.72735 100.20978  99.44848 100.24470  99.95999 #>  [27973]  99.95999 100.11993 100.17485 100.26964  99.77976 100.47885 100.39920 #>  [27980] 100.11493 100.46890  99.56907 100.15488 100.12992  99.74969 100.00500 #>  [27987] 100.03999 100.23971  99.95499 100.03000  99.78477 100.08496 100.10494 #>  [27994] 100.33942 100.07497 100.05498 100.03000 100.06498 100.72735 100.28460 #>  [28001]  99.64939 100.38426  99.71961 100.01500  99.82485  99.78477 100.21976 #>  [28008]  99.93998 100.41912  99.90996 100.11493  99.69453  99.93498  99.68450 #>  [28015]  99.70456  99.87993 100.26964  99.99000  99.43842  99.87492 100.10994 #>  [28022] 100.38924  99.70958  99.92998 100.04499 100.27462 100.44401 100.00000 #>  [28029]  99.91997  99.94999  99.50879 100.06498  99.98500  99.76472 100.34939 #>  [28036]  99.78477  99.80481 100.51865 100.32447  99.78978 100.13491  99.55903 #>  [28043]  99.99500 100.00000 100.00000  99.71459 100.00500  99.89995 100.16486 #>  [28050] 100.06498 100.45397 100.23971  99.72462  99.74969 100.16486  99.37807 #>  [28057]  99.88994 100.16986 100.22974  99.69453  99.59418  99.84989  99.59418 #>  [28064] 100.24969  99.98000  99.77475  99.98500  99.90996  99.94498 100.37928 #>  [28071]  99.71459 100.18982 100.50373 100.20978  99.94498 100.34939  99.98000 #>  [28078]  99.43339 100.06498 100.19481  99.60422 100.13491  99.93998 100.11493 #>  [28085] 100.31949 100.67274 100.07997  99.79980  99.84989 100.03000 100.19481 #>  [28092]  99.68952 100.00000 100.22475  99.29250 100.22974 100.00500 100.38426 #>  [28099]  99.87993 100.09495 100.11993 100.32447 100.11493  99.82986 100.18483 #>  [28106]  99.74969  99.95499  99.84488 100.01500 100.21976  99.99500 100.23472 #>  [28113]  99.99500 100.43904 100.08996 100.09495  99.63433  99.51884 100.17485 #>  [28120] 100.42908 100.59324 100.19980  99.81483 100.45397 100.23971  99.73966 #>  [28127]  99.53391  99.96499  99.58414  99.78477 100.01500 100.22974  99.97500 #>  [28134]  99.81483  99.69453  99.86491 100.19980  99.65942  99.84989  99.86491 #>  [28141]  99.68450  99.99000  99.88493  99.78978 100.00500 100.00500  99.80982 #>  [28148] 100.02500  99.65440 100.10994  99.95999 100.06498  99.95999  99.89995 #>  [28155]  99.65942 100.14989 100.05998  99.76472  99.90996 100.27961  99.27739 #>  [28162]  99.50377  99.74969  99.71459  99.46356  99.56405 100.19481  99.74969 #>  [28169]  99.79479  99.73465  99.90495 100.38924  99.80481  99.58414  99.79980 #>  [28176]  99.86992  99.87993 100.24969 100.55347 100.32447  99.97500 100.20479 #>  [28183]  99.95499  99.99500 100.02500  99.65440 100.28958 100.27961 100.18982 #>  [28190] 100.22475 100.22974 100.05998 100.26465 100.02000 100.58827 100.54850 #>  [28197] 100.48383 100.24470  99.89995 100.37928 100.04499  99.65942  99.98000 #>  [28204] 100.11993 100.08496  99.96499 100.32946  99.69955  99.93498  99.98500 #>  [28211]  99.76973  99.60924  99.65942  99.93998 100.49876 100.06998  99.79980 #>  [28218]  99.84989 100.30454  99.78978  99.90996  99.53391 100.40916  99.45351 #>  [28225]  99.95999 100.04499 100.16986  99.82485 100.08996  99.77976 100.01000 #>  [28232] 100.60815 100.56341  99.67949 100.09495 100.53855 100.13491 100.33942 #>  [28239] 100.08996 100.19980  99.60924  99.69453  99.44848  99.78477 100.35437 #>  [28246]  99.82986 100.23472 100.02500 100.35437 100.06498  99.56405  99.35794 #>  [28253]  99.71961 100.16486 100.00500  99.95999 100.04999  99.40825  99.71459 #>  [28260] 100.00500  99.62931 100.29457 100.14490 100.00500  99.84488 100.11493 #>  [28267]  99.91496 100.21477  99.89494 100.32946 100.06998 100.18982  99.90495 #>  [28274]  99.86992 100.01000 100.29457 100.04499  99.49874 100.50373 100.43904 #>  [28281]  99.80481  99.74467  99.92497  99.72462  99.73465 100.26465  99.90495 #>  [28288]  99.65942 100.47388  99.98000 100.26465  99.73966  99.55401 100.08496 #>  [28295] 100.58827 100.08996  99.98500 100.03000  99.91997 100.19481  99.65942 #>  [28302] 100.00500  99.52889 100.07497 100.02000  99.93998 100.47885 100.20978 #>  [28309] 100.07997  99.91997  99.64939 100.18483 100.56341  99.72963 100.40418 #>  [28316] 100.17485  99.72963  99.71961  99.71459 100.50871 100.23971  99.84989 #>  [28323] 100.17485  99.78477 100.04499  99.76973  99.46356  99.78477 100.36932 #>  [28330]  99.28746  99.74969  99.93498  99.51884  99.78477 100.26465  99.46356 #>  [28337]  99.64437  99.67447 100.25966 100.32447 100.20978 100.04999  99.59418 #>  [28344] 100.03999  99.69955  99.87492  99.76973 100.20978  99.98500  99.59920 #>  [28351]  99.84989  99.69955 100.36434 100.29457 100.10994  99.66945  99.45853 #>  [28358] 100.56341 100.08996  99.92998  99.79980  99.59418  99.44848  99.55903 #>  [28365] 100.19980  99.62931 100.33942 100.30952 100.01500 100.36932  99.72462 #>  [28372] 100.01000  99.86491 100.33942  99.88994  99.72462 100.40418  99.98500 #>  [28379] 100.35437  99.46859 100.38426 100.28460  99.36800  99.79479 100.06998 #>  [28386]  99.96499  99.99500 100.19481  99.84488 100.20479 100.08996  99.91496 #>  [28393]  99.85990  99.70958  99.52889 100.12992  99.81984 100.40418 100.34939 #>  [28400]  99.59418  99.65942  99.85990  99.78477  99.88493 100.53358  99.93498 #>  [28407] 100.04999  99.98500 100.13990 100.00000  99.76973  99.83987 100.38924 #>  [28414] 100.27961  99.97000  99.64437 100.47388 100.03000  99.75971  99.90996 #>  [28421]  99.94999 100.31451 100.18483  99.72963  99.56907  99.54898  99.43842 #>  [28428]  99.88994  99.70456 100.19980 100.61312 100.21477  99.80481 100.36932 #>  [28435]  99.89995 100.14490  99.92998  99.59418  99.73966 100.21477 100.22974 #>  [28442]  99.58414 100.01000  99.70456 100.29457 100.35935  99.80481 100.17984 #>  [28449] 100.28460 100.02000 100.15987 100.16986  99.67949 100.27462 100.23472 #>  [28456]  99.89494  99.86491  99.95999 100.49378 100.08496 100.03999 100.37430 #>  [28463] 100.13990 100.21477 100.13990  99.87492 100.65784 100.09495  99.71961 #>  [28470]  99.92998 100.14989 100.34441 100.18483 100.11993 100.23971  99.75470 #>  [28477] 100.81171  99.81984  99.69453  99.63433 100.22974  99.76973 100.40916 #>  [28484]  99.49372  99.69955 100.06998 100.69757  99.63935  99.99000  99.79980 #>  [28491]  99.80481  99.82485  99.93498  99.86491  99.59418  99.56405  99.66444 #>  [28498]  99.59920 100.30952  99.81984 100.18982  99.86491  99.74969  99.90996 #>  [28505] 100.18982  99.77475 100.11493  99.81984 100.11993 100.16986 100.53358 #>  [28512] 100.06998 100.06498 100.05998 100.28460 100.52860  99.75470  99.90495 #>  [28519]  99.95499 100.33444 100.44899 100.19980 100.46392  99.23709  99.67447 #>  [28526]  99.78978 100.18982 100.14490  99.77475  99.33277  99.94999  99.77475 #>  [28533] 100.08996 100.03000 100.67770 100.71743  99.19677 100.19481  99.98000 #>  [28540]  99.76973 100.00500 100.39422  99.86491 100.09495 100.02500 100.39422 #>  [28547]  99.80982 100.33444 100.34441 100.11493 100.50871  99.97500  99.98500 #>  [28554] 100.44401  99.83987 100.30952  99.75971  99.95999  99.81984 100.11493 #>  [28561]  99.71961  99.66444  99.64939 100.26964 100.13491  99.89494  99.98500 #>  [28568]  99.88994 100.01000 100.41414 100.20978 100.36932 100.33444  99.27739 #>  [28575]  99.37303 100.19481  99.64437  99.60924  99.92998  99.79980 100.02500 #>  [28582]  99.80982  99.98500 100.43904  99.90996  99.71961  99.80982 100.20479 #>  [28589] 100.39422 100.06498  99.86491  99.66444  99.68450 100.05498  99.94498 #>  [28596]  99.69955 100.32946 100.10994 100.36932  99.90996 100.61312  99.95999 #>  [28603]  99.74969 100.02000 100.00500  99.62931  99.73966 100.18483 100.52363 #>  [28610] 100.27462  99.36800 100.11993  99.94498 100.41414  99.65942  99.76472 #>  [28617] 100.05998 100.05998  99.45853  99.74969  99.64939 100.17485 100.28958 #>  [28624] 100.17984  99.84488 100.03000  99.51382 100.04499  99.56405 100.10994 #>  [28631] 100.13990 100.02500 100.35935  99.69453 100.21976 100.24470  99.67949 #>  [28638] 100.40418  99.81984  99.73465 100.04499 100.37928 100.26465 100.38426 #>  [28645]  99.85489  99.99500 100.01000  99.93998  99.92497 100.39920  99.83486 #>  [28652]  99.89494  99.81984 100.45895  99.43842 100.39422  99.75470  99.66444 #>  [28659] 100.21976 100.27462 100.10994 100.27462  99.58916  99.82485 100.36932 #>  [28666]  99.82986 100.36932 100.12492 100.15987 100.24470  99.70958  99.76472 #>  [28673]  99.70456  99.72963 100.00500 100.61809 100.31949 100.08996  99.94999 #>  [28680]  99.77475  99.91997 100.01500  99.88493  99.59920  99.81483  99.66945 #>  [28687]  99.93998 100.20479 100.42410  99.58916  99.90996 100.20978  99.71961 #>  [28694] 100.03000  99.14636  99.68952 100.02000 100.17984 100.70750 100.34441 #>  [28701]  99.56405  99.67447 100.65784 100.24969  99.82485  99.90495 100.40418 #>  [28708] 100.68764 100.43904  99.67949 100.21976  99.62931  99.93998 100.45895 #>  [28715]  99.65942 100.05998 100.00000 100.03499  99.83987 100.12492  99.72462 #>  [28722]  99.85489 100.01500 100.12992 100.06998  99.67949 100.05498 100.44401 #>  [28729] 100.07997 100.18982  99.97500  99.56405 100.08996 100.38426 100.26964 #>  [28736] 100.41912 100.06998  99.49372 100.09495  99.96499  99.95999 100.06498 #>  [28743]  99.98000 100.26964 100.04499 100.30952 100.27462 100.33942  99.45351 #>  [28750]  99.79980 100.13990 100.13491 100.13990 100.22974 100.21976 100.03999 #>  [28757] 100.45895  99.79980 100.00000  99.82485  99.85990  99.73465  99.87993 #>  [28764]  99.66444 100.40418 100.19980 100.00000 100.14989 100.30952  99.94999 #>  [28771]  99.90996 100.16986  99.79980 100.14989 100.11993  99.48869  99.67447 #>  [28778] 100.53358  99.98500  99.76472 100.03499 100.28460  99.98000 100.21976 #>  [28785] 100.37928  99.64437 100.20978 100.12492 100.35935  99.73966  99.99000 #>  [28792] 100.36932  99.99000  99.93998 100.44899 100.29955  99.27739  99.75971 #>  [28799] 100.03000  99.64939  99.90996  99.70456  99.46356 100.33444 100.47388 #>  [28806] 100.33942 100.15488  99.77976  99.89995 100.29955 100.25966 100.29955 #>  [28813] 100.02500 100.03999  99.76973  99.75470  99.72462 100.18982  99.66945 #>  [28820]  99.68952  99.60422  99.65942  99.87492  99.74467 100.04499 100.35437 #>  [28827] 100.03999 100.52363 100.48383  99.94498  99.50377 100.18982 100.53855 #>  [28834]  99.75971 100.04999  99.84488  99.86491 100.07997  99.84488 100.00000 #>  [28841] 100.22475  99.74969 100.22974  99.73966 100.20479  99.01515  99.50879 #>  [28848]  99.59920 100.12992 100.04499  99.82485  99.67949  99.62931 100.26964 #>  [28855]  99.74467  99.71459 100.64293 100.36932  99.67949 100.39920 100.57336 #>  [28862] 100.38924  99.84488 100.28958 100.24470 100.15488  99.51884 100.29457 #>  [28869]  99.41831 100.33942 100.01000 100.21976 100.11993 100.17984 100.36434 #>  [28876]  99.81483 100.18483  99.86992  99.67447 100.35437 100.16986  99.79479 #>  [28883]  99.92998 100.05498 100.02000 100.08496  99.84488 100.13491  99.77976 #>  [28890] 100.11493  99.96499 100.13990  99.94498 100.06998 100.04499 100.40916 #>  [28897] 100.51865  99.82986  99.78477 100.39920  99.62931 100.20978  99.38813 #>  [28904]  99.72462 100.61312 100.21477  99.98500 100.03999  99.69453  99.72963 #>  [28911]  99.53894  99.81984 100.25966 100.14490 100.61312 100.08496 100.20978 #>  [28918] 100.17485 100.26964  99.55401  99.75971  99.75470 100.05998  99.91496 #>  [28925]  99.84989  99.74969  99.89494  99.90495 100.34441 100.51368 100.49876 #>  [28932] 100.34441 100.03999  99.89995  99.85990  99.38310  99.87492  99.95499 #>  [28939] 100.24470  99.95499  99.97500  99.97500  99.79479 100.02000  99.94498 #>  [28946]  99.89995  99.84989 100.16986 100.49378  99.80481 100.36932 100.61312 #>  [28953]  99.81984 100.14490  99.72963 100.34441  99.78477 100.51368 100.04999 #>  [28960] 100.28460 100.05998  99.91997  99.31767  99.80481 100.23472 100.08496 #>  [28967] 100.16986  99.99000  99.84989  99.76472  99.87993  99.78477 100.15987 #>  [28974]  99.90996  99.70958 100.55844  99.65440  99.92497  99.99000 100.35935 #>  [28981]  99.80982  99.72462  99.48367  99.56405  99.60422 100.51865 100.45397 #>  [28988] 100.45895  99.75470 100.00500 100.08996  99.77976 100.24969  99.91997 #>  [28995]  99.99500  99.67949  99.92998  99.64939 100.10494 100.25468 100.47885 #>  [29002]  99.69955  99.95499  99.64939 100.20479  99.67949 100.73232  99.72963 #>  [29009]  99.47361  99.57409 100.08996  99.96499  99.71459 100.43904 100.10994 #>  [29016] 100.30454  99.94498  99.77475  99.76973 100.00000  99.92998  99.61426 #>  [29023]  99.57409  99.67447 100.40418 100.11493  99.67447  99.66444 100.15987 #>  [29030]  99.75470 100.48881  99.46356  99.99000  99.61928 100.11493  99.75470 #>  [29037]  99.77976  99.90996  99.98000 100.45397  99.55401 100.28460 100.11493 #>  [29044] 100.27462  99.84989  99.72462 100.35437 100.25966  99.86992 100.31949 #>  [29051] 100.13990 100.14989  99.80982  99.64939 100.50373 100.12492  99.95499 #>  [29058]  99.93498 100.41912  99.66945 100.56838  99.69453 100.10494 100.13990 #>  [29065] 100.03999 100.12992 100.07497 100.22475  99.68952  99.76973 100.06498 #>  [29072]  99.86491  99.74467 100.07997  99.76472  99.04040 100.00000  99.83486 #>  [29079]  99.84989  99.61426 100.32447 100.44401  99.85990  99.78978  99.59418 #>  [29086] 100.01000  99.61928 100.23971  99.87492  99.57409  99.73966  99.87993 #>  [29093]  99.83486 100.36932  99.98500  99.53894 100.09995  99.86491 100.08496 #>  [29100]  99.32271 100.13491 100.18483  99.90495 100.08996  99.85489 100.21976 #>  [29107] 100.01500 100.41912  99.89995  99.86992  99.94999  99.67447  99.72462 #>  [29114]  99.55401 100.09495 100.49876  99.69955 100.11993  99.98000 100.01500 #>  [29121]  99.79980  99.76973 100.16986 100.13990  99.99500  99.97000 100.05998 #>  [29128]  99.92497 100.29955 100.38426  99.72462 100.41414  99.77976  99.90996 #>  [29135] 100.62803  99.84989  99.67447 100.21477 100.03000 100.22974 100.02500 #>  [29142] 100.17984  99.90495  99.84989  99.94498 100.53358 100.43904 100.52363 #>  [29149]  99.48367  99.78477  99.98500  99.97000  99.60924 100.10994 100.03000 #>  [29156] 100.20479  99.95499 100.32946  99.84488 100.13990  99.89494 100.16486 #>  [29163]  99.62429 100.34441 100.08496  99.77475  99.89494  99.60422  99.87993 #>  [29170] 100.20479 100.12492  99.74969  99.84488  99.82485  99.70958  99.90996 #>  [29177] 100.06498  99.75470 100.01000  99.60422  99.70456  99.72462 100.08496 #>  [29184] 100.06498  99.54396 100.18982  99.94498 100.08996 100.25468 100.27462 #>  [29191] 100.14989 100.09495 100.24969  99.67447  99.61426  99.89494  99.70456 #>  [29198]  99.91496 100.43904 100.17485  99.77475 100.49378 100.14989  99.55401 #>  [29205]  99.69955  99.59418 100.53358  99.88493 100.08496 100.34441  99.55401 #>  [29212] 100.01500 100.24969 100.35437 100.00500  99.47864  99.69955 100.32946 #>  [29219]  99.77475 100.08496 100.06498 100.09495  99.71459  99.49874 100.21477 #>  [29226] 100.03999 100.57336 100.01500  99.74969 100.17984 100.57833 100.59821 #>  [29233] 100.42908  99.97500 100.45895 100.42908  99.72462 100.28958  99.75470 #>  [29240]  99.98000  99.95499 100.60318  99.76472  99.94999  99.82986  99.83486 #>  [29247]  99.59418 100.34939  99.62429  99.91997  99.68450 100.27961 100.01000 #>  [29254] 100.16986 100.44401  99.99500  99.89995  99.85990  99.95499  99.94498 #>  [29261] 100.52860  99.40825 100.26465 100.04999 100.07497  99.59920  99.74969 #>  [29268]  99.80481  99.54898  99.83987 100.12492 100.20479 100.13990  99.62931 #>  [29275]  99.77475  99.98000 100.32946 100.51865  99.84989  99.70958 100.06498 #>  [29282]  99.90996  99.71961  99.84488  99.57409  99.73966 100.38924  99.58916 #>  [29289] 100.74225  99.40825 100.01500  99.92497 100.05498 100.25468 100.52860 #>  [29296] 100.42908 100.47885  99.53894 100.29955  99.63935 100.34441  99.78978 #>  [29303]  99.55903  99.44848  99.77475 100.35935 100.32447  99.35794 100.12492 #>  [29310]  99.77976 100.42908 100.32447  99.70456  99.74969  99.32271 100.16986 #>  [29317] 100.10994  99.85489  99.62931  99.59920 100.24470 100.09495 100.00500 #>  [29324] 100.17984  99.87492  99.53391  99.84488 100.35437  99.78978 100.10494 #>  [29331] 100.73232  99.92998 100.25966 100.11993  99.75470 100.25468  99.71459 #>  [29338]  99.66945 100.17485 100.13990  99.80481  99.77976  99.61928  99.87993 #>  [29345]  99.73465  99.94999 100.35935 100.17485 100.40418  99.43339  99.85489 #>  [29352]  99.76973  99.92497  99.90495  99.96499  99.35291 100.26465 100.17485 #>  [29359] 100.33942  99.50879 100.54850  99.01515 100.02500 100.32447  99.84488 #>  [29366]  99.74467 100.02000 100.42410 100.03499  99.65942  99.99000 100.11993 #>  [29373] 100.06498 100.55844  99.63935 100.10494 100.01500 100.18483 100.16986 #>  [29380]  99.95499  99.93498  99.91496 100.20978 100.11993 100.43406 100.28958 #>  [29387] 100.33444 100.35437 100.18982 100.28958 100.46392 100.00500 100.20978 #>  [29394] 100.32946  99.98500 100.14490  99.99500  99.77475 100.48383  99.81483 #>  [29401]  99.57911  99.82485 100.21976  99.80481  99.84488  99.68450  99.90495 #>  [29408] 100.49378 100.05998 100.32946  99.48869  99.79980  99.89995 100.33444 #>  [29415]  99.85990  99.92497  99.60924  99.79479 100.19980 100.15987 100.27462 #>  [29422] 100.02000  99.83486 100.05498  99.76973  99.91496 100.22475  99.82986 #>  [29429] 100.21976 100.15488 100.28460 100.31949 100.11993 100.28958 100.03999 #>  [29436] 100.16486  99.72462 100.01500  99.69955  99.71961 100.03999  99.97500 #>  [29443]  99.62429 100.06998 100.32946 100.06998 100.69757  99.95999  99.98500 #>  [29450] 100.52363  99.74467 100.24969  99.93498 100.09995  99.88994  99.77976 #>  [29457] 100.16986 100.24470 100.03999 100.44401 100.16986 100.09995 100.78194 #>  [29464]  99.89995  99.68450 100.00500 100.06498  99.93998 100.43406  99.77475 #>  [29471]  99.94498 100.15488 100.03999 100.19980 100.15488 100.28958 100.18483 #>  [29478]  99.98000 100.13491 100.14490  99.67949  99.81483  99.53391 100.35935 #>  [29485] 100.30454  99.78477 100.18483  99.85489  99.97000  99.88493  99.66444 #>  [29492] 100.16486  99.91997  99.58414  99.98000 100.39422  99.78477 100.15987 #>  [29499] 100.32946 100.01000 100.11993  99.76472 100.18982 100.33444  99.97500 #>  [29506] 100.06998 100.20479 100.01000 100.10494 100.29457  99.88994  99.68952 #>  [29513] 100.58827  99.60422  99.77475 100.06498  99.64939 100.15488 100.01000 #>  [29520]  99.90996 100.27462 100.05998  99.73966  99.65942  99.92998  99.79479 #>  [29527] 100.38426 100.01000  99.90996  99.83486 100.08496  99.72963  99.74969 #>  [29534]  99.71961 100.04499  99.61426  99.59920  99.61928 100.15488  99.65942 #>  [29541] 100.00000  99.93998  99.39819 100.14490  99.31767 100.38924 100.47885 #>  [29548]  99.56907 100.06498 100.07497  99.91997 100.26465 100.23472  99.58414 #>  [29555]  99.63935 100.00500  99.63935 100.19980 100.35437 100.40916 100.16486 #>  [29562] 100.28460 100.07997  99.92998  99.87993  99.69955  99.84989 100.22475 #>  [29569]  99.50879  99.89494 100.38924 100.45397  99.57911  99.96499 100.34441 #>  [29576]  99.96499  99.65440  99.94498 100.42908  99.91997 100.02500 100.14490 #>  [29583]  99.79479  99.81483 100.18982 100.23971  99.74969  99.90996  99.75470 #>  [29590] 100.36932 100.20479 100.33444  99.79479 100.34441  99.62931 100.13491 #>  [29597]  99.70456 100.22475  99.78978 100.18483 100.35437 100.07997 100.17984 #>  [29604] 100.46392  99.81984  99.79479  99.77976  99.83486 100.05498  99.41831 #>  [29611] 100.21976 100.06998  99.90495  99.68952 100.04999 100.09995  99.64437 #>  [29618] 100.14490 100.58330 100.28958 100.54352 100.03499 100.70253 100.01000 #>  [29625] 100.32946 100.07997 100.03000 100.32447 100.06498 100.10994 100.27462 #>  [29632] 100.28958  99.99000  99.09087 100.31451  99.81984  99.86992 100.20978 #>  [29639]  99.50377 100.12992 100.10994  99.71459 100.20479 100.02000  99.76472 #>  [29646] 100.32946  99.58414  99.76973 100.30952 100.06498  99.79980 100.40418 #>  [29653]  99.87492 100.20978 100.18483  99.68952  99.45351 100.16986  99.86992 #>  [29660]  99.72963 100.46890 100.21477  99.85990 100.07497  99.76973 100.60815 #>  [29667] 100.13491 100.03999  99.95499 100.12992 100.08496  99.84989 100.01000 #>  [29674]  99.59920  99.92497 100.70750  99.55401  99.89995 100.46890  99.87492 #>  [29681] 100.19481  99.67447 100.52363  99.60924 100.26465 100.02000  99.55401 #>  [29688]  99.88493  99.77976 100.77698  99.62429  99.84989 100.08996  99.49874 #>  [29695]  99.39316 100.03999 100.16986  99.41328  99.95499 100.51368  99.70456 #>  [29702] 100.05498  99.98000 100.20978 100.05998  99.84488  99.88994  99.99000 #>  [29709]  99.73465  99.63935 100.26465  99.18165  99.99500 100.40418 100.10494 #>  [29716]  99.95499  99.96499  99.67949 100.08496  99.67447 100.05998 100.54850 #>  [29723] 100.41414  99.50879 100.49876  99.89995  99.77475 100.24969  99.82485 #>  [29730] 100.24470  99.86992 100.26964 100.05998 100.46890 100.14490  99.91997 #>  [29737] 100.24969 100.28460  99.99500  99.53391  99.69453  99.94498 100.22475 #>  [29744] 100.52860  99.69453 100.08496 100.01500  99.89494 100.03999  99.91496 #>  [29751] 100.16986  99.93498  99.85990  99.85489 100.25468 100.18982  99.98000 #>  [29758] 100.23971  99.97000  99.62931 100.02000 100.09995  99.82485  99.96499 #>  [29765]  99.92497  99.83987  99.81984  99.85489 100.18982  99.75470 100.02500 #>  [29772] 100.01000  99.90996 100.30952  99.76973  99.80481 100.30454 100.40418 #>  [29779] 100.15987 100.43406 100.48881  99.96499 100.20978  99.67949 100.45895 #>  [29786]  99.76973  99.49372  99.58916  99.62931 100.23472 100.05498 100.29457 #>  [29793] 100.23971 100.04499 100.33942  99.82986  99.54898  99.83987 100.20978 #>  [29800]  99.78978  99.75470 100.03999  99.98000  99.65942 100.15488  99.98000 #>  [29807] 100.21976  99.87492  99.58414  99.95999  99.99500  99.71459  99.83987 #>  [29814] 100.01000 100.12492  99.65942 100.16486  99.93498 100.15987 100.67274 #>  [29821] 100.39920 100.26964  99.81483  99.84989  99.93498  99.99500 100.03499 #>  [29828]  99.76973 100.11993  99.98000 100.03499  99.95499  99.37303  99.74969 #>  [29835]  99.82986 100.35935 100.15488  99.68450  99.91997 100.29457  99.92497 #>  [29842] 100.28460 100.23971 100.30454  99.81483 100.51865  99.80982  99.65942 #>  [29849] 100.16986  99.46356  99.81483 100.48383  99.92497 100.11993  99.95999 #>  [29856] 100.28460 100.02000  99.70958  99.90996 100.14490  99.84488 100.30952 #>  [29863] 100.00500 100.18982 100.09995 100.16486  99.95999  99.53894 100.01000 #>  [29870] 100.01000 100.38426 100.01000 100.76210  99.88493  99.89494 100.29955 #>  [29877]  99.98500  99.68450 100.22475  99.55401  99.87993 100.16986 100.28460 #>  [29884]  99.54396 100.23971 100.07997 100.04999 100.82658  99.88994 100.01000 #>  [29891] 100.06998 100.26465 100.26964  99.84488  99.77976  99.86491  99.19677 #>  [29898] 100.00500 100.02000  99.95499  99.69955 100.15488 100.49378 100.29457 #>  [29905]  99.79980 100.03999 100.55347  99.78978  99.82485  99.35291 100.03499 #>  [29912] 100.63300  99.83987  99.94999  99.79479 100.39422  99.85489 100.36932 #>  [29919]  99.85489  99.68952  99.93998  99.90996 100.21477  99.98500 100.07997 #>  [29926] 100.14989  99.97500  99.88994 100.15987 100.39422 100.18483  99.89995 #>  [29933] 100.12492 100.40418 100.00500 100.30454  99.93998 100.08996  99.46356 #>  [29940] 100.12492 100.03499 100.03999  99.93998 100.00500 100.03000 100.22974 #>  [29947]  99.80982 100.23472  99.42334  99.45853  99.96499  99.72963 100.51368 #>  [29954] 100.56838  99.27739 100.08996  99.83486 100.09495  99.44345  99.95999 #>  [29961]  99.53391  99.85489  99.75971 100.43406  99.59920 100.56838 100.17984 #>  [29968]  99.62429 100.05498  99.83486 100.45895  99.79479 100.31451  99.54396 #>  [29975]  99.72963 100.34441  99.85489  99.50879  99.40322 100.22475 100.20479 #>  [29982] 100.20978  99.66945 100.58827 100.46392 100.53358  99.94498  99.65942 #>  [29989] 100.23472  99.78978 100.08496  99.94498 100.37430  99.66444 100.02500 #>  [29996]  99.51382 100.67274 100.20978 100.22475 100.08996  99.90495 100.28958 #>  [30003]  99.99000 100.29457 100.52363  99.88994  99.65440  99.32774  99.81483 #>  [30010]  99.95999  99.91997 100.30454  99.80982  99.95999 100.16986 100.34441 #>  [30017] 100.24969  99.63433 100.03000 100.33444  99.87993  99.78978  99.67949 #>  [30024]  99.66444 100.60318 100.39920  99.72462 100.08496  99.88994 100.24969 #>  [30031]  99.99000  99.96499 100.21976 100.23971 100.23472  99.80982  99.83987 #>  [30038] 100.27961  99.63935 100.19980 100.29955  99.81984  99.37807  99.51382 #>  [30045]  99.86491  99.98500 100.30454  99.63935 100.45895  99.84989 100.22974 #>  [30052]  99.64437 100.08996  99.86992 100.25468  99.56907 100.30454  99.69453 #>  [30059]  99.97000 100.44401 100.00000  99.66444  99.71459 100.31949 100.45895 #>  [30066] 100.19481  99.80982  99.77976 100.19980  99.58414 100.14490  99.98500 #>  [30073] 100.04999 100.31949  99.83987 100.40418 100.10994  99.76973  99.73966 #>  [30080] 100.21976 100.24969  99.62931  99.56907  99.78978 100.06998 100.47885 #>  [30087] 100.36932  99.86491  99.81984  99.93498  99.83486  99.79479  99.87492 #>  [30094]  99.89995  99.82986  99.59418  99.92998 100.31949  99.98500  99.47864 #>  [30101] 100.51865  99.91997  99.38310  99.97000  99.95499 100.35437 100.02000 #>  [30108]  99.69453  99.96499  99.65942  99.98000 100.17485 100.26465 100.23971 #>  [30115] 100.09495 100.21477  99.58916  99.94498  99.86491 100.11493  99.85489 #>  [30122]  99.75971 100.03999  99.90996 100.00500 100.04499  99.56405  99.98500 #>  [30129] 100.15488 100.29955  99.85489  99.74467  99.99500  99.97000  99.92998 #>  [30136] 100.73728  99.85990  99.42837 100.12492 100.08996 100.46392 100.40916 #>  [30143] 100.13491  99.95499  99.76472 100.09995  99.82485 100.33444 100.74225 #>  [30150]  99.98500 100.69260 100.00500  99.90996 100.29955 100.14490 100.33444 #>  [30157]  99.72963  99.73465 100.18982 100.05998 100.15488 100.24470 100.67770 #>  [30164] 100.06498 100.10494  99.85990 100.10494  99.43842 100.25468 100.48881 #>  [30171]  99.89494 100.39920  99.71459 100.36932  99.71459 100.50373  99.98500 #>  [30178]  99.86992  99.53391 100.32946  99.75971  99.71459 100.26465  99.84989 #>  [30185] 100.36434 100.36434 100.41414 100.61809  99.59418 100.04499 100.16486 #>  [30192] 100.08996 100.33444 100.10494 100.07997  99.99000  99.81483 100.03999 #>  [30199] 100.04499 100.48383 100.56838  99.97500 100.17984 100.05998  99.36297 #>  [30206] 100.04999 100.09995  99.93498 100.02000  99.77475  99.88994  99.93498 #>  [30213] 100.40418 100.67274 100.01000 100.34441 100.52860  99.67447  99.78978 #>  [30220]  99.89494  99.60924 100.19481  99.70456  99.56405 100.25966 100.13990 #>  [30227]  99.82986  99.84989 100.33942 100.12992  99.95499  99.67447  99.50377 #>  [30234]  99.67447  99.62931 100.03000 100.26964  99.90996  99.34787 100.47885 #>  [30241] 100.25468  99.86992 100.04499 100.28958 100.12992 100.12492  99.52387 #>  [30248] 100.26465 100.18483  99.91997  99.95999  99.98000 100.08496  99.97000 #>  [30255] 100.06998  99.94999  99.46356  99.41328 100.31949  99.58414 100.07497 #>  [30262] 100.49876 100.04999 100.06998 100.32447 100.03999  99.97000  99.73465 #>  [30269] 100.43904  99.90996 100.09995  99.60422 100.07497  99.45351 100.31451 #>  [30276]  99.74969  99.63433 100.05998 100.65784  99.84989 100.29457 100.18483 #>  [30283] 100.63300 100.49378 100.26465  99.63935  99.49874 100.75713 100.29457 #>  [30290] 100.05998 100.07497  99.61426 100.18483 100.17485  99.87993 100.36434 #>  [30297] 100.51368 100.00000 100.54850 100.03499  99.69453 100.24470  99.93998 #>  [30304] 100.45397 100.13990  99.91496  99.86491 100.50871  99.48367 100.26465 #>  [30311] 100.16486 100.56838 100.10994 100.08496  99.83987  99.90495  99.69955 #>  [30318] 100.57833 100.42410 100.72239 100.23971 100.03999 100.14490 100.61312 #>  [30325]  99.86992  99.94999  99.94498 100.08996  99.94999  99.34284  99.71459 #>  [30332] 100.31451  99.83987 100.11493 100.46890 100.20479  99.93498  99.66945 #>  [30339] 100.39422  99.51884 100.06498  99.91496  99.97000 100.01500  99.96499 #>  [30346] 100.26964  99.87993 100.33444 100.37430 100.22974  99.76973  99.67447 #>  [30353] 100.38924  99.62429 100.47885 100.52363  99.52387 100.40418 100.05998 #>  [30360] 100.02000 100.43904 100.20978  99.71961 100.27961 100.30952  99.74467 #>  [30367]  99.57911 100.44899  99.57911 100.36434  99.89995  99.64939  99.87993 #>  [30374]  99.88493  99.83486 100.21477  99.95499  99.41831 100.24969  99.96499 #>  [30381] 100.47388  99.98000 100.28958 100.39920  99.60422 100.20479 100.32946 #>  [30388]  99.64939  99.71961  99.92497 100.00500 100.18483  99.88493 100.36434 #>  [30395] 100.31451 100.21477 100.65784  99.73966 100.00000  99.94999 100.13990 #>  [30402] 100.11493 100.51368 100.30952  99.51884 100.24470 100.43904  99.69955 #>  [30409]  99.89995 100.08496 100.13491  99.88493 100.48383  99.92497  99.89995 #>  [30416]  99.87492 100.09995  99.76472 100.07497 100.20978 100.19481  99.88994 #>  [30423] 100.55347 100.14989 100.10994  99.27235  99.76472 100.04499  99.95999 #>  [30430] 100.00000 100.03000  99.79479  99.62931 100.27462  99.57409  99.60422 #>  [30437]  99.80982 100.36932  99.66945  99.79479 100.32946 100.35935 100.34441 #>  [30444] 100.08496  99.76973 100.01000  99.82986 100.35437 100.37928  99.66444 #>  [30451]  99.60924 100.02500  99.95499  99.86491  99.28243 100.19481 100.62306 #>  [30458] 100.04999 100.21477 100.49876  99.95499 100.41912  99.67447 100.35437 #>  [30465] 100.13990 100.28958 100.53855  99.99500 100.13491  99.65440  99.80982 #>  [30472]  99.97500 100.38426 100.38426  99.50879 100.10494 100.26964  99.67949 #>  [30479] 100.42410 100.12492 100.22475 100.54352  99.50377 100.05498 100.50373 #>  [30486]  99.91496  99.82986  99.73465 100.14490  99.39819  99.51884 100.18483 #>  [30493] 100.21477 100.20479 100.73232  99.57911  99.80481 100.08996 100.08996 #>  [30500]  99.84989 100.16986  99.98500  99.70958 100.08496 100.23971 100.14989 #>  [30507] 100.01000  99.86992 100.12992  99.92998  99.81984  99.67949  99.86992 #>  [30514] 100.36932 100.18982 100.70253  99.85990  99.65440 100.41414  99.76472 #>  [30521] 100.01500 100.11993 100.57833 100.16986 100.03000 100.17485 100.16986 #>  [30528] 100.02000 100.14490 100.06498  99.86491  99.57911  99.86491  99.79980 #>  [30535] 100.23472  99.85990 100.58330  99.87993 100.22475  99.65440  99.67447 #>  [30542] 100.29955 100.31949  99.63935  99.73966 100.22974 100.28460 100.37928 #>  [30549]  99.44848  99.71459  99.69453  99.93498  99.74969  99.86992 100.29955 #>  [30556] 100.30952 100.29955  99.82986 100.00500 100.30952  99.77475  99.71961 #>  [30563] 100.32946 100.36434 100.10494  99.97500 100.04499 100.53855 100.27961 #>  [30570]  99.88493 100.12492  99.92497  99.76973  99.64939  99.78978 100.02000 #>  [30577] 100.01000 100.32946 100.26964  99.53894 100.16486  99.98000  99.94498 #>  [30584] 100.03999  99.90495  99.95499 100.26964  99.97000 100.35935  99.98000 #>  [30591]  99.77475  99.87993  99.86491 100.46890 100.02500 100.38426  99.91496 #>  [30598]  99.63935 100.57833  99.61928  99.84488 100.46392 100.29457 100.11493 #>  [30605] 100.12492  99.79479 100.06998 100.37928 100.02500 100.42410  99.64939 #>  [30612]  99.98500 100.47885  99.55903  99.87993  99.20685  99.87993 100.05498 #>  [30619] 100.16486 100.28958 100.13990  99.75470  99.60924  99.98500 100.08996 #>  [30626]  99.58916  99.98000 100.21477 100.16486 100.12492  99.88493  99.39819 #>  [30633]  99.86992  99.82986  99.91997  99.80481 100.44899 100.06498  99.81984 #>  [30640] 100.09495  99.99500 100.11993 100.18982 100.35935 100.17984 100.03499 #>  [30647] 100.07497 100.38426  99.80982 100.44401 100.19980 100.29457 100.47388 #>  [30654]  99.95499  99.08582 100.55844 100.31949  99.71961 100.10994 100.32447 #>  [30661]  99.91997  99.70456 100.02000 100.10994 100.06998  99.67447 100.06498 #>  [30668] 100.23472 100.24969 100.06998 100.10494  99.39819  99.71961 100.21976 #>  [30675] 100.11993 100.08996  99.74467 100.36434 100.05998  99.99500 100.32946 #>  [30682]  99.67949  99.54396  99.48869  99.62931 100.36932 100.43406  99.89494 #>  [30689]  99.94999 100.22475 100.28460  99.79980 100.03999 100.40916 100.19481 #>  [30696]  99.65440  99.75470 100.34441  99.69955  99.66945  99.70958 100.22475 #>  [30703]  99.82986  99.40825  99.65440 100.33942  99.29250  99.75971  99.66444 #>  [30710] 100.17984 100.05998  99.93998 100.00500 100.43904  99.77475 100.02500 #>  [30717]  99.84488 100.27961 100.31451 100.22974 100.18483  99.89494  99.19677 #>  [30724] 100.07497  99.48367  99.87492  99.59418 100.22475  99.66444 100.33942 #>  [30731] 100.36434 100.26964  99.85990  99.88994  99.44848  99.97500  99.82986 #>  [30738]  99.76472  99.39819 100.54352  99.98000  99.89995  99.99500 100.14490 #>  [30745] 100.04999 100.08496  99.85489 100.80179  99.84989 100.11493 100.39422 #>  [30752] 100.19980 100.13990  99.97000 100.01000  99.61928  99.77976 100.23971 #>  [30759]  99.72963  99.91997 100.00000  99.95999 100.43904  99.87492 100.32946 #>  [30766]  99.79479  99.96499 100.23472  99.50377  99.89494 100.16986 100.19980 #>  [30773] 100.02500  99.86491 100.18982 100.25966 100.31949 100.28460  99.30257 #>  [30780] 100.44401  99.89494  99.99000 100.38924  99.95999 100.62803 100.18982 #>  [30787] 100.15987 100.30454 100.29457  99.91496  99.69955  99.79479  99.87993 #>  [30794] 100.24969 100.42908  99.54396 100.55844 100.13491 100.22974  99.95999 #>  [30801]  99.47864  99.42334  99.79980  99.98500  99.69453  99.89995 100.02500 #>  [30808] 100.06998 100.14989 100.05498  99.71459 100.08496 100.19980 100.35935 #>  [30815]  99.81984  99.88994 100.35437 100.15488  99.91496 100.30952  99.68450 #>  [30822]  99.92998 100.47885  99.40825  99.54898 100.14490 100.43904  99.81984 #>  [30829] 100.00500 100.34441 100.31451 100.45895 100.36434  99.79980 100.26964 #>  [30836]  99.78477  99.62429  99.77475 100.05998  99.51382  99.79980 100.34441 #>  [30843]  99.89995  99.93498 100.03999 100.08496 100.19980 100.02000  99.58916 #>  [30850] 100.09995 100.41912 100.09995 100.86129  99.41328 100.36932  99.37303 #>  [30857]  99.91496  99.93998  99.57409 100.03999  99.72462  99.68952 100.08996 #>  [30864]  99.59920 100.07497 100.13990 100.28958 100.37928  99.82986 100.34441 #>  [30871]  99.93998 100.10494 100.06498 100.11993  99.61426  99.68952  99.76472 #>  [30878]  99.75470  99.87993 100.47885 100.33942 100.56838  99.54396  99.91997 #>  [30885] 100.02000 100.08496  99.50879 100.22475  99.73465 100.04999  99.50377 #>  [30892] 100.76210  99.43842  99.85990 100.21477 100.30454 100.01500 100.15987 #>  [30899]  99.26732 100.06498  99.35291 100.26964 100.14490  99.72462  99.93498 #>  [30906]  99.95499 100.05998  99.81984 100.13990 100.16986 100.20479  99.35291 #>  [30913] 100.58330 100.08496 100.38924  99.77475  99.73966 100.08496  99.99500 #>  [30920] 100.19481  99.58414  99.46859  99.94999 100.09495 100.08496 100.40916 #>  [30927]  99.58916  99.50377 100.14989 100.38426  99.88994  99.66945 100.00500 #>  [30934] 100.26964 100.37928 100.05998  99.62429 100.00500 100.57336 100.02500 #>  [30941] 100.03000 100.00500  99.90996  99.82485 100.12492  99.50879 100.10994 #>  [30948]  99.80982  99.88493 100.42908 100.03999  99.66945 100.12992 100.38426 #>  [30955]  99.89995 100.31451 100.13491 100.60815  99.74467 100.45895  99.69955 #>  [30962]  99.87993 100.25468 100.12992  99.90495 100.06498 100.21976 100.45397 #>  [30969]  99.18165 100.12492  99.49874  99.88994  99.85489 100.33444 100.13491 #>  [30976] 100.17485  99.91496  99.56907 100.14989  99.80481  99.76472  99.56907 #>  [30983] 100.13491 100.12992  99.90996 100.00000 100.16486  99.94999  99.75470 #>  [30990]  99.74467  99.75470 100.09495 100.13990  99.96499  99.46356  99.99500 #>  [30997]  99.44848  99.80982  99.83987 100.17485 100.24969  99.91997 100.04499 #>  [31004]  99.91997 100.28460  99.82986  99.96499 100.23472  99.50879  99.88493 #>  [31011]  99.84989  99.73465  99.68952  99.57911 100.04999  99.99500 100.34939 #>  [31018]  99.83486  99.89494 100.11993  99.64437 100.25966  99.80982 100.13990 #>  [31025] 100.01000 100.29457 100.15488  99.88994  99.78477 100.59324 100.18982 #>  [31032] 100.09995 100.59324 100.12492  99.44848 100.07997  99.93498  99.65440 #>  [31039] 100.10994 100.45397  99.97000 100.21976 100.53855  99.76472 100.20978 #>  [31046]  99.59418 100.16486  99.65942  99.43842 100.17485 100.29955 100.03999 #>  [31053] 100.10994 100.04999 100.15987  99.72462  99.49874  99.98500 100.18483 #>  [31060] 100.03999  99.97000 100.65784  99.92497  99.72963 100.01500 100.10494 #>  [31067] 100.05498  99.61426 100.18483  99.85990  99.93498  99.93998 100.09995 #>  [31074]  99.66444 100.31949 100.00500  99.64939 100.26964  99.47361  99.84488 #>  [31081]  99.42837  99.62931  99.79980 100.52860 100.04999  99.92998  99.53391 #>  [31088] 100.44401  99.62429  99.90495 100.14989 100.02500  99.69453  99.85990 #>  [31095] 100.03499  99.81984 100.14490  99.54396 100.01000 100.55844  99.94498 #>  [31102] 100.02500 100.10494 100.10994 100.13491  99.89494 100.45895  99.76472 #>  [31109]  99.91997  99.74969 100.15987  99.74969 100.47388 100.11993  99.80982 #>  [31116] 100.03000 100.33444 100.20978 100.18483 100.11993 100.46392  99.92497 #>  [31123]  99.98000 100.37430  99.83486 100.24470 100.01500  99.87993  99.70456 #>  [31130] 100.56838 100.69757 100.19481  99.75470 100.12492  99.92497 100.02500 #>  [31137]  99.38813  99.68450 100.04499  99.78477 100.05498  99.96499  99.83486 #>  [31144] 100.54850 100.45397 100.15987  99.93998 100.13990  99.90495  99.89494 #>  [31151] 100.09495  99.58414 100.28958  99.47361 100.04499 100.36434 100.14490 #>  [31158]  99.66444  99.83486 100.01500 100.06498  99.37303  99.35794 100.51865 #>  [31165]  99.74467 100.27462 100.18982  99.98000  99.61426 100.24969 100.08996 #>  [31172]  99.81984  99.75971  99.75971  99.62429  99.56405  99.64939 100.14989 #>  [31179] 100.04999 100.14989 100.03000  99.54396  99.74969 100.12992  99.76973 #>  [31186]  99.92998  99.86992 100.56838 100.27462 100.03000  99.87993  99.57911 #>  [31193] 100.27961 100.10994  99.78978 100.03499  99.91496 100.52860 100.12992 #>  [31200]  99.73465  99.85990  99.61426  99.41328  99.92497 100.38924 100.33942 #>  [31207] 100.18483 100.28958  99.74467 100.15488 100.10494  99.53894 100.03499 #>  [31214] 100.30454 100.31949  99.64437  99.59920  99.87993  99.84488 100.04999 #>  [31221]  99.44848  99.67949 100.16486  99.68952 100.80179 100.32946 100.15987 #>  [31228]  99.80481 100.27961  99.84488 100.30454  99.64437  99.73966 100.02500 #>  [31235] 100.18982 100.07997 100.04499  99.81984 100.02000 100.67274  99.48367 #>  [31242] 100.15987 100.17984  99.57911 100.19481 100.00000 100.12492  99.65942 #>  [31249] 100.13990 100.36932  99.99500  99.42334  99.98500  99.91997  99.63433 #>  [31256]  99.83987 100.39422  99.99000 100.50373  99.95499 100.69260 100.29955 #>  [31263] 100.03499  99.74467  99.73966 100.14989  99.66945 100.16986 100.14490 #>  [31270] 100.05498 100.13491  99.81483  99.70456  99.46356 100.09995 100.00000 #>  [31277] 100.06998  99.60422 100.07497 100.18483 100.11993  99.82986  99.90996 #>  [31284] 100.09995 100.05498  99.76973 100.09995  99.88493 100.46392  99.71961 #>  [31291]  99.93498 100.21976 100.28460  99.58916 100.03000 100.02000 100.47388 #>  [31298]  99.93998  99.73966 100.07997  99.66945  99.53894 100.01000  99.84488 #>  [31305] 100.12992 100.35437 100.19980  99.79980 100.02000 100.09495  99.85489 #>  [31312]  99.49372  99.56405 100.23472  99.84989  99.63935  99.73966 100.56838 #>  [31319] 100.35437 100.26964 100.09495  99.59418  99.23709  99.74969 100.15987 #>  [31326]  99.69453  99.88994 100.25468  99.54898  99.92998 100.18982 100.39920 #>  [31333] 100.04499  99.93998 100.20479 100.27462  99.73465  99.70456 100.13491 #>  [31340]  99.84488 100.00000 100.26964 100.06998 100.08496  99.82485 100.44401 #>  [31347] 100.04999 100.13491 100.02000 100.11993 100.18483 100.24470 100.22974 #>  [31354] 100.02500 100.07997 100.02500  99.58414 100.30952 100.07997 100.19980 #>  [31361] 100.14989 100.06998 100.03499 100.45895  99.73465  99.50377 100.26964 #>  [31368]  99.87993  99.91496  99.70958 100.40916  99.72462 100.29457  99.98500 #>  [31375]  99.64939  99.95499 100.17485 100.14490 100.37430 100.10494  99.97000 #>  [31382] 100.49378 100.18982  99.49372  99.99000 100.23971 100.01500  99.97500 #>  [31389] 100.07997  99.72462  99.90495  99.94498 100.14490  99.95999 100.20479 #>  [31396]  99.99000 100.23971 100.01000 100.32946  99.68450  99.70456 100.27961 #>  [31403] 100.31451  99.76472  99.94999  99.71459 100.14989  99.97500  99.60924 #>  [31410]  99.25220  99.66444 100.10494 100.58827 100.06998  99.71961  99.98000 #>  [31417]  99.98500  99.77976 100.36434 100.12492  99.99500 100.40418 100.30952 #>  [31424]  99.79479  99.86992 100.43904 100.22475  99.52889 100.31949 100.08996 #>  [31431] 100.21976 100.05498 100.22475  99.85990 100.27961 100.09995  99.71459 #>  [31438] 100.31949 100.16486  99.56907 100.09995 100.62306 100.22475  99.88493 #>  [31445]  99.60422 100.45895 100.57336 100.46392  99.40322  99.78477  99.81984 #>  [31452] 100.47885 100.11993 100.26465 100.31949 100.38924 100.37928  99.89494 #>  [31459] 100.13990  99.65440  99.76973  99.89995  99.70456 100.30454  99.70456 #>  [31466]  99.60422 100.22974 100.60318 100.03499  99.91496  99.35291 100.03499 #>  [31473]  99.63935 100.20978 100.33942 100.09995  99.79980  99.79980  99.61426 #>  [31480] 100.14490 100.03999  99.40825 100.06998  99.87492 100.13491 100.14490 #>  [31487] 100.17984  99.63935 100.04999 100.24470  99.84488 100.04999 100.22475 #>  [31494]  99.77475 100.41912 100.29457  99.71961 100.26465  99.70958 100.25468 #>  [31501] 100.21477  99.90996  99.94498 100.26465 100.80179 100.33444  99.88994 #>  [31508]  99.90495 100.49876  99.68952  99.85990  99.88994  99.41328  99.67447 #>  [31515] 100.32946 100.67770  99.88994 100.05498 100.15987 100.40916 100.06498 #>  [31522] 100.28958 100.14490 100.13990 100.20978 100.16986 100.45895 100.48881 #>  [31529] 100.56838 100.06498  99.89995  99.36800 100.14490  99.76472  99.75470 #>  [31536]  99.91997 100.02500  99.95499  99.82485  99.48367 100.21976 100.31451 #>  [31543]  99.51382  99.64437  99.99000  99.61426 100.31451  99.80481  99.53391 #>  [31550]  99.60924 100.17984  99.68450 100.39920 100.00500 100.14490 100.73728 #>  [31557]  99.73966  99.31264  99.59418 100.11493  99.61928  99.71459 100.65784 #>  [31564] 100.00500  99.87492 100.36434 100.23472 100.47885  99.74467 100.10994 #>  [31571] 100.23472 100.13990 100.17485  99.52387  99.92497 100.20479 100.38924 #>  [31578]  99.90495  99.69453 100.34939 100.22974 100.04999  99.51382  99.69453 #>  [31585]  99.97000 100.11993  99.71459 100.30454  99.66444  99.77976  99.89995 #>  [31592] 100.21477  99.81984  99.98000  99.72963 100.03000  99.86491  99.88493 #>  [31599] 100.11993 100.19980  99.89494  99.99500  99.53894 100.22974 100.03999 #>  [31606] 100.61809  99.81984 100.42908  99.90495  99.65440 100.37430  99.75971 #>  [31613] 100.25966 100.51368  99.83987  99.70958  99.38310  99.67949 100.15987 #>  [31620]  99.60924 100.27462 100.25966  99.54898 100.53855  99.49874  99.55401 #>  [31627] 100.12992  99.89995  99.48869 100.03499  99.59920 100.40916  99.68450 #>  [31634] 100.21976 100.19481  99.79479  99.68450  99.88994  99.84488  99.95999 #>  [31641]  99.97500 100.29955  99.70456 100.01500  99.82485  99.95499 100.13990 #>  [31648] 100.45895  99.95499  99.63433  99.81984 100.38924 100.28460  99.65440 #>  [31655] 100.08996  99.92497  99.54898  99.98500 100.12492 100.13990  99.98500 #>  [31662]  99.87993  99.93998 100.00000  99.90495 100.42410 100.52860 100.11993 #>  [31669]  99.65440 100.41912  99.78978 100.25966 100.07497  99.85489  99.68952 #>  [31676]  99.68450  99.97000  99.74969 100.15488 100.26964 100.15488 100.27462 #>  [31683]  99.86992  99.77976 100.05998 100.11993 100.60815  99.98000 100.26964 #>  [31690]  99.42334 100.23472 100.03999 100.30952 100.04999 100.25468 100.14490 #>  [31697] 100.39920 100.17485  99.94999  99.99500 100.00000 100.39920  99.97500 #>  [31704]  99.58414  99.74467  99.82485 100.45895  99.92497 100.22974 100.27462 #>  [31711]  99.44345 100.04499  99.58414  99.87492  99.81483  99.62931  99.86992 #>  [31718] 100.27462  99.86491 100.21976  99.83987 100.13491  99.64437  99.64437 #>  [31725] 100.26964 100.52363 100.24470 100.41912  99.61426 100.44401  99.40825 #>  [31732] 100.03499  99.97500 100.11493 100.12992  99.87993  99.98000  99.72462 #>  [31739] 100.31451 100.39422  99.80481 100.11993 100.16986 100.11993  99.80982 #>  [31746]  99.71459  99.38813  99.82986 100.35935  99.94498  99.98500 100.37928 #>  [31753]  99.85489  99.83987 100.14989 100.03999 100.30454  99.73966  99.67949 #>  [31760]  99.78978 100.41414  99.67447  99.61928  99.71961  99.71459  99.70958 #>  [31767]  99.30760 100.12992 100.34939 100.08496  99.70456  99.90996 100.31451 #>  [31774]  99.85489 100.05998 100.41414  99.69453  99.63935 100.54850  99.74467 #>  [31781]  99.56907  99.92998 100.08496 100.06998 100.17984  99.78477  99.76472 #>  [31788]  99.80481  99.82986 100.06498 100.16486  99.93998  99.71961  99.79980 #>  [31795] 100.47885  99.68952  99.88493 100.26465 100.35437 100.06998 100.03499 #>  [31802]  99.96499  99.59920 100.19481 100.00000 100.41912 100.02000 100.06998 #>  [31809] 100.11993 100.21976  99.51884 100.16486  99.72462  99.76472  99.68952 #>  [31816] 100.14490 100.28460 100.31451  99.92998  99.65942 100.10494  99.67949 #>  [31823] 100.06498 100.66280  99.90495 100.08996  99.52387 100.05998 100.17485 #>  [31830] 100.00000 100.00500 100.37928 100.18982 100.02500 100.17485 100.04999 #>  [31837]  99.59920 100.21477 100.08996  99.64437  99.60422  99.32271  99.89494 #>  [31844] 100.35437  99.89494  99.92497  99.48869  99.83987 100.05498 100.29955 #>  [31851] 100.03000 100.41414  99.70456 100.06498  99.61426  99.79980 100.14989 #>  [31858]  99.89494  99.95499  99.92497 100.02500  99.68952 100.41912  99.82485 #>  [31865] 100.03000 100.04999 100.13491  99.73465 100.04999  99.98500  99.94498 #>  [31872] 100.17984  99.54898  99.82986  99.54396  99.87993 100.15488 100.12992 #>  [31879]  99.83987  99.91997  99.88994 100.33444  99.46356 100.15987  99.81984 #>  [31886]  99.70456  99.93998 100.51368 100.46392  99.98500 100.03000  99.78978 #>  [31893]  99.28243  99.95499  99.88994 100.09495 100.03499 100.04999 100.14989 #>  [31900]  99.67447  99.91997  99.87993 100.07997  99.41328 100.18483  99.63433 #>  [31907]  99.75971 100.18483 100.13990 100.18483 100.06998  99.60422  99.28746 #>  [31914] 100.10994  99.95999  99.58414  99.72963 100.34441  99.88493 100.06498 #>  [31921] 100.25966  99.53391 100.36434 100.26964 100.08996  99.98500 100.17485 #>  [31928] 100.15987 100.12992  99.72963  99.88493  99.60422 100.17485 100.50871 #>  [31935] 100.05498  99.56405  99.39819 100.23971 100.19980  99.67949  99.82986 #>  [31942] 100.18982  99.87492  99.69453 100.63300  99.68952 100.27462  99.91496 #>  [31949]  99.62429  99.86992 100.12492  99.87492  99.66945  99.56405  99.70456 #>  [31956]  99.43339 100.32447 100.43406  99.95999 100.06998 100.39422 100.60318 #>  [31963]  99.82485  99.99000 100.16986  99.94498 100.13491  99.73465  99.98000 #>  [31970] 100.05498  99.91496  99.98000 100.28460 100.08496 100.08496 100.21976 #>  [31977] 100.10994  99.88493 100.06498 100.44401 100.04999  99.73465 100.10494 #>  [31984] 100.11493  99.90996 100.04499  99.80982 100.19481  99.74969  99.42837 #>  [31991]  99.63935 100.15987 100.01000  99.94999 100.03499  99.99000 100.14490 #>  [31998] 100.45895  99.84488  99.90996  99.55401  99.85990  99.68450  99.77475 #>  [32005]  99.67949 100.49876 100.03999 100.04499 100.14490  99.85489  99.82986 #>  [32012]  99.76973  99.75971 100.48881  99.62931 100.27961  99.34787  99.67447 #>  [32019]  99.48869 100.15488  99.42837  99.85489 100.30454  99.73966 100.41414 #>  [32026]  99.95499  99.76472  99.65440  99.88994 100.38426  99.87993  99.82485 #>  [32033]  99.69453  99.97000  99.60924  99.67949 100.13990 100.13990 100.07497 #>  [32040] 100.07497 100.28958 100.57336 100.19481 100.14490  99.51884 100.12992 #>  [32047] 100.06998 100.17984 100.03499  99.94999  99.83987 100.43406  99.92497 #>  [32054] 100.50373  99.66444  99.82986  99.70456 100.28958  99.62429  99.56907 #>  [32061] 100.11993 100.03499  99.82986  99.58414 100.50373 100.17984  99.97000 #>  [32068]  99.85990  99.76973 100.24969 100.36932 100.21976  99.42837  99.77475 #>  [32075]  99.69955 100.19481  99.91997  99.24717  99.48367  99.86491 100.34939 #>  [32082]  99.64437 100.21477  99.99500  99.56405  99.72963 100.18483  99.73966 #>  [32089] 100.13491 100.67770 100.00500  99.84488  99.72462  99.51382 100.26465 #>  [32096]  99.92497 100.40418 100.46890 100.05998 100.03499 100.24470 100.01500 #>  [32103] 100.32946 100.25468  99.87993  99.81483 100.46890 100.81171 100.19980 #>  [32110]  99.41831  99.89995 100.02500  99.47361  99.93498  99.82485 100.28460 #>  [32117] 100.18982  99.75971 100.35935  99.95499 100.17984  99.97500 100.35437 #>  [32124]  99.82485 100.55347 100.00000  99.79980 100.26465 100.65287  99.97000 #>  [32131] 100.00500 100.07997  99.77475 100.04999 100.36932 100.11493 100.42908 #>  [32138] 100.63300  99.64437  99.57911  99.98500  99.89494  99.80982  99.99500 #>  [32145]  99.84989 100.35935  99.89494 100.17485 100.17984 100.47885 100.22974 #>  [32152]  99.51382 100.22475  99.85990 100.25468  99.95999 100.14490 100.07497 #>  [32159] 100.03000  99.82485 100.05498  99.84488  99.83486  99.48869 100.54352 #>  [32166]  99.88493 100.33942  99.59418  99.71459  99.72462  99.49372  99.98500 #>  [32173]  99.90495  99.82485  99.99500  99.70958  99.83987 100.36434 100.33444 #>  [32180]  99.68952  99.75470 100.38924  99.92497 100.46392  99.70456 100.06498 #>  [32187]  99.62931  99.81984  99.36297  99.68952  99.99000  99.69453  99.27739 #>  [32194]  99.56405  99.72462 100.44401  99.59418 100.53358 100.20978  99.48367 #>  [32201] 100.13491  99.37807  99.80481  99.98500  99.93998  99.90495 100.13990 #>  [32208]  99.80481  99.93998 100.50373  99.82986  99.82986 100.22475  99.78978 #>  [32215]  99.86491  99.59418 100.44899 100.57336  99.77475  99.89995 100.02000 #>  [32222] 100.50373  99.96499  99.84488  99.71961 100.65287  99.80982 100.58827 #>  [32229]  99.74969 100.09495 100.22475  99.99500  99.93998 100.41912 100.27961 #>  [32236]  99.32271 100.29955  99.83987  99.76973 100.38924 100.33942 100.23971 #>  [32243]  99.93498  99.89995  99.68450  99.67949 100.18982 100.58827  99.98000 #>  [32250] 100.02500  99.58916 100.54850 100.21477 100.16486 100.07997  99.99500 #>  [32257]  99.69453 100.24470  99.51884  99.98500  99.62931  99.78477 100.12992 #>  [32264]  99.94498 100.09995  99.77475 100.27961  99.34284 100.20978  99.78978 #>  [32271]  99.85489 100.41912  99.95499 100.11993  99.54898 100.69757 100.00500 #>  [32278]  99.99500 100.03999 100.01500 100.01000  99.95999 100.44899 100.03999 #>  [32285] 100.11993 100.17984  99.93998  99.80982  99.85990 100.16986  99.34787 #>  [32292] 100.07497 100.04499 100.02500 100.24969  99.93498 100.24969 100.23971 #>  [32299]  99.48367 100.46890 100.32447  99.69453  99.76973 100.11993  99.68952 #>  [32306] 100.28958 100.22974  99.98500  99.30760  99.95999  99.85489 100.47885 #>  [32313] 100.30952 100.04999 100.06498 100.00500  99.64437 100.46392 100.06998 #>  [32320]  99.52387  99.89995  99.33277 100.42410  99.69955 100.08496  99.67447 #>  [32327] 100.27961 100.07497 100.39920 100.38924 100.04499  99.34787 100.02000 #>  [32334]  99.50879 100.12492 100.49876 100.05998  99.95999 100.09995  99.83987 #>  [32341]  99.91997  99.88994 100.51865 100.01500  99.82986 100.11493 100.38426 #>  [32348]  99.84488 100.41912 100.16986 100.34939  99.62931 100.19980 100.33444 #>  [32355]  99.91496  99.75971  99.71459 100.64293  99.91997 100.02000 100.05998 #>  [32362] 100.03000 100.32946 100.01500 100.21477 100.20479  99.76973  99.75971 #>  [32369]  99.53894 100.24470  99.91997  99.89995 100.03000 100.08496  99.93998 #>  [32376]  99.60924  99.81984  99.99500  99.62931 100.03499  99.91997 100.02500 #>  [32383]  99.44848  99.25220 100.04999 100.03999  99.91997 100.41912 100.15987 #>  [32390]  99.98000  99.39819 100.12492  99.69453  99.73465 100.05998  99.97500 #>  [32397]  99.69955  99.98000 100.21477  99.84989 100.78690  99.79479 100.10494 #>  [32404]  99.92998 100.20479  99.71961  99.66444  99.76973  99.65440 100.05498 #>  [32411]  99.54898 100.32447  99.82986  99.99000 100.26465 100.13491 100.24470 #>  [32418] 100.46392  99.89494 100.25468  99.96499 100.37928 100.40916 100.21976 #>  [32425]  99.76973  99.86491  99.81984 100.33444  99.80982  99.88493  99.60924 #>  [32432] 100.44401  99.53391  99.93498  99.90996 100.18483 100.03499  99.96499 #>  [32439]  99.95499 100.01500  99.40825 100.19980 100.57833 100.09995  99.98500 #>  [32446]  99.77475  99.69453  99.90495  99.93498 100.14490 100.18982  99.63935 #>  [32453]  99.84989  99.50879  99.53391  99.37303  99.92497  99.87993  99.72462 #>  [32460]  99.74969 100.18483 100.08496  99.93998 100.18483 100.34441 100.23472 #>  [32467] 100.32447  99.83987  99.49874 100.26964  99.46859  99.61426 100.05998 #>  [32474]  99.65942 100.15987  99.34284  99.69453  99.62931 100.08496 100.11493 #>  [32481]  99.67447  99.98000  99.75971  99.44848 100.18982 100.34441  99.46859 #>  [32488]  99.73966  99.78978 100.52363  99.89995 100.21477 100.42410  99.74969 #>  [32495]  99.57911  99.97000  99.90495 100.46890  99.41328  99.52387 100.05498 #>  [32502]  99.69453 100.44899  99.99000 100.38426  99.76973 100.05498  99.57911 #>  [32509] 100.11493  99.58916 100.38426  99.57911  99.75470  99.77475 100.24470 #>  [32516]  99.88994 100.10994 100.01000 100.13990 100.20978 100.34939 100.40916 #>  [32523]  99.92497 100.02000 100.29955 100.04999 100.20479 100.12492  99.73966 #>  [32530] 100.27961  99.73465  99.68952 100.38426  99.93998 100.53855  99.82485 #>  [32537]  99.92497  99.64437  99.67949 100.20978 100.19980 100.03000 100.34441 #>  [32544]  99.71459  99.91997  99.98000  99.86992  99.81984 100.28958  99.67447 #>  [32551]  99.99000  99.89494 100.16986  99.86992  99.94498  99.75470 100.25966 #>  [32558]  99.44345  99.46356 100.22475 100.20978  99.17157  99.88493 100.08496 #>  [32565] 100.31451  99.57911  99.98000  99.72462  99.86491 100.27961  99.86491 #>  [32572] 100.68267  99.93498  99.90996  99.85990 100.25966  99.88493 100.32447 #>  [32579] 100.27462 100.07997 100.31451  99.94999  99.98000  99.94498  99.93998 #>  [32586] 100.17485 100.08496 100.15488 100.22974  99.59418 100.53855  99.55401 #>  [32593] 100.16986  99.82485 100.03000  99.74467 100.09995  99.77976 100.14490 #>  [32600] 100.31451 100.26465  99.68952 100.35437  99.52889  99.64939  99.96499 #>  [32607] 100.07997 100.27961 100.19481 100.19481 100.01000  99.34787  99.68952 #>  [32614] 100.03000  99.73966  99.34787  99.46859 100.57833 100.12492 100.50373 #>  [32621]  99.89995 100.28460  99.60924 100.03999 100.37928  99.94498  99.73465 #>  [32628] 100.41414  99.89995  99.91496  99.72963 100.19481  99.33781  99.75971 #>  [32635]  99.99500  99.78477 100.03499  99.82986 100.36932 100.03000  99.66945 #>  [32642]  99.91496 100.11993 100.61312  99.67447 100.01500 100.20479  99.52387 #>  [32649] 100.15987  99.90996 100.20978 100.25966 100.14490 100.42410 100.19481 #>  [32656]  99.65942  99.96499  99.86491  99.93998  99.99500 100.22475 100.03999 #>  [32663] 100.08496 100.44401 100.42410  99.67447  99.61928  99.96499 100.23971 #>  [32670]  99.91496  99.78978  99.51382 100.23971 100.31949  99.64939 100.27961 #>  [32677]  99.78477  99.40825  99.66945 100.11493 100.03999  99.76973  99.84488 #>  [32684] 100.28958  99.87492  99.99000 100.25468 100.12492 100.25468 100.10494 #>  [32691]  99.78978  99.60924  99.97500  99.90495  99.90996 100.42410 100.52860 #>  [32698]  99.76472 100.06998  99.70456 100.01000  99.68952  99.62931 100.30454 #>  [32705] 100.10494  99.98000 100.14490 100.25966  99.37303  99.79479 100.10994 #>  [32712] 100.05998  99.80982 100.04499 100.16986 100.36932  99.73465 100.14490 #>  [32719] 100.16986  99.95499  99.49874  99.92998  99.69955 100.15488  99.91997 #>  [32726]  99.66945 100.30952  99.69955 100.34939  99.84488  99.73465  99.82986 #>  [32733] 100.39920  99.95499  99.58414  99.88994  99.63935 100.04499  99.82986 #>  [32740]  99.73966  99.92497  99.82986 100.03499  99.84488 100.33444 100.25468 #>  [32747] 100.12492  99.83987 100.24969  99.95499  99.91997  99.79479  99.81483 #>  [32754] 100.03999  99.76472  99.64939 100.04499 100.35935  99.85489 100.30454 #>  [32761] 100.14989  99.37303  99.75470 100.03999 100.50373 100.39422 100.24969 #>  [32768]  99.66444  99.32271 100.33942 100.06498  99.47361  99.70456  99.66444 #>  [32775]  99.93998  99.91496 100.51865  99.35794 100.45895 100.11493 100.13990 #>  [32782]  99.93998  99.75470 100.53855 100.01000  99.81984 100.12492 100.34441 #>  [32789]  99.91496 100.12492  99.58414  99.70958  99.95499  99.65440  99.77475 #>  [32796] 100.01000 100.51368 100.24969  99.97000 100.67274 100.15488 100.02500 #>  [32803] 100.59324 100.32447 100.37430  99.67949  99.71961  99.76973 100.30454 #>  [32810] 100.42410 100.28460  99.80982 100.00000 100.22475 100.33942 100.20479 #>  [32817] 100.08996  99.65440  99.92497  99.82485  99.71961 100.07997 100.02000 #>  [32824]  99.96499 100.17485 100.06998  99.78978  99.80481 100.27462  99.89995 #>  [32831]  99.96499 100.39422  99.64939 100.13491  99.99000 100.03999 100.12492 #>  [32838]  99.75971 100.12492 100.31949  99.63433 100.34441 100.47885 100.18483 #>  [32845] 100.12992 100.36932  99.91997  99.56405  99.81483 100.45895 100.23472 #>  [32852]  99.60422  99.73465  99.74969  99.99000  99.64939  99.90495 100.27462 #>  [32859] 100.43904  99.95499 100.07997 100.50373  99.52387  99.93498 100.35437 #>  [32866] 100.41912 100.04999  99.81984  99.63433 100.01000  99.83486  99.69955 #>  [32873] 100.16486 100.46392  99.79980 100.03999 100.26964 100.48881 100.15987 #>  [32880] 100.20479 100.03499 100.25966  99.87993  99.57911  99.55401 100.07497 #>  [32887] 100.43406  99.77475  99.84989 100.04999 100.45895  99.90495  99.76472 #>  [32894]  99.86992  99.87993 100.04499  99.60422 100.14989 100.13990 100.00000 #>  [32901]  99.74467  99.84488 100.27961 100.44401  99.97000 100.06498  99.96499 #>  [32908]  99.68952 100.06498 100.25966  99.99000  99.97000  99.94999 100.24969 #>  [32915]  99.77475 100.03499  99.64437  99.90495 100.04999 100.31949  99.93998 #>  [32922]  99.82986  99.88994 100.03000  99.95999 100.13990 100.08496  99.99500 #>  [32929] 100.50871  99.64437  99.59920 100.20479 100.06998  99.62931 100.27462 #>  [32936]  99.98500  99.75971 100.17984 100.00500  99.39819 100.60318 100.57833 #>  [32943]  99.98000 100.17984 100.00500  99.80481  99.71459  99.78978 100.49876 #>  [32950] 100.12492  99.68952 100.16986 100.07497  99.87492 100.07497 100.29955 #>  [32957]  99.94498  99.65440  99.79980  99.93998 100.53358 100.27462 100.02000 #>  [32964]  99.76472  99.64437 100.03499 100.05498  99.87993  99.73465  99.70958 #>  [32971]  99.82986 100.08996 100.31451  99.78477  99.73966 100.35935  99.62429 #>  [32978] 100.17984  99.92497 100.41414  99.86491  99.89995 100.19980 100.23472 #>  [32985] 100.37430  99.85990 100.05498 100.30952 100.12992 100.00000 100.30454 #>  [32992]  99.67447 100.24969 100.03499 100.25468  99.91496  99.84488 100.30952 #>  [32999] 100.02000 100.17984  99.61928  99.97000 100.05998  99.61928 100.06498 #>  [33006]  99.66444  99.82485  99.90996  99.79479 100.24470  99.72462  99.71459 #>  [33013]  99.70958 100.06998  99.66945 100.09495  99.59920 100.29955  99.92998 #>  [33020] 100.37928  99.92497 100.01500 100.23971 100.14989  99.87492  99.69955 #>  [33027]  99.87993  99.93498 100.53358 100.24969  99.91496  99.96499 100.18483 #>  [33034]  99.97000  99.65440  99.92998  99.64939 100.08496 100.23472 100.19980 #>  [33041] 100.08996  99.63433 100.64790 100.07997 100.08996 100.42410  99.66444 #>  [33048] 100.53855  99.74467  99.87993 100.00000 100.13990 100.07497  99.93998 #>  [33055] 100.18483  99.85489 100.19481 100.22974  99.63433 100.23472  99.87492 #>  [33062] 100.04499 100.41912  99.66945 100.17485 100.31949 100.15987  99.73465 #>  [33069]  99.49372 100.03499 100.33942 100.42410  99.70958 100.15488 100.14490 #>  [33076]  99.94498 100.56341  99.87993  99.69955  99.64437 100.36932 100.31949 #>  [33083]  99.80982  99.69955  99.68450 100.03499  99.84989 100.34939 100.19980 #>  [33090]  99.53894  99.91997 100.32946 100.02500 100.21976  99.93498 100.10994 #>  [33097] 100.29955 100.21976 100.49378 100.73232  99.47361  99.76973 100.32946 #>  [33104] 100.55844 100.20978  99.70958 100.20479  99.65440 100.37928  99.74467 #>  [33111] 100.03499 100.05498 100.39422 100.27961 100.61312  99.99500  99.94498 #>  [33118] 100.01500 100.24470  99.88994  99.77976 100.31451 100.48881 100.09495 #>  [33125] 100.58330 100.32946 100.24470 100.06998 100.09995  99.91496 100.87616 #>  [33132]  99.86491 100.30952 100.11493 100.17984 100.36434 100.43406  99.68952 #>  [33139] 100.39920  99.66444  99.52889 100.08496  99.88994  99.97000 100.23472 #>  [33146] 100.88112  99.60422  99.42334 100.00000 100.31451 100.17984 100.25966 #>  [33153] 100.36932 100.18982 100.03999  99.98500 100.61312 100.16486 100.55844 #>  [33160] 100.34939 100.38426 100.54850 100.16486  99.93498 100.01500 100.19980 #>  [33167]  99.98000  99.86491 100.43406 100.11993  99.91997  99.90495 100.13990 #>  [33174]  99.86491 100.49378  99.78477  99.66444 100.03999 100.32946 100.13491 #>  [33181]  99.47864 100.42908 100.20479  99.95499  99.80481  99.97000 100.27961 #>  [33188] 100.66280  99.79479 100.14490  99.75470  99.97000 100.16486 100.36932 #>  [33195] 100.46392 100.21477  99.74467 100.65287 100.18483  99.88994  99.85990 #>  [33202]  99.62429  99.69955  99.72963  99.92998 100.34441  99.98500  99.63935 #>  [33209] 100.25468 100.16986 100.22475 100.18982 100.20479 100.06498 100.03499 #>  [33216] 100.12992 100.26465  99.78477  99.78477 100.25468 100.01500 100.30454 #>  [33223] 100.07997  99.99000 100.18982  99.91997  99.53894 100.12992  99.87993 #>  [33230]  99.32271 100.29457 100.54850 100.13990  99.89995 100.48881 100.17485 #>  [33237] 100.17984  99.85990  99.54898  99.82485  99.36800  99.78477 100.29457 #>  [33244] 100.23472 100.02000 100.15987  99.62931  99.77475  99.80481  99.92998 #>  [33251]  99.91496  99.82485 100.48881  99.99000  99.45351 100.16986 100.44401 #>  [33258] 100.15987 100.12492  99.87492 100.50373 100.36434  99.65440  99.67949 #>  [33265]  99.78978 100.07997 100.49876 100.34441  99.83987 100.05498  99.91496 #>  [33272] 100.04999 100.05998  99.99000  99.54396  99.77976 100.01000  99.89995 #>  [33279]  99.84488  99.76472  99.86491 100.50373 100.37430 100.35437  99.91496 #>  [33286] 100.33444  99.63935  99.92998  99.44848  99.52387  99.86992 100.22974 #>  [33293] 100.32946 100.00500 100.07997 100.30952 100.03000  99.59418  99.82485 #>  [33300]  99.45351  99.54898 100.12992  99.60422  99.95999 100.30454  99.92497 #>  [33307]  99.78477 100.11993 100.14989 100.06498  99.98500  99.64437  99.86491 #>  [33314] 100.78690 100.45397  99.91496 100.03499 100.28460  99.48869 100.07997 #>  [33321] 100.25468  99.47361 100.03999  99.73966  99.54396  99.57409 100.34441 #>  [33328] 100.13491  99.62931 100.03000 100.16486  99.34787  99.63935 100.47885 #>  [33335]  99.71961  99.77976 100.03499  99.77475  99.83987  99.72963  99.62931 #>  [33342]  99.74969 100.25468  99.76472  99.85489 100.09495 100.22475 100.14989 #>  [33349]  99.82485  99.91496 100.40916 100.36932  99.93998  99.74467  99.54898 #>  [33356]  99.98000 100.36434  99.76973 100.03000 100.02000  99.82986  99.70958 #>  [33363] 100.38924  99.49372 100.45895 100.02000  99.97500  99.46356 100.29955 #>  [33370]  99.58414  99.99500 100.04999 100.06998 100.26964  99.45351 100.15488 #>  [33377] 100.09495 100.46392 100.09995 100.28958  99.98000 100.13990 100.15488 #>  [33384] 100.06998 100.62803 100.28958  99.62931 100.03999 100.21477 100.11993 #>  [33391] 100.15488  99.66444  99.69955 100.28958 100.08996  99.62931  99.72462 #>  [33398] 100.75713 100.00000 100.15987  99.85990  99.87993  99.65942  99.75470 #>  [33405] 100.25966 100.11493 100.22974 100.11993  99.86992  99.78978  99.74969 #>  [33412]  99.83987  99.57911 100.30952 100.15488 100.16986 100.03000 100.58827 #>  [33419] 100.13491 100.65784  99.71961  99.97000 100.44401 100.36434 100.08496 #>  [33426]  99.74467 100.24969 100.22974 100.19481 100.60815  99.78978 100.10494 #>  [33433]  99.51884 100.09995 100.11993 100.10994  99.94498 100.16986 100.51865 #>  [33440]  99.84989 100.06498  99.77976  99.82485  99.96499  99.57409  99.89995 #>  [33447] 100.08996  99.51884 100.13491 100.50373  99.64437  99.85990 100.21976 #>  [33454]  99.81483 100.41414 100.42908  99.64437  99.60422 100.30454  99.97500 #>  [33461] 100.12492  99.44345  99.88493 100.45397  99.79479 100.19481 100.19980 #>  [33468] 100.23472  99.96499  99.59920  99.63433  99.67949 100.05998  99.80481 #>  [33475]  99.82986 100.03999  99.59920 100.16986 100.37430 100.05498 100.55844 #>  [33482] 100.22974 100.32447 100.09495 100.15987 100.17984 100.23472  99.39819 #>  [33489]  99.44848  99.85990  99.89494 100.23472  99.91496  99.95499 100.08996 #>  [33496]  99.80481 100.42410  99.96499 100.47388 100.32447  99.54898  99.68450 #>  [33503] 100.06498  99.80481  99.80982  99.93498  99.62931  99.94498 100.46392 #>  [33510] 100.42410  99.59920  99.47864  99.83987 100.00500  99.91496  99.89494 #>  [33517]  99.80481  99.94498 100.22974  99.67949 100.09995  99.76472 100.40916 #>  [33524]  99.83486  99.80481  99.87993 100.36434 100.02000 100.35935 100.26964 #>  [33531] 100.17485 100.37928 100.06998  99.74969 100.11993 100.04499 100.39422 #>  [33538]  99.98000 100.15987  99.94498  99.95499  99.76472  99.82986 100.06998 #>  [33545]  99.95999 100.18483 100.26465 100.02500 100.10994  99.97000 100.12492 #>  [33552]  99.85489  99.73966 100.65287  99.98000 100.83650  99.69955  99.74467 #>  [33559]  99.54898  99.49874  99.65942 100.03000 100.04499 100.06998  99.79479 #>  [33566] 100.13491 100.12992  99.89494 100.06998 100.05998 100.14989 100.20479 #>  [33573]  99.76472 100.50373  99.99500 100.08496  99.98500 100.28460  99.98500 #>  [33580] 100.22974 100.20479 100.32946  99.67447  99.89995  99.81483 100.50373 #>  [33587]  99.72963 100.28958 100.38924 100.29955  99.90996 100.07497 100.57336 #>  [33594]  99.85990  99.52889 100.16986 100.17485  99.52889  99.79479  99.88493 #>  [33601] 100.29457  99.84488  99.87993 100.39422  99.66945 100.15488  99.97500 #>  [33608]  99.62931  99.93498 100.34441 100.71246 100.02000  99.47361  99.72963 #>  [33615]  99.96499  99.79980  99.91997 100.24969  99.93998  99.86992 100.40418 #>  [33622] 100.43904  99.95999  99.70456 100.11493 100.12992  99.83486 100.42410 #>  [33629]  99.38310  99.90495 100.34939 100.01000 100.22974 100.57336 100.16486 #>  [33636]  99.89494 100.15488 100.07497 100.11993 100.22974 100.46392 100.44899 #>  [33643]  99.72963 100.73728 100.24470  99.32271 100.26964  99.81984  99.67447 #>  [33650]  99.62429 100.55844 100.11493 100.18982 100.12492  99.92998  99.91997 #>  [33657]  99.33781  99.91997  99.75470  99.91997  99.84989  99.62429 100.33942 #>  [33664] 100.21976  99.68952 100.09495 100.28958 100.03000  99.51382 100.25966 #>  [33671] 100.03499  99.73966 100.11493  99.92497 100.45895 100.12992  99.85990 #>  [33678] 100.38426 100.40916  99.91997  99.74969 100.17485 100.56341 100.27462 #>  [33685] 100.13491 100.48881 100.59821  99.86491  99.42837  99.69453  99.56907 #>  [33692] 100.35935  99.82986 100.18483  99.56907 100.06998  99.90495  99.72963 #>  [33699]  99.98500 100.30952 100.15488 100.03999 100.02500  99.54898 100.47885 #>  [33706] 100.14490  99.45351  99.58916  99.65440 100.44401  99.82485  99.73465 #>  [33713]  99.63433  99.95499  99.94999  99.81984 100.21477  99.32271 100.19980 #>  [33720] 100.07497 100.27462 100.22475 100.41414 100.42908  99.60422 100.09495 #>  [33727] 100.12992 100.04499 100.04999 100.09995 100.43406  99.85489 100.02500 #>  [33734] 100.07497  99.90996 100.10494 100.37430 100.22475  99.64939  99.50377 #>  [33741] 100.61809 100.68267  99.98500  99.88994  99.78477  99.99500 100.41414 #>  [33748] 100.22974 100.25966  99.97000  99.64939  99.28243 100.58330  99.82485 #>  [33755]  99.72963 100.08496  99.92998  99.92497  99.79980 100.40418 100.23971 #>  [33762]  99.99500  99.91997 100.10994 100.17485 100.11993  99.60422 100.05498 #>  [33769]  99.99000 100.40916 100.17984  99.94498 100.03000 100.68764  99.73966 #>  [33776]  99.97500 100.28958 100.51368  99.86491 100.20479  99.81483 100.13990 #>  [33783] 100.13491  99.70958 100.16486  99.73465 100.08496  99.75971 100.13990 #>  [33790] 100.20978 100.00000 100.30952 100.03000 100.53855 100.12992  99.88493 #>  [33797] 100.32946 100.17485 100.31949 100.57833 100.28460  99.48869  99.97000 #>  [33804]  99.77976  99.79479 100.42410  99.94498  99.44848  99.83987 100.01000 #>  [33811]  99.80982 100.12492  99.73465  99.59920 100.02000  99.81984 100.28958 #>  [33818]  99.76973  99.72462 100.56341  99.55903 100.11993  99.66945  99.99500 #>  [33825] 100.01000  99.91997 100.03499  99.70958 100.51865  99.91496  99.92998 #>  [33832]  99.90495 100.15987 100.01000  99.86491 100.12492 100.03000  99.99000 #>  [33839]  99.99000 100.36932 100.75217 100.18483 100.49876 100.17485  99.50879 #>  [33846]  99.84989 100.55347 100.33444  99.91496  99.87492 100.03499 100.30454 #>  [33853]  99.84488  99.64437  99.77976 100.18982  99.38310  99.59920  99.94498 #>  [33860] 100.02500 100.60318  99.52387  99.67447 100.57833  99.60924 100.01500 #>  [33867]  99.92497 100.31949  99.79980  99.82485  99.82986  99.75470 100.13491 #>  [33874] 100.37928 100.31949  99.78978  99.84989  99.98000 100.14989 100.13491 #>  [33881] 100.02000 100.25468  99.69453 100.20479 100.58827  99.67949  99.97500 #>  [33888]  99.64437  99.91496 100.04999  99.72963 100.13491  99.66444 100.82658 #>  [33895] 100.16986 100.39422 100.19980 100.09495 100.33444  99.91997 100.12992 #>  [33902]  99.91997 100.35935 100.29457 100.39422 100.22974 100.26964 100.07997 #>  [33909]  99.84488 100.07997 100.09995 100.13990  99.34787  99.59418 100.10494 #>  [33916]  99.89995  99.83987  99.56907 100.14490 100.12492  99.99000 100.16986 #>  [33923] 100.24969  99.78978  99.80481  99.88994  99.91997  99.37807  99.86992 #>  [33930] 100.40418 100.01000  99.99500 100.59821  99.91997 100.11493 100.50871 #>  [33937] 100.21477 100.18982  99.39316 100.13990  99.89494  99.74467  99.47361 #>  [33944] 100.29457 100.33444  99.76973 100.09995  99.82485  99.70958  99.61426 #>  [33951]  99.72462  99.80481 100.10994 100.52860 100.22974  99.89995 100.13491 #>  [33958] 100.09995  99.74969 100.21477 100.14490 100.08996 100.07997  99.67949 #>  [33965]  99.69955  99.73966 100.37430 100.09495 100.03000  99.78978  99.83987 #>  [33972] 100.07997  99.62931 100.51368  99.95499 100.47885  99.56405  99.93498 #>  [33979]  99.90996 100.36932  99.39819 100.34441 100.48881 100.10994  99.78477 #>  [33986]  99.40825  99.39819 100.08496 100.23971  99.90996  99.91496 100.25468 #>  [33993]  99.72462  99.82986 100.15987  99.84488  99.38813 100.03000  99.78477 #>  [34000] 100.04999 100.18483 100.00000 100.18982  99.80982  99.93998  99.99500 #>  [34007]  99.58916 100.65287  99.91997 100.39920  99.78477 100.23472  99.56405 #>  [34014] 100.01500 100.32447 100.30952  99.83987 100.06498 100.32447 100.38924 #>  [34021] 100.10994 100.00000 100.35437  99.89494 100.64790  99.44848  99.84488 #>  [34028]  99.90996  99.90996 100.03999 100.15987 100.42410  99.82485  99.71961 #>  [34035]  99.70958  99.84488 100.03999 100.14490  99.89995 100.41912  99.68952 #>  [34042] 100.04499  99.62429  99.80982 100.00000 100.47388  99.79980  99.83486 #>  [34049] 100.02000 100.36932  99.65440 100.48383 100.18483  99.94999 100.40916 #>  [34056]  99.98500 100.20978  99.53391  99.79479  99.63433 100.16986 100.02000 #>  [34063] 100.34939 100.15987 100.29955  99.97000 100.05498  99.88994  99.85489 #>  [34070]  99.37807  99.64939 100.14490  99.63935 100.22974 100.17485  99.53894 #>  [34077]  99.74969  99.64939  99.75971  99.74467  99.61426 100.50871  99.93498 #>  [34084] 100.29955  99.87492 100.04499 100.15488 100.19980 100.08496  99.65942 #>  [34091] 100.30952 100.13491  99.47864 100.14989 100.01000 100.38426 100.34939 #>  [34098]  99.92998  99.92497  99.91997  99.98500  99.81984 100.05998  99.55903 #>  [34105]  99.61928 100.00000  99.98000  99.52889 100.22475 100.03999  99.80982 #>  [34112] 100.02000  99.90495 100.37430 100.23472 100.09995 100.24470 100.02000 #>  [34119]  99.81483  99.75971  99.39316  99.64939 100.47885 100.26964 100.24470 #>  [34126] 100.16986 100.12992 100.21976  99.82485 100.10494 100.06998  99.87993 #>  [34133] 100.31949  99.62931 100.54352  99.67949 100.56838  99.99000 100.03999 #>  [34140] 100.10494 100.45895  99.58916 100.31949 100.18483  99.69955 100.13990 #>  [34147]  99.97500 100.15987 100.38924 100.24470  99.72963 100.18982  99.79479 #>  [34154]  99.70958  99.76973 100.12992 100.30454  99.93498  99.31767  99.80481 #>  [34161]  99.84989  99.86491  99.93998  99.70958  99.98000 100.09995 100.03999 #>  [34168]  99.89494 100.11993 100.13491 100.21477  99.94498  99.87492  99.55903 #>  [34175] 100.06998  99.92497  99.61928  99.97000  99.81483  99.87492 100.05998 #>  [34182] 100.37928  99.62429 100.47885 100.24470 100.00000 100.22475 100.69757 #>  [34189]  99.53894  99.77976 100.18982 100.16986  99.92998 100.33444  99.38310 #>  [34196]  99.93998  99.76973 100.06498 100.15488 100.08496 100.37430 100.39422 #>  [34203]  99.65942 100.04999  99.98500 100.13491  99.53391  99.52889  99.64939 #>  [34210] 100.29955  99.97500 100.33444  99.95999  99.60422  99.53391 100.60815 #>  [34217]  99.74969  99.71459  99.92497 100.28958  99.81984 100.40916 100.06998 #>  [34224]  99.71961 100.35935 100.30952  99.45351  99.62429 100.03999 100.00500 #>  [34231] 100.30952 100.07497 100.76706 100.05498 100.33942 100.14989 100.16986 #>  [34238]  99.65440 100.31949 100.09495  99.46859  99.73966 100.35935  99.48869 #>  [34245]  99.92497 100.49876  99.85990  99.69453 100.11993 100.11993  99.74467 #>  [34252]  99.45853  99.83987 100.34939  99.84488 100.37430  99.86491 100.63300 #>  [34259]  99.38310  99.97500 100.26964 100.22475  99.98000 100.37928  99.76472 #>  [34266] 100.15488  99.77976  99.72963  99.78477 100.44401 100.20978  99.57409 #>  [34273] 100.26465  99.84989  99.77976 100.39920  99.50879 100.38426  99.70958 #>  [34280] 100.04499  99.85489 100.17984 100.15488 100.42410 100.37430  99.80982 #>  [34287] 100.10494  99.85489 100.80179  99.79980 100.12492 100.85633  99.93998 #>  [34294] 100.07497 100.32946 100.02500  99.77475  99.55903 100.09995 100.09495 #>  [34301] 100.20978 100.58330  99.59920 100.14989 100.15488  99.93498  99.68952 #>  [34308]  99.97500  99.69955 100.27961  99.62931  99.64939 100.28460 100.06998 #>  [34315]  99.90996 100.12492  99.21189  99.80481 100.00500 100.42410  99.83486 #>  [34322] 100.40418 100.25966  99.52387  99.95499  99.58414 100.19980  99.86992 #>  [34329]  99.88994  99.73966  99.90996  99.73465 100.12992  99.91997  99.97000 #>  [34336]  99.68450 100.43904  99.94999 100.34939 100.12492 100.20479  99.80481 #>  [34343] 100.14989 100.34441 100.13990 100.10994  99.72462  99.77475 100.39920 #>  [34350]  99.85990  99.64437 100.36932 100.02500  99.80481 100.12492  99.96499 #>  [34357]  99.63935 100.00500 100.12992 100.10994  99.68952 100.01000  99.72462 #>  [34364] 100.22475  99.86491 100.07497  99.82485 100.41912  99.76973  99.92998 #>  [34371] 100.04499  99.69453  99.39819 100.17984 100.59821 100.02000 100.10494 #>  [34378]  99.97000  99.94999 100.21976  99.75971 100.06998  99.84989  99.96499 #>  [34385] 100.63797  99.95999  99.54898 100.22475 100.03000 100.30952 100.10994 #>  [34392]  99.68450 100.12492 100.04999  99.94498 100.43904 100.35437 100.38924 #>  [34399]  99.95499  99.99000 100.23971 100.03999 100.76706 100.36932 100.16986 #>  [34406] 100.25468  99.87993 100.12492 100.04999 100.47388  99.91496  99.77475 #>  [34413] 100.18982  99.67447  99.67949 100.30952  99.85489  99.92497 100.28958 #>  [34420]  99.98000  99.43842 100.15488 100.04499 100.54352  99.81984 100.37430 #>  [34427] 100.44401  99.93998  99.67447  99.98000  99.72963  99.72462 100.39920 #>  [34434] 100.27961  99.95999 100.22475 100.04499  99.91496  99.97000  99.66444 #>  [34441] 100.04499 100.21976 100.03999 100.12492  99.95499 100.03000 100.02500 #>  [34448]  99.73966  99.54898 100.14989  99.67949 100.20479 100.14490  99.91496 #>  [34455] 100.05498  99.78978 100.17485 100.18982 100.32946  99.90996 100.03000 #>  [34462]  99.94999 100.53855 100.13990  99.80481  99.85489  99.76973 100.01000 #>  [34469]  99.98500  99.51382  99.94498 100.34441  99.97000 100.33444  99.91997 #>  [34476]  99.80982 100.13990 100.05498 100.06998  99.86491  99.51382  99.42334 #>  [34483] 100.13990 100.02500  99.52889 100.52860 100.43406  99.75971  99.77976 #>  [34490]  99.65440 100.01000  99.95999  99.62429  99.93998  99.47361 100.17984 #>  [34497]  99.99000  99.75470  99.62931  99.62429 100.36932  99.86992  99.38310 #>  [34504] 100.17485 100.05498 100.02000  99.52387  99.88994 100.14490  99.92998 #>  [34511] 100.28460 100.10494 100.48881 100.18483  99.67447  99.92497 100.00500 #>  [34518] 100.00000 100.05498 100.05498  99.64939  99.89995  99.92998  99.93498 #>  [34525] 100.10994 100.55844 100.28958 100.38924  99.75470 100.56838 100.07497 #>  [34532]  99.80481  99.69453 100.18982  99.68952  99.58414 100.18483 100.02000 #>  [34539]  99.84989 100.07997  99.81483 100.24969  99.82485 100.06998 100.01000 #>  [34546]  99.51382 100.44401 100.01500 100.30454 100.03499  99.98500 100.12492 #>  [34553]  99.76973 100.18483 100.13491 100.25468 100.17485 100.27961 100.13491 #>  [34560]  99.93998  99.58414 100.35437  99.93498 100.11993 100.11993  99.59418 #>  [34567] 100.15987 100.07997  99.87993  99.85990 100.04499 100.04499  99.43339 #>  [34574] 100.22475 100.04499 100.01000  99.83486 100.12492 100.04999 100.19980 #>  [34581]  99.83987 100.08996  99.82485 100.35935 100.12992  99.89995  99.93498 #>  [34588] 100.06998 100.42410 100.27961 100.34441  99.82986 100.05998 100.15987 #>  [34595]  99.97500  99.30257  99.43339  99.88493 100.17485  99.67447  99.58916 #>  [34602]  99.57911 100.44899 100.91581  99.91997  99.99000  99.69453  99.70958 #>  [34609]  99.41831  99.94999  99.45853  99.98500 100.19481 100.19980 100.05498 #>  [34616] 100.32946  99.62931  99.20685 100.66280 100.07997  99.72963  99.81984 #>  [34623] 100.28958  99.41831 100.08996 100.22475  99.88493  99.68952 100.31949 #>  [34630] 100.03000 100.19481  99.85990 100.03499 100.84146 100.00500 100.01500 #>  [34637] 100.26964 100.17485  99.75971  99.84989 100.53855  99.73966 100.23971 #>  [34644] 100.11993  99.84989 100.11993 100.09995  99.55401 100.25966 100.24470 #>  [34651]  99.54898 100.17485  99.43339 100.13990 100.31451 100.44899  99.75971 #>  [34658] 100.13491  99.83987  99.48367 100.11493 100.40916  99.45853 100.54352 #>  [34665]  99.90495 100.30952 100.05498 100.10494  99.96499 100.04499 100.00500 #>  [34672]  99.88493  99.71961  99.80982 100.13491  99.44345  99.91496  99.90495 #>  [34679] 100.10494  99.87492  99.82485 100.03499 100.07497  99.82986 100.15488 #>  [34686]  99.60924 100.06498  99.89494 100.06498 100.09495 100.09495 100.21976 #>  [34693]  99.69453  99.83486  99.60422 100.21976 100.00500 100.20978  99.64939 #>  [34700] 100.02000 100.58330  99.82485 100.03999  99.57409  99.90495  99.59418 #>  [34707]  99.86992  99.96499  99.73966 100.05498  99.87492  99.56907  99.80481 #>  [34714] 100.03000 100.25468 100.62803 100.62803 100.24470  99.92497  99.61426 #>  [34721] 100.11993  99.80481 100.17984 100.47388 100.01500 100.04499  99.41831 #>  [34728]  99.90996 100.08996  99.55903 100.27462 100.04499 100.11993  99.98000 #>  [34735] 100.06998 100.10494 100.11493  99.82986  99.90495 100.20479 100.43904 #>  [34742] 100.22475  99.75971  99.93498 100.22974 100.33942 100.14490  99.90495 #>  [34749] 100.23472 100.57833  99.49874 100.15488  99.67447  99.78978  99.71459 #>  [34756] 100.13990 100.08996 100.32946  99.89494 100.09495  99.84989  99.85990 #>  [34763]  99.90996 100.26465  99.76973  99.88994 100.43904 100.13990 100.33942 #>  [34770] 100.34441  99.95999 100.53855 100.04499  99.79980 100.02500 100.02500 #>  [34777]  99.87492  99.99000 100.21976  99.73465 100.30454 100.35935  99.81483 #>  [34784]  99.53391  99.95499 100.02000 100.01500  99.86992 100.28460 100.11493 #>  [34791] 100.57833  99.89494 100.15987  99.89494 100.17984  99.75470  99.60924 #>  [34798]  99.76973  99.61426 100.39422 100.03999 100.24969  99.78477 100.14490 #>  [34805]  99.32271 100.24969 100.14989 100.32946 100.08496  99.98000 100.49876 #>  [34812] 100.11493  99.33277  99.98500  99.07573  99.89995  99.88493 100.09995 #>  [34819]  99.91496  99.92497  99.64437 100.14490  99.97500  99.64939 100.20978 #>  [34826]  99.58916 100.39422  99.83486 100.09495  99.90996 100.18483  99.83987 #>  [34833] 100.60318 100.68764 100.25966 100.34939 100.46392  99.84989  99.72963 #>  [34840] 100.03999 100.40418 100.35935  99.72963  99.83987  99.91496  99.68952 #>  [34847]  99.45351  99.93998  99.62931  99.88994 100.23472  99.84989 100.49378 #>  [34854]  99.88994 100.01500  99.73465 100.00500  99.93498  99.58414 100.03000 #>  [34861] 100.34939 100.15488 100.45895 100.74721  99.87993  99.68450 100.25468 #>  [34868]  99.99000  99.78978  99.96499  99.81483  99.44345  99.96499 100.00000 #>  [34875] 100.02500 100.16986 100.06498  99.94498  99.82485  99.62429 100.15987 #>  [34882] 100.07497  99.98000  99.40322  99.56907 100.08496 100.22475  99.54396 #>  [34889] 100.13990 100.12492  99.93998  99.45853  99.77976  99.85990  99.80982 #>  [34896] 100.51368 100.07997  99.99000  99.57911 100.64790  99.99000 100.12492 #>  [34903]  99.69955 100.16486  99.98500  99.83486 100.23971 100.09995  99.72963 #>  [34910]  99.85990 100.25468 100.09495 100.11993  99.99500  99.64939 100.21477 #>  [34917] 100.06998 100.47885  99.38310  99.99000 100.03499 100.07997 100.28460 #>  [34924]  99.89494  99.66444 100.03499  99.36297 100.19481 100.02000 100.38426 #>  [34931] 100.14989 100.20479 100.12992  99.81483 100.02500  99.56907  99.59418 #>  [34938] 100.49378 100.07997 100.04999 100.50871 100.00500  99.87993  99.86992 #>  [34945] 100.35437  99.58916  99.92998 100.04499  99.71961 100.52860 100.39920 #>  [34952]  99.80982  99.91997 100.33942 100.00000  99.52387 100.05998 100.03499 #>  [34959] 100.47885  99.94999 100.01000  99.99500 100.20978 100.21477  99.75971 #>  [34966] 100.19980 100.21976  99.76973 100.66777  99.80481 100.39920  99.97500 #>  [34973]  99.79980  99.50879 100.15488 100.24969  99.70456  99.67447  99.97000 #>  [34980] 100.13491 100.03999  99.92497  99.49874  99.52889  99.98000 100.25468 #>  [34987] 100.25468 100.23472 100.30454  99.92497  99.80982 100.27961  99.80982 #>  [34994] 100.00000  99.85990 100.13491  99.74969  99.69453 100.13491 100.13491 #>  [35001] 100.05498  99.57409  99.86992 100.20479 100.19980 100.33444  99.50879 #>  [35008]  99.66945 100.27462 100.17485 100.04999 100.21477 100.44899 100.27961 #>  [35015] 100.04999  99.92497  99.89995  99.74467 100.15488 100.15987  99.89494 #>  [35022] 100.03499 100.28460  99.66945 100.22974 100.43904 100.36932  99.76472 #>  [35029] 100.37928 100.26964 100.29955  99.73966 100.18483  99.80481  99.95999 #>  [35036]  99.40825 100.34441  99.86491  99.85489  99.60924  99.61928 100.01500 #>  [35043]  99.81984  99.91997  99.61426 100.24470  99.89995  99.81984  99.72963 #>  [35050] 100.09995 100.52860 100.24969  99.91997  99.97500 100.06498  99.35291 #>  [35057] 100.22974  99.89494 100.34939 100.04999  99.91997 100.09495 100.25966 #>  [35064]  99.91496  99.94498  99.61928  99.57911  99.50879  99.64939 100.36434 #>  [35071]  99.99500  99.93998 100.03499 100.04999  99.83987 100.01500  99.48869 #>  [35078]  99.94999 100.04999 100.10994  99.71459 100.16486  99.97000  99.99500 #>  [35085]  99.79980 100.02500  99.83987 100.27961  99.73966 100.29457  99.83987 #>  [35092] 100.30952 100.02500 100.12492  99.70456 100.24470 100.14989 100.60318 #>  [35099] 100.19481 100.22475  99.78477 100.31949  99.69453  99.96499 100.04999 #>  [35106] 100.15987  99.77976 100.17984 100.02000  99.73966 100.17485 100.14989 #>  [35113]  99.81984  99.72462  99.88493  99.87492  99.91496 100.21976  99.72462 #>  [35120]  99.65942  99.29250 100.31949  99.94498 100.60318 100.03499 100.33444 #>  [35127] 100.18982 100.05998 100.18982 100.22475 100.25468  99.88994 100.37430 #>  [35134]  99.97000 100.08496  99.76973 100.20479  99.86491  99.84989  99.79479 #>  [35141]  99.83987 100.26964 100.43406  99.51884 100.00000 100.15987 100.32946 #>  [35148]  99.96499  99.91496 100.43904  99.95999  99.51382 100.01500  99.54396 #>  [35155]  99.94498 100.18483  99.62429  99.72462 100.31949  99.50377  99.89995 #>  [35162]  99.55401  99.68450  99.88994  99.41831 100.01000  99.58414  99.75470 #>  [35169] 100.79186  99.64437 100.04999 100.35437  99.48367  99.98500 100.42908 #>  [35176]  99.90996  99.90495  99.74467  99.62429 100.33942 100.25966  99.98000 #>  [35183]  99.88493  99.99000  99.56907  99.68952 100.41912 100.39422  99.77475 #>  [35190]  99.91997  99.98000 100.15488  99.60422 100.09995  99.89494 100.43406 #>  [35197] 100.18483 100.11993  99.26732  99.84989 100.41912  99.79479  99.79479 #>  [35204]  99.72462 100.17485 100.06498 100.03000 100.00000 100.16486  99.92998 #>  [35211]  99.81984 100.54850  99.50879  99.64939 100.09495  99.76472  99.72963 #>  [35218] 100.17984  99.75470  99.84989  99.73465  99.46859  99.51884 100.00500 #>  [35225] 100.12992  99.55401  99.88493  99.71459  99.89494  99.96499  99.67949 #>  [35232] 100.32946  99.77976 100.02000  99.84989 100.22974 100.12992 100.28460 #>  [35239] 100.01500  99.69453  99.45853 100.07497  99.84989  99.70958  99.69453 #>  [35246] 100.08996 100.37430  99.65942 100.14490  99.88493  99.75470 100.09995 #>  [35253] 100.51865  99.79479  99.76973 100.33942 100.40916 100.50373  99.82485 #>  [35260]  99.90495 100.39422  99.59920 100.00000 100.15488 100.75217  99.48367 #>  [35267] 100.45895  99.94999 100.39920 100.32447 100.67274  99.71459  99.97500 #>  [35274] 100.08496 100.22974  99.72462 100.09495 100.11493 100.16486  99.96499 #>  [35281] 100.23472 100.33444 100.12492  99.66444 100.23472  99.98500 100.24969 #>  [35288] 100.09995 100.25966  99.94498  99.81984  99.93498  99.98000  99.62429 #>  [35295]  99.73465 100.57833 100.09495 100.56838  99.66945  99.81483 100.09995 #>  [35302]  99.77475  99.84989  99.72963  99.63433  99.53894  99.98000  99.73966 #>  [35309]  99.91496  99.86992 100.04499 100.11493 100.15987 100.39920  99.83486 #>  [35316] 100.25966 100.11493  99.86992 100.24470  99.66444 100.36434 100.42908 #>  [35323] 100.27961  99.90996 100.13491  99.37303 100.38924 100.11493  99.77475 #>  [35330]  99.80982 100.48383  99.93998 100.36434  99.72963 100.23971 100.63300 #>  [35337] 100.54850  99.84989  99.91997 100.00000 100.61312 100.35935  99.80481 #>  [35344] 100.07997  99.94999 100.29955  99.77976 100.34441 100.07997 100.06498 #>  [35351] 100.42410 100.00500 100.30952 100.10494 100.31949  99.61426  99.75470 #>  [35358]  99.51382 100.13990 100.13990 100.44899 100.05998 100.44401 100.05498 #>  [35365]  99.83987  99.59920 100.18982 100.01000 100.07497 100.09495  99.91997 #>  [35372]  99.88493 100.03999 100.07497  99.78477  99.53894 100.23472 100.18982 #>  [35379] 100.24969 100.04499 100.26465 100.10494 100.09995  99.63433 100.67770 #>  [35386]  99.38310  99.76472 100.10494 100.13990 100.18483 100.54850 100.26465 #>  [35393] 100.22974  99.65942 100.20978 100.16486  99.90996  99.92497  99.98500 #>  [35400] 100.53358  99.66945  99.63433  99.84488  99.78978 100.75713 100.36932 #>  [35407] 100.16486 100.43904  99.93998  99.56907  99.82986 100.21976 100.01000 #>  [35414] 100.41414  99.74969  99.67447  99.60422  99.80481  99.79479  99.74467 #>  [35421] 100.01000  99.92998  99.60422 100.07997  99.93498 100.03999 100.44899 #>  [35428] 100.02500  99.97000 100.07497  99.64939 100.11493  99.88493  99.82986 #>  [35435] 100.30454  99.51382 100.32447  99.91496  99.81483  99.68952  99.83987 #>  [35442]  99.65942  99.58414  99.78477  99.96499  99.86992  99.69453 100.10494 #>  [35449]  99.89494  99.71961 100.10494  99.92497  99.82485  99.95999  99.76973 #>  [35456]  99.64939 100.08496  99.69453  99.90996  99.64939 100.13491  99.30257 #>  [35463] 100.30454  99.80481  99.80982  99.94999 100.01500 100.20978 100.29955 #>  [35470] 100.04499 100.26964 100.05998  99.93998  99.87492 100.34939 100.35437 #>  [35477]  99.48367 100.37928  99.57911  99.70958  99.66945  99.47864  99.74969 #>  [35484] 100.43406  99.45853  99.47864 100.06998  99.94498  99.76973 100.04499 #>  [35491]  99.94498  99.92497  99.75470 100.33942  99.55903  99.33277  99.63433 #>  [35498] 100.18982  99.80481 100.02500 100.48383 100.43904  99.85990  99.56907 #>  [35505] 100.30454  99.83486  99.91997 100.19980 100.24470  99.34787  99.86491 #>  [35512]  99.91496  99.87993 100.55844 100.01000 100.03000  99.55903 100.25468 #>  [35519] 100.11493 100.59324 100.32946  99.80982 100.09995 100.05498  99.93998 #>  [35526]  99.91997  99.79479 100.16986  99.64437 100.13491 100.33942 100.47388 #>  [35533]  99.76472  99.69955 100.15987  99.60924  99.67949 100.62306 100.25966 #>  [35540] 100.36932 100.03999  99.70456  99.69955 100.64293 100.17984 100.21976 #>  [35547]  99.64939 100.50871 100.72239  99.66945 100.05498 100.01500  99.98000 #>  [35554]  99.78978  99.69955 100.30454 100.26465 100.05998 100.05498  99.77475 #>  [35561]  99.91496  98.99495 100.32946 100.02000 100.22974 100.47885 100.12492 #>  [35568]  99.66945 100.03499  99.61928 100.21976 100.06998  99.76973  99.61426 #>  [35575] 100.06498  99.66945 100.48881 100.14989 100.35935 100.12992  99.87492 #>  [35582] 100.18982  99.94999  99.72462  99.97000  99.90495 100.02500  99.77475 #>  [35589] 100.05498  99.49372  99.91496 100.09995  99.48869 100.30952  99.98000 #>  [35596]  99.46356  99.69955 100.04999  99.61928  99.73966  99.48869 100.37928 #>  [35603]  99.59418  99.63433  99.93498 100.04999  99.91496 100.20479  99.93998 #>  [35610] 100.40916 100.04499 100.45895 100.37430  99.43842 100.13990  99.87993 #>  [35617]  99.97500  99.75971 100.35437  99.84488  99.95999  99.85489  99.55903 #>  [35624] 100.13491  99.57911  99.99500  99.99000  99.58916 100.02000  99.78477 #>  [35631]  99.71961 100.07497  99.72963 100.38426 100.80179  99.94498 100.50373 #>  [35638]  99.75971  99.76472  99.86491  99.49874  99.72462  99.87492 100.49876 #>  [35645] 100.02500  99.93498  99.70456 100.37928  99.69955 100.58330 100.00000 #>  [35652]  99.68952 100.16486  99.98500 100.36932  99.85489 100.57833 100.24969 #>  [35659]  99.61426 100.03999 100.09495  99.60422  99.92497 100.30952 100.09495 #>  [35666]  99.85489 100.71246  99.97000 100.03999 100.15987 100.30454 100.36434 #>  [35673] 100.20479  99.77976 100.33444  99.68952  99.74467  99.85990  99.91997 #>  [35680] 100.66280 100.06998  99.83987  99.78477 100.17984 100.07497 100.45397 #>  [35687] 100.19481  99.83987 100.30952 100.10494  99.70456 100.03999  99.54898 #>  [35694] 100.16486  99.95499  99.76472 100.35437  99.71459  99.97000 100.46392 #>  [35701] 100.36932  99.72963 100.34441 100.21976 100.19980  99.74969  99.71459 #>  [35708] 100.46392  99.71459  99.96499  99.96499  99.95999  99.94498 100.56341 #>  [35715]  99.61928  99.74969 100.22475  99.51382  99.56405  99.81483  99.89494 #>  [35722]  99.79980  99.82485  99.94498 100.01000 100.32946  99.77976  99.90996 #>  [35729]  99.88994 100.23971  99.27739 100.31451 100.00500 100.64790  99.97000 #>  [35736] 100.24969 100.28958 100.57336 100.08496  99.90996 100.26964 100.16486 #>  [35743] 100.31949 100.03000 100.22974  99.76472 100.08996 100.20978 100.62803 #>  [35750] 100.04499  99.64939 100.17485  99.99000 100.32946  99.99500  99.83486 #>  [35757]  99.77475  99.43842 100.08496 100.23472  99.58414  99.50879 100.29457 #>  [35764]  99.85489 100.12992  99.98000 100.16486  99.68450 100.04999  99.84488 #>  [35771]  99.81483 100.04999  99.54898 100.10494 100.07997  99.62931  99.73465 #>  [35778] 100.10994  99.40825 100.16486  99.84488 100.71743  99.61928  99.62931 #>  [35785]  99.96499  99.68952 100.25966 100.14490 100.39422 100.13990  99.57409 #>  [35792]  99.72462  99.54396 100.24470  99.92998  99.82485 100.00500  99.92998 #>  [35799] 100.23971  99.96499 100.20978 100.00500  99.96499 100.45895 100.23472 #>  [35806]  99.74467  99.65440 100.35437 100.14989 100.19481  99.94498 100.07997 #>  [35813] 100.11993 100.08496  99.55401  99.95499 100.11493 100.04999  99.78477 #>  [35820]  99.64939 100.16986  99.99500  99.72963 100.03000  99.92497 100.20978 #>  [35827] 100.21976 100.38924 100.08996  99.79980 100.46392  99.89494  99.98500 #>  [35834] 100.31949 100.45895 100.12992  99.80982  99.76472 100.15987 100.04499 #>  [35841] 100.18982 100.45895  99.82986 100.02000  99.43842 100.42908  99.74467 #>  [35848]  99.47864 100.03000 100.15488 100.00500  99.85990 100.23472  99.60924 #>  [35855]  99.30257  99.81984  99.86992 100.41414 100.00000  99.81483 100.44401 #>  [35862] 100.49378  99.96499 100.13491 100.04499  99.68450 100.01500 100.21976 #>  [35869]  99.96499 100.29955  99.79479 100.25966  99.93998  99.74969 100.38924 #>  [35876] 100.10994 100.29955  99.60422  99.82986 100.20479 100.36434  99.78477 #>  [35883] 100.06998  99.93998 100.04499 100.31949  99.70456  99.97500 100.73232 #>  [35890] 100.25966 100.02500 100.47388 100.49378 100.12992  99.40825 100.10494 #>  [35897] 100.03499 100.16486  99.94498  99.65440  99.66444 100.43904 100.09995 #>  [35904] 100.25966 100.01000  99.93998  99.40825  99.55903 100.20978 100.11493 #>  [35911] 100.10994  99.95499  99.89494 100.01500  99.99000  99.68952 100.23472 #>  [35918]  99.88493 100.24969 100.02000  99.69453 100.00000  99.81984  99.86491 #>  [35925] 100.06498 100.22475 100.41414  99.98000  99.64939 100.31451  99.99000 #>  [35932] 100.78690  99.83987 100.22974 100.21976  99.87492 100.08496 100.02000 #>  [35939] 100.29457 100.22475 100.02000  99.80982 100.41414  99.88493 100.31949 #>  [35946] 100.03999  99.92998 100.29955 100.58330  99.84488 100.27462  99.82485 #>  [35953]  99.53391 100.15488  99.78978 100.06498  99.71961  99.73465 100.40418 #>  [35960] 100.36434 100.22475  99.76472  99.77475 100.43904 100.15488 100.09495 #>  [35967]  99.74467 100.31949  99.51884  99.69955  99.79479 100.04999  99.67949 #>  [35974] 100.11993  99.94999  99.55401 100.06498 100.42410 100.25468  99.97500 #>  [35981] 100.31451  99.71459 100.18982 100.48881 100.10994 100.07497 100.11493 #>  [35988] 100.07997  99.23205 100.04499 100.62306  99.84488 100.56838 100.53358 #>  [35995] 100.12492 100.00000  99.87993  99.66945  99.50879  99.83987  99.38310 #>  [36002]  99.75971  99.67447  99.42334  99.78477 100.20479  99.92998 100.60318 #>  [36009]  99.93998  99.69955 100.34441 100.03999 100.10494 100.07997 100.22475 #>  [36016] 100.19980  99.93998 100.33942  99.62931  99.70958 100.27961  99.99000 #>  [36023] 100.27462 100.05998  99.64437 100.41414 100.21976  99.95999  99.85990 #>  [36030]  99.80982 100.32946 100.63797  99.71459  99.74969  99.72462  99.50879 #>  [36037] 100.04999  99.66945  99.89995 100.25468 100.41414  99.98000 100.11993 #>  [36044] 100.15488  99.90495 100.20978 100.07497  99.99000  99.78978  99.86491 #>  [36051]  99.99000  99.99000  99.97000 100.70750 100.30952 100.20978  99.31264 #>  [36058]  99.94498  99.97000  99.58414 100.14490 100.00500  99.96499 100.03999 #>  [36065] 100.22475  99.80982  99.94498 100.18483  99.43842  99.97000  99.70958 #>  [36072] 100.17984  99.76472 100.13491 100.40916 100.03499 100.27961 100.13491 #>  [36079]  99.94498 100.21976  99.57409 100.64790 100.27462 100.40418 100.03999 #>  [36086] 100.66280 100.10494  99.89494  99.76973  99.70958  99.54396  99.85990 #>  [36093]  99.30257  99.63433 100.31451  99.50377  99.77976 100.46392 100.01000 #>  [36100] 100.62306  99.81483  99.36800 100.09995  99.83987 100.04999 100.32447 #>  [36107]  99.83987  99.78978 100.54352 100.11493 100.20479  99.70456 100.45397 #>  [36114]  99.91997  99.82485  99.84989 100.26964  99.77976 100.00000  99.95499 #>  [36121] 100.07497 100.28460  99.64437  99.70958  99.57911 100.36932  99.38310 #>  [36128]  99.93498 100.16486 100.22974  99.56907  99.88994 100.44899  99.21693 #>  [36135]  99.81984  99.93498 100.26964 100.08496  99.53391  99.93998 100.13491 #>  [36142] 100.29457 100.06998  99.20685 100.02500  99.50879 100.08996  99.93998 #>  [36149] 100.14490  99.79479 100.03999 100.19481 100.03499 100.44899  99.97500 #>  [36156] 100.27961  99.57911 100.03000 100.62306  99.88994  99.92497 100.44899 #>  [36163] 100.15987  99.69955 100.49876  99.44345 100.31949  99.50879 100.15987 #>  [36170]  99.70958 100.40916  99.84488  99.97000  99.79980  99.86491 100.12992 #>  [36177] 100.27961  99.95999  99.94498  99.90495 100.14490 100.43406  99.71459 #>  [36184]  99.91997  99.67447 100.16986 100.39920  99.90996  99.68952  99.74969 #>  [36191] 100.07497 100.10494  99.97000  99.94498  99.83486 100.13990  99.75971 #>  [36198]  99.83987  99.84989  99.97000 100.20978 100.52363  99.87993  99.44345 #>  [36205]  99.66444 100.00500 100.21477  99.58414  99.92497 100.52363  99.62931 #>  [36212] 100.18982 100.21976 100.20978  99.87993 100.06498  99.88994  99.82986 #>  [36219] 100.08496  99.75971 100.18982 100.04499 100.09995  99.74467 100.38426 #>  [36226]  99.79980  99.48869 100.27462  99.81984 100.09995 100.33942 100.29457 #>  [36233] 100.44401 100.06998 100.22974  99.75470  99.91496  99.59920 100.08496 #>  [36240] 100.11993 100.30952 100.23971  99.88994 100.07497  99.89494 100.10994 #>  [36247] 100.02500  99.49372 100.14989  99.90996 100.13990  99.86992  99.89995 #>  [36254] 100.02000  99.72462 100.09495 100.24470  99.89995  99.92497  99.96499 #>  [36261]  99.72462 100.44401  99.85489 100.32946 100.28958  99.81984 100.13990 #>  [36268] 100.04499 100.02500 100.04999 100.00500  99.84488 100.22475 100.46890 #>  [36275] 100.22475  99.51382 100.05998  99.91997 100.01500 100.04999  99.70456 #>  [36282] 100.43904  99.89995 100.08996 100.18982  99.66945 100.41912 100.37430 #>  [36289]  99.96499 100.13491 100.15987 100.23472  99.97500  99.79980 100.21477 #>  [36296] 100.28460  99.91997 100.26465 100.08496  99.71961  99.56405  99.89995 #>  [36303] 100.11993  99.94498 100.31949  99.83987 100.23971  99.84989 100.03000 #>  [36310]  99.98500  99.91997  99.85990  99.97000  99.98000 100.40418 100.55844 #>  [36317] 100.15488 100.06998 100.38924  99.84488 100.22974  99.60924  99.74969 #>  [36324] 100.10494  99.96499  99.88994  99.84989 100.17984 100.05998 100.63797 #>  [36331]  99.98500  99.87993 100.17485  99.89494 100.16486  99.79980 100.10494 #>  [36338]  99.81483 100.22974  99.85489 100.00500  99.68952 100.10494  99.58916 #>  [36345] 100.05498 100.03999 100.09495 100.37430 100.17485  99.85990  99.53894 #>  [36352]  99.83486 100.06498  99.70456 100.22974 100.17984 100.10494 100.39422 #>  [36359] 100.00000  99.78978  99.38813  99.79980 100.40418  99.64939 100.03499 #>  [36366]  99.66444 100.19980  99.52889 100.32946 100.37430 100.30952  99.61426 #>  [36373]  99.64939  99.87492 100.09995 100.52363 100.01000  99.61426 100.32946 #>  [36380]  99.91997 100.03999  99.78978  99.74969  99.84488 100.21477 100.20978 #>  [36387]  99.65942  99.38813  99.83987 100.12492  99.61426  99.90495 100.01500 #>  [36394]  99.90996  99.53894  99.76973 100.33942 100.11993  99.91997 100.13491 #>  [36401]  99.90495  99.92497 100.19980  99.96499 100.76210 100.05998 100.04499 #>  [36408] 100.25966  99.96499 100.35935  99.61928 100.02500  99.99000  99.59418 #>  [36415] 100.47885  99.52387 100.24470 100.17984  99.84488 100.43904  99.63433 #>  [36422]  99.59920  99.84488 100.18982  99.96499 100.26465 100.14490  99.40322 #>  [36429]  99.85990 100.21477  99.79479 100.16486 100.40418  99.53894  99.79479 #>  [36436]  99.74969 100.32946  99.72963 100.27462  99.83987  99.79479 100.17485 #>  [36443]  99.91496 100.20479 100.05498  99.73465 100.26964  99.68450  99.91997 #>  [36450] 100.32447  99.86491  99.69955 100.02000  99.65942 100.09495 100.40916 #>  [36457]  99.72462  99.78978  99.70958  99.89995  99.73966  99.53391  99.99000 #>  [36464] 100.08996  99.83987  99.93998 100.13990  99.89494 100.00500 100.22475 #>  [36471]  99.71961 100.04499 100.06498  99.77475  99.93998 100.03999  99.69955 #>  [36478]  99.38813 100.20479 100.09495  99.58916  99.75470 100.26964  99.61928 #>  [36485] 100.64293 100.02500 100.21477 100.15987 100.34441  99.54396  99.49874 #>  [36492] 100.20479  99.99500 100.36434 100.34441  99.46356 100.09495 100.20978 #>  [36499] 100.14989 100.25966  99.58916  99.90996 100.32447 100.17485  99.65942 #>  [36506] 100.32946 100.18483 100.10494 100.57833  99.71459  99.91496 100.03499 #>  [36513]  99.89995  99.85990 100.08496 100.55844  99.94999  99.70456  99.93998 #>  [36520]  99.89494 100.03999 100.02000 100.20479  99.85990 100.39422  99.89494 #>  [36527] 100.01500  99.71961  99.84488 100.43904  99.99000 100.06998 100.14490 #>  [36534]  99.71961  99.74467  99.80481  99.95999  99.80982 100.01000 100.00500 #>  [36541]  99.85489  99.72963  99.79980  99.56907  99.87993  99.66945 100.15488 #>  [36548]  99.96499  99.62429 100.06998 100.11493  99.93998 100.16486 100.43406 #>  [36555] 100.48881  99.90996  99.60422 100.41414 100.14490  99.71961  99.95999 #>  [36562]  99.91997 100.16986  99.76973 100.26964 100.17984 100.41414  99.60422 #>  [36569] 100.10494  99.95499  99.77976  99.94498  99.68450  99.47864 100.07997 #>  [36576]  99.60422  99.40825 100.10494  99.88994 100.71246 100.48881  99.87492 #>  [36583] 100.32447  99.86992  99.90495 100.49378  99.97000 100.29457 100.49378 #>  [36590] 100.57336 100.18982  99.78477  99.88493 100.12992 100.01500 100.23472 #>  [36597] 100.16486 100.02500 100.46392 100.00000 100.50373 100.33444  99.80481 #>  [36604]  99.79479  99.80481 100.04499 100.49378 100.76210 100.51368  99.45351 #>  [36611]  99.98500  99.88493  99.81984  99.90495 100.14989 100.04499  99.72462 #>  [36618] 100.25966 100.08496  99.27235 100.38426  99.85990 100.01000  99.58414 #>  [36625]  99.94498 100.02000  99.75470  99.85990 100.40916 100.02000 100.20978 #>  [36632]  99.83987 100.22475 100.40916 100.46392  99.74969  99.80982  99.89995 #>  [36639]  99.91997  99.95499 100.22974  99.59418  99.92998 100.25468  99.48869 #>  [36646]  99.79479 100.23472 100.02500 100.21976  99.85990  99.98500 100.32946 #>  [36653]  99.59920  99.97000 100.03999  99.57409 100.07997 100.05998 100.65287 #>  [36660]  99.99500  99.83987  99.61426 100.05498 100.04999 100.15987 100.15987 #>  [36667] 100.22974 100.29457  99.57911 100.32447  99.29250 100.53855 100.16986 #>  [36674] 100.13990 100.05498 100.24470  99.68952 100.03000  99.52387 100.41912 #>  [36681]  99.78978 100.43904 100.60815 100.02000 100.04499 100.01500 100.12492 #>  [36688]  99.83486 100.27462  99.79479 100.03499 100.04999 100.14490 100.19481 #>  [36695] 100.06998 100.00000 100.11493  99.61426  99.66444 100.32447  99.91496 #>  [36702]  99.76472  99.85990 100.67770  99.86491  99.92998  99.95999 100.04999 #>  [36709]  99.79479 100.09995  99.26732 100.18483 100.05998 100.19481 100.23971 #>  [36716] 100.18982 100.20978  99.64437  99.81483  99.83987 100.04499  99.73465 #>  [36723]  99.68952 100.30454  99.70456  99.96499  99.96499  99.28243 100.08996 #>  [36730] 100.11493  99.64437  99.90996  99.49874 100.18483  99.67949  99.60422 #>  [36737]  99.39819 100.41414  99.65942  99.90996  99.79479  99.62429 100.07497 #>  [36744] 100.25468  99.62429 100.05498 100.14490  99.84989  99.78978  99.98500 #>  [36751]  99.90996  99.66444  99.87492 100.23971  99.79980 100.26964  99.57409 #>  [36758]  99.81984  99.74467  99.97000 100.48383 100.23472 100.60815 100.21976 #>  [36765] 100.01000 100.17984  99.83486  99.82485 100.06498 100.09995 100.08496 #>  [36772] 100.65287  99.75971 100.17984  99.77475 100.10994 100.74721  99.72462 #>  [36779]  99.92497 100.06998 100.40916 100.08996  99.90996  99.36297  99.76472 #>  [36786]  99.47864  99.68450  99.84989  99.86491  99.83486 100.20479 100.21477 #>  [36793]  99.41328  99.57911 100.15488 100.82162  99.69955 100.44899  99.82986 #>  [36800]  99.89494 100.06998  99.52387 100.03000  99.71459 100.04499 100.32447 #>  [36807]  99.94999  99.71459 100.09495 100.12992  99.78978 100.44401 100.14989 #>  [36814]  99.79980 100.21976 100.30952  99.78978 100.15488  99.56405 100.22974 #>  [36821] 100.44401  99.95999 100.31949 100.34939  99.66945  99.85990 100.14989 #>  [36828] 100.37928 100.32946 100.42410  99.59418 100.63300 100.24470  99.33781 #>  [36835]  99.68450 100.11993  99.53391 100.12992 100.08996  99.87993  99.82485 #>  [36842]  99.93998  99.76973 100.51865  99.91496 100.01500 100.23971  99.77475 #>  [36849] 100.39422  99.40825  99.63433  99.34284 100.05498  99.99000  99.86491 #>  [36856] 100.25966 100.06998 100.45895 100.22974 100.04499  99.44345  99.70456 #>  [36863] 100.26465  99.63433 100.44899 100.62803 100.34441  99.99000 100.04999 #>  [36870] 100.22475 100.30454  99.77475 100.36932  99.92497 100.31451 100.01500 #>  [36877] 100.28958 100.14989 100.50373  99.76472  99.51884 100.65287  99.89494 #>  [36884] 100.40916 100.01000 100.04999  99.75470 100.33942 100.17984 100.14989 #>  [36891] 100.40418 100.29955  99.86992 100.68267  99.68450 100.11993 100.10494 #>  [36898]  99.86491 100.26465 100.33942  99.70958 100.12992 100.02500 100.20479 #>  [36905] 100.15488  99.72462  99.78477 100.09495 100.06498 100.08996  99.84989 #>  [36912]  99.74969  99.49874  99.69955 100.40418 100.02000  99.80481  99.95499 #>  [36919]  99.40322 100.28958 100.16486 100.32946  99.93998 100.31949 100.08496 #>  [36926] 100.01000  99.59418 100.61312  99.81984  99.68450 100.30454 100.09495 #>  [36933]  99.88994 100.13990  99.63935  99.94999  99.44848 100.03999  99.94999 #>  [36940]  99.54898 100.34441 100.45397 100.07997  99.87492  99.90495  99.78477 #>  [36947]  99.87492 100.26465 100.76210 100.20479  99.68952  99.95999  99.89995 #>  [36954] 100.16486 100.25966  99.87993 100.52860  99.67447 100.32447 100.09495 #>  [36961]  99.81984 100.19481  99.32774 100.18982 100.05498 100.41912 100.06498 #>  [36968] 100.51865  99.93998  99.77475 100.51865  99.40322 100.46890  99.93498 #>  [36975]  99.78477  99.91997 100.01000 100.10994 100.25966  99.61928 100.04999 #>  [36982]  99.92998  99.90495  99.87492 100.05998 100.14989  99.68952 100.21976 #>  [36989] 100.52363  99.76472 100.18982 100.16986 100.15488  99.92998 100.60318 #>  [36996] 100.17485 100.22475 100.26964 100.38924 100.53855  99.63433  99.45853 #>  [37003]  99.92998 100.01000 100.14989 100.02500  99.72462  99.98000  99.92998 #>  [37010]  99.94999  99.87492  99.77976 100.24969 100.07497  99.22197 100.34441 #>  [37017] 100.02500 100.42908  99.82485  99.54898  99.71961 100.05998 100.10994 #>  [37024]  99.85489  99.45351  99.96499  99.69453 100.27961 100.41414 100.07997 #>  [37031]  99.56405 100.26465  99.79980  99.47864  99.42837 100.05498  99.94999 #>  [37038] 100.35935 100.36932 100.31949 100.42908  99.84488 100.03000  99.95999 #>  [37045] 100.39920  99.70958 100.17485 100.12992  99.40322 100.22475 100.52860 #>  [37052]  99.77976  99.75470  99.79980 100.02500  99.85990 100.15488  99.72462 #>  [37059] 100.25468 100.01500 100.25966 100.43904  99.58414 100.03999 100.43406 #>  [37066] 100.18982 100.32946 100.36434 100.23971  99.72963 100.31949 100.10994 #>  [37073] 100.03999 100.58827 100.35935 100.00500 100.32946  99.72462 100.13990 #>  [37080] 100.23971 100.07497  99.87492 100.32447 100.16986  99.80982  99.87993 #>  [37087] 100.72239 100.46392  99.53894  99.73465 100.48383  99.87492 100.35437 #>  [37094]  99.72963 100.12992  99.78477 100.03000  99.38813  99.97500 100.27462 #>  [37101] 100.19481 100.04499 100.16986 100.48383  99.45351  99.88994 100.57336 #>  [37108] 100.04499  99.83987  99.96499 100.03999 100.11993 100.07497 100.02000 #>  [37115]  99.70958 100.17984  99.80982  99.77475  99.82485  99.48367 100.48383 #>  [37122] 100.40916  99.54396 100.04999 100.03000 100.04999 100.43904  99.74969 #>  [37129]  99.66444 100.51368  99.93498  99.91496  99.96499  99.77976  99.77475 #>  [37136]  99.87993  99.84989 100.03999  99.61928 100.39920 100.44899  99.94999 #>  [37143] 100.03000  99.57911 100.18483 100.56838 100.25966 100.26964  99.70456 #>  [37150] 100.02000 100.24969 100.37928  99.80982 100.02000 100.10994  99.79980 #>  [37157]  99.83987 100.39422  99.69955 100.17485 100.14490  99.65440 100.09495 #>  [37164] 100.11493 100.06498  99.79980 100.11993 100.29955  99.98000 100.20479 #>  [37171]  99.77976  99.93998  99.89494  99.35794  99.63935  99.68450 100.08996 #>  [37178]  99.70456 100.44401 100.01500 100.23971  99.87492 100.37928  99.53391 #>  [37185]  99.76472  99.83486  99.88493  99.81984 100.01500  99.70958 100.00000 #>  [37192] 100.10994  99.73966 100.04999 100.12992 100.27462 100.25468 100.16486 #>  [37199]  99.95999  99.56405  99.97000 100.40916 100.43904 100.03499  99.90495 #>  [37206] 100.11993  99.95499  99.65440 100.64293 100.09495  99.30760 100.45397 #>  [37213]  99.82485 100.52363 100.36434  99.97000  99.86491 100.41912 100.01000 #>  [37220] 100.21477 100.05998  99.96499 100.18982 100.19980  99.89995 100.22475 #>  [37227] 100.34441 100.28958 100.29955 100.10494 100.28460  99.61928  99.98500 #>  [37234] 100.48881  99.98500  99.99500  99.94999 100.12492 100.19980 100.21477 #>  [37241]  99.93998  99.77976 100.23971 100.27462 100.13990 100.22475 100.13491 #>  [37248]  99.78978 100.03999 100.44401  99.94999  99.85990  99.87492 100.40418 #>  [37255] 100.14490 100.34939 100.40418  99.85489  99.95999  99.88493 100.18483 #>  [37262]  99.52889 100.55347 100.11993  99.73966  99.55401  99.49874 100.16986 #>  [37269]  99.84488 100.18483 100.15987  99.52387 100.07997  99.96499 100.37928 #>  [37276]  99.72462 100.33942  99.94498  99.77976  99.90996  99.73966  99.75470 #>  [37283]  99.81984 100.38924  99.68952 100.78194 100.35935  99.70456 100.16486 #>  [37290]  99.73966 100.17984  99.86992  99.81984 100.13990 100.07497 100.07997 #>  [37297] 100.14989 100.17984  99.93498  99.44345 100.13990  99.71961  99.67949 #>  [37304] 100.37430 100.19980 100.52363  99.39316 100.46392 100.04999 100.47885 #>  [37311] 100.03499  99.73966  99.95999  99.66444 100.17485  99.95499 100.09495 #>  [37318] 100.15488  99.80982  99.85990 100.51865  99.97000  99.54898  99.96499 #>  [37325]  99.94498  99.59920  99.87492  99.43339 100.16486 100.15987  99.73966 #>  [37332] 100.83650  99.84989  99.59920  99.95499  99.76472 100.25468  99.72462 #>  [37339]  99.99000 100.08496  99.93998 100.18483 100.23971  99.81984  99.41328 #>  [37346]  99.73465 100.40916  99.76472 100.39422 100.04999  99.74467  99.75470 #>  [37353] 100.45895 100.06498 100.24969 100.07497 100.08996  99.93498  99.85990 #>  [37360]  99.78477  99.97000 100.55347 100.18982  99.67447 100.22475  99.97000 #>  [37367] 100.83154  99.86992 100.36932 100.41414 100.49876 100.29457 100.37430 #>  [37374] 100.41414 100.49378 100.18483 100.04999 100.03999  99.84488  99.74467 #>  [37381] 100.30454  99.65942 100.03000  99.80481  99.62429 100.25468 100.27961 #>  [37388]  99.63935  99.66444 100.73232  99.96499 100.13990 100.04499  99.99500 #>  [37395]  99.86992  99.80481 100.23971  99.70958  99.51382 100.44401  99.84989 #>  [37402] 100.12992 100.28958 100.22475 100.00500  99.76472 100.17485  99.79980 #>  [37409] 100.06498  99.94999  99.74969  99.58916  99.61426  99.65440  99.51382 #>  [37416] 100.55844 100.70253 100.19980  99.79479 100.14989  99.45853  99.82485 #>  [37423]  99.79980 100.16986  99.47864  99.78477 100.40916 100.33444 100.25966 #>  [37430]  99.92497 100.39920  99.89494 100.00500  99.80982 100.00500  99.47361 #>  [37437]  99.78477  99.83486 100.31451 100.00500 100.33444 100.53358 100.43406 #>  [37444] 100.31949  99.95999  99.97000  99.67447 100.29955  99.94999 100.08996 #>  [37451]  99.59920 100.34939  99.89995 100.08996 100.18982 100.16986  99.90996 #>  [37458] 100.04499  99.98500 100.32946 100.17984 100.05498  99.57911  99.68450 #>  [37465] 100.20978 100.07997 100.29955 100.06998  99.50377  99.81984 100.10494 #>  [37472]  99.81483 100.16486  99.93998  99.69453 100.31949 100.39920  99.95499 #>  [37479] 100.32447 100.28958 100.14989 100.03499  99.93998 100.32946  99.73465 #>  [37486] 100.03000 100.12992  99.66444 100.21976 100.36434 100.04499 100.13491 #>  [37493] 100.11493  99.94498 100.29955 100.18483  99.93498  99.74969 100.04999 #>  [37500] 100.12492 100.02500 100.23472  99.97000  99.42334  99.61426  99.97000 #>  [37507]  99.90996  99.77475 100.27462  99.95999 100.04999 100.13491  99.67949 #>  [37514]  99.69955  99.85489  99.73465 100.28460  99.85990  99.84989 100.10494 #>  [37521] 100.19481 100.09495 100.57336  99.88493 100.16986  99.57409  99.88493 #>  [37528]  99.97000  99.88994 100.15987 100.50871 100.09995 100.08996  99.93998 #>  [37535] 100.06498  99.43842  99.54898  99.82485  99.46859 100.13491 100.05498 #>  [37542] 100.05998  99.91997  99.87993 100.31451 100.50871  99.90996  99.71961 #>  [37549] 100.44899  99.96499 100.03499  99.64437 100.20978 100.29955  99.63433 #>  [37556]  99.65440  99.76973 100.08496  99.99500 100.14989 100.23971 100.82658 #>  [37563]  99.64939 100.03499  99.68450 100.33942  99.62931 100.76210  99.66945 #>  [37570] 100.17984  99.56907 100.04999 100.22974 100.38426  99.99000 100.11493 #>  [37577]  99.66945 100.20479  99.43842  99.74467  99.67949 100.48383  99.79479 #>  [37584]  99.50377 100.21477  99.89995 100.24969 100.05998  99.44848 100.34939 #>  [37591]  99.60422  99.91496 100.06498  99.88493 100.28460  99.53894  99.64939 #>  [37598] 100.01000 100.50871 100.28958 100.10494  99.27235  99.49372 100.39920 #>  [37605] 100.17984 100.01000  99.75971  99.89494 100.03499 100.05498 100.25966 #>  [37612]  99.57911  99.48869  99.88994  99.78477 100.45397  99.74969  99.49874 #>  [37619] 100.04999 100.27462  99.56907  99.90495  99.64939 100.02500 100.02000 #>  [37626]  99.62429  99.97000 100.05498  99.87993  99.78477 100.06498  99.85990 #>  [37633] 100.17984 100.22475  99.73465  99.67447  99.73465 100.25468 100.70750 #>  [37640]  99.82485  99.95499 100.40418  99.80481  99.94498  99.76472 100.47885 #>  [37647]  99.43842 100.15488 100.42410  99.39819  99.63935 100.46392 100.13491 #>  [37654] 100.04999 100.57336  99.90996 100.18982 100.65287 100.15987 100.00000 #>  [37661] 100.11493  99.74969  99.95499 100.13990  99.86491 100.29955  99.58916 #>  [37668] 100.25966 100.15987  99.59418 100.18982 100.17984 100.20479 100.20978 #>  [37675]  99.87492  99.77976 100.29955 100.15488 100.15987  99.82986  99.92998 #>  [37682]  99.93498  99.57409  99.84488  99.95499  99.74467 100.28460 100.00000 #>  [37689] 100.16486  99.87993  99.44345 100.04999  99.80481 100.05998  99.96499 #>  [37696] 100.02000  99.76973 100.07497  99.66444  99.76973 100.55844 100.07997 #>  [37703] 100.00000  99.77976  99.80481 100.00500 100.46392  99.80481  99.66945 #>  [37710]  99.92497 100.20479 100.03499  99.97500 100.02000  99.95499 100.04499 #>  [37717] 100.41414  99.97500  99.94999  99.73966 100.36434  99.60422  99.89494 #>  [37724]  99.84989  99.86491 100.02500 100.04499 100.31451  99.87492 100.35437 #>  [37731]  99.90495  99.64437  99.99500  99.82485 100.22475 100.02000  99.60924 #>  [37738] 100.17485  99.60422 100.33942 100.34441  99.57409  99.88994 100.38426 #>  [37745]  99.97000 100.12992  99.62931  99.69955  99.79980 100.64790  99.94498 #>  [37752]  99.42837 100.45397 100.11993  99.95999 100.17984  99.93998 100.03999 #>  [37759]  99.67447 100.31451  99.97500  99.44345  99.89494 100.19481 100.18982 #>  [37766] 100.17984 100.02500  99.83987 100.21976  99.90996  99.90495  99.49874 #>  [37773] 100.14989 100.35935 100.29955  99.77475 100.19481 100.19980 100.58827 #>  [37780]  99.52889  99.41831 100.48383  99.51884  99.60422 100.28958  99.72462 #>  [37787]  99.45351  99.90495  99.94999  99.60422  99.93498 100.00000  99.65440 #>  [37794] 100.30454  99.74467 100.03999  99.69453 100.24969  99.98000 100.05498 #>  [37801] 100.55844 100.07497 100.12492  99.84989 100.16986  99.82986 100.02000 #>  [37808]  99.82485 100.02000 100.45397 100.20978 100.02000 100.35935 100.16986 #>  [37815] 100.27961  99.90495 100.10994 100.16486  99.93998 100.09995  99.96499 #>  [37822] 100.04499 100.24969  99.95999  99.75971 100.15987 100.41912  99.66945 #>  [37829]  99.89995  99.95999 100.47388  99.71459  99.65440  99.50879  99.91997 #>  [37836] 100.28958 100.25966  99.87492  99.95499 100.04999  99.20685  99.90495 #>  [37843]  99.58414  99.83987 100.08996 100.45895 100.02500 100.01500  99.89494 #>  [37850]  99.87993  99.99500 100.20479  99.79980 100.40916 100.42908  99.99500 #>  [37857] 100.24969  99.89494 100.18982 100.06998  99.85489  99.82986 100.29457 #>  [37864] 100.28958 100.15488 100.03499 100.16986 100.43904  99.95999  99.90996 #>  [37871]  99.75470  99.64437  99.70456 100.05998  99.60422 100.20479  99.63433 #>  [37878] 100.24969  99.92497  99.81984  99.98000  99.77976 100.04999  99.28243 #>  [37885]  99.81984  99.60924 100.11993 100.52363  99.90495 100.31451 100.08996 #>  [37892]  99.82485 100.18483  99.56907 100.18483  99.96499  99.50879  99.84488 #>  [37899]  99.98500 100.00500  99.80481  99.47361 100.33444  99.99500 100.12492 #>  [37906] 100.09995 100.45397 100.02500 100.47885 100.16486  99.68952 100.07997 #>  [37913]  99.98500 100.31451 100.23971  99.81984  99.82485 100.50871 100.15987 #>  [37920]  99.77976  99.55401  99.58916  99.90996  99.97500 100.35935  99.98000 #>  [37927] 100.08996 100.59324 100.04999  99.79980  99.92497  99.93998  99.92497 #>  [37934] 100.12992  99.85990 100.62803  99.95499 100.34441  99.84989 100.30952 #>  [37941]  99.92998 100.11993  99.56907  99.89995  99.86992 100.06998  99.62931 #>  [37948] 100.11493  99.64939 100.36932 100.08496 100.07497  99.96499  99.99500 #>  [37955]  99.56907 100.04999  99.78477 100.19980 100.47388  99.87492  99.74467 #>  [37962] 100.38924  99.92998  99.81483  99.88994  99.38310 100.12992  99.91496 #>  [37969] 100.18982 100.10494  99.71961 100.05498  99.98500  99.99500 100.07997 #>  [37976]  99.87993  99.77976  99.86491  99.69955 100.66280 100.01000  99.49372 #>  [37983] 100.14490  99.97000  99.65942  99.80481 100.42410  99.72462 100.08996 #>  [37990] 100.02500  99.90996  99.73966  99.70456  99.93998  99.24717 100.23472 #>  [37997] 100.14989  99.75971 100.00500  99.68952  99.93498  99.72963 100.02500 #>  [38004] 100.17984 100.16486  99.85489 100.06998  99.71459 100.43406 100.54352 #>  [38011]  99.31264  99.98500  99.97500  99.75971 100.12992  99.69955 100.05498 #>  [38018]  99.49874  99.83486 100.20978  99.56405 100.03999 100.65287 100.02000 #>  [38025]  99.94999 100.17485  99.74969  99.93498  99.94498  99.78978  99.81984 #>  [38032] 100.60318 100.18982 100.06498  99.98500 100.25468 100.04999  99.71961 #>  [38039]  99.76973 100.04999 100.43904 100.09995  99.76472  99.77976 100.33444 #>  [38046] 100.02000  99.44848 100.24969 100.20978  99.63433 100.16986 100.50373 #>  [38053]  99.40825  99.86491  99.69955  99.67949 100.15488 100.24969 100.06498 #>  [38060]  99.77976  99.55903  99.96499  99.57911  99.82986  99.91997  99.90996 #>  [38067] 100.32946 100.15987 100.40418 100.26465  99.62931 100.03499  99.79479 #>  [38074]  99.86992 100.32447  99.86992  99.87492  99.63433  99.65942 100.10994 #>  [38081]  99.70958 100.08496  99.68450  99.79980  99.83486  99.60422 100.22475 #>  [38088]  99.37807 100.20479 100.20479 100.04499  99.84989 100.11493 100.00500 #>  [38095]  99.69453 100.41414  99.88994  99.92497  99.50879 100.45895  99.88493 #>  [38102]  99.84488  99.97500 100.41912 100.03499  99.74969 100.26964  99.72462 #>  [38109]  99.80982 100.43904  99.99000  99.90996 100.13990  99.93998  99.45853 #>  [38116] 100.47388  99.68450  99.84989 100.43406 100.42410 100.03999  99.77475 #>  [38123] 100.08996 100.36932 100.23472  99.92497 100.10494  99.89494 100.24470 #>  [38130]  99.72462 100.04499 100.33444 100.38924 100.04999  99.70958 100.05998 #>  [38137]  99.90996  99.51884 100.26964 100.16986 100.26465 100.42410  99.50879 #>  [38144] 100.05498  99.62931 100.23472 100.03000 100.59821  99.82986 100.51865 #>  [38151]  99.85990 100.14989 100.00000 100.06498  99.90495  99.55903  99.97000 #>  [38158]  99.83987  99.80481  99.56907 100.04999 100.05998 100.56838  99.89494 #>  [38165] 100.03999  99.44345 100.74225  99.78477  99.96499 100.15488 100.05998 #>  [38172] 100.27462  99.82485 100.12492  99.80481  99.91997  99.62429  99.62429 #>  [38179]  99.62429 100.20479 100.16486  99.68952 100.49876  99.89494  99.50879 #>  [38186] 100.37430 100.23971  99.63935  99.80982 100.31949 100.02500 100.01000 #>  [38193] 100.26964 100.11993  99.61426  99.83987 100.15488 100.09995 100.18982 #>  [38200]  99.94498 100.04999 100.16986 100.08996 100.29955 100.13990  99.94999 #>  [38207]  99.60924 100.38426 100.23971  99.99500 100.22475 100.01500 100.07997 #>  [38214]  99.87492  99.76472 100.66280 100.31949 100.17485  99.98000 100.24969 #>  [38221]  99.93998 100.57336  99.83486 100.23971  99.64939  99.74969 100.19980 #>  [38228] 100.16986  99.78477  99.90495  99.62429 100.56341 100.40916  99.95999 #>  [38235]  99.80481  99.73966  99.79980 100.05998  99.80982  99.62429  99.90996 #>  [38242] 100.07997  99.90495 100.42908 100.21477 100.44899  99.67949 100.58827 #>  [38249]  99.76472  99.74467 100.48881 100.25468 100.44899 100.39920 100.14490 #>  [38256]  99.92497  99.67447 100.32946  99.17157 100.27462  99.92497 100.18483 #>  [38263]  99.92998  99.60924 100.14490 100.33444  99.98500 100.41414 100.53855 #>  [38270]  99.58414 100.18982 100.17984  99.83987  99.77976  99.90996  99.49874 #>  [38277]  99.90495 100.22974  99.66945 100.65784  99.83486  99.78978  99.87993 #>  [38284] 100.20978 100.32946  99.60422 100.48881  99.49874 100.32946  99.83486 #>  [38291]  99.72963 100.20978 100.27961  99.89494  99.98000  99.84488 100.34939 #>  [38298]  99.61928  99.87492 100.30454  99.68450  99.93498 100.00000  99.56907 #>  [38305] 100.01500 100.31451 100.46890  99.87492 100.62306  99.62429 100.24969 #>  [38312]  99.70456  99.41328  99.74467 100.12992  99.66945 100.08496  99.48869 #>  [38319] 100.02000  99.83987  99.80982  99.98000  99.75971 100.38426 100.01500 #>  [38326]  99.89494 100.31949  99.87993 100.01000  99.91496 100.24969 100.40916 #>  [38333]  99.74467 100.30454 100.44401 100.43406 100.21477  99.97000  99.65440 #>  [38340] 100.24470  99.80481 100.29457 100.12492 100.16986  99.63935 100.18483 #>  [38347] 100.07997 100.12992 100.30454 100.24470 100.23971 100.30952 100.02000 #>  [38354] 100.02000 100.16486 100.21477  99.73465  99.45853 100.23971  99.81483 #>  [38361]  99.49372  99.81984 100.21477 100.20978  99.92998  99.89494  99.22197 #>  [38368]  99.97500  99.92998 100.10994 100.04499 100.42908 100.53855  99.82485 #>  [38375] 100.50871 100.23472  99.61928 100.16986  99.24717  99.92497 100.03000 #>  [38382] 100.06498  99.84989  99.96499 100.50871  99.63433 100.36932 100.07497 #>  [38389]  99.99000  99.80982 100.29955  99.68952 100.51865  99.38310  99.37807 #>  [38396]  99.97500  99.91997 100.02000  99.95999 100.71246 100.14989  99.40322 #>  [38403] 100.15987 100.27462 100.20978 100.03499  99.87492 100.01500 100.06498 #>  [38410] 100.36434  99.47361  99.97000 100.34441 100.45397  99.85990  99.67949 #>  [38417]  99.98500 100.51368 100.42410  99.92497  99.86491 100.21976 100.37928 #>  [38424]  99.55903 100.41414  99.76973  99.61426 100.36434  99.79479  99.60924 #>  [38431]  99.61928  99.83486  99.56405  99.58916 100.18982 100.23472 100.15488 #>  [38438]  99.81984 100.17984  99.93998  99.83486  99.69453 100.28958 100.41414 #>  [38445] 100.53855  99.96499 100.12492 100.16486  99.80982  99.97000  99.24717 #>  [38452] 100.08496  99.54396  99.81483 100.10994  99.51884  99.81984 100.37430 #>  [38459] 100.09495 100.18982 100.59821  99.95999 100.29955 100.14989 100.36434 #>  [38466]  99.83486  99.30760 100.18483  99.64939  99.89494 100.18483  99.59920 #>  [38473] 100.29457  99.89995  99.97000  99.45351 100.12992  99.98500 100.07497 #>  [38480]  99.77976  99.65440 100.25468  99.62931 100.22974 100.24470  99.89494 #>  [38487]  99.60422  99.59920 100.24969 100.23472  99.79980  99.71961  99.84488 #>  [38494]  99.74969 100.00000 100.01000  99.72963  99.72462 100.58330  99.95499 #>  [38501]  99.53391 100.14490 100.28958  99.99000 100.38924 100.16986  99.62429 #>  [38508] 100.03000  99.95999 100.24470 100.46890 100.11993  99.74467 100.62306 #>  [38515]  99.79479 100.17485 100.01000 100.43406 100.41414  99.66945  99.95499 #>  [38522] 100.70253  99.70958  99.85489  99.95999  99.95499 100.38924 100.22475 #>  [38529]  99.50377 100.04999 100.11993 100.07497  99.83486  99.78978 100.14989 #>  [38536] 100.41912  99.55903 100.27462  99.77475 100.55844 100.16486 100.12992 #>  [38543] 100.02000 100.07497 100.08496 100.25468  99.84488 100.13990 100.33444 #>  [38550] 100.03000 100.03000 100.51368  99.85990  99.85990 100.01500 100.32946 #>  [38557]  99.67949 100.18483 100.22974  99.97500  99.82485  99.86491 100.28958 #>  [38564]  99.60924  99.70456  99.96499  99.90996 100.59324 100.59324  99.94498 #>  [38571]  99.68450  99.63433 100.13491 100.08496 100.21477  99.82986 100.44899 #>  [38578] 100.32447 100.08496 100.24470 100.00500 100.39422  99.70456  99.89494 #>  [38585] 100.39422 100.28958 100.02500  99.84989  99.79479  99.87993 100.08996 #>  [38592]  99.94498 100.42410 100.64293  99.51382  99.90996 100.17485  99.50377 #>  [38599] 100.06998 100.26964  99.88994  99.44345  99.90495 100.34441  99.74467 #>  [38606] 100.11493  99.51884  99.52387  99.87993 100.48881 100.00500 100.44899 #>  [38613] 100.47388 100.20978 100.43904  99.80982 100.02500 100.02500  99.86992 #>  [38620] 100.09495 100.44899  99.68450  99.62429 100.59324 100.28460  99.59418 #>  [38627] 100.10494  99.79479  99.67949 100.27961 100.22974  99.84989 100.32946 #>  [38634]  99.71961 100.09495 100.09995  99.36297  99.62931  99.53391 100.19481 #>  [38641]  99.90495  99.86992  99.67949  99.77976 100.01500  99.91997 100.21477 #>  [38648]  99.93498  99.75971 100.06998  99.31767 100.26964  99.94999 100.07497 #>  [38655] 100.03499  99.95999 100.27462  99.62931  99.72462 100.16986 100.01500 #>  [38662]  99.93998  99.53391  99.91997  99.76973 100.01500  99.55903  99.98500 #>  [38669]  99.91997  99.54898  99.82986  99.23205  99.51884  99.71459 100.08996 #>  [38676]  99.68952  99.94999 100.08996  99.70456 100.06498  99.79479  99.81984 #>  [38683] 100.32447 100.24969  99.83486 100.06998 100.08496  99.96499 100.10494 #>  [38690] 100.51865 100.04499  99.85489 100.39920  99.55903 100.06498  99.64939 #>  [38697] 100.03000  99.98000 100.29457 100.18483  99.94498  99.97000  99.83486 #>  [38704]  99.92497 100.01000  99.66444 100.00500 100.04999  99.84488 100.26465 #>  [38711]  99.79980 100.02500  99.81984  99.95999 100.08496 100.42908 100.03999 #>  [38718] 100.23472 100.27462  99.75470 100.47885 100.57833  99.71961  99.63935 #>  [38725]  99.98000 100.22475  99.64939  99.94999 100.03000 100.14490  99.41328 #>  [38732]  99.85990  99.63935 100.37928 100.22475 100.06498 100.02500  99.93498 #>  [38739]  99.90996  99.92998  99.81483  99.83987  99.95999  99.92497 100.27462 #>  [38746]  99.50377 100.04499 100.46890 100.12492  99.91496  99.92497  99.82986 #>  [38753]  99.73465  99.92497 100.35437  99.68450  99.74969  99.43339  99.91997 #>  [38760]  99.79479 100.35935 100.04999  99.33781 100.39920 100.10994 100.34441 #>  [38767] 100.42908 100.02000  99.42837 100.16486 100.24969  99.57409  99.84989 #>  [38774] 100.07497  99.98500  99.53391  99.68450  99.78978  99.57409  99.97000 #>  [38781] 100.17984 100.06998 100.25966  99.53391  99.64437 100.09995 100.02500 #>  [38788] 100.28460  99.91496 100.51368 100.03000  99.90996  99.63935 100.23971 #>  [38795]  99.91997  99.92497 100.20479 100.43406  99.55903 100.03499 100.05498 #>  [38802] 100.02000 100.13491 100.10494  99.76472  99.87993  99.84989  99.97000 #>  [38809]  99.84488  99.72462  99.94999 100.26465 100.44401  99.79479  99.58916 #>  [38816]  99.63433 100.35437 100.10994 100.09995  99.68450 100.24969  99.58916 #>  [38823]  99.67447  99.65942 100.60318  99.87492  99.97500  99.52889 100.02500 #>  [38830]  99.91997  99.86992 100.17485  99.74969  99.74969 100.08496 100.27462 #>  [38837]  99.67949  99.85489 100.48383 100.71743 100.14989  99.92497  99.94498 #>  [38844] 100.28460  99.26228  99.84488  99.85489  99.66444  99.58916  99.46859 #>  [38851]  99.76472 100.24969  99.76472 100.11993 100.09495 100.32946  99.98500 #>  [38858]  99.60422  99.95999 100.13990  99.98000 100.01000  99.65942 100.31949 #>  [38865]  99.63433  99.90495  99.81483 100.24969 100.09995 100.12492 100.22974 #>  [38872]  99.76472  99.90495  99.56405  99.86992 100.21976  99.87993  99.78978 #>  [38879]  99.93998  99.70958 100.37928  99.68450  99.66444  99.93998  99.90996 #>  [38886] 100.03000 100.27462  99.71459 100.08496 100.37430  99.82986 100.06498 #>  [38893]  99.64939 100.54352 100.31949 100.42908 100.11493  99.43339  99.88994 #>  [38900]  99.46859 100.28958 100.18982 100.24969  99.69453  99.86992  99.92497 #>  [38907]  99.99000  99.80982 100.12492  99.76973 100.44899 100.43904 100.06498 #>  [38914] 100.22974  99.93998  99.63433 100.26465 100.28460  99.86992 100.18982 #>  [38921] 100.17984  99.74467  99.98000  99.95999 100.13491 100.01000 100.41414 #>  [38928]  99.84488 100.03499 100.36932 100.13990  99.70456  99.56907 100.27462 #>  [38935]  99.92998  99.97000  99.58414  99.96499 100.10494  99.66945 100.14490 #>  [38942]  99.87993  99.29753 100.06498  99.97000  99.66945 100.31949 100.46392 #>  [38949]  99.88493  99.38813  99.56405  99.91997 100.25966  99.88493 100.17485 #>  [38956] 100.29955 100.46392 100.12492 100.06998 100.37928 100.03999  99.91496 #>  [38963] 100.16986 100.31451  99.86992 100.35935  99.95499 100.46392  99.83987 #>  [38970] 100.31451 100.21477 100.22974 100.13990  99.92497 100.01000 100.19980 #>  [38977] 100.09495  99.84488 100.60815 100.42410  99.50377 100.21976  99.77976 #>  [38984] 100.09495  99.98500 100.18982 100.07997 100.07997  99.56405 100.38924 #>  [38991]  99.94498  99.58916 100.11993 100.04999 100.40418 100.26964  99.79980 #>  [38998]  99.80481  99.60924  99.60422  99.81984  99.96499  99.69955  99.84989 #>  [39005]  99.95999  99.56405  99.45853  99.62931 100.35935 100.02000 100.24470 #>  [39012]  99.98500  99.77475 100.34441  99.80982 100.08996  99.61928 100.04499 #>  [39019]  99.67949  99.87492 100.30454  99.74969 100.11493  99.81483  99.86491 #>  [39026]  99.82485  99.99500  99.85990  99.81483 100.11993 100.04499  99.91496 #>  [39033]  99.68952 100.01000 100.35437 100.25468  99.81984  99.98500 100.40916 #>  [39040]  99.81483 100.28958 100.06498 100.20479 100.27961 100.21477  99.49874 #>  [39047] 100.18982  99.90996  99.32774  99.42837  99.83987  99.83987  99.79479 #>  [39054]  99.94498  99.67949  99.70958 100.04999  99.83486  99.84488  99.92998 #>  [39061] 100.17984  99.91997  99.97000 100.14490  99.99000  99.77976  99.60924 #>  [39068] 100.07497  99.94498  99.91997 100.05998  99.69955 100.19980  99.82485 #>  [39075] 100.51865 100.33444 100.20479  99.80481 100.03999  99.88994 100.48881 #>  [39082] 100.06998  99.52889  99.53391 100.23971 100.06498  99.67447 100.01000 #>  [39089]  99.78477 100.28958  99.88994  99.64437 100.29955  99.86491  99.70958 #>  [39096] 100.84642 100.02000 100.22974  99.83987 100.27961 100.21477 100.53358 #>  [39103] 100.46392 100.11493 100.59821  99.73465 100.08996 100.16486  99.78978 #>  [39110]  99.98500 100.18982  99.82485 100.30454  99.79479  99.68450  99.11609 #>  [39117] 100.18483 100.49378  99.62931  99.53894  99.87492 100.14989 100.19481 #>  [39124] 100.12492  99.79980 100.02000  99.89494 100.31949  99.47864  99.26228 #>  [39131]  99.89995  99.54396  99.62429 100.00500 100.02500  99.89995 100.02000 #>  [39138]  99.64437 100.03499 100.08996 100.67770 100.14490  99.74467  99.83987 #>  [39145] 100.28958  99.72963 100.17485 100.23971  99.55903  99.73966  99.73465 #>  [39152] 100.30454 100.05998  99.56907 100.16986  99.78477  99.93998 100.28958 #>  [39159]  99.98000  99.61928  99.28243  99.91997  99.79980  99.99500  99.65942 #>  [39166] 100.01500  99.97500 100.03000 100.03000 100.08496 100.13491 100.02000 #>  [39173] 100.01000 100.16486  99.82485 100.46890  99.68952 100.00500 100.07497 #>  [39180] 100.03000 100.43904 100.08496 100.51368 100.00000  99.34284 100.30454 #>  [39187]  99.99500 100.37928  99.98500 100.07497 100.28958  99.85489  99.59920 #>  [39194] 100.07997 100.04999  99.96499 100.24470  99.79479  99.82485  99.66444 #>  [39201] 100.35437  99.77976  99.55401  99.86992  99.76973  99.82485 100.30952 #>  [39208] 100.25966 100.02000  99.87993  99.37807  99.86992 100.32447  99.75971 #>  [39215]  99.82485 100.35935  99.99000  99.61426  99.91496  99.89494  99.82986 #>  [39222] 100.34939  99.98000  99.91496 100.03999  99.94999 100.20978  99.88493 #>  [39229]  99.81483  99.88493  99.67447 100.01500 100.27961  99.93998 100.22475 #>  [39236]  99.87993  99.74467 100.52363  99.82485  99.83486  99.90996 100.65784 #>  [39243]  99.69955  99.37807  99.58414  99.78978  99.88994  99.91997 100.23971 #>  [39250] 100.30454 100.28958  99.59418 100.09995  99.94999  99.96499  99.82986 #>  [39257]  99.64437 100.09995 100.00000 100.28460 100.35935  99.80982 100.26964 #>  [39264]  99.07068  99.62429  99.94498 100.06998  99.58916 100.28958 100.04499 #>  [39271] 100.51368  99.91997 100.36434  99.64437  99.85990  99.99500  99.95999 #>  [39278]  99.78978 100.55844  99.89995  99.75971 100.10494 100.16986  99.91496 #>  [39285]  99.62931  99.90996  99.93498  99.75971 100.12492  99.95499 100.06998 #>  [39292]  99.53894 100.16486 100.38426  99.79479  99.85990  99.79479 100.34441 #>  [39299] 100.21976 100.41414  99.86491  99.91496 100.02000  99.45853 100.02500 #>  [39306]  99.96499  99.97500  99.75971 100.25966  99.75470  99.87993 100.02000 #>  [39313]  99.37303 100.12492 100.23971  99.52387 100.54352 100.14989 100.02000 #>  [39320] 100.03000  99.91496 100.14989  99.83987 100.12492 100.00500 100.25468 #>  [39327] 100.02000  99.89494 100.43904 100.14989 100.73232 100.43904 100.04499 #>  [39334]  99.84488  99.86491  99.70958 100.48383 100.04499 100.08496  99.97500 #>  [39341]  99.37303  99.86491 100.08996 100.08496 100.17485  99.70456  99.69453 #>  [39348]  99.98500  99.89995 100.34939  99.68952  99.89995  99.69453 100.20479 #>  [39355] 100.12492 100.04499  99.86992 100.34441 100.06498  99.93498 100.46890 #>  [39362] 100.00500  99.82986  99.81483  99.87993  99.88493 100.10494 100.17984 #>  [39369]  99.82485 100.30454  99.88493 100.02500  99.77976  99.76973 100.43904 #>  [39376]  99.91997  99.57911  99.72462  99.98000 100.03499  99.23205 100.10494 #>  [39383]  99.94999  99.87993  99.89995 100.18982 100.23472  99.94999 100.33444 #>  [39390]  99.60924 100.24969  99.41328  99.43842 100.26964  99.74467  99.90495 #>  [39397] 100.37928 100.31451 100.14490  99.81984  99.30760  99.84989  99.95999 #>  [39404] 100.44401 100.31451  99.89494  99.80481 100.06498 100.10994  99.96499 #>  [39411] 100.09995 100.36932 100.54850  99.60422 100.02000  99.81984 100.01000 #>  [39418] 100.38426  99.39316 100.45397  99.88493 100.27462 100.59324  99.98500 #>  [39425]  99.74467  99.78978 100.05998 100.17984  99.55903  99.97000 100.00000 #>  [39432]  99.76472  99.99500  99.23709  99.66444 100.19980 100.00000  99.72963 #>  [39439]  99.92998 100.33942 100.17984 100.17984 100.20479  99.63935 100.03999 #>  [39446] 100.11493  99.89494 100.18483 100.44401 100.01500  99.60422 100.12492 #>  [39453]  99.44848 100.09495 100.19481  99.92497 100.34441 100.02000 100.16486 #>  [39460] 100.49876  99.92998  99.94498 100.36932 100.17984 100.54352  99.90495 #>  [39467] 100.30454  99.70958 100.08496  99.89494 100.17984 100.30454  99.67447 #>  [39474] 100.08496  99.66945  99.77976 100.20978 100.19481  99.89494  99.57911 #>  [39481] 100.07997  99.84989 100.15488 100.48383  99.90495 100.03000 100.10494 #>  [39488]  99.99500 100.14490  99.69453  99.31264 100.54850  99.97500  99.66945 #>  [39495]  99.85990  99.48367  99.89494  99.70958  99.98000  99.69453  99.12618 #>  [39502] 100.07997 100.12492 100.30454 100.42410 100.25966  99.84989 100.03499 #>  [39509]  99.93998  99.86992 100.23472 100.19980  99.78477  99.87993 100.24969 #>  [39516]  99.83486 100.33942  99.80481 100.31949  99.86992 100.26465  99.90996 #>  [39523] 100.49876 100.00500 100.19980 100.14490 100.24969  99.59920  99.84989 #>  [39530]  99.61426 100.01000  99.78477 100.01000 100.14989  99.49372 100.53855 #>  [39537]  99.77976  99.97500 100.35935 100.40418  99.66945 100.09495 100.29457 #>  [39544] 100.20978  99.78978 100.09995  99.80481  99.72963 100.19980 100.03999 #>  [39551] 100.50871  99.65942  99.74467 100.18982 100.10494  99.88994  99.84488 #>  [39558] 100.08496 100.08996 100.31451  99.95999  99.55401  99.98500  99.52387 #>  [39565] 100.18483 100.63797  99.81483 100.77202  99.67949 100.17984 100.44401 #>  [39572]  99.98000 100.25468  99.79980 100.00500  99.90495 100.80675 100.21976 #>  [39579]  99.94498  99.69453 100.22475  99.82485  99.71459 100.69757  99.81984 #>  [39586]  99.74969  99.97000 100.30454 100.54352  99.70456  99.35794  99.99000 #>  [39593]  99.69955 100.71246 100.70750 100.13491 100.36932 100.03000 100.03000 #>  [39600] 100.22475  99.94498 100.02000 100.27462 100.36434 100.08996 100.25966 #>  [39607]  99.90996 100.36932  99.71459 100.05498  99.88493 100.04999 100.02500 #>  [39614] 100.05998 100.73232 100.42908 100.17984 100.19980 100.21976  99.39316 #>  [39621] 100.41912  99.77976 100.55347  99.47864 100.22475  99.85990 100.25966 #>  [39628]  99.87492  99.98500 100.21976  99.70456 100.12992 100.02000  99.35794 #>  [39635] 100.12992  99.72963  99.87492 100.48881 100.14490  99.68450 100.16486 #>  [39642]  99.66945 100.22475  99.90996 100.15987 100.07997  99.76973  99.83486 #>  [39649]  99.66945  99.79980 101.01485 100.28460 100.03000 100.16986  99.59920 #>  [39656]  99.89995 100.03999  99.99500  99.90495  99.78477  99.84989 100.12492 #>  [39663]  99.99000  99.99000  99.97000 100.33942  99.65942 100.19980 100.16486 #>  [39670] 100.04499 100.54352  99.93998  99.52889 100.12492 100.52860 100.16486 #>  [39677]  99.71961  99.99000 100.34441  99.62931 100.12492 100.19980  99.84989 #>  [39684]  99.88493 100.12492  99.97500 100.10494  99.29250  99.92497 100.10494 #>  [39691]  99.52387  99.99500  99.78477 100.43406 100.48881 100.19481 100.24470 #>  [39698]  99.49874 100.17984 100.16486 100.32447 100.68764  99.72462 100.34939 #>  [39705]  99.85489 100.12492 100.01500  99.74467  99.90996 100.02000 100.14989 #>  [39712]  99.82986 100.17984 100.00500  99.38310 100.28958 100.36434  99.90996 #>  [39719]  99.66945  99.78978  99.49372 100.12492  99.84989 100.13990 100.31949 #>  [39726]  99.85990 100.27462  99.55903  99.94498  99.83987 100.13491 100.22974 #>  [39733] 100.08496  99.73966  99.88994 100.02500  99.83486  99.98500 100.24470 #>  [39740] 100.09495 100.04999 100.44899  99.80481  99.71459  99.95999 100.38924 #>  [39747] 100.13491 100.01500  99.56405 100.33942 100.11993  99.71961  99.88493 #>  [39754] 100.08996  99.75470 100.45895 100.11493 100.43406 100.67770  99.80982 #>  [39761]  99.72963 100.41414  99.81483 100.26964  99.59418  99.91496 100.08996 #>  [39768] 100.17485 100.16986  99.66945  99.77475  99.86992  99.88493  99.94498 #>  [39775] 100.04999 100.02500 100.21976  99.61928  99.77976 100.22974  99.65942 #>  [39782]  99.94999 100.38426 100.03000 100.04999 100.01500  99.98500 100.29457 #>  [39789]  99.81984 100.13990  99.97000  99.94498 100.25966 100.02000  99.56405 #>  [39796]  99.46859  99.98000  99.93998 100.04499 100.41414 100.19481 100.07497 #>  [39803] 100.06498  99.92998 100.36932 100.00000 100.02500  99.68450 100.41912 #>  [39810]  99.50377 100.23472 100.05998  99.88493  99.91997 100.04499  99.52889 #>  [39817] 100.08496  99.82485  99.82485  99.91496  99.74467  99.91997  99.59418 #>  [39824]  99.92497 100.09495  99.46859 100.11993  99.56405 100.31949 100.39920 #>  [39831]  99.69453 100.04999  99.86491  99.93998 100.33942 100.28460  99.40322 #>  [39838]  99.93498  99.56907  99.59418 100.08996  99.97500 100.03499 100.09495 #>  [39845]  99.91496 100.20978 100.21477 100.03499  99.77976 100.15488 100.48383 #>  [39852] 100.48383  99.22701  99.71961 100.47388 100.33444  99.95499  99.76973 #>  [39859] 100.23472  99.78477 100.17984 100.04499  99.64939 100.03000  99.95999 #>  [39866]  99.70958 100.13491  99.38813 100.25966 100.54850  99.71459  99.92497 #>  [39873]  99.75470 100.21976 100.00500 100.12492 100.07997 100.26964  99.84989 #>  [39880] 100.39422 100.21477 100.32447  99.73966  99.84989 100.07997 100.15488 #>  [39887]  99.46859  99.85990 100.25468  99.72963 100.08496 100.25468 100.65784 #>  [39894]  99.99500 100.18982 100.37928  99.81483  99.92497 100.34441  99.77976 #>  [39901] 100.23971  99.70456  99.80982  99.66444 100.45397  99.46859 100.14989 #>  [39908] 100.06998 100.01000 100.13990 100.44899  99.76472 100.20978  99.97500 #>  [39915] 100.24969 100.06498 100.07497  99.91496  99.66945 100.21477 100.59324 #>  [39922]  99.93498  99.51382  99.90996  99.65942  99.88493 100.18982 100.03999 #>  [39929] 100.02500  99.49372  99.84989 100.17984 100.28460  99.79479  99.48367 #>  [39936]  99.97500  99.70456 100.37430 100.43406  99.85489 100.05998 100.24470 #>  [39943]  99.65440  99.84488 100.41414  99.62429  99.68450 100.53855  99.72462 #>  [39950]  99.92998 100.29457  99.61928  99.68450 100.22475 100.15987  99.77976 #>  [39957] 100.34441 100.13990  99.91496  99.88493  99.81984  99.87993  99.64437 #>  [39964]  99.32271  99.43842  99.82986 100.30454  99.93998 100.40418  99.88493 #>  [39971]  99.41831 100.03000  99.18669 100.30454  99.65942  99.71961 100.53855 #>  [39978]  99.85990 100.06498  99.99000  99.72963 100.32447  99.51382  99.84989 #>  [39985] 100.63300 100.30454 100.35437  99.82485 100.27961 100.19980 100.36932 #>  [39992]  99.60422  99.96499  99.98500 100.19481 100.39422 100.00000  99.97500 #>  [39999]  99.91997 100.04499 100.16486 100.47885  99.90495 100.03000  99.77475 #>  [40006] 100.01500 100.26964 100.15488  99.62931  99.73966  99.97500  99.88994 #>  [40013]  99.70958  99.53894  99.98500 100.07997 100.12492 100.08996  99.84989 #>  [40020]  99.92497  99.92998 100.58330  99.68952 100.14490  99.90495 100.07997 #>  [40027]  99.91997 100.06498 100.25468  99.90996  99.82986  99.48367 100.60318 #>  [40034] 100.17485 100.16486 100.52860  99.54898  99.88994  99.31264 100.17485 #>  [40041] 100.20479 100.06498 100.02500  99.88994 100.33444  99.83987  99.79980 #>  [40048] 100.10494  99.71459 100.38924 100.22974 100.05998  99.96499  99.64437 #>  [40055] 100.09495  99.91997  99.80982 100.16986 100.00500  99.94498  99.97000 #>  [40062]  99.95499 100.54352  99.80982  99.58414 100.09495  99.87492 100.12492 #>  [40069] 100.12492  99.60422  99.24213 100.18483 100.20479 100.17984  99.64437 #>  [40076]  99.76973 100.25966  99.87492  99.92497 100.53358 100.07997  99.88493 #>  [40083] 100.27961  99.87993 100.18982 100.03000  99.97000  99.79980 100.27462 #>  [40090] 100.30952  99.87993 100.40916 100.30952  99.98500  99.81984 100.27961 #>  [40097] 100.11993 100.01000 100.34939  99.52387 100.00000 100.16986  99.95499 #>  [40104]  99.54898 100.37928  99.79479 100.20479  99.76472 100.25468  99.96499 #>  [40111] 100.07497  99.80982 100.30952  99.91496 100.50871  99.61426  99.80481 #>  [40118] 100.11493  99.69955  99.53391 100.05498 100.08996  99.96499  99.35291 #>  [40125]  99.22701  99.48869  99.73465 100.19481 100.45397 100.25966 100.07497 #>  [40132] 100.05998 100.05998 100.15488  99.73966 100.20978  99.87993  99.85990 #>  [40139] 100.08996 100.12492  99.72963  99.80481 100.26964  99.97500 100.08496 #>  [40146]  99.99500 100.14490 100.20978  99.93498  99.81483 100.44899 100.25966 #>  [40153] 100.35935 100.44401 100.28460  99.90996  99.83987 100.34441 100.26964 #>  [40160] 100.13491  99.90996 100.46890 100.04999  99.95999  99.72963  99.91496 #>  [40167] 100.09495 100.01000  99.88493  99.77976 100.02000 100.52363 100.07997 #>  [40174]  99.63935  99.76973  99.41831  99.28243 100.37430 100.08996  99.74467 #>  [40181]  99.86992 100.02000 100.23971  99.38813 100.17984 100.58330 100.13990 #>  [40188]  99.95499  99.86491 100.15987  99.83987  99.82485 100.12492  99.77976 #>  [40195] 100.01000  99.99500  99.71459 100.13990  99.38310 100.17984  99.81483 #>  [40202]  99.76472  99.99000 100.49378  99.85489 100.29955  99.64939  99.99000 #>  [40209] 100.32946  99.75470 100.39920  99.96499  99.99500  99.98000  99.83486 #>  [40216]  99.54898 100.40418 100.06998 100.08496 100.10494  99.93998 100.33942 #>  [40223]  99.79479 100.19980  99.93998  99.80982 100.46890  99.87492 100.20479 #>  [40230] 100.17485 100.11993  99.93498 100.25468  99.68450 100.38426 100.27961 #>  [40237]  99.76973  99.96499 100.15488  99.67447 100.04999 100.48383  99.83987 #>  [40244] 100.01000 100.00000 100.26465 100.26964  99.33781  99.95499 100.55347 #>  [40251]  99.79479  99.38310  99.86992  99.91496  99.96499  99.76973 100.12492 #>  [40258] 100.29955 100.37928  99.57911  99.83987  99.73966  99.70958  99.90495 #>  [40265]  99.65942  99.78978  99.81984  99.83486 100.36932 100.06998  99.92998 #>  [40272]  99.82986  99.82986  99.77475  99.99500  99.71961  99.97000 100.25468 #>  [40279]  99.80481 100.21477  99.68952  99.75470  99.75470  99.83987  99.95499 #>  [40286] 100.02500 100.01000  99.37807  99.48869 100.12992  99.78477 100.34939 #>  [40293]  99.87993 100.35935  99.72462 100.10494  99.88994 100.02500 100.17984 #>  [40300] 100.01500 100.17984 100.20978  99.91496 100.45397 100.20978  99.79980 #>  [40307] 100.71743 100.22475 100.08996 100.18982  99.81984 100.01000 100.45895 #>  [40314]  99.58916 100.39920 100.44899 100.52363 100.03000  99.90495 100.14490 #>  [40321]  99.59920  99.79980  99.85489 100.51368  99.88994  99.88493  99.61928 #>  [40328] 100.36434  99.73966 100.08996 100.02000 100.12992 100.22475  99.76472 #>  [40335]  99.74467 100.32447  99.92497 100.06498  99.82986 100.17485  99.56907 #>  [40342] 100.03999  99.59920 100.30454  99.66945 100.29955  99.45853  99.70456 #>  [40349] 100.31949 100.40418  99.99000  99.99500  99.62429 100.05498  99.66444 #>  [40356] 100.42908  99.78978  99.92497  99.82485 100.23971  99.78477 100.46392 #>  [40363] 100.47885  99.75971  99.69955 100.08496 100.10994  99.82485 100.10494 #>  [40370] 100.33444 100.42410 100.04499  99.54898 100.18483  99.83486 100.30952 #>  [40377] 100.20978  99.64939 100.04999  99.92998  99.95999  99.78477  99.75971 #>  [40384] 100.25468 100.27462 100.14989  99.90996  99.46859 100.08496  99.82986 #>  [40391]  99.35291  99.84989  99.78978  99.69453 100.08496  99.60422  99.46356 #>  [40398] 100.58330  99.90996  99.64939 100.60318 100.04999 100.29955  99.93998 #>  [40405] 100.19980 100.12492  99.91997 100.12992 100.10494 100.13990 100.16986 #>  [40412] 100.01000  99.77976  99.98000  99.91997  99.67949 100.08496 100.09495 #>  [40419]  99.75470 100.44899 100.03499 100.13990 100.21976  99.92497  99.95999 #>  [40426] 100.36932  99.84488  99.76472 100.08996  99.96499 100.03000 100.36932 #>  [40433] 100.15488  99.51884 100.61809  99.98000  99.90495 100.32447  99.96499 #>  [40440] 100.41414 100.06498 100.23971  99.55903  99.48367 100.40916 100.19980 #>  [40447]  99.90495 100.26964 100.12492 100.42410 100.09995 100.14989 100.11993 #>  [40454]  99.97500 100.22475 100.30454 100.11993  99.79479 100.01500 100.08996 #>  [40461] 100.28958 100.02000 100.26465 100.28460  99.80481 100.51368 100.37430 #>  [40468]  99.97000  99.75971 100.22475 100.18483  99.87492 100.35437  99.39819 #>  [40475] 100.14989 100.03999 100.15488  99.84989 100.14989 100.18483  99.50879 #>  [40482]  99.91997 100.16986 100.12492 100.35437  99.67447  99.78477 100.19980 #>  [40489] 100.26964 100.27462  99.86491  99.86992 100.13491  99.42334 100.32946 #>  [40496]  99.58414 100.21976 100.03000  99.84989  99.75971  99.85489  99.53391 #>  [40503]  99.88493  99.93998 100.06998  99.68450  99.37303  99.81483 100.42908 #>  [40510] 100.22475  99.53391 100.03999  99.86491  99.85990  99.91997 100.04999 #>  [40517] 100.07997 100.11493 100.15987  99.67949  99.40322 100.25966  99.53894 #>  [40524] 100.43904 100.00500 100.62803  99.82986  99.61928  99.65942  99.42334 #>  [40531]  99.81483 100.42410  99.90996  99.84488 100.04499  99.90495  99.83987 #>  [40538]  99.77976 100.17485 100.34939  99.72462  99.23709 100.10994  99.97000 #>  [40545]  99.77475 100.36434 100.34939 100.61312 100.19980 100.36434 100.30454 #>  [40552]  99.94999  99.76472 100.23472  99.72462 100.58330  99.94999 100.16486 #>  [40559] 100.20479  99.67447  99.81984  99.62429  99.57409  99.75470  99.90996 #>  [40566]  99.55401 100.51368  99.89494  99.75470 100.39422 100.46890  99.94999 #>  [40573]  99.38813  99.85489 100.38924  99.78477 100.30952  99.90996  99.93498 #>  [40580] 100.01500  99.95999  99.86491  99.78477  99.88493  99.88493 100.29955 #>  [40587] 100.25966 100.55844 100.11493 100.36932 100.05998 100.14989  99.99500 #>  [40594] 100.39920  99.83486  99.95499  99.70958 100.25966  99.76472  99.98000 #>  [40601]  99.89494 100.43406 100.34939 100.03499 100.42908 100.39920 100.05998 #>  [40608] 100.33942  99.92998 100.05998  99.76973  99.59920 100.18483 100.35935 #>  [40615]  99.81984  99.31767 100.01500 100.30952 100.61312  99.89995  99.67949 #>  [40622] 100.05998 100.14490 100.12492  99.76472  99.93998  99.69453 100.34939 #>  [40629] 100.19481  99.78477 100.12992  99.53391  99.90495 100.08996  99.93998 #>  [40636]  99.95499  99.73465  99.92998  99.62429  99.67949  99.73966  99.76973 #>  [40643]  99.78477 100.59821  99.61928  99.98000  99.79479  99.90495 100.27462 #>  [40650]  99.79980  99.53391  99.67447 100.03499 100.20978  99.46356 100.05998 #>  [40657] 100.38924  99.62931  99.77976  99.96499 100.17485 100.31949 100.09995 #>  [40664]  99.72963  99.94999 100.01000 100.25966 100.33942  99.71961 100.13990 #>  [40671]  99.86491 100.08496 100.07497  99.42334  99.49874  99.79479 100.03000 #>  [40678]  99.93998 100.28460 100.21976  99.93998 100.05998  99.87993 100.20479 #>  [40685] 100.37430 100.14490  99.52387 100.36434  99.68450  99.69955 100.41414 #>  [40692] 100.30454 100.26465 100.31451  99.77976 100.20978 100.33942 100.26465 #>  [40699] 100.45895 100.23472 100.06498 100.38426 100.11493  99.72462  99.75470 #>  [40706] 100.02000  99.47361 100.15488  99.58916 100.17984  99.53391 100.18982 #>  [40713]  99.50377  99.97500  99.79980  99.84488  99.62429 100.00500  99.99500 #>  [40720] 100.16486  99.78477  99.58916 100.64293 100.23472 100.16986  99.72462 #>  [40727] 100.15987 100.21477  99.79980  99.87492 100.68267 100.03999  99.33781 #>  [40734] 100.03499 100.22475 100.44401  99.82485 100.34441 100.25468  99.63935 #>  [40741] 100.00500 100.01500  99.55401  99.74969 100.20978 100.02000  99.31767 #>  [40748] 100.46890 100.39920 100.14490  99.85990  99.53894 100.59821 100.10994 #>  [40755] 100.56838  99.78477  99.70958 100.09995 100.24969 100.27961  99.88493 #>  [40762]  99.87492  99.79479 100.02500 100.05498  99.63935  99.71961  99.91496 #>  [40769] 100.07497 100.27462 100.34939  99.98500  99.81483 100.46392  99.64939 #>  [40776] 100.04999  99.93498  99.86992  99.83987  99.48869  99.38310  99.98000 #>  [40783] 100.02000  99.97000  99.93998  99.88994  99.84989  99.73465 100.07497 #>  [40790] 100.12492  99.68952  99.99000  99.37807 100.14989 100.37430 100.03999 #>  [40797]  99.76973  99.85489  99.72963  99.62931 100.14989 100.19980 100.29457 #>  [40804]  99.75971  99.65942  99.77976 100.24969  99.56405  99.48367 100.40916 #>  [40811]  99.99500  99.97500  99.55401  99.95499 100.17984  99.87993 100.30952 #>  [40818] 100.47885 100.38924  99.89494  99.83987 100.04499  99.41328  99.64437 #>  [40825] 100.18982 100.13990 100.57833  99.50879  99.82485  99.74467 100.13491 #>  [40832]  99.78978 100.20479  99.62429  99.61426 100.14989 100.46890 100.88112 #>  [40839] 100.46890 100.17485  99.67447 100.05998  99.94999  99.85489 100.11493 #>  [40846]  99.86992  99.88493  99.90996  99.68952 100.01000  99.51382  99.81984 #>  [40853] 100.09495  99.83987 100.00500 100.15488 100.11993 100.26465 100.50373 #>  [40860]  99.98500  99.79980 100.40418 100.02500 100.11993 100.08496 100.35935 #>  [40867] 100.03499 100.27961 100.34939 100.44401  99.56405 100.22974 100.46392 #>  [40874] 100.07997  99.94999  99.93998  99.77976 100.04999 100.19481 100.20978 #>  [40881] 100.27462 100.25966 100.18483  99.62429  99.68952  99.78978  99.87993 #>  [40888] 100.04999  99.46356  99.65440 100.15488  99.51884 100.35437  99.94498 #>  [40895]  99.66945 100.40418 100.07997 100.15987 100.28958 100.12492  99.82485 #>  [40902] 100.03499  99.80481 100.38924 100.08996 100.03000 100.03000  99.19173 #>  [40909]  99.83486  99.79479  99.92998 100.07497 100.02500 100.38924  99.99500 #>  [40916]  99.54396  99.76973  99.49372 100.08996 100.27462 100.25468 100.22974 #>  [40923] 100.10494 100.06498  99.62931  99.84488 100.00000 100.01500  99.72963 #>  [40930] 100.12992 100.22475  99.93498 100.05498  99.83486  99.65942  99.62429 #>  [40937] 100.38426  99.61426  99.63433 100.02500  99.74467  99.90495 100.33444 #>  [40944] 100.02500  99.82485  99.69955 100.03000 100.49378 100.14490  99.99500 #>  [40951] 100.23971 100.36434 100.01500  99.85990  99.64437 100.65287 100.25966 #>  [40958]  99.94498  99.55903  99.60422  99.76472  99.59920  99.87993 100.19980 #>  [40965] 100.17984 100.16486  99.56405 100.18982  99.65942 100.40916 100.03000 #>  [40972]  99.09087  99.65942 100.34939 100.06498 100.36434  99.90495  99.84488 #>  [40979]  99.77475  99.91997 100.02500 100.25468 100.16986  99.95999  99.78477 #>  [40986]  99.97000 100.03999 100.22475  99.41831 100.11993  99.78978  99.67447 #>  [40993]  99.84488  99.82485 100.00000 100.42410 100.21477  99.84989 100.15987 #>  [41000]  99.51884 100.12992  99.73966 100.33444 100.06498  99.95499 100.18982 #>  [41007]  99.66444 100.62306 100.24470  99.62931  99.64939  99.81483  99.68450 #>  [41014] 100.24470  99.76472  99.60422 100.45397 100.23971  99.59418 100.20479 #>  [41021]  99.75470 100.30454 100.64790  99.92497 100.01500 100.18982  99.86992 #>  [41028]  99.92998 100.26964  99.82986  99.98500 100.24969 100.08996 100.18483 #>  [41035] 100.21976 100.31451 100.33444 100.02000 100.18982  99.91997  99.80481 #>  [41042]  99.85489 100.42908 100.48383 100.00000 100.33942 100.09995  99.75470 #>  [41049]  99.98500  99.96499  99.83987  99.90495  99.66945 100.29955  99.92497 #>  [41056] 100.13990  99.90996  99.90996  99.97000 100.32946  99.66945 100.32447 #>  [41063] 100.07497 100.54352 100.29457 100.02000  99.75971 100.07497 100.07997 #>  [41070]  99.93498 100.67274  99.96499  99.98000  99.71961  99.53894 100.55844 #>  [41077]  99.78477  99.64437 100.07997 100.33444  99.66444 100.38426 100.32946 #>  [41084]  99.69453 100.24470 100.08996  99.60422  99.86992  99.45351  99.69955 #>  [41091] 100.13491 100.17485 100.50373 100.28958  99.66444 100.07497  99.92497 #>  [41098]  99.47864  99.86491  99.71459  99.77475 100.00500 100.29955  99.14636 #>  [41105]  99.83486 100.32447  99.80982  99.96499  99.94999 100.15488  99.91496 #>  [41112] 100.39920 100.50871 100.53358  99.82485 100.39920 100.31949  99.88493 #>  [41119]  99.53391  99.63433 100.03999  99.49874 100.36932  99.78477 100.26465 #>  [41126]  99.89995 100.18982 100.12492 100.46392  99.80481 100.20978 100.06998 #>  [41133] 100.10994 100.42908  99.45853 100.23971  99.57911  99.86992 100.12992 #>  [41140] 100.01000  99.58916 100.30454 100.28460  99.71459 100.32946 100.19481 #>  [41147]  99.63935 100.31949  99.68952  99.92497  99.98000 100.30454 100.01000 #>  [41154] 100.09495 100.25966 100.19481  99.77976  99.92497 100.08496  99.57911 #>  [41161]  99.85990  99.44345  99.95499 100.24969 100.11493  99.65942  99.65942 #>  [41168] 100.44899  99.98500 100.05998 100.48383 100.28958 100.18982 100.13990 #>  [41175] 100.01000 100.49876  99.66945  99.89494  99.82485  99.72462 100.06998 #>  [41182]  99.56405 100.45397 100.23971  99.90495  99.64437  99.81984 100.01000 #>  [41189] 100.45397 100.00500  99.88994  99.98000  99.95999 100.03499  99.46356 #>  [41196]  99.93498  99.73465  99.55903  99.94999 100.73232 100.19980 100.20978 #>  [41203] 100.52860 100.03000 100.31451  99.97000 100.01000  99.67949 100.32447 #>  [41210]  99.98500  99.61426 100.45397  99.36800  99.91997  99.91496  99.68952 #>  [41217] 100.18483 100.39920  99.53894 100.08496  99.90996  99.87993  99.52387 #>  [41224]  99.95999 100.07497  99.67949  99.95999  99.79980  99.95999  99.75470 #>  [41231] 100.23472 100.25468 100.47388 100.71246 100.12492  99.56405 100.11993 #>  [41238]  99.76973  99.85990 100.14490  99.62429 100.02000  99.93998 100.45895 #>  [41245]  99.94999 100.02500 100.17485 100.04999  99.87492 100.31451 100.13990 #>  [41252] 100.03499  99.94999  99.91496  99.87492  99.80982 100.56341  99.98000 #>  [41259] 100.03000  99.87993 100.25468  99.84488  99.94498 100.08496 100.18483 #>  [41266]  99.69955  99.42334  99.76973 100.01000 100.06498 100.26465  99.53391 #>  [41273]  99.55903 100.10494 100.29955 100.28460 100.19980 100.12492  99.93498 #>  [41280] 100.00500 100.26964  99.78477 100.08496 100.47885  99.47864 100.30454 #>  [41287] 100.42410 100.50373  99.63935  99.90996  99.83486 100.48383  99.80982 #>  [41294]  99.70958 100.23971  99.94999 100.61809  99.71459  99.77976 100.17984 #>  [41301] 100.08496 100.34441 100.23971  99.98500 100.29955 100.11493 100.24470 #>  [41308] 100.00000  99.41831 100.47885 100.09995  99.84989 100.46392 100.13990 #>  [41315]  99.66945 100.03999 100.29955 100.19481  99.92497  99.80982  99.74467 #>  [41322]  99.84989  99.76973  99.76973 100.13990  99.88994  99.64437  99.92998 #>  [41329] 100.79683 100.54850 100.03999 100.16486  99.85489  99.88493 100.21976 #>  [41336]  99.62429 100.10994  99.84989  99.48367 100.31451  99.95499  99.63935 #>  [41343] 100.15987  99.60924  99.67949 100.10494  99.56405 100.31949 100.04499 #>  [41350]  99.90996 100.05998 100.63300 100.20978  99.82485  99.89995 100.38924 #>  [41357] 100.11493 100.08996 100.03999 100.44899  99.85489  99.83987 100.13491 #>  [41364] 100.24969 100.24470  99.62931 100.30952 100.65784 100.03999  99.42334 #>  [41371]  99.89494  99.84989 100.31451  99.97500  99.32271 100.04999 100.19980 #>  [41378] 100.15987  99.48367  99.85489  99.94999  99.77475  99.94999 100.24470 #>  [41385]  99.99000 100.13990 100.31451  99.67447  99.86992  99.96499  99.88493 #>  [41392] 100.10494  99.73966 100.28958  99.38813  99.69453  99.82485  99.52889 #>  [41399] 100.13491  99.67949 100.09995 100.00500  99.71961 100.54850 100.06998 #>  [41406]  99.64939  99.40825  99.89995 100.21477  99.65440  99.79479  99.96499 #>  [41413] 100.13491 100.04999  99.87993  99.43339 100.16986  99.90495 100.20978 #>  [41420] 100.04499 100.05998 100.09995  99.78477  99.85990  99.90495  99.83486 #>  [41427]  99.92497  99.90996 100.24969 100.16986  99.66444  99.99000  99.71961 #>  [41434] 100.41414  99.94498  99.68450  99.82986 100.01000 100.16486  99.89494 #>  [41441] 100.30952  99.67447 100.34441  99.77976  99.80982 100.33942 100.11493 #>  [41448] 100.02000 100.16486 100.50373 100.05498  99.83486 100.38924  99.93498 #>  [41455]  99.78978  99.67949 100.32946  99.58414  99.50377 100.23472 100.14490 #>  [41462]  99.75470  99.64939  99.80982  99.82485 100.17984  99.91496 100.80675 #>  [41469] 100.38426 100.06998 100.29457  99.94498 100.16486 100.14989  99.47864 #>  [41476] 100.42908 100.28460  99.33781 100.06998  99.49372  99.68450 100.10494 #>  [41483]  99.87993  99.79980  99.93998  99.93498 100.33942  99.63935 100.54352 #>  [41490]  99.85990  99.37303  99.66945  99.75971 100.35437 100.01000  99.88994 #>  [41497]  99.50879 100.28958 100.26465 100.04499 100.08996  99.66945  99.69955 #>  [41504]  99.87993 100.66280  99.80481  99.90996 100.40418 100.13491  99.65440 #>  [41511]  99.61928 100.06498 100.14490  99.97500 100.01000  99.84989  99.75971 #>  [41518]  99.64437  99.69955  99.84488 100.00000 100.37928  99.98500 100.13491 #>  [41525] 100.16986  99.43842  99.82485  99.97500 100.40418 100.17485  99.77976 #>  [41532]  99.80481 100.03999  99.81984  99.93498 100.30454 100.03999 100.11493 #>  [41539] 100.42410 100.14989 100.00500 100.24470 100.16486 100.12492  99.84989 #>  [41546] 100.20479  99.91496  99.97500 100.11993 100.20978 100.28958  99.42334 #>  [41553] 100.42410  99.89494  99.73465  99.81483 100.04999 100.19980 100.00500 #>  [41560] 100.44899  99.84989 100.15488 100.01000 100.11993 100.06998 100.37430 #>  [41567]  99.76973 100.18982  99.41328 100.38924  99.73966  99.64437 100.09495 #>  [41574] 100.41414 100.58827  99.84989 100.24969 100.06498  99.95999 100.06998 #>  [41581] 100.28958  99.68450  99.78477  99.55401  99.58916  99.74969  99.66444 #>  [41588] 100.08996  99.80982 100.54850 100.20978  99.90495 100.11493  99.97000 #>  [41595] 100.05998 100.08496  99.55903  99.74969 100.34441 100.01500  99.61928 #>  [41602]  99.62429  99.82986  99.83486 100.03999  99.74467 100.19481 100.05998 #>  [41609] 100.27961  99.58916  99.95499 100.27961 100.09495  99.99000  99.79479 #>  [41616] 100.34441  99.98000 100.04999  99.79479  99.84989  99.47361 100.64293 #>  [41623]  99.94999 100.23971  99.98500  99.77475 100.03000 100.17485  99.82485 #>  [41630]  99.76472 100.23971 100.25468 100.15987 100.29457  99.81984  99.62429 #>  [41637]  99.80481 100.18483 100.17485 100.26964  99.39819  99.90495 100.45895 #>  [41644]  99.48367 100.10994 100.04999  99.29250 100.42908  99.74969 100.35935 #>  [41651]  99.42334 100.22974 100.43904  99.71961 100.01500 100.50373 100.13990 #>  [41658] 100.25966  99.62429  99.98500 100.07497 100.03999 100.44899 100.23971 #>  [41665] 100.02000 100.10494 100.31451 100.28460  99.79479  99.90495  99.64939 #>  [41672] 100.21976 100.01000  99.84488  99.68450 100.32447 100.19980  99.67447 #>  [41679]  99.58916  99.59418 100.46890  99.90996  99.75470 100.18982  99.75971 #>  [41686] 100.23971  99.96499 100.38924  99.67447  99.78978  99.78477 100.05998 #>  [41693] 100.03999 100.26465  99.76472  99.96499 100.27961  99.68952 100.18483 #>  [41700] 100.34441  99.82485 100.14989 100.34939  99.95499 100.17984 100.01000 #>  [41707] 100.30952 100.18982 100.10494  99.61426 100.44401  99.95499  99.70456 #>  [41714] 100.05498  99.42837  99.80481  99.66945 100.30952 100.44401  99.62931 #>  [41721] 100.10494  99.52889 100.57336  99.70456 100.11993 100.09995 100.42410 #>  [41728] 100.08496  99.77976 100.03499  99.72462 100.34939 100.04499 100.26964 #>  [41735] 100.08996 100.22475 100.23472 100.03999  99.92497  99.97000 100.24470 #>  [41742]  99.59418  99.96499  99.93998  99.75971  99.67949 100.36932 100.30454 #>  [41749]  99.80982 100.16486  99.42837 100.24969  99.92497 100.31949  99.72462 #>  [41756] 100.00500 100.03499 100.31451 100.32946 100.20978 100.53855  99.48869 #>  [41763] 100.52860 100.50871  99.75971 100.32447  99.67447  99.77976 100.35935 #>  [41770] 100.16486  99.83486 100.20479  99.87492 100.02500  99.59418 100.47388 #>  [41777]  99.31767  99.53894 100.03000  99.58414 100.00500  99.85990 100.03999 #>  [41784] 100.11993 100.08996 100.01500 100.08496 100.16486  99.56405  99.77976 #>  [41791] 100.03499 100.50373  99.89494 100.11493 100.23472  99.98000  99.95999 #>  [41798] 100.22974 100.28958  99.89494  99.86491  99.76973  99.66945  99.25724 #>  [41805] 100.12992  99.89995 100.40916  99.48367 100.32447 100.40916 100.04999 #>  [41812]  99.63935  99.75470  99.63433 100.42908 100.24969  99.79479  99.83987 #>  [41819]  99.80982  99.49372  99.59920  99.62429  99.86992  99.46859 100.26964 #>  [41826] 100.48881 100.20479  99.69453 100.10994  99.70456 100.36932 100.05998 #>  [41833]  99.95999 100.25966 100.03499 100.04999  99.64939 100.38924  99.89995 #>  [41840] 100.10494 100.03000  99.50377  99.91997 100.19980  99.99000  99.73966 #>  [41847] 100.04499  99.92998  99.85489 100.33942  99.88493  99.97000 100.41414 #>  [41854]  99.48367 100.34441  99.89494  99.84989 100.16486  99.70456  99.98500 #>  [41861] 100.35437  99.39819 100.28460  99.82485 100.10994 100.51368  99.88493 #>  [41868] 100.46392  99.94498 100.11993  99.53894  99.74969  99.90996  99.99000 #>  [41875] 100.18483  99.58414 100.20479  99.56405  99.67949 100.24470 100.30454 #>  [41882] 100.43406 100.32447 100.09995 100.10494 100.28460  99.86992  99.95999 #>  [41889]  99.42837  99.70958 100.34441 100.35437  99.75971 100.09995 100.01000 #>  [41896] 100.03999  99.88493 100.25966  99.63433  99.77976  99.58414  99.56907 #>  [41903]  99.92497  99.57911  99.72462 100.43904 100.09995  99.79980 100.20978 #>  [41910] 100.01000 100.13990 100.12992 100.00500  99.65942 100.33942  99.77976 #>  [41917] 100.05498  99.66945  99.86491 100.25966  99.85489 100.02500  99.78477 #>  [41924]  99.91496 100.26465 100.24470  99.74969 100.20479 100.18483 100.25966 #>  [41931]  99.92998 100.03000  99.99500  99.70958  99.80481  99.79479 100.04999 #>  [41938]  99.68450 100.02000 100.15987  99.67949  99.72462  99.71961 100.06998 #>  [41945] 100.20978 100.01000 100.40418 100.16486 100.24470  99.93498 100.14989 #>  [41952]  99.47864  99.67447  99.78477  99.70958  99.73465  99.79479  99.80481 #>  [41959] 100.17984  99.86992 100.09995 100.22974  99.80481 100.42410  99.69453 #>  [41966] 100.07997 100.22974 100.30952 100.14490  99.82986  99.87492 100.04999 #>  [41973] 100.50871  99.92998  99.94999 100.20479  99.46859 100.40418  99.79980 #>  [41980]  99.60422  99.85489 100.44401  99.83486 100.14989  99.90495 100.30454 #>  [41987] 100.14490 100.05998  99.98500 100.65784  99.81483 100.13990 100.10494 #>  [41994]  99.74969 100.34939  99.87492  99.70958 100.14490  99.82485  99.47864 #>  [42001]  99.61928  99.90996 100.21976 100.17485 100.03999 100.22475 100.55844 #>  [42008]  99.68952  99.91496  99.58916  99.64437 100.06998 100.30952 100.21477 #>  [42015] 100.03000 100.08996  99.85990  99.84989  99.95999  99.95499 100.29955 #>  [42022]  99.78978  99.54898  99.74467 100.63300 100.31949  99.72963  99.89494 #>  [42029] 100.24470  99.76973  99.18669  99.45853  99.45351  99.88493  99.70958 #>  [42036]  99.93998 100.30952 100.05998 100.36434  99.95999 100.21477  99.66444 #>  [42043] 100.03999  99.72462  99.95499 100.12492 100.03499 100.07497 100.17984 #>  [42050]  99.85990  99.86992  99.61928 100.25966 100.27961 100.10494  99.97000 #>  [42057] 100.10494  99.98000 100.12492 100.60318  99.77475  99.70456 100.00000 #>  [42064]  99.86992 100.24969  99.90996 100.25966 100.11993 100.07997  99.85990 #>  [42071]  99.91997 100.12492 100.16486  99.71961  99.77976  99.75971  99.86491 #>  [42078]  99.89494  99.54396  99.86992  99.91997 100.48881  99.65942  99.69955 #>  [42085] 100.47388 100.22475  99.58916 100.56341 100.15488 100.38924 100.38426 #>  [42092] 100.04499  99.49372 100.25966  99.66945  99.65942 100.26964  99.78978 #>  [42099] 100.10994  99.90996 100.44401 100.13491  99.64939  99.68952 100.06498 #>  [42106]  99.88493 100.09495  99.97000  99.80982  99.83987  99.92497 100.31949 #>  [42113] 100.19980 100.01500  99.49874 100.00500  99.76973 100.31949 100.62306 #>  [42120] 100.24470  99.86491  99.84989  99.29753 100.43904  99.91496  99.66945 #>  [42127]  99.88493 100.21976 100.21477  99.93998 100.62306  99.91997 100.16986 #>  [42134]  99.92497 100.56838 100.02500 100.36932  99.84989 100.30952 100.36434 #>  [42141] 100.20479 100.60318  99.56907  99.84488  99.53894  99.83486  99.65440 #>  [42148]  99.95999  99.53391 100.12492  99.62429  99.94999  99.18669 100.08996 #>  [42155]  99.77976 100.33942  99.89995  99.45351 100.06498 100.18483 100.86129 #>  [42162] 100.48881  99.81483 100.64293  99.83987  99.72462 100.29457  99.90495 #>  [42169] 100.07497 100.08996  99.67949  99.94999  99.82485 100.32447 100.23971 #>  [42176] 100.21477 100.42908 100.00000  99.59920  99.58916  99.70958 100.21477 #>  [42183]  99.48869  99.29250  99.50879 100.00000 100.05498 100.27961 100.17485 #>  [42190] 100.26964 100.39920  99.93498 100.19481 100.37430  99.87993  99.82485 #>  [42197] 100.17984 100.24470  99.79980  99.36297 100.34939 100.09995  99.56907 #>  [42204]  99.91997 100.04999  99.99000 100.14490 100.22475  99.82986  99.64437 #>  [42211]  99.79479  99.55401 100.03499  99.63935  99.99000  99.90495  99.98500 #>  [42218] 100.25468 100.23971 100.37928 100.10494  99.56907  99.25724  99.98000 #>  [42225] 100.13491 100.32946  99.68952  99.78978  99.28243 100.13990  99.68952 #>  [42232]  99.95499 100.07497 100.38924  99.89995 100.16486 100.43904 100.06498 #>  [42239] 100.53358  99.99500  99.89995 100.03999  99.70456  99.92998 100.04499 #>  [42246] 100.08496 100.13990 100.16986 100.20479  99.78978 100.07497 100.25468 #>  [42253]  99.58916 100.24969  99.48869 100.36434  99.73465 100.32447 100.01500 #>  [42260]  99.73465 100.02500 100.34441 100.20978  99.76973 100.23472  99.52387 #>  [42267] 100.01500 100.19980  99.75470  99.68952 100.22475 100.21477  99.74467 #>  [42274]  99.74467 100.22475 100.50871  99.85990 100.40418 100.49876  99.37303 #>  [42281] 100.00000 100.23971  99.79479 100.53855  99.62931  99.57409  99.67949 #>  [42288]  99.95499 100.17984  99.94999 100.25966  99.95499 100.43406 100.06998 #>  [42295] 100.52860 100.01500  99.76472  99.96499 100.47388 100.22974 100.06998 #>  [42302]  99.56405  99.63935  99.68450  99.66945  99.91997  99.86491 100.33942 #>  [42309]  99.94999  99.50879 100.19481  99.74969 100.26964  99.80481  99.68952 #>  [42316]  99.60422  99.86491  99.92998  99.95499 100.34939 100.49378  99.56907 #>  [42323] 100.02000 100.15488 100.35437 100.06998 100.42410 100.36434  99.86491 #>  [42330] 100.54352  99.72462  99.72963  99.50879  99.49372  99.95999  99.92497 #>  [42337] 100.10994  99.49372  99.87993 100.28958  99.48367 100.25468  99.68450 #>  [42344] 100.09995 100.08496 100.20479  99.89494 100.38426  99.73465 100.54850 #>  [42351] 100.14989 100.36434  99.54898  99.70456 100.04999  99.71459  99.75971 #>  [42358]  99.83987 100.33942  99.99500 100.00500  99.72963 100.06498  99.78978 #>  [42365] 100.26465  99.92998  99.97500  99.48367 100.14490  99.95999 100.08996 #>  [42372] 100.01500  99.60924  99.78978 100.13491  99.62931 100.38924  99.56907 #>  [42379] 100.14490 100.07497  99.68450  99.88493  99.29250 100.47885 100.19481 #>  [42386] 100.50871 100.50871  99.66444 100.13491 100.13990  99.92497 100.05998 #>  [42393] 100.05498  99.81984 100.21976 100.02500 100.27961 100.03000  99.63935 #>  [42400] 100.16986 100.46890 100.55347  99.77475 100.28958  99.78978 100.29457 #>  [42407]  99.99000 100.16986  99.74467 100.21477 100.21976 100.03000  99.87492 #>  [42414]  99.56405 100.24470 100.39920 100.30454  99.69955 100.00000 100.15488 #>  [42421]  99.40322 100.32447 100.28958 100.42908  99.22701  99.95499 100.00500 #>  [42428] 100.15987 100.32946  99.98500 100.70253  99.64939 100.53855 100.37430 #>  [42435]  99.78477 100.05998  99.58916 100.22475 100.19481  99.86491 100.18982 #>  [42442] 100.15987  99.79479 100.34939 100.03499  99.50879  99.62931 100.27462 #>  [42449] 100.09495 100.30454 100.11993 100.00000  99.82986  99.95999 100.16986 #>  [42456]  99.88493 100.20479 100.11993 100.40916  99.63433  99.86992 100.03499 #>  [42463]  99.74467  99.92497 100.51368  99.17661  99.90495 100.01500 100.38426 #>  [42470] 100.26964 100.11993 100.34441 100.10994 100.42410 100.32946 100.20479 #>  [42477] 100.20978  99.53391  99.72462 100.30454  99.84989 100.00000  99.82485 #>  [42484]  99.83987  99.89494  99.57911 100.37430 100.02500  99.68450  99.75971 #>  [42491] 100.11993  99.82986  99.67447 100.30952 100.26465 100.07997 100.05498 #>  [42498] 100.34441 100.13990 100.04499  99.86992  99.73966 100.24470 100.12992 #>  [42505] 100.01000 100.15488  99.77475  99.64939 100.00000  99.75971 100.10994 #>  [42512]  99.89494  99.75971  99.38310  99.78978 100.08996  99.94498  99.93498 #>  [42519] 100.49378  99.49874 100.03499 100.14490  99.99500  99.39316 100.48881 #>  [42526] 100.30952  99.57911  99.23709 100.11993  99.67949 100.41414 100.03999 #>  [42533]  99.92998 100.23971  99.73465 100.26465 100.02000  99.69955 100.35437 #>  [42540] 100.10494 100.35437 100.21976 100.56838 100.34441  99.88994 100.48881 #>  [42547] 100.14989 100.41912  99.97000 100.08996  99.73465  99.59920  99.88994 #>  [42554] 100.56341  99.91496  99.58916 100.46392 100.00000 100.13990  99.85489 #>  [42561] 100.13990 100.03999 100.31949  99.66444  99.63433  99.91997  99.94999 #>  [42568]  99.67949 100.22974 100.00500  99.91496 100.01000 100.24470 100.05998 #>  [42575] 100.37928  99.85990  99.51884 100.13990 100.42410  99.82986  99.55903 #>  [42582]  99.69453  99.72462 100.06498 100.23472  99.90495 100.15987  99.90495 #>  [42589] 100.56341 100.55347  99.69453 100.36434 100.25468  99.72963  99.78477 #>  [42596] 100.22475  99.28243 100.01000 100.20978 100.21477  99.95499  99.87492 #>  [42603] 100.17485 100.21477 100.17485 100.36932 100.00500 100.00000  99.84488 #>  [42610] 100.34441  99.35291  99.87492  99.67447 100.59821  99.90996  99.66444 #>  [42617]  99.89995  99.59920  99.80481 100.80675  99.57409 100.18483  99.95499 #>  [42624] 100.03999  99.47361  99.87993  99.63935 100.37430  99.52889  99.90996 #>  [42631] 100.11493 100.20978  99.71961  99.94498  99.58916 100.55844 100.44899 #>  [42638] 100.17984 100.00500 100.08496 100.34441 100.49876 100.20479 100.33444 #>  [42645] 100.27961 100.34939 100.05498  99.40825  99.61426 100.03499  99.66444 #>  [42652] 100.21477 100.36434  99.81984 100.38426  99.93498  99.97000 100.01000 #>  [42659] 100.56838  99.41831  99.82986  99.71459  99.72963  99.85990  99.90495 #>  [42666] 100.24969  99.43339 100.29457 100.18483  99.85489  99.91997  99.87492 #>  [42673]  99.71961 100.43904  99.71961 100.27961  99.95999  99.48869 100.51865 #>  [42680]  99.83486  99.28243  99.44345  99.80481  99.69955 100.34441  99.72462 #>  [42687]  99.84989 100.34939  99.60924  99.86992  99.89494  99.98500  99.80481 #>  [42694] 100.19980  99.95499 100.05498  99.73966  99.92998 100.21477  99.87492 #>  [42701] 100.03000  99.89494 100.13491 100.53358  99.94999  99.94498 100.49378 #>  [42708]  99.80982  99.77475  99.82986 100.41912 100.41414  99.87993  99.91997 #>  [42715]  99.89494  99.76973  99.51884 100.44899 100.22974  99.87993  99.57409 #>  [42722] 100.03499 100.18982  99.93998 100.02500  99.87492 100.36434 100.23472 #>  [42729] 100.09995 100.45397  99.84989 100.04999  99.78978 100.07497 100.21976 #>  [42736]  99.59920  99.84488 100.19481 100.36434 100.01000 100.30952  99.99500 #>  [42743]  99.90996  99.84989  99.84488 100.04499 100.13990  99.64437  99.81483 #>  [42750] 100.17984  99.94498 100.14989  99.71459 100.21477 100.07497 100.23971 #>  [42757]  99.71961  99.92998  99.86491  99.81984  99.68952 100.37928  99.70958 #>  [42764]  99.63935 100.24470  99.98000  99.81984 100.03499  99.92497 100.20978 #>  [42771] 100.00000 100.07497 100.23472 100.05998 100.00000 100.28460  99.66444 #>  [42778]  99.97500 100.11493  99.59418 100.32447  99.97000  99.75470 100.10494 #>  [42785]  99.92998  99.34284 100.47388  99.95999  99.80481  99.72462 100.27462 #>  [42792] 100.42410 100.11993 100.03000 100.13491 100.36434 100.50871 100.32946 #>  [42799] 100.02500 100.31451  99.90495 100.11993 100.09495  99.79479 100.17485 #>  [42806] 100.11493 100.30952  99.78477  99.80481 100.08996  99.81483 100.32447 #>  [42813]  99.88493 100.00500 100.23971 100.10494  99.69453 100.45895  99.60422 #>  [42820] 100.29457  99.77475 100.05998 100.37430 100.16986 100.15488 100.06498 #>  [42827]  99.65440  99.87993 100.48881  99.33781 100.01000 100.10494 100.52363 #>  [42834]  99.83987 100.22475  99.71961  99.84989 100.47388  99.77475  99.91496 #>  [42841] 100.22974  99.80481 100.06498  99.88994 100.02500  99.69453 100.10494 #>  [42848]  99.99000  99.63433  99.76973 100.23971 100.04499  99.77475  99.70958 #>  [42855] 100.47388  99.90996 100.03499 100.76210 100.20978  99.69955 100.40916 #>  [42862]  99.53391 100.01000 100.20479 100.33444 100.21976 100.04499  99.41328 #>  [42869] 100.18982 100.32447 100.21976 100.36434 100.61809 100.11493 100.02000 #>  [42876]  99.97000 100.40418 100.05498 100.20978  99.46859  99.83486  99.84989 #>  [42883]  99.58414  99.82485  99.78978  99.56405  99.96499 100.37928  99.73966 #>  [42890] 100.01000  99.58414  99.65942 100.08496 100.83154  99.78978  99.98500 #>  [42897]  99.55401 100.24470 100.27961  99.63935 100.01000  99.43842 100.18982 #>  [42904] 100.12992 100.10994 100.18483 100.11993 100.14989 100.40418 100.18483 #>  [42911] 100.16486  99.98500  99.58916  99.70958  99.90495 100.17984 100.14989 #>  [42918]  99.64437 100.55347  99.88994  99.85489  99.79479 100.29457 100.33444 #>  [42925]  99.72462  99.66444 100.18982  99.59920 100.16486  99.50879  99.92998 #>  [42932] 100.28460  99.73966 100.17984 100.34939  99.88994  99.81984 100.08496 #>  [42939]  99.81984  99.68450  99.92998  99.44848 100.09495  99.92497  99.71459 #>  [42946] 100.31949 100.12492 100.31451  99.38310 100.11493  99.92497 100.06998 #>  [42953] 100.19481 100.11493 100.26465  99.99000  99.86992 100.45895  99.80481 #>  [42960]  99.78978  99.83987 100.42908  99.86491 100.05498 100.51865  99.60422 #>  [42967]  99.67447 100.28958 100.25966 100.21477 100.01000 100.12992  99.97500 #>  [42974]  99.75971  99.75971  99.91496 100.25468 100.25468 100.26465  99.86491 #>  [42981]  99.98500  99.81984  99.71961 100.31949 100.01000  99.65440 100.03000 #>  [42988]  99.49874 100.11493 100.28958  99.92998 100.41414 100.17984  99.99000 #>  [42995] 100.41414  99.74969  99.66444  99.58916  99.24717  99.92497  99.91496 #>  [43002] 100.01500 100.07997 100.02500 100.32946  99.98000  99.98500 100.46392 #>  [43009] 100.14490 100.47885 100.38426 100.16486 100.15987  99.76472  99.89494 #>  [43016] 100.04499 100.11993  99.92497  99.80982 100.36932  99.32774  99.62931 #>  [43023]  99.82485 100.14490 100.35437  99.56907 100.05998 100.38426 100.03499 #>  [43030] 100.18483 100.13990  99.67447 100.09995  99.60422  99.84989  99.87993 #>  [43037] 100.00000 100.22974 100.32946  99.68952  99.75971 100.37928 100.51368 #>  [43044] 100.66777  99.68450  99.89995  99.82986  99.64437  99.94498 100.51865 #>  [43051]  99.97000 100.17485 100.41912 100.12992 100.00000  99.59920  99.37807 #>  [43058] 100.01000  99.66444  99.86491 100.03499 100.04999  99.46356  99.96499 #>  [43065] 100.39920 100.30952 100.24470 100.02000 100.12492  99.97000  99.67949 #>  [43072] 100.03499  99.59920  99.86491 100.31949 100.12492 100.09995  99.41328 #>  [43079] 100.23971  99.67949 100.31949 100.09495 100.02000 100.33942  99.93998 #>  [43086]  99.85990  99.52889  99.90495  99.88493 100.16486  99.44345 100.32447 #>  [43093] 100.32946 100.12992  99.63935 100.10994  99.47864 100.01500  99.98000 #>  [43100]  99.73966  99.96499 100.09495  99.93998 100.08996 100.19980  99.81984 #>  [43107] 100.19481  99.55401  99.96499  99.99500  99.71459  99.93498 100.35935 #>  [43114] 100.00500 100.30952 100.04499 100.45895  99.95499  99.61426 100.12492 #>  [43121] 100.14490  99.87492 100.39422  99.97500  99.83486  99.84488 100.35935 #>  [43128] 100.34441 100.10494  99.84989 100.02000 100.35437 100.20479  99.57911 #>  [43135]  99.81984 100.30454  99.88493 100.52363 100.08496  99.65942  99.76973 #>  [43142] 100.71743 100.10994  99.51884 100.36434  99.82986  99.97000 100.09495 #>  [43149] 100.53855  99.79479 100.10994 100.13990  99.48869  99.80481  99.74467 #>  [43156] 100.38924 100.17984  99.75470  99.47864  99.75470 100.48881  99.78978 #>  [43163]  99.57911 100.31451 100.01500 100.03000 100.12992 100.30952 100.03000 #>  [43170] 100.17485 100.12492 100.12492  99.85489 100.46890 100.31451 100.08996 #>  [43177] 100.10994 100.15987  99.76973 100.18982 100.32447  99.95999  99.81984 #>  [43184]  99.60924 100.16986 100.26964 100.02500  99.77976 100.69260  99.95999 #>  [43191] 100.20978  99.93498  99.72963 100.01500  99.85990  99.75971  99.71961 #>  [43198]  99.62931 100.12492 100.05998 100.03999 100.22974  99.35794 100.23472 #>  [43205]  99.52387 100.16486 100.05498  99.98500  99.71961 100.08496 100.17984 #>  [43212] 100.28460 100.08996 100.07497 100.28958 100.08496  99.71459  99.96499 #>  [43219]  99.75470 100.28958  99.69453  99.98500  99.99000  99.76472  99.55903 #>  [43226]  99.90495  99.83987 100.24969  99.58916  99.65440  99.89494  99.80481 #>  [43233] 100.26465  99.82986 100.22974 100.38426 100.06998 100.54352 100.07497 #>  [43240] 100.32447 100.26465  99.88493 100.24470 100.21976 100.08496 100.28958 #>  [43247] 100.22974 100.02500  99.92497 100.47885 100.48383  99.72462 100.45397 #>  [43254]  99.80982  99.67447  99.72963 100.22475 100.13491  99.96499  99.71961 #>  [43261]  99.58916  99.98000 100.20479  99.80481  99.42334  99.66444 100.09995 #>  [43268]  99.56405 100.32447 100.22974 100.01500  99.70456 100.08496  99.95499 #>  [43275] 100.06998  99.64939  99.98000 100.05998  99.43842 100.32447  99.82986 #>  [43282] 100.12992 100.50871  99.84488  99.86491  99.72462  99.56907  99.78477 #>  [43289]  99.60924 100.49876  99.79980  99.68450 100.10994  99.88994  99.87492 #>  [43296]  99.71961  99.89995 100.10994  99.89995  99.75971  99.79980  99.52387 #>  [43303] 100.01000 100.19481  99.74969  99.81984  99.97500 100.39920  99.99000 #>  [43310] 100.19980  99.76472  99.95999 100.47885  99.99000 100.50871 100.17984 #>  [43317] 100.52363  99.86491  99.84989 100.17984 100.37430 100.03000  99.78477 #>  [43324] 100.14989 100.29955  99.85990 100.32447  99.87993 100.42410 100.42908 #>  [43331]  99.63935  99.77475  99.66444 100.35935  99.84488 100.23971  99.86992 #>  [43338] 100.12492  99.89494 100.21477  99.94999  99.93998  99.53894  99.51884 #>  [43345] 100.15488  99.86491 100.21976  99.98000 100.07997 100.22475 100.39422 #>  [43352]  99.97000 100.06998  99.99000  99.71961 100.00000 100.04999  99.41328 #>  [43359] 100.02500  99.58916 100.33942 100.37430  99.89494 100.12492  99.86992 #>  [43366] 100.24470 100.38426  99.92497 100.46392  99.88994 100.13491  99.77976 #>  [43373] 100.15987  99.79479 100.47388 100.25966 100.34939  99.88994  99.68450 #>  [43380] 100.26465 100.15987  99.43339 100.12492  99.90495  99.97500 100.01000 #>  [43387]  99.94498  99.91496 100.38924  99.72462  99.49372 100.46392  99.52889 #>  [43394] 100.39920  99.71961 100.00500  99.83486  99.98500  99.68952  99.96499 #>  [43401] 100.02500 100.40916 100.60815  99.68952  99.92998  99.63935  99.64437 #>  [43408]  99.82986 100.00000 100.37430 100.24969  99.78477 100.55844 100.11993 #>  [43415] 100.24969  99.62931 100.17485  99.95999  99.98000 100.10994  99.89995 #>  [43422]  99.74969  99.86491  99.99000  99.85990  99.76973  99.50377  99.54396 #>  [43429] 100.09495  99.66945 100.06998  99.86992  99.77475  99.90996  99.70456 #>  [43436] 100.44401  99.64437 100.24969 100.18982  99.81483 100.33444  99.49874 #>  [43443] 100.44401 100.18982 100.72735  99.96499 100.35935  99.50377  99.84989 #>  [43450]  99.99000  99.83987  99.93998 100.20479  99.67949 100.41414  99.95499 #>  [43457] 100.25966 100.32447  99.90996 100.45397 100.25966 100.30454 100.09995 #>  [43464] 100.14490 100.18483  99.77976  99.83987  99.92497 100.04999  99.83486 #>  [43471] 100.13491 100.38426 100.20978  99.67447 100.13491  99.96499 100.39422 #>  [43478]  99.84989 100.16986  99.90495  99.56405 100.07497 100.43406  99.82485 #>  [43485] 100.17984 100.62803 100.07997 100.04999  99.61928 100.13990  99.64939 #>  [43492] 100.44899  99.59920  99.95999 100.06498 100.20479  99.92497  99.53894 #>  [43499] 100.46890 100.17984  99.99000 100.44899  99.55401  99.82485 100.00500 #>  [43506]  99.94999 100.04999  99.69453 100.25468 100.22475  99.79980  99.51884 #>  [43513]  99.96499 100.01000 100.57336 100.41414  99.92497  99.58916  99.92497 #>  [43520] 100.30952 100.54850  99.73465 100.01500  99.59920  99.62429  99.61928 #>  [43527] 100.51865 100.00500 100.00500  99.73966  99.84488  99.81984 100.18483 #>  [43534] 100.34441 100.71743 100.52363 100.62306  99.84488  99.48367  99.95999 #>  [43541] 100.11493 100.61809 100.43904 100.32447 100.13491  99.90996  99.95999 #>  [43548]  99.93998 100.13990  99.82986 100.52363 100.15488  99.58916  99.71961 #>  [43555] 100.32447 100.04499 100.49378  99.64437  99.64437 100.39920  99.75971 #>  [43562]  99.74969  99.49372  99.56405  99.95499  99.71961  99.42334 100.08496 #>  [43569] 100.39920 100.35935 100.21976  99.60422 100.07497  99.73465  99.83486 #>  [43576]  99.50879 100.02000  99.71459 100.25966  99.82986 100.16486 100.03999 #>  [43583]  99.81984  99.61928  99.75971  99.67447  99.90996 100.44401  99.86992 #>  [43590] 100.15488 100.03999 100.60318  99.92497 100.25966 100.06498 100.02000 #>  [43597] 100.01500  99.96499  99.94999  99.97000 100.24969  99.52889  99.88493 #>  [43604] 100.03000 100.30454 100.21976  99.82986  99.86491 100.29457 100.28958 #>  [43611]  99.88493  99.71961  99.74467 100.11993  99.79479 100.30454  99.65942 #>  [43618]  99.94498 100.46890  99.69453 100.17485 100.33444 100.50871  99.54898 #>  [43625] 100.09995 100.14490  99.79479 100.27462 100.26964 100.47885  99.86491 #>  [43632] 100.23472 100.33942  99.61928  99.53894 100.04499  99.68450 100.13491 #>  [43639] 100.03499  99.84488  99.30257 100.32946 100.46392 100.10994  99.43842 #>  [43646] 100.36932  99.98000  99.41831 100.44899  99.66444  99.85489 100.01000 #>  [43653] 100.23971 100.43406 100.06498  99.74969  99.57409 100.23472 100.14989 #>  [43660] 100.13491 100.14989 100.08496  99.88493  99.80481  99.93498 100.20479 #>  [43667] 100.05998 100.54352 100.06498 100.06998 100.28958 100.37928  99.52889 #>  [43674] 100.01500 100.46392  99.85990 100.25966  99.89995 100.03000  99.42334 #>  [43681] 100.10994  99.80481 100.36932  99.99000 100.80179 100.04499 100.06498 #>  [43688]  99.99000  99.79980 100.47388  99.41328  99.77475 100.08996  99.39819 #>  [43695] 100.06498  99.99500  99.86491 100.42410 100.31949  99.91997 100.09995 #>  [43702] 100.11993 100.08996  99.53391 100.63797  99.35291 100.35935 100.06998 #>  [43709] 100.04999 100.25468  99.92998 100.25468 100.01500 100.59821  99.45351 #>  [43716]  99.77475  99.86491 100.07997  99.99000  99.68952  99.56405 100.10994 #>  [43723] 100.56838 100.03000  99.85990  99.90996 100.53358 100.11493 100.21976 #>  [43730]  99.85489  99.36297 100.34939  99.93998 100.05498 100.35935  99.99500 #>  [43737] 100.32447 100.10494  99.43339  99.91997  99.71459  99.57409 100.05498 #>  [43744] 100.01500  99.80982  99.92998 100.37928  99.95499  99.91997  99.53391 #>  [43751] 100.14490 100.12492  99.79980  99.78477  99.81984 100.37430 100.04999 #>  [43758]  99.70456  99.75971  99.82485 100.10994  99.61928  99.72963 100.07997 #>  [43765]  99.68952 100.06498 100.14989 100.04999  99.85489 100.00000  99.58414 #>  [43772] 100.09495  99.88994  99.90495  99.55401 100.66280  99.99500 100.04999 #>  [43779]  99.91496  99.94498  99.64939 100.23971  99.80982 100.05998  99.85990 #>  [43786] 100.02500 100.29955 100.13491  99.63935  99.86992  99.90495  99.93998 #>  [43793]  99.70958 100.37430  99.95999  99.65440  99.87993  99.77976  99.99000 #>  [43800] 100.22974 100.49378  99.95999  99.84488 100.32946 100.13491 100.10494 #>  [43807] 100.13990  99.82986  99.63935 100.41912 100.17485 100.29955 100.46392 #>  [43814] 100.24969  99.87993  99.79479 100.12992  99.87492  99.55903 100.04499 #>  [43821] 100.49378 100.60815  99.95999  99.90495 100.67770  99.74467 100.47388 #>  [43828]  99.73966  99.95999  99.93498  99.92497  99.69955 100.34939 100.06498 #>  [43835]  99.65942 100.28460  99.77976  99.63433  99.87993 100.24470  99.99500 #>  [43842] 100.23971 100.06998 100.25966  99.90996  99.77976  99.49372  99.90996 #>  [43849]  99.90996 100.53358  99.60422 100.07497 100.34441  99.34284  99.87993 #>  [43856] 100.32447 100.34441  99.71961 100.22475  99.82986 100.25468 100.30454 #>  [43863] 100.11993 100.58330 100.35437  99.82986  99.86992 100.41912  99.99000 #>  [43870] 100.55347  99.35794 100.21976 100.23472 100.00500 100.79683  99.70456 #>  [43877] 100.08996 100.29457  99.39819  99.77976  99.52889  99.72462  99.45351 #>  [43884] 100.51368 100.27462 100.12992 100.09995 100.19481 100.03000 100.24470 #>  [43891] 100.09495  99.63433 100.32447 100.15488  99.46859 100.28958  99.83987 #>  [43898] 100.04499  99.34787 100.33444  99.99500 100.00000  99.92497  99.96499 #>  [43905]  99.89995 100.05498  99.80982  99.39316  99.86491  99.64939  99.72963 #>  [43912] 100.10494 100.11493 100.04499 100.47388  99.92998  99.53894  99.80481 #>  [43919] 100.19980  99.80481 100.12992 100.08496  99.95499  99.33781  99.46356 #>  [43926] 100.10494 100.07497 100.06498  99.95999  99.80982  99.93498  99.77976 #>  [43933] 100.03000 100.39920  99.51884  99.57409 100.28460 100.12492  99.73966 #>  [43940] 100.05498 100.01500 100.01500 100.25468  99.85489 100.23472  99.77976 #>  [43947]  99.32774  99.83486  99.18165 100.24969  99.56405 100.33942 100.59821 #>  [43954] 100.27462  99.93998  99.92998  99.78477 100.05498 100.28958 100.05998 #>  [43961] 100.41414 100.18483 100.46392 100.03999 100.44401  99.71459  99.34284 #>  [43968]  99.47864 100.01500  99.69955 100.40418  99.39819 100.04999 100.04499 #>  [43975]  99.95999  99.78978  99.88493  99.52387  99.69955  99.92998 100.20978 #>  [43982]  99.70958  99.86491 100.05998 100.40418 100.30454  99.73966  99.46859 #>  [43989]  99.76973 100.09995 100.00500  99.74969  99.47864  99.67949  99.92497 #>  [43996] 100.30454  99.91496 100.52363 100.25468 100.53358 100.09995  99.82986 #>  [44003]  99.88994  99.63935 100.00000  99.53894  99.68450 100.22974 100.38426 #>  [44010] 100.17485 100.04999 100.34441  99.43842 100.13990  99.98500 100.05998 #>  [44017]  99.65440 100.17984  99.67949  99.57409  99.57409 100.28460  99.70958 #>  [44024] 100.28460 100.50871  99.49874  99.99000  99.62931  99.93998 100.09995 #>  [44031]  99.88994  99.72462 100.13990  99.86992 100.10494  99.44848 100.07497 #>  [44038]  99.76472 100.08996 100.04499  99.84488  99.67949  99.78477  99.77475 #>  [44045]  99.78477 100.17984  99.93998  99.88994  99.98500 100.33444 100.04999 #>  [44052] 100.21477  99.94498 100.10494  99.97000  99.76472 100.14490 100.32447 #>  [44059] 100.28958  99.51884  99.77475 100.00000 100.14490 100.58330 100.18982 #>  [44066] 100.22974  99.74467 100.28958  99.64437 100.22974  99.73465 100.66777 #>  [44073]  99.78978  99.77976  99.59418 100.43904  99.59418  99.80481 100.34441 #>  [44080]  99.91997 100.16486 100.07497 100.57833  99.67949 100.66280  99.90495 #>  [44087] 100.60815  99.88994  99.58414  99.53894 100.30952 100.04499  99.39316 #>  [44094]  99.68450  99.72963  99.91997  99.65440  99.62429 100.19481 100.21477 #>  [44101]  99.81483  99.93498  99.78477 100.01000 100.26964 100.11493  99.61928 #>  [44108] 100.21477 100.42908  99.67949 100.51865 100.18982  99.68450 100.02500 #>  [44115]  99.84989 100.40418  99.63433  99.92497 100.16486  99.94498 100.27462 #>  [44122]  99.86491  99.63935  99.46859  99.83486  99.76472 100.18982  99.86992 #>  [44129]  99.68450 100.36932  99.68450 100.40916 100.15488 100.62803 100.12492 #>  [44136] 100.23472 100.45895  99.95999  99.70958 100.11493  99.74969 100.59324 #>  [44143]  99.93498  99.93998 100.35935 100.02500 100.36932  99.94498 100.25468 #>  [44150]  99.80982  99.72963  99.99500  99.52387  99.65440 100.19481  99.84488 #>  [44157]  99.91997 100.29955 100.51368 100.28460  99.83987  99.83987 100.42410 #>  [44164]  99.42334  99.94498  99.86491 100.16486 100.21477 100.28460  99.95999 #>  [44171]  99.75971 100.70750  99.94498 100.22475 100.12992  99.92998 100.37430 #>  [44178]  99.72462 100.23472 100.00500 100.23971  99.81984 100.30454 100.23472 #>  [44185]  99.65942 100.02000 100.20479  99.64939 100.28958  99.89494 100.50871 #>  [44192] 100.44899 100.08996 100.14490  99.71459 100.29955 100.29955 100.32447 #>  [44199] 100.13990  99.95499  99.99500 100.17485  99.70958 100.22974 100.23971 #>  [44206] 100.44899 100.07997 100.13491  99.91997 100.16986 100.24470  99.68952 #>  [44213] 100.01000 100.05498 100.06498  99.40322  99.98500  99.84989  99.96499 #>  [44220] 100.08996  99.93998  99.85990  99.87993 100.14989 100.18483  99.79980 #>  [44227] 100.44401  99.77475 100.38426  99.98000 100.09495  99.56405 100.33942 #>  [44234] 100.02500 100.30454 100.19481 100.02000  99.73465  99.59418  99.93498 #>  [44241]  99.89995  99.71961 100.44401  99.81984 100.09495 100.11493 100.35935 #>  [44248] 100.45397 100.21976  99.88994  99.84488  99.94498  99.48367  99.79980 #>  [44255]  99.90495 100.12492 100.06998  99.68952 100.24470 100.09495 100.23971 #>  [44262]  99.97500  99.75470 100.39920 100.30454 100.22974 100.33942 100.25468 #>  [44269]  99.73465  99.90996  99.89494  99.99500 100.23971  99.28746  99.95499 #>  [44276]  99.80481 100.00000  99.70456 100.26465 100.09495  99.87492  99.98000 #>  [44283]  99.55401  99.80481 100.10994  99.95999  99.85489 100.07497  99.99000 #>  [44290] 100.58330  99.64939  99.95999 100.00500  99.78477 100.33444 100.11493 #>  [44297] 100.11993 100.05498  99.32271 100.52860 100.67770  99.86491 100.20479 #>  [44304] 100.32946 100.21976  99.84488 100.50373  99.76472  99.51382  99.75971 #>  [44311] 100.18483 100.04499 100.07497  99.84488 100.34939  99.85489 100.20978 #>  [44318] 100.00500  99.53894 100.58330  99.49874 100.01000  99.70958 100.30454 #>  [44325] 100.00000 100.26465 100.51368 100.01000  99.84989 100.33444  99.76472 #>  [44332] 100.02000 100.33942  99.86992 100.13491  99.92497 100.19481 100.41414 #>  [44339]  99.83486  99.82485 100.04499 100.20479 100.11493 100.08496 100.28460 #>  [44346] 100.05498  99.96499 100.26964  99.79479 100.33444 100.25966  99.82986 #>  [44353]  99.80481  99.87492 100.03999  99.83486  99.90495 100.00500 100.21477 #>  [44360]  99.65942  99.90996  99.58414  99.78477 100.18483 100.48881  99.92998 #>  [44367] 100.38924  99.75971  99.21693  99.77475 100.01000 100.25468  99.98500 #>  [44374]  99.93998  99.82986  99.64939 100.30952  99.87993 100.18982  99.98000 #>  [44381] 100.38426  99.81984  99.69955 100.10494 100.14989 100.10994 100.21976 #>  [44388]  99.56405  99.73966  99.88994 100.16486 100.00500 100.15488  99.84488 #>  [44395] 100.40418  99.67447 100.25468  99.92497 100.25468 100.55347  99.58414 #>  [44402] 100.26465  99.68952 100.50373  99.88994 100.19980 100.06498 100.05498 #>  [44409]  99.89995 100.00500 100.44401 100.03000 100.20479  99.87492  99.24213 #>  [44416] 100.33444 100.18483  99.96499 100.17984  99.47864  99.57911 100.37928 #>  [44423] 100.16986  99.83486 100.58330  99.77976 100.08996  99.75470  99.59418 #>  [44430] 100.04999 100.13491 100.16986  99.74969 100.23472 100.08496  99.67447 #>  [44437] 100.11493  99.90495  99.52387 100.56341 100.03000 100.33444 100.16486 #>  [44444] 100.67274  99.42334 100.68267 100.06998 100.35437  99.69453 100.01000 #>  [44451] 100.42410 100.41912  99.28243 100.19481  99.60924 100.76210  99.52889 #>  [44458]  99.90996  99.71459 100.65784  99.90495 100.25966 100.27961  99.75470 #>  [44465]  99.73465 100.06498 100.56838 100.30952 100.52860 100.37430  99.61426 #>  [44472] 100.15987 100.08496  99.77475 100.46392 100.07497 100.07497  99.68952 #>  [44479]  99.72462 100.25966  99.50377  99.73966 100.12492  99.79479 100.06498 #>  [44486]  99.67447 100.25966 100.29955 100.44401 100.35935 100.36434 100.00500 #>  [44493]  99.82485  99.24717 100.30952 100.00500 100.93562 100.28958 100.34939 #>  [44500] 100.28958 100.39422  99.72462  99.94999  99.20685 100.08996  99.64437 #>  [44507] 100.11493  99.89995 100.08496  99.75971  99.74969 100.08496 100.04499 #>  [44514]  99.67447 100.18982 100.52363  99.62931 100.06498  99.99000  99.85990 #>  [44521]  99.83987  99.92497  99.68952 100.13990 100.34939  99.74969  99.92998 #>  [44528] 100.01000  99.94999 100.07997 100.16486 100.24470 100.37430  99.87993 #>  [44535] 100.25966  99.77976 100.08496 100.18483  99.67949 100.21477 100.41912 #>  [44542]  99.66444  99.84488  99.74969 100.60318 100.31949 100.10994  99.90996 #>  [44549]  99.99500 100.29457 100.13990 100.21477  99.73465 100.44401  99.61928 #>  [44556] 100.28958 100.47885 100.27961  99.98000 100.03499  99.97500 100.82162 #>  [44563]  99.54396  99.89995  99.83987  99.95999  99.81984 100.06998 100.27462 #>  [44570]  99.94999  99.97500  99.93998 100.31949  99.83987 100.24470  99.52889 #>  [44577]  99.91496  99.63935  99.83987 100.04499 100.43406 100.16486 100.18982 #>  [44584] 100.36434 100.27961  99.79980 100.03000  99.85489  99.99000  99.88493 #>  [44591]  99.85489  99.71459 100.34939 100.10494 100.02500 100.30952  99.87492 #>  [44598] 100.01500  99.81984  99.68952 100.34939  99.69453  99.97000 100.20479 #>  [44605] 100.19980 100.02000  99.86491  99.69453  99.51382  99.93498  99.91997 #>  [44612] 100.34441  99.61928 100.03999 100.25966  99.57911  99.98000  99.69955 #>  [44619]  99.59418 100.19481  99.86491  99.78978  99.95999 100.07497 100.33444 #>  [44626] 100.15488 100.33444 100.46890 100.02500  99.72963  99.95999 100.57336 #>  [44633]  99.95499  99.39316 100.15987  99.23709  99.51382  99.76973  99.35291 #>  [44640] 100.03499  99.42837 100.64293  99.51382 100.12492 100.28460 100.40916 #>  [44647] 100.10494 100.19980  99.60422 100.20978 100.58330 100.25966  99.98500 #>  [44654] 100.24969  99.54898 100.38924  99.65942  99.56405 100.28460 100.30454 #>  [44661] 100.21477 100.00500 100.41912  99.89494  99.88493 100.39920 100.27462 #>  [44668]  99.91496  99.97000 100.13990 100.00000 100.08496 100.29457 100.12492 #>  [44675]  99.82986 100.27462 100.20978 100.11493 100.26465 100.12992  99.60422 #>  [44682]  99.66444  99.57409  99.63935 100.50373  99.89494 100.03999 100.02500 #>  [44689]  99.50879 100.06998  99.63935  99.79479  99.83987  99.72963  99.82986 #>  [44696]  99.96499  99.57911 100.30952  99.83486  99.98500 100.16486 100.03499 #>  [44703]  99.77976 100.01500 100.06498  99.79980  99.54396 100.09995 100.04499 #>  [44710]  99.67949  99.82986  99.77475 100.37928 100.15488 100.01500 100.05998 #>  [44717] 100.15987  99.78978  99.89494  99.94498  99.91496 100.38924 100.71743 #>  [44724]  99.88994  99.89995  99.93998 100.07497  99.74467  99.85990  99.88994 #>  [44731]  99.61928  99.87993 100.00500 100.08496  99.81984 100.30952 100.23472 #>  [44738]  99.42334 100.09995 100.60815  99.91496 100.13990 100.32946 100.30454 #>  [44745] 100.22974 100.31451  99.99000  99.76472 100.04999  99.74969  99.54898 #>  [44752]  99.73966  99.69453  99.80481 100.07997 100.12492 100.17485  99.68450 #>  [44759] 100.16986 100.16986 100.04499 100.07997 100.22974  99.98000 100.02500 #>  [44766]  99.59920 100.15488  99.80982 100.16986 100.00500  99.99000  99.73465 #>  [44773] 100.44401 100.43406  99.86491  99.72462  99.92497  99.67949  99.58916 #>  [44780] 100.08996 100.07497  99.76472  99.87492 100.30454 100.21477 100.25966 #>  [44787]  99.75971 100.08996  99.72462  99.73465 100.03999 100.00000 100.14490 #>  [44794] 100.05498  99.85489 100.64293 100.09495 100.04999  99.44345  99.48367 #>  [44801] 100.69260 100.15488 100.26465 100.21477 100.53358  99.60924 100.04999 #>  [44808]  99.97000 100.16486 100.43406  99.62429  99.77976  99.48367  99.52387 #>  [44815]  99.91496 100.02500  99.84989  99.98000 100.31451  99.67949  99.85990 #>  [44822] 100.03000  99.70456  99.40825 100.36434 100.44899 100.55347  99.99000 #>  [44829]  99.80982 100.11493  99.71961 100.08496  99.89494 100.00500 100.11493 #>  [44836] 100.20978  99.77475 100.07497  99.61426  99.48869  99.44848 100.54352 #>  [44843] 100.02500 100.22974  99.48367 100.41912  99.35794  99.73465  99.93998 #>  [44850] 100.10994 100.35437 100.70253  99.80982 100.45895  99.54396 100.03999 #>  [44857] 100.47388  99.76973 100.64293  99.90996  99.56907  99.96499  99.95499 #>  [44864]  99.34787  99.91997  99.91496  99.50377 100.72239  99.56405 100.03499 #>  [44871] 100.25468 100.05498  99.74969  99.82485  99.95999 100.44899  99.70958 #>  [44878] 100.00500 100.20479  99.55903 100.47885  99.93498  99.74467 100.32946 #>  [44885] 100.16486 100.66280  99.77976  99.74969 100.33942 100.04999 100.35935 #>  [44892]  99.85489  99.80982 100.46890  99.95499  99.97500  99.91997  99.33781 #>  [44899] 100.12992  99.55903 100.00500 100.19481 100.51368  99.86491  99.90495 #>  [44906] 100.23472  99.86491  99.63935 100.29457 100.12492  99.76973 100.49378 #>  [44913]  99.52889 100.07497  99.78978 100.20479  99.51382 100.53358 100.38924 #>  [44920]  99.48869  99.95499  99.58414 100.22475 100.08996 100.08496 100.22475 #>  [44927]  99.65440  99.67447  99.85990  99.82485 100.28958  99.85489  99.91997 #>  [44934]  99.67949 100.30952  99.97500  99.82485  99.86491  99.99000 100.11493 #>  [44941]  99.68952  99.98500 100.40916 100.00000 100.15488 100.00500  99.87492 #>  [44948] 100.12492  99.76472  99.94498  99.95499 100.27462  99.89494  99.89494 #>  [44955]  99.97500  99.89494 100.28460  99.99500  99.49372  99.64437  99.88994 #>  [44962]  99.83486 100.45895  99.93498  99.38813 100.64790  99.95999 100.22974 #>  [44969]  99.69955 100.48881 100.20479  99.51382  99.51382  99.32774  99.38310 #>  [44976] 100.21976  99.92998  99.88994 100.11993  99.60924 100.11493  99.63433 #>  [44983] 100.19481 100.22475 100.44899 100.08496 100.41414  99.72963  99.96499 #>  [44990] 100.35437  99.80481  99.97500  99.37303  99.85990 100.11993 100.30952 #>  [44997]  99.67447 100.45397 100.03000 100.07497 100.54352  99.87993 100.20479 #>  [45004]  99.77976  99.95999 100.02500  99.87492  99.53391 100.01500 100.03999 #>  [45011]  99.74467  99.75971  99.81483  99.95499 100.41912 100.05498 100.03499 #>  [45018] 100.10494  99.91496 100.54850 100.04999  99.73465  99.97500 100.23971 #>  [45025]  99.71961 100.19980  99.60422  99.74467  99.83486  99.73465 100.13491 #>  [45032] 100.50373  99.80481 100.09995  99.90495  99.99000 100.09995  99.54396 #>  [45039] 100.33444 100.43406  99.44848 100.00500  99.76973 100.04499  99.75470 #>  [45046] 100.74225  99.88493 100.42410  99.80982 100.11993  99.89995  99.94498 #>  [45053] 100.05998 100.28460  99.60924 100.00500 100.21976 100.31451 100.01000 #>  [45060] 100.03999  99.33277  99.97000 100.28460 100.51368  99.44345 100.19481 #>  [45067] 100.31451 100.01000 100.27462  99.63433  99.89494  99.54396  99.79479 #>  [45074]  99.66945  99.90996  99.55401  99.79980 100.46392 100.40418 100.22974 #>  [45081] 100.45895 100.39422  99.76973 100.24470 100.11993 100.00000 100.30454 #>  [45088] 100.21477  99.67949 100.03999 100.05998  99.98500  99.89995  99.97500 #>  [45095] 100.14989  99.73465  99.81984 100.25966 100.25966 100.52363 100.03999 #>  [45102] 100.23472  99.92998 100.28958 100.14989  99.96499  99.81483  99.51884 #>  [45109]  99.94999  99.31264 100.17984 100.04499  99.82986  99.92998  99.86992 #>  [45116]  99.61928  99.84488 100.24470  99.51884 100.09495 100.27462 100.12492 #>  [45123]  99.68952 100.21976 100.46890 100.31949  99.94498  99.51884 100.03999 #>  [45130]  99.55401  99.66945  99.44345  99.54898  99.87993  99.81483 100.21477 #>  [45137] 100.06498  99.99500  99.83486 100.35935  99.57911  99.87993  99.48869 #>  [45144]  99.87993  99.78978 100.04499  99.54396 100.58827  99.80481 100.47885 #>  [45151]  99.66945 100.06998 100.07497  99.26228 100.23472  99.74969  99.91496 #>  [45158]  99.90996  99.84488  99.60422  99.67949 100.02500  99.90996  99.80481 #>  [45165] 100.30952 100.05498  99.77976 100.30952  99.82986 100.20978 100.54850 #>  [45172]  99.62931 100.20978 100.05998 100.29457 100.29955 100.00000 100.33942 #>  [45179]  99.53894  99.87993 100.15987 100.10494 100.43904  99.10096 100.04499 #>  [45186] 100.13990  99.28243 100.00000 100.48383  99.92998 100.14989 100.59324 #>  [45193] 100.03999 100.17984  99.71961 100.34939 100.24969 100.02000 100.10994 #>  [45200]  99.75470  99.99500 100.51865 100.01000  99.57911 100.29955  99.73966 #>  [45207] 100.10494 100.29955 100.15488  99.77475 100.09495  99.63433  99.99500 #>  [45214]  99.49874 100.12492  99.66945  99.70456  99.38310  99.86992  99.67949 #>  [45221]  99.92497 100.11493  99.59920 100.19980 100.34441  99.83486  99.78978 #>  [45228]  99.48869 100.04499  99.87993  99.51382 100.53855 100.07997  99.76973 #>  [45235] 100.08996 100.25468  99.78978  99.67949 100.08996  99.64437  99.62429 #>  [45242]  99.46356 100.41912  99.49874  99.69955 100.40916  99.44345  99.41328 #>  [45249]  99.95499  99.80481 100.19980 100.32447  99.89995 100.30454 100.02500 #>  [45256] 100.20479  99.91997  99.86491  99.95999 100.27961  99.60924 100.33444 #>  [45263]  99.72963 100.12492 100.33444  99.56405 100.10994  99.75971 100.31451 #>  [45270] 100.35935  99.70456  99.64437  99.88994  99.74969  99.60924  99.80481 #>  [45277]  99.48869 100.15488  99.85489  99.65440 100.07997 100.00000 100.26465 #>  [45284]  99.96499  99.49874  99.65440  99.80481 100.19980  99.80982  99.83486 #>  [45291] 100.18982 100.29955  99.77475  99.82986  99.66444  99.66945 100.00500 #>  [45298]  99.63935 100.16486 100.14989  99.96499  99.65440 100.23472 100.05998 #>  [45305]  99.86491 100.08496  99.53391  99.92497  99.85990  99.94498  99.85489 #>  [45312]  99.71459  99.92998  99.94999 100.23971 100.02500 100.27462 100.46392 #>  [45319] 100.02500  99.91997 100.12492  99.50879 100.25468  99.79479  99.93498 #>  [45326]  99.73465  99.91496 100.43904  99.93498  99.74969  99.91997 100.08996 #>  [45333] 100.32447 100.30952 100.50373  99.80982  99.76472 100.35935  99.93498 #>  [45340]  99.90996  99.95999 100.07497  99.78978 100.10994 100.50373  99.64939 #>  [45347] 100.00500 100.17984 100.04999 100.26465 100.08496 100.08496  99.89995 #>  [45354]  99.79980  99.99000 100.40418  99.98000  99.73966 100.01000  99.95999 #>  [45361] 100.03499 100.03999 100.50871 100.12992  99.82485 100.40418  99.86491 #>  [45368] 100.22475 100.09995  99.95499 100.19980 100.10994 100.12992  99.51382 #>  [45375]  99.92497 100.40916 100.14490 100.32946  99.63935  99.68450 100.42908 #>  [45382]  99.87492  99.85489 100.63797  99.98000 100.04999  99.64437 100.21976 #>  [45389] 100.99010 100.64790  99.67949  99.78477 100.09995 100.36932 100.29955 #>  [45396] 100.31451 100.14490 100.55844  99.47361  99.72462  99.99500  99.30257 #>  [45403] 100.16486 100.08496  99.71961  99.51382  99.74969 100.03000  99.98000 #>  [45410] 100.17485  99.38310  99.65942  99.65440 100.20978  99.59418 100.01500 #>  [45417]  99.51884 100.07497 100.48881  99.89995  99.81483  99.61426  99.84989 #>  [45424]  99.46356  99.96499 100.00500 100.43904 100.83650 100.33444  99.50879 #>  [45431]  99.58414 100.55844  99.88493 100.35935 100.32447 100.03499 100.15987 #>  [45438]  99.96499 100.10994 100.07997  99.64437  99.98000 100.59324  99.78477 #>  [45445] 100.35437 100.57833 100.02500  99.70958 100.00000  99.98000  99.89995 #>  [45452]  99.79479 100.59821  99.94999 100.17984 100.16986 100.22475  99.68450 #>  [45459] 100.32946  99.99500  99.91496 100.22475 100.55844  99.94498  99.94999 #>  [45466] 100.03999 100.08496  99.88493 100.05498  99.99500  99.67447 100.13990 #>  [45473]  99.48869  99.93998  99.54898  99.81984 100.15488 100.32447 100.05498 #>  [45480] 100.00000  99.95499  99.91496  99.80481  99.64437  99.57911  99.89494 #>  [45487]  99.63935  99.95499  99.76472 100.21477  99.44848 100.04499  99.91496 #>  [45494]  99.82986 100.12992  99.79980 100.04999 100.11493  99.36800 100.53358 #>  [45501] 100.07497  99.76973 100.14989  99.67447 100.23971  99.72963 100.74225 #>  [45508] 100.14490  99.77475  99.79479 100.28958 100.07997 100.03499 100.48383 #>  [45515]  99.81483 100.11993 100.24470  99.82986 100.02000  99.58414  99.93498 #>  [45522]  99.87492  99.83987 100.03000 100.33942  99.94999 100.02500 100.17485 #>  [45529] 100.38426  99.60422 100.22475 100.46890 100.26465 100.30454 100.51865 #>  [45536]  99.83987  99.73465  99.81984  99.51884 100.31949 100.28958  99.74969 #>  [45543] 100.12992 100.34441 100.08496 100.24969 100.43406  99.77976 100.04499 #>  [45550] 100.03499  99.76973 100.30952 100.08996 100.23971  99.71459  99.70456 #>  [45557] 100.01500  99.73966  99.80481 100.05498  99.82485 100.00500 100.25966 #>  [45564]  99.85489 100.23971  99.74467  99.84488  99.79479 100.15488 100.06998 #>  [45571]  99.68450  99.61928  99.79980 100.01000  99.97500  99.99500 100.14989 #>  [45578]  99.90996 100.51865  99.88493 100.27961  99.79980  99.30257  99.86992 #>  [45585]  99.93998 100.06998  99.63433 100.38924  99.66945  99.95999  99.63433 #>  [45592] 100.85633 100.23472 100.30952  99.98000 100.29457  99.84989  99.86491 #>  [45599] 100.51368  99.42837 100.11493 100.39920 100.20479 100.50373 100.44899 #>  [45606]  99.96499 100.03999  99.74467  99.97500  99.51382 100.25966  99.99500 #>  [45613]  99.38813 100.23971  99.82986 100.01500  99.79980 100.70253 100.22974 #>  [45620] 100.08996  99.51884 100.20479  99.79479 100.37928  99.85489 100.08996 #>  [45627] 100.09995  99.84989  99.95499  99.76973 100.17485  99.72462 100.21976 #>  [45634] 100.26465 100.69260  99.79479  99.93498 100.24969  99.58414  99.67949 #>  [45641] 100.11493  99.98500 100.03999 100.39920  99.83987 100.17485  99.62931 #>  [45648] 100.21477  99.40322  99.76472 100.22475  99.66444 100.25966  99.85990 #>  [45655] 100.01500  99.92998 100.14490 100.03499  99.86491  99.99000  99.65942 #>  [45662]  99.69955  99.62931 100.06998 100.31949 100.54352  99.80481  99.57409 #>  [45669]  99.92998 100.23472 100.55347  99.81483  99.92497 100.06498 100.40418 #>  [45676]  99.35291 100.13990 100.06498  99.98000 100.34939 100.28958  99.92998 #>  [45683]  99.85990 100.65287  99.81984 100.14989 100.20479  99.67447  99.80481 #>  [45690]  99.70958 100.02500 100.00500  99.70958 100.28958 100.13990  99.97000 #>  [45697]  99.75470 100.44899 100.63797  99.98000  99.97000  99.78978  99.69955 #>  [45704]  99.60422  99.72462 100.29457  99.83987  99.68952  99.78978 100.49876 #>  [45711]  99.66444  99.43842 100.73232 100.63300 100.15987 100.27961  99.88493 #>  [45718] 100.24470 100.52363  99.95499  99.90495  99.96499 100.55844 100.26465 #>  [45725]  99.93498 100.28958 100.18982  99.92497 100.26465 100.17984  99.66444 #>  [45732]  99.59920 100.14490  99.97000  99.62429  99.91496 100.35935 100.14989 #>  [45739]  99.99000 100.38924  99.99000 100.05998  99.68952 100.26465 100.09995 #>  [45746] 100.42908  99.81984  99.77976 100.00500 100.40916  99.44848 100.31451 #>  [45753] 100.11993 100.44401 100.05498 100.22974 100.08496 100.00500 100.22974 #>  [45760] 100.49876 100.32946 100.20978 100.50373 100.05998  99.61426  99.59920 #>  [45767]  99.97500 100.20479 100.10994 100.33942  99.69955  99.99000 100.01000 #>  [45774]  99.81984 100.11993  99.27235  99.87993  99.81984 100.06498 100.05998 #>  [45781] 100.29955 100.03000 100.29955  99.92497 100.10494 100.27462  99.80481 #>  [45788]  99.57409 100.00500 100.03499 100.04999 100.13990  99.74467 100.08996 #>  [45795]  99.66444 100.03999 100.14490  99.79479  99.84989 100.53855 100.68267 #>  [45802] 100.70253  99.80481 100.10994 100.46890 100.18982 100.38924 100.30952 #>  [45809]  99.82986  99.36800  99.90996  99.40825 100.04999  99.69453 100.27462 #>  [45816] 100.09495  99.97000 100.18982 100.10994 100.13491  99.71459  99.62429 #>  [45823]  99.83486 100.20978  99.59920  99.97500  99.69955 100.26465  99.55401 #>  [45830]  99.83486 100.19980  99.99000  99.96499  99.99000  99.75971 100.31451 #>  [45837]  99.55903  99.72963  99.90996 100.01000 100.02500 100.22475 100.04999 #>  [45844]  99.29753 100.21477 100.49876  99.72462 100.00000 100.42908 100.35935 #>  [45851]  99.80481 100.33444  99.58916  99.72462  99.93998  99.90996  99.86491 #>  [45858]  99.73966 100.10994 100.44401  99.59418 100.05998  99.81984  99.88994 #>  [45865] 100.18483 100.23971 100.06998  99.67447 100.32447  99.64939  99.44848 #>  [45872] 100.10494 100.01000  99.85489  99.68952 100.40418 100.47388 100.42410 #>  [45879]  99.66945  99.88493 100.03000 100.33942 100.06498  99.89494 100.00000 #>  [45886]  99.89494  99.86491 100.30952 100.30454  99.82485 100.16486  99.97000 #>  [45893]  99.94498 100.12992  99.91496 100.47388 100.03000 100.28958  99.77976 #>  [45900]  99.88994 100.21477 100.22974 100.12992 100.39422 100.10994 100.37928 #>  [45907]  99.65942  99.75971  99.81984  99.89494  99.82485  99.86992 100.00000 #>  [45914] 100.21477  99.87492 100.30952 100.11993  99.97500  99.69453  99.89995 #>  [45921] 100.21976  99.68450 100.70253  99.59418 100.09995  99.93498 100.25468 #>  [45928]  99.89494 100.00000  99.74467 100.22974 100.70253  99.59418  99.85489 #>  [45935] 100.09495  99.63935  99.88994 100.12992  99.47864 100.52363  99.74969 #>  [45942] 100.19980 100.33942  99.80481  99.73966 100.16986  99.82485  99.39316 #>  [45949]  99.72462  99.63935  99.84488  99.73465 100.04999 100.51865 100.12492 #>  [45956] 100.31451 100.36434 100.36932  99.52387 100.01500  99.92998  99.73966 #>  [45963]  99.66945 100.25966 100.14490  99.91496 100.21976  99.73966 100.14989 #>  [45970] 100.35437 100.06998  99.97500 100.15488 100.26964  99.90495  99.64437 #>  [45977]  99.77976  99.62429  99.99000 100.10494  99.98500 100.43406 100.12492 #>  [45984] 100.25966 100.37430 100.21477  99.51382 100.12492  99.70456  99.97500 #>  [45991]  99.90495  99.87492  99.59920 100.60815 100.06998  99.41328  99.87492 #>  [45998]  99.66945  99.74969  99.69453 100.09995  99.76472 100.07997 100.49876 #>  [46005]  99.18669  99.97000  99.70958 100.26465 100.21976 100.14490 100.05998 #>  [46012] 100.45895  99.91496  99.91496 100.34441  99.94498 100.13990  99.75971 #>  [46019]  99.69955  99.60422 100.29955 100.17485  99.98000 100.22974 100.08996 #>  [46026]  99.65942 100.71743  99.60422  99.77976 100.13990 100.30952  99.56907 #>  [46033] 100.25468  99.84989 100.12992  99.70456  99.44345  99.31264 100.13491 #>  [46040]  99.54898 100.04999 100.03000  99.39819 100.20479  99.65440  99.46356 #>  [46047]  99.64939  99.94498  99.81483 100.19980 100.11993 100.24969  99.95999 #>  [46054]  99.71459 100.11993  99.75971  99.97000 100.19980 100.62306  99.62931 #>  [46061]  99.52889  99.62429  99.84989 100.22475 100.30454 100.81667  99.79980 #>  [46068] 100.14490 100.43406 100.14490  99.80481  99.86992  99.66945 100.26465 #>  [46075] 100.16486  99.35794 100.33942 100.51865  99.91496  99.73966 100.60815 #>  [46082] 100.24470  99.58414  99.73966 100.55347  99.58414  99.77976 100.17984 #>  [46089] 100.28460 100.54352 100.33942  99.90495  99.93498  99.93998  99.52387 #>  [46096]  99.87492 100.01500 100.04999  99.82986 100.35935 100.05498 100.31451 #>  [46103] 100.22974 100.23472 100.18483  99.92497 100.22475  99.65942  99.88493 #>  [46110]  99.34284  99.62429 100.09995 100.18483 100.23472 100.04499 100.54352 #>  [46117]  99.95999 100.29955  99.73966  99.93998  99.99000 100.06998  99.80982 #>  [46124] 100.02500 100.05498  99.91997 100.35437  99.78477  99.58916  99.93498 #>  [46131] 100.15488 100.13491  99.73465 100.27961  99.90495  99.87492  99.56907 #>  [46138] 100.08996  99.36800 100.40916  99.91496 100.06498  99.61928 100.39920 #>  [46145] 100.25468 100.26964 100.16486  99.67447 100.13491  99.59418 100.33942 #>  [46152]  99.95999  99.66444 100.51368 100.20479  99.95499 100.45895  99.70456 #>  [46159]  99.95999 100.14490 100.40418  99.77475 100.45397 100.06498 100.25468 #>  [46166]  99.73966 100.22974  99.62429 100.28958 100.12992  99.80982 100.12492 #>  [46173] 100.64293 100.04499  99.92497  99.91997 100.11493 100.15488 100.18982 #>  [46180] 100.54352 100.30952  99.43842 100.26964 100.12992 100.42410  99.98000 #>  [46187]  99.70456  99.90495  99.86491  99.87492  99.83987  99.98000 100.24470 #>  [46194]  99.74969  99.78477 100.45397 100.19481  99.91496 100.08496 100.01500 #>  [46201]  99.75971 100.40418 100.01500  99.74467 100.14989  99.93998 100.70253 #>  [46208] 100.10494 100.19481  99.76973 100.16986 100.06998 100.16486 100.11493 #>  [46215] 100.49378 100.41912  99.76973 100.09995  99.54396  99.93498  99.90495 #>  [46222]  99.73966  99.97000  99.78978 100.03999 100.18982  99.92998 100.03999 #>  [46229] 100.01000 100.10494  99.51884 100.52860 100.22475 100.30952 100.16986 #>  [46236] 100.03999 100.31451  99.77475 100.39920  99.83486 100.42908 100.00500 #>  [46243] 100.42908  99.99500  99.76973  99.94999  99.75971  99.86992  99.98000 #>  [46250]  99.77475  99.94999  99.63935 100.34441 100.09495 100.31949  99.70456 #>  [46257]  99.63935 100.03499  99.99500  99.49874  99.80982  99.98000  99.22197 #>  [46264]  99.90495 100.22974 100.02000 100.11993 100.11493 100.09495  99.56907 #>  [46271] 100.39920 100.53855 100.36932  99.18165 100.00000  99.56907  99.47361 #>  [46278]  99.83486 100.19980 100.61312  99.92497 100.32946  99.82986 100.35935 #>  [46285] 100.67274 100.23971  99.67949 100.40916  99.53894 100.18982 100.13491 #>  [46292] 100.24470 100.11993 100.42908  99.98500 100.11993 100.22475  99.36297 #>  [46299] 100.35935 100.23971  99.84488 100.44899  99.69453  99.62429 100.26964 #>  [46306] 100.14490 100.17984  99.92497 100.02000  99.94498  99.99000  99.90495 #>  [46313]  99.87492 100.16986  99.92497 100.18483  99.93998 100.50373 100.56838 #>  [46320] 100.16486  99.96499  99.60924  99.75971 100.39920 100.53358  99.71961 #>  [46327]  99.68952  99.96499 100.01000 100.33444  99.81483 100.13990 100.46392 #>  [46334]  99.42837 100.07997 100.09995  99.86491 100.08996 100.29457 100.06498 #>  [46341]  99.99500 100.58330  99.39316  99.94999  99.90495 100.46890 100.28460 #>  [46348]  99.92998  99.97500 100.06498  99.93998  99.80481 100.13990 100.06498 #>  [46355]  99.82986  99.66945  99.74467 100.05998 100.47388 100.19481 100.04499 #>  [46362] 100.42908  99.96499  99.88493 100.34939  99.80481  99.80982  99.57409 #>  [46369] 100.00000  99.54898  99.86491  99.41831  99.76472  99.64437 100.03000 #>  [46376]  99.93998 100.02000 100.04999 100.58827 100.19481  99.89995 100.18982 #>  [46383]  99.82986  99.76973  99.85990  99.55903  99.83486  99.93998  99.97500 #>  [46390] 100.32447  99.54898 100.55844  99.46356 100.25966 100.08996 100.09995 #>  [46397]  99.57409  99.48869  99.57911 100.22475 100.45397 100.01000 100.05498 #>  [46404]  99.91496 100.32946  99.92497 100.23472  99.91496  99.63935 100.23971 #>  [46411] 100.00000 100.18483 100.23971  99.98000  99.93998 100.44899 100.22475 #>  [46418]  99.85489 100.12492 100.23971 100.20479 100.01000 100.48881 100.37430 #>  [46425] 100.36434 100.97029 100.07497 100.19980 100.00000  99.60924  99.77976 #>  [46432]  99.87492 100.15488  99.32271 100.68764 100.05498 100.24470 100.13491 #>  [46439]  99.51382  99.82485 100.17984 100.14490 100.48383  99.67949 100.14989 #>  [46446]  99.87492  99.85990  99.66945  99.33781  99.71961  99.84488  99.70456 #>  [46453] 100.16986  99.34284 100.04999 100.44401  99.64437 100.14490  99.91997 #>  [46460] 100.69260 100.19980  99.81984  99.79479 100.02500  99.70456 100.23472 #>  [46467] 100.06498 100.74225  99.91496  99.91997  99.97500  99.55903  99.95999 #>  [46474]  99.81483 100.38426  99.68952 100.43406  99.74467  99.80982 100.61312 #>  [46481]  99.32774  99.45853 100.15488 100.32447 100.09495  99.73966 100.21976 #>  [46488] 100.02500 100.02500  99.83486 100.11493  99.93998  99.51382 100.28958 #>  [46495] 100.17485  99.92497  99.65942  99.80481 100.32946  99.64939 100.67274 #>  [46502] 100.12492 100.04499 100.33444  99.85990 100.15987  99.88493 100.13990 #>  [46509] 100.16486 100.04499 100.13491 100.28460  99.68450 100.16486  99.74969 #>  [46516]  99.76973  99.55903 100.77202 100.06998 100.46392  99.52889 100.09995 #>  [46523]  99.87492  99.93998  99.84989  99.83486 100.16986 100.47885 100.33444 #>  [46530] 100.61312  99.80481  99.85990  99.81483  99.85990 100.30952 100.22475 #>  [46537] 100.27462  99.90495  99.73465 100.27961 100.48383  99.59418 100.21976 #>  [46544] 100.02500  99.80982 100.61809  99.81483 100.45895 100.37430 100.56341 #>  [46551]  99.90996  99.53391 100.65287  99.97000  99.91997 100.47885 100.46392 #>  [46558]  99.94999 100.05998 100.04499 100.34939  99.59418 100.22475  99.99000 #>  [46565] 100.04499  99.22701  99.97000  99.91997 100.37928  99.58414  99.74969 #>  [46572] 100.25468  99.76973  99.98000  99.46859  99.68450 100.01500 100.23971 #>  [46579]  99.95999 100.35935  99.58414  99.53391  99.58916  99.66444  99.39316 #>  [46586]  99.60924 100.22974 100.32447  99.84488  99.71961 100.36434 100.48383 #>  [46593] 100.45895  99.78978 100.35437 100.40418 100.50871  99.74969  99.85489 #>  [46600] 100.38426  99.47361 100.09495 100.23971 100.04999  99.59418 100.01500 #>  [46607] 100.31451 100.10494 100.06998  99.91496  99.88493  99.68952 100.39422 #>  [46614] 100.01000  99.73966 100.26465 100.02500  99.84488 100.27961 100.20978 #>  [46621]  99.99000 100.18982 100.00000 100.06498  99.78477 100.31949  99.76973 #>  [46628]  99.50879 100.01000 100.27961 100.26465 100.54850  99.73966 100.44401 #>  [46635]  99.79479  99.65942 100.19481  99.43339  99.85990 100.12492 100.25468 #>  [46642]  99.80481 100.34441 100.59821  99.63433  99.96499  99.44345 100.30952 #>  [46649] 100.05998 100.32946  99.92497 100.10994  99.69955 100.13491  99.57911 #>  [46656] 100.03000 100.03000 100.05998 100.04499  99.51382  99.52387  99.84989 #>  [46663]  99.78477  99.77475 100.14989  99.45853  99.72963  99.89995  99.76973 #>  [46670] 100.44899  99.84989 100.63300  99.80481  99.59418  99.96499  99.77475 #>  [46677]  99.88493 100.06998 100.21477  99.84989  99.97000 100.10994 100.07997 #>  [46684] 100.65784 100.44401  99.81483  99.48869  99.40825  99.22701 100.19481 #>  [46691]  99.87993  99.82986 100.00500  99.71961 100.15488 100.30952 100.21976 #>  [46698] 100.58827 100.26465 100.16986 100.22974  99.86491 100.28460  99.80982 #>  [46705]  99.96499 100.09495  99.99000 100.05998  99.84989 100.21477 100.25468 #>  [46712] 100.14989 100.24470 100.05498 100.40418  99.75971  99.90495 100.53358 #>  [46719] 100.17485 100.24470  99.99500 100.28958 100.04499 100.18483  99.67447 #>  [46726]  99.20181 100.01000  99.77976 100.51865 100.16486 100.19481 100.06498 #>  [46733] 100.44899 100.12992  99.83987 100.18982  99.89995 100.38426 100.22475 #>  [46740]  99.75470  99.68952 100.13491  99.97500  99.82485 100.23971  99.59920 #>  [46747] 100.21477 100.37430 100.27961  99.47864  99.73966  99.45351  99.88493 #>  [46754]  99.93498  99.50377  99.47864 100.21976  99.95499 100.06498  99.79479 #>  [46761] 100.02000  99.88994 100.43904 100.10494 100.08496  99.98000 100.29955 #>  [46768] 100.01000  99.95499 100.37430  99.83987 100.17984  99.99000  99.82986 #>  [46775] 100.46890  99.84989  99.72963 100.18982 100.25468  99.81984 100.20479 #>  [46782]  99.67949 100.03499  99.60422  99.91997 100.16486 100.02000  99.93998 #>  [46789]  99.90495  99.50879  99.72963  99.57409  99.87492 100.06498  99.74467 #>  [46796]  99.44848  99.91997  99.77976 100.20479 100.49378 100.03000  99.98000 #>  [46803]  99.75470  99.73966 100.30454 100.09495 100.35437 100.42410  99.66945 #>  [46810]  99.99000  99.96499  99.76472  99.83987 100.06998  99.84488  99.91997 #>  [46817]  99.79479 100.24470 100.15488 100.47885  99.82986  99.92497  99.67949 #>  [46824] 100.56838  99.75971 100.41414 100.07997 100.20479 100.14989  99.89494 #>  [46831] 100.36434  99.91997  99.69453  99.72462  99.76472 100.62306 100.01500 #>  [46838] 100.55347 100.01000  99.96499  99.82986  99.58414  99.68450  99.94498 #>  [46845] 100.07497 100.13491  99.31264  99.54396  99.58916  99.85489 100.15488 #>  [46852] 100.11993  99.53391 100.22974  99.79980 100.12992  99.45351  99.60924 #>  [46859] 100.11993  99.91997 100.30454 100.17485 100.16486  99.74969 100.18982 #>  [46866]  99.61426  99.86491  99.63433 100.25966  99.99000  99.94999 100.51865 #>  [46873]  99.94999  99.62931 100.35935  99.87492 100.30454 100.18982  99.76973 #>  [46880]  99.91496 100.18982 100.22475 100.35437  99.85990 100.44401  99.90495 #>  [46887]  99.77475 100.28460  99.47361  99.84488  99.97000  99.80982  99.84989 #>  [46894]  99.96499  99.66945 100.12992  99.23709 100.62803 100.12992  99.65942 #>  [46901] 100.25468  99.73465 100.07497 100.47388 100.31949 100.17984 100.13491 #>  [46908] 100.18483  99.85489 100.04999  99.61426 100.03499  99.68952 100.48881 #>  [46915]  99.82986  99.97000 100.21477  99.92998 100.28958 100.37430 100.17485 #>  [46922] 100.06998 100.33444  99.93998 100.25468 100.03000 100.19980  99.82986 #>  [46929]  99.99500 100.02000  99.67447  99.86491 100.11993 100.25966 100.50871 #>  [46936]  99.94498  99.99000 100.17485 100.34939  99.99500  99.91496  99.91997 #>  [46943]  99.86992 100.53358 100.33444  99.75971  99.47361  99.72462  99.68952 #>  [46950]  99.56405  99.76472 100.18982  99.78978  99.83486 100.12992 100.35437 #>  [46957]  99.93998  99.87492  99.93498 100.18483 100.10494 100.47388  99.92497 #>  [46964] 100.31949  99.60924  99.76472  99.76472  99.53391  99.74467 100.23971 #>  [46971] 100.05498  99.71459 100.10494  99.98500  99.38813 100.18982 100.08496 #>  [46978]  99.78978 100.55844 100.29457  99.92497  99.84488  99.87993  99.53894 #>  [46985]  99.42837 100.00000 100.37430 100.41912  99.88493  99.93998 100.22974 #>  [46992] 100.24470  99.81984 100.06498 100.03000  99.89995 100.15987 100.14490 #>  [46999] 100.06498  99.91997 100.37928 100.12992  99.92998  99.72462  99.81984 #>  [47006] 100.06998 100.39422 100.21477  99.89494  99.97000 100.52860 100.36434 #>  [47013] 100.11993 100.05998  99.90996 100.35935  99.99500  99.45853 100.12992 #>  [47020] 100.50871 100.30454 100.43406 100.40916 100.50373  99.77475  99.71961 #>  [47027]  99.72462  99.30760  99.68450  99.99000 100.33444 100.18982 100.04499 #>  [47034]  99.99500  99.62429  99.68450 100.41912 100.77698 100.35437  99.78477 #>  [47041]  99.83486  99.99000 100.20978  99.71459  99.93998 100.21477  99.74969 #>  [47048] 100.15987 100.32447  99.78477  99.88493  99.90996  99.84488  99.91997 #>  [47055] 100.16986  99.94498  99.86491 100.32447  99.35794 100.05998  99.94498 #>  [47062]  99.93498  99.88493 100.07497 100.27961 100.23971 100.15488 100.63797 #>  [47069] 100.29457  99.25220 100.11493 100.34939  99.95499  99.78477 100.34939 #>  [47076]  99.72462 100.03499 100.10994 100.46890  99.73966 100.21477 100.23472 #>  [47083] 100.53855  99.62931 100.30952 100.46392 100.50871  99.89995  99.92998 #>  [47090]  99.97000  99.93998  99.98500 100.15488 100.29955  99.67949  99.43842 #>  [47097] 100.35437  99.72462 100.01500 100.12992 100.24969  99.75971  99.97500 #>  [47104] 100.01000  99.61928 100.45895 100.39422  99.86491  99.81984 100.05498 #>  [47111] 100.40418 100.16486 100.22475 100.12992 100.07997  99.81984 100.13491 #>  [47118]  99.76973 100.10494  99.87492 100.18483  99.85489 100.38426  99.78978 #>  [47125]  99.91496 100.22974 100.40916 100.02000  99.98000 100.33942 100.37430 #>  [47132] 100.50871  99.49372 100.11993  99.81483  99.99000  99.96499  99.89995 #>  [47139]  99.92497  99.79479  99.88994  99.93498  99.99500 100.33444 100.39920 #>  [47146] 100.38426 100.05998  99.86491 100.06498 100.07497 100.45895  99.91496 #>  [47153]  99.65440 100.39920 100.05498 100.17984 100.00500  99.46356 100.36932 #>  [47160] 100.47388  99.91496 100.04499 100.11993 100.15987  99.64437  99.70958 #>  [47167] 100.12492 100.54352 100.42410 100.45397  99.91496 100.32946 100.42410 #>  [47174] 100.03999  99.74467  99.73465  99.67447  99.58916 100.12492  99.86491 #>  [47181]  99.49874  99.89995  99.91997 100.04499 100.04499 100.35935  99.55401 #>  [47188]  99.66945 100.42410 100.29457 100.24969  99.53894 100.40418 100.05998 #>  [47195] 100.03499 100.49378  99.64437 100.37928 100.15488  99.90996 100.25468 #>  [47202] 100.18982  99.61928  99.46859  99.47864  99.91496  99.94498  99.83987 #>  [47209] 100.37430  99.48869  99.88994 100.22475 100.23971 100.39920  99.67949 #>  [47216]  99.62931 100.21976 100.51865 100.65287 100.50373 100.34441  99.92497 #>  [47223] 100.24470  99.48367  99.80481 100.30454  99.66444  99.64939  99.29250 #>  [47230] 100.07497 100.36434 100.28958  99.99000  99.60422 100.22974  99.98500 #>  [47237]  99.81984 100.31451  99.75971  99.81483  99.86491 100.03999 100.16986 #>  [47244] 100.32946  99.97000  99.60422 100.31451  99.64939  99.81984 100.05998 #>  [47251] 100.07997 100.22475  99.91997 100.00500  99.95499  99.75971 100.00500 #>  [47258]  99.92998  99.88994  99.64437  99.83987  99.74969  99.94999  99.57911 #>  [47265] 100.26465 100.12492  99.75971  99.93998 100.13990 100.14989  99.66945 #>  [47272]  99.82986  99.62429  99.74467 100.79186 100.21477 100.25966 100.42908 #>  [47279]  99.96499  99.94999  99.27235  99.99500  99.82485  99.59920 100.00500 #>  [47286] 100.44899  99.97000 100.27462 100.47388  99.91496 100.26465  99.86491 #>  [47293] 100.25966  99.65942  99.29753 100.24470 100.02000  99.92497 100.06998 #>  [47300]  99.90996 100.05998 100.11993  99.97500 100.26465  99.72462 100.00500 #>  [47307] 100.14989 100.13491  99.82485  99.95499  99.79980 100.39422  99.63935 #>  [47314]  99.60422  99.86992  99.97500 100.15987  99.80982  99.46859  99.86992 #>  [47321] 100.35935 100.03000  99.94498 100.43904  99.82485  99.92998  99.90996 #>  [47328] 100.41414  99.91496 100.47388 100.22974 100.20978 100.17485  99.92497 #>  [47335] 100.04499 100.07997  99.88994 100.38924  99.75971 100.07497 100.26964 #>  [47342] 100.27961 100.19481  99.40825 100.19980 100.49378 100.21976 100.05998 #>  [47349] 100.04499 100.22475  99.70958 100.11493 100.03999 100.03000 100.08996 #>  [47356]  99.98000  99.84989  99.72462 100.24969  99.80982 100.49876  99.88994 #>  [47363]  99.61928 100.04999  99.70456 100.06998  99.75470 100.21477  99.67447 #>  [47370]  99.76472 100.53855 100.44899  99.87993 100.20978 100.08996  99.84488 #>  [47377]  99.83987  99.99000 100.07497  99.54898 100.03499 100.05998  99.93998 #>  [47384]  99.91496  99.46356  99.75470 100.04499 100.55844  99.94999 100.20978 #>  [47391] 100.02000  99.77475  99.48367  99.89995  99.80481  99.60422 100.04499 #>  [47398]  99.90495  99.70456  99.98500  99.66945 100.28460  99.84989 100.14490 #>  [47405] 100.20978 100.04999  99.83987 100.38924  99.73966 100.04499  99.77475 #>  [47412] 100.46392 100.34939 100.19481 100.04999  99.88493  99.95999  99.71961 #>  [47419]  99.87993  99.44848 100.09995 100.07497  99.87993  99.69453 100.32447 #>  [47426]  99.76472 100.25468 100.08496  99.79479  99.94999 100.17485 100.11993 #>  [47433] 100.27961  99.80481  99.80982  99.99500 100.40916  99.92998  99.62429 #>  [47440] 100.70253  99.66945 100.00000 100.00500 100.19980 100.01000  99.70456 #>  [47447]  99.59920 100.38426  99.91496 100.04499 100.34939  99.62931  99.73465 #>  [47454] 100.06998 100.23971 100.61312 100.29955 100.19481 100.22475 100.05498 #>  [47461] 100.55347  99.71961 100.28460  99.88994 100.34939 100.48383 100.03000 #>  [47468] 100.33444 100.56341 100.09495 100.42410  99.71459  99.72462 100.12992 #>  [47475] 100.62803 100.10994  99.84488 100.32447 100.22475 100.35437 100.37430 #>  [47482]  99.90495  99.78978 100.32946  99.72462 100.12492  99.78978  99.88994 #>  [47489]  99.47361  99.82986 100.03000 100.33444 100.31949 100.01000  99.90495 #>  [47496] 100.61312 100.09495  99.98500  99.84488 100.28460 100.50373  99.74969 #>  [47503] 100.40916  99.94498 100.30952  99.57911 100.04999 100.41414  99.68450 #>  [47510] 100.83650  99.61426  99.59418 100.19481  99.92497 100.04499  99.35291 #>  [47517]  99.94498  99.92497 100.27462  99.75971  99.66444 100.00000  99.88493 #>  [47524] 100.24470  99.91997  99.32774  99.46859 100.04499  99.83486 100.22974 #>  [47531] 100.08996 100.31451 100.11993  99.66444  99.74467  99.58916  99.91496 #>  [47538] 100.33444  99.78978  99.89494 100.33444 100.07497  99.80982 100.38924 #>  [47545] 100.30952 100.37928 100.30952 100.35437 100.19980  99.88994  99.83987 #>  [47552] 100.02000  99.86491  99.97000 100.33444 100.27961 100.12992 100.19980 #>  [47559]  99.90495 100.24969  99.44345 100.26964  99.92998 100.25966 100.10494 #>  [47566] 100.23971 100.14490  99.72462  99.77475  99.81984 100.03999  99.77976 #>  [47573]  99.81984  99.45351  99.71961 100.16986 100.11493 100.03000  99.91997 #>  [47580]  99.67447  99.54898 100.03499 100.45895  99.88493  99.80481  99.87993 #>  [47587]  99.87993  99.93498  99.87492  99.73465 100.20479 100.18483  99.90996 #>  [47594] 100.00500 100.39920  99.88994 100.25966 100.42410  99.53894 100.02500 #>  [47601] 100.37928  99.80982  99.69955 100.12992  99.74467  99.75971  99.99000 #>  [47608] 100.20479 100.19980 100.38924  99.88994  99.77976  99.86491 100.03000 #>  [47615]  99.63935 100.58827 100.30952  99.59418  99.93998  99.77976 100.13990 #>  [47622]  99.84488  99.90996 100.36932  99.95999  99.75470 100.11493  99.54396 #>  [47629]  99.69955  99.83987  99.63935  99.86491  99.64939  99.50377  99.45351 #>  [47636]  99.64939 100.46890  99.77475 100.05998  99.88994 100.07997  99.71961 #>  [47643] 100.15488  99.66444 100.31949  99.27739  99.87993  99.59418 100.39920 #>  [47650] 100.29955  99.79479  99.75971 100.49876  99.46356 100.42410 100.23971 #>  [47657]  99.90996 100.71246 100.25468  99.94999  99.50879 100.01500  99.97500 #>  [47664] 100.08996 100.05498 100.30952  99.80982 100.10494  99.35794 100.30454 #>  [47671]  99.99000 100.17485 100.15987 100.08496 100.10494  99.55401  99.88994 #>  [47678]  99.90495  99.78978  99.92497 100.32447 100.63300  99.59418  99.77976 #>  [47685]  99.98000 100.39422 100.10994  99.76973  99.95999  99.95499 100.07997 #>  [47692]  99.82986 100.03000 100.34441  99.34284  99.83987  99.67949  99.43842 #>  [47699] 100.29457 100.02000  99.93998  99.98500  99.98500  99.57409 100.35935 #>  [47706] 100.11493 100.28460 100.22974  99.94498  99.98000  99.98500 100.24969 #>  [47713] 100.51368  99.66945 100.22974 100.02500  99.74969  99.81984 100.16486 #>  [47720] 100.07997  99.60924  99.39819  99.84488  99.99000 100.16486  99.83987 #>  [47727]  99.97500 100.08996  99.97000 100.35935 100.27961 100.13990 100.00000 #>  [47734]  99.75971  99.60422 100.02500  99.91496  99.56907  99.70456 100.14490 #>  [47741]  99.62931 100.11993 100.04999  99.64437  99.81984  99.57911 100.25966 #>  [47748]  99.67949 100.14490  99.89494  99.95499  99.94999 100.18982 100.12992 #>  [47755] 100.14490 100.40418  99.74467 100.32946 100.23472  99.56405 100.07497 #>  [47762]  99.98500 100.09995  99.48367  99.54396  99.94498 100.40916 100.15987 #>  [47769] 100.50871  99.84488  99.90996  99.86491 100.51865  99.78978  99.94498 #>  [47776]  99.87993  99.67447  99.69453  99.99500  99.88994 100.01500  99.79479 #>  [47783]  99.73966  99.95999 100.32946  99.56405 100.09495  99.84488 100.44401 #>  [47790]  99.86992 100.24969  99.46859 100.02000 100.25966 100.22974 100.04999 #>  [47797] 100.26465  99.70958 100.18982  99.86992  99.57911 100.01500  99.94498 #>  [47804]  99.57409  99.83987  99.94999 100.38924 100.21976  99.85489  99.80481 #>  [47811]  99.80481  99.77475 100.25468  99.73465 100.20479 100.38924  99.64939 #>  [47818] 100.22974  99.73966  99.70456 100.02000  99.92497  99.94498  99.88994 #>  [47825]  99.37807 100.11493  99.85990  99.99000 100.05498  99.74467  99.33277 #>  [47832] 100.25966 100.36434  99.99000  99.98500 100.02500  99.91496  99.64437 #>  [47839] 100.62306 100.18483  99.72462 100.31949 100.31949  99.78477 100.20978 #>  [47846] 100.04999  99.81483  99.54396 100.14989 100.15488  99.83987  99.72462 #>  [47853]  99.59920  99.73966  99.65440 100.54352 100.35437 100.60815  99.80481 #>  [47860]  99.97000  99.73966 100.49378 100.50373 100.07497 100.10994 100.35437 #>  [47867] 100.22475 100.14989 100.39920  99.67949  99.60924  99.89995 100.30952 #>  [47874]  99.95499 100.39920  99.90495  99.84488  99.65942 100.42908 100.15987 #>  [47881] 100.19980  99.68952 100.35437 100.00500  99.50377 100.18483 100.08996 #>  [47888] 100.61809 100.54352 100.37928 100.02000  99.94999 100.14490  99.88994 #>  [47895] 100.23472 100.23472  99.82485 100.60318 100.12492 100.08496 100.01000 #>  [47902]  99.84989  99.47361  99.70958  99.88493  99.83486 100.12992  99.97000 #>  [47909]  99.89494 100.07997 100.10494  99.71961  99.75971  99.68450  99.69453 #>  [47916]  99.99500  99.98500  99.82485 100.01500  99.61928 100.44899 100.15987 #>  [47923] 100.27462 100.01500 100.31451 100.24969 100.26465  99.62429 100.22974 #>  [47930]  99.59920  99.87993  99.95499  99.52387 100.45895  99.62931  99.76973 #>  [47937] 100.11493  99.91496  99.55903  99.72963  99.63935 100.07497 100.41414 #>  [47944] 100.28958  99.86992  99.74969  99.97000  99.93498  99.93498 100.42410 #>  [47951] 100.06498 100.04999  99.69955  99.74969 100.11993  99.97500  99.95499 #>  [47958]  99.90495  99.64939  99.86992  99.72963 100.01500  99.65942 100.27462 #>  [47965] 100.16986 100.68764  99.64437 100.21477  99.76973  99.27235  99.52387 #>  [47972]  99.36297  99.60924 100.14989 100.01000 100.17984 100.50373  99.47864 #>  [47979] 100.16986  99.79479 100.33444 100.31949  99.91997  99.78978  99.57911 #>  [47986] 100.16986  99.55401  99.89995 100.02000  99.61426  99.82986  99.62931 #>  [47993] 100.14490 100.20479 100.07497 100.50373  99.85990 100.05498  99.98000 #>  [48000] 100.17984  99.80481  99.98000  99.96499 100.03499  99.79479 100.05498 #>  [48007] 100.11493  99.78477 100.34441 100.27961 100.03000 100.22974  99.66945 #>  [48014] 100.32946 100.11493 100.03999  99.47361  99.74969  99.64939 100.38924 #>  [48021] 100.02500 100.66777  99.81483 100.06498  99.79980  99.89995  99.96499 #>  [48028] 100.40418 100.21976  99.41831 100.60318 100.10994 100.40916  99.99500 #>  [48035] 100.38426  99.90996 100.36932  99.98500 100.47388  99.42837 100.54850 #>  [48042] 100.24470  99.98000  99.77475  99.98500  99.51884  99.80982 100.24470 #>  [48049] 100.32946 100.18483  99.82986  99.62931  99.63935  99.66945 100.08496 #>  [48056] 100.24969  99.38813  99.70456  99.98000 100.14989 100.33444 100.27462 #>  [48063] 100.10994  99.64437 100.59821 100.53855  99.54396 100.51368  99.83987 #>  [48070]  99.61426 100.21976  99.91997 100.10994 100.00000  99.70958 100.50871 #>  [48077] 100.39920  99.84488  99.41328  99.33781  99.88994 100.16486 100.11993 #>  [48084] 100.03499  99.70958  99.54898  99.92998 100.17984  99.92497 100.12992 #>  [48091]  99.71459  99.57911  99.97000 100.75217 100.22475  99.88994 100.04999 #>  [48098] 100.17485  99.68952  99.74467 100.08496 100.03499  99.34787  99.66945 #>  [48105] 100.03999 100.34441  99.52387 100.01500 100.22475 100.41414  99.88493 #>  [48112]  99.95999  99.72462 100.35437  99.97000  99.90495  99.89995 100.26964 #>  [48119] 100.25966  99.92497  99.68952 100.30454  99.77976 100.42410 100.01000 #>  [48126] 100.41414 100.10994 100.41414  99.76973 100.19980  99.85489 100.03000 #>  [48133]  99.75470  99.70958  99.71961 100.66777  99.56907 100.01500  99.61928 #>  [48140] 100.03000  99.77475 100.37928 100.54850  99.97000  99.93998  99.90996 #>  [48147]  99.95999 100.42410  99.75470 100.10494 100.12492  99.60924 100.29457 #>  [48154] 100.28460  99.76973 100.04999  99.89995  99.93498  99.65942  99.94999 #>  [48161] 100.34441  99.59418 100.25468  99.48869 100.28460  99.75470 100.14989 #>  [48168] 100.35935 100.19481 100.51865 100.32447 100.06498  99.80982  99.61426 #>  [48175] 100.22974  99.85990  99.79479  99.84989 100.21976  99.74467  99.60422 #>  [48182] 100.46392 100.22475 100.25966 100.30454 100.08996 100.00500 100.09495 #>  [48189] 100.10994  99.72963 100.05998 100.18982  99.73465  99.65440  99.92998 #>  [48196] 100.16486  99.69955  99.78477 100.09495  99.89494  99.97500 100.13491 #>  [48203]  99.79980  99.60422  99.52889 100.41414  99.66945 100.15987  99.95499 #>  [48210]  99.88493  99.90996 100.56341  99.66444  99.97000 100.32447 100.02000 #>  [48217]  99.78477 100.31949  99.91997 100.22475  99.85489  99.57911 100.04999 #>  [48224] 100.11493 100.11493 100.06998  99.67447  99.91496 100.39920 100.09495 #>  [48231]  99.49874 100.34441 100.06998  99.90495 100.37430  99.65942  99.27235 #>  [48238] 100.17485  99.60422 100.03000 100.12492  99.66945 100.04499  99.57911 #>  [48245]  99.76472  99.51382  99.52889 100.02500  99.93998 100.10494  99.96499 #>  [48252] 100.30952  99.78477  99.69955  99.70958  99.97000  99.87492  99.64437 #>  [48259] 100.09995  99.82986 100.28958  99.79980  99.83987  99.58916  99.92497 #>  [48266]  99.84488 100.02000  99.82485 100.11993 100.46890 100.40418  99.94999 #>  [48273] 100.12492 100.13491  99.91496 100.60318  99.89494  99.76973  99.55401 #>  [48280]  99.80982  99.60924  99.86992 100.20978 100.11493  99.76472  99.93998 #>  [48287]  99.68450 100.08996  99.41831  99.90495  99.97000 100.14989  99.72963 #>  [48294] 100.45397  99.70958  99.70456  99.97000 100.12492 100.12492 100.13990 #>  [48301]  99.53894  99.36297  99.87993  99.88994  99.70958  99.93498 100.11493 #>  [48308]  99.50377 100.04999 100.09495  99.66444  99.92497 100.21477 100.35935 #>  [48315]  99.69955  99.63935 100.00500 100.02000 100.05998  99.53894 100.07997 #>  [48322] 100.02000 100.30952 100.40916  99.47361  99.98500 100.76210 100.08496 #>  [48329]  99.58414 100.18483 100.34441  99.70456 100.03999 100.23971  99.55903 #>  [48336]  99.91997  99.63935 100.02500 100.35935 100.37430 100.68267 100.13990 #>  [48343] 100.46890  99.78978 100.20978  99.72462  99.99500 100.75713  99.74969 #>  [48350] 100.05998 100.24969 100.11493 100.02000  99.43842  99.91997 100.05498 #>  [48357]  99.94498  99.94498 100.09495  99.87993 100.17485  99.55903  99.93498 #>  [48364] 100.05498 100.18982 100.54352  99.79479  99.70958  99.81984  99.89995 #>  [48371] 100.66777 100.31451 100.21976 100.13491  99.90996 100.28958  99.77475 #>  [48378]  99.65440  99.75470  99.58916 100.03499  99.70456 100.00000  99.51382 #>  [48385] 100.42908  99.93998  99.96499  99.62931 100.03999 100.19481 100.42908 #>  [48392]  99.15140  99.72462  99.94999  99.72963 100.38426 100.01000 100.37430 #>  [48399] 100.00000 100.29457  99.76973  99.87492 100.25468 100.07997 100.06498 #>  [48406]  99.80982 100.34939 100.47885 100.05998 100.41414 100.25966 100.28958 #>  [48413]  99.96499  99.79980  99.50879 100.14490  99.63935  99.80982 100.34939 #>  [48420]  99.99000  99.91997 100.09995 100.30952  99.92497 100.40418  99.88994 #>  [48427]  99.36800 100.40418  99.83987  99.26732 100.32946  99.97500  99.78978 #>  [48434] 100.56341  99.72462 100.06498  99.94498 100.45397  99.95499 100.22974 #>  [48441] 100.28958 100.24969 100.15987 100.38924  99.96499 100.72239 100.32447 #>  [48448]  99.62429  99.77475  99.82485  99.60422  99.67949 100.43904  99.82485 #>  [48455]  99.94999  99.97500 100.45895  99.23709  99.69955 100.20479  99.48869 #>  [48462] 100.27961  99.65942 100.13491  99.34787 100.03999  99.63433  99.31264 #>  [48469] 100.38426 100.08496  99.72462 100.34441  99.92497  99.60924 100.12492 #>  [48476]  99.35291  99.82485 100.01000  99.71961  99.52387  99.60924 100.20978 #>  [48483] 100.02500  99.75470  99.57409  99.76973  99.97500 100.03000  99.81984 #>  [48490]  99.84989  99.87993 100.29457 100.35437  99.81483 100.25468  99.88994 #>  [48497]  99.95499 100.31949 100.51368 100.27462  99.46356 100.11993 100.40418 #>  [48504]  99.77475 100.04499 100.29955 100.21477 100.19481 100.12492 100.10494 #>  [48511] 100.09995 100.31451  99.61426 100.02500  99.95999 100.25966 100.32447 #>  [48518] 100.05998 100.53358  99.64939 100.07997  99.73465  99.71961 100.16986 #>  [48525]  99.88493 100.49876 100.40916  99.47361  99.75971  99.88994  99.50377 #>  [48532] 100.05998  99.55401 100.32447 100.32447  99.85489 100.33942  99.99500 #>  [48539]  99.89494 100.17984  99.74969  99.74969 100.43406  99.81984 100.45895 #>  [48546] 100.18982  99.98000 100.15987 100.08496  99.62429  99.75470 100.22475 #>  [48553]  99.73966  99.99500  99.58916 100.01000  99.87492 100.36434  99.84488 #>  [48560]  99.92497 100.79683 100.02500  99.84488 100.03999 100.05998  99.63935 #>  [48567] 100.07997 100.10994  99.81483 100.09495  99.81483 100.22974 100.19481 #>  [48574] 100.16986 100.18483 100.25468 100.58827  99.85489  99.59418  99.58414 #>  [48581]  99.95499 100.64790 100.34939  99.70958  99.66945 100.26465  99.99000 #>  [48588]  99.53894  99.74467 100.31949 100.12492 100.41912 100.37928 100.25966 #>  [48595] 100.40916 100.06998 100.25966  99.29753  99.80481 100.21477 100.23971 #>  [48602] 100.12992 100.24969  99.81483  99.59920 100.41912 100.02500 100.51368 #>  [48609] 100.16986  99.66945 100.08496  99.96499  99.92497 100.30952  99.87492 #>  [48616] 100.25468 100.16486  99.54898  99.86992  99.43842  99.81483  99.89995 #>  [48623] 100.37928  99.72462 100.03499 100.06498 100.60318 100.13491  99.97500 #>  [48630] 100.18982 100.45895 100.51865  99.84488  99.89995 100.22974 100.09995 #>  [48637] 100.16986  99.73966  99.71961 100.23472  99.96499  99.97000  99.45853 #>  [48644]  99.69453 100.13491  99.98000 100.41414 100.14989 100.40916 100.11493 #>  [48651] 100.33942 100.42410 100.37430  99.87492  99.98500 100.32946 100.17984 #>  [48658] 100.08496  99.66444 100.41414 100.10994  99.91997  99.70456  99.92998 #>  [48665]  99.76973 100.13990 100.32946  99.39316  99.74467  99.50879  99.53894 #>  [48672]  99.87993  99.43842 100.02000 100.02000 100.04999 100.17485  99.46859 #>  [48679]  99.92497  99.65440 100.20978  99.31767 100.14989  99.93998 100.01000 #>  [48686]  99.78978  99.95999  99.68450 100.53358 100.15488  99.83486  99.70456 #>  [48693]  99.97500 100.55844 100.12492  99.64939 100.07997 100.44899  99.55401 #>  [48700]  99.86491 100.24969 100.06498 100.04999 100.25966 100.52860 100.23971 #>  [48707]  99.88493  99.80481 100.39422 100.17485  99.99000  99.86491 100.52860 #>  [48714] 100.22974  99.87993 100.02500  99.84989 100.03499 100.21477 100.65784 #>  [48721]  99.83486  99.94498  99.76973 100.18483  99.51382  99.64437  99.99000 #>  [48728] 100.26964 100.45895 100.31949 100.06998  99.74467  99.50879  99.82986 #>  [48735] 100.45895 100.05998  99.85990  99.68450 100.11993  99.61928 100.18982 #>  [48742]  99.85489 100.40418 100.12992 100.42410 100.00500  99.87492 100.21976 #>  [48749]  99.98000  99.87492 100.46890  99.86992  99.91496  99.94999 100.31949 #>  [48756]  99.94498 100.51368 100.16986  99.84989 100.20479 100.58330  99.98000 #>  [48763]  99.73465  99.98000 100.10494 100.16986 100.38924 100.05998 100.10494 #>  [48770] 100.07497 100.17485  99.89494  99.63935 100.60815  99.99500 100.06498 #>  [48777] 100.11993 100.25966  99.79479 100.12992  99.50377  99.91496 100.04999 #>  [48784]  99.94999 100.10494  99.83987  99.84989  99.48367  99.51884  99.27235 #>  [48791]  99.97500 100.24969 100.09495  99.91997 100.19481 100.02500 100.04499 #>  [48798]  99.92998  99.92497  99.83486  99.97000  99.75971  99.97500 100.50871 #>  [48805] 100.14989  99.89995 100.13990 100.13491 100.59821  99.99000  99.83987 #>  [48812] 100.02500  99.87492 100.26964  99.69453 100.06498  99.85990  99.75971 #>  [48819]  99.88994 100.04499 100.09495 100.16486  99.74969  99.86491 100.06498 #>  [48826] 100.14490 100.58330  99.76472 100.42410  99.87993 100.20978 100.22974 #>  [48833]  99.86491  99.83987 100.48881  99.39316  99.75971  99.89494  99.24717 #>  [48840] 100.56838 100.19481 100.28958  99.27739 100.17485  99.84989  99.79479 #>  [48847]  99.93498 100.15488  99.64437  99.77976  99.85489  99.43842  99.94498 #>  [48854] 100.29955 100.00500 100.10494  99.93998 100.66280 100.32946 100.28958 #>  [48861] 100.49876  99.98500 100.07997  99.69955  99.75470  99.63433 100.39920 #>  [48868] 100.03000 100.36932  99.67949  99.86491 100.02500 100.10494  99.68450 #>  [48875] 100.24470 100.19980  99.70958 100.22475  99.73465  99.86491  99.90996 #>  [48882]  99.95499  99.87492  99.54898 100.08996 100.34939  99.95999 100.13491 #>  [48889] 100.48383  99.79980  99.93998  99.78477 100.19481 100.27462 100.51368 #>  [48896]  99.99000  99.71961  99.87492 100.33444 100.24470 100.07497 100.05998 #>  [48903] 100.66777 100.19980 100.16486 100.45895 100.04999 100.02000  99.57911 #>  [48910]  99.71459 100.35935  99.76973 100.44401 100.33942 100.22475 100.04999 #>  [48917] 100.02500  99.85990  99.80481  99.94498 100.31451  99.86992 100.21976 #>  [48924]  99.91496  99.90495  99.85990 100.18483  99.63433 100.15987  99.24717 #>  [48931]  99.71459  99.99500 100.37928 100.09995 100.24470 100.04499  99.77976 #>  [48938] 100.39422  99.94999 100.05998 100.61809  99.90495  99.73966  99.84488 #>  [48945]  99.58414 100.15488  99.87993  99.68450 100.35935  99.79980  99.75971 #>  [48952] 100.28460  99.67949  99.74969  99.90996 100.26964 100.02500 100.13491 #>  [48959] 100.19481  99.65440 100.33942  99.81984 100.65287 100.28460 100.19481 #>  [48966]  99.96499  99.93998 100.39422 100.07997  99.58414  99.94498 100.53358 #>  [48973]  99.93498  99.29753 100.51865 100.33942 100.15987 100.25966  99.99500 #>  [48980] 100.31949 100.05998 100.48383  99.94498 100.41414  99.54898 100.46890 #>  [48987] 100.26465 100.37430 100.24969 100.13491 100.19481 100.23971 100.10494 #>  [48994]  99.96499 100.46392 100.24470 100.18982 100.04499  99.83486  99.85489 #>  [49001]  99.81984  99.47864 100.05498 100.08496 100.16986  99.78477  99.94498 #>  [49008] 100.47388  99.55401 100.07997 100.08996  99.79980  99.90996  99.95999 #>  [49015]  99.93498  99.63433 100.34939 100.39920  99.53894 100.31949 100.10494 #>  [49022]  99.61426 100.12492 100.82658 100.10994  99.48367  99.86491  99.57911 #>  [49029]  99.63935 100.07497 100.10994 100.15987 100.00500  99.87993  99.69955 #>  [49036] 100.24470 100.17984  99.40322 100.35935 100.78194  99.94498 100.28460 #>  [49043]  99.92998 100.20978 100.39920 100.10994 100.22475  99.92998 100.21477 #>  [49050] 100.24969 100.03000  99.73966 100.01000  99.98500 100.76706 100.29457 #>  [49057]  99.59418  99.91496  99.93998 100.27961 100.13990  99.50879 100.21477 #>  [49064] 100.03499 100.26465  99.85990 100.29457 100.29457 100.10994 100.08996 #>  [49071] 100.12992  99.57409 100.56838 100.10994 100.13990 100.26465 100.35935 #>  [49078] 100.17984  99.87993  99.58414  99.87993  99.74467 100.36932  99.65440 #>  [49085] 100.24969  99.63433 100.10994  99.65942 100.26465 100.10994  99.69955 #>  [49092]  99.91496 100.00500 100.01500 100.12492 100.33942  99.64939  99.58414 #>  [49099] 100.51865 100.41912  99.77976 100.73728 100.47885 100.13491 100.00000 #>  [49106]  99.86992 100.32946 100.06498 100.20479 100.30952  99.91997 100.43904 #>  [49113] 100.11493  99.83987 100.18982 100.08496  99.78978 100.04499 100.31451 #>  [49120]  99.73465  99.73465 100.39422 100.43904 100.32447 100.33444  99.86491 #>  [49127] 100.57833  99.93498 100.21976  99.89995  99.72963 100.09995 100.48383 #>  [49134] 100.42908 100.34441 100.20978 100.27462  99.71961 100.02000  99.33277 #>  [49141]  99.61426  99.53391 100.53855  99.76973 100.31949  99.88994  99.70456 #>  [49148] 100.51865  99.85990  99.99000 100.26465  99.97500 100.39422  99.94498 #>  [49155] 100.06998  99.75470  99.68952 100.13990 100.02500  99.88493 100.24969 #>  [49162] 100.05998 100.21976 100.83154  99.61928 100.09995 100.48383  99.73966 #>  [49169]  99.79479  99.99500 100.08496 100.46392  99.55401  99.86491  99.94999 #>  [49176] 100.39422  99.54396  99.94999 100.03000 100.30952  99.89995  99.90996 #>  [49183] 100.02500 100.26465 100.18982 100.31949  99.80982  99.75971 100.13491 #>  [49190] 100.21477 100.07497  99.84989 100.38426 100.34939 100.10994  99.58414 #>  [49197]  99.90495  99.79980  99.70958 100.12992  99.97000  99.88493  99.75971 #>  [49204] 100.28958  99.93498  99.74969 100.24470  99.76472 100.38426  99.93498 #>  [49211] 100.17984  99.64939  99.34787  99.83987  99.96499  99.52387  99.91997 #>  [49218] 100.10994 100.10494 100.23971 100.06998  99.86491  99.77475 100.02000 #>  [49225] 100.32447 100.28460  99.94999 100.27961 100.02500 100.27961  99.50377 #>  [49232] 100.27961 100.18483  99.56405  99.97500 100.02000 100.61809 100.13990 #>  [49239]  99.39819  99.83486  99.83486 100.14490  99.51884  99.51382 100.05998 #>  [49246]  99.95999 100.09495 100.44401  99.68450 100.34939 100.29955  99.70456 #>  [49253]  99.89494  99.68952 100.61312  99.84989 100.05998  99.67949  99.84989 #>  [49260]  99.77475  99.97000  99.67949  99.77976  99.95499 100.63300  99.64437 #>  [49267]  99.44848  99.75971 100.11993  99.77475 100.00500  99.78477  99.82986 #>  [49274]  99.66945  99.91496  99.86992  99.89995 100.24969 100.18483 100.26964 #>  [49281]  99.74969  99.88493  99.17661 100.40418  99.95499  99.90495 100.45397 #>  [49288] 100.07497 100.03999 100.24969 100.12492  99.98500  99.81984  99.93998 #>  [49295] 100.03000 100.22974 100.45397 100.38426  99.87492 100.21477 100.01000 #>  [49302]  99.80982 100.18483 100.05998  99.85489  99.44345  99.93998  99.78978 #>  [49309] 100.54850 100.07997 100.35935  99.64939 100.34939  99.68450 100.36932 #>  [49316] 100.16986 100.14490  99.43339  99.99000 100.67770 100.18982  99.78978 #>  [49323]  99.95999  99.60924  99.89995 100.02500  99.88493 100.30952 100.02000 #>  [49330] 100.19481  99.87993 100.04999 100.34939  99.52387  99.68952  99.33277 #>  [49337] 100.07497 100.05498 100.01500 100.21976  99.73465  99.83486 100.28958 #>  [49344] 100.34441 100.20978 100.06998 100.03999 100.15488 100.12492 100.08496 #>  [49351] 100.12992  99.40825  99.61426  99.92497  99.84989 100.29955 100.43904 #>  [49358]  99.83486  99.90495  99.46356 100.69260 100.11493  99.91997 100.25966 #>  [49365] 100.03499  99.69453 100.07497 100.35437  99.98500 100.13990  99.76472 #>  [49372]  99.66945 100.11993 100.00000  99.75971  99.39819 100.13491  99.88493 #>  [49379] 100.08996 100.03000 100.46890  99.93998  99.66444  99.93998  99.72462 #>  [49386]  99.47864 100.03999 100.20978  99.80982 100.28958  99.40825  99.44345 #>  [49393] 100.39422  99.84488 100.04999 100.27961  99.99000  99.76973 100.20978 #>  [49400] 100.08496  99.71459 100.58330  99.95999  99.92998  99.86992  99.79479 #>  [49407]  99.80982  99.67447  99.90495 100.01000 100.13990  99.81984 100.00500 #>  [49414]  99.60924 100.00000 100.12492  99.97000 100.14490 100.13491 100.29457 #>  [49421]  99.67447  99.82986 100.60318  99.71459 100.06498 100.31949  99.54898 #>  [49428]  99.88994 100.07497 100.18982 100.30454 100.32447 100.23971  99.39316 #>  [49435]  99.72963  99.94498 100.17485 100.00000 100.21477 100.26465 100.00500 #>  [49442]  99.92497 100.32946  99.51884 100.00500  99.83486 100.30454 100.24969 #>  [49449]  99.90996 100.37928 100.15488  99.87492  99.92998  99.85489 100.64790 #>  [49456] 100.23971 100.05498  99.66945 100.58330 100.52363 100.18483 100.04999 #>  [49463]  99.62931  99.89494 100.65287  99.89494 100.31451  99.70958  99.74969 #>  [49470]  99.95999  99.84488 100.01000  99.84989 100.28460 100.02500 100.33444 #>  [49477] 100.22974  99.61426  99.50879 100.27462 100.05498  99.90996  99.74969 #>  [49484]  99.89995  99.77475  99.77976  99.65942  99.73465 100.17984  99.74969 #>  [49491] 100.31451 100.12992 100.08996  99.98500 100.33942  99.80982  99.69955 #>  [49498] 100.19980  99.95499  99.77976 100.27961  99.96499 100.13990 100.01000 #>  [49505]  99.51884 100.03000 100.08496 100.15987  99.80481  99.76472 100.44401 #>  [49512]  99.93498  99.86491  99.87492  99.93998  99.56405 100.18982 100.31949 #>  [49519]  99.75470 100.14490 100.24969 100.17485 100.05498  99.91997  99.72963 #>  [49526]  99.65440 100.46392 100.08496  99.66945  99.71459  99.66444 100.06998 #>  [49533] 100.25966  99.96499  99.50879  99.80481 100.35935 100.27961  99.82485 #>  [49540] 100.53358 100.07997  99.46356 100.46392 100.37928  99.85990 100.08496 #>  [49547] 100.12492 100.34441 100.24969  99.64437 100.21477  99.39819 100.24470 #>  [49554]  99.71459  99.39316 100.03999  99.95999 100.01000  99.57409  99.81984 #>  [49561] 100.01500  99.52889 100.20479 100.14989  99.39316 100.14989  99.61426 #>  [49568]  99.87492  99.93998  99.92497  99.72963 100.14989  99.89494 100.02500 #>  [49575] 100.20978 100.01000  99.93998 100.18982  99.52889 100.41912 100.09495 #>  [49582]  99.48367  99.84989 100.01000 100.35935  99.67447  99.90495  99.90495 #>  [49589]  99.85990  99.86992  99.75971 100.05498  99.69453  99.90495 100.28958 #>  [49596]  99.26228 100.32946  99.49372 100.53358 100.21477  99.99500  99.59920 #>  [49603]  99.97000  99.81984 100.24470  99.89995 100.13491  99.85489  99.99000 #>  [49610] 100.26964 100.08496 100.16986 100.13491 100.63797 100.29457  99.66945 #>  [49617] 100.09995  99.70456  99.74969  99.74467  99.81984 100.31949  99.55903 #>  [49624]  99.78978 100.22974  99.63433  99.73966 100.26465  99.99500 100.16986 #>  [49631] 100.05998  99.97000 100.17485 100.39920  99.91997 100.12992 100.22475 #>  [49638] 100.04499 100.24969 100.06998  99.67949 100.14989  99.96499 100.03999 #>  [49645] 100.05998  99.82986  99.44345  99.88493  99.81483  99.80481  99.33277 #>  [49652] 100.08996  99.92998 100.06498 100.09495  99.83987 100.08996  99.81483 #>  [49659]  99.97500  99.76472  99.61928  99.62931  99.77976 100.76706 100.13990 #>  [49666] 100.09995  99.68450  99.51884  99.92998  99.95999 100.16986  99.62931 #>  [49673] 100.02000 100.17984 100.07997  99.90996 100.02500 100.13491 100.50871 #>  [49680] 100.17485 100.14490 100.07997  99.53391 100.45397 100.41912  99.79479 #>  [49687] 100.33444 100.16986  99.63935 100.57336  99.92497  99.98000 100.11993 #>  [49694]  99.54898 100.26964  99.39819  99.86992  99.73966 100.39422 100.05498 #>  [49701] 100.25468  99.97500  99.94498 100.32447  99.67447  99.84488 100.10994 #>  [49708] 100.02500  99.75470  99.70456 100.24470  99.82485  99.95499  99.95999 #>  [49715] 100.05498  99.53391  99.77976 100.38924 100.08496  99.99000 100.08496 #>  [49722] 100.24470 100.10994 100.13491  99.95999 100.34441 100.52860 100.12492 #>  [49729]  99.77976  99.84488 100.85138 100.06998 100.31949 100.26964  99.72462 #>  [49736]  99.64939  99.98500 100.07997  99.79980 100.28958 100.05998 100.61312 #>  [49743]  99.64939 100.16486  99.73465 100.30952  99.87993 100.04999 100.06998 #>  [49750]  99.40825  99.93498  99.58916 100.10994 100.16486  99.59920 100.06498 #>  [49757] 100.69757 100.09495 100.20479 100.03000  99.89995  99.86491  99.53391 #>  [49764] 100.11493  99.85990  99.94498  99.99500 100.28958  99.93498 100.44899 #>  [49771]  99.72963 100.26964 100.08496  99.79479 100.03999  99.78978 100.34441 #>  [49778] 100.52860 100.49876 100.60318  99.91997 100.16486 100.16986 100.04999 #>  [49785] 100.40418 100.07497  99.96499  99.94498  99.97000 100.34441  99.85990 #>  [49792] 100.42410 100.19980  99.89995  99.96499  99.83486 100.41414 100.17984 #>  [49799] 100.20479  99.71459 100.01500  99.61426 100.03499  99.62931 100.10994 #>  [49806] 100.14490  99.66945  99.83987  99.69453  99.48367 100.48881  99.78477 #>  [49813] 100.39422  99.53894 100.35437  99.91997  99.56405  99.93498 100.41912 #>  [49820] 100.05498 100.34441  99.89995 100.42410 100.16986  99.72462 100.50373 #>  [49827] 100.52363 100.12492 100.02000  99.93498  99.78978 100.29457  99.50879 #>  [49834] 100.26964 100.36932  99.90996 100.17485  99.68952 100.59324 100.39422 #>  [49841]  99.75971  99.80481  99.86491  99.93998 100.17485  99.97500 100.16986 #>  [49848]  99.76472  99.61928  99.67949  99.79479  99.66444 100.40916 100.03999 #>  [49855] 100.06498 100.16486 100.28958 100.07997 100.14490 100.43406  99.79980 #>  [49862] 100.32946 100.35437 100.19481  99.66945  99.77976 100.13990 100.03000 #>  [49869] 100.19481  99.85489 100.31451  99.97000  99.70958 100.08496 100.02000 #>  [49876] 100.09495  99.67949 100.28958 100.25966  99.76472 100.39920 100.31451 #>  [49883]  99.53391  99.83486  99.43842  99.67949 100.00500  99.66945  99.69453 #>  [49890] 100.52363 100.07497 100.07497 100.01500  99.88994  99.84989  99.79479 #>  [49897] 100.26964 100.20479  99.76472 100.29457  99.80982  99.56907 100.26465 #>  [49904] 100.18982  99.50879  99.86992 100.10994  99.61426 100.27462  99.46356 #>  [49911] 100.06498 100.11493 100.04999  99.65942 100.25966 100.05498 100.14490 #>  [49918]  99.39316 100.37928 100.21477 100.18982  99.44848  99.99000 100.23472 #>  [49925] 100.36932  99.90495 100.12492 100.31451 100.05998 100.03499 100.40916 #>  [49932] 100.03000 100.00500  99.49874 100.02500  99.97500  99.87993  99.65440 #>  [49939]  99.88994  99.57911  99.78477 100.23971 100.28460  99.93498 100.31949 #>  [49946] 100.30454  99.93498 100.25966  99.38310  99.72963  99.88994  99.52387 #>  [49953]  99.41831  99.49372 100.05998 100.40916  99.84488 100.50373  99.97500 #>  [49960] 100.42410 100.05998 100.03000 100.10494 100.33942  99.83987 100.07497 #>  [49967]  99.88994 100.25966 100.07497  99.37303  99.84989  99.99000  99.74969 #>  [49974] 100.01500 100.16486 100.01500 100.03999  99.99000  99.91496 100.09495 #>  [49981] 100.21477 100.53358 100.44401  99.90495 100.22974 100.12492  99.94999 #>  [49988] 100.03000  99.90996  99.49372 100.06998 100.79186 100.22974  99.81984 #>  [49995] 100.14490 100.50871  99.63433  99.78978 100.19481 100.20479 100.10494 #>  [50002]  99.72462  99.92497 100.03499 100.44899  99.65942  99.87492 100.23472 #>  [50009]  99.68450 100.22475  99.72963  99.69453 100.40418  99.97500 100.03000 #>  [50016] 100.12992  99.72963  99.78477  99.89995  99.85990 100.32447 100.12492 #>  [50023]  99.79479 100.24470  99.76472 100.01000 100.24470  99.73966 100.23472 #>  [50030]  99.92497  99.66444 100.18982 100.09495  99.70456  99.87492  99.83987 #>  [50037]  99.99500  99.91496  99.79980 100.31451 100.26964 100.15987  99.78477 #>  [50044]  99.81984 100.12492  99.97500  99.51884 100.25468 100.02500 100.11493 #>  [50051]  99.42334  99.62931 100.62306  99.71961 100.28958 100.11493  99.84488 #>  [50058] 100.12992  99.63935 100.20978 100.42908 100.02500 100.65287  99.78978 #>  [50065] 100.37430 100.11493  99.59418 100.06498  99.82986  99.90996 100.04499 #>  [50072] 100.00000 100.21976  99.98500 100.45895 100.01000 100.09995 100.12992 #>  [50079] 100.34441  99.62931  99.90495 100.09495  99.70958  99.80481  99.94999 #>  [50086] 100.15987  99.80481 100.17485  99.89995  99.94999  99.65942 100.11993 #>  [50093]  99.93498 100.24969 100.47388  99.82986  99.50377 100.15987 100.31949 #>  [50100] 100.02000 100.31949 100.07497 100.29955 100.07497  99.73465  99.83987 #>  [50107] 100.13491 100.02000  99.91997  99.97500 100.28460 100.70750 100.29457 #>  [50114]  99.67949 100.12992  99.99500 100.09995 100.18483 100.25966  99.81984 #>  [50121]  99.76472  99.54898 100.16986 100.12492  99.92497  99.61426 100.42410 #>  [50128]  99.69955 100.31451 100.26465  99.87993  99.79980  99.52889 100.34939 #>  [50135]  99.50879  99.73465 100.43904  99.27739 100.00000  99.84488 100.38426 #>  [50142]  99.43842  99.45351  99.77976 100.14490 100.39422 100.17984 100.04499 #>  [50149] 100.12992 100.11993  99.79479 100.13990 100.26465 100.71743  99.68952 #>  [50156]  99.58414  99.98500  99.61928 100.24969  99.88994 100.38924  99.97000 #>  [50163]  99.91496  99.84989 100.41912  99.99500  99.99500 100.43406  99.98000 #>  [50170] 100.01000  99.84989  99.64939 100.36932  99.74969 100.25966  99.78978 #>  [50177]  99.38813  99.86491 100.63797 100.16986  99.98500  99.26732 100.21976 #>  [50184]  99.60924  99.49874 100.30952  99.87492 100.08996 100.39920 100.25468 #>  [50191]  99.70456 100.16986 100.28958  99.80481 100.09995  99.66945  99.81483 #>  [50198] 100.18483 100.41912  99.93998  99.51884  99.90996  99.81483 100.04499 #>  [50205] 100.13491  99.76973  99.86491  99.93498 100.04499 100.51865  99.93498 #>  [50212]  99.99500 100.01500 100.67770 100.05498 100.16486 100.15987 100.04999 #>  [50219] 100.14989 100.16486 100.84146 100.12492 100.57336 100.00000  99.60422 #>  [50226]  99.61928  99.68450  99.75470 100.46392  99.57409  99.95999 100.29955 #>  [50233]  99.46859 100.49378  99.78477 100.08496  99.84488 100.12992  99.72462 #>  [50240] 100.11493  99.89494 100.20479 100.49876  99.93998  99.89494  99.94498 #>  [50247] 100.53855 100.04499 100.45397 100.10494 100.36932  99.84488 100.06498 #>  [50254]  99.91997  99.71961 100.19980  99.95499 100.43406  99.79479 100.24470 #>  [50261]  99.60422 100.14989  99.65440  99.55903  99.89995  99.92497  99.68450 #>  [50268]  99.99000  99.77475  99.51884 100.54850 100.04999 100.39920  99.84488 #>  [50275] 100.38426 100.05498 100.18483 100.21976 100.58330  99.69955 100.07497 #>  [50282]  99.97000  99.19173  99.96499  99.68952 100.07497  99.82986 100.30454 #>  [50289] 100.06498 100.46392 100.04999  99.56405  99.43339 100.33942 100.33444 #>  [50296]  99.69955 100.11493  99.76973 100.10994  99.75470  99.73966  99.86992 #>  [50303]  99.90996  99.48367  99.45351 100.14989 100.45895 100.01500  99.92497 #>  [50310] 100.28958 100.16986 100.13990  99.92998 100.14989  99.52889  99.62429 #>  [50317]  99.94498  99.36297 100.38924  99.54396 100.06498 100.29457  99.84488 #>  [50324] 100.16986  99.76472  99.89494 100.32946  99.94999 100.01000 100.43406 #>  [50331]  99.83987  99.97000 100.23971  99.62429  99.99500  99.87492 100.45895 #>  [50338] 100.01500 100.11993  99.92497 100.04999  99.74969 100.11493 100.19481 #>  [50345]  99.83486  99.92998 100.46890  99.92497 100.38924  99.74969 100.23971 #>  [50352] 100.29955  99.61426 100.42908 100.01500  99.78978  99.97000  99.95499 #>  [50359]  99.73966 100.39920 100.21477  99.86491 100.58330  99.83987 100.07497 #>  [50366]  99.78978 100.16486 100.04499  99.60422  99.93998  99.76973  99.77475 #>  [50373]  99.73465 100.49378 100.31451 100.18982 100.34939 100.13990 100.37430 #>  [50380] 100.19481 100.40916  99.89995 100.23971  99.72462 100.30454 100.00000 #>  [50387]  99.83987 100.35935  99.56405 100.47388 100.14490 100.42410 100.18483 #>  [50394]  99.84989  99.58916  99.52889  99.91496  99.78978  99.88493  99.86992 #>  [50401]  99.60422  99.70958  99.65440  99.95499  99.95499  99.91496 100.29457 #>  [50408]  99.95499 100.48383  99.84488 100.15488  99.77475 100.02500 100.18483 #>  [50415] 100.08496 100.23971 100.70750  99.41831  99.77976 100.09995  99.94498 #>  [50422]  99.95499  99.75470 100.09495  99.85990 100.14989  99.56405 100.29955 #>  [50429] 100.06498  99.91496 100.03499  99.84488 100.02500 100.04499 100.01500 #>  [50436] 100.57833  99.75971 100.05498  99.92998 100.20978 100.42410  99.69955 #>  [50443] 100.19481  99.88493 100.31949 100.28958 100.12992 100.08496  99.61426 #>  [50450] 100.23971  99.56907  99.71961 100.05998 100.01500 100.44401 100.09495 #>  [50457] 100.39422  99.93498 100.17485  99.93998 100.13491 100.48881  99.93998 #>  [50464]  99.44848 100.09995 100.02000  99.58414 100.29457 100.64790 100.13491 #>  [50471] 100.35437  99.80982  99.95499 100.07497 100.68764 100.29955 100.00500 #>  [50478] 100.14490 100.50871 100.32447 100.29955 100.09495 100.10494 100.08996 #>  [50485] 100.22475 100.05998 100.28958 100.24969  99.73465  99.94498  99.63433 #>  [50492]  99.73465 100.14989 100.09495 100.20978  99.74467  99.92998  99.72462 #>  [50499]  99.66444  99.52889  99.72963 100.00500 100.30952  99.80982  99.91496 #>  [50506] 100.09495  99.68952  99.36297  99.91496  99.87993  99.60924  99.84488 #>  [50513]  99.86992  99.82986 100.42410 100.16486 100.40418 100.36434 100.16986 #>  [50520]  99.91997 100.26964  99.32774  99.68450  99.93998  99.90495  99.89995 #>  [50527]  99.80982 100.32946 100.40418  99.60924 100.10494  99.51884  99.54396 #>  [50534]  99.47361  99.81483  99.72462  99.73966  99.41328  99.66444  99.91496 #>  [50541]  99.74467  99.37807  99.98500  99.84488  99.83486  99.97000  99.87993 #>  [50548] 100.07997 100.31949 100.12492  99.53391 100.11493  99.71961  99.98500 #>  [50555]  99.87993  99.98000  99.86992  99.94999 100.11993 100.32946  99.77976 #>  [50562]  99.90495  99.37807  99.59418  99.68450  99.64939 100.39422  99.63433 #>  [50569] 100.16486  99.53391  99.56907 100.16486  99.78978 100.43904  99.87993 #>  [50576] 100.16986 100.46392 100.06498 100.58330 100.07497 100.02500 100.13491 #>  [50583] 100.05498  99.49874  99.82485  99.80982 100.16986 100.48383 100.16486 #>  [50590] 100.06498  99.93498  99.63433  99.87993 100.42410 100.11493 100.77202 #>  [50597]  99.64939 100.18982  99.89995 100.42908 100.18483 100.29457  99.82986 #>  [50604]  99.52889 100.19481  99.91997 100.32447  99.47864  99.90996 100.08996 #>  [50611] 100.15987 100.27462  99.72462 100.07497 100.64293 100.33942  99.60924 #>  [50618] 100.10494 100.43904  99.88493 100.28460 100.23971 100.57833  99.56405 #>  [50625] 100.15488 100.43406 100.10994  99.53894  99.74467  99.72963  99.68952 #>  [50632] 100.19481  99.53894 100.03000  99.92998 100.24969  99.78978 100.41414 #>  [50639] 100.41912  99.64939  99.73966  99.70456  99.76973 100.44401  99.90495 #>  [50646] 100.23472  99.82986 100.40418  99.84488  99.93998 100.04999 100.13990 #>  [50653]  99.76472  99.49874 100.22974  99.90996  99.73465 100.30454 100.22974 #>  [50660]  99.78477 100.23472  99.80481  99.89995  99.45853  99.50377  99.96499 #>  [50667]  99.59418 100.20479 100.17485 100.19980 100.19980 100.21477 100.03000 #>  [50674] 100.37430  99.64939 100.36932  99.74969  99.58414 100.24969 100.20978 #>  [50681] 100.27462 100.22974  99.89494 100.02000  99.78477  99.92998  99.64939 #>  [50688]  99.76973 100.05498 100.17485  99.82485 100.45895 100.20479  99.89995 #>  [50695] 100.86625  99.66444 100.32447 100.03000  99.95499 100.24969 100.13990 #>  [50702]  99.58414  99.65440  99.96499 100.03999 100.59324  99.54898 100.02500 #>  [50709]  99.76472  99.87993 100.45895  99.95999  99.55903  99.40322  99.61928 #>  [50716] 100.02500 100.07997  99.94999 100.58330  99.88994 100.41912 100.50871 #>  [50723] 100.38924 100.09495  99.72963 100.20479 100.03999 100.04499 100.07997 #>  [50730] 100.17984 100.10494  99.45351  99.97000  99.79479  99.72963  99.72462 #>  [50737] 100.35437 100.31451 100.22974  99.97500 100.09495 100.22475  99.96499 #>  [50744] 100.65287  99.71459 100.03000  99.56405 100.49378  99.99000  99.36800 #>  [50751] 100.15488 100.29955 100.15987  99.91997  99.50377  99.81483  99.84488 #>  [50758] 100.63797  99.90495  99.45351  99.62429 100.32946  99.75470 100.03000 #>  [50765] 100.17984  99.86992  99.57409  99.91496 100.03000  99.51884  99.78978 #>  [50772]  99.76973  99.78477  99.69453  99.90996 100.83650  99.59920  99.77976 #>  [50779] 100.26964  99.53391 100.18483 100.02500 100.11993 100.33444  99.82986 #>  [50786] 100.12492  99.97000  99.87993  99.72963  99.68450  99.87993 100.27961 #>  [50793] 100.13990 100.15488 100.24969 100.46890  99.99500  99.72462 100.37928 #>  [50800] 100.54352 100.00500  99.78978 100.13491 100.33444 100.12992  99.62429 #>  [50807]  99.44345 100.01500 100.05498  99.58916 100.22475 100.52860  99.88994 #>  [50814] 100.31451 100.18982  99.76472  99.49874  99.94498  99.94999 100.51865 #>  [50821]  99.47361 100.47388  99.99500 100.45397  99.48869 100.45397 100.29955 #>  [50828]  99.87492  99.90495  99.98500 100.06498  99.78477  99.57409  99.79479 #>  [50835] 100.09995 100.09495  99.90996 100.05998  99.76472  99.98000 100.03499 #>  [50842]  99.79980  99.70456 100.47885  99.34284 100.19481 100.01500 100.04999 #>  [50849]  99.22197  99.98500  99.84488  99.69955 100.02000 100.12492  99.99000 #>  [50856]  99.81984  99.73465 100.09995  99.76973 100.10994 100.03000 100.29457 #>  [50863]  99.96499 100.16986 100.26964 100.32946 100.03999  99.85990 100.33942 #>  [50870] 100.27961 100.28958 100.23971  99.91496 100.22974  99.64939  99.99000 #>  [50877] 100.16986 100.15987  99.54898  99.94999 100.36932 100.01500  99.51382 #>  [50884]  99.89494 100.47885 100.33444 100.50871 100.04999 100.28958  99.79479 #>  [50891]  99.89494 100.22974 100.01000 100.01500 100.67274 100.12492 100.23971 #>  [50898]  99.62931  99.87492  99.97500  99.91997  99.40825  99.73465 100.50871 #>  [50905]  99.64939  99.39819 100.28958 100.16986  99.67949 100.22974  99.63935 #>  [50912]  99.65942  99.91496 100.32447 100.72735  99.66444 100.04499  99.83987 #>  [50919] 100.41414 100.19481 100.42908 100.15488  99.87492 100.19980  99.94498 #>  [50926]  99.78477 100.20479 100.34441 100.58330 100.19481 100.15987 100.43904 #>  [50933] 100.00000 100.06498  99.89494 100.47388  99.87993 100.28460  99.46356 #>  [50940]  99.71459  99.81984 100.20479  99.24717 100.60815 100.08496 100.13990 #>  [50947]  99.53894  99.93998 100.08496 100.15488  99.83486 100.22475  99.89995 #>  [50954] 100.04499 100.45895 100.31451 100.29955 100.14989 100.09495  99.97500 #>  [50961] 100.20479  99.81984 100.08496 100.22974 100.32946  99.69453 100.60815 #>  [50968]  99.70456  99.71459 100.09495 100.03000  99.98000  99.59418 100.40916 #>  [50975] 100.15488 100.12492  99.79980 100.30952 100.11493 100.24969  99.67447 #>  [50982]  99.96499 100.09495 100.22974 100.10494 100.16486 100.00500 100.36434 #>  [50989] 100.68764  99.92497 100.37928  99.92998  99.78477  99.82485  99.81483 #>  [50996]  99.95999  99.84989 100.32447  99.82485 100.12492  99.91997 100.16986 #>  [51003]  99.75971  99.44848  99.73966  99.46859  99.79980  99.99500 100.18982 #>  [51010]  99.74969  99.77976  99.84488 100.32447 100.47388  99.68450  99.63433 #>  [51017] 100.41912  99.69955  99.93498  99.87993 100.03999  99.46859  99.97500 #>  [51024]  99.89995  99.58414 100.18483 100.31949 100.28958 100.35935  99.77475 #>  [51031]  99.55401  99.75971  99.83987 100.07497  99.84989  99.88493 100.07997 #>  [51038]  99.55903 100.12492  99.77976  99.82986  99.78978 100.06998  99.97500 #>  [51045] 100.26465  99.87492 100.04499  99.65440  99.67447  99.83987 100.14989 #>  [51052] 100.86129 100.04499  99.34787  99.42334  99.94498 100.72735 100.07997 #>  [51059] 100.00000  99.89494  99.86491  99.73966 100.24470 100.01500  99.81984 #>  [51066]  99.57409  99.71459 100.06498 100.09495  99.35794  99.80481  99.72963 #>  [51073]  99.60924  99.90996 100.50871  99.74467  99.93498 100.39920 100.05498 #>  [51080] 100.08496  99.35291 100.14989 100.03000 100.03499 100.40916 100.30454 #>  [51087]  99.73966 100.72239 100.50871 100.38924 100.15987  99.98500 100.39920 #>  [51094]  99.88493  99.92497  99.72963 100.28958 100.07497  99.85990 100.69757 #>  [51101] 100.02500 100.39422  99.73465  99.90996  99.28243  99.92998  99.99000 #>  [51108]  99.86491 100.06998 100.02000 100.53358 100.10994  99.72963  99.80982 #>  [51115]  99.67447  99.79479  99.92998  99.72963  99.97500  99.94498  99.74467 #>  [51122] 100.11993  99.99500 100.37928 100.10494 100.10494  99.74467 100.00500 #>  [51129]  99.52889  99.97500  99.76472 100.16486 100.08496 100.05998  99.84488 #>  [51136] 100.07997 100.44899 100.02500 100.44401 100.11493 100.22974  99.85489 #>  [51143]  99.84989 100.20479 100.19980 100.35437  99.76973  99.69955 100.11493 #>  [51150] 100.25966 100.08496  99.96499  99.77475 100.39422 100.04499  99.37807 #>  [51157]  99.96499 100.61809 100.05998  99.90996  99.97000  99.80982 100.38924 #>  [51164] 100.35437 100.41414  99.94498 100.12992 100.15987 100.41414 100.06998 #>  [51171] 100.09995  99.77475 100.63797  99.55401 100.40916  99.54898 100.18483 #>  [51178] 100.18982 100.10994  99.77976 100.01000 100.44899 100.43904 100.30952 #>  [51185] 100.49378  99.44345  99.67949  99.89494 100.08996 100.32946 100.50373 #>  [51192]  99.97500  99.91496 100.25468  99.71459  99.84989  99.80481 100.51865 #>  [51199] 100.27462  99.98500  99.78477 100.56838  99.47864 100.06998 100.11993 #>  [51206] 100.02500  99.71961  99.58414 100.37430 100.35935 100.48881 100.57833 #>  [51213]  99.83486 100.08496 100.26465  99.72462 100.35437  99.94498 100.18982 #>  [51220]  99.96499 100.08496 100.00000 100.22974 100.54850 100.43904  99.98000 #>  [51227] 100.61809  99.53391 100.32447 100.10994 100.20978  99.58414 100.11993 #>  [51234]  99.39316 100.07497  99.62931  99.92998  99.68952  99.69955  99.47361 #>  [51241]  99.75971 100.20978  99.89995  99.85990 100.26964  99.74467  99.92998 #>  [51248]  99.98500 100.09995  99.89995  99.58414 100.22475 100.39422  99.63935 #>  [51255] 100.17485 100.17485  99.90996  99.75470  99.70456  99.88994  99.87993 #>  [51262]  99.78477  99.82485  99.56907  99.66444  99.88493  99.83987 100.23971 #>  [51269]  99.66945  99.75971 100.00000 100.11993  99.41328  99.75470 100.59821 #>  [51276] 100.22475 100.06998 100.00000  99.61928  99.60924  99.99000 100.38426 #>  [51283] 100.40916 100.03000  99.35794  99.86992 100.06498 100.01000  99.79980 #>  [51290]  99.70456  99.67447  99.79980  99.91997  99.44345 100.04499 100.27462 #>  [51297]  99.50377 100.01000  99.62931 100.10994 100.16986  99.82485  99.79479 #>  [51304] 100.26465  99.99000 100.21976  99.42334  99.73465  99.59920  99.63433 #>  [51311] 100.08996  99.64939 100.23472 100.03000  99.88994  99.96499  99.55401 #>  [51318] 100.12992  99.80982  99.59920  99.88994 100.38924 100.10494  99.94999 #>  [51325] 100.46392 100.20479 100.81667 100.22974  99.87993  99.36297 100.27961 #>  [51332] 100.19980 100.08496  99.97000  99.83486 100.01500 100.44899 100.14989 #>  [51339]  99.79479  99.68450 100.00000 100.29457  99.99500  99.94498 100.08996 #>  [51346] 100.04499  99.95499 100.01000 100.70253 100.07997 100.08496 100.43904 #>  [51353] 100.10994 100.20978 100.55844 100.23472 100.37430 100.19980  99.90495 #>  [51360] 100.03999 100.43406 100.45397  99.72963 100.32447 100.00500  99.98500 #>  [51367]  99.75470 100.27462 100.33942 100.10494  99.65440 100.13491  99.85489 #>  [51374] 100.45397 100.14989  99.30760  99.92998 100.52363 100.03999  99.82485 #>  [51381] 100.40418  99.65440 100.03999  99.76472 100.38426  99.75971  99.67949 #>  [51388]  99.85990 100.19481  99.67447  99.97500 100.02000 100.09495 100.05998 #>  [51395]  99.97500  99.79980 100.56341 100.40916  99.97500  99.94999  99.97000 #>  [51402] 100.60318  99.63935  99.84488  99.91496  99.64437  99.91496 100.57833 #>  [51409]  99.82986  99.97500  99.78477 100.29457 100.01500 100.09495  99.51382 #>  [51416] 100.21477  99.91997  99.85489 100.21477 100.13491  99.77976  99.62931 #>  [51423]  99.83486  99.54898 100.02500  99.94999  99.93998 100.07497 100.11493 #>  [51430] 100.30454  99.62931  99.81483 100.32447 100.01500 100.07997  99.88493 #>  [51437] 100.09995  99.92998  99.64437 100.16486 100.82162  99.98000  99.76472 #>  [51444] 100.10994  99.16148  99.47864 100.17984 100.30952 100.28460 100.27462 #>  [51451] 100.09995 100.04499  99.57911  99.47361  99.78477 100.02000 100.58827 #>  [51458]  99.62931  99.75971 100.14989  99.99000 100.16486  99.50377  99.67949 #>  [51465] 100.11993  99.95999 100.69757 100.03999  99.81483 100.05998 100.21477 #>  [51472]  99.81984 100.20978  99.40322  99.69955  99.56405 100.42410  99.98500 #>  [51479] 100.16986 100.01000 100.09995  99.74969  99.75470  99.95999  99.73966 #>  [51486]  99.92998  99.82485  99.32774 100.34441  99.73465  99.65440  99.89995 #>  [51493]  99.97500  99.42837 100.18483  99.71459 100.14490  99.82986 100.70750 #>  [51500]  99.10096  99.41831 100.29457  99.84488  99.94999  99.90495 100.06498 #>  [51507] 100.31949  99.95499 100.06498  99.68450 100.07997 100.20479  99.76973 #>  [51514] 100.30454  99.54396  99.53894 100.25966  99.95999  99.94999  99.51382 #>  [51521]  99.88994 100.09995  99.87993  99.92497 100.20479  99.78477  99.95499 #>  [51528]  99.86992  99.52387 100.21477 100.08496  99.99000  99.38310 100.03999 #>  [51535] 100.01000 100.07997 100.17485 100.39920  99.69453  99.91997 100.33942 #>  [51542] 100.64790  99.73966  99.73966  99.64437 100.01500  99.84989 100.30454 #>  [51549]  99.77475 100.07997 100.07997 100.22475  99.45853 100.31949 100.30952 #>  [51556] 100.05998 100.47885 100.54850  99.68952  99.71459  99.99000  99.61928 #>  [51563] 100.06998  99.92497 100.25966 100.45895  99.63935 100.15987 100.29955 #>  [51570]  99.74969  99.69453  99.49372 100.38924  99.41328 100.16486 100.33444 #>  [51577]  99.90996 100.29955 100.11993 100.30454 100.24470  99.77976  99.65440 #>  [51584] 100.12992 100.40916  99.50377  99.65942  99.56907  99.61928 100.29457 #>  [51591]  99.60924 100.17984  99.68952 100.08496 100.16986  99.90996 100.55347 #>  [51598] 100.22475 100.39920 100.03000 100.23971  99.99500  99.84488  99.74969 #>  [51605]  99.61426 100.03000  99.64939  99.83987  99.84989 100.06498  99.74467 #>  [51612]  99.98000  99.92998  99.86491  99.63935  99.61426 100.48383 100.09495 #>  [51619]  99.65942  99.99000  99.89494 100.03999  99.65440 100.10494 100.13491 #>  [51626]  99.42334  99.96499  99.83486  99.94498  99.95499 100.14989  99.85489 #>  [51633] 100.22475  99.92998 100.06498 100.22974 100.13491 100.23971  99.80481 #>  [51640]  99.34787 100.00500  99.55903 100.24969  99.79479 100.42908  99.96499 #>  [51647] 100.19481  99.88493  99.58916  99.67447 100.38924 100.18483  99.67949 #>  [51654] 100.12992 100.21976 100.01000  99.86491 100.39422 100.33942  99.84488 #>  [51661] 100.22475 100.22475 100.19980 100.52860 100.29955  99.73465  99.98000 #>  [51668]  99.87993 100.19481 100.02000 100.28460  99.67949 100.29955 100.11993 #>  [51675]  99.64939  99.79479 100.34441 100.44899 100.13990  99.61426  99.73966 #>  [51682]  99.45351  99.92998  99.80481  99.96499 100.30454  99.68450  99.73966 #>  [51689] 100.20978 100.47388  99.77475 100.20479 100.03999  99.66444  99.63433 #>  [51696]  99.88994 100.15488  99.94999  99.91997  99.96499  99.70456 100.29457 #>  [51703] 100.09995 100.22475  99.86491  99.72963  99.93998 100.11493  99.72963 #>  [51710]  99.82485  99.67949  99.48869 100.27961  99.84989 100.06998  99.83987 #>  [51717] 100.09495 100.59324  99.38813  99.91997 100.38924  99.78978  99.84488 #>  [51724] 100.02000  99.52387  99.98500 100.47885  99.35794 100.27961  99.79980 #>  [51731]  99.89494  99.70456 100.27961 100.16986 100.48881  99.32774 100.04999 #>  [51738]  99.82485  99.58414  99.98000 100.35935 100.18483  99.91496  99.90996 #>  [51745] 100.19980 100.39920 100.19481  99.74467 100.35437  99.52387 100.20978 #>  [51752]  99.89494  99.80982 100.14490  99.66444  99.85489  99.60422 100.13491 #>  [51759]  99.87492  99.98500 100.22475 100.15987  99.77475  99.83486 100.52363 #>  [51766]  99.47864 100.29955  99.55401 100.20479 100.23472 100.12492  99.94498 #>  [51773]  99.82986 100.23472 100.19481  99.84488  99.98500 100.06498  99.59920 #>  [51780] 100.35437  99.83486  99.98000 100.01000  99.75470 100.35437  99.84488 #>  [51787]  99.85489  99.65440 100.20479 100.02000 100.22475 100.02500  99.74467 #>  [51794]  99.80982  99.91997  99.95999  99.75971 100.32946 100.08996  99.88994 #>  [51801] 100.31451 100.79683 100.16486 100.20479 100.60318  99.68450 100.47885 #>  [51808]  99.78477 100.22974  99.40322  99.86491  99.73966  99.78978 100.36932 #>  [51815]  99.99500 100.17485  99.64939 100.22475  99.86992 100.56838 100.42410 #>  [51822] 100.30454  99.98500 100.19980  99.90495  99.95999  99.85489  99.81483 #>  [51829]  99.51382 100.28958  99.84989  99.72462  99.99000  99.85990 100.08996 #>  [51836]  99.89494  99.83987 100.74721  99.65440  99.23205 100.33942 100.29457 #>  [51843] 100.01500  99.80982  99.94999  99.69453 100.11493 100.08496  99.87993 #>  [51850]  99.95499  99.76973  99.98500  99.56907  99.97000 100.01000 100.11993 #>  [51857] 100.17485  99.55903  99.95999  99.24213  99.62931  99.80982 100.30952 #>  [51864] 100.39422 100.07497  99.68952 100.26964 100.24969  99.51884 100.11493 #>  [51871] 100.03999 100.35935 100.22974 100.11993 100.05998  99.71961 100.03000 #>  [51878] 100.07497 100.13990  99.99000  99.93998 100.07497  99.61426  99.74969 #>  [51885]  99.83987 100.53358  99.91997  99.86491  99.90996  99.74969 100.28460 #>  [51892]  99.82485 100.02000  99.94999 100.15488 100.30454 100.68764  99.67447 #>  [51899] 100.77202  99.97000  99.93498  99.64437  99.46356 100.45397  99.74969 #>  [51906] 100.33444  99.87993  99.58414 100.08996 100.16486 100.70253 100.19481 #>  [51913]  99.94498  99.84989 100.32946 100.08496 100.03499  99.87993  99.82485 #>  [51920] 100.23971  99.79479 100.26465  99.41831 100.28958 100.09995 100.04999 #>  [51927] 100.38426  99.84989  99.93498  99.92998  99.89995  99.98500 100.20479 #>  [51934] 100.31451 100.00000  99.67949 100.15987 100.12992  99.90996 100.22475 #>  [51941] 100.42908  99.49372  99.94999 100.15987  99.82986 100.35437 100.05998 #>  [51948]  99.81984  99.70958 100.00500  99.28746 100.76706 100.13990  99.76973 #>  [51955] 100.39422 100.34939 100.10994 100.10494 100.21976 100.27462 100.30952 #>  [51962]  99.55401  99.82485 100.43406 100.34939  99.83486  99.71459  99.97500 #>  [51969]  99.82986  99.68952 100.02000 100.04999 100.25966 100.06498 100.76706 #>  [51976]  99.63433  99.82485 100.13491 100.09495  99.47361  99.95499 100.30454 #>  [51983] 100.47885 100.23472 100.37928  99.83987 100.40418 100.00000  99.97000 #>  [51990]  99.77475  99.91496  99.69955 100.04499  99.54898  99.55401 100.35437 #>  [51997]  99.40825 100.03499  99.98500  99.93498  99.68450 100.50373  99.47864 #>  [52004] 100.44401  99.93998 100.17984 100.35935 100.28958 100.15987 100.13491 #>  [52011]  99.47864 100.03999  99.72462  99.57911 100.07997 100.03999 100.14989 #>  [52018]  99.69955 100.15987 100.15488 100.04999 100.10494 100.06498  99.99000 #>  [52025]  99.63433  99.69453  99.98500  99.86491 100.25966  99.87993 100.01000 #>  [52032]  99.89494 100.15488  99.89995 100.11493 100.06998  99.81984 100.05498 #>  [52039] 100.24969  99.72963 100.23971 100.00000 100.25966 100.29457  99.98500 #>  [52046] 100.42410  99.70958 100.23971  99.84989 100.10994  99.87492  99.57409 #>  [52053]  99.61426  99.77976  99.58916  99.95999 100.65287 100.36434 100.01000 #>  [52060] 100.25966 100.41414 100.05498  99.28243 100.20479  99.90996 100.05498 #>  [52067] 100.28958  99.78978  99.81984 100.35935  99.56405 100.02000 100.19481 #>  [52074]  99.84488  99.83486  99.89494 100.61809  99.88493 100.10494 100.47885 #>  [52081]  99.90996  99.64437 100.38426  99.83987  99.98000 100.34441 100.10494 #>  [52088]  99.82986  99.67447 100.14989  99.97500 100.09995 100.01000 100.23971 #>  [52095] 100.64293  99.87993  99.78477  99.59418  99.99000  99.71459 100.13491 #>  [52102] 100.11993  99.90495  99.78477  99.73966  99.99000 100.11493  99.81984 #>  [52109] 100.10494 100.00000  99.88493  99.72462  99.81984 100.00000 100.03999 #>  [52116] 100.24969 100.37430 100.02500 100.00000 100.59821  99.37303 100.29457 #>  [52123] 100.22475  99.62931  99.81984 100.47388  99.81984  99.81483  99.74467 #>  [52130]  99.93498 100.14989 100.28958 100.15987 100.28460 100.26465  99.74467 #>  [52137]  99.59418 100.21976 100.12492 100.02000 100.30454 100.02000 100.45397 #>  [52144] 100.28958 100.14490  99.48367 100.30952 100.11493 100.48383  99.64939 #>  [52151]  99.91997  99.64437  99.95499 100.50871 100.07997 100.15488  99.99000 #>  [52158] 100.04499 100.09495  99.70958  99.76472  99.71961  99.67949 100.38426 #>  [52165] 100.10494  99.67447 100.11493  99.93498 100.00500 100.46392 100.26964 #>  [52172]  99.95999  99.77976 100.16986 100.09995 100.52860 100.35437 100.04999 #>  [52179]  99.78477  99.68450 100.43406 100.19481  99.91997 100.23971  99.98500 #>  [52186] 100.35935  99.97000  99.78477  99.78978 100.00500 100.23971 100.28958 #>  [52193] 100.03000  99.85489 100.04499  99.71459  99.85489 100.38924  99.76472 #>  [52200]  99.80982 100.00500 100.37430  99.62429 100.53855 100.12992  99.65942 #>  [52207] 100.13491 100.14490 100.24969  99.98000 100.01500 100.20479 100.09495 #>  [52214] 100.33444 100.41912  99.83486  99.50879 100.56341 100.31949 100.00500 #>  [52221] 100.31949  99.87993  99.54396  99.83987 100.02500 100.15488  99.55903 #>  [52228] 100.08996 100.56341  99.83987 100.24969  99.66945  99.68952 100.15987 #>  [52235] 100.39920 100.06498  99.94999  99.46356 100.05998  99.59418 100.16986 #>  [52242]  99.72462 100.41912  99.47864  99.99000  99.74467  99.86491  99.99500 #>  [52249] 100.19980 100.10994  99.67949  99.80481 100.33444 100.05498 100.06998 #>  [52256] 100.06498 100.33444 100.30454  99.82485  99.91997  99.88493  99.78978 #>  [52263] 100.24969  99.77976  99.62429 100.15987  99.63935  99.97500  99.97500 #>  [52270] 100.47388 100.04999 100.48383  99.89494 100.17984 100.37430 100.08496 #>  [52277] 100.10994 100.22974 100.05498 100.22974  99.68952  99.93498  99.69955 #>  [52284]  99.99000  99.50377 100.17485  99.71459  99.90495  99.71459 100.25468 #>  [52291]  99.68952 100.15488 100.11493  99.77976 100.21976 100.18483 100.13990 #>  [52298] 100.27462 100.17485  99.85489  99.78477 100.12492 100.02500 100.25468 #>  [52305] 100.40418  99.96499  99.84989  99.75470  99.90495  99.95499  99.97000 #>  [52312]  99.80982  99.59920 100.30952  99.80481 100.32447  99.95999 100.54352 #>  [52319] 100.44899  99.95499  99.99000 100.52363  99.89494  99.85990 100.19980 #>  [52326] 100.32447  99.67949  99.70456 100.15488 100.06498 100.37928 100.53855 #>  [52333]  99.53894 100.03000  99.90996  99.58414 100.72239 100.03000 100.38426 #>  [52340]  99.72963 100.14989  99.94498  99.69453  99.74969 100.30454  99.66945 #>  [52347]  99.74467 100.13990  99.69955 100.03000 100.63300 100.07497 100.05998 #>  [52354] 100.15488  99.44345  99.59920 100.36434 100.64790 100.53358  99.35794 #>  [52361]  99.97000 100.13491  99.71961 100.23472  99.91496 100.11993  99.69453 #>  [52368] 100.35437  99.93998 100.58827 100.09995 100.33444 100.04499  99.84488 #>  [52375]  99.88994 100.22475 100.38924  99.47864 100.30454 100.13491 100.54352 #>  [52382]  99.69453  99.80481 100.42908  99.77976 100.01500 100.42410 100.61809 #>  [52389]  99.82485  99.37807  99.90495  99.76472 100.21976 100.12992 100.10994 #>  [52396]  99.87993 100.01500  99.46859 100.25966  99.28243 100.25966 100.41414 #>  [52403] 100.52860 100.26465  99.98500  99.88493 100.27961 100.27462  99.92998 #>  [52410] 100.13990 100.12492 100.21976  99.61426  99.96499  99.61426 100.01000 #>  [52417]  99.65440  99.97500  99.90495  99.87492  99.53391 100.08496  99.59920 #>  [52424] 100.10494 100.02500  99.47864  99.87993  99.83987 100.01000  99.42334 #>  [52431]  99.78477  99.65440  99.64939 100.16486  99.66945 100.63797 100.46890 #>  [52438]  99.86992  99.84488 100.16986  99.56907  99.79980 100.39920 100.15488 #>  [52445] 100.06498  99.48367 100.15488  99.95999 100.06998 100.22974 100.07997 #>  [52452]  99.77475  99.75470 100.02500  99.67447 100.10994  99.85990 100.18483 #>  [52459] 100.06498  99.76973 100.28460 100.17984  99.95499 100.06498  99.72963 #>  [52466] 100.57336 100.13990  99.82986 100.25468  99.73966 100.18483  99.96499 #>  [52473]  99.49372  99.70456  99.85990 100.42410 100.06498 100.10494  99.81984 #>  [52480]  99.94498  99.56405 100.42410 100.07997 100.24969 100.22974  99.77976 #>  [52487] 100.00000 100.03499  99.85489  99.89494  99.57911  99.88994 100.39920 #>  [52494]  99.70456  99.44345 100.56838  99.85489 100.14490 100.22475 100.23472 #>  [52501]  99.74969 100.17984 100.07997  99.75470 100.23971  99.81483  99.91496 #>  [52508] 100.05998  99.72462  99.62429  99.73465 100.90094 100.20479 100.08996 #>  [52515]  99.51884  99.94999 100.63797  99.75971  99.75971 100.05498  99.64939 #>  [52522] 100.02000  99.64939 100.10494  99.84488  99.90495  99.89995 100.40418 #>  [52529]  99.48367  99.83987  99.98500 100.74225 100.05498 100.27961  99.70456 #>  [52536]  99.83987 100.32447 100.20978  99.92998  99.57911  99.95999 100.00500 #>  [52543] 100.08996  99.75470 100.32447  99.69453  99.83987 100.01000  99.76973 #>  [52550] 100.28460  99.68952  99.91997  99.78477 100.25966  99.74467  99.80481 #>  [52557] 100.49378  99.84989 100.21976  99.90996  99.65440 100.45895  99.87492 #>  [52564]  99.82485 100.18982 100.47885 100.01500  99.92998 100.51865 100.06498 #>  [52571] 100.06998  99.72462  99.78978 100.25468  99.95999  99.94999 100.39920 #>  [52578]  99.84488 100.46890 100.32946 100.11493 100.02500  99.32271 100.23971 #>  [52585]  99.96499 100.47388 100.15987  99.53391  99.88493 100.12992 100.21976 #>  [52592] 100.08496 100.03499  99.95999  99.75470  99.33277 100.30952 100.04499 #>  [52599]  99.81984  99.55401 100.05498 100.22475 100.46392  99.97000  99.82986 #>  [52606]  99.58414 100.17485 100.34441  99.55401  99.77475  99.86491 100.15488 #>  [52613] 100.19481 100.10994 100.27961 100.10994 100.13491  99.69453 100.05998 #>  [52620] 100.06498 100.19980 100.13491 100.30454 100.56341 100.12992  99.63433 #>  [52627] 100.07497  99.63433  99.78477  99.91997 100.15987  99.94498  99.89995 #>  [52634]  99.72462  99.61426  99.80481 100.14989 100.13990  99.72462 100.03499 #>  [52641]  99.97500  99.51884 100.20479  99.86491 100.42410  99.76973 100.00000 #>  [52648] 100.57336 100.03999  99.84488 100.52363 100.30454  99.78477 100.17984 #>  [52655] 100.00500  99.96499 100.17485 100.11993 100.37928 100.13491 100.49876 #>  [52662] 100.10994 100.23472 100.16486  99.68952 100.22475 100.33444  99.68450 #>  [52669]  99.29753  99.68450 100.24470  99.95499 100.01000  99.92998  99.65942 #>  [52676]  99.77976 100.30952 100.03499 100.43406 100.08496  99.77475  99.87993 #>  [52683]  99.66945  99.80481  99.89995 100.65784  99.83987 100.44401 100.13990 #>  [52690] 100.02500 100.11493  99.66945  99.89494 100.67770 100.13990  99.92998 #>  [52697] 100.01000  99.42837  99.89494 100.71743 100.15488  99.51382  99.76973 #>  [52704]  99.85489  99.88994  99.94498  99.91997 100.27462 100.21477 100.41414 #>  [52711] 100.29955  99.55401 100.11993  99.78978 100.01500  99.69453 100.19980 #>  [52718]  99.71961 100.05498  99.73465  99.94498 100.01500 100.08996  99.90996 #>  [52725]  99.52387 100.24969 100.22475 100.08496 100.00500 100.03000 100.11493 #>  [52732]  99.29753  99.66945  99.68450  99.73966  99.97500  99.95499 100.34939 #>  [52739]  99.88493 100.50373 100.14989 100.10494  99.96499  99.82485 100.39920 #>  [52746]  99.70958  99.70958 100.14989 100.34441 100.22974 100.00000  99.91496 #>  [52753]  99.69955 100.06998 100.44899 100.30454 100.08496 100.20978 100.19481 #>  [52760]  99.63935 100.04999 100.24969  99.85489  99.74467 100.30952  99.49874 #>  [52767]  99.64437  99.56405  99.89494  99.78978  99.73465  99.80982 100.16986 #>  [52774] 100.27961 100.48881 100.06498 100.67770 100.12492 100.50871 100.16986 #>  [52781] 100.24470  99.82986  99.92497  99.91496  99.64939  99.71459 100.29955 #>  [52788]  99.89494 100.39920 100.02500  99.80481  99.50879  99.50879 100.19980 #>  [52795]  99.89494 100.27961  99.81483  99.97000 100.26964 100.08996 100.58827 #>  [52802]  99.83987 100.24969  99.62429 100.42908 100.02500 100.12992 100.01000 #>  [52809] 100.23472  99.74969  99.92497  99.94999  99.99500 100.08996 100.51368 #>  [52816] 100.08496  99.92497  99.59920 100.27462  99.46356 100.10994  99.88994 #>  [52823] 100.12992 100.18982  99.24717  99.54898 100.55844  99.76472 100.00500 #>  [52830] 100.13491  99.91997 100.10494  99.85990 100.15488 100.30952 100.06498 #>  [52837] 100.14989  99.64437 100.36434  99.99000 100.33942  99.66444 100.46890 #>  [52844]  99.74467  99.92497  99.89494 100.13990  99.60924  99.99000 100.40418 #>  [52851]  99.79479 100.23472  99.92497 100.19980  99.77475 100.07997  99.59418 #>  [52858] 100.13990  99.73966  99.61426  99.82986 100.28958  99.64437 100.06498 #>  [52865] 100.20978  99.83486 100.41414  99.93498  99.82986  99.80982 100.48383 #>  [52872]  99.92998  99.74467 100.58330 100.60318 100.40418 100.49876  99.46356 #>  [52879] 100.55347 100.07497 100.10494 100.18982  99.97500  99.72462  99.80481 #>  [52886]  99.81984 100.00000  99.68450 100.22475 100.12492  99.62931  99.72462 #>  [52893] 100.02500  99.69955  99.46356  99.94498 100.29457 100.00500  99.65942 #>  [52900] 100.15488 100.39920  99.51884 100.16486  99.83486 100.38426 100.03999 #>  [52907]  99.94999 100.37928 100.07497 100.16486  99.98000 100.21477 100.14490 #>  [52914] 100.62306 100.44401  99.67447  99.61426  99.70456  99.90495  99.79479 #>  [52921] 100.04499 100.25966  99.46859 100.05998  99.51382  99.79980  99.73465 #>  [52928] 100.13990  99.85990  99.98000  99.91997  99.72462 100.37928  99.83987 #>  [52935]  99.89494 100.36434  99.68952  99.94999  99.79980 100.12492 100.04499 #>  [52942] 100.06498 100.05498 100.07997  99.95999  99.99000  99.99000  99.79980 #>  [52949] 100.10994 100.71246  99.93498 100.31451  99.91496 100.73728  99.77475 #>  [52956] 100.16986  99.44848 100.33942  99.78978 100.18483  99.89995 100.17485 #>  [52963] 100.00500 100.39422  99.66444  99.83987 100.03999 100.01500  99.84989 #>  [52970]  99.60924 100.34939  99.90996 100.42410 100.09995 100.28958 100.02500 #>  [52977] 100.21477 100.49876 100.48881  99.83486  99.69453 100.16986  99.97500 #>  [52984] 100.18982  99.82485  99.88493 100.03000 100.20978 100.00000 100.09995 #>  [52991] 100.26465 100.42908 100.13491 100.25468  99.91997 100.29955 100.12992 #>  [52998]  99.97500  99.90996  99.54396  99.83486  99.71459  99.86491  99.92497 #>  [53005]  99.86491  99.40322  99.93498  99.62931  99.91496 100.29955 100.06498 #>  [53012]  99.99500 100.68764  99.74969  99.58414 100.26964  99.71459  99.75971 #>  [53019]  99.88994  99.55903  99.73966 100.02000  99.70958  99.67447 100.01000 #>  [53026]  99.80982 100.01000 100.01500 100.43406  99.61928 100.51368  99.36297 #>  [53033] 100.13491 100.66777 100.10994  99.99000 100.09495  99.92998 100.20479 #>  [53040] 100.45397 100.01000 100.17485 100.15488  99.82986 100.07497  99.86491 #>  [53047]  99.88493 100.20978 100.07497  99.50879  99.81984 100.23971  99.70456 #>  [53054] 100.14490  99.86992  99.86491  99.64437  99.89494  99.71459  99.85990 #>  [53061] 100.31451 100.13990 100.49876  99.67447  99.68450 100.02000 100.43406 #>  [53068]  99.94999  99.75971 100.20978 100.18483 100.08996  99.68450 100.11493 #>  [53075] 100.16486 100.42908  99.99000  99.91496 100.22475 100.28460 100.03000 #>  [53082]  99.87993 100.05998  99.91496  99.98000 100.61312  99.64437  99.36800 #>  [53089]  99.91496 100.30454  99.87492  99.47864 100.10994  99.83987  99.58916 #>  [53096]  99.67949 100.32946 100.07997  99.48367  99.43339  99.82485 100.19980 #>  [53103] 100.02000  99.65942  99.99500 100.09995 100.12992 100.02000  99.42837 #>  [53110]  99.68952  99.37807  99.99500 100.22475 100.24969 100.40916  99.85990 #>  [53117] 100.07497  99.72462  99.65942  99.70456 100.37928  99.53391 100.13491 #>  [53124]  99.60422 100.03000 100.41912  99.58916 100.18982 100.15987  99.81984 #>  [53131] 100.35935 100.13990  99.98500 100.17984  99.38310 100.25966  99.77976 #>  [53138]  99.56907  99.94498 100.34441 100.56838  99.88994 100.32946  99.69955 #>  [53145] 100.15488  99.61928  99.72963  99.91496 100.21976  99.69453 100.15987 #>  [53152] 100.15987  99.92497 100.04499  99.67949 100.05998  99.56405  99.97000 #>  [53159]  99.91997  99.88994  99.80982  99.44345  99.70958 100.24470 100.16486 #>  [53166]  99.63433 100.16986  99.78477 100.15987 100.53855 100.17485 100.08996 #>  [53173]  99.76973  99.86992 100.01500  99.85990 100.33444 100.35935  99.76472 #>  [53180]  99.82986  99.94498 100.43904  99.77976 100.57833 100.40418  99.56405 #>  [53187]  99.98500 100.25468 100.10494 100.12992 100.32447  99.69453  99.66444 #>  [53194]  99.90495 100.46392 100.24470  99.95999 100.57336 100.11493  99.71961 #>  [53201]  99.72462  99.65440  99.94498  99.62429  99.96499 100.24969 100.45397 #>  [53208]  99.93498 100.15987  99.72462  99.57911 100.15987  99.63433 100.43904 #>  [53215] 100.16986 100.29457 100.18982  99.93498 100.40916 100.00500  99.70456 #>  [53222] 100.21477  99.94999 100.18982 100.21477 100.34939 100.05998 100.36434 #>  [53229] 100.29955 100.28460 100.00500 100.09995  99.98500  99.77976 100.17485 #>  [53236]  99.60924 100.14490 100.13990 100.60318 100.14989 100.06498 100.15987 #>  [53243] 100.00000 100.23971 100.23971 100.10494  99.99500  99.95999 100.34441 #>  [53250] 100.07997  99.89494 100.26465  99.84488 100.07997  99.89995  99.82485 #>  [53257]  99.76973  99.47361  99.78978 100.30952  99.97000 100.25966  99.91997 #>  [53264]  99.48367 100.18483 100.16986  99.84488 100.55347  99.82485  99.79980 #>  [53271] 100.05998  99.48367 100.65784 100.18982 100.29457  99.80982 100.07997 #>  [53278]  99.70456  99.53894  99.80982 100.24470 100.02000 100.65784  99.79479 #>  [53285]  99.82986  99.90495  99.92998  99.97000 100.31949  99.68450 100.05998 #>  [53292] 100.06998 100.42410 100.38426  99.57409  99.84488  99.49874 100.17485 #>  [53299] 100.29955 100.49876 100.21976 100.39422  99.50377  99.87492  99.65440 #>  [53306] 100.02000 100.12992 100.15987 100.36932  99.69453 100.32946 100.13990 #>  [53313]  99.42837 100.25468  99.84488  99.35794 100.52363  99.78978 100.17984 #>  [53320]  99.78477  99.76973  99.74467 100.38426 100.17984 100.55347 100.08996 #>  [53327]  99.94999  99.81483 100.31949  99.60422 100.50871 100.05498 100.30454 #>  [53334] 100.21976 100.23472  99.49874 100.67274  99.75470  99.72462  99.70456 #>  [53341]  99.95999  99.72963 100.19980 100.15987  99.79479  99.84989 100.10994 #>  [53348]  99.86992  99.76973  99.86992 100.18982  99.58916  99.76973  99.48367 #>  [53355]  99.95499  99.49874 100.17485  99.67949 100.04499 100.43406  99.90996 #>  [53362] 100.41912  99.95499  99.70958  99.63433  99.71961 100.68764 100.09995 #>  [53369] 100.03000  99.81984 100.33942  99.86491 100.28958  99.90495  99.64437 #>  [53376] 100.03499 100.45397 100.22974 100.27961 100.41912  99.54396  99.71459 #>  [53383] 100.47388 100.23971  99.35291  99.80982  99.68450 100.65287  99.90996 #>  [53390]  99.74467  99.61928  99.64939 100.54352 100.10994 100.89103  99.97500 #>  [53397] 100.13491  99.69955  99.65942  99.76973  99.81984  99.93998  99.97500 #>  [53404] 100.19481 100.29955  99.72462  99.86491 100.49876  99.66945 100.39920 #>  [53411]  99.85990  99.75470 100.08496 100.12492  99.68450 100.42908 100.49378 #>  [53418] 100.00000 100.36932 100.29457 100.09495  99.78978 100.39920  99.59418 #>  [53425] 100.19481 100.12992  99.97000  99.96499  99.73966 100.19980  99.70958 #>  [53432] 100.09995  99.66444  99.73465  99.48869  99.82485  99.82986 100.09995 #>  [53439]  99.24717 100.22475 100.07497  99.93998 100.20479  99.94498 100.89599 #>  [53446] 100.32946 100.24470 100.20479  99.45351  99.95999  99.81483 100.18483 #>  [53453]  99.68952 100.04499 100.63797 100.17984  99.15140 100.16986  99.69955 #>  [53460]  99.82986  99.81984 100.36434  99.79479 100.19980  99.54396  99.68450 #>  [53467] 100.23472  99.52889 100.81171  99.96499 100.02000  99.49874  99.78978 #>  [53474]  99.77475  99.45853 100.21477 100.26964 100.53855 100.24969  99.89494 #>  [53481] 100.20479  99.99500  99.43842  99.88493 100.06498 100.14490  99.98000 #>  [53488] 100.01500 100.08496 100.20978 100.55347  99.77976 100.14490 100.31451 #>  [53495]  99.83486 100.17984 100.02000 100.18982 100.46890 100.46392 100.00000 #>  [53502] 100.15987  99.72462  99.99500 100.24969  99.70958  99.74467 100.15987 #>  [53509]  99.62931 100.03999 100.15987 100.29955 100.58827 100.15488  99.85990 #>  [53516] 100.13990 100.21976 100.08996  99.64939  99.49874 100.24470 100.18982 #>  [53523] 100.58330 100.13990 100.06498 100.02000 100.15488 100.27961  99.95999 #>  [53530]  99.73465  99.62931  99.91997  99.73966 100.22475 100.12992  99.85990 #>  [53537]  99.99000 100.42908 100.26465 100.20479 100.30952 100.43406 100.08496 #>  [53544] 100.11493  99.97500 100.18982 100.20978 100.17984  99.73966  99.89494 #>  [53551] 100.17984  99.86491 100.09495  99.83486  99.43842 100.40916  99.85489 #>  [53558] 100.13491 100.03499  99.90495  99.84989 100.50871 100.03000 100.24470 #>  [53565]  99.95999 100.18483  99.75470 100.08496 100.04999  99.71459  99.80481 #>  [53572] 100.44899 100.08996  99.64939 100.13491  99.92998 100.50373 100.00000 #>  [53579] 100.06498  99.53391 100.34939  99.49372 100.22974  99.51382  99.42334 #>  [53586] 100.34939 100.45895 100.06998  99.68450 100.09495  99.54396  99.81483 #>  [53593] 100.33942  99.95499  99.67447 100.20978 100.22974 100.14490 100.10994 #>  [53600]  99.66444 100.26465  99.47361  99.91997  99.86491 100.28958  99.72462 #>  [53607]  99.83987  99.68450  99.92497  99.85990  99.61928  99.91496  99.87993 #>  [53614] 100.02500 100.42410  99.76472  99.62931 100.26465 100.56341  99.52889 #>  [53621]  99.47361  99.77475  99.89995  99.61928  99.44848  99.93498  99.43842 #>  [53628]  99.83987  99.73465  99.76472  99.88994 100.51865  99.72963 100.06498 #>  [53635]  99.97000  99.28746 100.06498 100.33942 100.12492  99.98000 100.47885 #>  [53642]  99.81483 100.21477 100.18982  99.74467  99.74969 100.22974 100.13990 #>  [53649] 100.16986 100.14989  99.75971 100.05998  99.83987  99.77976 100.02000 #>  [53656]  99.89995 100.28460  99.62429  99.75971  99.66444 100.30952  99.56405 #>  [53663] 100.40916 100.35935  99.75470  99.43842 100.20479 100.46392 100.28460 #>  [53670] 100.10994  99.70958 100.35437 100.01500  99.82485 100.34939  99.94498 #>  [53677] 100.07997  99.80982 100.36932 100.24470  99.99500 100.18982  99.91997 #>  [53684]  99.99000 100.33444  99.97000 100.16486 100.29457 100.33942  99.92998 #>  [53691]  99.83987  99.83486  99.76973  99.85489 100.07997 100.29955  99.77976 #>  [53698] 100.53358 100.40418 100.25966  99.58916  99.77475  99.85990 100.09995 #>  [53705]  99.85990  99.77976 100.03999  99.79479  99.83486 100.35935 100.24470 #>  [53712] 100.00000 100.50373  99.77976 100.30952 100.31949 100.34939 100.09995 #>  [53719] 100.05998 100.45895  99.87492  99.58916  99.88493  99.70456  99.55903 #>  [53726]  99.88994  99.79479  99.58916 100.20479  99.95499  99.52889  99.84488 #>  [53733]  99.41831  99.76472  99.89494  99.92998 100.25966  99.39819 100.01500 #>  [53740]  99.74467 100.20479  99.74467 100.29457  99.95999  99.32271 100.27961 #>  [53747]  99.82485 100.42410  99.78477 100.35437  99.87993 100.33942 100.38924 #>  [53754] 100.32447  99.68952 100.51865 100.04999 100.30952 100.06498  99.97500 #>  [53761]  99.61928 100.32447 100.09995  99.73966  99.75971 100.09995  99.95999 #>  [53768] 100.09995  99.69955  99.75470  99.91496 100.52860  99.72963  99.87492 #>  [53775] 100.23472 100.24969 100.02000  99.87993 100.16986 100.17984  99.79479 #>  [53782] 100.02500 100.71246 100.04499  99.80982 100.12492 100.29955 100.36932 #>  [53789] 100.72239  99.56405 100.35935 100.06998  99.90495  99.84488 100.04499 #>  [53796] 100.10994 100.08996  99.95999  99.47361  99.81483 100.73728  99.97500 #>  [53803]  99.87993  99.98000  99.82986 100.05498 100.27462 100.09495 100.38426 #>  [53810]  99.75971 100.04999  99.92497 100.09495  99.78978 100.03999 100.40916 #>  [53817] 100.17984  99.86992  99.92998 100.09495  99.76472  99.91997 100.05498 #>  [53824]  99.85990  99.83987  99.86491 100.14490 100.03499 100.52363  99.65942 #>  [53831]  99.82485  99.76472  99.87492 100.32946 100.44401  99.97000 100.08496 #>  [53838]  99.92998 100.06498 100.27961 100.12992 100.17485  99.89995  99.75971 #>  [53845]  99.76472  99.69453  99.54898  99.97000 100.07997  99.64437  99.82485 #>  [53852]  99.87492 100.11993  99.84488  99.70456  99.99500 100.02500 100.02000 #>  [53859]  99.80982  99.54396  99.74467  99.94498  99.53391  99.92998 100.45895 #>  [53866]  99.95999  99.92998  99.87993 100.09995  99.60924 100.10994  99.82986 #>  [53873]  99.46356 100.55347 100.14989  99.58414 100.65287  99.65440 100.63300 #>  [53880] 100.19980  99.78978  99.64939 100.13491  99.93498  99.69453  99.94999 #>  [53887]  99.79980 100.66280  99.95999 100.11493  99.78978 100.08496  99.91997 #>  [53894] 100.57336  99.82986 100.33942  99.69955  99.98500 100.32447  99.93498 #>  [53901] 100.43406 100.30454  99.89995 100.24470 100.24470  99.79479  99.95999 #>  [53908] 100.08496 100.05998  99.59418  99.92998  99.79980 100.41414  99.62429 #>  [53915] 100.14989 100.51865  99.94498 100.34441  99.51884  99.89995  99.85990 #>  [53922]  99.82986  99.58916  99.63433  99.78978 100.41912  99.89494 100.29955 #>  [53929]  99.94498 100.14989 100.43406 100.26964 100.04999 100.15987 100.13491 #>  [53936] 100.24470 100.00500 100.58330 100.19980 100.12492 100.62306 100.00000 #>  [53943] 100.20479 100.19980 100.07997  99.97000  99.85990  99.87993 100.02000 #>  [53950] 100.04999 100.38924 100.10494 100.01500  99.90495  99.87993  99.90495 #>  [53957]  99.53391  99.64437 100.49876 100.34441  99.61426 100.33444 100.51865 #>  [53964]  99.80982  99.81984  99.93998  99.96499 100.21477 100.04999  99.73966 #>  [53971]  99.75971 100.03499 100.08996  99.83987 100.11993 100.12992  99.60924 #>  [53978] 100.20479 100.14490 100.25468 100.70253  99.60924  99.58916  99.75470 #>  [53985] 100.24470 100.40916 100.07997 100.48383  99.64437 100.59821  99.55903 #>  [53992] 100.15488  99.90495  99.66444 100.26465  99.57911 100.08496  99.77976 #>  [53999]  99.99500  99.68952  99.56405 100.82658 100.21976 100.32447 100.04999 #>  [54006]  99.64939 100.11493  99.97500 100.11993  99.96499  99.42334  99.77475 #>  [54013]  99.29250  99.74467  99.99000  99.40322  99.88493  99.97500 100.19481 #>  [54020]  99.47864 100.33942 100.31451  99.69955  99.67447 100.48383 100.44899 #>  [54027]  99.51382  99.86992  99.82986  99.72963 100.24969  99.70456 100.61312 #>  [54034] 100.32946 100.50373 100.39422  99.79479  99.97500  99.88994 100.33444 #>  [54041]  99.91496  99.71961  99.77475 100.41414  99.83987  99.71961 100.03999 #>  [54048] 100.15987 100.30952  99.39316  99.51382 100.25468  99.81984  99.95999 #>  [54055] 100.41414 100.09995  99.57409 100.23971  99.62931  99.95499 100.17485 #>  [54062] 100.23971  99.77976 100.17485  99.90495  99.50377 100.38426 100.03999 #>  [54069]  99.98500 100.50871  99.56907  99.79479  99.98000 100.04999 100.00000 #>  [54076] 100.18483  99.89494  99.87492  99.77976  99.70958 100.12992 100.07997 #>  [54083]  99.69955  99.49372 100.47388 100.38924  99.93498 100.21976 100.61809 #>  [54090] 100.09995  99.95999  99.72462 100.68764 100.18982  99.43842  99.97000 #>  [54097] 100.13491  99.97500 100.08996 100.03499 100.19980 100.40916  99.41328 #>  [54104]  99.69955  99.93498  99.99000  99.48367 100.16486 100.17984  99.79980 #>  [54111]  99.98000  99.57911 100.30952  99.88493 100.31949 100.03000 100.16986 #>  [54118]  99.59920  99.97000  99.55401 100.30454  99.91496 100.04999  99.81984 #>  [54125] 100.08496  99.82986 100.38924 100.28958  99.81984  99.48367 100.28460 #>  [54132] 100.40916 100.09995  99.81483 100.20479 100.24470 100.16486 100.32447 #>  [54139]  99.81483  99.91997 100.28958  99.45853 100.08996 100.35437  99.76973 #>  [54146]  99.80481 100.29955 100.13491 100.14490  99.73966  99.72963  99.88994 #>  [54153]  99.57911  99.71459 100.23971  99.80481 100.16486 100.29955 100.03499 #>  [54160] 100.02000  99.74969  99.70456  99.72462 100.53358  99.89995 100.10494 #>  [54167] 100.03999 100.12492  99.18669  99.84488  99.88493  99.65440 100.24969 #>  [54174]  99.68450  99.91496  99.80982  99.97000  99.76973 100.36932  99.54898 #>  [54181]  99.99000  99.77475  99.67447 100.01500 100.27961  99.97000  99.98000 #>  [54188]  99.50377 100.14490  99.78978  99.82485  99.40322 100.09495 100.26465 #>  [54195]  99.75470 100.47885 100.08496  99.56405 100.44899 100.21477 100.34441 #>  [54202] 100.22974  99.66945 100.04999  99.73465 100.43904  99.80982  99.75971 #>  [54209] 100.05498  99.98500 100.11993  99.89995  99.55401 100.10494  99.75470 #>  [54216]  99.80982 100.35935 100.27462  99.81984 100.36434 100.00500  99.96499 #>  [54223]  99.54898 100.29457  99.96499  99.82986  99.40825 100.26964  99.87492 #>  [54230] 100.28958 100.12492 100.31949  99.81984 100.03000  99.49874  99.42334 #>  [54237]  99.93498 100.27961  99.79980 100.13491 100.40418 100.22475  99.72462 #>  [54244]  99.82485 100.10994 100.52860 100.59324  99.68952 100.42410  99.55401 #>  [54251]  99.94999  99.61928 100.13491  99.97000 100.17984  99.73966 100.13990 #>  [54258] 100.64293 100.16486 100.27961 100.25468  99.77475  99.95999  99.98500 #>  [54265]  99.85489  99.72462 100.18483  99.64437  99.62429 100.14490  99.75971 #>  [54272] 100.04999  99.71459 100.05998 100.47885  99.85990  99.58916  99.68952 #>  [54279] 100.34441 100.69757  99.82986 100.16986  99.93498 100.09495  99.77475 #>  [54286]  99.76973  99.79980 100.00000 100.04499  99.47361  99.82485 100.12992 #>  [54293] 100.15987 100.18483  99.77475  99.81984  99.93998  99.55903 100.48881 #>  [54300] 100.25468 100.06498  99.45853 100.09995  99.63433  99.66444  99.84488 #>  [54307]  99.62931  99.95499  99.83486 100.08496 100.30952 100.24969  99.89494 #>  [54314] 100.05998  99.76472  99.87492  99.99500 100.12992 100.03499  99.69453 #>  [54321] 100.14490  99.90495  99.66444 100.22475  99.62429 100.16986  99.62931 #>  [54328] 100.29955 100.06998  99.77976  99.83987  99.94498 100.26465  99.72462 #>  [54335]  99.90996 100.02500  99.92497  99.35794  99.82485  99.72963 100.07997 #>  [54342] 100.34939  99.87993 100.20479 100.39920  99.98500 100.20479  99.40322 #>  [54349]  99.87993  99.78477 100.10494 100.19481  99.94999  99.62931  99.69453 #>  [54356] 100.41912 100.02000  99.73966  99.92998 100.38426 100.63797  99.90996 #>  [54363]  99.98000  99.75470 100.33942  99.57911 100.51368 100.57833 100.06998 #>  [54370] 100.50373  99.98000 100.09495 100.21976 100.60318 100.28460  99.91496 #>  [54377]  99.68952 100.03000 100.41414  99.66444 100.28460  99.95999 100.00500 #>  [54384]  99.38310 100.30454  99.88493 100.20479  99.93998 100.08996 100.26465 #>  [54391]  99.34787 100.18483  99.66945 100.19980 100.26964 100.22475 100.53855 #>  [54398] 100.01000 100.16486  99.81483  99.91496  99.95999  99.87993  99.36297 #>  [54405]  99.51884  99.75470 100.38426 100.15488 100.15488 100.10494  99.66444 #>  [54412] 100.39920  99.69453  99.70456  99.59418  99.99000 100.10994 100.23971 #>  [54419] 100.21976  99.90996 100.02000  99.52387  99.68952  99.75470 100.20479 #>  [54426] 100.00000  99.34284 100.06998 100.18483 100.38924 100.31451  99.78978 #>  [54433] 100.42410 100.30952 100.04499 100.03499 100.26465  99.91496 100.51865 #>  [54440]  99.46859  99.76472 100.33942  99.87993 100.05998 100.06998  99.70958 #>  [54447] 100.21976  99.98000  99.84989  99.94999  99.71459  99.91496 100.24969 #>  [54454] 100.39422  99.80481  99.78477  99.66945  99.96499  99.84488 100.06498 #>  [54461]  99.81483 100.38924 100.27961  99.53894 100.30952 100.12492 100.44401 #>  [54468]  99.46859  99.86992  99.80982  99.66444  99.75470  99.77475  99.76472 #>  [54475]  99.52387  99.90495 100.41414 100.31949  99.87993  99.54396  99.58414 #>  [54482]  99.94498  99.81483 100.25966  99.79479 100.17485  99.87993  99.95499 #>  [54489] 100.10494  99.97000  99.87993 100.11493  99.53894  99.61928 100.34939 #>  [54496] 100.04499 100.05498  99.64437  99.75971  99.83486  99.76472  99.59418 #>  [54503]  99.86992  99.41831 100.08496 100.70253 100.79186 100.68267 100.02000 #>  [54510]  99.54898 100.45397  99.80481  99.76472 100.23971  99.70456  99.66945 #>  [54517]  99.45853 100.39920  99.89995 100.01500 100.35935  99.67949 100.19980 #>  [54524] 100.06498 100.17984  99.94498 100.11993 100.02000 100.60318 100.16486 #>  [54531] 100.17984  99.97000  99.93998 100.17485 100.20978  99.60924  99.92998 #>  [54538]  99.92998 100.38426  99.94999 100.38426  99.61928  99.74467 100.03499 #>  [54545] 100.39920 100.54352  99.44848 100.45895 100.45397 100.34939 100.30952 #>  [54552]  99.72462  99.61928 100.00000 100.29457 100.42410  99.95999  99.59920 #>  [54559]  99.92998  99.83987 100.73232  99.60422  99.80982 100.39422 100.81667 #>  [54566]  99.66945 100.44899  99.87492 100.06498 100.23472  99.86491  99.96499 #>  [54573]  99.46356  99.86992  99.90996  99.47361  99.78477  99.51884 100.01500 #>  [54580] 100.41912  99.79980  99.95499  99.99000 100.40418  99.81483  99.87492 #>  [54587] 100.12492  99.93998  99.82986 100.09495 100.33444  99.63935 100.18483 #>  [54594] 100.19481 100.10494 100.53855  99.99000  99.96499 100.29457  99.77976 #>  [54601] 100.11993 100.01000 100.06998 100.42410 100.05498  99.63935 100.03499 #>  [54608]  99.76472 100.13491 100.10994 100.03999 100.27961 100.26465 100.55347 #>  [54615] 100.11493 100.32447 100.19481  99.65942 100.36434 100.17984  99.50377 #>  [54622]  99.98000  99.98000  99.97000 100.35437  99.55903  99.89494  99.59418 #>  [54629] 100.18483 100.37928 100.27462 100.18483 100.32447 100.14989  99.86491 #>  [54636]  99.52387  99.69955  99.67949  99.55401 100.53855 100.28460 100.21976 #>  [54643] 100.00500  99.82986 100.15488 100.13491 100.17485  99.52889 100.52860 #>  [54650] 100.24969 100.31451 100.21976 100.58330 100.40418  99.88994 100.05498 #>  [54657] 100.15488  99.91997 100.43904  99.84488  99.69955  99.68952 100.27961 #>  [54664]  99.95999 100.66280  99.78978 100.28460 100.11993  99.80982 100.29955 #>  [54671] 100.24470  99.75971  99.60422 100.12492  99.73465 100.19481 100.27961 #>  [54678] 100.26964 100.47885  99.93498  99.95999  99.81483 100.21477  99.55401 #>  [54685] 100.02500  99.83486 100.11493 100.01000  99.82485 100.03000 100.31949 #>  [54692]  99.66444 100.41414  99.76472  99.62429 100.29955 100.03999  99.89494 #>  [54699]  99.66945 100.02500 100.19481  99.59418 100.21976  99.63433  99.86992 #>  [54706]  99.99500 100.43406 100.48881  99.66945  99.95499 100.11993  99.86992 #>  [54713]  99.97500 100.16486  99.61928  99.92998  99.66444 100.13990  99.49372 #>  [54720] 100.04499  99.97500  99.82485 100.48383  99.95999 100.18982 100.09495 #>  [54727] 100.43406  99.96499 100.16486 100.38426 100.52363  99.54396 100.20978 #>  [54734] 100.04499 100.34939 100.22974 100.00000 100.11993  99.97000 100.36932 #>  [54741]  99.94498  99.50377 100.25966 100.19481 100.45397 100.02000 100.79186 #>  [54748]  99.93998  99.67949 100.07997 100.25468  99.53894 100.56341 100.11993 #>  [54755]  99.75470  99.90495 100.08496  99.62931 100.41912 100.27462 100.13491 #>  [54762]  99.80982  99.93498 100.18982  99.38813 100.31949 100.00500  99.64437 #>  [54769]  99.59920  99.41328 100.43406 100.49378 100.31949 100.00000 100.51865 #>  [54776] 100.06498 100.07497  99.97000 100.57336  99.83987  99.85990 100.05498 #>  [54783] 100.24470  99.88994 100.10494 100.26465  99.73966 100.04999  99.90996 #>  [54790]  99.60422  99.65440 100.09495 100.09495 100.01000 100.01500  99.84488 #>  [54797] 100.19481  99.83987  99.99500 100.48881  99.61928 100.08996  99.66945 #>  [54804] 100.03000 100.42410  99.72462 100.33942  99.75470  99.62429 100.00000 #>  [54811]  99.94999 100.31451  99.71961  99.68450  99.61928  99.97500 100.27961 #>  [54818]  99.70456  99.76973 100.73232  99.98000 100.01000  99.78978  99.92998 #>  [54825] 100.10494  99.84488 100.49378  99.98000 100.34939  99.78978  99.98000 #>  [54832]  99.67447  99.88493  99.82485 100.10994 100.21976 100.21477  99.78978 #>  [54839] 100.52860  99.87993 100.37928 100.38426 100.22974  99.91997  99.86992 #>  [54846] 100.43406  99.49372  99.86992 100.09995  99.37303 100.37430  99.64437 #>  [54853]  99.65942  99.80481 100.18982 100.07997 100.01500  99.95499 100.01000 #>  [54860] 100.11993  99.80481 100.34441 100.19980  99.98500  99.33781  99.99500 #>  [54867] 100.04499 100.00000  99.88493 100.12992  99.54396  99.90495  99.99500 #>  [54874] 100.09995 100.18483 100.00500 100.32946 100.37430 100.21477 100.24470 #>  [54881]  99.71459 100.05998  99.63935  99.83486 100.02500  99.67949 100.42908 #>  [54888] 100.32447 100.11993  99.83486  99.83486  99.81984 100.08996  99.67949 #>  [54895]  99.72462  99.88994 100.06998 100.29955  99.60422  99.90495  99.74969 #>  [54902] 100.17984 100.40916  99.68450 100.43406 100.09495 100.02500 100.32447 #>  [54909]  99.84989 100.08496 100.13491  99.78978  99.80982  99.74467  99.54396 #>  [54916] 100.72735 100.20479 100.16486  99.96499  99.57911  99.64939 100.03999 #>  [54923]  99.78477  99.63433 100.19980  99.52387  99.80982  99.93498  99.58414 #>  [54930] 100.47885  99.66444 100.16986 100.00500  99.63935 100.12492 100.18483 #>  [54937]  99.68952  99.94999 100.38924 100.16986 100.13990 100.45895 100.38426 #>  [54944] 100.18982 100.30952  99.98500 100.09995 100.12992  99.47361  99.96499 #>  [54951]  99.76472 100.53855 100.31451 100.22974  99.47361 100.03499 100.23472 #>  [54958]  99.41328 100.59324  99.92998 100.22974  99.72963 100.09995 100.02500 #>  [54965]  99.91997 100.05998 100.19481 100.03499  99.93998 100.07497 100.23971 #>  [54972]  99.86992  99.82986  99.80481  99.69453  99.62429  99.80982 100.47885 #>  [54979]  99.84989  99.44848  99.73465  99.42837  99.92497 100.21477  99.28746 #>  [54986]  99.74969 100.12992  99.80481  99.86491 100.08496  99.43842 100.33444 #>  [54993] 100.15987  99.93498  99.66945 100.10994 100.18982  99.73465 100.19481 #>  [55000] 100.06998  99.79980  99.95499  99.94498 100.00500  99.92998 100.41912 #>  [55007] 100.12492  99.93998  99.91496 100.12992 100.39422  99.87993 100.20978 #>  [55014]  99.71459  99.73465 100.01000  99.83987  99.50879  99.47361 100.41912 #>  [55021] 100.25966 100.17984 100.30454  99.94999 100.17485  99.57911 100.48881 #>  [55028]  99.69453  99.78477  99.49372 100.24470 100.10994 100.01500  99.60924 #>  [55035]  99.83486 100.34441 100.31451 100.48881  99.80982  99.68952 100.52363 #>  [55042] 100.62803 100.27462 100.46890 100.20479  99.98000  99.80982  99.88994 #>  [55049] 100.22974 100.29457 100.29955 100.21976 100.00500 100.16486  99.59418 #>  [55056]  99.58414 100.66280  99.94999 100.03000 100.08496 100.17485  99.59920 #>  [55063]  99.98000  99.38310 100.52363  99.63935  99.73465  99.60924  99.97000 #>  [55070] 100.22974  99.54898  99.68952 100.08996 100.41912  99.95499  99.90495 #>  [55077]  99.71961 100.29457  99.75470 100.35935  99.95999  99.64939  99.55401 #>  [55084]  99.81483 100.35935  99.95999 100.32946  99.97000  99.75971  99.87492 #>  [55091]  99.76973  99.92998 100.16986 100.20479  99.85990 100.24969 100.30454 #>  [55098] 100.27462 100.49876 100.27961  99.99000  99.94498 100.40418 100.23971 #>  [55105] 100.03999 100.68764 100.03000 100.29457  99.50377 100.02500 100.18483 #>  [55112] 100.16486  99.87993 100.31451 100.11993 100.35935  99.82986  99.10096 #>  [55119] 100.05498 100.26465 100.28958 100.20978 100.27961 100.03000 100.10994 #>  [55126]  99.99000  99.79980  99.58414 100.08496  99.74969  99.91997 100.70750 #>  [55133] 100.14490  99.61928  99.63433 100.55347  99.51884  99.56907 100.01500 #>  [55140]  99.48869 100.30454 100.13990  99.91997 100.01500 100.04499 100.18483 #>  [55147] 100.21976  99.50377 100.02500 100.28958  99.83987  99.71459 100.49378 #>  [55154] 100.03499 100.31949  99.97500  99.76472  99.59418  99.92497  99.32271 #>  [55161] 100.14989 100.30454  99.53894 100.32447  99.45351  99.77976  99.79980 #>  [55168] 100.06998 100.09995 100.11493  99.98500 100.46392 100.61312  99.79980 #>  [55175] 100.10994 100.17984 100.09995  99.66945  99.76973  99.94999 100.07997 #>  [55182] 100.02000  99.62429  99.70456 100.00500 100.13491  99.90996  99.55401 #>  [55189]  99.89995  99.95999  99.99000 100.49378  99.74467 100.49378 100.07997 #>  [55196] 100.40418  99.87492  99.97500 100.35935 100.22974  99.84488  99.26732 #>  [55203]  99.46859  99.81483  99.56405 100.27961 100.47388 100.24470 100.05998 #>  [55210] 100.26964  99.74467  99.51884  99.89494 100.23971 100.33942 100.04499 #>  [55217] 100.12492  99.41328 100.00500  99.94498 100.12492  99.88994  99.89995 #>  [55224]  99.94999  99.59418  99.97500  99.94498  99.87492  99.90495  99.68450 #>  [55231]  99.60924 100.17485 100.02500  99.69955  99.68952 100.54850 100.39422 #>  [55238] 100.07497  99.61928  99.93998 100.03000 100.29457  99.58414  99.85489 #>  [55245]  99.88493  99.39819 100.26465 100.12492  99.74467 100.23971  99.65942 #>  [55252] 100.25966 100.14490 100.15488 100.03999 100.08996 100.35935 100.23472 #>  [55259]  99.96499 100.52363 100.15488  99.66444  99.87492 100.15488  99.99000 #>  [55266]  99.88493  99.89995  99.98500  99.81483  99.64939  99.95999  99.92998 #>  [55273]  99.44345  99.73465 100.25468 100.31451  99.84989  99.77475 100.09995 #>  [55280] 100.24470 100.37928  99.95999  99.93998  99.94999  99.71961 100.25966 #>  [55287] 100.13491 100.39422 100.14490 100.33942 100.42908 100.15987 100.04499 #>  [55294] 100.12992  99.79980 100.32447 100.15488  99.99500  99.85990  99.90996 #>  [55301]  99.87993 100.16486  99.82986 100.29955  99.54396  99.99500 100.15987 #>  [55308] 100.03000 100.15488  99.78477  99.93998 100.01000 100.17485 100.38924 #>  [55315] 100.43904  99.95999 100.11993 100.56838 100.11993  99.86491 100.23472 #>  [55322]  99.40322 100.04499  99.54396 100.14490 100.24470  99.88493  99.76472 #>  [55329]  99.80982  99.40322 100.01000  99.88994 100.23472 100.28958 100.42410 #>  [55336] 100.23472 100.09495 100.35437  99.87492  99.79479  99.81984 100.08496 #>  [55343]  99.87993  99.57911  99.79980 100.22974 100.47388  99.80481  99.40825 #>  [55350]  99.45351  99.82485 100.37430 100.05498  99.84488 100.38924  99.77475 #>  [55357]  99.81483  99.97500  99.65440  99.82485  99.81483  99.61928 100.29955 #>  [55364] 100.53855  99.92497 100.22974 100.09995 100.24470  99.90996 100.18982 #>  [55371] 100.47885 100.31451 100.43406  99.82485  99.72462  99.79479 100.53855 #>  [55378]  99.58916 100.40916  99.70958 100.38924 100.16986 100.06498  99.74969 #>  [55385] 100.16986 100.49876  99.84488  99.73966 100.05998 100.00500 100.45397 #>  [55392] 100.50373 100.34939  99.36800  99.99500  99.60422 100.18982  99.39819 #>  [55399] 100.64293 100.02500 100.26964  99.91997 100.13491 100.17984  99.51884 #>  [55406] 100.25966 100.22475  99.81984 100.64293  99.69955  99.57911 100.42908 #>  [55413] 100.35437  99.80481  99.84989 100.29457 100.44401  99.30760 100.65784 #>  [55420]  99.90495  99.83486  99.77475 100.24969 100.16986 100.11493  99.81483 #>  [55427] 100.04999  99.61426  99.92497  99.37303  99.62931 100.73728 100.03000 #>  [55434]  99.95999 100.24969 100.33942 100.05998  99.40825 100.40916  99.62429 #>  [55441] 100.41912  99.99000 100.36434  99.59920 100.05998 100.16486  99.98000 #>  [55448] 100.23971  99.90996  99.79980  99.67447 100.33942  99.50879 100.13491 #>  [55455] 100.03999 100.14490 100.07997 100.12492 100.19980  99.71961  99.26228 #>  [55462] 100.08496 100.28958  99.49874  99.34787  99.87492 100.08996  99.68450 #>  [55469] 100.26465 100.48383  99.93998 100.04499 100.43406  99.76973 100.08996 #>  [55476]  99.60422  99.79479 100.36434  99.80982 100.41414 100.11493  99.56907 #>  [55483]  99.91997  99.91496 100.39920  99.97500  99.83486  99.79479 100.19980 #>  [55490]  99.76973  99.77475  99.54396 100.09495  99.73966  99.54396  99.93998 #>  [55497]  99.90996  99.86992 100.45397 100.21976 100.36932  99.86992 100.20978 #>  [55504]  99.46859  99.99000  99.85990  99.94999 100.05998 100.05998 100.47388 #>  [55511]  99.99500 100.14490 100.51368 100.37430 100.67770 100.16986  99.87492 #>  [55518]  99.88493 100.57833 100.22475 100.13990 100.01500 100.15987 100.21976 #>  [55525] 100.09495 100.48881  99.77475 100.13491 100.69260  99.94999  99.69955 #>  [55532] 100.29955  99.73966  99.93498  99.54898  99.75971 100.05498 100.04999 #>  [55539] 100.53358 100.46890 100.28958 100.03499 100.34939  99.81483 100.32447 #>  [55546]  99.44848 100.08996  99.72462  99.76973  99.86491  99.58414 100.30952 #>  [55553] 100.51368  99.69955  99.73465  99.81483 100.28958  99.52387  99.66945 #>  [55560] 100.32946 100.13491 100.06998  99.69955  99.87993 100.74721  99.79980 #>  [55567] 100.11993 100.08496 100.59821 100.23971  99.68450 100.24969 100.07997 #>  [55574]  99.83486 100.22475 100.25966 100.23971  99.60924  99.89494 100.20978 #>  [55581] 100.26465  99.87492  99.74969 100.10494  99.49372  99.72462  99.85990 #>  [55588]  99.60422 100.00500 100.15987  99.83486  99.96499 100.44899 100.16486 #>  [55595]  99.83486  99.37807 100.15987 100.95048  99.90996 100.00000 100.16486 #>  [55602]  99.55401 100.03499 100.31949 100.39422  99.48869 100.07997  99.37807 #>  [55609]  99.89494  99.72963 100.08996  99.72462 100.37430 100.10994 100.24470 #>  [55616]  99.55903 100.26465  99.83486  99.87993 100.23472  99.80481  99.49874 #>  [55623] 100.42410  99.99000  99.73465  99.81483  99.78978  99.74467  99.86491 #>  [55630]  99.79980  99.88493 100.13491 100.03499  99.63935  99.70958  99.63935 #>  [55637] 100.57336 100.21976 100.32447 100.24969 100.18483  99.82485 100.41912 #>  [55644] 100.21477 100.48383  99.74467 100.10494 100.03999 100.53358 100.40916 #>  [55651]  99.94999  99.91997  99.76973  99.76472 100.43406 100.41912 100.04499 #>  [55658] 100.35935  99.71459 100.37430 100.13990 100.01000  99.94498  99.87492 #>  [55665] 100.03000 100.13491  99.86491  99.63935 100.39920  99.95499 100.21477 #>  [55672] 100.04999 100.08496  99.81483 100.08996 100.03000 100.15488 100.01000 #>  [55679] 100.11993 100.62803  99.93498 100.59821 100.04499  99.36297 100.03499 #>  [55686]  99.82986 100.53358 100.45895 100.24470  99.82485 100.31451 100.34939 #>  [55693]  99.97000 100.28460 100.03499 100.25468 100.32946  99.88493 100.22974 #>  [55700]  99.82485 100.23971 100.41414  99.98500  99.75971 100.15488  99.57911 #>  [55707] 100.07497 100.04999  99.72462  99.94498  99.55903 100.17485 100.07497 #>  [55714]  99.81483  99.91496  99.70958 100.57833 100.13491  99.64437 100.21976 #>  [55721]  99.76472 100.14490 100.41912 100.29457  99.88994  99.74467 100.29457 #>  [55728] 100.03000  99.58414 100.32946 100.04999  99.94999 100.22974  99.83987 #>  [55735] 100.12992 100.24470 100.04499 100.39920  99.74969 100.52860 100.02500 #>  [55742]  99.84989 100.32447 100.16986 100.15987 100.15987 100.10494 100.15488 #>  [55749] 100.25468 100.16486 100.18982 100.08996 100.12992 100.22974 100.35935 #>  [55756] 100.19481 100.12492 100.73232 100.46392 100.05998 100.15488 100.28460 #>  [55763] 100.02500 100.29955 100.12992 100.69757  99.85990  99.89494  99.90495 #>  [55770]  99.67949 100.41912 100.17984  99.83486  99.63935  99.69453  99.75971 #>  [55777]  99.76472 100.36434 100.15488 100.45397  99.82986 100.39920 100.05998 #>  [55784]  99.72963 100.01500  99.80982  99.84488  99.97500 100.09495 100.59324 #>  [55791] 100.20978 100.31451 100.34441  99.65440 100.27462  99.78978 100.05498 #>  [55798]  99.85489  99.31767 100.06998  99.98500 100.38924  99.91496  99.95499 #>  [55805] 100.00000 100.29955 100.08496 100.20479 100.29955 100.07997  99.81984 #>  [55812] 100.02000  99.71459 100.06498  99.92998 100.06498  99.75470 100.39422 #>  [55819]  99.77475  99.93498 100.11493 100.21976 100.01500 100.11993  99.47361 #>  [55826]  99.88994  99.53894 100.03999 100.16986  99.84989 100.09995 100.11993 #>  [55833]  99.87993 100.23971 100.40916 100.53855  99.57409 100.05998 100.21477 #>  [55840] 100.30454  99.89995 100.01500  99.64939  99.53894  99.94999 100.19980 #>  [55847] 100.16986  99.94999 100.21976 100.07497  99.99000  99.71961 100.03499 #>  [55854]  99.50879  99.40825 100.18483  99.90495  99.76472 100.12492  99.85990 #>  [55861] 100.35437  99.77475 100.31451  99.49372 100.22475  99.71961  99.85990 #>  [55868] 100.18483 100.13990  99.90996  99.85489  99.54396  99.98000  99.90996 #>  [55875]  99.92497 100.00000  99.68450 100.06498  99.78477 100.19980 100.33444 #>  [55882] 100.16486  99.74467 100.03499  99.70456  99.86491 100.07997 100.16486 #>  [55889]  99.94999 100.35437 100.41912 100.16486 100.00500 100.52860 100.19481 #>  [55896]  99.64939  99.66444 100.36434  99.98500  99.99000 100.61809 100.61312 #>  [55903]  99.92497  99.62931 100.37430 100.03999  99.57409 100.15488 100.12492 #>  [55910] 100.01500 100.21477 100.48383 100.62306 100.18483 100.06498 100.13990 #>  [55917]  99.80982  99.79980 100.01000  99.46356  99.76973 100.09495 100.03999 #>  [55924] 100.18982  99.71459 100.15987  99.96499  99.73966 100.29457  99.75470 #>  [55931] 100.10494  99.89494 100.20978 100.54352 100.49876 100.38924  99.91496 #>  [55938] 100.16486  99.53894  99.98000 100.09995 100.12492  99.68952  99.80481 #>  [55945]  99.99500  99.95999  99.89494 100.14989 100.09495 100.09495 100.22974 #>  [55952]  99.92998 100.11993  99.95499  99.75470  99.88994  99.31767 100.47885 #>  [55959]  99.56907 100.43406 100.04999 100.22475 100.05498  99.98000 100.17984 #>  [55966]  99.94498  99.28746  99.96499  99.72963  99.68450 100.06498 100.09495 #>  [55973]  99.86491  99.92497 100.36434  99.97500  99.78477 100.10994 100.34441 #>  [55980]  99.71459  99.62429  99.66945 100.57336 100.62306 100.04999 100.25468 #>  [55987]  99.79980 100.37430  99.36297  99.68952 100.51368  99.67949 100.13990 #>  [55994] 100.03000 100.38924 100.08996  99.61928  99.83987  99.93498  99.97000 #>  [56001]  99.66444 100.41414 100.43406  99.76973 100.29457  99.78477 100.18982 #>  [56008] 100.09995 100.13491 100.47388  99.89995 100.36434  99.86491 100.26964 #>  [56015] 100.43904 100.25966 100.11993  99.89494  99.75470 100.29457 100.06498 #>  [56022]  99.65942  99.50377  99.93498 100.04999  99.84488  99.93998 100.19481 #>  [56029]  99.91997 100.39422  99.54898 100.16486 100.02500  99.89494  99.77976 #>  [56036] 100.25468 100.09495 100.39920 100.23472 100.00500 100.13491  99.96499 #>  [56043]  99.81483  99.76973  99.53391 100.12492  99.84488 100.15488  99.87993 #>  [56050] 100.26465  99.97000  99.73465 100.55844  99.47864 100.01500 100.38426 #>  [56057] 100.01000 100.04499  99.50377  99.86491  99.95999 100.18982 100.09495 #>  [56064]  99.72462 100.24470 100.46392  99.61426  99.44848  99.56907  99.88994 #>  [56071]  99.67447  99.52889 100.33444  99.58916 100.13491 100.66777  99.57409 #>  [56078] 100.37430 100.70253  99.81984  99.90996 100.10994  99.84488 100.13491 #>  [56085]  99.76472 100.26465 100.01500 100.31949 100.35935  99.90996 100.06998 #>  [56092] 100.04499  99.69453 100.27961  99.73966  99.79479 100.37430  99.90996 #>  [56099]  99.98000 100.31451 100.09495  99.72963  99.58916 100.43904  99.75971 #>  [56106]  99.78978  99.92998  99.73966 100.19980 100.58827 100.14490  99.41831 #>  [56113] 100.19980 100.26964 100.36932 100.11993 100.34939 100.34939  99.94999 #>  [56120] 100.16986  99.97000  99.79479 100.10494  99.72462 100.43904 100.24470 #>  [56127] 100.28460  99.65440 100.33942  99.91496 100.15488 100.63300  99.77475 #>  [56134]  99.66945  99.70958  99.53894 100.00500 100.03000  99.63935  99.80481 #>  [56141] 100.00000 100.05498 100.38426  99.88994 100.26465  99.89494  99.40322 #>  [56148] 100.43904  99.64939 100.05998  99.90996  99.75971  99.99000 100.24969 #>  [56155]  99.86491 100.02000 100.31451  99.61426  99.94498  99.83987 100.41414 #>  [56162] 100.16986 100.04999  99.83486 100.10994 100.42410  99.88994 100.03499 #>  [56169] 100.09495 100.09495  99.95999  99.73966  99.91496  99.98500  99.86491 #>  [56176]  99.99500  99.92998  99.37303 100.01000 100.25966  99.43339  99.69453 #>  [56183] 100.17984  99.82485  99.88493 100.21477 100.25468 100.42908 100.06498 #>  [56190] 100.08496 100.44899  99.97000 100.45895 100.31451  99.73966  99.78978 #>  [56197] 100.09995 100.15987 100.33444 100.03499 100.13990 100.35935 100.30952 #>  [56204] 100.09995  99.93998  99.52387 100.24470 100.54850  99.97500 100.60318 #>  [56211] 100.15488 100.25966  99.97500  99.66945  99.75470  99.57409 100.22974 #>  [56218] 100.50373 100.38924  99.83486  99.95999  99.61426  99.80982  99.98000 #>  [56225]  99.95999  99.79980  99.62429 100.11493  99.64437  99.81984  99.83486 #>  [56232] 100.32447  99.97000  99.80481 100.05498 100.18982  99.99000  99.97000 #>  [56239] 100.08496  99.97000 100.02000  99.95499  99.99500  99.26228  99.76973 #>  [56246] 100.37430 100.54352 100.17485 100.36932 100.02500 100.00500  99.11609 #>  [56253]  99.95499  99.50377 100.08496 100.13491 100.37430 100.27961  99.66945 #>  [56260]  99.85990  99.87993  99.90996  99.71961 100.10994 100.09495 100.24969 #>  [56267] 100.34441 100.55347  99.67949  99.88493  99.80481  99.78978  99.57409 #>  [56274]  99.54898  99.77475  99.76472  99.56907  99.52889  99.66945 100.37928 #>  [56281] 100.20479 100.15987  99.86491 100.21477 100.42410  99.69955 100.15987 #>  [56288]  99.58414 100.32447 100.21477 100.09495  99.80982 100.03999  99.88493 #>  [56295]  99.98000  99.95499  99.96499  99.79479  99.89995 100.18483 100.12992 #>  [56302] 100.13491  99.87492  99.92998  99.68952 100.15488  99.97000 100.14989 #>  [56309]  99.99000 100.07997  99.87492 100.40418 100.02000  99.84989 100.19481 #>  [56316] 100.43904 100.68267 100.56341 100.17984  99.68450  99.95499 100.07997 #>  [56323]  99.32774 100.25966 100.18982  99.43842  99.93998  99.60422 100.35437 #>  [56330] 100.20479  99.78477 100.21477  99.89494 100.01000 100.26465  99.82485 #>  [56337] 100.20479 100.00000 100.08996  99.99000  99.64437 100.16986 100.03000 #>  [56344]  99.59418  99.82485 100.15488 100.43904  99.64437  99.66945 100.15488 #>  [56351] 100.09495  99.95999  99.69453 100.45895  99.56907 100.32447 100.45397 #>  [56358]  99.73465 100.04999  99.78978  99.87993  99.88994  99.75470 100.14490 #>  [56365]  99.99000  99.88994  99.48869  99.75470 100.10494 100.57833  99.85489 #>  [56372] 100.13491 100.36932  99.91496  99.85489 100.15488  99.66444 100.10494 #>  [56379]  99.92497 100.49378 100.11493 100.07497 100.42410  99.99000  99.61928 #>  [56386] 100.11493  99.44345 100.04999  99.86992  99.86992 100.10494 100.36932 #>  [56393]  99.86491  99.94498 100.23971  99.91997 100.09495 100.41414 100.06998 #>  [56400]  99.80481  99.93998 100.26964  99.62429 100.57336 100.21477  99.70456 #>  [56407]  99.74969  99.94999  99.54898 100.06498  99.92998 100.53855  99.73465 #>  [56414]  99.64939 100.09495  99.83486 100.06498  99.80481  99.51382 100.02000 #>  [56421]  99.86992  99.96499 100.45895 100.13491  99.73465  99.73966 100.03499 #>  [56428] 100.34441  99.48367  99.98500  99.98000  99.65942 100.32946  99.98500 #>  [56435]  99.81984 100.62306 100.31949  99.69453 100.11493 100.16486  99.66945 #>  [56442]  99.99000  99.75971  99.63935  99.64437  99.44848  99.72963 100.24470 #>  [56449] 100.27961  99.82485  99.95499  99.78978  99.90996 100.31451 100.35935 #>  [56456]  99.55903  99.66444  99.89995 100.16486 100.36434 100.10994  99.65942 #>  [56463]  99.77976  99.97500 100.01500 100.11993 100.01000 100.25966  99.61928 #>  [56470] 100.50373 100.29457  99.78477  99.73465  99.84989 100.13491 100.00500 #>  [56477] 100.42410 100.62306 100.10994 100.43904 100.64293  99.57911  99.48869 #>  [56484]  99.84989 100.10494 100.28958 100.01500 100.00000  99.47361 100.08496 #>  [56491] 100.32946  99.85990  99.92998  99.83987 100.12492 100.35935 100.41414 #>  [56498] 100.40916 100.02500  99.90996 100.38426  99.93998 100.48881  99.41328 #>  [56505]  99.83486  99.97000 100.21976  99.33781  99.64939 100.07497  99.90996 #>  [56512] 100.52363 100.46890 100.27961 100.36434  99.73465 100.24969  99.62931 #>  [56519]  99.73465  99.78477 100.05498  99.34787  99.37303 100.00500 100.55844 #>  [56526] 100.35437 100.30454  99.37303  99.54396  99.94498 100.12492 100.12992 #>  [56533]  99.45351  99.64437  99.78477  99.43842  99.91997 100.32447 100.87121 #>  [56540]  99.97500 100.40916 100.20479 100.44899  99.50377 100.25966 100.29457 #>  [56547]  99.74467 100.30454 100.28460  99.75971  99.75971  99.65942  99.65440 #>  [56554]  99.86491 100.25468 100.33942  99.79479  99.67949 100.21976 100.35437 #>  [56561] 100.64293  99.68450  99.70958  99.83486 100.30952  99.66444  99.81483 #>  [56568]  99.61928 100.06498 100.05998 100.35437 100.15488  99.97500  99.94999 #>  [56575] 100.08496 100.35437  99.74467 100.59324  99.71961  99.92998 100.16986 #>  [56582] 100.04499  99.97500 100.47388  99.76472  99.83486  99.76472  99.47864 #>  [56589]  99.75971  99.83987 100.09495 100.01000 100.41414 100.25468 100.18982 #>  [56596] 100.01000 100.41912 100.66280  99.68450 100.16986 100.03499  99.68450 #>  [56603]  99.28746  99.88994  99.69955  99.64437 100.40916 100.63797 100.22475 #>  [56610] 100.08996  99.87993 100.28958  99.54898 100.19481 100.37928  99.80481 #>  [56617]  99.72963 100.35437 100.20479  99.62429  99.94498  99.97500 100.25966 #>  [56624] 100.05998 100.22475  99.90996 100.02000 100.10994 100.63300 100.24969 #>  [56631] 100.10994  99.90996 100.44899 100.37430 100.35437 100.23472  99.79479 #>  [56638]  99.80481  99.88493  99.92998  99.50879  99.89494  99.70958 100.27961 #>  [56645]  99.78978  99.95499 100.10494 100.25468 100.19980  99.71961 100.07497 #>  [56652]  99.85489 100.28460 100.31949  99.71459 100.24969 100.52860  99.70456 #>  [56659]  99.58414  99.88493 100.00000  99.85990  99.89995  99.82485  99.88493 #>  [56666]  99.82986 100.57336 100.20479  99.95499  99.80982 100.09495  99.63433 #>  [56673] 100.08996 100.28460  99.61928  99.91997 100.23971 100.03499 100.53358 #>  [56680]  99.95999 100.44401  99.70456  99.75971 100.28460  99.87993  99.49372 #>  [56687] 100.31451  99.62429 100.17984  99.98500  99.95999  99.92497  99.58414 #>  [56694]  99.80481 100.47388 100.05998 100.38924  99.78477 100.08996 100.10994 #>  [56701] 100.24969 100.08496 100.03499 100.29955  99.84488  99.81483  99.95499 #>  [56708]  99.87993  99.42334  99.86491  99.68450 100.64790 100.44899 100.07497 #>  [56715]  99.92998 100.06498 100.44401 100.38924  99.52387  99.49372  99.98500 #>  [56722]  99.93498 100.10994  99.65440 100.02000  99.97000  99.85990  99.44848 #>  [56729]  99.73465 100.00500  99.95499 100.30454  99.48869  99.49874 100.20978 #>  [56736] 100.24470  99.73966  99.90996 100.39422 100.00500 100.19481  99.74969 #>  [56743]  99.71459  99.74969 100.27961 100.26465 100.29955  99.83486  99.81984 #>  [56750]  99.31264 100.04999 100.05498  99.50879 100.38924 100.30952  99.60422 #>  [56757] 100.32447 100.05498 100.26964 100.36932 100.62306 100.38924 100.77698 #>  [56764]  99.72462  99.84488 100.07997 100.32447  99.67949 100.25966  99.97000 #>  [56771] 100.24969  99.38310 100.36434 100.20479  99.96499 100.36932  99.74467 #>  [56778] 100.65784 100.09995 100.39422  99.85990 100.34441  99.86992 100.42908 #>  [56785]  99.88493  99.97500  99.60924 100.31949 100.24470  99.92998 100.33942 #>  [56792] 100.09495  99.42334 100.21976  99.91997  99.92998 100.18982 100.63300 #>  [56799] 100.04999 100.20978 100.02000 100.38426 100.65784 100.45895 100.14490 #>  [56806]  99.88493  99.55903  99.92998  99.80481 100.29457  99.82986 100.03999 #>  [56813]  99.77976  99.61928 100.18982 100.25966 100.36434  99.87492 100.63797 #>  [56820]  99.88994 100.30454  99.55401  99.67447 100.35437 100.74721  99.63433 #>  [56827]  99.97500 100.40916 100.38426  99.84488 100.15488 100.07997  99.94999 #>  [56834]  99.84488  99.82485  99.89995 100.22475  99.37303  99.93498  99.85489 #>  [56841]  99.84488  99.83987 100.32946  99.92998  99.37303 100.50373  99.62931 #>  [56848]  99.64437 100.37430  99.71961  99.90996 100.18982  99.82485  99.51884 #>  [56855] 100.02500 100.04499 100.52860 100.11993  99.89494 100.32946 100.04999 #>  [56862]  99.57911  99.92497  99.98500 100.68764  99.94498  99.67949  99.23205 #>  [56869]  99.95999 100.12492  99.56907  99.86992 100.01000 100.53358 100.05498 #>  [56876]  99.64939  99.82485  99.38310 100.23971 100.02500 100.21477 100.17485 #>  [56883]  99.86491 100.44401 100.05498  99.84989  99.54396 100.10494  99.93998 #>  [56890] 100.38426  99.84488  99.90996  99.29753  99.79479 100.10994  99.76472 #>  [56897]  99.74467 100.07497  99.97000  99.93498 100.03999 100.28958 100.01000 #>  [56904] 100.00500  99.79980 100.21477 100.22974  99.95499 100.25468  99.46859 #>  [56911] 100.07497 100.01500 100.35935 100.05498  99.95999  99.79479 100.12492 #>  [56918]  99.55401  99.93998 100.34939 100.22974 100.18982  99.92497  99.62931 #>  [56925]  99.95499 100.15987 100.16486  99.64437 100.18483 100.03499  99.64939 #>  [56932]  99.52889 100.37928 100.34939  99.87993 100.25966 100.14490 100.07497 #>  [56939] 100.00500  99.93498  99.98000 100.00500 100.06998 100.07997 100.26964 #>  [56946]  99.85489 100.10494 100.03000 100.01500 100.48383 100.33942 100.26465 #>  [56953] 100.06498 100.17485 100.52860 100.15488  99.88994 100.42410 100.42908 #>  [56960]  99.97500 100.29955  99.36800 100.59324  99.63433  99.72462 100.10494 #>  [56967]  99.71961  99.91997 100.33942  99.59418  99.82485  99.72462  99.50879 #>  [56974] 100.04499  99.83486  99.65440  99.27739  99.86491  99.91997  99.72462 #>  [56981] 100.17485  99.92497  99.97500 100.13491 100.09495 100.08996  99.61928 #>  [56988] 100.17485 100.31451 100.13990  99.76472 100.47885 100.20978  99.97500 #>  [56995]  99.75470 100.33444 100.01000 100.20978 100.04999 100.03999 100.13491 #>  [57002]  99.86992 100.13990 100.03999 100.45397  99.87993  99.42837 100.28460 #>  [57009]  99.79980  99.87492  99.72462 100.45895 100.22475 100.51368  99.82485 #>  [57016] 100.03000  99.58414  99.76973  99.88994 100.59821  99.99000  99.62931 #>  [57023]  99.56405 100.13491 100.03999  99.64939  99.73465 100.02000 100.22475 #>  [57030]  99.76472 100.08996 100.21976  99.80982 100.00500 100.33942 100.07497 #>  [57037]  99.90495  99.87492  99.95999  99.82485  99.41831 100.18483 100.01000 #>  [57044]  99.53391  99.98500  99.73465 100.01000  99.71459 100.59821 100.49876 #>  [57051] 100.04499 100.06498  99.64939 100.21477 100.05998  99.73465 100.50871 #>  [57058]  99.97500  99.87993 100.20978 100.09995 100.29457  99.84989 100.58330 #>  [57065] 100.55844  99.94498  99.89995 100.36932 100.03000 100.03000  99.71961 #>  [57072] 100.00000 100.48383  99.88994 100.75217  99.98000 100.34441 100.53855 #>  [57079]  99.79980 100.48881 100.28958  99.77976  99.88994 100.01500  99.87492 #>  [57086] 100.02000 100.22475  99.99000 100.08496 100.18483 100.16486  99.43842 #>  [57093] 100.15987 100.38426 100.57336  99.80982 100.16486  99.71961 100.54352 #>  [57100] 100.43904 100.36932  99.98000 100.41912 100.34939 100.03499  99.81984 #>  [57107] 100.06998  99.55903 100.31451 100.50871 100.13990  99.54898  99.71459 #>  [57114] 100.37430 100.35437  99.70958 100.03499 100.09495 100.41912 100.12492 #>  [57121] 100.29955 100.57833 100.39422  99.49874 100.38924 100.12492  99.58414 #>  [57128] 100.29457 100.23472 100.06498  99.76472 100.03499  99.94999 100.31949 #>  [57135] 100.07997  99.94498 100.02000  99.75971  99.63935 100.40916  99.84488 #>  [57142]  99.79479  99.51884  99.91997 100.07497  99.60422  99.62429  99.83486 #>  [57149]  99.69955 100.33444 100.23971  99.68450  99.58414  99.77976 100.47885 #>  [57156] 100.38924  99.75971 100.31949  99.94999  99.93498  99.56907 100.32946 #>  [57163]  99.78477  99.99500  99.78978 100.02000  99.64437 100.10994  99.84488 #>  [57170] 100.26964 100.46392  99.73966 100.17485 100.53855 100.41912 100.10994 #>  [57177]  99.93998 100.32447  99.85489 100.21477  99.65942  99.91997 100.39920 #>  [57184] 100.10494  99.82986 100.08496  99.65440  99.53391  99.97000 100.03999 #>  [57191]  99.59920 100.27462 100.23971 100.20479  99.56405 100.43904 100.06998 #>  [57198]  99.67447 100.17485  99.39316  99.63433  99.72462 100.02000  99.98000 #>  [57205] 100.09495  99.49372  99.84488 100.55347 100.58330  99.97000 100.01000 #>  [57212] 100.54352  99.96499  99.58916 100.02000  99.87492 100.34939 100.03999 #>  [57219]  99.37807 100.64790 100.15488 100.26964  99.76472 100.47388 100.39422 #>  [57226]  99.78477  99.60924  99.48367 100.13990 100.09495  99.79980  99.84488 #>  [57233] 100.53358 100.03000 100.23971  99.89995  99.79479 100.05498  99.74467 #>  [57240]  99.67447  99.94498 100.09495  99.75971  99.81483  99.46356  99.86992 #>  [57247]  99.95999 100.04499 100.08996 100.14490 100.22974  99.95499 100.32447 #>  [57254]  99.98500 100.33444 100.03499 100.29955 100.03499  99.43842 100.18483 #>  [57261] 100.30454  99.80982 100.14989 100.03000 100.15987  99.76472  99.85990 #>  [57268]  99.78477  99.61928 100.30952  99.72462 100.27961 100.10494  99.97500 #>  [57275] 100.63797  99.96499  99.93998  99.98000  99.91496 100.04499  99.78477 #>  [57282] 100.37928  99.71459 100.04499 100.14490  99.90996 100.10494  99.73966 #>  [57289] 100.02500  99.74467 100.22974 100.12492  99.62429 100.23971 100.13491 #>  [57296] 100.34441 100.48881 100.14989  99.95499  99.72462 100.07997  99.55401 #>  [57303]  99.94999  99.40825 100.15987 100.25468 100.08996 100.21477  99.72963 #>  [57310] 100.32447 100.20479 100.21477 100.12992  99.99000 100.03999 100.07497 #>  [57317]  99.87492 100.25966 100.31451 100.10494 100.05998  99.63935 100.12492 #>  [57324] 100.00500 100.06998 100.27462 100.04999  99.84989 100.10994  99.53894 #>  [57331]  99.63935 100.14989 100.76706 100.18483  99.88994  99.54898 100.13491 #>  [57338]  99.83987  99.46356 100.22475  99.96499  99.73465  99.94999 100.38426 #>  [57345]  99.99000 100.21477 100.07497 100.25468 100.27961 100.22475 100.17984 #>  [57352] 100.22974 100.20479 100.27961 100.50871  99.71459 100.47885 100.28460 #>  [57359]  99.97500 100.24470  99.85990  99.83486 100.17485  99.75470 100.04999 #>  [57366] 100.16486 100.20479  99.76472  99.93998 100.45397 100.07497 100.05498 #>  [57373] 100.44899  99.64939  99.91997  99.98500  99.82986  99.95999  99.86491 #>  [57380] 100.10994  99.44848  99.59418  99.56907  99.81984 100.35437  99.45853 #>  [57387] 100.13491 100.31451 100.04999 100.38924 100.33942  99.83987  99.82986 #>  [57394] 100.21477 100.12492 100.35437  99.95499  99.54898  99.42334  99.70958 #>  [57401]  99.66945 100.35935  99.98500  99.70456  99.56405 100.20978  99.53894 #>  [57408]  99.56405 100.30454  99.80481 100.23472  99.89995 100.04999 100.45895 #>  [57415] 100.60815  99.80481 100.54850  99.69453 100.28958 100.28460 100.43904 #>  [57422]  99.92497 100.06498  99.79980  99.70456 100.33444  99.68952 100.17984 #>  [57429] 100.45895 100.51368  99.80982 100.36434  99.87492 100.01000 100.16986 #>  [57436] 100.35935 100.15488  99.73966 100.02500 100.29955  99.47864 100.07497 #>  [57443] 100.08496 100.09495 100.34939 100.07997  99.66444 100.40418  99.79479 #>  [57450]  99.97000 100.30952 100.01000 100.47885 100.09995  99.92998  99.69955 #>  [57457] 100.38924 100.24470 100.02000  99.48367 100.10994  99.92497 100.60318 #>  [57464]  99.66945  99.81984 100.30952 100.36434 100.24969 100.13990 100.01000 #>  [57471]  99.82485  99.84488 100.17485  99.89995 100.31451  99.59418 100.05998 #>  [57478] 100.22974  99.57911  99.81483  99.92497  99.99000  99.83486  99.77976 #>  [57485] 100.06998  99.64437 100.16486  99.65942 100.33942 100.28958  99.68952 #>  [57492] 100.37430  99.60924  99.93498 100.34939  99.86992 100.60318  99.95499 #>  [57499] 100.04499 100.04499 100.01500  99.68450 100.15488 100.25966  99.74467 #>  [57506] 100.53855  99.98000 100.22475  99.74467  99.75971  99.81483 100.10494 #>  [57513]  99.91496 100.27462 100.33942 100.16486 100.14490  99.99500  99.75470 #>  [57520]  99.70456 100.13990 100.09995  99.79479 100.03000  99.92497 100.58330 #>  [57527] 100.05998 100.41912  99.45853  99.46859 100.05498  99.88493 100.23472 #>  [57534] 100.56341 100.18982  99.48367 100.21976  99.87492 100.03000 100.30952 #>  [57541]  99.82986  99.62429  99.97000  99.67949  99.30760 100.09495 100.19980 #>  [57548]  99.70958  99.36297 100.23472 100.07997  99.61426  99.45351 100.20479 #>  [57555]  99.84488  99.62429 100.05498 100.14989  99.87993  99.26732 100.27462 #>  [57562]  99.93998 100.23472  99.58414 100.33942 100.27961  99.82485  99.79980 #>  [57569]  99.44345 100.04999 100.41414  99.82986 100.17984  99.46859  99.63935 #>  [57576] 100.22475  99.63433 100.10494  99.66945 100.18483  99.99000  99.75971 #>  [57583] 100.05998  99.88994 100.25966 100.01500 100.38924 100.09995  99.68450 #>  [57590]  99.86491  99.55903 100.19481 100.37430  99.69955 100.29955  99.80481 #>  [57597]  99.95999 100.24470  99.32271  99.86491 100.10494 100.30952 100.22475 #>  [57604] 100.14490  99.72462  99.71961  99.61928 100.26964 100.02500 100.60318 #>  [57611]  99.75971  99.67447  99.84989  99.62931  99.48869  99.99500 100.38924 #>  [57618]  99.99000 100.05498  99.73966  99.94498 100.43406 100.03999 100.50373 #>  [57625]  99.76973 100.21976  99.86992 100.38426  99.94498  99.83486 100.74225 #>  [57632]  99.80481  99.82986 100.29457  99.75971 100.08496  99.78978 100.39920 #>  [57639]  99.84989 100.13990  99.59418  99.75971  99.22197 100.29955  99.62931 #>  [57646]  99.86491  99.97000  99.98000  99.76472 100.14490  99.83486 100.21976 #>  [57653]  99.91997  99.82485  99.92998  99.92497  99.90495 100.43904 100.03000 #>  [57660]  99.77976 100.39422 100.44401  99.74467 100.14989  99.72963 100.03499 #>  [57667]  99.82485  99.84488  99.66945 100.02500 100.04499  99.85489  99.26732 #>  [57674]  99.84989  99.39316 100.00500  99.36297 100.04999  99.81984 100.13990 #>  [57681] 100.74225  99.74969 100.09495 100.06998  99.58414  99.40322 100.01000 #>  [57688] 100.09995  99.99500 100.20479 100.05998  99.95499 100.57336 100.22475 #>  [57695]  99.92998  99.87492  99.95999  99.59418 100.34939 100.25966 100.43904 #>  [57702]  99.73966  99.96499  99.93998  99.94498  99.74969 100.28958  99.72963 #>  [57709]  99.51884 100.16486 100.07497  99.89995 100.18483  99.53894 100.03000 #>  [57716] 100.05998 100.09995 100.23472 100.16986 100.51368 100.19481  99.54396 #>  [57723]  99.78978 100.33444 100.39422  99.75470  99.88994 100.13491 100.10494 #>  [57730] 100.40418  99.62931  99.75470  99.56907  99.89494  99.61426  99.89995 #>  [57737] 100.27961 100.03499 100.29955  99.64939  99.94999  99.98000 100.22974 #>  [57744] 100.29457 100.31451 100.58330  99.99000 100.03999  99.94999 100.08996 #>  [57751] 100.34441  99.49372  99.83987 100.40418 100.39422  99.93998  99.49372 #>  [57758] 100.60318  99.66945 100.36434  99.62429 100.01500  99.76472 100.01500 #>  [57765]  99.70958 100.74721 100.08996  99.84989 100.27961  99.84488 100.02000 #>  [57772] 100.14989 100.08496  99.86491  99.66945  99.87492  99.88493 100.21477 #>  [57779]  99.83486  99.85489 100.07997 100.10494 100.06998 100.11493 100.11993 #>  [57786]  99.97500 100.21976  99.64939  99.87492  99.92497  99.39316 100.14989 #>  [57793] 100.64790  99.70958 100.42908  99.76973  99.71961  99.27235  99.92497 #>  [57800] 100.62803  99.80982  99.93498  99.86992 100.71743 100.06998  99.41831 #>  [57807] 100.33942 100.24969 100.10494 100.33942 100.09995  99.57911  99.95499 #>  [57814]  99.93498  99.70958  99.93998  99.55903  99.72462  99.52387  99.89995 #>  [57821] 100.06998  99.82986  99.79479  99.77475 100.06498  99.86992 100.63797 #>  [57828]  99.63433 100.22475  99.77475 100.24470 100.46392 100.66777 100.02500 #>  [57835]  99.91496 100.40418 100.25966  99.81984 100.03000 100.14490  99.45853 #>  [57842] 100.07497 100.30952 100.18982  99.88493  99.75971  99.88493  99.93998 #>  [57849] 100.45895  99.63935  99.59920  99.89494 100.05498  99.81984 100.24969 #>  [57856]  99.90996 100.22475  99.49874  99.50377 100.26465  99.99000  99.97000 #>  [57863] 100.01000 100.54352 100.34441 100.45895 100.16486 100.30454 100.03499 #>  [57870]  99.67447 100.32447  99.66945 100.55347  99.86491  99.51382  99.74467 #>  [57877]  99.97500  99.67447  99.88994  99.92998 100.47388  99.50879  99.95499 #>  [57884] 100.04999 100.40418 100.11493  99.60422  99.97000  99.99000  99.93998 #>  [57891] 100.22974  99.42837 100.53855  99.64437 100.14989  99.84488 100.16986 #>  [57898] 100.05498  99.53894  99.84989 100.02500  99.91496  99.48869 100.19481 #>  [57905]  99.72462  99.95999 100.54352  99.95999  99.83486  99.87492 100.17485 #>  [57912] 100.04999 100.06498  99.49874  99.85489  99.70456  99.84989 100.15488 #>  [57919] 100.03000  99.82986 100.59324 100.14490  99.80982 100.04999  99.79479 #>  [57926]  99.93498 100.63797 100.39920 100.01500  99.79980  99.97500 100.28958 #>  [57933]  99.78477  99.85489  99.65942 100.31451 100.26465  99.76973  99.97500 #>  [57940]  99.92998  99.65942 100.44899  99.79980  99.96499 100.07997 100.14490 #>  [57947]  99.71459 100.34939  99.97500  99.64437 100.33444  99.98000 100.45397 #>  [57954] 100.43904  99.88994 100.33444  99.71459  99.41831  99.79980  99.98000 #>  [57961] 100.23472 100.00500 100.11993 100.30454  99.71459 100.19481 100.14989 #>  [57968]  99.65942 100.28958  99.72462  99.82986 100.11993  99.70958  99.61928 #>  [57975]  99.60924 100.12992  99.58414 100.45397  99.88994 100.02500  99.61426 #>  [57982]  99.86992  99.80481  99.72963  99.66444 100.45397  99.66444 100.10494 #>  [57989]  99.61928 100.11993  99.48367  99.62931 100.10994 100.08996  99.96499 #>  [57996] 100.20978  99.82485  99.90996  99.77976  99.75971 100.53855  99.81984 #>  [58003]  99.79980 100.01500  99.54396 100.11493  99.52387  99.87993 100.03000 #>  [58010]  99.69955 100.10994  99.93498  99.76973 100.48881 100.23971  99.72963 #>  [58017] 100.19980 100.17485 100.07497 100.40916 100.07497 100.12992 100.24470 #>  [58024] 100.17984 100.22475 100.21976 100.22475  99.91496 100.28958  99.73465 #>  [58031]  99.88493 100.28460 100.49876 100.52860 100.06498  99.81483 100.61809 #>  [58038] 100.01000  99.70958 100.17984 100.04499 100.30952 100.07997  99.64939 #>  [58045]  99.52387 100.44401  99.66444  99.91997  99.57409  99.92497  99.89995 #>  [58052]  99.65942 100.12492 100.34939 100.52363  99.46356 100.03999  99.42334 #>  [58059]  99.69955 100.43406 100.03000 100.00500  99.80982  99.61426 100.09995 #>  [58066] 100.11993 100.14989  99.62931  99.76973  99.92497 100.16486 100.03000 #>  [58073] 100.24969  99.50377 100.34441 100.15488 100.31949  99.87993 100.25468 #>  [58080] 100.15987 100.21976 100.12992 100.62803  99.99500  99.59418 100.04499 #>  [58087] 100.07997  99.95499  99.57911 100.32946  99.90996  99.77976  99.56405 #>  [58094] 100.34441  99.58916 100.04499 100.65784  99.87993 100.16986 100.26964 #>  [58101] 100.69757  99.92497 100.06998 100.01500 100.08496 100.39920 100.45397 #>  [58108] 100.46392  99.98500 100.13491 100.31451 100.23971  99.68952 100.32447 #>  [58115]  99.72462  99.77475  99.91496  99.97000  99.77475 100.34939 100.14490 #>  [58122] 100.31451 100.18982 100.53358 100.11493  99.57409  99.98500 100.08996 #>  [58129]  99.50879 100.16986 100.11493  99.77976  99.68450 100.12492  99.79479 #>  [58136]  99.91997  99.70456 100.09995 100.10494  99.78978 100.09995 100.44401 #>  [58143]  99.44345  99.87492  99.88994  99.69453  99.74969 100.20479  99.99000 #>  [58150]  99.91496  99.49874 100.01000  99.66945 100.00000  99.62931 100.14989 #>  [58157]  99.73465 100.08496  99.82986  99.84989  99.93998 100.04999 100.50373 #>  [58164]  99.91997 100.10494  99.71961  99.75470 100.28460 100.00500  99.57911 #>  [58171]  99.82986 100.46392 100.36932 100.24470 100.56341 100.59324  99.68450 #>  [58178]  99.98000  99.70958  99.93998 100.32447 100.12992  99.86992  99.83987 #>  [58185] 100.13990 100.12492 100.00500  99.90996 100.10994 100.09995  99.71961 #>  [58192] 100.30454 100.38924  99.98500  99.81483 100.26964  99.91997 100.20978 #>  [58199]  99.99500  99.98000  99.74467  99.71459 100.10494  99.89995 100.06998 #>  [58206]  99.96499  99.61426  99.95999  99.81483 100.28958  99.92497 100.35935 #>  [58213]  99.86992 100.03000  99.70958 100.46392  99.86992 100.32946 100.21477 #>  [58220] 100.06498 100.15987  99.97000  99.88493  99.72462  99.94498  99.98500 #>  [58227] 100.30952 100.48881 100.23472 100.35437 100.06498 100.12992  99.61426 #>  [58234]  99.99500  99.39819  99.77475 100.05498 100.13990 100.44899  99.80481 #>  [58241]  99.95499 100.10494 100.11993 100.43904 100.14490 100.39422  99.76472 #>  [58248]  99.83486 100.19980  99.93498  99.90495  99.86992 100.00500  99.67447 #>  [58255]  99.68450  99.49874 100.14490 100.05498 100.12992 100.19980  99.64939 #>  [58262]  99.78978  99.99500  99.56907 100.32946  99.79980  99.72462  99.70958 #>  [58269]  99.80982 100.03000  99.52889 100.40418 100.06498 100.26465  99.80481 #>  [58276] 100.09495 100.22475 100.42410 100.12492  99.72462 100.42410  99.61928 #>  [58283]  99.67949 100.20479 100.18982  99.82986 100.42410  99.91496 100.14490 #>  [58290]  99.29753  99.81483  99.59418  99.90996 100.30952  99.91496 100.09495 #>  [58297] 100.32447  99.76472  99.93498 100.13491 100.15488  99.47864 100.08996 #>  [58304] 100.01500  99.85489  99.84488 100.55844 100.01000  99.51382  99.43842 #>  [58311]  99.94498  99.61426  99.69955 100.38426  99.81984  99.85990  99.90495 #>  [58318] 100.18982 100.55844  99.67447 100.24969 100.08496 100.50871 100.09495 #>  [58325]  99.98500 100.23971 100.22974 100.30454 100.10494 100.09495 100.10994 #>  [58332] 100.22974  99.91496  99.61426 100.02500  99.59418  99.91496  99.82485 #>  [58339]  99.59418  99.80982  99.63935 100.16486  99.90996 100.09995 100.17485 #>  [58346]  99.85990 100.27961  99.90495  99.70958  99.76973  99.56907 100.19481 #>  [58353]  99.48869  99.70958  99.74969  99.61426  99.52889  99.66945 100.22974 #>  [58360] 100.39422  99.92497 100.04499 100.13990  99.87492 100.02500 100.69260 #>  [58367]  99.88493 100.17485 100.28460  99.55401 100.13990  99.28746  99.96499 #>  [58374]  99.99500  99.53391 100.13491 100.21477  99.89494  99.44848  99.76472 #>  [58381] 100.13990 100.27462 100.15987  99.87993  99.55401  99.84488 100.34441 #>  [58388] 100.37928  99.78978  99.86992 100.19481 100.03499  99.95499  99.67949 #>  [58395] 100.06998  99.68450  99.99000 100.15987  99.82986  99.75470  99.98500 #>  [58402]  99.80982 100.49378 100.26465  99.63935 100.15488  99.63433 100.49876 #>  [58409]  99.97500 100.27961 100.27961  99.55903  99.58414 100.39422  99.85489 #>  [58416]  99.71961 100.30454 100.03499 100.30454  99.62931  99.81483  99.53894 #>  [58423]  99.79479  99.93498  99.66444  99.83486 100.13990  99.52889  99.46356 #>  [58430] 100.22475 100.10994 100.37430  99.49372  99.87492  99.94999 100.86129 #>  [58437]  99.63433 100.30454 100.18483  99.81984 100.06998  99.60422  99.77475 #>  [58444] 100.09495 100.08996  99.71459 100.23971 100.35935 100.02000  99.68450 #>  [58451]  99.77475 100.33444 100.62306 100.22475  99.52387 100.11493 100.06498 #>  [58458]  99.74467  99.89995 100.02000 100.18483 100.33942 100.00000 100.29457 #>  [58465] 100.24470 100.33942 100.47388 100.15488  99.81483 100.00000 100.24969 #>  [58472]  99.65440 100.32946 100.22475  99.73966  99.92998 100.14490  99.73966 #>  [58479] 100.03499 100.19980  99.69955  99.68450  99.88493  99.59920 100.32447 #>  [58486]  99.76472  99.99000  99.79479 100.15987 100.41912 100.55844  99.89995 #>  [58493]  99.87492 100.07497 100.34441 100.02000 100.00500 100.41414 100.39422 #>  [58500]  99.75470  99.81483  99.65942  99.94498  99.92497  99.51884  99.76472 #>  [58507]  99.78978  99.92998 100.02500  99.51884  99.52387  99.86992 100.21477 #>  [58514] 100.17485 100.45895  99.83987  99.92998 100.36932  99.71459 100.60815 #>  [58521] 100.00000  99.79980  99.91496  99.80982  99.78978 100.02500 100.16986 #>  [58528]  99.95999 100.11493  99.83486 100.59821  99.54898  99.96499  99.99500 #>  [58535]  99.94999  99.75470  99.64939 100.14989 100.16486  99.55903  99.61928 #>  [58542] 100.14490 100.22974  99.86992  99.93998  99.93998 100.35935 100.24969 #>  [58549]  99.95499  99.82986 100.07997 100.18483 100.03499  99.95499  99.94498 #>  [58556] 100.24969  99.80982  99.62931 100.21976 100.35437 100.06998 100.54850 #>  [58563] 100.38426  99.30257  99.70456 100.33942  99.87993  99.79980  99.25220 #>  [58570] 100.10494 100.20978  99.86992  99.95999 100.23472 100.24470 100.28460 #>  [58577]  99.84989  99.78978 100.16986 100.10494 100.07497  99.66945 100.42908 #>  [58584] 100.10494  99.94498  99.94999 100.04499 100.02500 100.10994 100.01500 #>  [58591]  99.54898 100.25966 100.20978 100.54850 100.10994  99.37807  99.43842 #>  [58598] 100.38924 100.43904 100.29457 100.48881  99.58916 100.08496  99.84488 #>  [58605] 100.08996  99.70456 100.07997 100.37430 100.36434  99.65942  99.99500 #>  [58612] 100.28460  99.59418 100.32447 100.27462 100.19481  99.54396 100.40418 #>  [58619] 100.03499  99.72963 100.06498 100.00000  99.94999 100.17984  99.77976 #>  [58626]  99.92998  99.78477  99.88994  99.94999  99.76472  99.98500 100.04499 #>  [58633]  99.61928  99.71459  99.72462  99.95499  99.94498 100.25966 100.18982 #>  [58640] 100.01500  99.81483 100.17984 100.10494  99.92998  99.80481  99.72462 #>  [58647]  99.74969  99.79479  99.99000 100.03999 100.15987  99.98500 100.31451 #>  [58654] 100.22974  99.58414  99.99000  99.79479 100.15488  99.75971  99.80982 #>  [58661] 100.19980  99.95499  99.70958  99.55401 100.16486  99.88493  99.52889 #>  [58668]  99.62931 100.01500 100.32447 100.00000  99.88994  99.87993 100.25468 #>  [58675] 100.26964 100.33444  99.94999 100.58330 100.13990  99.84488  99.81984 #>  [58682]  99.91496 100.06498 100.28460  99.92497 100.04499 100.50871 100.66777 #>  [58689]  99.77475 100.51865  99.78477 100.28460 100.15987 100.20479 100.16486 #>  [58696]  99.87492 100.03000  99.92998  99.81984  99.85489 100.01000 100.23472 #>  [58703] 100.28460  99.71459 100.06498 100.27961 100.15488 100.10494 100.02500 #>  [58710]  99.75971 100.18483 100.13491 100.49378 100.58330  99.36297 100.04999 #>  [58717] 100.25966  99.84488 100.21976 100.08496  99.77475 100.03000 100.40916 #>  [58724] 100.08996  99.53894 100.06498 100.12492 100.55844 100.31451 100.38924 #>  [58731] 100.01000  99.84488  99.73465 100.09995 100.15987  99.97000  99.78477 #>  [58738]  99.48869 100.10494 100.27961  99.50377 100.19481  99.99500 100.07997 #>  [58745]  99.84989 100.09995  99.49372  99.89995  99.82485  99.95499  99.82986 #>  [58752]  99.48367 100.51368 100.10494 100.10994 100.03499  99.98500  99.95499 #>  [58759]  99.87993 100.01000  99.47864  99.88493 100.18483  99.53391  99.57911 #>  [58766] 100.07997  99.93498 100.44401 100.45397  99.86992 100.03000 100.27462 #>  [58773]  99.50377 100.20479  99.95999  99.77475  99.33277 100.47885 100.36932 #>  [58780]  99.59418  99.89494  99.95499 100.61312  99.79479 100.04499  99.87993 #>  [58787] 100.05998  99.73966  99.47864  99.52889 100.43904  99.81984  99.86992 #>  [58794]  99.55401  99.75470  99.67447 100.36932 100.36932  99.64437 100.14989 #>  [58801] 100.05498 100.08496  99.85489  99.63433 100.00000  99.98000 100.13990 #>  [58808]  99.92998 100.30454 100.04499 100.27462  99.28243  99.95499  99.76472 #>  [58815] 100.35935 100.46392  99.97000  99.88994  99.91496  99.90996 100.31949 #>  [58822] 100.40916 100.15987  99.90996 100.14490 100.02500 100.21477 100.01000 #>  [58829]  99.84989 100.24470 100.22475  99.96499 100.13990 100.04999 100.15987 #>  [58836] 100.50373 100.00500  99.98500  99.75971  99.97500 100.37928 100.30952 #>  [58843] 100.07997  99.99000 100.62306  99.56907  99.79479 100.26964  99.82485 #>  [58850]  99.33277  99.97000 100.68267  99.73966 100.10494  99.85489  99.84488 #>  [58857] 100.24969 100.31451  99.72462  99.76472  99.37807 100.07497  99.66444 #>  [58864]  99.91496 100.39422  99.79980 100.66777 100.11993  99.77475  99.91496 #>  [58871] 100.09495  99.66444 100.15488 100.10994  99.65440 100.16986 100.45895 #>  [58878] 100.47885 100.44401  99.50377 100.02500  99.46356 100.47885 100.09995 #>  [58885] 100.17984 100.16486 100.01500 100.39920 100.61809  99.19677 100.53358 #>  [58892] 100.00500 100.14989  99.78477 100.38924 100.12492  99.89995 100.13990 #>  [58899] 100.25966 100.38924  99.78477 100.03999  99.67949  99.86491  99.89494 #>  [58906]  99.94498 100.06498  99.92497 100.04499 100.07497  99.85990 100.13990 #>  [58913] 100.20978 100.28460  99.87492  99.40322 100.34939 100.15488  99.60422 #>  [58920]  99.82986 100.17485  99.74467 100.31949 100.09995 100.02500 100.28958 #>  [58927] 100.20479 100.38924 100.31451  99.55401 100.07497  99.99000 100.19980 #>  [58934] 100.49876 100.17485  99.84989  99.75470  99.97500  99.94999 100.15987 #>  [58941] 100.15987 100.80179 100.12492 100.48881  99.87492 100.09495 100.20978 #>  [58948]  99.98000 100.37928  99.95999  99.94999 100.34441  99.95499  99.90996 #>  [58955] 100.23472  99.81483 100.19481  99.91496 100.26465  99.77475  99.56907 #>  [58962] 100.30952 100.03999 100.42908 100.54850  99.85489  99.85990 100.21976 #>  [58969] 100.06498  99.91496 100.39920  99.97500 100.21976  99.48367 100.07997 #>  [58976] 100.18982  99.83987  99.72963  99.83486 100.20978 100.09995 100.09995 #>  [58983]  99.84989  99.75470 100.29955 100.07497 100.29457  99.85489  99.90996 #>  [58990]  99.98000 100.02500 100.36932  99.92497  99.73465 100.66280 100.20978 #>  [58997]  99.81984  99.74467  99.88493 100.37430  99.92497 100.50373 100.34939 #>  [59004] 100.10494  99.45853 100.53358  99.82986 100.25468 100.03499 100.52363 #>  [59011]  99.39819 100.16986  99.83486 100.00500  99.74467 100.08496  99.89494 #>  [59018]  99.89494  99.90996 100.01000  99.65942  99.25724  99.91997 100.03499 #>  [59025] 100.03000  99.77976  99.79479 100.18483  99.89995 100.39920 100.34939 #>  [59032] 100.67274  99.26228  99.85489 100.13491 100.16986 100.03000 100.36932 #>  [59039]  99.51884 100.33942  99.83486 100.02500 100.17984  99.60422  99.55903 #>  [59046]  99.50879 100.24969 100.52860 100.04499  99.99000 100.33942  99.97000 #>  [59053]  99.80982 100.02500 100.30952 100.18982 100.03000 100.15987 100.06998 #>  [59060] 100.05498  99.85489  99.92497  99.59418  99.99000  99.60422  99.99500 #>  [59067] 100.63797 100.08996  99.92497 100.07997  99.79980  99.59920 100.37430 #>  [59074] 100.20978 100.24470  99.80982 100.60318 100.67274  99.85990 100.17485 #>  [59081] 100.21477 100.10994  99.76973 100.53358  99.79980 100.29457  99.67447 #>  [59088] 100.20479 100.12992  99.97000  99.92998 100.54850 100.01000 100.00000 #>  [59095] 100.21976 100.22974  99.82986 100.08496  99.39819 100.50373 100.16486 #>  [59102] 100.44401  99.84989 100.02000  99.57911 100.12492  99.71459  99.74467 #>  [59109]  99.92497  99.37807  99.95499 100.70253  99.90996  99.99500  99.88493 #>  [59116] 100.12992 100.22475  99.84488  99.72963 100.13990  99.77976  99.85489 #>  [59123] 100.05998 100.10994  99.82485 100.34939 100.31451  99.76973 100.53358 #>  [59130]  99.72462 100.09995 100.11493  99.83987  99.83987 100.12992 100.55347 #>  [59137]  99.87492 100.33942 100.19980  99.91496 100.00500  99.58414  99.76472 #>  [59144]  99.94498  99.64437  99.59920  99.34787 100.28958 100.02500 100.51368 #>  [59151] 100.58330 100.17485  99.90495 100.41414 100.53358 100.17485  99.87993 #>  [59158]  99.58916 100.57833  99.98000  99.79980 100.25966 100.06498 100.36932 #>  [59165] 100.36434 100.51368  99.71961 100.24969  99.96499 100.25966 100.29457 #>  [59172]  99.97000 100.29955  99.36297  99.77475  99.66444 100.00000  99.61928 #>  [59179]  99.82485 100.03999 100.06998 100.58827 100.57833  99.74467  99.55903 #>  [59186] 100.06498  99.71961 100.20978  99.77976  99.72462 100.00000 100.01000 #>  [59193]  99.57409  99.74467 100.20978  99.98500 100.41912  99.63935  99.79479 #>  [59200] 100.24470 100.56838  99.84989 100.13491  99.81984  99.87993  99.90495 #>  [59207]  99.97500  99.96499 100.13491  99.92998  99.98500 100.25468 100.09995 #>  [59214]  99.92497 100.06998 100.51865  99.68450 100.40418  99.96499 100.33942 #>  [59221] 100.17984 100.23971 100.54352 100.05998  99.89995 100.03999  99.73966 #>  [59228] 100.33942 100.34939 100.15488 100.12992 100.03999  99.87993 100.02000 #>  [59235] 100.43904  99.61426 100.05498 100.46392 100.31949  99.73966 100.43406 #>  [59242]  99.42837  99.66444  99.85489 100.20479 100.05998 100.43904 100.13491 #>  [59249]  99.91496  99.76472 100.53358  99.80481  99.63935  99.76472 100.16986 #>  [59256] 100.15488 100.05998 100.17984 100.30952 100.01500  99.41831  99.97500 #>  [59263]  99.93998 100.36434 100.52860 100.28460  99.74969  99.64939 100.65287 #>  [59270]  99.83486 100.07497 100.13491  99.87492  99.54396  99.74969  99.45853 #>  [59277]  99.92998 100.02500 100.03499 100.29955 100.06498 100.25468  99.40322 #>  [59284]  99.49372 100.11493  99.81483  99.94498  99.74969 100.26465  99.84488 #>  [59291] 100.35437 100.30952 100.26465 100.05998  99.70958  99.84989  99.97000 #>  [59298] 100.22974  99.96499  99.95999 100.16986  99.76973 100.33942 100.25966 #>  [59305]  99.70958 100.25966 100.16986  99.55401 100.36434  99.51382  99.90495 #>  [59312] 100.37928  99.56405 100.21477 100.28460 100.17984  99.87993  99.98500 #>  [59319]  99.86491  99.76472  99.71961  99.75971  99.57409 100.14989 100.08496 #>  [59326] 100.31451 100.03000  99.85489 100.14490 100.39920 100.06998 100.40916 #>  [59333]  99.76973  99.42334  99.78978  99.73465 100.38426  99.78978  99.77976 #>  [59340]  99.74969 100.25966 100.14490 100.07497 100.53358  99.73966  99.95999 #>  [59347]  99.91997 100.36434 100.15987  99.68450 100.64293  99.76973 100.25468 #>  [59354]  99.70456  99.86491 100.47885 100.60318 100.19980 100.30952 100.18982 #>  [59361]  99.33277 100.22974 100.03499 100.41414  99.84989 100.39422 100.29955 #>  [59368]  99.81483  99.61928  99.90996  99.21693 100.25468  99.98000  99.69955 #>  [59375] 100.24969 100.10494 100.14989  99.55401  99.54898 100.06998 100.34441 #>  [59382]  99.58414  99.86491 100.73232  99.91496 100.25966  99.87993 100.37928 #>  [59389]  99.65440 100.03499 100.38426 100.06998  99.81984  99.46859  99.92998 #>  [59396]  99.90495 100.06998 100.07497 100.31451 100.38924 100.29955 100.45895 #>  [59403]  99.68952 100.16986  99.88493 100.32946 100.34441  99.57409  99.86491 #>  [59410]  99.76472  99.75971  99.83987 100.25468  99.95999 100.00000 100.14490 #>  [59417]  99.93498  99.97000  99.67949 100.33942 100.04999  99.88493 100.05498 #>  [59424]  99.40322  99.61928  99.50879  99.95999 100.33942 100.32946  99.94498 #>  [59431]  99.84488 100.03499  99.38813 100.27462 100.00000  99.80982 100.69260 #>  [59438]  99.93498  99.61928  99.88994 100.29457 100.32447  99.61426  99.34284 #>  [59445] 100.42908  99.28243  99.61426 100.07497  99.97500  99.88994  99.83486 #>  [59452]  99.87993  99.89995 100.09495 100.10494  99.96499 100.18982  99.46859 #>  [59459]  99.64939 100.00500 100.10494 100.11493  99.84488 100.11993  99.85489 #>  [59466]  99.90495 100.24969 100.29955 100.07997 100.08496  99.60422  99.72963 #>  [59473]  99.95999 100.02000  99.64939  99.74467  99.62429  99.83486  99.76973 #>  [59480]  99.71459  99.73966  99.97500 100.40418 100.57833 100.19980  99.68450 #>  [59487]  99.76472  99.99500  99.49372  99.70958 100.17485 100.30454  99.93998 #>  [59494] 100.43406 100.32447 100.06998 100.47885 100.31451  99.74467 100.26465 #>  [59501] 100.23971 100.09495 100.09495  99.59418  99.90996  99.79980  99.97000 #>  [59508] 100.11993  99.64939 100.37430  99.90996  99.96499 100.58827 100.08996 #>  [59515]  99.59920  99.48869 100.19481 100.06498  99.50879 100.43406 100.15488 #>  [59522]  99.63935  99.73966  99.80481  99.45351  99.69453 100.55347 100.04999 #>  [59529]  99.92497 100.35437 100.06998 100.47885  99.94999 100.22974 100.33444 #>  [59536] 100.28460 100.62306  99.81483 100.17984 100.03499 100.22974 100.28958 #>  [59543] 100.27462  99.94498  99.79479 100.33444 100.24969  99.72462  99.67447 #>  [59550] 100.60318  99.84488 100.30454 100.08996  99.75470 100.03000 100.01000 #>  [59557] 100.51368  99.70958 100.19481  99.58414 100.21477  99.68450 100.35935 #>  [59564] 100.48383 100.39920  99.32271  99.63935  99.68450  99.81984  99.92998 #>  [59571] 100.28460  99.60422  99.77475 100.18483  99.80982 100.35935  99.97500 #>  [59578] 100.06998 100.04499 100.12992 100.18483 100.27961 100.19980 100.18982 #>  [59585] 100.26465  99.99500 100.10494 100.08496  99.56405  99.66945 100.74225 #>  [59592] 100.29955 100.26465 100.26964 100.28958 100.06998  99.60422 100.30454 #>  [59599]  99.73966 100.13990 100.02500 100.06998 100.03499  99.82986 100.41912 #>  [59606]  99.75971  99.62429 100.12492  99.93498  99.95999 100.57833 100.30952 #>  [59613]  99.39316 100.05498 100.46890  99.59920 100.10494 100.29955  99.74969 #>  [59620]  99.92497 100.10494  99.76973  99.85990  99.72963 100.14490 100.04999 #>  [59627]  99.91997 100.14989  99.44848  99.50377  99.80982  99.89995 100.07497 #>  [59634]  99.90996 100.60815  99.93998  99.94498 100.43406  99.98000 100.05498 #>  [59641]  99.97500  99.93998 100.00500 100.09995  99.81984  99.97500  99.71961 #>  [59648] 100.38924  99.94999 100.07997 100.51865  99.53894 100.12992  99.65942 #>  [59655] 100.10994 100.11993 100.26964 100.94553  99.18165  99.68952 100.26465 #>  [59662]  99.85990 100.24969  99.76472 100.19481  99.86491 100.01500 100.27961 #>  [59669]  99.81483 100.23971 100.15488  99.62931  99.87993 100.43406  99.91496 #>  [59676]  99.84488 100.19980  99.69955 100.30454  99.98000 100.08996  99.77475 #>  [59683] 100.05998 100.00000  99.76472  99.78477  99.52387  99.79479  99.87492 #>  [59690]  99.87993  99.87492 100.25468  99.76973  99.98000  99.66945  99.78978 #>  [59697]  99.88493  99.66945 100.52363 100.28460 100.28460 100.07997  99.37303 #>  [59704] 100.37928  99.91997 100.01000  99.56907 100.36932  99.96499  99.78477 #>  [59711] 100.32946 100.27961 100.19481 100.15987 100.32447  99.82485 100.25966 #>  [59718]  99.78477  99.83987 100.03000  99.55903  99.78477 100.03999 100.16986 #>  [59725] 100.19481 100.10994 100.04999  99.99000 100.34939  99.52889 100.11493 #>  [59732] 100.11493  99.84989  99.76973 100.02000 100.32946  99.70456  99.50377 #>  [59739] 100.74721  99.58414  99.94498  99.75470  99.79479 100.16986 100.21477 #>  [59746]  99.44848  99.70456 100.04999 100.05498  99.96499 100.37928  99.92497 #>  [59753]  99.79980  99.78477 100.08996  99.88493 100.89103 100.68764 100.07497 #>  [59760] 100.10494 100.08496  99.82986  99.71961  99.81984  99.60422  99.85990 #>  [59767] 100.27961 100.21477  99.91496 100.03999  99.87993  99.92497 100.20479 #>  [59774] 100.41414  99.58414 100.03499  99.94498  99.80481  99.71961  99.64939 #>  [59781]  99.76973 100.07997 100.07497  99.74467  99.89995 100.13990  99.92998 #>  [59788]  99.60422 100.02000  99.31767 100.12992  99.84488  99.42334 100.23472 #>  [59795] 100.11993  99.84989  99.91496 100.10994  99.65942 100.43904 100.25468 #>  [59802] 100.04499  99.49874 100.43904 100.39920 100.04999 100.15488  99.52387 #>  [59809]  99.54898  99.75470  99.43339 100.27462 100.27961 100.02500  99.74467 #>  [59816]  99.96499  99.94999  99.74969 100.01500  99.69453 100.01000  99.90495 #>  [59823]  99.78477  99.89995  99.78978  99.97500 100.39422  99.76973 100.33942 #>  [59830]  99.94999  99.88994  99.93498  99.63433  99.62931  99.64437  99.94999 #>  [59837]  99.93998 100.49876  99.98000  99.86491 100.43406  99.68952  99.91496 #>  [59844]  99.97500 100.67274  99.92497  99.70456  99.84989 100.16486  99.47864 #>  [59851]  99.86491 100.20978 100.13491 100.20978  99.94498 100.07997  99.97000 #>  [59858]  99.76973 100.13491 100.04499  99.76973 100.55844 100.40916 100.35935 #>  [59865]  99.97500  99.40825 100.35437  99.97500 100.27961  99.92497  99.71459 #>  [59872]  99.80481  99.70958 100.37430  99.90996 100.17485  99.72963 100.19980 #>  [59879] 100.05498 100.41912 100.10994  99.78477  99.75971 100.17485 100.12992 #>  [59886]  99.87492  99.85489  99.73465  99.88493 100.13990 100.25468  99.67949 #>  [59893] 100.00500 100.05498 100.60815 100.19481  99.85489 100.07497 100.03000 #>  [59900]  99.64437 100.33444 100.33942  99.72963 100.04999  99.98000 100.07497 #>  [59907] 100.03999 100.31949  99.53894  99.94999  99.91997 100.11493 100.39422 #>  [59914] 100.40916 100.35437 100.21477 100.17485  99.96499  99.77976  99.98000 #>  [59921]  99.86491 100.60815  99.76472  99.90996 100.03999 100.00000 100.00000 #>  [59928] 100.10494  99.95499 100.27961 100.44401  99.76973 100.13990  99.86992 #>  [59935]  99.78477 100.09495  99.79980  99.23709 100.30454 100.14490 100.16986 #>  [59942]  99.33781  99.41328  99.88493 100.22475  99.36297 100.28958 100.06498 #>  [59949]  99.83987  99.95999  99.74467 100.42410 100.22974 100.24470  99.90495 #>  [59956] 100.00000  99.49874 100.15488  99.75971 100.01500  99.44345 100.03499 #>  [59963] 100.01500  99.41328 100.01000 100.30454 100.60318 100.27462 100.13990 #>  [59970]  99.66444 100.44899 100.30454 100.01000  99.71459 100.02500 100.01000 #>  [59977] 100.16486 100.35935 100.09995  99.69955 100.21477  99.38310 100.01500 #>  [59984]  99.97000 100.68764  99.98500 100.22475 100.22974 100.35437 100.01500 #>  [59991] 100.42410  99.88493  99.64939  99.53391 100.04499  99.76973  99.91997 #>  [59998] 100.16486 100.06498  99.97500 100.37928 100.21477 100.10994 100.37928 #>  [60005] 100.01000 100.22475  99.66945  99.72462 100.18483 100.22974  99.94999 #>  [60012]  99.60924 100.41414 100.09995  99.78477 100.16486  99.66444  99.97000 #>  [60019] 100.25966 100.33942  99.48367 100.03499  99.90495  99.73966 100.64293 #>  [60026]  99.65942 100.03499 100.13491  99.93998  99.83486  99.62931  99.66444 #>  [60033]  99.83486 100.00000 100.13491  99.44345 100.48881  99.50879 100.20479 #>  [60040] 100.17984 100.68764 100.34441  99.36297 100.03999 100.23472  99.90996 #>  [60047]  99.66945  99.91496 100.32447 100.55347 100.53855  99.76973 100.66777 #>  [60054]  99.82986 100.45895  99.89995  99.78477 100.15987  99.94999 100.45397 #>  [60061] 100.05998  99.86491  99.83987  99.75971  99.65942  99.85990  99.87993 #>  [60068]  99.97000 100.00500 100.56838 100.03000 100.09995 100.42410  99.97000 #>  [60075]  99.89995  99.99000  99.78477 100.26465 100.38924 100.13491  99.52387 #>  [60082] 100.08996 100.33942 100.11493 100.11493  99.85489 100.15488 100.24969 #>  [60089]  99.97000  99.82986  99.84488 100.43904  99.79479 100.10494 100.13990 #>  [60096] 100.05998  99.75971  99.62429 100.59821 100.05998 100.51368  99.99000 #>  [60103] 100.21477 100.22974 100.38426  99.94999  99.68952  99.98000 100.23971 #>  [60110] 100.04999 100.05998  99.97000 100.02500  99.58414  99.91496  99.81483 #>  [60117] 100.23472 100.34441 100.06998 100.22974 100.04499 100.03499 100.32946 #>  [60124] 100.23971 100.10494 100.31949 100.12992 100.28958 100.33444  99.88994 #>  [60131] 100.12992 100.16986 100.16986  99.97000 100.41912 100.00000 100.05998 #>  [60138] 100.22974 100.04999 100.02000 100.40418 100.11993 100.14490 100.20479 #>  [60145]  99.65440  99.75971 100.50871 100.39422 100.00000 100.32447  99.77475 #>  [60152]  99.61928 100.36434 100.26964  99.87492  99.61928  99.49372 100.66777 #>  [60159]  99.98500 100.21477 100.64293  99.67447  99.99000  99.91997  99.99000 #>  [60166]  99.70958 100.32946 100.11993 100.24470 100.17485 100.23971  99.94999 #>  [60173]  99.89995  99.57409 100.21976  99.97500 100.50871 100.37928 100.43904 #>  [60180] 100.04999  99.70958 100.21477  99.55401 100.11993 100.14490 100.36434 #>  [60187] 100.09495 100.44401  99.88994 100.01500 100.00500  99.93498 100.00500 #>  [60194] 100.30952 100.01000 100.15488 100.06498  99.80481  99.93998 100.25468 #>  [60201]  99.45351  99.65942 100.11493  99.88493 100.22475  99.92497  99.89494 #>  [60208] 100.54352 100.13491 100.06498 100.40418 100.57336  99.82986 100.19980 #>  [60215] 100.32447 100.07497 100.00500 100.11493  99.62429 100.29955  99.78978 #>  [60222] 100.43406  99.84989  99.84989  99.71961 100.03999  99.79980  99.74969 #>  [60229] 100.19980 100.18982 100.71246 100.07997  99.72462 100.37928  99.95499 #>  [60236]  99.76472  99.81984  99.89494  99.80982  99.68450  99.88994 100.31949 #>  [60243]  99.84488 100.05998  99.75971 100.02000  99.67949 100.21976  99.65440 #>  [60250] 100.26465 100.18483 100.09495 100.07997  99.83486  99.70456 100.42410 #>  [60257]  99.58916 100.19980 100.23971 100.59324 100.18982 100.05498  99.68450 #>  [60264]  99.77976 100.21477  99.73465  99.97000 100.50373 100.17984 100.20978 #>  [60271]  99.98500  99.98000 100.05998 100.00500  99.94498 100.06998  99.50377 #>  [60278]  99.97000  99.99500  99.66945  99.51382 100.18982  99.96499  99.52387 #>  [60285]  99.95999 100.18483 100.12992 100.25966 100.06998 100.32447  99.84989 #>  [60292] 100.06498 100.11493  99.95999  99.97500 100.36932  99.98000  99.99500 #>  [60299] 100.13491  99.53894  99.71961  99.67447 100.46392  99.44345  99.58414 #>  [60306]  99.58916  99.68952  99.78477  99.68952  99.94498  99.89995 100.18982 #>  [60313]  99.59920  99.49372  99.92998  99.64437  99.62931  99.53894  99.61928 #>  [60320] 100.14989 100.08996 100.02500 100.37430  99.73465 100.32447  99.93998 #>  [60327] 100.09495 100.40418  99.87993  99.90996 100.17485 100.32447  99.75971 #>  [60334] 100.33942  99.84488  99.98000  99.90495 100.04999 100.12492  99.91997 #>  [60341]  99.99000 100.01500 100.02500 100.02000  99.79980 100.04999  99.88493 #>  [60348]  99.38310 100.28958  99.46859 100.02500  99.86992 100.17984 100.16986 #>  [60355]  99.69955 100.20479 100.53358 100.16486 100.36932  99.57911 100.49378 #>  [60362]  99.89995 100.39920  99.70456  99.77475  99.85489  99.89494  99.96499 #>  [60369]  99.94498  99.82485 100.16486 100.02500 100.37430 100.29955 100.27462 #>  [60376]  99.58916  99.75470  99.99000  99.83987 100.15488  99.94999 100.30952 #>  [60383] 100.21477 100.09495 100.12992 100.43904 100.18483 100.24969  99.99000 #>  [60390] 100.29955 100.56341 100.09995  99.68952  99.90495 100.20978  99.91496 #>  [60397]  99.83987 100.21477 100.43904  99.77976 100.03999 100.00500 100.49378 #>  [60404]  99.88493 100.42410  99.57911  99.83987  99.79479  99.89995 100.14989 #>  [60411] 100.49876  99.83987 100.04499 100.05998 100.21976 100.09995  99.89995 #>  [60418] 100.76210 100.12492 100.07497  99.38310 100.36932 100.05998 100.38426 #>  [60425]  99.84989  99.67447 100.05498  99.82986  99.61928  99.72963 100.14490 #>  [60432]  99.84488  99.67447  99.91997 100.00000  99.58916  99.74969 100.28460 #>  [60439] 100.22974  99.81984  99.80481 100.13491 100.23472 100.06498 100.30454 #>  [60446]  99.97500  99.88994 100.05998 100.44401  99.75470 100.06998  99.93498 #>  [60453] 100.35437  99.75971 100.10494 100.15987 100.64293  99.88994 100.02500 #>  [60460]  99.99500  99.81483  99.72462  99.96499 100.65287  99.78477 100.32447 #>  [60467]  99.33277 100.37430  99.96499 100.00500 100.13491  99.90495  99.94999 #>  [60474]  99.77475 100.05998  99.98500 100.19980 100.31451 100.16486 100.03999 #>  [60481] 100.47388 100.33444  99.84989 100.44401 100.72735  99.81483 100.01500 #>  [60488] 100.15987 100.22974  99.74467  99.85990  99.89995 100.06998 100.43406 #>  [60495] 100.04999  99.65942  99.84488  99.71459 100.22475  99.77976 100.13990 #>  [60502]  99.60422 100.36932 100.50373 100.31949 100.14989  99.47864  99.78477 #>  [60509] 100.08496  99.93498 100.13990  99.92497 100.11993  99.98500  99.74467 #>  [60516]  99.91997 100.19980  99.76472  99.89494 100.30952 100.13990 100.18982 #>  [60523]  99.92497 100.37430  99.90495  99.95999 100.32447 100.15488 100.01000 #>  [60530]  99.27739 100.26964  99.80481 100.05498  99.86992 100.38924 100.10494 #>  [60537] 100.54352  99.60422  99.40322 100.14490  99.77475 100.08996 100.45397 #>  [60544]  99.80982  99.79479  99.65942 100.03999 100.02000 100.03000 100.06498 #>  [60551] 100.10494 100.68267  99.88493  99.60924  99.88994  99.89995  99.97500 #>  [60558] 100.15987 100.67274  99.82986 100.08496  99.95499  99.88994  99.71961 #>  [60565]  99.98000  99.97000 100.01000  99.87993 100.07997 100.13990  99.57911 #>  [60572]  99.45351  99.72462 100.25468  99.80982 100.15987 100.51368 100.18483 #>  [60579]  99.75470 100.34441 100.05498  99.78477  99.99500 100.27462  99.81483 #>  [60586] 100.01000  99.89494  99.97500 100.15488 100.11493 100.40916 100.14989 #>  [60593]  99.79479  99.80982 100.10994 100.27961  99.81483  99.81984  99.88493 #>  [60600]  99.65942 100.29457  99.89995 100.56838 100.27961  99.94498 100.13491 #>  [60607] 100.25468 100.40418  99.79980  99.80982  99.51884 100.23472 100.14989 #>  [60614] 100.22475  99.70958  99.87492  99.75971  99.98000 100.32447  99.60422 #>  [60621] 100.07497  99.94999 100.31949 100.45895 100.31949 100.30952  99.77976 #>  [60628] 100.15488 100.15987  99.84488  99.36297  99.70958 100.25966 100.53358 #>  [60635]  99.91997 100.09495 100.20479  99.77475  99.82485 100.22974 100.73232 #>  [60642] 100.14490 100.02000 100.03499 100.17984 100.04499  99.45853  99.59920 #>  [60649] 100.17984 100.37430  99.59920  99.99000  99.83987 100.08996  99.92497 #>  [60656] 100.00000  99.88493  99.54898  99.87993 100.84146  99.31264 100.23971 #>  [60663] 100.02000 100.09495  99.88994  99.93498  99.54396 100.25966 100.16986 #>  [60670]  99.81984 100.51865 100.23472 100.25468  99.81483  99.46859  99.86491 #>  [60677]  99.68450  99.55903 100.27462 100.50871  99.38813 100.05498 100.02500 #>  [60684] 100.21477  99.75971 100.23971 100.17984 100.30454  99.99000 100.12492 #>  [60691] 100.12992  99.58916  99.79980 100.28460 100.35437  99.94498 100.09995 #>  [60698]  99.77976  99.83486 100.20479  99.92998  99.75470 100.53855  99.55401 #>  [60705] 100.02500  99.81984 100.58330  99.78978  99.70456  99.89995 100.06498 #>  [60712]  99.87993 100.08496 100.05498  99.96499  99.99500  99.61928  99.81984 #>  [60719]  99.71459  99.64437  99.77475  99.63433  99.77475 100.02500  99.89494 #>  [60726] 100.08496 100.42908 100.32447 100.32946 100.55347 100.16986 100.39920 #>  [60733]  99.54396 100.19980 100.04499  99.34787  99.51382 100.04499  99.80481 #>  [60740] 100.05998  99.83486  99.66945  99.48869  99.81984  99.91997  99.76472 #>  [60747]  99.58414  99.74467  99.94498 100.31949  99.80481 100.08496  99.55401 #>  [60754]  99.97500  99.99500  99.83987 100.19481  99.69453  99.41831 100.34441 #>  [60761]  99.91997 100.01000 100.71743 100.14989  99.68952  99.86491  99.56907 #>  [60768]  99.38813 100.04999  99.93998 100.28460  99.93998  99.74467 100.04999 #>  [60775] 100.47388 100.08996 100.33444  99.92497  99.60924  99.76472  99.98000 #>  [60782] 100.18483  99.88994  99.95499  99.87492  99.91997  99.97500 100.03499 #>  [60789] 100.05998  99.84488  99.95999 100.44899  99.71459 100.03000  99.69453 #>  [60796]  99.45853  99.87993 100.42410  99.83486 100.28958  99.76973 100.19980 #>  [60803] 100.34441 100.00500  99.94999 100.00000  99.65942  99.77475 100.04999 #>  [60810]  99.22197 100.24969  99.88493  99.93998 100.09495 100.38924  99.94999 #>  [60817]  99.97000 100.45397 100.45895 100.40916  99.94498  99.62931  99.36297 #>  [60824]  99.72963 100.28958  99.91496  99.66945  99.92497  99.96499 100.26964 #>  [60831]  99.41328 100.28460 100.38924 100.17485  99.91997 100.15987  99.97000 #>  [60838] 100.15987 100.15987  99.96499  99.71459 100.02000  99.82986 100.27961 #>  [60845] 100.30952  99.95999 100.20978 100.00500  99.90495 100.23971 100.05998 #>  [60852]  99.78477 100.22974  99.99000 100.06998  99.73966  99.96499 100.22475 #>  [60859]  99.50879 100.34441  99.55401 100.26465 100.32447 100.06998 100.21477 #>  [60866]  99.46356 100.28958  99.89494 100.01500 100.00500  99.38310  99.61426 #>  [60873]  99.95499  99.35794 100.02500 100.07997  99.61928 100.05998 100.08496 #>  [60880] 100.34441  99.75971 100.12492  99.86491  99.86491 100.17485  99.44848 #>  [60887] 100.03499  99.99000 100.00500 100.24969 100.04499  99.90495  99.78978 #>  [60894]  99.87993 100.04499 100.17485 100.28460  99.91496  99.95999  99.92998 #>  [60901] 100.00000  99.36800  99.84989 100.00000  99.66444 100.19980  99.69955 #>  [60908] 100.34441 100.01000  99.69453  99.54396 100.35437 100.03499  99.66444 #>  [60915] 100.28958  99.94498 100.16986  99.80982  99.59920  99.46859  99.78477 #>  [60922]  99.95999 100.02000  99.74969 100.12992 100.21477  99.70958 100.03499 #>  [60929]  99.63935 100.13990  99.85990  99.38813  99.78978  99.95999  99.72462 #>  [60936] 100.18483 100.06998  99.81483  99.93998  99.74467 100.56838  99.90495 #>  [60943] 100.00000  99.94498  99.53894  99.74969  99.76472  99.60422  99.70456 #>  [60950] 100.31451 100.30952 100.17984 100.28460 100.36434  99.78978 100.16486 #>  [60957] 100.41414  99.83987 100.38426  99.36800  99.85489  99.71961 100.06998 #>  [60964]  99.63433 100.31451  99.62429 100.42908 100.41414  99.97000 100.09495 #>  [60971] 100.00000 100.25966  99.59418 100.68267 100.30454 100.37928  99.80982 #>  [60978] 100.14490  99.76973  99.48367  99.75971 100.44401  99.49874 100.34939 #>  [60985]  99.67949  99.75971 100.42908 100.60318 100.30952 100.69260 100.04999 #>  [60992]  99.91997  99.92497  99.88493  99.81984 100.37430 100.24470 100.27961 #>  [60999]  99.71459 100.12492 100.00000  99.82485 100.60318  99.80982  99.76472 #>  [61006] 100.04999 100.41912  99.91997  99.64437  99.90996 100.44401 100.39920 #>  [61013] 100.20479  99.72963 100.05998  99.73966 100.49876  99.72462 100.06498 #>  [61020] 100.26465  99.59418  99.71459 100.40916 100.02000  99.92497 100.01000 #>  [61027] 100.27462 100.13990  99.92998  99.99500 100.12492  99.87993  99.99500 #>  [61034] 100.20479  99.98000  99.79479  99.96499 100.12492 100.35437 100.03499 #>  [61041] 100.04999 100.29457 100.10494  99.77976 100.16486  99.96499  99.87993 #>  [61048] 100.30454 100.00000  99.74467 100.29955  99.76973 100.01500  99.98000 #>  [61055] 100.10994 100.49876 100.03000  99.95499  99.86992  99.79479 100.01000 #>  [61062]  99.97000 100.09995  99.91496 100.10994  99.42334 100.03999  99.95499 #>  [61069]  99.54396 100.23971 100.28460 100.09495  99.54898 100.23472  99.65942 #>  [61076] 100.19980  99.73465  99.76973 100.12492  99.65440  99.92497  99.97000 #>  [61083]  99.81483 100.15488  99.94498 100.35935 100.14989  99.51382  99.67447 #>  [61090]  99.50879 100.55347  99.74969 100.47885  99.72462 100.20479 100.06998 #>  [61097] 100.14490  99.42837  99.78978 100.08496 100.59324  99.54396  99.75971 #>  [61104] 100.23472 100.41912  99.92497  99.70456  99.87993  99.77475 100.04999 #>  [61111] 100.03999  99.84488 100.27961 100.43904 100.44401  99.67949  99.96499 #>  [61118] 100.04499  99.95999  99.76973  99.97000  99.98000  99.60422  99.75470 #>  [61125] 100.78194  99.63935  99.87492  99.00000 100.03499  99.73966 100.22974 #>  [61132]  99.85489 100.09495 100.32447 100.28460 100.45895 100.07497 100.17485 #>  [61139]  99.71961 100.06998 100.08996  99.95499 100.44401 100.14989 100.06998 #>  [61146] 100.36434 100.06498 100.57833 100.15987 100.23971 100.02000  99.81984 #>  [61153]  99.48367  99.82986  99.84989  99.84488 100.01500  99.65942 100.08496 #>  [61160]  99.69955  99.50377 100.22475  99.78978 100.10494  99.84989  99.48869 #>  [61167] 100.03000  99.81984  99.57911 100.18982 100.19481 100.56341 100.16486 #>  [61174] 100.65784 100.14490 100.19481  99.37303  99.61928 100.46392 100.04999 #>  [61181] 100.80675 100.24470 100.11493 100.33444  99.64437 100.15488  99.98500 #>  [61188] 100.07497  99.62429  99.85489 100.56341  99.97500  99.94498 100.30952 #>  [61195] 100.33444 100.66777 100.21976 100.28460  99.97000 100.09995 100.12492 #>  [61202] 100.39920  99.92998 100.74721  99.91496 100.34441 100.19481 100.01500 #>  [61209] 100.29457 100.04999  99.99500  99.66945 100.01500  99.48869 100.36434 #>  [61216]  99.75971 100.27462  99.97000  99.46356  99.55401  99.69955  99.77976 #>  [61223] 100.22475  99.70456  99.69955  99.67447  99.75971  99.69955 100.19481 #>  [61230] 100.53855  99.81984  99.87492  99.82485  99.89494 100.12992 100.33444 #>  [61237]  99.92998 100.10994  99.52889 100.38924 100.26465 100.46890  99.76973 #>  [61244]  99.95999 100.33942 100.29955  99.97000 100.05498 100.07997 100.08496 #>  [61251] 100.12492  99.94498 100.25966  99.79980  99.61426  99.76973  99.40825 #>  [61258]  99.98000  99.73966  99.84488 100.07497  99.78978  99.96499  99.83486 #>  [61265] 100.04999  99.69453 100.15987 100.04499 100.09495 100.19481 100.07997 #>  [61272] 100.20978 100.03499  99.88493  99.54396 100.06998 100.22974 100.13990 #>  [61279] 100.50373  99.54898 100.15488 100.14490 100.25966 100.10494  99.85990 #>  [61286]  99.83987 100.13491 100.33942 100.02500  99.46356 100.13990 100.00500 #>  [61293]  99.80982 100.63300 100.06498 100.07497  99.89995 100.13491  99.82485 #>  [61300]  99.83987 100.03999  99.92998  99.94498 100.57833  99.67447 100.12492 #>  [61307]  99.97500  99.68952  99.75971 100.02500  99.94498  99.82485 100.34441 #>  [61314]  99.90495  99.68952 100.46392 100.64790  99.90996 100.28958  99.61426 #>  [61321] 100.08496 100.30952 100.08496 100.51368 100.17485 100.12492 100.21976 #>  [61328]  99.64939  99.64437 100.35935  99.56405 100.13491  99.92497  99.87993 #>  [61335] 100.41414  99.76973 100.60318 100.16486 100.31451 100.22974  99.98500 #>  [61342] 100.29955 100.02000  99.90495 100.19980 100.50871  99.93998  99.78978 #>  [61349]  99.99000 100.20479  99.87492  99.72462 100.56838 100.28460  99.81483 #>  [61356] 100.03499 100.22475 100.22475  99.58414 100.60318  99.87993 100.19980 #>  [61363]  99.54898 100.38924  99.81984 100.14989 100.21976 100.16986  99.63935 #>  [61370] 100.24470 100.04999  99.74969 100.39920 100.36932 100.29457 100.02500 #>  [61377] 100.05998 100.11993  99.68952  99.70958 100.27462 100.22475 100.24470 #>  [61384]  99.91496 100.17984  99.63433  99.68952  99.99500 100.08996 100.14490 #>  [61391]  99.37303  99.81984  99.54898  99.64437 100.25966  99.97000 100.34939 #>  [61398] 100.14989  99.94999  99.47864 100.27961  99.61928  99.83486 100.38924 #>  [61405] 100.31451 100.33942  99.85990 100.23472  99.83486  99.99500 100.14989 #>  [61412] 100.23472  99.63433  99.91496  99.92998  99.63935 100.12492 100.11493 #>  [61419]  99.66444  99.81984  99.81483 100.05998  99.87993 100.83650 100.30454 #>  [61426] 100.14989  99.48367 100.18483  99.82485 100.20978  99.82485 100.19481 #>  [61433]  99.73465 100.05998  99.58916  99.72462  99.79479  99.62931 100.25966 #>  [61440] 100.31451 100.06998  99.89494  99.71459 100.34441  99.61928  99.85990 #>  [61447]  99.97500  99.77976 100.07997 100.26964  99.62931 100.39422  99.79980 #>  [61454]  99.56405 100.08496 100.72239  99.71459  99.87993 100.04499 100.04999 #>  [61461]  99.96499  99.70456  99.66444 100.12492 100.58827 100.09495 100.40418 #>  [61468] 100.49876 100.39422 100.25468  99.53391  99.94999 100.06998  99.89494 #>  [61475]  99.86491  99.51382 100.30454 100.13990  99.84488  99.86491  99.39819 #>  [61482]  99.28243  99.72462 100.23472 100.18483 100.27961 100.17485  99.86491 #>  [61489]  99.98500  99.52889 100.54850 100.17485  99.76973 100.77698 100.18483 #>  [61496] 100.14490 100.01000 100.13491 100.22475  99.40322 100.06498  99.69453 #>  [61503]  99.81483  99.53894 100.20479  99.81984 100.44401 100.69757 100.13990 #>  [61510] 100.07997 100.34441 100.51865  99.70958  99.96499 100.02000  99.93498 #>  [61517] 100.01000  99.89995 100.03000 100.52363  99.35794 100.04999 100.25468 #>  [61524]  99.92998 100.43904  99.88994 100.02000  99.99000  99.45853 100.06498 #>  [61531]  99.87492  99.82485  99.60924  99.70456  99.95499  99.46859  99.93498 #>  [61538] 100.22475 100.36932  99.88493  99.87492 100.08496  99.90495 100.68267 #>  [61545] 100.35935 100.77202 100.33942 100.25966 100.38924 100.09995 100.80675 #>  [61552]  99.82485 100.14989  99.96499 100.05998  99.96499  99.61426 100.03999 #>  [61559] 100.05998  99.88493 100.70253 100.03000  99.92998 100.41912 100.23472 #>  [61566]  99.70456  99.73966  99.71459 100.30952 100.07997 100.03499 100.11493 #>  [61573] 100.41414 100.68764 100.29955 100.23472 100.08496 100.01500 100.20978 #>  [61580]  99.83987  99.98000 100.29955 100.60815  99.58916 100.17984 100.03999 #>  [61587] 100.22475 100.60815 100.19481 100.40418  99.76973  99.90996  99.81483 #>  [61594]  99.53894 100.01000  99.67447  99.88493  99.64939 100.32447 100.16986 #>  [61601] 100.08996  99.99000  99.79479 100.01000 100.21976 100.06998 100.11993 #>  [61608]  99.59920 100.20479  99.84989  99.72462 100.27462  99.94999  99.72963 #>  [61615]  99.72462  99.31264  99.88493 100.65287 100.23971 100.03499 100.43904 #>  [61622]  99.40825  99.77976 100.23971 100.01500 100.11493 100.41414 100.53358 #>  [61629] 100.36434 100.12492  99.75971  99.63935 100.21477 100.22974 100.10994 #>  [61636]  99.42837  99.78477 100.23472  99.56907  99.83987 100.32946  99.80481 #>  [61643] 100.00000  99.54396  99.75971  99.94498 100.26964  99.84488  99.97500 #>  [61650]  99.72462 100.44401  99.75470 100.32946 100.33444  99.63935 100.17984 #>  [61657] 100.23472 100.44899 100.05998 100.23971 100.06498 100.21477 100.11493 #>  [61664]  99.76472  99.65942  99.82485 100.43406 100.41912  99.70958  99.91997 #>  [61671] 100.18483  99.86992 100.21976  99.98000  99.98500 100.09495  99.65440 #>  [61678]  99.51884  99.97500 100.44401 100.19481 100.07997 100.32447 100.06498 #>  [61685] 100.24470 100.53358 100.34441  99.95999 100.24470 100.02500 100.38924 #>  [61692]  99.86992 100.01500  99.71961 100.23472 100.12992 100.09495 100.09995 #>  [61699] 100.32946 100.30454  99.58414 100.67770 100.04999 100.48881  99.86491 #>  [61706]  99.88493 100.61312 100.12492 100.17984  99.77475 100.13990 100.49378 #>  [61713]  99.95999 100.19980  99.63433 100.03000  99.41328  99.62931 100.17984 #>  [61720]  99.95999 100.25468  99.90495 100.29457 100.44401  99.93998 100.26964 #>  [61727]  99.72462 100.07497  99.81984  99.92998 100.04999  99.98000 100.10994 #>  [61734]  99.71961  99.80982 100.12992  99.74467  99.92998 100.03000  99.92497 #>  [61741] 100.04999  99.60422 100.14989 100.14989  99.43339  99.78477 100.36932 #>  [61748] 100.37928  99.81984 100.34939  99.97500  99.68450 100.06998 100.43904 #>  [61755]  99.74969 100.36932 100.52363 100.20479  99.62931  99.84488 100.13990 #>  [61762]  99.87492 100.07497  99.84989  99.52387  99.80481 100.25468 100.01500 #>  [61769] 100.01500  99.64939 100.14989 100.22475  99.97500  99.71961 100.48881 #>  [61776] 100.05498 100.15987 100.23472  99.82986  99.91997 100.39422 100.15488 #>  [61783] 100.12492  99.86491  99.55401  99.72963  99.85489 100.27961 100.02500 #>  [61790]  99.82485 100.07997 100.02000 100.27462  99.98500 100.00000 100.22974 #>  [61797]  99.60924 100.34441 100.60318 100.09995  99.53894  99.81483  99.84989 #>  [61804] 100.33942  99.75470 100.20479 100.42410 100.13491 100.06498  99.97000 #>  [61811] 100.43904 100.37430  99.49874  99.66945  99.85489  99.99000  99.65440 #>  [61818]  99.92497  99.86491 100.63797 100.29955  99.70456  99.91997 100.15488 #>  [61825] 100.49876 100.14490  99.59418  99.63935  99.81984  99.49874 100.12992 #>  [61832]  99.82485 100.18483  99.93998 100.47885  99.76973  99.84989  99.88994 #>  [61839]  99.39316 100.25468 100.11993 100.16986 100.00500 100.17984  99.89494 #>  [61846]  99.95499 100.29457 100.43904  99.69453 100.23472 100.07497  99.77475 #>  [61853] 100.07997  99.72462  99.85489  99.99000 100.49876  99.61928  99.78477 #>  [61860]  99.92497  99.87492  99.99000  99.99000  99.83486  99.87993  99.84488 #>  [61867]  99.61426 100.03999 100.38924  99.76973  99.73465  99.92998  99.90996 #>  [61874] 100.33444 100.14490  99.83486  99.70958  99.64437 100.20978  99.64939 #>  [61881] 100.14989  99.54396 100.03999 100.63300  99.95499 100.07997  99.76472 #>  [61888]  99.59920 100.00000 100.14490  99.60924 100.18982  99.60924  99.44848 #>  [61895]  99.80982  99.92497 100.03499 100.05498 100.06998 100.01500  99.99500 #>  [61902] 100.25966  99.74467  99.91496 100.04999  99.56907  99.78477  99.98000 #>  [61909] 100.13990  99.87993 100.15987 100.09495 100.17485  99.59418 100.17984 #>  [61916]  99.81984  99.60422  99.98500  99.90495  99.92497  99.14131  99.66444 #>  [61923]  99.74969 100.03000 100.63797  99.62931 100.22475  99.88493  99.85990 #>  [61930]  99.99000 100.17984  99.94999  99.94498  99.80481 100.07497  99.76973 #>  [61937]  99.49874  99.66444  99.99500  99.94999 100.39920 100.10494 100.23971 #>  [61944] 100.39920 100.07997  99.57911 100.24969  99.98500  99.74467  99.26228 #>  [61951]  99.63935 100.05998  99.74467 100.03999 100.39422  99.63935 100.28460 #>  [61958] 100.17485  99.91997 100.32946  99.91997  99.93498 100.04499  99.57409 #>  [61965] 100.05998 100.65784  99.90996  99.52387  99.53391  99.99000  99.91496 #>  [61972] 100.19980  99.44345 100.17984 100.00500  99.66945 100.16486 100.31949 #>  [61979] 100.01000 100.25468  99.92497  99.91997  99.61426  99.86992 100.03000 #>  [61986]  99.59418  99.84488  99.85990  99.38813 100.04499 100.14490  99.97000 #>  [61993] 100.15987 100.11993 100.16486 100.01500  99.93498 100.13491 100.03000 #>  [62000] 100.42908  99.90996  99.55903  99.78477  99.98500 100.01500 100.23971 #>  [62007]  99.86992 100.70750 100.66777 100.60815 100.29457 100.17984  99.80481 #>  [62014] 100.07497  99.65440 100.37430  99.85489  99.88493  99.69955  99.74467 #>  [62021] 100.31949 100.09495  99.39316  99.70456  99.41831 100.02000  99.88493 #>  [62028]  99.90996  99.91496 100.16986 100.20978 100.01500 100.39422 100.46392 #>  [62035] 100.27961 100.05998 100.03499 100.54850 100.46392  99.86992  99.79479 #>  [62042]  99.97500 100.27961 100.26964 100.08496 100.15987  99.51884 100.10994 #>  [62049] 100.20978 100.33942  99.99500 100.22475  99.97000 100.11493  99.70958 #>  [62056]  99.98000 100.05498 100.09995 100.06498 100.29457 100.38924 100.05498 #>  [62063] 100.32447 100.15987 100.33444 100.00500  99.79479  99.90495  99.73966 #>  [62070] 100.20978 100.25468  99.67447  99.77976 100.06498 100.17485 100.32447 #>  [62077] 100.22974 100.30454 100.10994  99.75971 100.10494  99.79479  99.91496 #>  [62084] 100.21976 100.26964 100.23472  99.67949  99.80982  99.63935 100.35935 #>  [62091] 100.16486  99.65440 100.31451  99.89995 100.35935  99.90996  99.86491 #>  [62098] 100.20978 100.74721  99.72963 100.32946 100.34441  99.65942  99.92998 #>  [62105]  99.96499 100.22974 100.64293 100.48383  99.94999  99.90996  99.96499 #>  [62112] 100.35437 100.09495 100.04499  99.65942  99.89494 100.21976  99.66444 #>  [62119]  99.86992 100.18483  99.95499 100.02500  99.29250 100.12992 100.67274 #>  [62126]  99.98000 100.25966 100.01000  99.63433  99.56907  99.95499 100.01000 #>  [62133]  99.71459 100.21976  99.82485 100.28958 100.18483 100.73232 100.37430 #>  [62140] 100.00000  99.94498  99.63433  99.78978 100.21976  99.88493 100.42410 #>  [62147]  99.88994 100.07997  99.94498 100.20479  99.83987  99.95499  99.82485 #>  [62154] 100.31949  99.80982  99.94999  99.69453 100.08996  99.56405 100.35437 #>  [62161]  99.92998 100.06498 100.21477 100.20479 100.44401  99.82986 100.26964 #>  [62168]  99.93998 100.18483 100.15987 100.03499 100.26964  99.77976  99.77976 #>  [62175] 100.12492 100.20479 100.10494  99.98000 100.09995 100.12992 100.04499 #>  [62182]  99.75470  99.70958 100.31949  99.73465  99.98500 100.16986 100.51368 #>  [62189]  99.88493  99.86491 100.02500 100.14490 100.36434  99.92998  99.53391 #>  [62196]  99.91496 100.23472 100.19980 100.28460  99.33781  99.79980  99.60422 #>  [62203] 100.33942  99.84989 100.33942  99.66444  99.66444 100.28958 100.06998 #>  [62210]  99.61928  99.94498 100.07497 100.32946 100.10994 100.02000 100.30952 #>  [62217]  99.56405 100.27961 100.35935  99.81984  99.81483 100.15488  99.46356 #>  [62224]  99.33781 100.37430  99.83486  99.91496 100.05998  99.57409 100.17984 #>  [62231]  99.75470  99.63433  99.91997 100.36932 100.09495 100.07497 100.22475 #>  [62238] 100.36932 100.38924  99.61426 100.43406  99.74969  99.86491  99.52387 #>  [62245]  99.61426  99.94999  99.79479 100.05498 100.00500 100.50373  99.62429 #>  [62252]  99.89995  99.74467  99.92998 100.03000 100.33444 100.19980  99.66945 #>  [62259] 100.25468  99.51382 100.07997 100.43904 100.13990 100.36434  99.78477 #>  [62266] 100.09495 100.12992  99.88493 100.31949  99.80982  99.76973 100.20479 #>  [62273]  99.84488 100.29955 100.34939 100.27462  99.89494 100.26964 100.54352 #>  [62280] 100.13990  99.85489 100.01000  99.75470 100.81667  99.80481 100.11993 #>  [62287]  99.51884 100.45397 100.55347  99.93498  99.92998  99.75470 100.06998 #>  [62294] 100.11993 100.40418 100.06998  99.96499 100.04999  99.81984 100.18982 #>  [62301] 100.13491  99.85990 100.11993 100.45397  99.84989  99.78477 100.22974 #>  [62308]  99.70958  99.62429  99.78978 100.06498  99.75470  99.70958  99.53894 #>  [62315] 100.58330 100.13990 100.18483 100.47388 100.00500  99.64437  99.68952 #>  [62322]  99.87993 100.02000  99.75470 100.36434  99.79980 100.38924 100.10994 #>  [62329]  99.97000 100.32447  99.69453  99.81984 100.00500  99.66945  99.99000 #>  [62336]  99.97500  99.66945  99.66444  99.74467  99.92998 100.43904  99.95499 #>  [62343] 100.09995 100.13990 100.04999 100.26964  99.62931 100.26964 100.03999 #>  [62350]  99.36800  99.88493  99.79980 100.13491 100.14989  99.89494 100.13990 #>  [62357]  99.89494  99.56907  99.69955 100.11493  99.50879  99.75971  99.79980 #>  [62364] 100.12992  99.90495  99.95999 100.32946  99.86491 100.07497  99.86491 #>  [62371] 100.14490 100.17485  99.83987 100.31451 100.04999  99.97000  99.49874 #>  [62378]  99.37807  99.70456  99.75971 100.65784  99.79980  99.85990 100.01000 #>  [62385] 100.44401 100.12492  99.80481 100.18483 100.39920 100.23472 100.25468 #>  [62392]  99.95499  99.91997  99.84989  99.86491 100.44899 100.65287  99.69453 #>  [62399]  99.90495 100.07497 100.18483  99.71459  99.92998  99.76472 100.07497 #>  [62406]  99.69453 100.13990 100.60815 100.22475  99.90495  99.99000 100.83154 #>  [62413] 100.65784 100.07497  99.70456  99.84989  99.82986  99.87492  99.87492 #>  [62420]  99.85990 100.04499 100.54352 100.11993 100.57833 100.29457 100.21976 #>  [62427] 100.17485  99.46356 100.19481 100.18982 100.10994  99.64437 100.37430 #>  [62434]  99.94999 100.33942  99.80982 100.02500 100.04999 100.61809  99.77976 #>  [62441]  99.98500  99.87993 100.36434  99.77475 100.00500 100.25966  99.99000 #>  [62448] 100.11993  99.77475  99.75971 100.13990 100.08496  99.57409  99.92497 #>  [62455]  99.83486 100.46392  99.98500 100.07997  99.88994  99.48869  99.69955 #>  [62462]  99.83486 100.11993  99.99000  99.91496  99.99500 100.40418  99.78978 #>  [62469] 100.12492 100.46392 100.55347  99.91496  99.98500 100.25966  99.40825 #>  [62476]  99.98000  99.84488  99.86491  99.96499 100.16486 100.12992  99.70456 #>  [62483] 100.01000  99.89995 100.21976 100.19980  99.89494 100.59324  99.86491 #>  [62490] 100.39920 100.16986  99.83987 100.04499 100.23472 100.14490  99.77475 #>  [62497] 100.20479  99.82986  99.81483  99.80982 100.46890  99.67447 100.16486 #>  [62504] 100.13491  99.93498 100.11993  99.86491  99.66945  99.80982 100.22475 #>  [62511] 100.08496  99.97000  99.35794  99.96499  99.74969  99.94498  99.86491 #>  [62518] 100.02000  99.99000 100.56341 100.40916 100.18982  99.92497 100.45397 #>  [62525]  99.80481  99.93498 100.08496  99.93998 100.01000 100.25966  99.86992 #>  [62532]  99.69955 100.22974 100.47885  99.85990  99.96499  99.87993 100.37928 #>  [62539]  99.86992  99.69453 100.50373 100.27462  99.98000  99.86992 100.45397 #>  [62546] 100.22974 100.46392 100.44899  99.95999 100.12492 100.29457  99.91997 #>  [62553]  99.89995 100.04499 100.11993  99.97500  99.89995  99.60924  99.84488 #>  [62560]  99.98000 100.27961 100.41414 100.16986  99.74467  99.56907 100.05498 #>  [62567] 100.40418 100.03000 100.34441  99.54396  99.62429 100.05498  99.61928 #>  [62574]  99.92998 100.04999  99.56405  99.66945  99.90495 100.27961  99.87993 #>  [62581]  99.32271  99.80481 100.02500 100.00000  99.60924 100.73232 100.64293 #>  [62588] 100.32447  99.60924  99.94498  99.59920 100.30454 100.04999 100.00500 #>  [62595] 100.33444 100.14989  99.80982  99.80982 100.08996  99.94999 100.12992 #>  [62602]  99.75971 100.06998 100.44401 100.21976 100.23971  99.85489 100.48881 #>  [62609] 100.18483  99.86491  99.55401 100.04499 100.25468  99.93998  99.73465 #>  [62616] 100.66777  99.80982  99.83987 100.43406 100.35935 100.03999  99.95999 #>  [62623]  99.92998  99.86491  99.79980  99.58414 100.08996  99.90996 100.45895 #>  [62630]  99.47864  99.74969 100.57833  99.73465 100.21976  99.88994  99.60422 #>  [62637] 100.39422  99.43842  99.74467 100.33444  99.69955  99.78978 100.04499 #>  [62644] 100.24969  99.28746  99.94498  99.59418 100.06998  99.58916 100.32946 #>  [62651]  99.78978 100.34441 100.30454  99.64939  99.49372  99.76472 100.16986 #>  [62658]  99.72963 100.42908  99.81483 100.20978 100.11493  99.98000  99.67949 #>  [62665]  99.83987 100.28460 100.35935 100.36932 100.44401  99.40825  99.92497 #>  [62672]  99.84989 100.44401 100.20978  99.42334  99.74969 100.58330 100.01500 #>  [62679]  99.95999 100.23971  99.95999  99.53391  99.98500 100.05498 100.09495 #>  [62686]  99.73465 100.26964  99.88493 100.06498  99.90495  99.86491 100.16486 #>  [62693] 100.18982  99.78978 100.10994  99.76973  99.62429  99.89494  99.94498 #>  [62700]  99.99000  99.74969 100.37928  99.79980 100.60318 100.39920  99.72462 #>  [62707]  99.49874  99.95999 100.05998 100.11993 100.20479 100.03499  99.47864 #>  [62714]  99.82485  99.48367  99.82485 100.18483 100.73728 100.04499 100.16986 #>  [62721] 100.40916 100.08496 100.21477  99.91997  99.78477  99.93998 100.25468 #>  [62728]  99.46859  99.67949  99.77475 100.22974 100.34939 100.48383 100.31949 #>  [62735] 100.03499 100.13491 100.42410  99.93998  99.91997  99.60924  99.74969 #>  [62742]  99.71961 100.07997  99.85990 100.16486  99.95999  99.88493  99.89995 #>  [62749]  99.97500  99.90495 100.06498  99.49874 100.21477  99.91997  99.79980 #>  [62756]  99.82485 100.34939  99.78477 100.28958  99.57409  99.67949 100.27462 #>  [62763] 100.21976  99.69955 100.10494  99.96499  99.69955  99.66945  99.37303 #>  [62770] 100.01500  99.97000 100.32447  99.89494  99.82986  99.92998 100.40418 #>  [62777] 100.11493 100.12492  99.66444 100.30454 100.31949  99.88994 100.69260 #>  [62784] 100.08996 100.04499  99.87492  99.58916 100.59821  99.86992  99.87492 #>  [62791]  99.56405 100.27462 100.03000 100.04999 100.27462  99.84488 100.22475 #>  [62798] 100.04999 100.09495  99.95999 100.26465 100.18982 100.46890  99.84989 #>  [62805] 100.06498 100.03499  99.97000 100.38426 100.03999 100.19980  99.74969 #>  [62812]  99.52889  99.57911 100.10494 100.21477  99.79479 100.11993 100.23472 #>  [62819]  99.92998  99.88493 100.19481  99.76973 100.39422 100.36932 100.16486 #>  [62826]  99.99500 100.54352  99.40322 100.07497 100.11493 100.19980  99.70456 #>  [62833] 100.25468 100.11993  99.64939  99.70958 100.28460  99.82485 100.37928 #>  [62840]  99.87492 100.19481 100.10494  99.85489 100.23971  99.79980  99.61928 #>  [62847]  99.92497 100.20978  99.69453 100.52363 100.15987  99.48367  99.59418 #>  [62854]  99.70456  99.97500  99.66945  99.64939 100.19481  99.88994 100.07497 #>  [62861] 100.28460  99.90996 100.11493 100.50373 100.34939  99.71961  99.96499 #>  [62868]  99.64437  99.62931  99.76973 100.22974  99.88994 100.08996  99.67447 #>  [62875] 100.51865 100.43406 100.20978 100.17984  99.81984 100.29457 100.20479 #>  [62882]  99.69453 100.53358  99.68952 100.57336 100.25468 100.08496 100.08996 #>  [62889]  99.86491 100.10994 100.57833 100.46890  99.80982  99.99500  99.90996 #>  [62896]  99.63433 100.54352 100.26964 100.19980 100.14490  99.88493 100.21477 #>  [62903]  99.81483  99.84488  99.82485  99.97000  99.58916 100.13491  99.71459 #>  [62910] 100.01000 100.14989 100.27961 100.20479 100.06998  99.91997 100.05998 #>  [62917] 100.39920  99.48869  99.63433 100.17984 100.28460 100.25468 100.22475 #>  [62924] 100.21477  99.58916  99.92497 100.12492 100.02500 100.08996 100.49378 #>  [62931] 100.30952 100.32447 100.60815  99.46859 100.23472 100.00000  99.37303 #>  [62938]  99.97000  99.84488  99.90495 100.14490  99.84488  99.86491 100.03499 #>  [62945] 100.03999  99.99500  99.36297 100.24470  99.79980 100.17984 100.01500 #>  [62952] 100.16986 100.05998 100.12992  99.79980  99.96499 100.25468  99.88493 #>  [62959]  99.62429 100.28460  99.80481 100.24969  99.96499  99.98500 100.04499 #>  [62966] 100.36932  99.85990  99.66444 100.21976  99.91997 100.70253 100.03499 #>  [62973] 100.11493 100.14989  99.54396 100.35935  99.74467  99.91997 100.45397 #>  [62980] 100.05498 100.05998  99.99500  99.67447  99.94999 100.26964  99.94999 #>  [62987]  99.89494 100.02000 100.59324  99.93998 100.09995  99.63935 100.36932 #>  [62994]  99.89494 100.29457 100.22475 100.31949  99.97000  99.57911 100.10994 #>  [63001] 100.46890  99.85489 100.60815 100.18982  99.90996  99.90495 100.41912 #>  [63008]  99.56405  99.89995  99.69955 100.21976  99.95999 100.07997 100.34441 #>  [63015]  99.88493 100.18982 100.47885  99.69955 100.46890 100.32946  99.67949 #>  [63022] 100.45397 100.26465  99.90495 100.16986 100.21976  99.65440 100.16486 #>  [63029] 100.35935  99.63433 100.39422 100.14989 100.16486  99.92998  99.80982 #>  [63036] 100.08996 100.31949 100.20978  99.81984  99.94498 100.22974 100.52363 #>  [63043]  99.88493  99.77475  99.88994  99.95499 100.29457 100.08496 100.37928 #>  [63050] 100.03999  99.90495 100.43406 100.11493  99.97500  99.94498  99.71459 #>  [63057] 100.02000  99.57911 100.12492  99.77976  99.33277 100.21976  99.73966 #>  [63064]  99.49372 100.45895  99.92998  99.85489 100.23971  99.77976 100.03999 #>  [63071]  99.74969 100.40916 100.13990 100.34441  99.61426  99.84488  99.77976 #>  [63078]  99.86491  99.79479 100.36434 100.52363 100.01000  99.60924  99.72963 #>  [63085]  99.95499 100.49876  99.71961 100.44899  99.81483 100.65784 100.05998 #>  [63092]  99.88994  99.62429 100.03499  99.91997  99.45351 100.11493 100.01000 #>  [63099] 100.05498 100.01500 100.35935  99.76472 100.31949  99.57409  99.95499 #>  [63106] 100.22475 100.11493 100.01500  99.67949  99.72462  99.99500  99.73966 #>  [63113]  99.94498 100.03999  99.95999  99.93498  99.98000 100.70253  99.57409 #>  [63120] 100.44401 100.04999  99.62429 100.13990  99.86992  99.68952  99.50879 #>  [63127]  99.72963  99.83987 100.15987  99.73966 100.43406 100.34939 100.09495 #>  [63134]  99.90495  99.48869  99.68952 100.24470 100.11993 100.32447  99.93998 #>  [63141] 100.11993 100.11493 100.01000 100.13491  99.47864 100.03000  99.81483 #>  [63148]  99.69453 100.53358  99.83486  99.78978 100.29955 100.03499 100.46890 #>  [63155] 100.07997 100.10494 100.06498 100.36434 100.16986  99.48367  99.67447 #>  [63162]  99.98000 100.30952 100.16486  99.97500  99.81984 100.03999  99.88994 #>  [63169] 100.03499  99.48367 100.34441 100.16986 100.46890  99.61928 100.19481 #>  [63176] 100.23971 100.17984 100.26964  99.85990  99.90495  99.85990 100.22475 #>  [63183] 100.10494  99.80481  99.71961 100.18483 100.14989  99.39819 100.41414 #>  [63190] 100.24969 100.20978  99.62429 100.17984  99.82485 100.12992 100.04499 #>  [63197]  99.94999 100.13990 100.01500  99.77976 100.05498  99.93998  99.78978 #>  [63204]  99.95999 100.20978  99.86491  99.89995 100.23971 100.70253 100.07497 #>  [63211]  99.78477 100.49876 100.23971  99.90495 100.60318 100.38426  99.67949 #>  [63218] 100.12492 100.02500  99.79479 100.28958 100.24969  99.99500  99.93498 #>  [63225]  99.99500 100.13990  99.68952  99.67949 100.03499 100.29955 100.16486 #>  [63232]  99.54898 100.22475  99.53894 100.29457 100.07997 100.00500  99.93998 #>  [63239] 100.21976 100.03000 100.42410 100.20978  99.41831  99.85990  99.84488 #>  [63246] 100.01500 100.19980 100.21477  99.92998 100.24470 100.02500 100.03000 #>  [63253] 100.18483 100.43406 100.23971  99.67447  99.90996 100.12492  99.91997 #>  [63260] 100.01000  99.88994  99.85489 100.04999  99.92998  99.56405 100.52363 #>  [63267]  99.26228  99.56907 100.55844 100.16986 100.00500  99.67447 100.10994 #>  [63274]  99.85990  99.61426  99.93998 100.09495  99.72462 100.48881 100.35437 #>  [63281]  99.99500 100.24969  99.55903  99.98000 100.34939 100.39422  99.74467 #>  [63288]  99.99500  99.93498 100.18483 100.59324 100.00500  99.91997 100.14989 #>  [63295]  99.95999  99.96499  99.90495 100.18982 100.27961 100.11493 100.16986 #>  [63302] 100.04499  99.63433 100.11493 100.40916 100.25966  99.68450  99.84989 #>  [63309]  99.67949  99.87993  99.55401  99.97000 100.38426  99.91997  99.90495 #>  [63316]  99.71961  99.92497  99.86992 100.21477 100.04499  99.45853 100.18982 #>  [63323] 100.25468 100.01000  99.96499  99.81984  99.82986 100.31451 100.52363 #>  [63330]  99.89494  99.97000  99.70958  99.87492 100.23472  99.71961  99.99500 #>  [63337]  99.96499 100.26465 100.03999 100.31451 100.00000 100.15987 100.10994 #>  [63344]  99.91997  99.74467  99.76472  99.72462  99.69955  99.72462  99.86491 #>  [63351] 100.22475 100.11493  99.37303  99.90996  99.82986  99.94999  99.75971 #>  [63358] 100.07497  99.98000  99.79479  99.74467  99.81483 100.20479 100.00000 #>  [63365]  99.94999 100.43406 100.29955  99.72462  99.67447  99.95999  99.88493 #>  [63372] 100.67770 100.02500 100.17984  99.86491 100.23472 100.02500 100.21477 #>  [63379] 100.15488  99.99000  99.76472 100.02000 100.50373 100.09495 100.18982 #>  [63386]  99.83987  99.84989 100.21477  99.81984  99.52387  99.75470 100.36434 #>  [63393] 100.15987  99.47864  99.97000  99.94999  99.79980 100.18483 100.06998 #>  [63400] 100.19980  99.99000  99.84989  99.85489 100.83650 100.14989  99.65942 #>  [63407] 100.03000  99.67949  99.83987 100.30454 100.34441  99.55903  99.86992 #>  [63414] 100.11993 100.18483 100.05998  99.35794  99.90996  99.98500 100.42908 #>  [63421] 100.09495 100.58330 100.37430 100.10494 100.12992 100.08496  99.88994 #>  [63428]  99.78477  99.37303  99.91997  99.66945 100.27462  99.68450  99.77976 #>  [63435] 100.04499  99.99000  99.66444 100.00000 100.08996 100.15488 100.58827 #>  [63442] 100.13491 100.11993 100.42908  99.80481 100.55844 100.07997 100.31451 #>  [63449]  99.93998 100.30454 100.64790  99.96499  99.99500  99.65942  99.98500 #>  [63456] 100.42908 100.25966 100.10994  99.85990 100.35437  99.93998  99.56405 #>  [63463] 100.17984 100.12992 100.07997  99.50879 100.15987  99.88493  99.57409 #>  [63470] 100.44899 100.03000  99.60422  99.50879 100.56838  99.75971 100.03999 #>  [63477] 100.14490 100.23472  99.50377 100.06498 100.14490  99.92998  99.99500 #>  [63484] 100.08996 100.05498  99.89494 100.14490 100.12492  99.43339  99.79479 #>  [63491] 100.19481  99.74969 100.08996 100.03000 100.26465  99.81984 100.20978 #>  [63498]  99.68952 100.24470 100.06498 100.07497 100.07997 100.35437 100.17984 #>  [63505]  99.90495  99.90996 100.00500 100.22475  99.89995 100.24969  99.84488 #>  [63512]  99.96499 100.25468  99.94498  99.94999 100.35935  99.94999 100.04999 #>  [63519]  99.59418 100.16986  99.70958 100.02000 100.13990  99.65440  99.65440 #>  [63526] 100.32946 100.38426  99.95999  99.43339  99.65942 100.10994 100.04499 #>  [63533] 100.08996 100.31949 100.10994  99.88493 100.03999  99.98500  99.94498 #>  [63540]  99.97500 100.40418 100.10494  99.62931 100.12992 100.25966 100.17485 #>  [63547]  99.81984 100.17984  99.86992 100.24470  99.96499 100.35935 100.40418 #>  [63554]  99.71961  99.60924  99.79980 100.32946 100.25468 100.13491  99.95499 #>  [63561]  99.92998 100.06998 100.00500 100.09495  99.81483 100.60815 100.68267 #>  [63568]  99.89995 100.26465 100.02000  99.71961 100.08996  99.93498  99.64939 #>  [63575]  99.68952 100.12992 100.12492  99.67949 100.59821  99.90996 100.11493 #>  [63582] 100.26964 100.26465 100.46890  99.83987  99.73966 100.12992  99.66945 #>  [63589] 100.07497  99.83987  99.79479 100.03000 100.45895  99.83486  99.69955 #>  [63596]  99.44345  99.71459 100.24969  99.84989 100.05498  99.78477 100.15987 #>  [63603]  99.99000 100.54850 100.23472 100.21976 100.56838  99.77475  99.58414 #>  [63610] 100.02000  99.67447  99.95999 100.41912 100.33444 100.18483  99.84488 #>  [63617]  99.69453  99.66945  99.22701  99.34284  99.29753  99.97500 100.28958 #>  [63624]  99.58916 100.37430 100.14490 100.64790  99.26228 100.26964  99.65440 #>  [63631] 100.76210  99.77976  99.69955 100.30952 100.04999 100.04999  99.98000 #>  [63638] 100.20978 100.23472  99.93998  99.76472  99.79479  99.98500  99.75971 #>  [63645] 100.18982  99.99000 100.65784  99.91496  99.84488  99.96499 100.18982 #>  [63652]  99.64939 100.20978  99.82986  99.90495  99.89494 100.03999  99.79980 #>  [63659] 100.29457  99.22197  99.61426  99.85489 100.56838  99.75971 100.13990 #>  [63666] 100.20479 100.00000 100.17984  99.67447 100.39422 100.31451  99.98500 #>  [63673]  99.94999 100.23472  99.84488  99.68450 100.31949 100.51865  99.62931 #>  [63680] 100.04499  99.89494 100.17984 100.72239 100.14490 100.01500 100.37928 #>  [63687]  99.65942  99.69955  99.80481 100.22974  99.69453  99.97000  99.80481 #>  [63694] 100.18483 100.57336  99.68450  99.74467 100.17984  99.91997 100.00500 #>  [63701]  99.88493 100.64790  99.86491 100.14989  99.44848 100.22475 100.37430 #>  [63708] 100.08996  99.36800  99.86992  99.85489 100.17485 100.21976 100.01000 #>  [63715] 100.10994 100.04999  99.82986  99.84488  99.92497 100.29457  99.97000 #>  [63722]  99.82986  99.91496  99.70958 100.12492  99.98000 100.62306 100.25468 #>  [63729] 100.21976  99.65942  99.98000  99.64437 100.06998 100.14989  99.62931 #>  [63736] 100.14490 100.51368 101.00000 100.06498 100.66777  99.84488 100.14490 #>  [63743] 100.03499 100.40418  99.99000  99.75971 100.33942  99.91496 100.25966 #>  [63750]  99.76472  99.98500  99.72963 100.04999 100.32946 100.18483 100.06498 #>  [63757] 100.17485 100.40418  99.75470  99.82986 100.11993  99.46356 100.26465 #>  [63764] 100.32447 100.69757  99.53894  99.39819 100.17485  99.66444  99.54396 #>  [63771]  99.76973 100.05998 100.48383  99.68952 100.29457 100.32447 100.06998 #>  [63778]  99.85990  99.66444  99.88493  99.78477  99.83987 100.20479 100.19980 #>  [63785] 100.03999  99.95999  99.95999  99.50879 100.42908 100.07997  99.62931 #>  [63792] 100.12992  99.92497  99.42837 100.57833 100.10494  99.70456 100.31949 #>  [63799] 100.24470  99.75470 100.11993 100.02500 100.33942 100.03000  99.72462 #>  [63806] 100.39920 100.11993 100.35437 100.05998  99.76973  99.65440 100.00500 #>  [63813] 100.50373 100.41414 100.15488 100.00000 100.33942  99.83486  99.75971 #>  [63820]  99.53894 100.30454 100.14490 100.12492 100.31949  99.84989  99.95499 #>  [63827]  99.73465  99.49372  99.72462 100.38426  99.82485 100.02500 100.21976 #>  [63834]  99.71459  99.81984 100.62306 100.10994  99.21693  99.86491 100.55844 #>  [63841] 100.48881 100.03499 100.18483 100.14989 100.21477  99.46356  99.83486 #>  [63848] 100.16486 100.09995 100.24470 100.02000 100.52860 100.34441 100.35935 #>  [63855]  99.88493 100.00000  99.67447  99.69955  99.71961 100.13990 100.10994 #>  [63862]  99.35291 100.05498  99.98500 100.56838 100.08996  99.76973 100.13990 #>  [63869]  99.56907 100.20978 100.70253  99.95999  99.51382  99.95499 100.24969 #>  [63876]  99.82986 100.14989 100.48383  99.90495  99.48367 100.24470  99.40825 #>  [63883] 100.01500 100.40418 100.19481 100.35437  99.88493 100.31451 100.25966 #>  [63890] 100.26465 100.44899  99.96499 100.25966 100.24470  99.88493 100.04499 #>  [63897] 100.11493 100.06998 100.36434 100.44401  99.92998 100.32447 100.03499 #>  [63904]  99.73465 100.30454  99.42837 100.44899 100.03499  99.61426 100.05498 #>  [63911]  99.43842  99.90996 100.24470 100.32447 100.31949 100.26964  99.79980 #>  [63918]  99.84989 100.17485  99.87993 100.47885  99.55903 100.06998 100.25966 #>  [63925] 100.23971  99.85489  99.59418  99.69955 100.10494  99.99000  99.86491 #>  [63932]  99.86992  99.52387 100.29457  99.89995  99.66444  99.92998  99.57409 #>  [63939]  99.82485  99.64437 100.13491 100.45895  99.66945  99.80481  99.91997 #>  [63946]  99.80481  99.95499 100.05498  99.98500  99.42334 100.02000 100.29955 #>  [63953] 100.22475  99.68450  99.75971 100.03000  99.90996 100.57336  99.77475 #>  [63960] 100.24470  99.62429 100.03499  99.66945 100.26964  99.60924 100.32946 #>  [63967]  99.76973  99.86992 100.55347 100.05998  99.53894  99.72462 100.14490 #>  [63974] 100.67770  99.51382 100.37928 100.13491 100.14490 100.02500 100.15987 #>  [63981] 100.20978 100.46890  99.90495  99.88493  99.37303 100.14989  99.42837 #>  [63988]  99.90495 100.32447  99.76973  99.76973 100.54850  99.79980  99.53894 #>  [63995] 100.21976  99.75470 100.06498 100.43406  99.66945 100.03999 100.35437 #>  [64002]  99.79980  99.51884  99.96499  99.77475 100.45397  99.94999 100.20479 #>  [64009] 100.31451 100.02500  99.98000  99.79980 100.08996 100.28958  99.71961 #>  [64016]  99.42334 100.07497 100.15488  99.49874  99.79980 100.17984  99.93998 #>  [64023]  99.82986 100.49378  99.92998 100.23971 100.04499  99.62429  99.92998 #>  [64030] 100.21976 100.29955  99.99500  99.79479  99.51382  99.32774  99.92497 #>  [64037]  99.76472  99.72963  99.82986 100.30454 100.34441  99.80481 100.43904 #>  [64044]  99.42334 100.28958 100.03999 100.05998 100.34939  99.99000 100.37928 #>  [64051]  99.86491  99.50879  99.87993 100.21477 100.19481 100.01500  99.56405 #>  [64058] 100.38426 100.20978 100.50871  99.97500  99.71459  99.99000  99.72963 #>  [64065] 100.24969  99.93998 100.29955  99.92998 100.24470 100.41912 100.07997 #>  [64072]  99.97500 100.29955 100.78194  99.50879 100.28460  99.88493  99.81483 #>  [64079] 100.22475  99.59920 100.13491  99.77475 100.60815 100.03999  99.78477 #>  [64086]  99.92998  99.84488  99.80481  99.91997  99.72963  99.66444  99.93498 #>  [64093]  99.74969 100.15488  99.71961  99.62931  99.90495 100.10494 100.35437 #>  [64100]  99.95999 100.48881 100.07997 100.03999  99.78978  99.61426 100.09995 #>  [64107]  99.75470 100.10994 100.09495 100.35437  99.92998 100.00500 100.12992 #>  [64114]  99.60422  99.45853 100.08496  99.87492 100.23472 100.27961 100.04499 #>  [64121] 100.38924 100.33942 100.17984  99.94999  99.87492  99.62429 100.36932 #>  [64128]  99.82485  99.42837  99.69955  99.99500 100.00500  99.99500  99.92497 #>  [64135] 100.42908 100.10494  99.78978  99.83486  99.95999 100.01000  99.86491 #>  [64142]  99.55401  99.99500 100.52363  99.48869  99.55903  99.88994 100.12492 #>  [64149] 100.22475  99.76973  99.57911 100.03999  99.48869  99.88493  99.95999 #>  [64156] 100.04999 100.25966 100.22475  99.73966 100.24969 100.30454 100.13990 #>  [64163] 100.57336  99.66945  99.47864  99.76472 100.08996 100.21477 100.26964 #>  [64170] 100.56838  99.99000  99.98500 100.18982  99.84488  99.80982  99.43842 #>  [64177] 100.13990  99.80481 100.17485  99.71961 100.35935  99.70958 100.39920 #>  [64184] 100.52860  99.94498  99.99000  99.60924  99.84488  99.87492  99.94999 #>  [64191] 100.37928  99.90996  99.80982  99.85990 100.32946 100.16986  99.61426 #>  [64198]  99.57911  99.55903  99.76472 100.63300 100.01500  99.96499 100.22974 #>  [64205]  99.91496 100.08996 100.76706  99.56907 100.43904 100.19481  99.97500 #>  [64212]  99.55903 100.59821 100.22475 100.19980  99.47864 100.09495  99.82986 #>  [64219]  99.54396  99.92497  99.39316  99.94498 100.18982  99.52889  99.85990 #>  [64226] 100.12492  99.78978  99.88994 100.82162  99.92998  99.90495  99.97000 #>  [64233] 100.09995  99.65942  99.64437 100.28958 100.07997 100.58827 100.00500 #>  [64240] 100.00500  99.82485 100.33444 100.30454 100.09995 100.15987  99.71459 #>  [64247] 100.77698  99.70958  99.65440  99.71459 100.10994 100.17485  99.70456 #>  [64254] 100.31949 100.27462 100.17984 100.01000 100.05498  99.70958 100.26964 #>  [64261]  99.79479  99.80481  99.71459  99.70456 100.33942 100.01500 100.11493 #>  [64268] 100.29457 100.48383  99.80481 100.06498  99.63935  99.85990 100.23971 #>  [64275] 100.26465  99.59418 100.21477  99.78978 100.15987  99.78978 100.11493 #>  [64282]  99.66444  99.72462 100.21976 100.34939 100.17485  99.99000 100.04999 #>  [64289]  99.70456 100.08996 100.06498 100.29457  99.67447  99.84989 100.42908 #>  [64296] 100.24969  99.69955  99.88493 100.26465  99.92998  99.87993  99.75971 #>  [64303] 100.56838 100.43904 100.32946  99.94999  99.36297  99.88493 100.21477 #>  [64310] 100.29955  99.88994 100.32447 100.07497 100.16486 100.06498  99.76973 #>  [64317] 100.00500  99.74467  99.91997  99.86491 100.13491  99.78978 100.07997 #>  [64324]  99.94498 100.22974 100.12492  99.62429  99.82485  99.49874 100.14989 #>  [64331] 100.46890  99.84989 100.09495  99.65942 100.26964  99.43842  99.93998 #>  [64338] 100.00500  99.63935  99.93998 100.69757 100.44401  99.92497  99.72462 #>  [64345] 100.02000 100.14490  99.81984  99.83987  99.51884 100.30454  99.90996 #>  [64352] 100.37928 100.13491  99.92998  99.80982  99.97500 100.19980 100.23472 #>  [64359]  99.94999 100.40418  99.97500 100.26465 100.22974  99.76973  99.99000 #>  [64366] 100.24969  99.55903 100.02500 100.52860 100.34939 100.00500  99.57911 #>  [64373]  99.85489  99.82485 100.32946  99.98500 100.47885 100.08996  99.79479 #>  [64380]  99.74467  99.94999  99.93998  99.65440  99.98500  99.70958 100.36932 #>  [64387]  99.82485  99.53391 100.03999  99.96499  99.53894 100.04499  99.70958 #>  [64394]  99.80481 100.34939  99.30257 100.42410  99.65440 100.73232 100.54352 #>  [64401]  99.69453 100.15488 100.03000  99.85990  99.92497  99.67949 100.13491 #>  [64408] 100.15987 100.18483 100.35935 100.06498  99.84989 100.22974 100.87616 #>  [64415] 100.49378  99.72462 100.14989  99.58414 100.21976  99.50879  99.72963 #>  [64422]  99.72963 100.36434  99.68952  99.97500  99.78978  99.62429 100.49876 #>  [64429]  99.88493 100.15987  99.74969  99.78978  99.93998  99.63935 100.18483 #>  [64436] 100.25468 100.04999 100.05498 100.66280 100.17984  99.86491 100.03000 #>  [64443] 100.19980 100.04999 100.40916 100.13491  99.90495  99.78978  99.81984 #>  [64450]  99.55401 100.20479  99.91997  99.93498 100.24470  99.87993  99.97500 #>  [64457] 100.15488  99.27739 100.48383  99.90996 100.02000  99.66444 100.59821 #>  [64464]  99.69955  99.89995 100.28958 100.12992 100.03000 100.04499 100.12492 #>  [64471] 100.13491 100.22475 100.15987  99.74969  99.38310  99.54898 100.33444 #>  [64478] 100.67274 100.17485  99.99000 100.12992 100.17984  99.93998 100.15987 #>  [64485]  99.59920 100.09495  99.51382 100.36434  99.93998 100.04999  99.70456 #>  [64492]  99.54898  99.91496 100.21477  99.67949  99.82485  99.17661 100.18483 #>  [64499] 100.41912  99.94999 100.25966 100.34939  99.97500  99.81984  99.84989 #>  [64506]  99.86992 100.08496  99.81984  99.47361  99.82986 100.46392 100.36932 #>  [64513] 100.15987 100.17485  99.83987 100.12992  99.92998  99.79479  99.88493 #>  [64520] 100.18982 100.25966  99.99500 100.02000  99.98000  99.93498 100.04499 #>  [64527] 100.37928 100.80179  99.55903 100.23971 100.48881  99.40322  99.56405 #>  [64534] 100.14989  99.97000  99.75470  99.63433  99.87492 100.16986 100.25468 #>  [64541]  99.62931  99.87993  99.90996  99.72963 100.04499  99.96499 100.33444 #>  [64548]  99.78978 100.07497  99.89494  99.71459  99.78477 100.43406  99.88493 #>  [64555]  99.95999  99.61928 100.02500 100.45895 100.02000 100.27462 100.10994 #>  [64562] 100.38924 100.15488  99.62931 100.28958 100.03000  99.90495  99.95999 #>  [64569] 100.10494  99.49372 100.32447 100.16986  99.94498  99.70456  99.90996 #>  [64576] 100.63797  99.99000  99.70958  99.98500  99.53391 100.68764  99.85990 #>  [64583]  99.85489 100.01000 100.04499  99.78978 100.15488  99.97500  99.88994 #>  [64590] 100.46890  99.76973  99.68450 100.49876  99.99500 100.58827 100.03000 #>  [64597] 100.51368  99.41328  99.25724  99.88493 100.18483  99.87993  99.52387 #>  [64604]  99.70958  99.69955  99.56907  99.61928 100.24969 100.34441 100.31451 #>  [64611]  99.65440  99.95999 100.18982 100.21477  99.84989  99.79479 100.14490 #>  [64618] 100.14989  99.96499 100.40916  99.67447 100.23472  99.81984 100.34441 #>  [64625]  99.93498 100.05498  99.98500 100.06498  99.70456 100.17485 100.18483 #>  [64632] 100.39920 100.21976  99.86992  99.84989 100.06998 100.01500  99.80481 #>  [64639] 100.43406  99.93998 100.07497  99.48367  99.91496  99.56907 100.37928 #>  [64646]  99.99000 100.49876 100.39422 100.41912 100.00000 100.41912  99.97000 #>  [64653] 100.43406 100.23971  99.75971  99.97000  99.92497 100.14490 100.01000 #>  [64660]  99.89995 100.11993 100.05998 100.28958 100.28958  99.89494 100.18982 #>  [64667]  99.74467  99.72462 100.16486 100.11493  99.62931 100.18982  99.79479 #>  [64674] 100.31451 100.46890  99.81483  99.93498 100.27961  99.50377 100.23971 #>  [64681] 100.13990 100.11493  99.97000 100.09495 100.38924  99.50377  99.79980 #>  [64688] 100.07997  99.68952 100.02500 100.03499 100.20479  99.67949 100.39422 #>  [64695]  99.92497  99.59920 100.09495  99.94498  99.68952  99.45853 100.18982 #>  [64702] 100.13491 100.24969 100.21976  99.87993  99.92998  99.62931 100.40916 #>  [64709]  99.97000  99.74969 100.14989 100.15488  99.87492 100.48383  99.91496 #>  [64716]  99.71459 100.39920 100.74721  99.80481 100.13491 100.09495  99.58916 #>  [64723]  99.74969 100.44899  99.94498  99.38813 100.00000  99.94999 100.23472 #>  [64730] 100.10994  99.84488 100.21477 100.20978  99.45351  99.73465  99.75971 #>  [64737] 100.05998 100.79683 100.35935  99.53894  99.88994  99.85990 100.03499 #>  [64744]  99.85489 100.24470  99.90996  99.81483  99.73465 100.08496  99.89494 #>  [64751]  99.87993 100.40916 100.17485  99.64939 100.03000  99.92998  99.94498 #>  [64758]  99.65440 100.21477 100.02500  99.40825  99.30257 100.31451 100.16986 #>  [64765]  99.90996  99.86491  99.82986 100.70253  99.64437 100.20479 100.28958 #>  [64772]  99.93998  99.77976 100.37430  99.76973  99.93498  99.24717  99.68952 #>  [64779]  99.88493  99.95499  99.83987  99.80982 100.16486  99.58414 100.44401 #>  [64786] 100.00000  99.98500 100.17485 100.45895  99.56405  99.96499 100.09495 #>  [64793] 100.04999  99.66444  99.92998 100.02500 100.47388  99.90996 100.32447 #>  [64800]  99.83987 100.11493  99.51884  99.56907  99.81483 100.36434  99.80481 #>  [64807]  99.79980  99.99500  99.93498 100.41912  99.66444 100.06998 100.06498 #>  [64814]  99.61426 100.40418 100.10994  99.87993  99.72963  99.88493  99.84989 #>  [64821]  99.42334 100.17485  99.81984  99.77475 100.42908 100.02000  99.90996 #>  [64828] 100.35935  99.69453 100.68764 100.05498  99.46859 100.42908  99.95499 #>  [64835]  99.75470  99.84989  99.84488 100.36932 100.26465  99.68952  99.78477 #>  [64842] 100.32946 100.21976 100.60318  99.91496 100.25468  99.83987 100.09495 #>  [64849]  99.72963 100.27462 100.13990  99.86992 100.18483 100.29457 100.23971 #>  [64856] 100.20479  99.82986 100.06998  99.99000  99.99500 100.10494  99.94999 #>  [64863] 100.16486 100.20978 100.02000 100.11993  99.41831 100.08996 100.07497 #>  [64870] 100.08996  99.74969  99.57911 100.25966  99.58414 100.06998  99.62429 #>  [64877]  99.79479  99.56907  99.67447 100.18483  99.88493  99.90495  99.52387 #>  [64884]  99.46356 100.02000 100.30454  99.90495 100.12492  99.72963 100.04999 #>  [64891]  99.98500 100.13990  99.91997  99.73966 100.24470 100.32946 100.34939 #>  [64898]  99.97000 100.30952 100.18483 100.11993 100.14490  99.94999 100.00000 #>  [64905]  99.74467  99.87993  99.74969 100.17984 100.06998  99.55903  99.82485 #>  [64912]  99.93498 100.23971  99.84488  99.65942 100.34939  99.78477  99.80481 #>  [64919]  99.87492 100.36434  99.84488  99.87993  99.87492 100.13990 100.10494 #>  [64926]  99.73465 100.11993 100.15488 100.54850 100.21477  99.97500 100.10494 #>  [64933] 100.57336 100.07497  99.87492  99.86491 100.15488 100.01000  99.97500 #>  [64940] 100.42908  99.73966 100.31949  99.97000  99.66945 100.18982  99.45351 #>  [64947]  99.86992 100.21976  99.99000 100.35437  99.88994 100.04999 100.02000 #>  [64954] 100.47388 100.02500  99.82485 100.36932 100.09495  99.50879 100.36932 #>  [64961] 100.05998 100.25468  99.61426 100.21976  99.44345 100.17984  99.90495 #>  [64968] 100.18483 100.14989  99.52387 100.16986  99.99500 100.06498 100.17984 #>  [64975] 100.03499  99.81984  99.97000  99.87492 100.14989  99.94999  99.71459 #>  [64982] 100.09495 100.03499 100.28958 100.32447 100.50373 100.02500  99.99500 #>  [64989] 100.43904  99.89494  99.76973  99.98000  99.88493 100.16486 100.08996 #>  [64996]  99.86491  99.67447  99.72963 100.20978 100.22974  99.81483 100.34939 #>  [65003]  99.95499  99.64437  99.85990 100.67274 100.03499 100.00500  99.95499 #>  [65010] 100.22475  99.92497 100.19980  99.70456 100.12492 100.04499  99.82485 #>  [65017]  99.88493  99.98000 100.04999 100.27462  99.88493  99.90495 100.23472 #>  [65024] 100.06498  99.68450  99.83486 100.32447  99.79980 100.23472  99.68450 #>  [65031] 100.27462  99.88493 100.16486  99.76472 100.54850 100.63300 100.23971 #>  [65038]  99.88994 100.23472  99.95999 100.28958 100.25966 100.03000 100.31949 #>  [65045]  99.78477 100.26964 100.87616 100.46392 100.03999 100.19481 100.00000 #>  [65052] 100.06998  99.89494 100.45895  99.65440 100.27462  99.93998  99.83486 #>  [65059] 100.49378  99.48367 100.09495  99.92497  99.97500  99.95999  99.97500 #>  [65066]  99.82485  99.74969  99.80481  99.79479 100.09495 100.03999 100.28460 #>  [65073]  99.84488  99.62931 100.30952  99.67949 100.17485 100.00500 100.47388 #>  [65080] 100.46890  99.70456 100.12492 100.04999 100.19980  99.95499  99.99500 #>  [65087]  99.88994  99.99500  99.70456  99.79980  99.21189 100.21477 100.01000 #>  [65094]  99.92497  99.97000 100.30952 100.12492  99.57409 100.25468 100.56341 #>  [65101] 100.14989  99.57911 100.12992 100.07497  99.77475 100.33444 100.42908 #>  [65108]  99.80481 100.41912 100.03000  99.62429  99.82485 100.22475 100.16986 #>  [65115]  99.86491  99.96499 100.14490  99.67447 100.06998 100.04999  99.60924 #>  [65122] 100.06498  99.68450  99.89494 100.16986  99.62931 100.07497 100.34939 #>  [65129]  99.85990  99.81984  99.43339  99.98000  99.76973 100.36932 100.17485 #>  [65136] 100.35935 100.37430  99.62429 100.03499  99.89494 100.34939 100.21477 #>  [65143] 100.00500 100.17485  99.83486 100.06998 100.03000  99.80982  99.71961 #>  [65150] 100.32447  99.49874  99.78477  99.90996 100.01000  99.95999 100.11993 #>  [65157]  99.60924  99.76472 100.54850 100.34939 100.05498 100.02000  99.98500 #>  [65164]  99.55401 100.70750 100.09995 100.09495 100.67274 100.53358  99.52387 #>  [65171] 100.28958  99.74467 100.31451 100.14490 100.06498 100.19980  99.84488 #>  [65178] 100.01500  99.98500 100.10994 100.04999 100.15987 100.09995 100.43904 #>  [65185] 100.40916 100.70253  99.86491 100.45397 100.08496  99.94999 100.33942 #>  [65192]  99.88994 100.22475 100.00000  99.61928 100.49378  99.82986 100.35935 #>  [65199] 100.00000 100.20978  99.83486  99.68450  99.89995  99.78477  99.34284 #>  [65206]  99.95499  99.90495  99.99000 100.17485  99.76472  99.46356  99.55401 #>  [65213] 100.20479  99.72963  99.79479  99.91496 100.28958  99.71961  99.62931 #>  [65220]  99.93998 100.23971 100.57336 100.64293 100.00000  99.86491  99.30760 #>  [65227] 100.19980 100.25966 100.31949  99.97000  99.67949  99.82485 100.34441 #>  [65234]  99.63935  99.30257 100.09495 100.02500 100.31949 100.03000 100.13990 #>  [65241] 100.01000  99.86491  99.52387  99.86992  99.89995  99.77976 100.62803 #>  [65248] 100.03000  99.94498  99.64939 100.25966 100.38924 100.29955 100.13491 #>  [65255] 100.23971  99.82485 100.07497  99.94999 100.00000 100.08996  99.95499 #>  [65262]  99.96499  99.67949 100.34441  99.66945 100.04999 100.13990  99.80481 #>  [65269]  99.78477  99.71961 100.39920 100.20978 100.45397 100.64790  99.77475 #>  [65276] 100.17984 100.09995  99.59920 100.00500  99.21189 100.24470  99.89494 #>  [65283] 100.09995 100.10994  99.79980 100.01500  99.77976 100.15488 100.47388 #>  [65290]  99.84488 100.09995 100.52860  99.30257 100.37928 100.08996  99.85990 #>  [65297] 100.03499 100.16986 100.40418  99.80481  99.97500  99.61426 100.25468 #>  [65304]  99.71459  99.87492  99.76973 100.06998 100.44899  99.56907 100.44401 #>  [65311] 100.04499  99.63433  99.86491 100.64293 100.06998 100.04499  99.98000 #>  [65318] 100.21976 100.08496  99.64939  99.76472  99.98000 100.03999 100.10494 #>  [65325] 100.03999 100.16486 100.25468 100.12992 100.18483 100.03000  99.67949 #>  [65332] 100.11493 100.27462 100.15987 100.03999 100.22974 100.41912 100.65287 #>  [65339] 100.31949  99.32774 100.02500 100.29955  99.44848 100.06998  99.68450 #>  [65346] 100.25468 100.07497 100.01000  99.68450  99.66444 100.28460  99.28746 #>  [65353]  99.57911  99.89995  99.70456 100.11993  99.59418 100.07497  99.83486 #>  [65360] 100.20479  99.91496  99.91997 100.06998  99.57911  99.95499  99.68952 #>  [65367]  99.91997 100.28460 100.12992 100.34441 100.04999 100.06998 100.18483 #>  [65374]  99.52889  99.89995  99.70958 100.48881  99.99500  99.74467  99.25724 #>  [65381] 100.02500 100.36434 100.66777  99.77475  99.77475  99.66444 100.29457 #>  [65388] 100.50373  99.89494 100.04999  99.43842  99.96499 100.08996 100.04499 #>  [65395] 100.55844  99.79980  99.89995  99.84989 100.03000 100.02500 100.26465 #>  [65402] 100.13990  99.72462 100.02500  99.51382 100.24969 100.05498 100.20978 #>  [65409]  99.98500 100.40916 100.05498 100.13990 100.09495  99.89995  99.99000 #>  [65416]  99.89494 100.13990  99.75971  99.86992 100.56341  99.44345 100.08496 #>  [65423]  99.78477 100.27961  99.85990 100.51865 100.59821  99.98500  99.48869 #>  [65430]  99.80481 100.18483 100.00000  99.51884  99.54898  99.86992 100.03999 #>  [65437] 100.12492 100.17984  99.64939 100.02000  99.94498 100.12492  99.80481 #>  [65444] 100.10494 100.19481 100.12492 100.07497  99.89494  99.42837  99.70456 #>  [65451] 100.25468 100.13990  99.99500 100.07997 100.00000  99.58414 100.06498 #>  [65458] 100.11493 100.28958 100.06998  99.41831  99.82485  99.73966  99.59920 #>  [65465]  99.96499 100.19481  99.45853  99.81984 100.20479  99.68952  99.91496 #>  [65472]  99.80481  99.89494 100.25966  99.81483  99.75971  99.50879  99.32774 #>  [65479]  99.76973  99.89494  99.69453  99.52889  99.86992 100.21477  99.41328 #>  [65486]  99.84488 100.39422 100.45397  99.43842 100.58330 100.03499 100.27961 #>  [65493] 100.45895  99.85489 100.13491 100.05498  99.78978  99.95999  99.97500 #>  [65500] 100.03499  99.88994  99.81984 100.00000  99.81483  99.37303  99.95499 #>  [65507]  99.63433 100.30454  99.57911  99.82986 100.45895  99.99000  99.29753 #>  [65514] 100.14989  99.92998 100.20978  99.89995  99.90495 100.16486  99.84989 #>  [65521]  99.57911 100.03999  99.77976 100.26964  99.58414 100.42908  99.96499 #>  [65528] 100.05498 100.05998 100.30454 100.02000  99.98500  99.95499 100.16986 #>  [65535] 100.19980  99.76973 100.15488 100.40916  99.78978 100.01500  99.91496 #>  [65542] 100.02000 100.22475  99.86491  99.66444  99.80481  99.86491 100.34441 #>  [65549] 100.34939 100.14989 100.28460  99.90495  99.95999  99.80982  99.61426 #>  [65556] 100.18982  99.97500 100.18483  99.96499  99.61426  99.83987  99.76472 #>  [65563] 100.03499 100.04499 100.42410 100.50871 100.22475 100.37928  99.94999 #>  [65570]  99.75971 100.18982 100.08996  99.66945  99.72462  99.95999  99.97500 #>  [65577]  99.37807 100.10994 100.34441 100.24470 100.04999  99.68952 100.28460 #>  [65584] 100.00500  99.79980  99.68952  99.70958 100.52363 100.38924 100.47885 #>  [65591] 100.13990 100.86129  99.73465 100.61809  99.55401 100.31451 100.26964 #>  [65598]  99.98000 100.10994 100.21976  99.81984  99.57409  99.82485 100.22475 #>  [65605] 100.07997  99.95499  99.86992 100.09495  99.87492  99.61426  99.74467 #>  [65612] 100.49876 100.35935 100.36434 100.31451  99.39819 100.15488  99.73966 #>  [65619] 100.04999  99.69453  99.80481 100.20978 100.31949  99.58414 100.06998 #>  [65626]  99.87492 100.03000  99.64437  99.77976 100.21477  99.64437 100.49378 #>  [65633]  99.47361  99.87492  99.65942  99.79479  99.97500  99.70456 100.09995 #>  [65640]  99.86491  99.37807 100.18483  99.66945  99.48869  99.82485 100.28958 #>  [65647]  99.92998  99.65942  99.86992 100.00000  99.91997  99.95499 100.13491 #>  [65654]  99.76472  99.65440 100.37430 100.18483 100.12992  99.97000  99.75971 #>  [65661] 100.09495 100.22974 100.13491  99.69453 100.70750  99.79479 100.22475 #>  [65668] 100.07497  99.72963 100.09495  99.30760  99.84989 100.10994 100.26964 #>  [65675] 100.17485 100.20978 100.03000 100.42410  99.80982 100.12992 100.16986 #>  [65682] 100.19980 100.61312 100.14989 100.16486  99.89995  99.52889  99.99500 #>  [65689]  99.96499  99.97500 100.02500  99.80982  99.84488 100.13990 100.00000 #>  [65696] 100.17984  99.83486 100.14989 100.26465 100.35935  99.92998  99.40825 #>  [65703]  99.48869 100.27462  99.76472  99.37303  99.93998 100.00500  99.53894 #>  [65710] 100.48383 100.26465 100.34441  99.74467  99.99500 100.05998 100.26964 #>  [65717] 100.00000  99.99500 100.09495  99.83987  99.29753  99.99500 100.24470 #>  [65724]  99.94498  99.84989  99.83486 100.56341  99.56907  99.74467  99.56907 #>  [65731]  99.84488  99.79479 100.29457  99.63935 100.02500 100.20978  99.74969 #>  [65738] 100.39920 100.17984  99.98500 100.58827  99.66444 100.29457 100.26465 #>  [65745]  99.88493 100.39920  99.92998 100.08996  99.99500 100.63300 100.04999 #>  [65752] 100.38426 100.25468 100.03000  99.89494  99.72462  99.86491 100.03000 #>  [65759]  99.72462 100.10994 100.54352 100.14989  99.54396  99.70958  99.65942 #>  [65766]  99.43842  99.75971  99.77475 100.08996  99.95999  99.67949 100.16486 #>  [65773]  99.85489 100.35437 100.18483  99.84989  99.84488  99.88994 100.28958 #>  [65780] 100.32946 100.11493 100.02000  99.60924  99.90996 100.37430 100.41912 #>  [65787] 100.00500 100.08996  99.41328 100.47885  99.64939 100.12492 100.00000 #>  [65794] 100.22974 100.20978  99.80982  99.69453  99.33277 100.24470  99.72462 #>  [65801]  99.95499 100.01500  99.89494  99.66945  99.95499  99.66945  99.65440 #>  [65808]  99.58916 100.03499  99.70456 100.35437 100.00000  99.52387 100.46392 #>  [65815]  99.92998  99.92998  99.97500  99.79479 100.12992 100.58330  99.77976 #>  [65822]  99.51382 100.11493  99.76973 100.28958  99.82485  99.66444  99.64437 #>  [65829]  99.69955  99.90495 100.08996 100.10494 100.20978 100.29955  99.88493 #>  [65836]  99.63433  99.95499  99.71961  99.55903 100.18483  99.91997 100.02500 #>  [65843]  99.47864 100.15987 100.05998  99.99000  99.89995  99.69453  99.42837 #>  [65850]  99.88994 100.07997  99.87993 100.08496  99.85489 100.24470 100.24470 #>  [65857]  99.86491 100.33942  99.99000 100.17485 100.44401 100.42410  99.98500 #>  [65864] 100.15987  99.52387  99.83987 100.38426 100.44401  99.85990 100.44401 #>  [65871] 100.06998  99.86992 100.10994 100.00500  99.57911 100.03499  99.84989 #>  [65878] 100.04499 100.03499  99.44345 100.47388 100.30952 100.32946  99.35794 #>  [65885] 100.17984 100.07997 100.20479 100.53358 100.22475  99.96499 100.39920 #>  [65892]  99.85990 100.11493 100.08496  99.68952 100.01000  99.99500  99.96499 #>  [65899]  99.85489  99.83987  99.45351  99.99000 100.57336  99.81984 100.38924 #>  [65906] 100.41414 100.08496  99.84488  99.77976  99.65942  99.50879  99.68952 #>  [65913] 100.03000 100.08496 100.26465  99.99500 100.04499 100.41414 100.45895 #>  [65920] 100.21976 100.07497 100.28460  99.90495 100.23472 100.25468 100.94058 #>  [65927] 100.09495  99.82485  99.98000  99.37807  99.83486  99.98000 100.42410 #>  [65934] 100.49378 100.32447  99.69955  99.53894  99.75470  99.77976 100.40418 #>  [65941] 100.30952  99.46859  99.57409 100.32946  99.85990 100.00000  99.81984 #>  [65948]  99.99500  99.75971  99.88994  99.39819  99.88994  99.89494 100.09495 #>  [65955]  99.91997 100.06498  99.81483  99.76472 100.00500  99.86992  99.78477 #>  [65962]  99.49372 100.46890  99.72462 100.34441 100.33444  99.83987  99.69955 #>  [65969]  99.68952  99.24717  99.91997 100.04499  99.75971  99.53894  99.65942 #>  [65976] 100.05498  99.81483 100.04999  99.87492 100.06498 100.02000 100.43904 #>  [65983] 100.46890 100.06498  99.49874 100.64790 100.19481  99.83486 100.21477 #>  [65990] 100.04999 100.03499  99.77976  99.48367 100.19980 100.49378  99.87492 #>  [65997]  99.84989 100.06998 100.15987 100.03499 100.25966  99.57911 100.16486 #>  [66004]  99.89995 100.14490 100.21477 100.20978  99.89995  99.95499  99.64437 #>  [66011]  99.92998 100.29955 100.67274  99.77976 100.88112 100.15488 100.26964 #>  [66018]  99.75971  99.82986 100.25966 100.37928  99.93998 100.11493 100.19481 #>  [66025] 100.30454 100.40916 100.03000  99.80982  99.50377 100.14490  99.57409 #>  [66032] 100.09495  99.85489  99.60422  99.53391  99.54396 100.39422  99.77976 #>  [66039] 100.14989 100.45397 100.41414 100.28460 100.46890  99.84488  99.89995 #>  [66046]  99.95499 100.34441 100.00500  99.91997  99.91997  99.91997 100.18483 #>  [66053]  99.62429  99.81984  99.66444 100.07497 100.04499 100.13990 100.30454 #>  [66060]  99.88493  99.71459  99.77976 100.20978 100.02500 100.41414  99.40825 #>  [66067] 100.16986 100.28460 100.49876 100.32447  99.75470 100.00000 100.35935 #>  [66074] 100.28958 100.25468 100.07997 100.30454 100.40418 100.45397 100.08496 #>  [66081]  99.70958 100.10494  99.91496 100.18483 100.19980 100.02000 100.14490 #>  [66088] 100.17984 100.28958  99.65440 100.12492 100.19980  99.84488  99.67949 #>  [66095] 100.21477 100.35935 100.10994 100.15488 100.19980 100.17485  99.68450 #>  [66102]  99.29753 100.03000 100.07997 100.43904 100.54850 100.20978 100.11493 #>  [66109] 100.24470 100.29457  99.90996 100.25468  99.40322  99.78477  99.49372 #>  [66116] 100.42410 100.36434  99.88994 100.19481 100.32946  99.99500  99.46859 #>  [66123]  99.90495  99.51884  99.91997  99.73966  99.50879  99.89995 100.17485 #>  [66130]  99.94999  99.77976  99.87492 100.13491  99.77475 100.14989  99.89494 #>  [66137] 100.19481 100.35935  99.56405 100.00500  99.93998  99.81483 100.05498 #>  [66144]  99.35291  99.54898  99.66945 100.11993 100.43904 100.31451  99.95499 #>  [66151]  99.60924 100.09995  99.76973 100.30454 100.15987 100.61312  99.46859 #>  [66158]  99.78477  99.54396  99.58414  99.61928  99.66444 100.20978  99.89995 #>  [66165] 100.47388  99.62931  99.80982  99.77475  99.74969  99.61928 100.18483 #>  [66172] 100.09995 100.10494  99.94498  99.46356 100.25468  99.94999 100.24470 #>  [66179] 100.05998  99.89995 100.13491 100.48881 100.19980 100.70253  99.72462 #>  [66186] 100.13491  99.93498 100.18982  99.91496  99.98500 100.38426 100.18483 #>  [66193] 100.03000  99.83987 100.57833 100.03999 100.21976  99.78477 100.38426 #>  [66200]  99.99000 100.07497  99.70958 100.40916  99.58414 100.40418  99.89494 #>  [66207]  99.95499 100.12492  99.63433 100.42410  99.82485  99.94498 100.57336 #>  [66214]  99.88493  99.85489 100.35935  99.57911 100.14989 100.06998  99.90495 #>  [66221]  99.69955  99.98500 100.02500  99.95999  99.95999 100.32946  99.79980 #>  [66228] 100.16486 100.66280  99.77976 100.28460 100.29457  99.75470  99.57409 #>  [66235]  99.71459 100.68764 100.68764  99.45351 100.82658  99.88994  99.98500 #>  [66242]  99.58916  99.68450 100.55844 100.27961  99.60422 100.12492 100.53358 #>  [66249]  99.94498  99.76973  99.87993  99.85990 100.12992 100.27462 100.30952 #>  [66256] 100.28460  99.57409 100.25966 100.13990  99.76472 100.46392 100.17485 #>  [66263] 100.33942 100.19481  99.84488  99.45853 100.41414  99.51884 100.37928 #>  [66270]  99.78477  99.81483  99.94498  99.79980  99.78477  99.80982  99.58916 #>  [66277]  99.99000  99.74969 100.12992 100.44899  99.60924  99.79479 100.08496 #>  [66284]  99.59418 100.14490 100.36434 100.13990  99.72462 100.35935 100.01000 #>  [66291]  99.97000 100.25468 100.31451 100.34939 100.35935  99.90495 100.37928 #>  [66298] 100.01000 100.10994  99.86491  99.82485 100.09995 100.29457  99.66444 #>  [66305] 100.13990 100.18483 100.06998  99.83987  99.91997 100.26465  99.97000 #>  [66312]  99.70958 100.23971  99.86491 100.08496  99.89995 100.48383 100.28460 #>  [66319] 100.04499  99.53391 100.34939  99.99000  99.98000 100.02500 100.56838 #>  [66326]  99.77976 100.22475  99.65942  99.90495  99.77976 100.25966  99.71459 #>  [66333]  99.54396 100.44899 100.12492  99.87993  99.90996  99.86992 100.48881 #>  [66340] 100.26964  99.92998 100.03999  99.61928 100.06498 100.16486 100.13990 #>  [66347] 100.48383 100.24969  99.38310  99.57911 100.13491 100.13990  99.82485 #>  [66354]  99.84488 100.28460 100.06498 100.39422 100.14490 100.37928  99.64939 #>  [66361]  99.46859 100.49378 100.14490  99.73966  99.87993 100.21976 100.18982 #>  [66368] 100.47885  99.60924  99.61426  99.73966 100.20978 100.10494  99.44345 #>  [66375] 100.20978 100.10494  99.55903  99.86491 100.14490 100.46392 100.77698 #>  [66382] 100.10994 100.31949 100.08996 100.14490 100.57833  99.92497 100.08496 #>  [66389] 100.20479  99.70456  99.83987 100.17984 100.47388  99.80982 100.52363 #>  [66396]  99.89995  99.91496  99.98500 100.11493 100.18982  99.98000  99.67447 #>  [66403] 100.22475 100.02500  99.75971 100.52860 100.02000 100.10494 100.04499 #>  [66410]  99.91997 100.08996  99.73465 100.16486  99.95499 100.01000  99.81483 #>  [66417] 100.16986 100.08496  99.69955 100.35935 100.04999  99.97500  99.43339 #>  [66424] 100.03999 100.25468 100.14490 100.33942 100.19481 100.10494 100.00500 #>  [66431]  99.76973 100.29457 100.21976  99.97000 100.10494  99.60924  99.66444 #>  [66438]  99.47361  99.38310 100.05498  99.51382 100.21477  99.91496 100.13491 #>  [66445]  99.73966  99.71961 100.04499 100.56341 100.20479  99.88994  99.97500 #>  [66452] 100.06998 100.06498 100.22974  99.77475  99.99000  99.72963 100.01500 #>  [66459]  99.69453  99.89995 100.38924 100.20479 100.16986 100.47885 100.06498 #>  [66466] 100.00500 100.47388  99.76472 100.24470  99.78978  99.89995 100.64293 #>  [66473] 100.29955  99.95499  99.61928  99.97000 100.08496 100.28958  99.89494 #>  [66480]  99.48869  99.94498 100.51368  99.98500  99.81483  99.64437 100.01500 #>  [66487] 100.41912  99.99000 100.24969 100.47388  99.78978 100.56838 100.18483 #>  [66494] 100.04499  99.89494 100.24969  99.66945  99.98000 100.06998 100.33444 #>  [66501]  99.60422  99.95499 100.00000 100.33444 100.24470 100.00500 100.17984 #>  [66508]  99.66945  99.57911 100.09995 100.02000  99.94498 100.24470  99.30257 #>  [66515]  99.45853 100.25468  99.83486 100.44401 100.18483 100.30454 100.40418 #>  [66522]  99.62931  99.79479  99.59920  99.94498  99.99000 100.12992  99.89995 #>  [66529]  99.78477  99.92998 100.02500  99.59920 100.01000 100.12492  99.97000 #>  [66536] 100.17485  99.93498  99.86992  99.88994  99.79479  99.64939 100.35935 #>  [66543]  99.87492 100.08996 100.19481 100.16986  99.90996  99.71961  99.97000 #>  [66550]  99.83486  99.47864  99.83486 100.69260 100.23971 100.13990  99.87993 #>  [66557]  99.46356 100.04999  99.88493  99.88493  99.67949 100.34441 100.02000 #>  [66564]  99.70456 100.14490  99.46859 100.34939 100.26465  99.78978 100.32946 #>  [66571] 100.20978 100.15488 100.07997 100.06998 100.17485 100.04499  99.63433 #>  [66578]  99.80982 100.63300  99.56405 100.20978 100.17485 100.36932 100.17485 #>  [66585]  99.88994 100.10994 100.11493 100.19481 100.41414  99.87492 100.30952 #>  [66592]  99.71961 100.08996  99.69955 100.38426  99.62931  99.78477 100.20479 #>  [66599] 100.23472  99.55903  99.84488  99.70958  99.85990 100.54352  99.74969 #>  [66606]  99.73966 100.14490 100.19481  99.63433 100.29955  99.77475  99.57911 #>  [66613]  99.87993 100.35935  99.89494  99.71961  99.54396  99.50879 100.14490 #>  [66620]  99.56907  99.93998  99.45351 100.09995 100.35437  99.91496 100.20978 #>  [66627] 100.47388 100.31949 100.34939 100.19980 100.09995  99.70456 100.38426 #>  [66634]  99.71459  99.76472 100.13990 100.19980  99.62429 100.37928 100.38426 #>  [66641]  99.62429 100.23971  99.69453  99.83987  99.91496 100.26964  99.55401 #>  [66648]  99.68450 100.56341  99.81984  99.98500  99.93498  99.87993  99.47864 #>  [66655] 100.10494 100.43406 100.86129  99.78978  99.44345  99.74969  99.61928 #>  [66662] 100.10994 100.15987 100.28958  99.99000 100.19481  99.97500 100.57336 #>  [66669]  99.87492  99.68450 100.00000  99.67949  99.73966 100.03999 100.53358 #>  [66676] 100.33942  99.95499 100.17984  99.66444 100.12992 100.11993  99.90495 #>  [66683] 100.10994  99.87993 100.25966 100.21477  99.87993  99.52387  99.49372 #>  [66690] 100.26964  99.75971  99.44848 100.45895  99.80982 100.15987 100.00000 #>  [66697]  99.80982  99.68952  99.95999  99.52387  99.75971  99.62931  99.60422 #>  [66704] 100.48881 100.32447  99.80982 100.33444 100.30454  99.77976  99.57409 #>  [66711]  99.59920 100.11493 100.04499 100.29457 100.26465 100.29955 100.02000 #>  [66718] 100.11493 100.01000  99.74467  99.93498  99.64437  99.86992  99.94999 #>  [66725] 100.34441  99.64437 100.34939  99.77976 100.44401  99.97500 100.25468 #>  [66732] 100.20978  99.90996 100.13990  99.95999  99.67447 100.06498  99.92497 #>  [66739]  99.64437  99.93998 100.09495  99.98500  99.88994 100.17984  99.75470 #>  [66746]  99.85990 100.35437 100.52860  99.92497 100.22475 100.43904  99.63433 #>  [66753] 100.29955 100.33942 100.14989  99.88493 100.40916  99.69955 100.18982 #>  [66760] 100.09995  99.87993 100.05498 100.28460 100.08496 100.19481 100.52860 #>  [66767] 100.02500 100.28460  99.88493 100.23971 100.00500  99.87993  99.57409 #>  [66774] 100.04499 100.27462 100.00000 100.26964  99.69955  99.47361  99.82485 #>  [66781]  99.93498  99.53894 100.25966  99.88994 100.10994  99.55903 100.16486 #>  [66788]  99.74467 100.26465  99.25220  99.58916  99.64437  99.56405 100.18982 #>  [66795] 100.21477 100.24470  99.85489  99.82986  99.78477 100.37430 100.41912 #>  [66802]  99.58916 100.33444 100.02500  99.73465 100.28460 100.13990  99.52889 #>  [66809]  99.83486  99.55401  99.87993  99.69955 100.13491 100.38924 100.21976 #>  [66816] 100.16486  99.89995  99.89995 100.00000 100.18483 100.06498 100.23971 #>  [66823]  99.94498 100.41912  99.67447 100.04499 100.21477  99.48367 100.20479 #>  [66830] 100.03499  99.77475  99.63935  99.86491 100.00500 100.00500 100.15987 #>  [66837] 100.24470  99.81984 100.05498  99.73465 100.25966  99.74969  99.90996 #>  [66844]  99.39819  99.95999 100.08996  99.68450  99.67447 100.03499 100.40418 #>  [66851] 100.06998  99.71961 100.26964  99.59920 100.03000 100.17485 100.24969 #>  [66858]  99.90996 100.43904 100.16486  99.25220 100.22974  99.58916  99.23205 #>  [66865]  99.61928 100.18982 100.61809 100.45895  99.99500 100.36932  99.87492 #>  [66872] 100.55844  99.99000 100.20978  99.94498  99.98500  99.99500 100.09495 #>  [66879]  99.61928  99.99000  99.66444 100.53358 100.32946  99.63935  99.67949 #>  [66886] 100.02500  99.99500 100.13990 100.37430 100.27961  99.57911 100.37430 #>  [66893]  99.94999 100.15488  99.72462 100.11993 100.12992  99.86992  99.76472 #>  [66900] 100.41912 100.20978  99.76973 100.51865 100.39422 100.00500  99.72963 #>  [66907] 100.39920 100.42410  99.59418  99.89494 100.24969 100.05498  99.91496 #>  [66914]  99.86491 100.55347  99.89494 100.20479  99.98500 100.40418  99.36800 #>  [66921]  99.80481 100.23472 100.10494  99.62429  99.61928  99.77475 100.27462 #>  [66928]  99.88994  99.51382 100.02000 100.27961 100.46392 100.65287 100.01000 #>  [66935]  99.87993  99.99000 100.51368  99.56405 100.28958 100.40418 100.40916 #>  [66942] 100.09495  99.83987 100.24969  99.73966  99.90495  99.66945 100.16486 #>  [66949] 100.03999  99.83486  99.94999 100.44401 100.13491 100.05998 100.02000 #>  [66956] 100.15488 100.21976  99.87492 100.27462  99.92998 100.09495 100.15488 #>  [66963]  99.73966  99.92998 100.66280  99.63935  99.88493  99.90996 100.43904 #>  [66970] 100.04499 100.03000  99.69453  99.57911 100.52363  99.59418 100.15987 #>  [66977] 100.16986  99.72963 100.32946  99.67949  99.74467  99.65440  99.89494 #>  [66984]  99.88994  99.93498  99.89494  99.91496 100.24470  99.71961  99.79479 #>  [66991]  99.89494  99.40322 100.10494  99.62429 100.25966  99.88493 100.11993 #>  [66998] 100.05998 100.32946  99.84488 100.17984 100.22475  99.92998  99.77976 #>  [67005] 100.14490  99.71961  99.86491 100.03000 100.13990  99.90996  99.75470 #>  [67012] 100.12992 100.20978  99.50377 100.11493  99.73966  99.64939 100.06998 #>  [67019]  99.86491  99.99500 100.32447 100.42908 100.02500  99.98000 100.21976 #>  [67026] 100.22974  99.79980 100.36434 100.55844 100.23971 100.09995 100.17984 #>  [67033]  99.36800  99.64939  99.81483  99.85489  99.85489  99.86992  99.79479 #>  [67040] 100.34441  99.88493  99.67447 100.15987  99.79980  99.65942 100.15488 #>  [67047] 100.05998 100.36434  99.91997 100.12492  99.87993 100.15987  99.74969 #>  [67054] 100.02500  99.78978  99.84488 100.09995 100.00000  99.95999 100.25468 #>  [67061]  99.51382  99.73966  99.71459  99.97000  99.86992  99.81483  99.82485 #>  [67068]  99.49874 100.01000  99.53894  99.86491  99.91496  99.89494  99.69453 #>  [67075] 100.05998  99.74467  99.90495  99.35794  99.62429  99.84989 100.37928 #>  [67082] 100.01500  99.97000 100.12492 100.31949  99.72963 100.07497 100.02000 #>  [67089]  99.83486 100.35437  99.77475  99.40825 100.63797 100.59821  99.56405 #>  [67096] 100.04999  99.78477 100.39920 100.08496 100.50871 100.00500 100.02500 #>  [67103] 100.37928 100.15987 100.12492 100.04999 100.36932 100.37928  99.61426 #>  [67110]  99.77976  99.96499 100.24470 100.43406 100.19481 100.19481 100.71743 #>  [67117]  99.86992 100.28460 100.42410 100.20978  99.92998  99.62429  99.63935 #>  [67124]  99.92998 100.26465  99.87993  99.25220 100.14490 100.13990  99.82986 #>  [67131]  99.81984 100.15987 100.26465  99.94498 100.36434 100.41912 100.12992 #>  [67138]  99.58916  99.94999 100.22475  99.80481 100.39422  99.88493  99.97500 #>  [67145]  99.81984  99.81483  99.65440  99.96499 100.63300 100.24969  99.85489 #>  [67152]  99.84989  99.85489 100.09495 100.22475  99.99000 100.06498 100.04499 #>  [67159]  99.90996 100.34441 100.00000 100.20479  99.64939  99.59418  99.54396 #>  [67166] 100.41912 100.36932  99.99000 100.18982 100.05498  99.70958  99.69955 #>  [67173] 100.02000  99.71961  99.86992  99.82986  99.43842 100.03000 100.29955 #>  [67180]  99.75470  99.35291  99.61426 100.01000 100.15488 100.08996  99.85489 #>  [67187]  99.98500  99.47864 100.08496 100.09495 100.55844  99.60422  99.54898 #>  [67194]  99.91997 100.23971 100.24969 100.47388 100.10994 100.12492 100.33444 #>  [67201] 100.02000  99.64437  99.90996  99.87993  99.76973  99.83987 100.12492 #>  [67208]  99.83987  99.35291 100.28958 100.20978  99.42334 100.05998 100.31949 #>  [67215]  99.74467  99.56907  99.75470  99.96499  99.83486  99.74969 100.03000 #>  [67222]  99.83987 100.67770 100.10994  99.53894 100.16486  99.98500 100.33444 #>  [67229]  99.43842  99.82986  99.88994 100.01500 100.11493 100.18483 100.34939 #>  [67236]  99.84989 100.09995  99.71961  99.66945 100.38924 100.71743  99.33277 #>  [67243]  99.79479 100.04499  99.49874 100.34441 100.14989 100.56838  99.83486 #>  [67250]  99.53894  99.70958 100.21477 100.20479 100.35437  99.92998  99.97000 #>  [67257]  99.89494  99.89995 100.20479 100.17485 100.12492  99.69955  99.54898 #>  [67264] 100.14490 100.23472 100.24470  99.99000  99.48869  99.67949  99.41831 #>  [67271]  99.93498  99.74467 100.13491  99.90996 100.31949 100.06998  99.96499 #>  [67278]  99.52387 100.31949  99.96499 100.12492 100.25966 100.11993  99.75470 #>  [67285]  99.54898  99.53894  99.54396  99.75971  99.63935  99.39316  99.75971 #>  [67292]  99.64437 100.09995 100.30952  99.62429  99.61928  99.46859  99.93498 #>  [67299] 100.10494 100.29955  99.81483 100.29955 100.20978  99.81984 100.59821 #>  [67306]  99.71459 100.63300  99.81984 100.44899  99.41328  99.94498  99.67949 #>  [67313] 100.29955 100.19481  99.75470 100.32447  99.92998  99.91997  99.73465 #>  [67320]  99.64437  99.92497 100.03999 100.09995  99.96499  99.97500  99.95999 #>  [67327] 100.16986 100.09495 100.07997  99.65942 100.02000 100.23971  99.77475 #>  [67334]  99.60422  99.76472  99.74969 100.10494 100.15987 100.28958 100.06498 #>  [67341] 100.27961 100.12492  99.45351 100.03000  99.67949  99.48367  99.38310 #>  [67348]  99.44345  99.94498 100.21976  99.57409 100.12992  99.65440  99.78477 #>  [67355]  99.89494  99.77475 100.45895 100.16486 100.66280  99.74467 100.03000 #>  [67362]  99.63935 100.35437  99.79479 100.22475 100.16486 100.34441 100.34441 #>  [67369] 100.29457  99.79479 100.35935 100.53855 100.11993  99.74969 100.34939 #>  [67376] 100.49876 100.05998 100.13990  99.88493  99.61426  99.96499  99.99000 #>  [67383] 100.19481 100.42908  99.86491  99.54898  99.60924 100.16986  99.72963 #>  [67390] 100.04999 100.26964 100.25966  99.91496 100.23971  99.90495  99.86491 #>  [67397]  99.60924  99.73966  99.94498  99.90996 100.16986 100.02000  99.98000 #>  [67404]  99.89995 100.27961 100.06998  99.71961 100.09995  99.75470 100.37430 #>  [67411]  99.75971 100.08496  99.85990 100.28958 100.75713 100.07497 100.30952 #>  [67418]  99.98500  99.60422 100.34441 100.06998  99.98500 100.82658  99.99500 #>  [67425] 100.38924 100.23971  99.78978 100.13990  99.98500  99.98000 100.19980 #>  [67432] 100.53855 100.15987 100.31451  99.83486  99.99000  99.89995 100.23971 #>  [67439] 100.06998 100.06998 100.15987  99.97000 100.32946 100.07997 100.26465 #>  [67446] 100.07497  99.85489  99.48869 100.55347 100.34441  99.87492  99.43339 #>  [67453]  99.64437 100.08496 100.03499 100.05998  99.61928 100.07997  99.46356 #>  [67460]  99.94498  99.81483 100.05498 100.03499  99.77475  99.68450  99.47361 #>  [67467]  99.83987 100.28958  99.68952 100.23472  99.88994  99.84488 100.25468 #>  [67474]  99.76472 100.14989 100.50373 100.28460  99.95499  99.26228  99.87993 #>  [67481]  99.77976  99.64939 100.15987  99.81984  99.80982  99.81483  99.47361 #>  [67488]  99.77976 100.07997  99.74467  99.87993  99.58916 100.83154  99.99500 #>  [67495]  99.83987 100.13990 100.06498 100.22475  99.98000 100.13990  99.18165 #>  [67502]  99.64437 100.06998 100.14989 100.34441  99.58916  99.70456  99.68450 #>  [67509]  99.65440 100.03499 100.38924  99.84488  99.84488  99.67447  99.52889 #>  [67516] 100.42410 100.13491  99.87492 100.10494  99.88994  99.93998  99.95499 #>  [67523] 100.02500 100.45397  99.87492 100.48881  99.86992  99.39316  99.79980 #>  [67530]  99.74969  99.83486  99.90996  99.91496  99.86992 100.25966 100.04999 #>  [67537]  99.87993 100.05998  99.63433  99.73966  99.97500  99.41831 100.32946 #>  [67544]  99.61928  99.85489 100.28460 100.43406  99.82485 100.43406 100.29955 #>  [67551]  99.85489  99.62931 100.02500  99.95999  99.59920  99.36800 100.03000 #>  [67558] 100.55844 100.22475 100.31451  99.96499 100.34441 100.01500 100.23472 #>  [67565]  99.80982 100.13990 100.05498 100.18982 100.44899 100.27961  99.82485 #>  [67572]  99.87993  99.87993 100.33444  99.80982  99.94999 100.48881  99.58916 #>  [67579] 100.41414 100.18483  99.90495 100.24969  99.97000  99.53894 100.31949 #>  [67586] 100.50871  99.57409 100.22475  99.91997 100.11493  99.33277  99.83486 #>  [67593] 100.35935 100.60815  99.86992  99.99500  99.71961 100.24470  99.54898 #>  [67600]  99.98000  99.84488 100.60318  99.92497  99.81483  99.55903  99.35291 #>  [67607] 100.30454  99.91997  99.88994  99.86992  99.54396 100.21976 100.11493 #>  [67614] 100.07997 100.15987 100.02500  99.99000 100.06498 100.17485 100.14989 #>  [67621] 100.14989  99.35794 100.48881  99.97000 100.17485  99.76472  99.48367 #>  [67628]  99.79980  99.74969  99.42334  99.67447 100.14989 100.25966  99.88493 #>  [67635] 100.38426  99.63433 100.10994  99.83486  99.70958 100.25468  99.78477 #>  [67642] 100.23472  99.86491  99.99000  99.69453 100.03499  99.72963 100.12992 #>  [67649] 100.45397 100.04499  99.53894  99.49372 100.29457  99.87492 100.19980 #>  [67656] 100.04999  99.45853  99.79980  99.95999  99.61426 100.00000  99.37807 #>  [67663]  99.85489  99.82485  99.65942 100.17485  99.89494 100.48881 100.38924 #>  [67670]  99.70456  99.91496 100.44401  99.99000  99.68450  99.74467 100.29457 #>  [67677] 100.10994  99.52387 100.36434  99.95499  99.62429  99.55903  99.45351 #>  [67684] 100.22974 100.11493  99.69453 100.19980  99.41328 100.30454  99.74467 #>  [67691]  99.74467 100.46890  99.67949  99.60924 100.37928 100.20479 100.12492 #>  [67698]  99.58414  99.84488 100.28958  99.90996 100.09995 100.26964 100.04499 #>  [67705]  99.60422 100.09495  99.74969  99.54396 100.09995 100.07497 100.14989 #>  [67712]  99.93498  99.60422  99.93498  99.34787  99.85990 100.35437  99.61928 #>  [67719] 100.26964  99.88994  99.96499 100.39920 100.18982  99.92998 100.05498 #>  [67726] 100.19481 100.05498 100.29457 100.32946 100.20479 100.02500 100.03000 #>  [67733] 100.57336  99.60924 100.39920  99.93498 100.16986  99.80982 100.17485 #>  [67740] 100.57336 100.24470 100.44401 100.31451  99.55903 100.33444 100.24470 #>  [67747]  99.89494  99.65942 100.06498  99.80982 100.25468  99.70456 100.28460 #>  [67754]  99.93998 100.20978  99.86491 100.05498 100.36932  99.77475  99.26732 #>  [67761] 100.18483  99.81984 100.31949 100.11993  99.69955 100.14490 100.13990 #>  [67768]  99.47864  99.75971 100.25468 100.24470 100.51865  99.66444 100.57336 #>  [67775] 100.25966 100.08496 100.51368 100.01000 100.31451  99.45853 100.15488 #>  [67782]  99.62931  99.95499  99.90495 100.43406 100.47885 100.39422 100.19980 #>  [67789]  99.98000  99.82986 100.40916  99.71459 100.06998  99.78477  99.68952 #>  [67796]  99.89494  99.94498 100.20479 100.27462  99.61928  99.95499  99.85489 #>  [67803]  99.65942  99.81984 100.09995  99.94999 100.06498 100.03000  99.75971 #>  [67810] 100.10994 100.13990  99.46859 100.06498 100.43406 100.44899  99.38310 #>  [67817]  99.97000 100.08996 100.12492 100.09495 100.29955 100.20978 100.29457 #>  [67824]  99.86491 100.26465 100.19481 100.39422 100.26465  99.69453  99.98500 #>  [67831] 100.09495 100.38924  99.91997 100.03000 100.37430 100.42908  99.79980 #>  [67838] 100.17485  99.96499  99.76973  99.64437  99.87993  99.93498  99.80982 #>  [67845]  99.93998  99.77475  99.68450  99.69955 100.19980 100.11993 100.33942 #>  [67852] 100.03999  99.94999 100.12492 100.05498 100.08496 100.22475  99.99000 #>  [67859]  99.74467 100.09495 100.33444 100.43406 100.22475 100.05998 100.14490 #>  [67866]  99.94498 100.01000  99.96499  99.62429  99.87492  99.92998  99.54396 #>  [67873]  99.99000 100.17984 100.14989  99.90495 100.10494  99.95999  99.95499 #>  [67880] 100.04499  99.77475 100.19481 100.20978 100.01000 100.18982 100.02000 #>  [67887]  99.89995 100.33444  99.75470 100.09495 100.03499 100.08996 100.09995 #>  [67894] 100.47885  99.49372  99.89494 100.06998  99.75971  99.27739 100.26465 #>  [67901]  99.86992  99.73465 100.24470 100.34441 100.02000  99.92497 100.35437 #>  [67908] 100.09495  99.88994 100.24470 100.02500 100.00500  99.45853 100.03499 #>  [67915]  99.69955 100.23472 100.47388  99.91997 100.08496 100.22475 100.17984 #>  [67922]  99.87492 100.03499 100.25966 100.07497 100.00500 100.58330  99.92497 #>  [67929]  99.93498  99.67949 100.23472 100.31451  99.64437  99.49874 100.27961 #>  [67936] 100.10494 100.21976 100.04499 100.05498  99.70958  99.77976 100.03000 #>  [67943] 100.10994 100.14490  99.90495  99.77475 100.23472 100.43904 100.03000 #>  [67950] 100.19980  99.51382 100.01500  99.26732 100.15987 100.02000  99.45853 #>  [67957] 100.04499  99.58414 100.67770  99.57409  99.74969 100.14989  99.70958 #>  [67964] 100.05998 100.24470  99.56405 100.14989 100.19980 100.20479 100.14490 #>  [67971]  99.80481 100.03499 100.06498  99.77976  99.74969 100.65287  99.71459 #>  [67978] 100.43904  99.93998  99.79980  99.88994 100.23971  99.75971  99.36297 #>  [67985] 100.50871 100.18982 100.32447 100.10994 100.43406 100.42410  99.94498 #>  [67992] 100.60815  99.79980 100.11993  99.88493 100.31949  99.83987 100.20978 #>  [67999] 100.07497  99.95499 100.34441 100.28460 100.25966  99.58414  99.87492 #>  [68006]  99.80982 100.14490  99.87492 100.05498  99.79479  99.78477 100.27961 #>  [68013]  99.62931  99.91997  99.91496  99.95499  99.97000 100.20479  99.77976 #>  [68020]  99.64437 100.10994  99.56907  99.56907  99.83486 100.01000  99.29250 #>  [68027] 100.16486 100.03999  99.92497  99.99000  99.91997  99.85990  99.76472 #>  [68034]  99.97500 100.42908  99.75470 100.36434  99.69453 100.04999  99.98500 #>  [68041]  99.89494  99.97500 100.07497  99.72963  99.83486 100.11493  99.90996 #>  [68048] 100.17984  99.99000  99.93998  99.95499 100.39920 100.21477 100.00000 #>  [68055]  99.81483 100.48383 100.29955  99.68952 100.03000 100.05498  99.84989 #>  [68062] 100.08996  99.61426 100.58330  99.55401 100.30454  99.80982 100.38426 #>  [68069] 100.21477  99.77976 100.42908 100.09995 100.04499  99.76472 100.06498 #>  [68076]  99.64939 100.07497  99.75971 100.07497  99.71459 100.21976  99.92497 #>  [68083] 100.17984 100.22974  99.99000 100.39920 100.20479 100.17984 100.39422 #>  [68090] 100.00500 100.38924 100.11993  99.92497  99.82485  99.65942 100.21976 #>  [68097] 100.14490 100.10494  99.57409  99.98500  99.82986 100.24470 100.45397 #>  [68104]  99.99500 100.24969 100.14490  99.27235 100.05498  99.99500 100.10494 #>  [68111] 100.09995  99.43339  99.94498  99.80982 100.06498 100.39920 100.37430 #>  [68118]  99.50879  99.76973 100.10994  99.35291  99.93998 100.38924  99.69955 #>  [68125]  99.85489  99.91997 100.00500 100.48881 100.62306 100.14490  99.65440 #>  [68132] 100.28958  99.78978  99.66945 100.01500  99.68952 100.13990  99.72963 #>  [68139]  99.76472 100.03000 100.00500  99.71961 100.24470  99.90495  99.69453 #>  [68146]  99.73966 100.71743  99.38813  99.58916 100.07497  99.45853  99.63935 #>  [68153]  99.99000 100.02500 100.46392 100.49378 100.19980  99.67447 100.10494 #>  [68160] 100.45397  99.85489  99.66945  99.62429  99.42334  99.50879  99.97500 #>  [68167]  99.73465 100.24470 100.06998  99.58414 100.02000  99.75971 100.24470 #>  [68174] 100.06498 100.01000  99.88493 100.35437 100.04499 100.56838 100.18982 #>  [68181] 100.01000  99.88994  99.82986  99.78978  99.80982  99.97000 100.35935 #>  [68188]  99.95499  99.74969  99.54898  99.93998  99.97000  99.47361 100.04999 #>  [68195] 100.10494  99.93498 100.15987 100.00000  99.45853  99.66444 100.12492 #>  [68202]  99.91496  99.77475 100.18982  99.95499  99.87492  99.91496 100.15987 #>  [68209]  99.82485  99.84989  99.63433 100.23971 100.15488 100.02500 100.02500 #>  [68216]  99.48367  99.54898  99.58916 100.11493  99.75971  99.92998  99.83486 #>  [68223] 100.18483 100.33444 100.13491  99.84989 100.20978 100.18982  99.67447 #>  [68230] 100.32946 100.13491  99.63433  99.81483  99.83987 100.02500 100.50871 #>  [68237] 100.23971  99.36800 100.18483  99.92998 100.14490  99.57911  99.75971 #>  [68244]  99.79479  99.77976  99.72963 100.10494  99.79980 100.23971  99.88994 #>  [68251] 100.17485 100.03999 100.34939  99.51382 100.53358  99.89494 100.39920 #>  [68258] 100.22974 100.32447  99.97000 100.42410 100.20978 100.00500  99.97500 #>  [68265]  99.57409 100.14490 100.26465  99.86491  99.60422  99.94498 100.61809 #>  [68272] 100.05998  99.84488  99.81984 100.39920 100.74225  99.66444 100.24470 #>  [68279]  99.90996 100.30952 100.16486 100.01500 100.31949 100.03999 100.34939 #>  [68286] 100.56341  99.98500 100.21477  99.94999  99.89995  99.84488  99.98000 #>  [68293] 100.12492  99.78477 100.26465 100.15488  99.44848 100.30952 100.09995 #>  [68300] 100.37430  99.84488  99.91496 100.07997  99.51884  99.90996 100.35437 #>  [68307] 100.50373 100.22974  99.62429 100.07497  99.94498  99.49874 100.12992 #>  [68314]  99.88994  99.75971 100.14490 100.13990 100.38924 100.35935  99.86491 #>  [68321] 100.19980  99.59418  99.67447  99.72462 100.24470 100.03499 100.35437 #>  [68328]  99.86491 100.01500 100.20978 100.29457 100.23472 100.09995 100.17984 #>  [68335] 100.37430 100.61312  99.78477  99.65942 100.25468  99.60422 100.16986 #>  [68342] 100.10494 100.18982  99.70456  99.72963  99.96499  99.54898  99.58414 #>  [68349] 100.03499 100.08496  99.81483 100.15488 100.13990  99.71459 100.18483 #>  [68356]  99.84989  99.94498 100.53358 100.06998  99.71961 100.13990 100.22974 #>  [68363]  99.91997  99.32271 100.26465  99.68952 100.62803 100.51865 100.18982 #>  [68370] 100.41414 100.48881 100.48383  99.66444 100.36434 100.01500 100.27462 #>  [68377]  99.81984  99.94999  99.76472  99.97000  99.71459  99.64939  99.60422 #>  [68384]  99.95999  99.91496 100.20479  99.56405 100.21477  99.69453 100.15488 #>  [68391]  99.31264 100.35437  99.67949 100.24470  99.38813  99.78978  99.62931 #>  [68398] 100.08496 100.15488 100.00500 100.08996  99.42334  99.77475 100.03000 #>  [68405]  99.58916 100.32946  99.98000  99.72462  99.86491 100.25966 100.17984 #>  [68412]  99.71459 100.37430  99.82986  99.76472 100.68764  99.77475 100.26465 #>  [68419] 100.00500  99.57911  99.75470  99.59920  99.88994  99.61426  99.77475 #>  [68426]  99.67447  99.50879  99.75470  99.80982  99.80982  99.85990  99.92497 #>  [68433] 100.13990 100.48881 100.03999  99.59418 100.47885 100.03999 100.32447 #>  [68440]  99.67447 100.31949 100.53855 100.13990 100.06498 100.03999 100.18982 #>  [68447]  99.77475 100.36932  99.74467 100.44899  99.81984  99.58414 100.09495 #>  [68454]  99.80982 100.08496  99.87993 100.53855 100.13491 100.13990  99.56405 #>  [68461]  99.39316  99.92497  99.83486 100.04999  99.77976  99.97000 100.33942 #>  [68468] 100.00500 100.01000  99.66444 100.30454 100.08496  99.63935  99.84989 #>  [68475]  99.41328  99.48869 100.03999 100.01000 100.38426 100.14490 100.09495 #>  [68482] 100.32447 100.14490 100.01000 100.17984  99.26228 100.05498 100.01000 #>  [68489] 100.41912  99.89494  99.65440  99.42837  99.40322  99.78477  99.76472 #>  [68496] 100.12992 100.42908 100.24969 100.63797 100.20479  99.77475 100.24969 #>  [68503]  99.95499  99.66444 100.10994 100.03000  99.95999  99.90996  99.81984 #>  [68510]  99.91997 100.03000  99.78978  99.73966  99.86491  99.83987  99.70958 #>  [68517] 100.26964  99.72462 100.03000  99.83486  99.91496 100.39422 100.18982 #>  [68524]  99.76472 100.18982 100.68267  99.95499  99.88493  99.94498  99.96499 #>  [68531] 100.04499  99.83987 100.02000  99.82986 100.52860 100.36932  99.72963 #>  [68538]  99.89494 100.68267 100.15987 100.16986 100.53358  99.71961  99.54898 #>  [68545]  99.78477 100.36932 100.03000 100.20978  99.52387 100.12992  99.86491 #>  [68552] 100.16986 100.35935  99.71459  99.62931 100.30454 100.43904  99.92497 #>  [68559] 100.76706 100.01000  99.65440  99.72963 100.24969  99.74467 100.51865 #>  [68566] 100.29955  99.89494  99.82485 100.28460  99.89995  99.63935  99.84488 #>  [68573]  99.66444  99.72963 100.19481 100.03000 100.25468  99.52889 100.57336 #>  [68580]  99.92998  99.82986 100.15488 100.19980  99.81984 100.13990  99.60422 #>  [68587]  99.95999  99.93998 100.06498 100.32447 100.55844  99.96499 100.00500 #>  [68594]  99.97000 100.03499 100.17984  99.74969 100.23971  99.92497 100.03000 #>  [68601]  99.80982 100.13990  99.56405 100.05998 100.03499  99.72462 100.18483 #>  [68608] 100.05998 100.01000  99.50879  99.92998  99.85489 100.00500 100.22475 #>  [68615]  99.90996 100.05498  99.93998 100.84146 100.62803  99.54396 100.13491 #>  [68622]  99.69453 100.20978  99.49874 100.16486 100.05498  99.70456 100.29955 #>  [68629]  99.77976 100.39920  99.83987 100.08496 100.11493 100.55347  99.82485 #>  [68636]  99.84989  99.98000  99.96499 100.27961 100.17984  99.92497  99.62429 #>  [68643]  99.50377 100.02000 100.14989 100.54850  99.73966 100.63797 100.31451 #>  [68650] 100.04499 100.04999  99.82485 100.25966  99.80481 100.46890  99.70958 #>  [68657] 100.04499  99.91496  99.66945 100.25468 100.16986  99.81483  99.69955 #>  [68664]  99.75971 100.32946 100.32447  99.90495 100.00500  99.55903  99.81483 #>  [68671]  99.83486  99.92497  99.81984  99.73465  99.78477 100.04499 100.26964 #>  [68678]  99.55401  99.85990 100.27961  99.82485  99.72462 100.35935 100.55844 #>  [68685] 100.14989  99.81984  99.68952 100.32447 100.51865 100.14490 100.01000 #>  [68692]  99.95499 100.09995 100.43904  99.91997 100.01500 100.73728 100.04999 #>  [68699] 100.11993 100.26465  99.61928 100.38924  99.77976 100.31949 100.16486 #>  [68706] 100.11993  99.81984 100.12992  99.58916 100.21477  99.52889  99.82485 #>  [68713] 100.30454 100.38924 100.03499 100.06498  99.96499  99.58916  99.43339 #>  [68720]  99.96499 100.04499 100.33444  99.94498  99.87993 100.49876  99.84488 #>  [68727] 100.06498  99.99000  99.66945  99.96499 100.21477  99.76973 100.47388 #>  [68734]  99.82986 100.04499 100.14490 100.07497  99.79980 100.74721  99.46356 #>  [68741] 100.18483 100.16986  99.66444 100.18982  99.82986  99.59920  99.74467 #>  [68748]  99.41831 100.10994  99.98000  99.70958  99.94999  99.96499  99.87492 #>  [68755] 100.10494 100.41414 100.15987 100.11493  99.96499  99.45853  99.92998 #>  [68762] 100.00500  99.85990  99.90495 100.39920 100.11993  99.99000 100.04499 #>  [68769]  99.82485  99.76472  99.78978  99.86992  99.63433 100.13990  99.73966 #>  [68776] 100.11493 100.50871  99.75971 100.71246 100.23971  99.83987  99.94999 #>  [68783] 100.21477  99.94999 100.13491  99.71961  99.57911 100.07997  99.61426 #>  [68790]  99.98500  99.57409  99.63935 100.20978  99.78978  99.54898 100.15488 #>  [68797]  99.91496  99.79479  99.63433 100.17485 100.05498  99.63433 100.00000 #>  [68804]  99.89995 100.59821  99.84989  99.75470 100.33942 100.26964 100.09995 #>  [68811]  99.87993  99.90996 100.02000 100.16486 100.20479  99.95499  99.87492 #>  [68818] 100.16986 100.26465 100.44401 100.27961 100.09495 100.27462  99.96499 #>  [68825]  99.99500  99.62429 100.42908 100.05998 100.32946  99.91997 100.18982 #>  [68832]  99.96499  99.78477 100.43406 100.15488  99.37807 100.28460  99.71459 #>  [68839] 100.01000 100.25966 100.16486  99.62931 100.18982  99.80481  99.63935 #>  [68846]  99.68450  99.88994  99.58916  99.98500  99.79479  99.92497 100.09495 #>  [68853] 100.61312 100.05998  99.81984 100.11993 100.27462  99.67447 100.02500 #>  [68860] 100.17485  99.68952  99.62931 100.08496 100.45397  99.91496 100.16486 #>  [68867]  99.97000  99.60924  99.86491 100.16986  99.82485 100.04499 100.03999 #>  [68874] 100.23472  99.67949  99.94999  99.62931 100.16986 100.14490 100.39422 #>  [68881]  99.93998 100.32946 100.21477  99.77475 100.41912  99.98500 100.36932 #>  [68888] 100.02000  99.95999  99.74969  99.97000 100.31949 100.06998 100.02500 #>  [68895] 100.37430  99.98000  99.69453 100.25468  99.80481  99.46859 100.30454 #>  [68902]  99.70958 100.16986  99.99000 100.07997  99.87492  99.47361  99.93498 #>  [68909] 100.01500  99.75470 100.32447  99.70456  99.85990 100.48383 100.01500 #>  [68916]  99.89494 100.21477 100.01000 100.43406 100.36434  99.76973 100.01000 #>  [68923]  99.78978  99.72963  99.94498  99.70456 100.11993 100.02000  99.73465 #>  [68930]  99.80481  99.90495  99.88493 100.55844 100.29955  99.67949  99.70958 #>  [68937]  99.76973 100.29457 100.16986 100.20978  99.60924 100.17984 100.09995 #>  [68944]  99.86491 100.01000  99.63433  99.71459 100.42410  99.86992  99.62931 #>  [68951] 100.05498 100.04999 100.21976 100.09495  99.77475 100.00500  99.62429 #>  [68958] 100.12992  99.54898 100.06498 100.08996 100.23472 100.38924 100.21477 #>  [68965] 100.11993 100.52860 100.41912 100.20479 100.24470 100.03999 100.29955 #>  [68972] 100.61312 100.29955 100.03499  99.77976 100.01000 100.17984 100.32946 #>  [68979] 100.12492 100.55347  99.77475  99.71961  99.86491 100.26465 100.06498 #>  [68986]  99.78477  99.89995  99.60422 100.22475 100.45397  99.67949  99.72963 #>  [68993]  99.89995 100.04499  99.48869  99.96499  99.62429  99.88994 100.01500 #>  [69000] 100.06498  99.97000 100.36932 100.35935  99.71961  99.93998 100.29955 #>  [69007] 100.22475  99.83486  99.76472 100.07497 100.65287 100.04999  99.44345 #>  [69014] 100.32946  99.92497 100.23971 100.18982  99.94999  99.91496  99.73465 #>  [69021]  99.79980 100.53358  99.86491 100.02000 100.42410 100.08496  99.74467 #>  [69028]  99.97500 100.01000 100.41912 100.55347 100.51865  99.99500 100.06998 #>  [69035] 100.17984 100.11993  99.73465 100.18483 100.13990 100.42908  99.31767 #>  [69042] 100.41414 100.41912 100.33942  99.98500  99.72963  99.94498 100.29955 #>  [69049]  99.72963  99.94999 100.49378 100.03999  99.71459  99.71961 100.43406 #>  [69056]  99.95499 100.03499 100.21976 100.18483 100.30952  99.93498 100.18483 #>  [69063]  99.97500  99.69955 100.40916  99.95999 100.40916 100.03000  99.78978 #>  [69070]  99.81483  99.59418 100.09995  99.66945 100.21976  99.92497 100.08996 #>  [69077]  99.89494 100.11993 100.05498  99.88994 100.47885 100.27961 100.25468 #>  [69084] 100.26964  99.95999  99.85489  99.90495  99.63935  99.68450  99.94498 #>  [69091] 100.29955 100.19481 100.14989  99.85489 100.41414  99.77475 100.08996 #>  [69098]  99.84989  99.56907 100.15488 100.71246 100.06998 100.25468 100.15488 #>  [69105] 100.11493 100.13491 100.39422  99.91997  99.84989 100.37430  99.85990 #>  [69112]  99.59920  99.54898  99.74969  99.82485 100.08996  99.81984  99.75971 #>  [69119]  99.97000 100.47388  99.87993 100.59324  99.58916 100.58827  99.55903 #>  [69126] 100.14989  99.98000  99.62429 100.09495  99.87993  99.59418  99.93998 #>  [69133]  99.99000 100.38426  99.98500 100.06498 100.48383  99.56907  99.81483 #>  [69140]  99.90495  99.71961 100.50373  99.80982 100.32946  99.97000  99.69453 #>  [69147]  99.56405  99.45853 100.08496  99.88493 100.03499  99.95999  99.80982 #>  [69154] 100.15488 100.05998  99.72963 100.38426  99.73966 100.08996  99.80982 #>  [69161]  99.76973 100.25468 100.29457 100.02500 100.09995 100.12992  99.90996 #>  [69168]  99.89995 100.54850  99.92497 100.25966 100.34939  99.62429  99.68952 #>  [69175] 100.18483 100.51865  99.66444  99.75971  99.93498  99.96499 100.49378 #>  [69182] 100.29457 100.52860  99.76973 100.63300  99.99000  99.98500  99.89995 #>  [69189] 100.45397 100.48383  99.45853  99.77976 100.04999 100.03999  99.99000 #>  [69196] 100.14490 100.49378 100.29457  99.94498 100.09995  99.54396 100.38426 #>  [69203] 100.18483  99.89494 100.16986  99.82485 100.21976 100.07997 100.00500 #>  [69210] 100.34939  99.93498 100.37430  99.69453 100.54850  99.39819  99.93498 #>  [69217] 100.12492 100.26465 100.15987 100.07497 100.32447  99.63935 100.04999 #>  [69224]  99.92497 100.48881 100.32447  99.79479  99.56907  99.95499 100.05998 #>  [69231] 100.31949  99.98000 100.15987  99.99500 100.03000  99.91496 100.35437 #>  [69238]  99.98500 100.08496  99.85489  99.91997 100.07497 100.04499 100.29955 #>  [69245] 100.17984 100.07497  99.84989  99.84989 100.02500 100.53855  99.76973 #>  [69252]  99.67949 100.27961  99.65942 100.22475 100.25468 100.09495 100.23971 #>  [69259]  99.75470  99.38310  99.89995 100.40916  99.71961  99.79479  99.97500 #>  [69266]  99.75470  99.99000  99.92497 100.36434  99.84989 100.20479  99.92497 #>  [69273]  99.87492  99.65942 100.40418 100.10494  99.70958 100.48383 100.05498 #>  [69280]  99.86491 100.20479  99.86491  99.67949 100.30454 100.03000 100.30454 #>  [69287] 100.26964  99.95499  99.55903  99.72462 100.37928 100.52860  99.99000 #>  [69294] 100.26964  99.55401 100.53358  99.95999 100.58827  99.59920  99.87492 #>  [69301]  99.77976  99.92998  99.61928  99.87492  99.87492  99.88994  99.74467 #>  [69308] 100.25468 100.26465  99.48869  99.88994 100.08996  99.91997 100.59324 #>  [69315] 100.18483 100.69757 100.06998 100.07997  99.16148  99.32774 100.03499 #>  [69322] 100.07497  99.97500  99.86992 100.31451 100.49876  99.52387 100.03499 #>  [69329]  99.96499  99.72462 100.14490  99.52889 100.49876 100.05498 100.14490 #>  [69336] 100.02500  99.85990  99.87492  99.67447  99.92497 100.08496 100.05498 #>  [69343] 100.21477  99.91997 100.32946  99.50377  99.79980  99.76973  99.87492 #>  [69350] 100.13491  99.97000 100.22475 100.02500  99.97500  99.79980  99.55903 #>  [69357] 100.11493  99.92998  99.49372 100.17984 100.35935 100.44899 100.37928 #>  [69364]  99.62931  99.81984  99.77976  99.74467  99.44848 100.39920 100.51368 #>  [69371] 100.55347 100.08996 100.19481  99.81483  99.67447  99.80982  99.81483 #>  [69378]  99.38813  99.76973  99.80481 100.20479  99.43339 100.19980  99.93998 #>  [69385] 100.02500 100.16486 100.46392 100.61809 100.25966 100.54352  99.86992 #>  [69392] 100.24470 100.26465 100.16486 100.38426 100.04999 100.03499 100.02500 #>  [69399]  99.54898 100.09495  99.70958 100.39920  99.94999  99.53894  99.76472 #>  [69406]  99.94999  99.88994 100.75217 100.48383 100.04499  99.48869 100.04999 #>  [69413]  99.88493  99.94498  99.92998  99.62931  99.74467  99.78477  99.37303 #>  [69420] 100.01500 100.03000  99.73966 100.39422  99.91997 100.41414  99.94498 #>  [69427]  99.76973 100.00000 100.01500  99.70958 100.28958  99.88493  99.78978 #>  [69434] 100.04999 100.00000 100.40418  99.98000  99.58414 100.06498 100.10494 #>  [69441] 100.47388  99.96499 100.13491  99.87993  99.81483  99.72963  99.98500 #>  [69448]  99.94498  99.97500  99.46356  99.97500  99.52387 100.21477 100.15987 #>  [69455] 100.16486  99.66444 100.05498 100.51865  99.73465 100.19980  99.78477 #>  [69462] 100.33942 100.10494 100.45397  99.99500  99.95999  99.62429 100.28460 #>  [69469]  99.94999  99.78477 100.00000 100.17485  99.75971 100.23971  99.40322 #>  [69476] 100.09495  99.80481  99.97500 100.07997 100.20978 100.15987 100.14989 #>  [69483]  99.54396 100.08496 100.39920  99.80982  99.97000 100.16986  99.96499 #>  [69490]  99.59920  99.66945 100.32946  99.92497 100.07997 100.18483  99.73465 #>  [69497]  99.74969 100.44401 100.05998 100.10494  99.95999 100.26465  99.95999 #>  [69504]  99.99000 100.50871 100.10994 100.02000  99.68450  99.89995  99.81483 #>  [69511] 100.20978 100.19481  99.71961 100.07497  99.86992 100.35437 100.24969 #>  [69518] 100.33942  99.87993 100.26465 100.01000  99.62429 100.03000  99.97500 #>  [69525]  99.37807  99.60422 100.58827  99.87492  99.93998 100.54850 100.47885 #>  [69532] 100.07497 100.30454  99.58414 100.06998 100.11493 100.01000  99.70456 #>  [69539] 100.32447  99.99000 100.47885 100.13491 100.00000 100.16486  99.91496 #>  [69546]  99.85489  99.63935  99.57911 100.56341 100.12992 100.13990  99.86491 #>  [69553] 100.00000  99.65942  99.44848  99.36800  99.77976  99.65942 100.05498 #>  [69560]  99.71459 100.22974 100.05498 100.14490 100.05498  99.88493  99.67949 #>  [69567]  99.95999  99.94999  99.84989 100.24969  99.82485 100.19980  99.54898 #>  [69574]  99.51884  99.85990  99.94498 100.83650  99.90996  99.55401  99.61928 #>  [69581] 100.14490 100.32447  99.97000  99.76472 100.12492 100.01500  99.97500 #>  [69588]  99.58916 100.30454  99.47361 100.02500  99.91496 100.24969  99.85489 #>  [69595] 100.29955  99.76472 100.37928 100.32946 100.46392  99.38813  99.72963 #>  [69602]  99.90996  99.65440  99.42334 100.78690 100.08496  99.61928  99.51382 #>  [69609]  99.79479  99.99000 100.13491 100.41912  99.68952 100.01000  99.96499 #>  [69616]  99.77976 100.00000 100.19481 100.26964 100.14989  99.87993  99.89494 #>  [69623] 100.24470 100.02000  99.73465 100.05998  99.60924 100.19980 100.47885 #>  [69630]  99.81483  99.99000 100.31451 100.22974  99.88994 100.26465  99.79980 #>  [69637] 100.13491  99.80481  99.65440  99.97500  99.97000  99.87492  99.85990 #>  [69644]  99.90495 100.23472  99.77976  99.71961 100.06998 100.01500  99.39819 #>  [69651] 100.31451  99.35794  99.77475 100.25966  99.89494 100.18483 100.05998 #>  [69658]  99.97000 100.21477  99.69955  99.86992  99.76973  99.38813  99.73966 #>  [69665] 100.00500 100.03000 100.01000  99.93998  99.91997  99.90495  99.72963 #>  [69672] 100.28460  99.81483  99.89494 100.39422 100.09495 100.02500  99.76973 #>  [69679]  99.88493 100.02500  99.36297  99.83486 100.31451  99.81483 100.20978 #>  [69686] 100.23971 100.01000  99.91997 100.45397  99.86491 100.06998  99.76973 #>  [69693] 100.16986  99.63935 100.04499 100.20479  99.84488  99.77475 100.28460 #>  [69700] 100.04999  99.98000  99.62429 100.38924  99.87993 100.25468  99.93998 #>  [69707] 100.05998 100.80179 100.15987 100.33444 100.56838 100.33942  99.84989 #>  [69714]  99.93998  99.60924  99.79479 100.08496 100.28460 100.00000 100.21976 #>  [69721]  99.89995 100.08996 100.22475 100.58330  99.82986  99.52387  99.81984 #>  [69728]  99.97000  99.50377  99.85489  99.82986  99.45351 100.50871 100.19980 #>  [69735] 100.41912 100.12492  99.58916 100.14490 100.01000 100.24470  99.50879 #>  [69742]  99.82986 100.00500  99.54396  99.66444  99.84488 100.07997  99.90495 #>  [69749] 100.04499 100.07997 100.27961 100.46890  99.69955  99.86992 100.18982 #>  [69756] 100.46890 100.02500  99.85489  99.56907 100.66777  99.95499 100.05498 #>  [69763]  99.71459 100.02000 100.03499  99.67447  99.75470  99.86491  99.72963 #>  [69770] 100.31451 100.28460 100.04999  99.93998 100.10994  99.87993  99.94498 #>  [69777]  99.82986  99.71961 100.36932  99.86491 100.04999 100.56341 100.48383 #>  [69784]  99.74467  99.56907  99.81984 100.57336  99.36297 100.44401 100.37430 #>  [69791]  99.97000  99.75971 100.17485 100.03999  99.38310 100.26964 100.09495 #>  [69798] 100.22475 100.05498  99.28243 100.10494 100.38426  99.77475  99.38813 #>  [69805]  99.65942  99.76973  99.61426  99.39819  99.61426  99.95999  99.59418 #>  [69812] 100.14989  99.95499 100.12492  99.59920 100.30952 100.54850  99.59920 #>  [69819] 100.01000 100.41912  99.77475 100.25468 100.05998  99.43842 100.35935 #>  [69826]  99.44848 100.03999 100.41912  99.95999  99.81483  99.72462 100.49876 #>  [69833]  99.78477 100.09495 100.16986 100.40418 100.11493  99.38813 100.20479 #>  [69840] 100.30952 100.24470  99.82986 100.26465  99.91496  99.49874  99.73966 #>  [69847] 100.04499 100.03000 100.28958  99.93498 100.29955  99.98500 100.02500 #>  [69854] 100.19481  99.89995 100.12492 100.13990 100.06998 100.05998 100.38924 #>  [69861] 100.22974  99.75971  99.63935 100.32447 100.05498  99.90996 100.51368 #>  [69868] 100.11993 100.11493 100.20978  99.80481 100.33444 100.63797 100.24470 #>  [69875]  99.44345 100.05998 100.14490  99.67447 100.22475 100.40916 100.06998 #>  [69882]  99.54396  99.99000 100.10494 100.21976 100.16486  99.52387  99.93998 #>  [69889]  99.63433 100.13491  99.81984  99.54898  99.93998  99.93498 100.19980 #>  [69896] 100.33444 100.35935  99.65942 100.04999 100.19481  99.43339 100.31451 #>  [69903]  99.91997  99.90495 100.02500 100.22974 100.01000  99.73465  99.89494 #>  [69910] 100.14989  99.50377 100.33942 100.57833  99.88994  99.83987 100.39920 #>  [69917] 100.35935  99.72462  99.57409 100.09495 100.08496 100.03499  99.93498 #>  [69924]  99.78477  99.63935  99.87993 100.45895  99.75470 100.37430  99.99500 #>  [69931]  99.57911  99.79479  99.99500 100.10994 100.27462 100.03999 100.54850 #>  [69938] 100.11493 100.52363 100.32447  99.68450  99.53894 100.26465 100.20479 #>  [69945]  99.73966  99.87993  99.93498  99.75470 100.09495  99.84488 100.30454 #>  [69952]  99.92998 100.35437  99.87492  99.73966 100.46890  99.77475  99.72462 #>  [69959]  99.53894 100.11993  99.50377 100.02000 100.31451 100.25966 100.45397 #>  [69966] 100.27961  99.51884 100.10994  99.20685  99.70958 100.22974 100.45397 #>  [69973]  99.95499 100.33444 100.06998  99.53894  99.54396  99.98000 100.17984 #>  [69980]  99.81483 100.22475 100.15488 100.22974  99.32774  99.67447  99.78978 #>  [69987] 100.17984  99.54898  99.90495 100.05498  99.73465  99.90996 100.28958 #>  [69994] 100.05998 100.53358 100.03499 100.14989 100.18982 100.43904  99.61928 #>  [70001] 100.03000 100.04499 100.03000  99.91496  99.88493 100.41912  99.48869 #>  [70008]  99.82986  99.68450 100.10494 100.31949 100.44899 100.05998  99.97000 #>  [70015] 100.04499  99.80481  99.77976  99.94999 100.25468  99.89995 100.00500 #>  [70022] 100.33942 100.22974 100.18982 100.02000 100.23472 100.18483 100.64790 #>  [70029] 100.03000  99.78477  99.83486 100.03999  99.59920  99.58414  99.99000 #>  [70036] 100.64293  99.84488  99.57911 100.32946  99.81984  99.76472  99.55401 #>  [70043] 100.26465 100.80675 100.41912  99.77475  99.86491  99.76472  99.85990 #>  [70050]  99.89494 100.09995 100.41912  99.55903  99.93498  99.97000  99.78477 #>  [70057] 100.38426 100.03499  99.80481  99.98500  99.79479  99.95999  99.89494 #>  [70064]  99.84488 100.14490 100.40916 100.19481 100.31451  99.79980 100.16986 #>  [70071] 100.18483 100.07997  99.73465 100.15987 100.33942 100.15987  99.53894 #>  [70078]  99.91997  99.95499 100.12992  99.67949 100.30454 100.22475 100.04499 #>  [70085] 100.05998  99.94498  99.99000 100.12992 100.02500  99.99000  99.85489 #>  [70092]  99.75971 100.59821 100.03000 100.08996  99.76973  99.88994 100.18483 #>  [70099]  99.77475 100.02500  99.61928  99.94999  99.62931 100.03000 100.26465 #>  [70106]  99.79479 100.30454 100.44401  99.76472  99.65942  99.94498 100.37928 #>  [70113]  99.91496  99.90996  99.97000 100.31949  99.64939 100.23472 100.67770 #>  [70120]  99.87993  99.83486  99.99500  99.97000 100.36932  99.67949  99.95999 #>  [70127] 100.45397  99.70958 100.11493 100.08496  99.64437 100.39920  99.41831 #>  [70134]  99.98000 100.26465 100.09495  99.93998  99.95999 100.10994 100.01500 #>  [70141] 100.97524  99.85990 100.16486  99.88994 100.02500 100.11493 100.25966 #>  [70148]  99.78477 100.31949  99.99500 100.49876 100.36932 100.33444  99.52889 #>  [70155] 100.18483 100.26964 100.10494 100.29457  99.96499  99.75470  99.78477 #>  [70162]  99.79980  99.58916  99.85990  99.73465 100.03000  99.48869 100.39422 #>  [70169]  99.94498  99.44848 100.60318 100.58827 100.61312 100.11493  99.52387 #>  [70176]  99.93998  99.83987 100.34939 100.38426 100.36932  99.72963  99.99500 #>  [70183]  99.77475 100.00000 100.19980  99.53894 100.24470 100.16486 100.22974 #>  [70190]  99.85990 100.15488 100.05998  99.58414 100.01500 100.21976 100.33444 #>  [70197] 100.56341  99.66444 100.32447  99.63433 100.00000  99.89995  99.72963 #>  [70204] 100.17485 100.00500 100.53358 100.48881 100.47885  99.97000 100.46890 #>  [70211]  99.83987 100.24470 100.41912 100.46890  99.98000 100.57833  99.89995 #>  [70218] 100.56838 100.56341 100.18483  99.92497  99.57911  99.94999  99.67949 #>  [70225] 100.03000  99.70958  99.76973 100.08496  99.84989  99.38813  99.62931 #>  [70232]  99.98500  99.60422 100.26964  99.73465  99.74467 100.50373  99.96499 #>  [70239]  99.71961 100.42410 100.22974 100.01000 100.03000 100.09495  99.30257 #>  [70246] 100.00500 100.11993  99.77976  99.77475 100.26964  99.46859 100.23472 #>  [70253] 100.16986 100.03499  99.97500 100.36434  99.52889 100.17485 100.09495 #>  [70260]  99.95499  99.40825  99.52889  99.59418  99.92497  99.90996  99.82986 #>  [70267]  99.91997  99.81483 100.12492 100.05998 100.37928  99.99000  99.99500 #>  [70274] 100.27961  99.58916  99.68952  99.86491  99.84488 100.11993  99.86491 #>  [70281] 100.01500  99.99000  99.67447 100.38924 100.09995 100.13491 100.40418 #>  [70288]  99.57409  99.78477 100.01000  99.87993 100.11493 100.29457  99.82485 #>  [70295] 100.58827  99.54898 100.28958 100.01000 100.49876 100.23971  99.40825 #>  [70302] 100.16486 100.12992 100.50871  99.74467  99.69453  99.44345 100.07997 #>  [70309] 100.36434  99.80982 100.32946 100.06498  99.59920 100.31949 100.03000 #>  [70316] 100.14989 100.29457  99.65440  99.56405  99.84989 100.27961  99.85990 #>  [70323]  99.57911  99.78477  99.54898  99.60422 100.04999 100.23472 100.13990 #>  [70330] 100.18982 100.36434 100.41912  99.94498 100.38426  99.79980  99.90495 #>  [70337] 100.31451  99.99500 100.16986  99.60924 100.09995  99.88994 100.15488 #>  [70344] 100.21477  99.84989  99.58414  99.64939 100.04499  99.82485  99.82986 #>  [70351]  99.89995  99.91997  99.69453  99.88994 100.40418 100.25966 100.18483 #>  [70358]  99.71459 100.18982  99.81984  99.92497 100.69260 100.22475 100.03000 #>  [70365] 100.37928 100.07997  99.57409  99.98000 100.34939 100.63300 100.14490 #>  [70372]  99.50377 100.37430 100.08496  99.75971 100.27462 100.15987  99.85489 #>  [70379] 100.11493  99.59920  99.77475 100.70253 100.19980 100.29955 100.28958 #>  [70386] 100.06498 100.02500  99.94498  99.76973  99.70958 100.30952 100.12992 #>  [70393]  99.90996 100.03999 100.14989 100.01000  99.67949 100.24470 100.24969 #>  [70400] 100.57336  99.83987 100.36434  99.94999 100.06998  99.67447  99.84488 #>  [70407] 100.31949 100.03999  99.61426 100.12992 100.00500  99.99000 100.11993 #>  [70414] 100.02000 100.01000  99.82986 100.11493 100.28460  99.92497 100.12492 #>  [70421] 100.14490 100.15488  99.84989  99.94999 100.20978  99.64939  99.49874 #>  [70428]  99.85990  99.79980  99.90996 100.02500 100.38924 100.21477 100.03000 #>  [70435] 100.00000 100.05998  99.81483 100.13491  99.70456 100.10494 100.21477 #>  [70442]  99.76472  99.93498 100.27462 100.20978 100.20479  99.73966 100.42908 #>  [70449]  99.97500  99.83987 100.25966  99.51382 100.16486 100.34441 100.07997 #>  [70456]  99.84989  99.76973 100.04499 100.06498 100.39920  99.47864  99.85489 #>  [70463] 100.19481  99.86491  99.69955  99.69955 100.30952 100.26964  99.70958 #>  [70470]  99.91997 100.02000  99.99500  99.37303 100.04999 100.14490 100.27961 #>  [70477]  99.92497 100.20978  99.50879 100.35437  99.80982 100.16486 100.05998 #>  [70484]  99.77475 100.03000  99.61426 100.07997 100.34939 100.08996  99.75470 #>  [70491]  99.81984 100.18483  99.76973  99.97500  99.81483  99.68952  99.85489 #>  [70498] 100.39422  99.85489  99.91496 100.19481 100.13491  99.75971 100.53855 #>  [70505] 100.02000 100.44401 100.03999  99.92497 100.38924 100.53358  99.89995 #>  [70512]  99.64437  99.91496 100.38426 100.52860 100.01500 100.07497 100.40418 #>  [70519] 100.16486 100.05998 100.03499 100.27961  99.86491 100.50373 100.27462 #>  [70526] 100.31949  99.74467 100.27462 100.33444  99.41831 100.22475  99.82986 #>  [70533] 100.22475 100.21477  99.84488 100.09995 100.07997  99.56405 100.33444 #>  [70540]  99.76472 100.24470  99.74969  99.97500  99.97000  99.75971  99.81483 #>  [70547]  99.64437  99.91496 100.52860  99.72462  99.67949 100.15987  99.63433 #>  [70554]  99.81984 100.02500 100.01500 100.14490  99.68952  99.91997 100.17984 #>  [70561] 100.60318  99.88493 100.23971  99.38310 100.07997  99.60422  99.94999 #>  [70568] 100.03000 100.10994 100.57833  99.86491 100.04999 100.13491  99.82485 #>  [70575] 100.00500 100.18483  99.73966 100.47885  99.94498  99.51884 100.65287 #>  [70582]  99.76973 100.07997  99.76472 100.05998 100.06998  99.90495 100.02500 #>  [70589] 100.38924 100.66777 100.34441 100.39920 100.20479 100.16986 100.65784 #>  [70596]  99.95499  99.98000 100.30952 100.36932  99.99000 100.20479 100.16986 #>  [70603]  99.91496 100.07497 100.22974 100.40418 100.60815 100.84146 100.13491 #>  [70610]  99.74969  99.62429  99.40322 100.24969  99.78978  99.89494  99.96499 #>  [70617]  99.48869 100.71743 100.42908 100.37430  99.74467  99.47864  99.80982 #>  [70624] 100.13491 100.24969 100.13491 100.25966 100.26465  99.88994 100.23971 #>  [70631]  99.78477 100.41912  99.46356  99.97500 100.10494 100.07997 100.36434 #>  [70638]  99.99000  99.86992  99.73966  99.50377  99.45853  99.79479  99.81984 #>  [70645] 100.07997  99.68450 100.47388 100.14989 100.06498  99.38310  99.33277 #>  [70652] 100.53358 100.74721 100.38426 100.14989  99.87993 100.51865 100.18483 #>  [70659] 100.18982  99.97000 100.12992 100.30952 100.45397  99.84488 100.11993 #>  [70666]  99.53391  99.78477  99.71961 100.12492 100.67770  99.66444  99.88994 #>  [70673] 100.13491 100.08996  99.73966 100.32447  99.71459 100.08496  99.79980 #>  [70680]  99.56907 100.25966  99.94999 100.17984  99.97500  99.56907 100.13990 #>  [70687] 100.52363  99.77475 100.22974  99.72462 100.15987 100.28958  99.92998 #>  [70694]  99.68952  99.59418  99.85990 100.15488 100.45397  99.47361  99.92998 #>  [70701] 100.21477  99.74467  99.90996  99.31767  99.82485 100.03000 100.06498 #>  [70708]  99.93498 100.26964 100.51865  99.86491 100.08996  99.82485 100.40418 #>  [70715] 100.35437  99.92998 100.13990 100.34939  99.35794  99.90495  99.90495 #>  [70722] 100.42908 100.48881  99.98000  99.91496 100.46392 100.46890  99.65440 #>  [70729]  99.40322 100.11993  99.77475  99.74969  99.87993  99.92998  99.57409 #>  [70736] 100.38924  99.84989  99.88994  99.85489 100.17485  99.93998  99.91496 #>  [70743]  99.97000  99.54396  99.52387  99.55903 100.05998 100.27961  99.67949 #>  [70750] 100.26465  99.74969  99.74969 100.35437 100.01500 100.00000 100.12492 #>  [70757] 100.20479 100.23971  99.68450 100.30952  99.77976  99.94498 100.22475 #>  [70764]  99.52889 100.11493  99.60924  99.92998 100.61809  99.94999  99.70456 #>  [70771]  99.46859  99.49874  99.68952  99.91997  99.84488 100.24969  99.75470 #>  [70778] 100.21477  99.61426 100.54352  99.57409  99.80982  99.35291  99.72963 #>  [70785] 100.48881 100.33942 100.20978 100.21477 100.16486  99.59418 100.12992 #>  [70792] 100.33942  99.78978  99.74467 100.40418  99.48367 100.10994  99.38813 #>  [70799]  99.72963  99.75470  99.76472 100.62306 100.58330  99.91997  99.86992 #>  [70806]  99.45351 100.57833  99.90996 100.13491  99.95999 100.01500  99.64939 #>  [70813] 100.09995 100.21477 100.11993  99.83486  99.85489  99.89494 100.07997 #>  [70820] 100.45895  99.86491  99.93998 100.54850  99.67447  99.50377  99.84989 #>  [70827] 100.10494 100.24470  99.85489 100.02500  99.98500 100.36434  99.49874 #>  [70834]  99.82485 100.22475 100.08496 100.55347  99.91997 100.15987 100.27961 #>  [70841] 100.44401  99.66945  99.57409  99.77475 100.12492  99.25724 100.48383 #>  [70848]  99.39819  99.51382 100.14490  99.58414  99.83987 100.33942  99.64437 #>  [70855]  99.89995  99.69453  99.63935  99.99500  99.43339  99.88493 100.20978 #>  [70862]  99.76472 100.73232 100.16986 100.11493 100.25468  99.98500  99.82986 #>  [70869]  99.58916 100.26465  99.89494  99.60422 100.40916  99.89494 100.02500 #>  [70876] 100.27462 100.02000 100.63300  99.87492  99.86491  99.96499 100.20479 #>  [70883] 100.43904 100.03499 100.01500 100.06498 100.00500  99.68952 100.31949 #>  [70890]  99.58916 100.03999 100.10994 100.23472  99.70958  99.72963  99.88994 #>  [70897]  99.95999 100.22475 100.46890 100.29955 100.29457  99.82485 100.06998 #>  [70904] 100.38426  99.85990 100.11993 100.50871  99.65942 100.03000  99.78477 #>  [70911]  99.75470 100.23971  99.89494 100.26465 100.35437 100.19481 100.10994 #>  [70918]  99.86491  99.70958 100.28958 100.18483  99.62429 100.12492 100.00000 #>  [70925] 100.02000 100.07497  99.81483 100.15987 100.42908  99.67447 100.60318 #>  [70932]  99.58414 100.03499  99.94999 100.46392  99.66444  99.86992  99.62429 #>  [70939] 100.72239  99.98500  99.88493 100.70750  99.95499  99.91997 100.01500 #>  [70946]  99.73465  99.47864  99.87993 100.32946  99.73465  99.99000  99.77976 #>  [70953] 100.39920 100.61312 100.46392  99.97500 100.24969  99.55903 100.61312 #>  [70960] 100.04999 100.22475  99.55401 100.06498 100.12492 100.38924 100.14989 #>  [70967] 100.27961 100.61809 100.16986  99.84989  99.92497 100.21477 100.27961 #>  [70974]  99.90996 100.75713 100.04499 100.36932  99.93998 100.09995 100.36932 #>  [70981] 100.29457  99.71961  99.64939  99.80481 100.22974 100.06498  99.66444 #>  [70988] 100.13491  99.98000 100.20479  99.94999  99.88994  99.86491 100.14989 #>  [70995]  99.98000 100.06498  99.90996 100.06998 100.04999 100.14989  99.98000 #>  [71002] 100.05498 100.40916 100.29955  99.90495 100.05998 100.13990  99.73465 #>  [71009] 100.10494  99.95999  99.71459  99.89494  99.72462 100.23971  99.92497 #>  [71016] 100.00000  99.78477 100.21477  99.78978 100.06998  99.75470  99.95999 #>  [71023]  99.86491  99.83486  99.64939 100.35437 100.24969  99.50377 100.41414 #>  [71030] 100.01500 100.08996  99.87993  99.75470  99.99000 100.23971  99.39819 #>  [71037]  99.85489 100.02000 100.15488  99.76973  99.96499 100.09995  99.66945 #>  [71044] 100.16486  99.98500 100.84146 100.61809  99.62931  99.94498 100.08996 #>  [71051]  99.58916  99.51884  99.96499 100.06998 100.21976 100.12492 100.58827 #>  [71058]  99.84989  99.95999 100.26465 100.39920 100.00500  99.36800 100.34939 #>  [71065]  99.80982  99.75470 100.11993 100.35437  99.98500  99.73966 100.32946 #>  [71072]  99.79479  99.85489 100.32946 100.29457 100.01500 100.45895  99.92998 #>  [71079]  99.77475  99.62429 100.34441 100.18483  99.48367 100.12992 100.24470 #>  [71086]  99.76472  99.82485  99.96499 100.22475 100.04999 100.25468  99.82485 #>  [71093] 100.29457  99.78477 100.10994 100.12492  99.71459  99.88493 100.26964 #>  [71100] 100.16986 100.16486  99.98500  99.69955  99.38813  99.93998  99.83486 #>  [71107] 100.35935 100.14490  99.55401 100.06498 100.05998 100.51865  99.67447 #>  [71114]  99.89494  99.61426  99.62429 100.06498  99.81984 100.00000  99.84488 #>  [71121]  99.79980  99.73966 100.12992  99.93998 100.30454  99.58414 100.06998 #>  [71128]  99.84488 100.07497 100.07997 100.18982 100.26964  99.90495 100.39422 #>  [71135] 100.47388 100.00000 100.18483  99.49372 100.15987 100.33942 100.09995 #>  [71142] 100.04999  99.94498  99.56405 100.17984  99.84488  99.78978 100.05498 #>  [71149]  99.45853  99.69955  99.82986  99.92497  99.87492 100.40916  99.95499 #>  [71156]  99.48367 100.32946  99.80982 100.21976 100.08496 100.03999  99.64437 #>  [71163]  99.76472 100.11993 100.75713  99.83486 100.11993  99.60422 100.15488 #>  [71170]  99.89995 100.36932 100.04999  99.85990  99.97500 100.04999 100.01500 #>  [71177] 100.40916 100.29955  99.84488 100.20479  99.65440  99.37807  99.97000 #>  [71184] 100.63797  99.72963 100.42908  99.74969  99.82986  99.67949 100.45895 #>  [71191] 100.30454  99.66444 100.18483  99.85489 100.17485  99.99000 100.09495 #>  [71198] 100.02000  99.62429  99.87993 100.15987 100.25966  99.73966  99.90495 #>  [71205]  99.84989 100.27961 100.29457  99.49874 100.05998  99.74467  99.70958 #>  [71212] 100.14490  99.53894 100.21976 100.14989  99.43842  99.65440 100.11493 #>  [71219]  99.77976  99.73465 100.04999  99.63935 100.08496  99.78477  99.89494 #>  [71226]  99.99500  99.97000  99.57911  99.68450 100.54850  99.95499  99.66945 #>  [71233] 100.16986 100.03000 100.19481 100.26465  99.40825 100.08496 100.14490 #>  [71240] 100.02500 100.03499 100.16986 100.34939  99.75470 100.34441  99.79980 #>  [71247] 100.09995  99.93498  99.43339 100.29955  99.75470  99.59418  99.84488 #>  [71254] 100.19980  99.63433  99.77475  99.94498  99.95499 100.51865  99.75971 #>  [71261] 100.17485  99.82986 100.28958 100.20479 100.08996  99.85990  99.83486 #>  [71268]  99.45351  99.32774  99.99000  99.88493 100.12492  99.86992 100.14989 #>  [71275]  99.58414  99.89995 100.26465  99.87492 100.04999 100.26465  99.82986 #>  [71282]  99.63935  99.59920 100.15987 100.44401  99.37807  99.61426 100.36932 #>  [71289] 100.04499 100.13491  99.77976 100.33444  99.85489 100.22974 100.37430 #>  [71296] 100.24470 100.18483  99.88493 100.06498 100.41414 100.06998 100.33942 #>  [71303]  99.70958 100.54352  99.98000  99.73966  99.83486 100.26964  99.77976 #>  [71310] 100.18982 100.09995  99.67447  99.78477  99.64437 100.20978  99.35291 #>  [71317] 100.27462 100.61312  99.81984  99.41831  99.84488  99.82986 100.01500 #>  [71324]  99.68952 100.10994  99.73966 100.13990 100.28958  99.62429  99.98000 #>  [71331] 100.38924 100.14490 100.30952 100.21976 100.01500 100.01000  99.98500 #>  [71338] 100.11493 100.67770  99.71459  99.92998 100.28958 100.22475 100.14989 #>  [71345]  99.79479 100.23472  99.69453 100.25468 100.12992  99.69955  99.80982 #>  [71352]  99.80481 100.25468  99.98500 100.67274  99.96499  99.87993  99.56405 #>  [71359]  99.57409  99.93498 100.53358 100.82162  99.46859 100.22974 100.10494 #>  [71366] 100.02000  99.91997 100.15488  99.90996  99.93998 100.19481 100.21477 #>  [71373]  99.38310 100.08496 100.02500 100.53358  99.78978  99.92998 100.13990 #>  [71380] 100.32447  99.96499 100.15987 100.56341  99.58916 100.03999  99.85990 #>  [71387] 100.26465 100.05498 100.09495  99.42334 100.24470 100.08996  99.76973 #>  [71394] 100.47885  99.60924  99.79980 100.46890 100.33444 100.00500 100.20978 #>  [71401]  99.43339  99.88493 100.24470  99.54898  99.66444 100.02500  99.83486 #>  [71408] 100.15987  99.99000 100.22475  99.65942 100.07997  99.70958 100.13491 #>  [71415]  99.85990 100.08496 100.46890  99.83987 100.53855 100.13990  99.94999 #>  [71422]  99.61426 100.36434 100.17984  99.78978  99.48869  99.87993 100.03499 #>  [71429] 100.32946  99.98000  99.44848 100.03499 100.34441  99.98500  99.94999 #>  [71436]  99.95499  99.97000  99.65942 100.03999 100.18483 100.05998  99.89494 #>  [71443]  99.92998  99.69955  99.49874 100.13491 100.03499 100.07997  99.40322 #>  [71450] 100.77202 100.05998  99.77475  99.54898  99.92998  99.82485  99.90996 #>  [71457]  99.95499 100.19980 100.04499 100.03000  99.98500 100.06498  99.99500 #>  [71464] 100.36434  99.95999  99.43339  99.42334 100.18483  99.81984 100.32946 #>  [71471]  99.81984 100.40916  99.90996  99.41328 100.52363  99.95499 100.03999 #>  [71478] 100.23472 100.03499 100.08496  99.72963 100.19980 100.35437  99.85990 #>  [71485] 100.24969  99.29250 100.17984  99.48367  99.86491 100.21477 100.10494 #>  [71492]  99.82986  99.57911 100.06498  99.90996  99.70456  99.78978  99.85990 #>  [71499]  99.74969  99.92497  99.64939  99.30760 100.35935  99.60924  99.78978 #>  [71506]  99.74969  99.51382  99.77976  99.82986  99.58916  99.77475 100.03000 #>  [71513] 100.13990  99.75971 100.16486  99.74467  99.88493  99.89995 100.28958 #>  [71520] 100.38924  99.46356  99.78477 100.23472 100.53855 100.38924 100.14490 #>  [71527]  99.29250 100.37430 100.56838 100.09995 100.34939  99.99500 100.18483 #>  [71534] 100.00000 100.09995 100.09495 100.45397 100.04499  99.77475  99.95999 #>  [71541] 100.33444 100.31949  99.55903 100.13990  99.99000  99.74467 100.17485 #>  [71548] 100.29457 100.21976  99.85489  99.73465  99.95999  99.59418 100.38924 #>  [71555] 100.09495 100.00000 100.37430 100.29457 100.24969  99.66444  99.91496 #>  [71562] 100.01500 100.53855  99.78477 100.06498 100.08496  99.91997  99.33277 #>  [71569]  99.95499 100.34939 100.06998  99.69955 100.30454 100.03499 100.08996 #>  [71576] 100.16486 100.14989  99.98500 100.41912 100.84146  99.67447  99.83486 #>  [71583] 100.51368 100.20978  99.83486 100.18483  99.82485 100.36434  99.55903 #>  [71590] 100.10494  99.98000 100.49378 100.02500  99.99000 100.08996 100.19980 #>  [71597]  99.71961 100.10494  99.94498  99.93998 100.60318  99.73966  99.90996 #>  [71604] 100.08996  99.39316  99.84989 100.23472  99.94498  99.79980  99.44345 #>  [71611] 100.12492 100.21477 100.05998 100.30454  99.69955  99.68450  99.76472 #>  [71618] 100.62306 100.10494  99.86992  99.34787 100.42908  99.92497  99.76973 #>  [71625] 100.40916  99.97000 100.19481 100.63797  99.93998  99.47864 100.18982 #>  [71632]  99.63433  99.86491 100.24969  99.53894  99.97000  99.93498  99.99500 #>  [71639] 100.00000  99.90996 100.17984 100.06998 100.25966 100.07997  99.87492 #>  [71646]  99.67949 100.36932 100.02500 100.41912 100.42410  99.93998  99.91997 #>  [71653]  99.56907  99.70456  99.85489 100.17485  99.91997  99.63935 100.34441 #>  [71660]  99.84488 100.17485  99.92497  99.97000  99.65942  99.87993 100.10994 #>  [71667]  99.98000 100.00000  99.91496 100.27961  99.63935  99.78978 100.29955 #>  [71674]  99.94999 100.12492 100.03999  99.45351 100.23971  99.91997  99.91496 #>  [71681]  99.95999  99.72462 100.40418 100.33444  99.75470 100.15987 100.15987 #>  [71688]  99.89494 100.48383 100.21477 100.22974  99.66945 100.05998 100.16486 #>  [71695]  99.80481  99.56907 100.00000  99.68952 100.16486  99.32774  99.87993 #>  [71702]  99.74467 100.10494  99.92497 100.38426 100.02000 100.23472  99.84989 #>  [71709] 100.30454 100.25468 100.39422  99.98500  99.87993 100.48881 100.14989 #>  [71716] 100.61809  99.51884  99.82986 100.11493 100.45397 100.16486 100.03000 #>  [71723]  99.86992  99.56405  99.84989 100.22974  99.77475  99.74467 100.14490 #>  [71730] 100.15488  99.75971 100.33942 100.09995 100.00000  99.50879  99.56907 #>  [71737]  99.97000  99.61928  99.94999  99.60924  99.82986  99.61928 100.14490 #>  [71744]  99.82986 100.21976 100.51368 100.00000 100.35935 100.32946 100.06498 #>  [71751] 100.15488  99.62429 100.27961  99.89494 100.32447  99.65440  99.86491 #>  [71758]  99.91997 100.25966 100.12492  99.94498  99.73465 100.15987 100.35437 #>  [71765]  99.84488 100.11493  99.94498 100.02500  99.89995 100.10494 100.33444 #>  [71772]  99.90996  99.69955  99.88994 100.23472  99.61928 100.33444  99.89494 #>  [71779]  99.93998  99.94498 100.27462 100.65784  99.97500 100.18982 100.21976 #>  [71786] 100.01500  99.88493 100.04499 100.29955 100.07997 100.00000 100.16486 #>  [71793] 100.18483  99.73966  99.99500  99.99500  99.93998 100.32946  99.57409 #>  [71800] 100.62306 100.52363  99.74467 100.48881  99.69453 100.26465  99.88493 #>  [71807] 100.44401  99.87492  99.75470 100.52860 100.20978 100.03499 100.03499 #>  [71814] 100.70750 100.16986 100.51368  99.65942 100.36434 100.10494 100.08996 #>  [71821]  99.50377 100.17984 100.13491 100.20479  99.62429  99.77976 100.08496 #>  [71828]  99.95999 101.01485 100.05998 100.51865 100.36434 100.45895 100.17485 #>  [71835]  99.95999 100.29457  99.89494 100.41912  99.60422 100.41912  99.82986 #>  [71842]  99.55903 100.18483  99.65942  99.82485  99.84989 100.15987  99.82986 #>  [71849] 100.05498 100.56838 100.07997 100.02000 100.34441  99.98000  99.63935 #>  [71856]  99.65942 100.33444  99.56405  99.79479  99.69955  99.78978 100.42908 #>  [71863] 100.06998  99.58414 100.08996 100.08496  99.60422 100.06498 100.56838 #>  [71870]  99.99500  99.85990 100.26964 100.02000 100.16486 100.14989  99.94498 #>  [71877] 100.16486 100.60815  99.75470 100.35935 100.53855 100.21477  99.51884 #>  [71884] 100.22974 100.45397 100.13990 100.56341 100.14490 100.19980 100.09495 #>  [71891]  99.85990  99.84488  99.52387  99.88493 100.21477 100.18483 100.21976 #>  [71898]  99.61928  99.88994  99.81483  99.61928  99.84989 100.02000  99.65440 #>  [71905]  99.52387 100.33444  99.51382 100.18483  99.48367 100.27961 100.00500 #>  [71912]  99.88994  99.97000  99.92998 100.62803 100.47885 100.32447  99.87492 #>  [71919] 100.11993  99.98000  99.87993 100.37430  99.88994 100.27961  99.95999 #>  [71926] 100.03999 100.20978 100.31949  99.92497  99.99000 100.17984  99.77976 #>  [71933]  99.71961  99.68952  99.87492 100.01500 100.12492  99.79980  99.92497 #>  [71940] 100.42410 100.30454 100.05998 100.15987 100.65287  99.86491 100.38426 #>  [71947] 100.07997 100.02500 100.05998 100.15987 100.74721  99.61928  99.52889 #>  [71954] 100.79186 100.35437 100.15987 100.00000 100.35935 100.19980 100.05498 #>  [71961] 100.32447 100.03999 100.07497  99.54396 100.38426 100.16486 100.15488 #>  [71968] 100.12992 100.09995 100.09495 100.03499 100.18982  99.78477  99.85489 #>  [71975] 100.27961 100.02500 100.17984 100.22974  99.97000 100.28460  99.87492 #>  [71982] 100.15987 100.84146  99.93498 100.41414 100.41912 100.17984 100.07497 #>  [71989]  99.88994 100.28460 100.06998  99.64437  99.84989 100.12992  99.64939 #>  [71996] 100.57336 100.08496  99.83987  99.85990 100.24969 100.23971 100.08996 #>  [72003]  99.73465  99.84488  99.72462  99.98000  99.49874  99.68952 100.13491 #>  [72010] 100.30454  99.38310 100.33444 100.55347  99.68952 100.07997 100.14989 #>  [72017]  99.92497  99.83987 100.45895  99.32774  99.98000 100.01500 100.64293 #>  [72024]  99.93498 100.03999  99.66444  99.85990 100.01500  99.72462  99.96499 #>  [72031]  99.72462 100.11993 100.59324  99.90495 100.04499 100.07997  99.62429 #>  [72038]  99.93498  99.97500  99.93498 100.23472 100.22974 100.21477 100.32946 #>  [72045]  99.94498  99.58414 100.00000  99.51382 100.34441  99.83987 100.01500 #>  [72052] 100.45895  99.68952 100.02500  99.97000  99.60924 100.15987  99.81483 #>  [72059]  99.88493 100.14989 100.20978  99.88493  99.86491 100.40418  99.84989 #>  [72066] 100.02500  99.34284 100.44899  99.66945 100.32447 100.06998  99.90996 #>  [72073]  99.74467  99.51884 100.04499 100.10494 100.48383  99.90495 100.12492 #>  [72080]  99.98000  99.78477  99.90996 100.02500 100.03999  99.83486 100.12992 #>  [72087]  99.87993  99.73966 100.36434  99.30257  99.92497  99.69955 100.04499 #>  [72094] 100.17984 100.19980  99.98000 100.29955 100.18982 100.00000  99.91997 #>  [72101] 100.34939  99.97000  99.83486 100.46392 100.70253  99.54898  99.47361 #>  [72108]  99.93498  99.69955  99.83486 100.45397 100.38924  99.96499 100.39920 #>  [72115]  99.96499 100.21477 100.20479  99.79479 100.27462 100.10494 100.07997 #>  [72122]  99.65942 100.30952 100.00000 100.03000  99.88994  99.99500  99.86992 #>  [72129] 100.01000 100.63797 100.20479 100.51368 100.47388 100.10494  99.80481 #>  [72136] 100.27961  99.82986  99.94999  99.67447  99.98000 100.04499  99.59418 #>  [72143]  99.70456 100.06498  99.67949  99.94999 100.06498  99.99500  99.73966 #>  [72150] 100.15987 100.03999 100.02000 100.30454 100.31949 100.39422 100.35935 #>  [72157]  99.84989  99.56907  99.36297  99.76472  99.62931  99.52889 100.15987 #>  [72164]  99.35291 100.53358 100.21477 100.10494 100.31451 100.08496  99.71459 #>  [72171] 100.09995  99.85990  99.66945  99.58916  99.41328 100.26465 100.04499 #>  [72178]  99.92497  99.93498  99.88493  99.84989  99.73465 100.09495  99.97500 #>  [72185]  99.45853  99.88994 100.21976  99.87993 100.25966  99.42334 100.02000 #>  [72192]  99.83486 100.05998  99.98500 100.10994 100.45397  99.59418  99.55903 #>  [72199]  99.91496 100.17984 100.26964  99.64437  99.90996 100.47388  99.85489 #>  [72206]  99.83987  99.93498 100.69260 100.18982 100.15987 100.11493  99.47864 #>  [72213] 100.38426 100.30454  99.45351  99.57911  99.82986 100.17984  99.86491 #>  [72220] 100.06998  99.76472  99.90495  99.63935 100.59324 100.02500  99.99500 #>  [72227] 100.03499  99.80982  99.85990  99.83987  99.89494 100.19481  99.67447 #>  [72234] 100.16986  99.70958 100.17984  99.69955 100.12492  99.67949  99.80481 #>  [72241]  99.67447 100.34441  99.78978  99.50879 100.11993  99.86992 100.18483 #>  [72248]  99.75971 100.03499  99.70456 100.36434  99.34787  99.96499  99.40825 #>  [72255]  99.88994 100.21976 100.54352 100.07997  99.78477 100.08996 100.19481 #>  [72262] 100.19980  99.77976  99.92998 100.22974 100.11493  99.98000  99.83987 #>  [72269] 100.50871  99.90495  99.73966  99.77475  99.97500  99.63935  99.78978 #>  [72276] 100.74225  99.92497 100.40916  99.88493  99.93498  99.75470 100.39422 #>  [72283]  99.98500 100.03499  99.65942  99.59920  99.99000 100.43406 100.06498 #>  [72290]  99.49372 100.63797  99.78477 100.14490  99.88994  99.85489 100.00000 #>  [72297]  99.64939  99.96499 100.11493 100.29457 100.02500 100.18982 100.19481 #>  [72304]  99.71961 100.03999 100.26465 100.28958 100.11493  99.66444  99.71961 #>  [72311] 100.19481 100.17984 100.11993  99.60924 100.70750  99.80481 100.09995 #>  [72318] 100.23971  99.94498  99.93498  99.62429  99.77475 100.33942  99.91496 #>  [72325] 100.11993 100.04499 100.61312 100.59324  99.97000  99.86491  99.73966 #>  [72332]  99.54396  99.90996  99.98000 100.19481 100.23971 100.03000  99.62429 #>  [72339] 100.22974 100.32946  99.88493  99.58414  99.68450 100.04499  99.51382 #>  [72346] 100.26964 100.36434  99.66945  99.87993 100.24470 100.12492 100.15987 #>  [72353]  99.53391  99.87492 100.28460  99.94498 100.13491  99.79980  99.63935 #>  [72360] 100.31451 100.03999 100.38924 100.35437 100.14490 100.12492 100.70750 #>  [72367]  99.41831 100.35437  99.42837  99.63935 100.03999 100.37928 100.14490 #>  [72374] 100.26465  99.86491  99.97000 100.01500  99.92497  99.98500 100.33942 #>  [72381] 100.01000  99.76472  99.82986 100.02500  99.99000 100.09495  99.89995 #>  [72388]  99.63433 100.25966  99.77976 100.01000  99.94498 100.62306 100.28460 #>  [72395]  99.67949  99.97500 100.31451  99.65942 100.01500 100.32447  99.55903 #>  [72402]  99.90996 100.68267 100.61312  99.49874 100.20978 100.72239 100.47885 #>  [72409] 100.18982  99.67949 100.16486  99.93998 100.59324 100.18982  99.85489 #>  [72416] 100.52363  99.76973  99.84989 100.24470  99.99500  99.90996  99.65440 #>  [72423] 100.49876 100.11993 100.06998 100.13491 100.59324  99.88994 100.13491 #>  [72430] 100.61312 100.43406 100.10494 100.45895 100.23971  99.97000  99.79980 #>  [72437]  99.63433  99.86992  99.99500 100.19980 100.22475 100.24969  99.64437 #>  [72444] 100.17984  99.97000  99.87993 100.39422 100.05498  99.85990 100.14490 #>  [72451]  99.69453  99.78978 100.14490 100.10494 100.03000  99.75470  99.97500 #>  [72458] 100.14490 100.31451 100.06498 100.11993  99.52889 100.18483 100.01500 #>  [72465] 100.27462  99.72462 100.18982 100.17984  99.64437  99.90996  99.68952 #>  [72472] 100.20978  99.82986  99.66444 100.08996  99.85990 100.10494 100.09995 #>  [72479]  99.97500 100.04499  99.89494 100.08996  99.86491 100.23472 100.03000 #>  [72486]  99.76973  99.90996 100.18483 100.09495  99.92998  99.68450  99.85990 #>  [72493] 100.05998 100.17485  99.86491 100.27462  99.86491 100.07997 100.02500 #>  [72500] 100.25468 100.38924 100.33444 100.22475  99.77475 100.26465 100.10994 #>  [72507] 100.27462 100.41414 100.20978  99.48869 100.15488  99.81984  99.67949 #>  [72514] 100.34441  99.86491  99.90495 100.02000 100.23472 100.00500 100.04499 #>  [72521]  99.64437 100.29457  99.61426  99.48869  99.67949 100.02500  99.91496 #>  [72528] 100.39920 100.32946  99.45853  99.87492 100.13491 100.26964  99.58916 #>  [72535]  99.92998  99.72462 100.03999  99.37303  99.54396  99.61426  99.79980 #>  [72542] 100.49876 100.07997  99.89494  99.66444 100.08996  99.97500  99.83987 #>  [72549]  99.93998  99.62429 100.48881  99.72963 100.27961 100.09495 100.18982 #>  [72556] 100.09995 100.52363 100.50373 100.22974 100.05498  99.76973 100.09495 #>  [72563]  99.77976 100.22475 100.05498  99.68450 100.06498  99.68450  99.71459 #>  [72570] 100.41912 100.41912 100.27961 100.04499  99.58414 100.33444  99.99500 #>  [72577] 100.15488  99.82485  99.39316 100.29457  99.67447  99.73966  99.78978 #>  [72584] 100.19481  99.57409  99.93998 100.22974  99.93998  99.84989 100.24470 #>  [72591] 100.33942 100.15987  99.96499 100.22475  99.95999 100.11993 100.15488 #>  [72598] 100.17984 100.31451  99.89995  99.73465  99.97000 100.33942 100.18483 #>  [72605] 100.46392  99.80481 100.01000 100.57833 100.43904  99.79980 100.06998 #>  [72612] 100.29955  99.59920  99.54898  99.74467  99.78477 100.55347  99.77976 #>  [72619]  99.64437 100.37928 100.08996  99.98000 100.06998  99.70958  99.83486 #>  [72626]  99.46859 100.24969  99.95999 100.07497  99.92998 100.16986  99.35794 #>  [72633]  99.56405  99.70958 100.45397  99.72462  99.48367  99.82485  99.61426 #>  [72640] 100.17984 100.03499  99.92998  99.77475 100.03999 100.05998  99.65942 #>  [72647] 100.01000  99.96499 100.07497 100.50373  99.82485  99.79980 100.04499 #>  [72654]  99.99000  99.98000  99.62429 100.04499  99.88994 100.58330  99.90495 #>  [72661] 100.50373  99.92998 100.16986 100.67770  99.86992  99.91997 100.16486 #>  [72668] 100.33942  99.63935 100.13491 100.16986  99.80481 100.24969 100.00000 #>  [72675] 100.47388  99.92497 100.25468 100.94058  99.61426 100.45895  99.59920 #>  [72682]  99.50879 100.16986 100.32946 100.20479  99.88994  99.43339 100.19481 #>  [72689]  99.65942  99.86491  99.77976 100.09495 100.44401 100.56341  99.70958 #>  [72696]  99.80481 100.10994 100.31949  99.82986  99.85489 100.62803  99.64437 #>  [72703]  99.86491 100.14490 100.60318  99.56405 100.09495  99.49372 100.35437 #>  [72710]  99.89995 100.43406  99.72462  99.91997  99.45351 100.20978  99.69453 #>  [72717]  99.77475 100.07997  99.94498  99.62429 100.26964 100.23472 100.43406 #>  [72724] 100.02500  99.90495  99.75470 100.07997 100.16986 100.30454  99.23709 #>  [72731] 100.41912 100.11993  99.83987  99.82986 100.10994  99.91997  99.53391 #>  [72738] 100.32447  99.78978  99.85990 100.58330  99.79479 100.49378 100.29457 #>  [72745] 100.24969 100.04999 100.32946  99.75971  99.92998 100.40916 100.36434 #>  [72752]  99.35291  99.95999 100.23971 100.09995  99.80982 100.36932 100.20978 #>  [72759]  99.62429 100.07497 100.56341  99.83486  99.94498 100.12992 100.47388 #>  [72766]  99.69955 100.03000 100.09495  99.83987 100.07997 100.12492 100.38426 #>  [72773] 100.05498 100.23472  99.93498  99.66945  99.81984 100.02000  99.57409 #>  [72780]  99.80982  99.40825 100.24969 100.00000 100.09995  99.89995 100.17485 #>  [72787]  99.62931  99.75470  99.53894  99.65440  99.63433  99.85489  99.75971 #>  [72794] 100.18483  99.61928 100.08496 100.37928  99.59418  99.89995  99.62931 #>  [72801]  99.76472 100.03999  99.91496 100.04999 100.09495 100.79683 100.22974 #>  [72808] 100.22974  99.53894  99.75971 100.07997 100.50871  99.93998 100.39422 #>  [72815] 100.06498  99.48869 100.07497  99.41831 100.09495  99.91496 100.24969 #>  [72822] 100.28958 100.35935 100.03499  99.84488  99.67447  99.93998  99.70958 #>  [72829] 100.04499  99.91496  99.69955 100.02000 100.62306  99.60924  99.99500 #>  [72836]  99.66444 100.22974  99.50879  99.82485 100.35437 100.07997  99.79980 #>  [72843]  99.91997  99.92998  99.93998  99.57911 100.02500  99.75470  99.67949 #>  [72850] 100.35935 100.37928 100.19980 100.34939  99.63433  99.82986  99.95499 #>  [72857] 100.38426 100.77202 100.40418 100.02000 100.29457  99.79980 100.17984 #>  [72864] 100.00500 100.18483  99.92998 100.06498 100.47388 100.60318  99.98000 #>  [72871] 100.18982  99.76472  99.81984 100.10494 100.26964  99.49372  99.81483 #>  [72878] 100.06498 100.11493  99.41831  99.57409  99.65942  99.97500 100.03000 #>  [72885]  99.57409  99.94498 100.11493  99.75470 100.01000 100.16486 100.41912 #>  [72892] 100.07997 100.03999  99.43339  99.98000  99.87993  99.51382 100.43406 #>  [72899]  99.98500  99.84989 100.08496 100.27462 100.49876 100.22475 100.12992 #>  [72906] 100.72735  99.87492  99.66444 100.57336 100.09495  99.84488 100.07997 #>  [72913] 100.12492  99.93998  99.70456 100.20978  99.53894 100.29457 100.24969 #>  [72920]  99.57409  99.90495 100.46392 100.07997 100.01500 100.45397 100.21477 #>  [72927]  99.91997 100.40418  99.92998 100.09995 100.07497 100.07997 100.25966 #>  [72934] 100.25966 100.13990  99.89995 100.08996  99.99000  99.94999  99.86992 #>  [72941]  99.60924 100.09495  99.88994  99.75470  99.58414 100.00500 100.83154 #>  [72948] 100.28460  99.98500 100.17984  99.73966 100.02000 100.49378 100.03000 #>  [72955]  99.63935 100.32946  99.93998  99.34787 100.32946  99.62429  99.83486 #>  [72962] 100.19481  99.85489 100.59821 100.30454 100.14490 100.07997  99.89995 #>  [72969] 100.18982 100.24969 100.34939 100.25468 100.16486 100.21976 100.07497 #>  [72976]  99.99500  99.71961  99.84488  99.92998 100.19980  99.98500 100.02500 #>  [72983]  99.67949 100.46392 100.13491 100.51368  99.82986 100.03000  99.72963 #>  [72990]  99.87492 100.17485 100.51865  99.84488 100.03999  99.58414 100.22475 #>  [72997] 100.01000 100.12992 100.09495 100.42410 100.11493 100.35935 100.00500 #>  [73004]  99.71459  99.95999  99.98000  99.76973  99.65942 100.41414 100.00500 #>  [73011] 100.36932  99.60422  99.48367  99.90996 100.25966 100.17485  99.58916 #>  [73018]  99.89995  99.89494  99.81483 100.33444 100.01500 100.60815  99.96499 #>  [73025] 100.16486  99.73465  99.65440 100.24470  99.73465  99.93498 100.02000 #>  [73032]  99.51884 100.81667 100.13491  99.91496 100.34441 100.15488 100.41912 #>  [73039]  99.80982 100.00500  99.88994  99.66945 100.12492  99.48869  99.87993 #>  [73046]  99.93998 100.10994  99.97000  99.86491 100.38426 100.00500 100.29457 #>  [73053]  99.64437  99.66945 100.45895  99.72462  99.46356 100.06998 100.07997 #>  [73060] 100.79683 100.27462 100.25966  99.67447 100.00500 100.38924  99.97000 #>  [73067]  99.80982 100.17984 100.06998 100.21976 100.39920  99.75971 100.40916 #>  [73074] 100.23472 100.31949 100.30454 100.07497  99.73966 100.22974  99.97500 #>  [73081] 100.31949 100.11493  99.55401  99.88994  99.87993 100.45895  99.68952 #>  [73088]  99.90996  99.77475  99.62931 100.12492  99.49372  99.33781  99.40322 #>  [73095]  99.66945 100.08496 100.06998 100.08996  99.51382 100.63797  99.90996 #>  [73102]  99.97000  99.98000  99.99000  99.69955 100.30454  99.41831 100.13990 #>  [73109] 100.10494  99.71961  99.90495 100.04499 100.40916 100.40418  99.83486 #>  [73116] 100.08496 100.18483  99.80982 100.05498 100.01500 100.53855  99.89494 #>  [73123] 100.40916  99.71961  99.86992 100.30952 100.24969 100.10494 100.08496 #>  [73130]  99.89995 100.14989  99.62931 100.07997  99.94498 100.48383  99.69955 #>  [73137] 100.55844  99.78477  99.99000  99.65942  99.24213  99.63935  99.57911 #>  [73144]  99.89995  99.82485 100.00000 100.55844 100.43904 100.22974 100.44401 #>  [73151] 100.39422 100.42410 100.29457 100.51865 100.32946 100.31451  99.96499 #>  [73158] 100.02000  99.79479 100.19481  99.54396 100.24969  99.98500 100.27462 #>  [73165]  99.57409  99.93498 100.33444  99.75470 100.05498  99.56907  99.98000 #>  [73172]  99.97500  99.51382  99.76472  99.86491  99.75971  99.73966  99.82485 #>  [73179] 100.20978 100.69757  99.39819 100.15488 100.17984 100.17485 100.33942 #>  [73186] 100.17485  99.96499  99.92998 100.04499 100.06498  99.88994 100.05498 #>  [73193] 100.30454 100.06998  99.78978 100.33444  99.78978  99.87492  99.82485 #>  [73200] 100.48881 100.32447 100.11993  99.70958 100.57833  99.58916  99.98500 #>  [73207] 100.10494 100.02000  99.67447 100.23472  99.79980  99.95999  99.85489 #>  [73214]  99.74467 100.46392 100.03499  99.41831  99.89995  99.76472  99.60924 #>  [73221] 100.07497  99.94498  99.93498 100.18483 100.41414  99.96499 100.04499 #>  [73228] 100.36932  99.99000 100.49876  99.47361 100.03000 100.04999  99.74467 #>  [73235] 100.01500 100.44899  99.79980  99.99500 100.07497  99.72462  99.20181 #>  [73242]  99.92998 100.43904 100.24470 100.20978 100.10494  99.55401  99.72963 #>  [73249] 100.32447  99.84989  99.86491  99.99000  99.88994  99.96499  99.85990 #>  [73256]  99.74467  99.37807 100.03499 100.08996 100.11993  99.38813  99.73966 #>  [73263] 100.41912 100.25966 100.29955  99.52387  99.35794 100.24969  99.92998 #>  [73270] 100.10494  99.86992  99.77976 100.52860  99.90996  99.78978  99.21693 #>  [73277] 100.12992 100.24470 100.17984 100.38924 100.31949  99.74969  99.90996 #>  [73284]  99.56907  99.65440  99.67949  99.82485 100.19481  99.94999 100.01000 #>  [73291] 100.34441  99.76973  99.88493  99.94498 100.38924 100.15488 100.18483 #>  [73298] 100.18982  99.91997 100.01500  99.85489  99.86491  99.68450 100.02000 #>  [73305]  99.46859  99.64437  99.61928 100.08496  99.56405 100.26964 100.22974 #>  [73312] 100.19481 100.13491  99.85990  99.98000  99.56405  99.63433  99.56907 #>  [73319]  99.87993 100.59821  99.84488 100.60815 100.20479  99.84488 100.08496 #>  [73326] 100.15987 100.38924 100.05498 100.44401 100.29457  99.85990 100.12492 #>  [73333]  99.64437  99.66945  99.83486  99.81483 100.10994  99.93998  99.62429 #>  [73340]  99.67949 100.10994  99.50377 100.47885  99.92998 100.20978 100.03000 #>  [73347] 100.45397 100.01000 100.07997  99.80481 100.25468  99.74969  99.73465 #>  [73354]  99.68952 100.28958 100.27961 100.22475 100.16486  99.80481 100.09995 #>  [73361] 100.52363  99.91997 100.19481 100.20978  99.90996 100.30454 100.17485 #>  [73368]  99.67949 100.00500  99.48869 100.06498 100.03499  99.83987  99.94498 #>  [73375] 100.05998  99.89494  99.81483  99.73465  99.45853  99.98500 100.14989 #>  [73382] 100.04999 100.31949 100.09495 100.33444  99.84989  99.83987 100.64790 #>  [73389] 100.15488  99.98000  99.78477 100.34939  99.61426 100.26964  99.98000 #>  [73396]  99.77475 100.29457 100.00000  99.72963 100.06998 100.30454  99.54396 #>  [73403] 100.43406 100.30952 100.00000  99.82485 100.39920 100.50871  99.85990 #>  [73410] 100.52363  99.79980  99.87492 100.13491 100.07997 100.33444  99.79479 #>  [73417]  99.78978  99.99500 100.19980 100.31949 100.24470 100.21976 100.15987 #>  [73424] 100.27961  99.71961 100.29955 100.40916 100.08496  99.74969  99.93498 #>  [73431]  99.94999  99.64939 100.22974 100.05998  99.71459 100.01000 100.04499 #>  [73438] 100.37430  99.82986  99.73966  99.76472  99.69955  99.88994 100.31949 #>  [73445] 100.09995 100.19481  99.78978 100.46890  99.92998  99.74467  99.43842 #>  [73452]  99.84989  99.69955 100.09495 100.16486 100.39920  99.93498 100.13990 #>  [73459]  99.77976 100.46890  99.93998 100.34441  99.66945 100.38924  99.66444 #>  [73466] 100.08496 100.10494  99.90996 100.51368  99.64939 100.26964 100.51865 #>  [73473]  99.45351  99.91997  99.97500  99.60924 100.35437  99.66945  99.81483 #>  [73480] 100.15987 100.12992  99.77976 100.45895  99.71961 100.38924  99.55903 #>  [73487]  99.77976 100.04499 100.10994 100.11993 100.18483  99.63433  99.59920 #>  [73494]  99.98000 100.49378 100.00500  99.75470  99.94999 100.15987 100.02000 #>  [73501] 100.03499 100.15987 100.40418  99.84488 100.17984 100.40418 100.23971 #>  [73508]  99.97500 100.06998  99.83486 100.15987 100.71743 100.30952  99.98000 #>  [73515] 100.54352  99.98500 100.09995  99.89494 100.52363 100.16486  99.86491 #>  [73522] 100.09995  99.65942  99.87492  99.97000  99.41328  99.89494  99.92497 #>  [73529]  99.95999  99.65942  99.51884 100.41912 100.34441 100.44899  99.58916 #>  [73536] 100.11493 100.03499  99.86992 100.42908 100.18483 100.23971  99.17661 #>  [73543]  99.56405  99.99500 100.34441  99.92497 100.18483  99.64939 100.70253 #>  [73550] 100.29457 100.05998 100.14989  99.88493 100.21477 100.17485  99.99000 #>  [73557] 100.12492 100.09495  99.35794  99.48869  99.94999 100.08496  99.87492 #>  [73564] 100.50373 100.10994 100.14989 100.49876 100.25468  99.81483 100.22475 #>  [73571] 100.20978 100.07497 100.00000  99.98000  99.83987  99.88994 100.47388 #>  [73578]  99.53391  99.79479 100.00500 100.12492  99.74969 100.27462 100.13491 #>  [73585]  99.76973  99.86491 100.64293 100.17485  99.82986 100.41912  99.91496 #>  [73592] 100.34441  99.98500  99.59920  99.82986  99.62931 100.50373  99.78978 #>  [73599] 100.25966 100.30454  99.88994 100.15488  99.66945  99.77475  99.99500 #>  [73606] 100.12492 100.27462  99.97000 100.02500 100.30952  99.87492 100.10994 #>  [73613] 100.05498  99.80982 100.55844 100.34441 100.26964  99.71961  99.86992 #>  [73620]  99.91997 100.18982 100.02000 100.43904  99.85990 100.31451 100.07997 #>  [73627]  99.64939  99.85990 100.13491  99.93998 100.44899 100.04999  99.82986 #>  [73634] 100.27462 100.42908  99.71961 100.00000 100.46890  99.93998  99.72462 #>  [73641]  99.89995 100.01000  99.65440 100.15488 100.37928 100.32946  99.89494 #>  [73648] 100.02000  99.62429 100.32946 100.09495 100.03000 100.40916  99.68450 #>  [73655] 100.28958  99.68952  99.95499 100.45895 100.26465  99.96499 100.00500 #>  [73662] 100.45397 100.53855  99.81984  99.46356 100.38924 100.27462 100.07997 #>  [73669] 100.05998  99.31264  99.75470 100.08496 100.40916  99.42334  99.81483 #>  [73676] 100.17984 100.38426  99.53894  99.94999  99.42837 100.06498  99.66444 #>  [73683]  99.83486 100.31451 100.20479  99.89494  99.69955  99.93498 100.40916 #>  [73690]  99.71961 100.48881 100.29955 100.02000 100.67274 100.65784  99.86992 #>  [73697]  99.73465  99.94498  99.74969 100.07497 100.24969 100.39422 100.02000 #>  [73704] 100.15987  99.40825  99.60924  99.61426 100.14490 100.13491  99.52889 #>  [73711] 100.23472 100.11493 100.17485 100.26964  99.75470  99.46859  99.99000 #>  [73718]  99.77475  99.16148  99.70958 100.42410  99.80982 100.17984 100.22475 #>  [73725]  99.71961  99.71961 100.15488 100.42410  99.97500 100.21976 100.18982 #>  [73732]  99.81483  99.61928 100.62803 100.23971  99.83987  99.82485 100.23971 #>  [73739]  99.78978 100.16986 100.03499  99.94999 100.03499  99.97000 100.18982 #>  [73746]  99.67949  99.60422 100.05998  99.49372  99.86992 100.03499 100.02500 #>  [73753]  99.88994 100.05998  99.67949 100.09495  99.67949 100.13491 100.19481 #>  [73760]  99.62931  99.97000 100.38426  99.52889  99.60422 100.51368 100.40916 #>  [73767]  99.50377  99.73465  99.97000 100.33444  99.76472  99.43842  99.72462 #>  [73774]  99.83987  99.72462  99.73465  99.91997 100.40916  99.62931  99.27235 #>  [73781]  99.65942 100.18982 100.09495  99.62429  99.79980  99.87993 100.09495 #>  [73788] 100.11993 100.14490 100.41912 100.30454  99.95499  99.66945 100.13491 #>  [73795] 100.02000 100.35437 100.02500  99.82485  99.99000  99.85990 100.21976 #>  [73802]  99.80481  99.80481 100.18483 100.08996  99.55401 100.47885 100.07497 #>  [73809]  99.64939  99.45853 100.31949 100.04999 100.30952 100.11493 100.27462 #>  [73816]  99.65440 100.23971  99.61928 100.15488 100.31949 100.01500  99.97000 #>  [73823] 100.64790 100.09495 100.12992  99.86491 100.46890 100.42908  99.91997 #>  [73830]  99.41831 100.13491  99.79479 100.14989 100.01000 100.09495  99.83486 #>  [73837] 100.08496 100.03000 100.63797  99.86992  99.14636  99.89995  99.96499 #>  [73844]  99.67447 100.05998  99.84989 100.14490  99.86491 100.24470 100.09995 #>  [73851]  99.80982 100.23472  99.82485  99.72462 100.27462 100.00000  99.81483 #>  [73858] 100.08996  99.70456 100.23472  99.91496  99.76472 100.15987 100.16486 #>  [73865] 100.48383 100.93067  99.93998 100.24470  99.76973  99.47361  99.85990 #>  [73872] 100.52363  99.60422  99.56405  99.83486  99.61928  99.86992 100.10994 #>  [73879]  99.85990 100.46392  99.66444 100.08496  99.80982 100.47885 100.28460 #>  [73886]  99.37303 100.01000  99.89995  99.79980  99.29250 100.12492  99.94498 #>  [73893]  99.56405  99.79479 100.01500 100.00500  99.26228 100.03499 100.10494 #>  [73900] 100.27961 100.08996  99.85990 100.19481  99.92497 100.14989  99.78978 #>  [73907] 100.08496 100.09995  99.97000  99.88493 100.16486  99.28243 100.11993 #>  [73914] 100.19980  99.94999 100.17485 100.33942  99.97500  99.72462 100.26964 #>  [73921]  99.76472 100.20978 100.50871  99.52387  99.74969  99.73966 100.22475 #>  [73928] 100.22475  99.85489  99.78477  99.86992 100.39422 100.15488  99.36297 #>  [73935] 100.02000 100.35437 100.34939 100.25966  99.75470 100.18982 100.45397 #>  [73942] 100.18982 100.16986  99.78978  99.77976  99.91496 100.09495 100.27462 #>  [73949] 100.05498 100.12492 100.37430  99.83987 100.18982 100.00000 100.15987 #>  [73956]  99.95499  99.96499 100.10494 100.27961 100.06998 100.00500 100.53855 #>  [73963]  99.77475 100.42410  99.75971 100.00500  99.63433  99.81984 100.17485 #>  [73970]  99.49874  99.98000 100.23971  99.87492 100.33942 100.16986  99.79980 #>  [73977] 100.11493  99.98000 100.10494 100.23971 100.19481  99.81984 100.16986 #>  [73984]  99.82485 100.31451 100.20479  99.68952  99.51884  99.71459  99.62429 #>  [73991]  99.80982 100.15987  99.23709  99.81984  99.66444  99.69453 100.05498 #>  [73998]  99.65942 100.04999 100.41912 100.35437 100.20479  99.81984 100.33942 #>  [74005] 100.09995  99.60422  99.92497  99.94498  99.98500 100.01500 100.04499 #>  [74012]  99.44848  99.96499 100.43406  99.88493 100.39422 100.19980  99.97500 #>  [74019] 100.25468 100.15987  99.77475 100.28460  99.84989  99.70958 100.53855 #>  [74026]  99.93498  99.77976  99.36297  99.67447  99.60924 100.14490 100.08496 #>  [74033]  99.86491 100.03499  99.80982 100.03000 100.25468 100.11993  99.78477 #>  [74040]  99.97000 100.38924  99.51382  99.84989 100.53358 100.01000 100.30454 #>  [74047] 100.16986  99.67447  99.89995 100.25468  99.79479 100.15987  99.65440 #>  [74054]  99.69955 100.23472  99.78477  99.66945  99.36297 100.04499 100.22475 #>  [74061]  99.83486 100.34441  99.79479 100.57833  99.90495 100.09995 100.63300 #>  [74068] 100.40916  99.99000  99.95499 100.17984  99.80481  99.95499  99.91496 #>  [74075] 100.30952 100.06998  99.87492  99.77475 100.23472  99.92497 100.09995 #>  [74082]  99.83987 100.12992  99.91496 100.31949  99.69955  99.76973 100.22974 #>  [74089] 100.17485  99.92497  99.49874 100.23472 100.37430  99.53894  99.89494 #>  [74096]  99.73465  99.98500 100.12992 100.32946 100.27462 100.13491  99.83987 #>  [74103]  99.78477 100.17984  99.97000  99.71459 100.10994  99.72963  99.40322 #>  [74110]  99.59920 100.03499 100.14490 100.00500 100.27462 100.09995  99.89494 #>  [74117] 100.45397 100.00500 100.02000 100.48881  99.93498  99.98500 100.07497 #>  [74124]  99.47361  99.99000 100.24969 100.37928 100.03000 100.07497 100.20479 #>  [74131] 100.31451 100.13491  99.84989 100.26964 100.29457 100.52860 100.03000 #>  [74138]  99.87492  99.81483 100.20978  99.95499  99.74467 100.10994  99.90495 #>  [74145]  99.91496  99.95499 100.05998  99.55401 100.18483 100.38924  99.58916 #>  [74152] 100.25966 100.30454 100.03499 100.11493 100.02000  99.25220 100.13491 #>  [74159]  99.80982  99.73465 100.10994  99.89995  99.93998 100.03000 100.41414 #>  [74166]  99.57409 100.18982 100.16986 100.22974  99.97500  99.62429 100.53855 #>  [74173] 100.21477  99.99500  99.49874 100.26964 100.34441  99.75971  99.53391 #>  [74180] 100.57336 100.58330  99.84488  99.68450  99.81984 100.35935  99.71459 #>  [74187] 100.19481  99.92998  99.86992  99.91496 100.01000  99.94999 100.61809 #>  [74194] 100.04499 100.07997  99.74467  99.58916  99.64939  99.77976  99.58916 #>  [74201] 100.21477 100.20978  99.51382  99.55903 100.00000  99.93498  99.99500 #>  [74208] 100.22974  99.91997 100.15488  99.74467  99.96499 100.28958 100.25468 #>  [74215] 100.73232  99.76973 100.03999  99.99500  99.99500 100.01500  99.48869 #>  [74222] 100.36932  99.18669  99.73465  99.77475  99.83987 100.20978 100.01500 #>  [74229] 100.51368  99.78477 100.09495  99.68952  99.91496  99.72462 100.25966 #>  [74236]  99.76973  99.73465  99.96499  99.71459 100.04499  99.70958 100.13990 #>  [74243]  99.63935 100.05998  99.97500 100.11993  99.67447  99.76472 100.23472 #>  [74250]  99.90495 100.09495 100.21477 100.08496  99.98500  99.48869 100.23971 #>  [74257]  99.81483  99.42334 100.23472 100.22475 100.35935  99.93498  99.87492 #>  [74264]  99.95999 100.41912 100.29457  99.87492 100.25468 100.07997  99.81483 #>  [74271]  99.88493 100.41912 100.21976 100.03000 100.41912  99.68450 100.16986 #>  [74278] 100.26465 100.22974  99.76472 100.16986  99.95999 100.02000 100.04999 #>  [74285] 100.50373  99.77976 100.28460 100.19980 100.02500 100.01000 100.59821 #>  [74292] 100.20978 100.13990 100.01500  99.95499  99.54898 100.58827 100.04499 #>  [74299]  99.78978 100.08996  99.94498  99.83987  99.67447 100.00500  99.55401 #>  [74306] 100.04999 100.35437  99.70958  99.94999 100.03000  99.91496 100.06498 #>  [74313]  99.82986  99.70456 100.01000  99.99500 100.02000  99.90495  99.99500 #>  [74320] 100.30454  99.66945  99.50879 100.67274 100.09995 100.19481 100.12992 #>  [74327] 100.01500 100.34441  99.76973 100.23472  99.41831  99.97000  99.75971 #>  [74334]  99.76472  99.81984  99.76472  99.77475 100.00000  99.84989  99.65440 #>  [74341] 100.23971 100.35935 100.05998  99.78978 100.16986 100.43904  99.66945 #>  [74348] 100.05998  99.86491  99.61426  99.88493  99.51382  99.48869 100.01000 #>  [74355]  99.75971 100.26465  99.73966  99.68952 100.01500  99.72963  99.81984 #>  [74362] 100.66777  99.89494 100.06998 100.53855 100.19481  99.73966 100.25966 #>  [74369]  99.65942  99.97500 100.16486  99.67447 100.40916 100.12992  99.45853 #>  [74376] 100.33444  99.78978  99.85489  99.86992  99.88994 100.77698  99.82485 #>  [74383]  99.71459  99.90996 100.23472 100.46392  99.84488  99.95999  99.79479 #>  [74390] 100.12492 100.44401 100.14490  99.99500  99.82986  99.88493  99.69955 #>  [74397]  99.54898  99.49372 100.11493  99.76973 100.36932  99.75470 100.34441 #>  [74404]  99.91496  99.93998  99.73966 100.21477 100.72735 100.56838 100.00000 #>  [74411] 100.46392 100.00000  99.95499  99.84488 100.40418  99.75470  99.98500 #>  [74418] 100.41414  99.83486 100.64293 100.25468 100.44899 100.31949  99.69453 #>  [74425]  99.78978  99.09591  99.09087 100.15987 100.09495 100.17485 100.16486 #>  [74432]  99.56405  99.94498 100.03499  99.74969  99.79479 100.60318 100.26465 #>  [74439]  99.95499  99.83987  99.46356 100.24969 100.29955  99.90495  99.97000 #>  [74446]  99.44848 100.15488  99.49372 100.12992 100.20978  99.76472 100.06498 #>  [74453] 100.27961 100.04499 100.10494 100.80675 100.47885  99.94999  99.91997 #>  [74460]  99.66444 100.09995  99.86992 100.07497  99.85990  99.91496  99.68450 #>  [74467]  99.78978  99.64437  99.75971 100.09495  99.90495  99.30760 100.02500 #>  [74474]  99.71459 100.62803  99.92497 100.53855 100.13990  99.84989 100.46890 #>  [74481]  99.93498 100.09495 100.45895  99.73966 100.34939 100.33444  99.98000 #>  [74488] 100.46392 100.21477  99.74969 100.28958 100.52363  99.58916  99.73966 #>  [74495] 100.11993 100.27961 100.63797 100.09995  99.99000  99.76472  99.87492 #>  [74502]  99.99000  99.74969 100.19980 100.24969 100.14490  99.82485  99.67949 #>  [74509]  99.93498  99.80982  99.74467  99.36297  99.69453 100.18982  99.94999 #>  [74516]  99.85489 100.43406 100.05498  99.91997  99.89995  99.87993  99.80481 #>  [74523]  99.91997 100.21477 100.58330 100.09995  99.49372  99.39316  99.95499 #>  [74530]  99.71459 100.03999 100.26465 100.04499  99.80481 100.44899  99.98000 #>  [74537] 100.37430 100.23971 100.20978  99.74467 100.12992 100.20479 100.00000 #>  [74544] 100.24470  99.81483 100.57336 100.01000 100.21976  99.97500 100.40916 #>  [74551] 100.01000 100.20978 100.10994  99.79479 100.02500  99.74467  99.50879 #>  [74558] 100.09495 100.30454  99.88493  99.83987 100.24470  99.85990 100.09995 #>  [74565] 100.03499 100.18982 100.16486 100.20978 100.09495  99.78477 100.26964 #>  [74572]  99.64939 100.01000 100.23971  99.80982  99.62931 100.22974  99.88994 #>  [74579]  99.88493 100.04499 100.00500  99.63935  99.81984 100.07497  99.86491 #>  [74586] 100.60318 100.06998  99.65440  99.88493 100.19980 100.24969  99.75470 #>  [74593]  99.96499 100.02500  99.68450  99.50879  99.91997  99.45853 100.26964 #>  [74600] 100.17485  99.80982  99.80982 100.36434  99.57409  99.91997 100.07497 #>  [74607]  99.72462 100.05498  99.63433 100.14989  99.82485 100.22475  99.68952 #>  [74614] 100.26465  99.49372  99.58414  99.88493  99.90996  99.96499 100.28460 #>  [74621]  99.83987 100.33444  99.68450  99.97000 100.35935  99.99500  99.84488 #>  [74628] 100.08496 100.13990  99.95499 100.19481  99.75971  99.96499  99.93498 #>  [74635]  99.72462  99.53894 100.62306  99.80982 100.23472 100.39422 100.04999 #>  [74642]  99.53894 100.20978  99.45351 100.14989 100.28460  99.85489 100.25966 #>  [74649] 100.34939 100.41414  99.67949 100.38924 100.44899  99.85489  99.85489 #>  [74656] 100.36434 100.08996  99.85489  99.93998  99.85489  99.60422  99.89494 #>  [74663]  99.61928 100.48383 100.83154  99.55401 100.02500  99.84488  99.77976 #>  [74670] 100.15987 100.41912  99.82986 100.18982  99.99000 100.47885 100.57833 #>  [74677]  99.99000  99.78978  99.61426  99.45853 100.17984 100.41414  99.74969 #>  [74684] 100.47885  99.54396 100.05998  99.25220  99.87492  99.75470 100.07497 #>  [74691] 100.27462  99.84488  99.91997 100.16486  99.92497  99.75470 100.23971 #>  [74698]  99.83987  99.83987  99.74467  99.32271 100.32946  99.64437 100.42908 #>  [74705]  99.37303  99.71961 100.24470 100.34441  99.43339  99.64939  99.97500 #>  [74712]  99.82986 100.19980  99.99000 100.05498 100.07497  99.85489 100.18982 #>  [74719]  99.57911  99.80982  99.43842 100.43904 100.31949 100.15488  99.84488 #>  [74726]  99.94999 100.58827 100.20479  99.62429  99.84989  99.33781  99.84989 #>  [74733]  99.59920 100.30454 100.45397  99.92497 100.17485  99.56907  99.72462 #>  [74740] 100.11493 100.61809  99.93498  99.82986 100.19980 100.17984 100.08496 #>  [74747] 100.25468  99.89494 100.11493 100.26465 100.01500  99.84488  99.93998 #>  [74754]  99.65440  99.83987 100.32447  99.77475 100.18982 100.05998 100.45895 #>  [74761]  99.78477  99.95499 100.03499  99.42837  99.90996 100.33444  99.71961 #>  [74768]  99.93498  99.94999  99.61928 100.29457  99.60924 100.18982 100.17984 #>  [74775]  99.88994 100.36434 100.49378  99.96499 100.16986  99.94999  99.88493 #>  [74782]  99.93498  99.81984 100.10994 100.13990  99.95499  99.66444  99.95999 #>  [74789] 100.06498  99.88994 100.09495 100.20479 100.07997  99.88994  99.83486 #>  [74796]  99.95499 100.19980  99.55401  99.87993 100.19481 100.03999  99.67447 #>  [74803]  99.60422  99.88994 100.05998 100.03000  99.74969 100.44401 100.03499 #>  [74810] 100.11493 100.26964  99.95999  99.67949 100.10494  99.95499  99.58916 #>  [74817]  99.58414 100.28460 100.35437  99.70456  99.77976 100.10994 100.00500 #>  [74824]  99.92497  99.95999 100.38924  99.84488  99.83987  99.49874 100.35935 #>  [74831]  99.84989  99.63935  99.52387 100.15488  99.94498 100.01500 100.64790 #>  [74838]  99.88994 100.17984  99.66945  99.41831  99.92497  99.96499 100.04499 #>  [74845]  99.53894 100.36932 100.58827  99.90495  99.11609 100.25468  99.91496 #>  [74852]  99.94999 100.03000 100.58330  99.62429 100.58330 100.20978  99.62931 #>  [74859] 100.22475  99.97000  99.90996 100.50373 100.01000 100.30454 100.17984 #>  [74866]  99.73966  99.41831  99.57911 100.36932  99.65942  99.97000  99.65942 #>  [74873] 100.01500 100.10994 100.22475  99.82986 100.20978 100.25966 100.13990 #>  [74880]  99.88493  99.68450  99.93998  99.94999  99.90495  99.74467  99.72963 #>  [74887] 100.20479  99.81483  99.82485  99.69453  99.71961  99.70958  99.80481 #>  [74894]  99.82986  99.90996 100.10994  99.95999  99.76472  99.85990  99.88493 #>  [74901] 100.03499  99.85489 100.22475 100.40418  99.81483  99.90495  99.96499 #>  [74908]  99.93998 100.70253  99.96499 100.05498  99.80481  99.85489 100.36932 #>  [74915] 100.01500 100.08996 100.26465 100.15488 100.38924  99.75470 100.23472 #>  [74922] 100.05498 100.38426 100.50871 100.09995 100.08996 100.07997  99.91496 #>  [74929] 100.20978  99.78477 100.06498  99.96499  99.92497  99.94498  99.93498 #>  [74936]  99.69955 100.43904 100.18483 100.08496  99.96499 100.38924  99.74467 #>  [74943]  99.21189  99.87993 100.04999 100.40916 100.25468 100.26964 100.13491 #>  [74950] 100.29457  99.34284 100.21477  99.87993  99.72963  99.98500 100.14989 #>  [74957]  99.60924  99.72963  99.90996  99.77475  99.76472  99.56907  99.88994 #>  [74964] 100.08496  99.82485  99.84488 100.29955  99.84989 100.27462 100.27961 #>  [74971] 100.12492 100.12492  99.89494  99.60422  99.82485  99.51382 100.03999 #>  [74978] 100.08496  99.69453  99.69453  99.97500 100.02000 100.25468  99.96499 #>  [74985]  99.77976  99.35794 100.01500 100.72735  99.92497 100.22974 100.15987 #>  [74992]  99.98000 100.62803  99.71961  99.80481 100.30454 100.22974  99.93998 #>  [74999] 100.20479  99.50879 100.23971 100.27462 100.02000 100.56341 100.02500 #>  [75006]  99.93998  99.91496 100.27961  99.47864  99.72462  99.89995  99.78477 #>  [75013] 100.42410  99.93998 100.03000  99.70958  99.91997 100.17984 100.06498 #>  [75020] 100.14490  99.70456 100.22475 100.18982  99.43842 100.10494 100.16486 #>  [75027] 100.02500  99.86491  99.87993  99.64939  99.82986  99.88493 100.22475 #>  [75034] 100.83154 100.49378  99.87492 100.19481  99.70456  99.76472  99.79479 #>  [75041]  99.91997 100.33942  99.91997 100.20978 100.02000 100.29955  99.38813 #>  [75048]  99.55903 100.28958  99.83486  99.85489 100.28958  99.42837  99.75470 #>  [75055] 100.27961  99.77475 100.32447 100.04999  99.51382  99.88994  99.88994 #>  [75062] 100.15488  99.70456  99.59418 100.00500 100.09995  99.72963 100.14490 #>  [75069] 100.34441 100.13990  99.69955  99.79479 100.02000 100.26964  99.99000 #>  [75076]  99.63935  99.75470  99.71459 100.27462  99.54898  99.70456  99.81984 #>  [75083]  99.89995 100.23472 100.14490  99.69453  99.97000  99.82986  99.91496 #>  [75090] 100.01000  99.86992 100.17485  99.52387  99.62931  99.86992  99.82986 #>  [75097]  99.41328  99.79980  99.62931  99.32271  99.88994 100.07497 100.26465 #>  [75104] 100.09495 100.07497 100.08996  99.63433  99.84989 100.09995 100.13491 #>  [75111]  99.82986 100.26964  99.76472  99.76973  99.85990  99.80481 100.18982 #>  [75118]  99.73966  99.52889 100.46392 100.02000 100.06498  99.40322 100.73728 #>  [75125] 100.07997 100.23472 100.46890 100.35935 100.03000  99.94999 100.27462 #>  [75132] 100.00000 100.06498  99.95499 100.17984  99.89995 100.00000 100.38426 #>  [75139] 100.31451 100.06998 100.03499 100.25966  99.74467 100.27961  99.92998 #>  [75146]  99.84488 100.13990  99.90495  99.53894  99.76472  99.42334 100.04999 #>  [75153] 100.29457  99.76973 100.44899 100.07997  99.74467  99.69453 100.04999 #>  [75160] 100.14989 100.38924  99.83486  99.94498 100.21976  99.78477 100.58330 #>  [75167] 100.29955 100.08996 100.29955 100.03000 100.34441  99.73966 100.01500 #>  [75174]  99.88994  99.78978 100.09495 100.22475 100.07997 100.60815 100.11493 #>  [75181]  99.39819  99.83987  99.46356 100.16486  99.38310 100.18483  99.76472 #>  [75188] 100.11993  99.78477 100.17984  99.69955  99.81984  99.74969 100.05498 #>  [75195]  99.72462  99.49874 100.30454  99.98000  99.98000 100.18982  99.81984 #>  [75202] 100.09495  99.42837 100.10494 100.03000  99.72963 100.23472  99.58414 #>  [75209]  99.84989 100.31949  99.86992  99.64939  99.36297 100.04499 100.25966 #>  [75216] 100.06998 100.04999  99.69955 100.50373 100.20978  99.76973 100.02500 #>  [75223]  99.76472 100.00000 100.12492 100.37928  99.43842  99.65942  99.98000 #>  [75230] 100.05998 100.37928 100.17984 100.31451  99.76973 100.35437 100.06998 #>  [75237]  99.99000  99.32271 100.31451  99.58916 100.13491 100.23472 100.06498 #>  [75244]  99.88493 100.17984 100.19481 100.03499 100.00500 100.04999  99.71459 #>  [75251]  99.85489  99.58916 100.10494 100.48383 100.10494 100.14989  99.66945 #>  [75258] 100.23971  99.89995 100.22974 100.35437  99.82986  99.99500  99.98000 #>  [75265] 100.27961 100.13990 100.15987 100.07497 100.10494  99.88994 100.10994 #>  [75272] 100.24969  99.98500  99.74969  99.82485  99.66945 100.40418 100.01000 #>  [75279]  99.47864  99.70456 100.21477  99.72963  99.85990  99.73966 100.45895 #>  [75286] 100.05498 100.17485  99.55903  99.62429  99.52889  99.73966  99.95999 #>  [75293] 100.27961  99.42837 100.11993  99.81483  99.82485  99.74467 100.06998 #>  [75300] 100.47388 100.05498 100.03499  99.72963  99.67949 100.41414 100.42908 #>  [75307]  99.82485  99.94999 100.03000  99.62429  99.48869 100.01000  99.79980 #>  [75314] 100.10494 100.05998  99.72462 100.41414 100.14989  99.58916  99.55401 #>  [75321]  99.43339 100.21976 100.15987  99.93998 100.33444 100.11493  99.74467 #>  [75328] 100.15488  99.88994 100.18483 100.32447 100.14989 100.11993 100.18982 #>  [75335]  99.53391  99.89995 100.22974 100.31451  99.55903  99.57409 100.07497 #>  [75342]  99.60422  99.96499 100.56341  99.88994 100.32946  99.42334 100.21976 #>  [75349]  99.82986 100.42410 100.19481 100.16986 100.46392  99.77976 100.28460 #>  [75356] 100.34441  99.87492 100.01000 100.11993 100.14490  99.70958  99.93498 #>  [75363] 100.18982  99.94498 100.08496 100.10994 100.37928  99.94999  99.72462 #>  [75370]  99.54898 100.68764 100.00000 100.15987  99.80481  99.51382 100.48881 #>  [75377]  99.93498 100.58827  99.64437  99.93998  99.89494 100.43406 100.21477 #>  [75384] 100.11493 100.35935 100.04499  99.60422  99.37807 100.40418 100.26465 #>  [75391] 100.05498 100.18483  99.44848  99.63433 100.00000  99.58414 100.30952 #>  [75398]  99.94999 100.47388  99.79980 100.19481  99.46859 100.23971  99.71459 #>  [75405] 100.06998 100.35935  99.82986 100.26465 100.50871 100.13491 100.02000 #>  [75412]  99.83486 100.02000 100.11993 100.26964 100.02000 100.29457 100.33942 #>  [75419] 100.22974  99.64437  99.93998  99.89494 100.38426 100.17984 100.37928 #>  [75426]  99.89494  99.64939 100.55844 100.33444  99.75971  99.90495 100.07997 #>  [75433] 100.29955  99.64437  99.94999  99.97500  99.78978  99.56405 100.25468 #>  [75440]  99.94999  99.78978  99.89995 100.05998  99.83987 100.05498  99.66945 #>  [75447]  99.95499  99.77475  99.91997  99.76973  99.21693  99.68952  99.77475 #>  [75454]  99.89995 100.11993 100.10494 100.14490 100.45397  99.79479 100.03999 #>  [75461] 100.48881 100.00500  99.87492  99.87492 100.18982 100.10494  99.79479 #>  [75468] 100.26964  99.80481  99.67447 100.43904 100.06498  99.65440  99.78477 #>  [75475] 100.47885  99.74969 100.59821  99.80481  99.38813 100.08996 100.18982 #>  [75482]  99.38813  99.97500  99.49874 100.17485 100.57833  99.93998  99.94999 #>  [75489]  99.83486 100.04999  99.98000  99.55401 100.20479 100.42908 100.00500 #>  [75496]  99.51884 100.09495 100.64293  99.69955  99.77976 100.02500  99.37807 #>  [75503]  99.70456 100.02500 100.01500  99.84488 100.06998 100.17984 100.57336 #>  [75510] 100.21477 100.15987 100.02000 100.17485  99.65942  99.59418  99.75470 #>  [75517]  99.91496  99.87993  99.85489  99.91997  99.87492 100.19481  99.80982 #>  [75524] 100.40418 100.56838 100.12992 100.00000 100.18982  99.85990  99.94498 #>  [75531] 100.03999 100.20978  99.87492 100.05498 100.66777 100.02000 100.54352 #>  [75538] 100.32447  99.57409 100.20479  99.73465 100.58330 100.32447 100.23971 #>  [75545] 100.34441  99.22197  99.80481 100.44899  99.55401  99.99000  99.91997 #>  [75552]  99.67949  99.66945 100.18483 100.45397 100.07497 100.02000 100.29457 #>  [75559]  99.34284 100.13990  99.36800 100.14490 100.30952 100.06498  99.39316 #>  [75566]  99.88994 100.24969 100.28958 100.35437 100.50373  99.70958 100.03000 #>  [75573]  99.94498 100.15987 100.53855  99.89494  99.99500  99.80982  99.89995 #>  [75580] 100.06498  99.85489  99.59920  99.27739 100.07497  99.88994  99.93998 #>  [75587]  99.92998 100.05498  99.70958  99.74467 100.16486  99.90495  99.94498 #>  [75594]  99.78978 100.28460  99.57911 100.03999  99.87492 100.14989 100.06498 #>  [75601]  99.97000 100.72239 100.23971 100.02000  99.67447 100.17485 100.13990 #>  [75608]  99.85489  99.85489  99.80982 100.09495  99.70456  99.98500 100.15488 #>  [75615] 100.26964 100.46392 100.04999  99.50377 100.29955 100.12492 100.48383 #>  [75622] 100.10994 100.19980  99.45853 100.05498  99.97000  99.88994 100.43406 #>  [75629] 100.33942 100.08996 100.13990  99.61928 100.24969 100.27961 100.17984 #>  [75636]  99.97500  99.86992  99.36297  99.94498  99.92497  99.93998  99.52387 #>  [75643]  99.65942  99.59418 100.39920  99.69955  99.87993  99.40322 100.50871 #>  [75650] 100.12992  99.73465  99.85990 100.32447 100.02500 100.19980 100.44899 #>  [75657] 100.21976 100.20978 100.39422 100.39920 100.14490  99.66444  99.60422 #>  [75664]  99.51382 100.08496  99.89995 100.04499 100.26465 100.11993 100.30454 #>  [75671]  99.74467 100.04999 100.24969  99.67447 100.29457  99.77976 100.01500 #>  [75678] 100.24969 100.01000 100.25468  99.99000 100.27961 100.28460  99.91997 #>  [75685] 100.73728 100.01000 100.30454  99.68450  99.89995  99.66444 100.24470 #>  [75692]  99.88994  99.68450 100.25966  99.76472  99.47361 100.33942 100.01000 #>  [75699]  99.68952  99.85489  99.88493 100.28460  99.86992  99.70958  99.83486 #>  [75706]  99.87993 100.25468 100.10494 100.21976  99.73966  99.86491 100.09995 #>  [75713]  99.80481 100.30454 100.18982  99.33277  99.79980  99.71459  99.85990 #>  [75720] 100.54850  99.44345  99.69453  99.90495 100.37430  99.84989 100.03499 #>  [75727] 100.03499  99.80481  99.67949  99.93998  99.90495 100.18982  99.85489 #>  [75734] 100.04499  99.55401 100.28460  99.86491 100.25468 100.14490 100.10494 #>  [75741]  99.74467  99.72963  99.72963  99.96499 100.14490 100.15987  99.94999 #>  [75748]  99.76973  99.46859  99.85489  99.51382 100.17485  99.97000 100.22475 #>  [75755] 100.26465  99.78477  99.89494 100.00500 100.17485  99.89494  99.95499 #>  [75762] 100.02500  99.55903  99.97500 100.06498 100.43904  99.94999 100.34441 #>  [75769]  99.74467 100.20479 100.46392 100.10994 100.00500  99.82485  99.98500 #>  [75776] 100.57336  99.58916  99.73465 100.30454  99.15140 100.13990 100.22475 #>  [75783]  99.57409  99.48367  99.45853  99.77976  99.95999 100.15488 100.18982 #>  [75790]  99.71459  99.74467 100.27961 100.11993 100.12492 100.00500  99.63433 #>  [75797] 100.21976 100.26964  99.46356  99.76472  99.84989  99.82485  99.52889 #>  [75804] 100.00500  99.81984 100.68764  99.61426  99.68952 100.16986 100.34939 #>  [75811] 100.38426 100.24470  99.98000  99.93498 100.44899  99.97000 100.65784 #>  [75818] 100.22974 100.38426  99.95999 100.27961 100.14989 100.25966 100.11993 #>  [75825]  99.81984  99.72963 100.01000 100.35437  99.60422  99.80481 100.45397 #>  [75832] 100.47388 100.02500  99.77475  99.96499 100.24470  99.79479  99.57409 #>  [75839]  99.93498  99.71459  99.85489  99.74467 100.12992  99.62931  99.53894 #>  [75846]  99.50377 100.31949  99.98000  99.65942  99.94999  99.53391  99.90495 #>  [75853]  99.78978  99.28746  99.58916 100.59324  99.70456 100.13990 100.29457 #>  [75860] 100.61809 100.09495 100.00500 100.19980 100.02500 100.02500  99.63935 #>  [75867] 100.09995 100.43904 100.24969  99.99500  99.77475  99.90996 100.21477 #>  [75874] 100.09495  99.83987 100.25966  99.89995  99.99500  99.68450 100.31949 #>  [75881] 100.20978 100.25966  99.94498  99.59418  99.85489  99.54898  99.87492 #>  [75888] 100.23971  99.98500 100.25966 100.48881  99.94498 100.26465 100.56838 #>  [75895]  99.37303  99.81984  99.53894  99.98000 100.27961  99.81984 100.05998 #>  [75902] 100.44401  99.53894 100.14490  99.65942 100.16486 100.12492 100.20479 #>  [75909]  99.85489 100.07997 100.00000  99.74467 100.29955 100.18982  99.85489 #>  [75916]  99.65440 100.04999  99.63935  99.96499  99.93498  99.98000 100.51865 #>  [75923] 100.03000 100.11493  99.99000  99.58414 100.33444 100.02500  99.97500 #>  [75930] 100.22974 100.13491 100.22974 100.05998  99.92497 100.21477 100.46890 #>  [75937] 100.14989 100.01500 100.02000 100.03499  99.66444 100.18982 100.01000 #>  [75944] 100.00000 100.30454  99.61928  99.94999  99.99000  99.61928 100.18982 #>  [75951]  99.82485 100.22475  99.80982  99.57911 100.22974 100.22974 100.17984 #>  [75958]  99.66945 100.06998  99.75470  99.81984  99.78477 100.25966 100.34939 #>  [75965] 100.25468 100.02500 100.30454 100.53855  99.87492  99.80481 100.12492 #>  [75972] 100.11493  99.94999 100.11493  99.66444  99.85489  99.75470  99.70958 #>  [75979]  99.64437 100.04999 100.22475 100.14989 100.03499  99.64437 100.69757 #>  [75986] 100.19481 100.29457 100.16486  99.44345  99.77475  99.46356 100.09495 #>  [75993] 100.13990  99.78978 100.01500 100.28460 100.01500 100.12992  99.58414 #>  [76000]  99.67949 100.18982 100.24470  99.92497 100.09995 100.03499 100.15987 #>  [76007] 100.13990 100.16986  99.71459 100.53358  99.89995  99.99500  99.70958 #>  [76014] 100.32447 100.53358 100.40418 100.13491  99.36800 100.46890  99.78978 #>  [76021]  99.91997 100.03999 100.66777 100.01500 100.41414 100.19980  99.71961 #>  [76028]  99.53391 100.22974 100.25966 100.17485 100.12992  99.38310 100.11993 #>  [76035] 100.14490 100.31451 100.59821  99.55401 100.08996  99.83486 100.15488 #>  [76042]  99.80481  99.87492  99.45351  99.78978  99.70958  99.75971  99.88994 #>  [76049] 100.40418  99.80481 100.16986 100.12992  99.86992 100.07997  99.91997 #>  [76056]  99.99500  99.81984  99.69955  99.91496  99.72963 100.25966  99.76973 #>  [76063]  99.59920  99.29250  99.95499  99.90996  99.87492 100.37430 100.57833 #>  [76070] 100.33942  99.73465 100.28460 100.61312 100.21477 100.15987 100.19481 #>  [76077] 100.30952 100.26465  99.59418 100.66280  99.83987 100.10494 100.37928 #>  [76084] 100.46890 100.13491 100.09495 100.02500  99.83987 100.03000 100.34441 #>  [76091] 100.03000  99.68450  99.77976  99.34787  99.83486  99.83486  99.82485 #>  [76098] 100.06998 100.20479 100.01500  99.99500  99.99500  99.90996 100.27961 #>  [76105] 100.08496 100.32946  99.87492  99.90996  99.95999  99.98000 100.37430 #>  [76112]  99.93498  99.65440 100.20479 100.01000  99.74969  99.50879  99.80481 #>  [76119]  99.82485  99.66444  99.44848  99.88493 100.52363 100.41912  99.71961 #>  [76126]  99.81984 100.12492  99.94999 100.72735 100.47388  99.97000  99.82986 #>  [76133]  99.67949  99.28746 100.69260  99.94498 100.40916  99.73465  99.85489 #>  [76140]  99.54396  99.88994 100.35437 100.05498 100.56838  99.96499 100.57336 #>  [76147]  99.85990 100.12492  99.67447  99.92998 100.03000  99.51884 100.69757 #>  [76154] 100.34939 100.12992 100.05498  99.99000  99.59920 100.23472 100.24470 #>  [76161]  99.90495  99.89494  99.64437  99.80481 100.11493 100.15488 100.24470 #>  [76168]  99.65440 100.69757 100.23971  99.68952  99.93498 100.51865 100.28958 #>  [76175] 100.04499 100.06998 100.40916  99.28243  99.91496 100.06998  99.00000 #>  [76182] 100.39920  99.62429 100.19481 100.14989 100.08996  99.95499  99.76973 #>  [76189]  99.87993  99.41328 100.19481 100.12992 100.35935  99.48869  99.68952 #>  [76196]  99.93998 100.16486 100.08496 100.03499 100.08996 100.52363 100.12492 #>  [76203] 100.18982  99.73465 100.06498 100.03000 100.40418 100.52860  99.66945 #>  [76210]  99.42837  99.91997  99.58414 100.21976 100.13491  99.60924 100.22475 #>  [76217] 100.18483 100.47885 100.12492 100.35437  99.75971 100.27961 100.04499 #>  [76224] 100.26964  99.78978  99.85990 100.33444  99.64437  99.84989  99.71961 #>  [76231] 100.00000  99.98000 100.23472 100.28460 100.08996  99.55903  99.65440 #>  [76238] 100.13990 100.12492  99.68450  99.89494  99.68952 100.28958 100.29955 #>  [76245] 100.49876 100.22974  99.87492  99.68450 100.16486  99.33781 100.05998 #>  [76252]  99.71961 100.02000 100.05998  99.49372  99.92998  99.27739 100.37430 #>  [76259]  99.86992 100.14490 100.06998  99.71961  99.86992  99.76973  99.99000 #>  [76266] 100.19980  99.74969 100.19980 100.06498  99.83987 100.17984 100.14989 #>  [76273] 100.19980  99.49874 100.09495 100.45397  99.73966  99.66945 100.27961 #>  [76280]  99.84488  99.65942  99.45351  99.77976 100.14490  99.92998  99.86992 #>  [76287]  99.98000 100.14989  99.66945 100.34441 100.20479  99.52889  99.78477 #>  [76294]  99.70958 100.00000  99.88994 100.13491 100.10994 100.46392 100.10494 #>  [76301]  99.87993 100.33444  99.95999 100.29955  99.55903 100.37430 100.29457 #>  [76308]  99.83486  99.93498 100.27462  99.73966 100.18982  99.75470 100.25468 #>  [76315] 100.32447 100.23971 100.11493 100.29955 100.20479  99.73465 100.29457 #>  [76322] 100.27961 100.40916  99.73465  99.89494 100.16986 100.00500  99.98500 #>  [76329]  99.81483  99.50377  99.90996  99.42837  99.89995  99.85990  99.74969 #>  [76336]  99.94498 100.08996 100.17984  99.86992  99.72963  99.72963 100.06498 #>  [76343]  99.89494 100.03999  99.47864  99.52889  99.97000  99.98000  99.91496 #>  [76350]  99.72963  99.77976  99.58414 100.02500  99.49372 100.39422 100.34441 #>  [76357] 100.25468 100.05498  99.86992  99.62429  99.77475 100.16486  99.86491 #>  [76364]  99.80481  99.87492 100.13990 100.40418 100.10494 100.27462  99.75470 #>  [76371] 100.20479 100.21976 100.15987  99.87492 100.29457  99.42334  99.72963 #>  [76378] 100.02500  99.67949 100.44899 100.45397  99.94999  99.40322  99.89995 #>  [76385]  99.92998 100.49876 100.29457 100.26964  99.66945 100.10994  99.99000 #>  [76392] 100.17984 100.10494  99.89995  99.58916  99.66444 100.15488  99.34284 #>  [76399]  99.34787 100.53855 100.39920  99.65942  99.59418 100.02500  99.87492 #>  [76406]  99.74467 100.45895 100.45397  99.86992  99.86992  99.94498 100.36932 #>  [76413]  99.88994  99.41831 100.64790  99.89995 100.04999 100.12492 100.02500 #>  [76420]  99.72963 100.03999  99.85990 100.14989  99.78978  99.57911  99.91496 #>  [76427] 100.48383 100.06498 100.35437  99.69955  99.95499 100.05498  99.65942 #>  [76434] 100.02000  99.74969  99.77475 100.42410 100.29457 100.14490 100.04499 #>  [76441] 100.29955  99.86992 100.25468 100.18982  99.66945  99.58414  99.71459 #>  [76448] 100.01000 100.09495  99.98000  99.71961  99.76973  99.95999  99.92998 #>  [76455]  99.80982 100.02500  99.99500  99.86992 100.45397  99.60422 100.28460 #>  [76462] 100.21477  99.81483  99.91997  99.84989 100.27961 100.17485 100.23472 #>  [76469]  99.84989 100.03000  99.79980  99.96499  99.42334  99.67447  99.93498 #>  [76476]  99.49372 100.09995  99.46859  99.79479  99.71459 100.15987 100.39920 #>  [76483]  99.68952  99.82485  99.74969 100.32946  99.93998 100.03000  99.58414 #>  [76490]  99.84488 100.62803 100.00500  99.63935 100.16486 100.39422 100.13990 #>  [76497] 100.37430  99.86992 100.47885  99.78477  99.86992 100.31949 100.07497 #>  [76504] 100.33942 100.06498 100.44401  99.84488  99.87492 100.13990  99.68450 #>  [76511]  99.86491  99.82485  99.85489  99.50377  99.75971  99.87993  99.87993 #>  [76518]  99.89995 100.25468 100.48383  99.68450 100.67274 100.02500  99.58916 #>  [76525] 100.14989 100.11493  99.68450  99.55401 100.30952  99.77976  99.97000 #>  [76532]  99.95499  99.53894  99.78978 100.53358 100.00500  99.63935  99.51884 #>  [76539]  99.60422 100.11993  99.70456  99.59418  99.63935  99.64437  99.57911 #>  [76546] 100.21477 100.08996 100.01000 100.53855  99.88493 100.41414 100.31949 #>  [76553] 100.30454  99.81984  99.76472  99.81984  99.63935 100.47885  99.71961 #>  [76560] 100.37928 100.37928 100.30454 100.19980 100.34939  99.75470  99.89494 #>  [76567] 100.67274  99.91997  99.91496  99.78978  99.69453 100.70253 100.03499 #>  [76574] 100.48881 100.01500  99.79980 100.18483  99.82986 100.60318  99.99500 #>  [76581]  99.84488  99.82485  99.94999  99.63433 100.06498 100.27462 100.59324 #>  [76588]  99.65440 100.47885 100.37430 100.07497  99.57409 100.00000  99.17157 #>  [76595] 100.37928  99.73966  99.70958  99.63935  99.93998  99.75470 100.19980 #>  [76602] 100.62306 100.29955  99.52387 100.16486 100.10494  99.89995 100.38426 #>  [76609] 100.02500 100.31949 100.00500  99.86491 100.60815 100.07997  99.54898 #>  [76616] 100.24470  99.82485  99.63935 100.08996  99.62429  99.77475  99.70958 #>  [76623] 100.13491  99.78477  99.98500 100.00000  99.75971  99.98000 100.00000 #>  [76630]  99.62429  99.78978  99.63433 100.33444  99.90996 100.10994  99.92998 #>  [76637] 100.80179  99.77976 100.31949  99.96499 100.69757  99.76472  99.48869 #>  [76644] 100.46392  99.97000  99.37303 100.28460  99.48869  99.62429  99.45351 #>  [76651] 100.24969 100.09495  99.61426  99.86491  99.72963 100.44899  99.66945 #>  [76658]  99.65942 100.44899 100.45895  99.94498  99.76973  99.71961 100.44899 #>  [76665]  99.65942  99.65440 100.21477  99.91997 100.14490 100.00500 100.08496 #>  [76672]  99.88493 100.07997 100.16486 100.30952  99.81483  99.90996 100.02000 #>  [76679]  99.72963 100.08996 100.17984  99.97000 100.19980 100.64293 100.10994 #>  [76686]  99.62429 100.00000 100.05998  99.93498  99.29753  99.95999  99.90495 #>  [76693]  99.82986  99.83987 100.20479  99.82986 100.21976  99.76472  99.82986 #>  [76700] 100.15987  99.60422  99.57911  99.84989  99.54898  99.99500  99.42837 #>  [76707]  99.63433  99.53391 100.24969  99.86491 100.38924  99.98500 100.13990 #>  [76714] 100.11993  99.78477 100.31451 100.48383 100.11493 100.10494 100.36434 #>  [76721] 100.51368 100.71246  99.96499  99.70958 100.04499 100.06498 100.24969 #>  [76728]  99.86992 100.15987 100.25468  99.71459  99.86992  99.75971 100.34939 #>  [76735] 100.25468 100.42908 100.25468  99.65942  99.76973 100.58827 100.21976 #>  [76742]  99.74467  99.82986 100.24969 100.27961  99.84488 100.13990 100.02000 #>  [76749] 100.09495  99.69955 100.42908 100.03499 100.52363 100.05498 100.38426 #>  [76756] 100.34441  99.61928 100.15987  99.93498 100.35935 100.08996 100.14490 #>  [76763] 100.00500  99.55401  99.89494 100.21477  99.75971  99.94999 100.27961 #>  [76770] 100.12492 100.31949 100.01000  99.90495 100.49378  99.73465 100.36932 #>  [76777] 100.13990 100.34441 100.37430 100.06498 100.16986  99.93998 100.28958 #>  [76784]  99.95999  99.27739 100.22974 100.24969  99.68952  99.84488 100.57833 #>  [76791] 100.10494  99.81984  99.91997  99.70456 100.29457 100.22475  99.80481 #>  [76798] 100.44899  99.72963  99.97500 100.02000  99.71459 100.10994  99.80481 #>  [76805]  99.75470 100.02000  99.34284 100.04999  99.61928 100.09495 100.13990 #>  [76812]  99.63433 100.09495 100.03000 100.22475 100.25468  99.56907  99.90495 #>  [76819] 100.07997 100.03999 100.28460 100.21976 100.25468 100.11493  99.55401 #>  [76826]  99.76973 100.03999  99.81483  99.96499 100.20978  99.69955  99.89494 #>  [76833] 100.10994 100.21477 100.56838  99.88493 100.58330 100.51865  99.66945 #>  [76840] 100.37928  99.61928  99.97000  99.89995 100.27462  99.71961 100.17984 #>  [76847] 100.19980  99.80982 100.04499  99.43339 100.03999 100.07497  99.72963 #>  [76854]  99.67949  99.55903  99.22701 100.02000  99.69955 100.10494  99.93998 #>  [76861] 100.47388  99.95999  99.71961  99.76472  99.82986  99.89494 100.03000 #>  [76868]  99.78978  99.86491 100.21477  99.69955  99.94498 100.23971  99.74467 #>  [76875] 100.17485 100.29457  99.43842 100.26964 100.31949  99.90495  99.90996 #>  [76882] 100.44401 100.30952 100.65784  99.89494 100.23971 100.00000  99.63433 #>  [76889] 100.00500 100.26964 100.06498  99.59920  99.84989  99.78978  99.92497 #>  [76896]  99.90495 100.00000  99.95999  99.99500  99.44848 100.04499 100.24470 #>  [76903]  99.97500  99.95499 100.31451 100.19980  99.67447 100.00000  99.92998 #>  [76910]  99.87993 100.06498 100.52363 100.27462 100.07497 100.03499 100.28958 #>  [76917]  99.71961  99.70456 100.19481  99.84989  99.87492  99.45351  99.93498 #>  [76924] 100.02500 100.18483  99.80481 100.07997 100.21976 100.06998 100.31451 #>  [76931] 100.50871  99.65440  99.94498 100.38924 100.35935 100.33444 100.79683 #>  [76938] 100.11993 100.32946  99.46356 100.36434  99.91997 100.16486  99.91997 #>  [76945]  99.81984  99.53894  99.94999  99.46356  99.83486 100.00000 100.58827 #>  [76952] 100.01000 100.07997  99.82485  99.84488  99.75971  99.88493  99.43339 #>  [76959] 100.11993 100.11993  99.84488 100.46890 100.14490  99.92998  99.57911 #>  [76966] 100.03499  99.85489 100.03999  99.54898 100.18483 100.60815 100.07497 #>  [76973]  99.99500  99.89494  99.67949 100.12992 100.29457  99.66945 100.13990 #>  [76980] 100.01000  99.59418 100.12492 100.08996 100.07997  99.70958 100.26465 #>  [76987] 100.29457  99.53894 100.13491 100.01000 100.03000  99.86992  99.84989 #>  [76994] 100.01500  99.60422  99.57409  99.91997  99.93998 100.62803 100.00500 #>  [77001] 100.14490 100.11993  99.44345  99.48869 100.48383  99.83486 100.13990 #>  [77008] 100.04999  99.81483 100.31451 100.19481  99.90996  99.72963  99.56405 #>  [77015] 100.22475 100.07997  99.76973 100.10494  99.63433 100.11993  99.81984 #>  [77022]  99.87492 100.40418 100.40916 100.62803  99.52889  99.45351 100.17485 #>  [77029]  99.96499 100.16486 100.03999  99.83486  99.64939 100.76210 100.21477 #>  [77036]  99.82485  99.74467  99.46859 100.25468  99.68952  99.83486  99.49372 #>  [77043] 100.22974 100.49378  99.39316  99.26228  99.80481 100.04499 100.11993 #>  [77050] 100.03000  99.58916 100.25468 100.39422 100.24470  99.79980 100.22974 #>  [77057] 100.20479  99.94498  99.62429  99.34284 100.03499  99.99500 100.41912 #>  [77064] 100.01500 100.20479  99.94498 100.05998  99.73966 100.00000 100.25966 #>  [77071] 100.26964  99.84488  99.89995 100.13491  99.83987 100.31451  99.90495 #>  [77078] 100.19980  99.77475  99.78477 100.24470 100.56341 100.48383  99.86491 #>  [77085] 100.10994  99.98500 100.06498  99.65942 100.05998 100.03000 100.12492 #>  [77092] 100.12492 100.01500  99.81984  99.95999 100.51368  99.78477 100.54352 #>  [77099] 100.39422 100.18483 100.35437 100.18982  99.83987  99.76472  99.87492 #>  [77106]  99.66444 100.09495 100.17984 100.18483  99.99000  99.50377 100.00000 #>  [77113] 100.11493 100.28460 100.38924 100.10494  99.78978  99.89995 100.06998 #>  [77120]  99.73966  99.67447 100.64293  99.79980 100.24969 100.16986  99.58916 #>  [77127]  99.86992  99.91997 100.31949 100.46392  99.77475 100.44401 100.13491 #>  [77134]  99.89494  99.61426  99.86992 100.15488 100.49378 100.05998 100.12992 #>  [77141]  99.30760  99.84488  99.72963  99.69453  99.64437  99.44848  99.73966 #>  [77148]  99.96499 100.33942 100.29955  99.72963  99.94999  99.94498  99.64939 #>  [77155]  99.89494  99.80481 100.17984 100.02000 100.07497 100.08496 100.02000 #>  [77162] 100.36932 100.00000 100.08496  99.99000 100.11993  99.60924  99.43842 #>  [77169]  99.71961  99.70456 100.04499  99.78978 100.26964  99.93998  99.86992 #>  [77176] 100.33444  99.82986 100.11993  99.80982 100.14490 100.39422 100.34939 #>  [77183]  99.44848  99.95999 100.52860 100.40418  99.90495 100.15488 100.01500 #>  [77190]  99.58414  99.86992  99.92497  99.86992  99.50879 100.01000 100.02500 #>  [77197] 100.45895 100.00500  99.55401  99.73465  99.81483  99.94498 100.32946 #>  [77204]  99.76472  99.77976 100.07997 100.27961 100.27462 100.12492 100.11493 #>  [77211] 100.05998  99.63935  99.84989  99.54898  99.70958  99.88994  99.83987 #>  [77218] 100.44899 100.06498  99.57409  99.46356  99.93498  99.57409  99.87993 #>  [77225]  99.61426 100.03000 100.25468 100.26465 100.02000 100.06498  99.59418 #>  [77232] 100.18483  99.92998 100.22974  99.86992  99.75470 100.41912  99.25724 #>  [77239] 100.31949 100.12492  99.49874  99.65440 100.05498  99.98500  99.92998 #>  [77246]  99.92998 100.70253 100.28958 100.17984 100.18982  99.82986  99.97000 #>  [77253] 100.18483 100.23971 100.01500 100.10494 100.53358 100.46392  99.75470 #>  [77260]  99.78477 100.22475 100.16486 100.09995 100.01500  99.67949 100.18483 #>  [77267] 100.23971  99.91496  99.69453 100.36932  99.76472  99.86992 100.44899 #>  [77274] 100.13491 100.08496  99.87492  99.74969 100.09995  99.75470 100.03999 #>  [77281]  99.82485 100.20479  99.98500  99.57911 100.61312 100.22974  99.83987 #>  [77288]  99.94498  99.82986 100.31949  99.85990  99.58414  99.62429 100.06998 #>  [77295] 100.15488 100.68267 100.37430  99.75470 100.29457  99.46356 100.01500 #>  [77302] 100.04999  99.79980 100.05498  99.47361  99.62429 100.19481  99.81984 #>  [77309]  99.81984 100.00000  99.92497 100.08996 100.22475 100.35935  99.92497 #>  [77316] 100.38426  99.70958 100.02000 100.10994  99.50879 100.37430 100.31451 #>  [77323] 100.15488 100.52860  99.82485 100.56838  99.44345 100.29457  99.93998 #>  [77330] 100.04499  99.79980 100.34441 100.16486  99.98500 100.01500  99.91997 #>  [77337]  99.78978 100.19481  99.99000 100.29457 100.45397 100.05498 100.00500 #>  [77344] 100.30454  99.84989 100.50373 100.40418 100.29955  99.85990  99.86992 #>  [77351]  99.58414  99.96499  99.94498  99.62429  99.86992  99.84989 100.17485 #>  [77358]  99.53391 100.35935 100.03999  99.61426 100.04999  99.73966  99.70958 #>  [77365]  99.72462  99.74467 100.62803 100.33444 100.04499  99.80481 100.02000 #>  [77372]  99.82485 100.29457 100.30952 100.39422 100.43406 100.46890 100.25468 #>  [77379]  99.38310  99.93498 100.14989  99.70456  99.66945  99.90996  99.74467 #>  [77386]  99.74969  99.55401 100.09495 100.25468  99.47864 100.17485 100.31949 #>  [77393] 100.01500 100.53855  99.95499  99.85990 100.20479  99.86992  99.93498 #>  [77400] 100.20978 100.36932 100.14490  99.45351  99.74467  99.79479 100.54850 #>  [77407] 100.21976 100.09995 100.01000  99.87993 100.27462  99.76472  99.69453 #>  [77414] 100.70253 100.15987  99.49874 100.03499 100.48881  99.71459  99.66444 #>  [77421] 100.26964 100.21477  99.87492  99.67447  99.68450 100.32946 100.64790 #>  [77428] 100.53855 100.11993 100.24470  99.62931  99.53894 100.12992  99.89494 #>  [77435] 100.66777 100.50373 100.32946 100.19980  99.69955  99.89995 100.47885 #>  [77442]  99.55903 100.14490 100.37430  99.60422  99.52889  99.94999 100.79683 #>  [77449] 100.24470  99.66945 100.10994  99.38813 100.16986 100.40418  99.72462 #>  [77456]  99.45853  99.60422 100.16986 100.05998 100.05998 100.03999 100.19980 #>  [77463] 100.12992  99.65942  99.17661  99.68450  99.78477  99.79479 100.54850 #>  [77470]  99.87492 100.40916  99.75971 100.06498 100.02500 100.31451  99.92497 #>  [77477]  99.38813  99.45853  99.62429  99.79479  99.72462  99.55903  99.72462 #>  [77484] 100.24969  99.35794  99.97500 100.08496 100.43904  99.94498 100.44401 #>  [77491]  99.81984 100.35437 100.33444  99.79479  99.92998 100.35935  99.99500 #>  [77498]  99.62429  99.49372 100.25966  99.97500 100.14989  99.90495  99.76472 #>  [77505]  99.74467  99.67447 100.51865  99.85990 100.26465 100.19481  99.53894 #>  [77512] 100.13491  99.98500 100.17984 100.36932 100.26465 100.39920  99.78978 #>  [77519] 100.57833 100.21477  99.80481 100.26964  99.62931  99.78477  99.77475 #>  [77526]  99.28243 100.05998  99.43842  99.99000 100.26465  99.76973 100.45895 #>  [77533]  99.91496  99.82485  99.77475 100.00000 100.78194  99.73465  99.94999 #>  [77540] 100.24969  99.95499  99.79479 100.21976 100.65287 100.13990  99.72963 #>  [77547]  99.67447  99.98500 100.00000  99.79980 100.55347  99.73465  99.66444 #>  [77554] 100.07497 100.13491 100.23472 100.67770  99.80982 100.25468  99.74969 #>  [77561]  99.78978  99.74969 100.10994  99.44345 100.47388  99.80982 100.17984 #>  [77568] 100.34939 100.48383  99.80481 100.11993 100.28460 100.07997 100.43406 #>  [77575] 100.50373 100.02500  99.86491  99.40322 100.18982  99.67949  99.94498 #>  [77582]  99.37807  99.23205  99.88994 100.23971 100.32946 100.15488  99.95499 #>  [77589]  99.94498 100.05498  99.53894 100.32946  99.66945 100.21477 100.13990 #>  [77596] 100.26465 100.23472 100.06498  99.80982  99.79980 100.37928  99.96499 #>  [77603]  99.56405 100.36434 100.02500  99.84488  99.98000 100.14490 100.33942 #>  [77610] 100.09995 100.14490 100.03499 100.24470  99.99500  99.83486  99.98500 #>  [77617] 100.08996  99.74969 100.25468 100.02500 100.22475  99.89995 100.52363 #>  [77624]  99.85489 100.10494 100.54352 100.35935  99.60924 100.47885 100.21976 #>  [77631]  99.85990  99.89995  99.44848 100.01500 100.36434  99.73465  99.61426 #>  [77638] 100.08996 100.31949  99.53894 100.41912  99.95999  99.67447  99.82485 #>  [77645] 100.19980  99.82986  99.61426  99.62931  99.69955 100.16986  99.96499 #>  [77652] 100.22475  99.64939 100.33942  99.99500  99.72963 100.05498  99.90495 #>  [77659]  99.87993  99.85489  99.79980  99.80982  99.83486 100.11993  99.59418 #>  [77666] 100.07497 100.04499 100.07497 100.15488 100.29457 100.41912  99.66444 #>  [77673] 100.17984  99.91997 100.18483  99.76472  99.44345 100.26465 100.19481 #>  [77680]  99.76472  99.76472  99.79479 100.12492  99.88493 100.37430  99.86992 #>  [77687] 100.35437  99.97500 100.36434 100.57833 100.23971 100.39920 100.27462 #>  [77694]  99.85990  99.95999  99.94999  99.75470 100.09495 100.17984 100.02000 #>  [77701]  99.42334 100.25966 100.09995 100.09995  99.93498 100.54352  99.79479 #>  [77708] 100.09495 100.08996 100.07497  99.93498 100.29457 100.28958  99.86491 #>  [77715]  99.89995 100.03999  99.60924 100.19980  99.97500 100.08996 100.27462 #>  [77722] 100.40418  99.95499  99.79980 100.26964  99.94498 100.23472  99.89494 #>  [77729] 100.20978 100.16486  99.52889 100.01500 100.12492 100.42908 100.16986 #>  [77736]  99.78477  99.71459 100.67770  99.82485 100.39920 100.31949 100.37928 #>  [77743] 100.38924 100.04999  99.79479 100.05998 100.04499  99.88994  99.72963 #>  [77750] 100.32447 100.19980  99.98000  99.86992 100.41912 100.10994  99.73966 #>  [77757]  99.39316 100.40418 100.30952 100.25966 100.43904  99.69955  99.94498 #>  [77764] 100.32447 100.28958  99.84488  99.74969  99.92497 100.12492  99.76472 #>  [77771] 100.11493  99.94999 100.29457  99.81483 100.02500  99.93998  99.48869 #>  [77778] 100.48383  99.87492 100.66280  99.93998 100.33444 100.17485 100.48383 #>  [77785]  99.43842  99.88493  99.76973  99.54396  99.79479  99.35291 100.38924 #>  [77792]  99.91496  99.91997  99.65440 100.28460 100.17984 100.38924  99.76973 #>  [77799] 100.57833 100.23971 100.03499  99.83987  99.89995 100.01500 100.20978 #>  [77806] 100.00500  99.86491 100.21477  99.81984  99.52387  99.82986 100.11493 #>  [77813] 100.11993  99.79479  99.95999  99.95999  99.88493  99.88994  99.42334 #>  [77820] 100.24470 100.00000 100.12992  99.94999 100.36932  99.93498 100.03000 #>  [77827]  99.79479 100.08996 100.14490  99.72963 100.21976  99.60924  99.83987 #>  [77834] 100.32447 100.22475  99.82986  99.68450 100.03499  99.75470 100.04999 #>  [77841]  99.90495 100.12992  99.94498 100.12992  99.68450  99.90495  99.72462 #>  [77848] 100.16486  99.96499 100.02500 100.28460  99.74467 100.32447 100.32946 #>  [77855] 100.06998 100.03999 100.48383 100.24969 100.00000  99.75971 100.40916 #>  [77862] 100.52363 100.32447 100.06498  99.58916 100.16986 100.05498  99.82986 #>  [77869]  99.65942  99.82485 100.02500  99.87993  99.91496  99.87492 100.47885 #>  [77876]  99.82986  99.92497 100.41414  99.83987  99.39819  99.57911 100.52860 #>  [77883]  99.93498 100.25468 100.26465  99.84989 100.18483  99.59418  99.68450 #>  [77890]  99.84488 100.30454  99.94498  99.86992  99.75470 100.03499  99.67949 #>  [77897] 100.16986  99.86992 100.00500  99.82986 100.00500 100.43406  99.78477 #>  [77904] 100.04499  99.87492 100.26465  99.97000 100.07997 100.08996 100.48383 #>  [77911]  99.78477  99.80481  99.94498 100.28958 100.15987 100.03000  99.69955 #>  [77918] 100.27961 100.02500  99.76472 100.05498 100.53855 100.03499  99.80481 #>  [77925]  99.77976 100.05998  99.60924 100.04499  99.89494  99.83987  99.60924 #>  [77932]  99.60924  99.90996  99.70456  99.90495 100.04499  99.89494  99.68952 #>  [77939] 100.51865  99.73465 100.23472 100.14490 100.07997  99.66945  99.96499 #>  [77946]  99.82485  99.70456 100.21477  99.62931 100.28958 100.07497 100.10994 #>  [77953]  99.80982  99.82485  99.97000 100.17485 100.13491 100.52363 100.20978 #>  [77960] 100.26964 100.12492 100.11993  99.89494 100.13491  99.79479  99.99000 #>  [77967]  99.34284  99.56907 100.03499 100.31949 100.15488 100.18982 100.49378 #>  [77974] 100.37430 100.16986 100.16986 100.23472  99.86992 100.00000 100.30454 #>  [77981]  99.73966  99.83486 100.19481  99.77475 100.14989 100.44899  99.56907 #>  [77988]  99.28746 100.23971  99.45853 100.15987 100.26964  99.91997 100.21477 #>  [77995]  99.69453  99.51382  99.79980  99.88493  99.59920 100.06998 100.14490 #>  [78002]  99.53894  99.99000  99.87492 100.00000  99.86992  99.90495 100.03000 #>  [78009] 100.18483  99.88493 100.12992  99.84488  99.69955 100.34939  99.69955 #>  [78016]  99.78978  99.74969  99.80982  99.91496 100.16986 100.04999  99.84989 #>  [78023]  99.88493 100.05498  99.90495  99.31264  99.64437  99.99000 100.06498 #>  [78030] 100.26465  99.73966  99.92998  99.97000 100.64293 100.11993  99.94498 #>  [78037] 100.04499 100.03499  99.99000 100.03000  99.79980 100.12992  99.73966 #>  [78044]  99.86491  99.48367  99.86992  99.55903  99.95999  99.85990  99.30760 #>  [78051] 100.16486  99.76472 100.23971 100.08496  99.71961 100.32946 100.45895 #>  [78058] 100.03999  99.86992 100.12492  99.70958 100.17485 100.18483  99.99500 #>  [78065] 100.21976  99.53391  99.61928 100.10494  99.94999 100.50373 100.14989 #>  [78072] 100.05998  99.96499 100.12492  99.49372  99.94498  99.65942 100.13990 #>  [78079]  99.63433  99.78978  99.84488  99.40825 100.06998  99.63433 100.11993 #>  [78086] 100.03000  99.68450 100.14989  99.78477  99.68450  99.81984  99.90996 #>  [78093] 100.38924 100.10494 100.42908 100.45895  99.88994 100.66280  99.95999 #>  [78100] 100.22475 100.07997 100.32946 100.15987 100.04999  99.63433 100.08996 #>  [78107]  99.99000  99.95499  99.56405 100.60815  99.88994  99.47361  99.61928 #>  [78114] 100.56341 100.30454 100.01000  99.61928 100.28460  99.60422  99.30760 #>  [78121]  99.43842  99.48869  99.56907 100.34441 100.29955 100.06998 100.07997 #>  [78128]  99.48869 100.06998  99.91496 100.08496  99.95999  99.94999 100.21477 #>  [78135]  99.58414  99.28243  99.71961 100.12992  99.74969 100.37430  99.69453 #>  [78142]  99.92497  99.95999  99.67949  99.81483 100.27961  99.76973  99.48367 #>  [78149]  99.92497 100.07997  99.86992 100.08496 100.34939  99.48367 100.30454 #>  [78156]  99.75971 100.51368 100.25966  99.37303  99.79980 100.09495 100.15488 #>  [78163]  99.81984  99.62429  99.58916 100.42908 100.02500 100.40418  99.53894 #>  [78170] 100.09995 100.26465 100.61312 100.24470 100.01500 100.43406  99.94999 #>  [78177] 100.03499  99.92497  99.31264  99.80481 100.19481  99.70958 100.22974 #>  [78184]  99.78978 100.11493  99.64939 100.05498  99.76973 100.25468 100.22475 #>  [78191] 100.63797 100.25468  99.73966 100.02000  99.74467 100.30952 100.43904 #>  [78198] 100.04499 100.32447  99.30257 100.11993 100.21477 100.23971  99.96499 #>  [78205] 100.18483 100.22475 100.22475 100.03999  99.79479  99.79980  99.56405 #>  [78212] 100.23472  99.92497 100.51368  99.78978 100.47388 100.35935 100.27961 #>  [78219]  99.99500  99.73966 100.16986 100.02500 100.11993  99.77976 100.27961 #>  [78226] 100.43406 100.18982 100.14989  99.73966  99.83486  99.66444 100.28958 #>  [78233]  99.72462 100.22974 100.04499  99.94999  99.96499 100.18483 100.38924 #>  [78240]  99.98500  99.50879  99.76472  99.70456  99.52387 100.18982 100.17485 #>  [78247] 100.25966 100.42908  99.66444  99.83987  99.86992 100.32447  99.72963 #>  [78254] 100.11493  99.67949  99.95999  99.69955 100.20479 100.43406 100.38924 #>  [78261]  99.41328  99.82986 100.07997  99.87492  99.68450  99.78978  99.96499 #>  [78268] 100.36434  99.94999 100.30952 100.08996 100.31949  99.78477 100.19980 #>  [78275]  99.76472  99.91997  99.79980  99.49874  99.62931 100.23971  99.86491 #>  [78282] 100.01500 100.07997 100.31451  99.86491 100.20978  99.40322  99.56405 #>  [78289] 100.38924  99.88493  99.95999  99.68952  99.74969  99.93998 100.30454 #>  [78296]  99.70958 100.13491 100.32447  99.86992 100.17984  99.78477  99.65942 #>  [78303] 100.35437  99.79980 100.43406  99.75470 100.05498  99.96499  99.83987 #>  [78310] 100.38426 100.09995  99.73465  99.37303  99.74969 100.18982  99.90495 #>  [78317] 100.41912 100.06998 100.10494 100.16486 100.20978  99.98500  99.91997 #>  [78324]  99.58916  99.98000 100.01000 100.34441  99.96499 100.22475 100.17485 #>  [78331]  99.90996  99.26228 100.04499  99.59418  99.53391  99.78477 100.28958 #>  [78338]  99.73966  99.85489 100.25966 100.15987  99.72462 100.31451  99.86992 #>  [78345] 100.06998  99.81483  99.69453 100.14989  99.46859  99.54898  99.88994 #>  [78352] 100.46890 100.03499 100.39422 100.62803  99.90495  99.68952  99.28243 #>  [78359]  99.71961  99.59920 100.10994 100.01000  99.99000  99.52889 100.13990 #>  [78366]  99.72963 100.13491 100.08996  99.67447 100.31949  99.83987 100.01000 #>  [78373] 100.40418  99.87492  99.69453 100.07497 100.41912  99.76973  99.82986 #>  [78380] 100.17984 100.31949  99.88994  99.67447  99.49874  99.95999 100.14989 #>  [78387] 100.07997 100.21477 100.26964 100.55844  99.17157 100.34939 100.21976 #>  [78394]  99.85489 100.32946 100.34939 100.02000 100.16486  99.69955  99.98000 #>  [78401]  99.60422 100.10494  99.60924  99.76973  99.86491  99.53391 100.29457 #>  [78408] 100.18483 100.42410 100.03999 100.45895  99.68450  99.89995  99.86491 #>  [78415]  99.66444 100.10494  99.56907 100.26465  99.64437 100.24969  99.86992 #>  [78422] 100.29457  99.81483  99.86992 100.20978  99.66444 100.06998 100.23472 #>  [78429] 100.02000  99.74467  99.89995 100.17485 100.11993 100.12992 100.15987 #>  [78436] 100.17485  99.73966 100.07497  99.46356  99.91997  99.59920 100.32946 #>  [78443]  99.76472  99.65440 100.11493 100.02500 100.23472  99.92998 100.60815 #>  [78450]  99.65942  99.93998  99.98000  99.61426 100.06498 100.05498 100.14490 #>  [78457]  99.71961  99.69955 100.22974 100.14490  99.55401  99.89995 100.76210 #>  [78464] 100.06998 100.45895  99.76973 100.50871  99.99000  99.75971  99.82485 #>  [78471]  99.56907  99.58414  99.85489  99.78978  99.71961 100.22475 100.49378 #>  [78478] 100.23971  99.93998 100.01000  99.89995  99.69453 100.12992  99.62429 #>  [78485]  99.65942 100.20978  99.64939 100.27961 100.17984 100.15987  99.90495 #>  [78492]  99.38310 100.09995 100.14490  99.94999  99.65942  99.72462  99.71459 #>  [78499]  99.75971 100.38924 100.08496  99.97500 100.34441  99.98500  99.73966 #>  [78506]  99.70456  99.67447 100.14989 100.57833  99.99000  99.54396  99.47361 #>  [78513] 100.22475 100.29457  99.83987 100.69757 100.09995  99.75971 100.28958 #>  [78520] 100.04499 100.00000  99.94498 100.24470 100.31451 100.85138  99.48869 #>  [78527]  99.76472  99.80481 100.08996 100.32447  99.77475  99.72963 100.37928 #>  [78534]  99.49372  99.88994 100.02000 100.00000  99.94498 100.06498 100.02500 #>  [78541]  99.92998 100.04499  99.78978 100.00500 100.32946  99.46356  99.78477 #>  [78548]  99.47361  99.69453  99.92998 100.25966 100.23971  99.91997  99.89494 #>  [78555] 100.20978 100.80675 100.46392  99.53391 100.01000  99.77976  99.95499 #>  [78562]  99.93498  99.57911 100.06998 100.41912  99.55903  99.56907 100.07497 #>  [78569]  99.83987 100.43904 100.37928  99.62429 100.02000  99.49874 100.06498 #>  [78576] 100.51368 100.40418  99.99500  99.79980 100.11493 100.16986 100.30454 #>  [78583] 100.37430  99.79980  99.84989  99.83486 100.04999 100.08996 100.41414 #>  [78590]  99.56907  99.57911  99.95499  99.55903 100.33444  99.92998 100.17984 #>  [78597]  99.85489  99.66945 100.05998 100.14989 100.32447  99.87492 100.13990 #>  [78604]  99.79479  99.78978 100.12992 100.31451  99.71459  99.61426  99.55401 #>  [78611] 100.15488 100.19481  99.62931 100.58827 100.31949 100.32447  99.97000 #>  [78618]  99.86992  99.90996 100.08996  99.81483 100.05998 100.30454  99.93498 #>  [78625]  99.90996 100.14490 100.01500  99.88994 100.05998  99.79980  99.84488 #>  [78632]  99.82986  99.98500 100.70750  99.88493 100.23971 100.64293 100.24470 #>  [78639] 100.34939  99.79980 100.21976  99.48367  99.69955  99.85489  99.63935 #>  [78646] 100.17984 100.34939 100.40418 100.11993 100.25966  99.88994  99.92497 #>  [78653]  99.99500 100.30454 100.51865  99.58414  99.91496  99.55401 100.41414 #>  [78660] 100.00000 100.02000 100.07997 100.21976  99.71961 100.02500  99.88493 #>  [78667] 100.16486  99.78477 100.03000  99.95499  99.68952 100.28460 100.11993 #>  [78674] 100.15987  99.77976 100.38426 100.35935 100.20978  99.97500 100.33942 #>  [78681]  99.78978 100.31451 100.13491 100.39422  99.85489  99.90996  99.98500 #>  [78688]  99.73966  99.51382 100.03999  99.33781  99.97000  99.98500 100.20978 #>  [78695]  99.63433 100.24470 100.02500 100.01500  99.80982 100.40418  99.84989 #>  [78702]  99.70456 100.13491 100.22974  99.54898 100.73232 100.04999  99.65942 #>  [78709]  99.84488  99.97000  99.92998  99.78477  99.92497 100.42908 100.05998 #>  [78716] 100.02000 100.01500  99.83486 100.08496  99.43339 100.20978  99.86992 #>  [78723] 100.15987 100.20978 100.11993  99.58414 100.35437  99.84989  99.73966 #>  [78730] 100.24969 100.03000 100.22475 100.26964  99.86992  99.81984 100.45397 #>  [78737]  99.89995 100.00000 100.02500  99.79980 100.50871 100.19980  99.81984 #>  [78744] 100.13990 100.12992  99.58414 100.46392  99.99000  99.46859 100.26964 #>  [78751] 100.04499  99.99500  99.80481 100.39920  99.41831  99.90495 100.35935 #>  [78758]  99.66945 100.13491  99.84989 100.16486  99.71961  99.88994  99.98500 #>  [78765] 100.15488  99.84488 100.05498 100.02000  99.72462 100.19980 100.07497 #>  [78772] 100.16486 100.13990 100.35935 100.20978  99.85489  99.20181  99.75470 #>  [78779]  99.68952 100.39422 100.46890 100.59821  99.84989  99.89494  99.91997 #>  [78786]  99.95499 100.67770  99.65942  99.92998 100.19481  99.60924  99.74467 #>  [78793] 100.69260  99.60422  99.83486  99.78978 100.04499  99.74467  99.50879 #>  [78800] 100.30952 100.09495 100.38924 100.53855 100.15488  99.68450  99.91997 #>  [78807]  99.72462 100.32946  99.79980  99.95999 100.10494  99.86992 100.06998 #>  [78814]  99.88493 100.34441 100.00500 100.62306 100.03999  99.61928 100.04999 #>  [78821] 100.04999  99.35794 100.31451 100.05498 100.50871 100.21477  99.75971 #>  [78828] 100.36434  99.78477 100.30454 100.36932  99.90495  99.83486 100.17485 #>  [78835]  99.89494 100.27462  99.48869  99.91496  99.80982 100.12992  99.84488 #>  [78842] 100.04499 100.03000 100.21976  99.49372  99.79479 100.20479  99.72462 #>  [78849]  99.64939  99.90996  99.93498 100.20479 100.08996  99.94999 100.30952 #>  [78856]  99.84488 100.19980 100.09495 100.31451 100.12992 100.12992  99.79980 #>  [78863] 100.38924 100.30952  99.53894  99.77976 100.15987  99.95499  99.68952 #>  [78870]  99.66444  99.65942  99.60422  99.84488  99.60422  99.73465 100.08496 #>  [78877]  99.99000 100.38924 100.19980 100.49876 100.26964 100.22974  99.64437 #>  [78884]  99.81984 100.00000  99.85990 100.16486 100.23472  99.77475 100.37928 #>  [78891]  99.70958 100.35437  99.95999 100.51865 100.35437 100.28460  99.92998 #>  [78898]  99.98000  99.67949  99.79980 100.20479 100.44899  99.42837  99.89494 #>  [78905] 100.72239 100.18483 100.51368 100.31949 100.25468 100.15987  99.97000 #>  [78912] 100.12492  99.90996  99.87492  99.77475  99.70958 100.23472  99.54898 #>  [78919] 100.35437  99.57409 100.14989  99.93498  99.44848 100.20978  99.98500 #>  [78926] 100.03999  99.94999 100.00500 100.01500 100.49378  99.94498  99.98000 #>  [78933]  99.66444  99.85990  99.46859  99.78477 100.03000 100.11493  99.90996 #>  [78940] 100.03000  99.48869  99.95499 100.35935 100.52363 100.01500  99.92497 #>  [78947]  99.88994 100.17485  99.53894 100.47885 100.14490  99.82485 100.17984 #>  [78954] 100.04499 100.30952  99.75470 100.22974 100.05998  99.84488  99.89494 #>  [78961]  99.64939 100.10494 100.40418 100.15488  99.90996 100.06998  99.57911 #>  [78968] 100.09995  99.86992 100.25468 100.43406 100.43406  99.81984 100.20978 #>  [78975]  99.62429  99.80481 100.26465 100.26465  99.90495 100.28958 100.45895 #>  [78982]  99.86992  99.58414  99.99500 100.30454 100.37430 100.07497  99.83987 #>  [78989] 100.33942 100.03000 100.32447  99.95999  99.90996  99.83486 100.15987 #>  [78996]  99.61426 100.13990 100.02500  99.97500  99.42837 100.20479  99.88493 #>  [79003]  99.68450 100.13491 100.08496 100.02000 100.13491 100.05998 100.33444 #>  [79010] 100.45397 100.49378 100.09495 100.15987 100.22475 100.18483  99.86992 #>  [79017]  99.80982 100.38426 100.34939  99.86992  99.73465 100.04499  99.68450 #>  [79024]  99.38813  99.70958 100.02500  99.61426  99.91997 100.11993  99.88994 #>  [79031] 100.04999 100.49876  99.86992  99.81984 100.09495 100.05998  99.91496 #>  [79038] 100.52860 100.46392 100.27961  99.63433 100.11993 100.00500 100.19980 #>  [79045]  99.64939  99.90996 100.21477  99.90996  99.81984 100.39920 100.10994 #>  [79052] 100.38426  99.60924  99.68952  99.58414 100.14989 100.13990 100.25966 #>  [79059]  99.95999 100.33942  99.59920 100.11993  99.99000  99.44848  99.57409 #>  [79066] 100.25468  99.83486  99.93998 100.20978  99.69453  99.90495 100.48383 #>  [79073]  99.72462  99.59920  99.69955 100.03499 100.23971 100.19481 100.24969 #>  [79080]  99.93998 100.01000 100.07497 100.22974 100.53855 100.15488  99.95999 #>  [79087]  99.99000  99.50377 100.00000 100.02500  99.77976  99.99000  99.35794 #>  [79094]  99.83987  99.65440  99.74969  99.76973 100.03000  99.84989  99.66444 #>  [79101] 100.07997  99.73465 100.29955  99.80481  99.65440 100.28460 100.28460 #>  [79108]  99.78978  99.63935 100.05498  99.82986  99.78477  99.90495  99.96499 #>  [79115] 100.24969  99.65942  99.95999 100.23472  99.90996 100.01000 100.17984 #>  [79122]  99.85489 100.22974 100.50373 100.09995  99.74969 100.03999  99.91997 #>  [79129]  99.79980  99.59920 100.42410 100.09495 100.34939  99.60924  99.99500 #>  [79136] 100.41414 100.06498  99.79980  99.48869  99.51382 100.29955  99.97000 #>  [79143]  99.68952  99.98500  99.45351  99.44345  99.77475  99.70958  99.92497 #>  [79150]  99.90996  99.77475  99.85489  99.98500  99.91496  99.89995 100.21976 #>  [79157]  99.63935 100.12992 100.11993 100.20479  99.80982  99.88994 100.35935 #>  [79164] 100.17984  99.59418 100.00500 100.15987 100.18982  99.82986 100.21976 #>  [79171]  99.81483 100.17485 100.23971 100.42908 100.59821  99.85990  99.86491 #>  [79178]  99.61928 100.03499  99.91997  99.88493 100.16486 100.43904  99.98500 #>  [79185] 100.09495  99.88493 100.03000 100.07997  99.59418 100.31451  99.73966 #>  [79192]  99.92497 100.15488 100.17984  99.97500  99.67447 100.40916  99.36297 #>  [79199]  99.85489  99.96499  99.69955 100.05998  99.86992  99.63935  99.85489 #>  [79206] 100.51368 100.69260 100.17485  99.87492 100.15488 100.02000 100.11493 #>  [79213]  99.76973  99.59920 100.74225 100.34939 100.25468 100.18483 100.37430 #>  [79220] 100.11493 100.04499  99.25724 100.05998  99.56405 100.26964  99.99000 #>  [79227]  99.75971  99.94999  99.95499  99.71961 100.11493  99.86491  99.67447 #>  [79234] 100.07997  99.64437  99.90996  99.94999 100.09995 100.27462  99.64437 #>  [79241] 100.01000  99.49874  99.61928 100.09995 100.18982 100.00500 100.27462 #>  [79248]  99.93498  99.78477 100.17485 100.06498  99.72462  99.93998  99.87993 #>  [79255]  99.94999 100.47885  99.54396  99.82986 100.11993  99.89494 100.17984 #>  [79262]  99.97000 100.38426 100.23472 100.26964 100.03000  99.97500  99.89995 #>  [79269] 100.67770  99.52387  99.82986 100.14490  99.84989  99.83987 100.11493 #>  [79276]  99.88994  99.76472 100.03499  99.90495  99.70958 100.42908  99.98500 #>  [79283] 100.15987  99.86491 100.05998  99.85489 100.31949 100.25966  99.46356 #>  [79290]  99.83987 100.19980 100.06998  99.79479 100.35935  99.61928  99.78477 #>  [79297]  99.92998 100.13491  99.94498  99.96499  99.79479 100.09495 100.27961 #>  [79304] 100.03000  99.42837 100.11993 100.24969  99.79980  99.79479 100.07997 #>  [79311]  99.92998 100.35437  99.88493 100.06998  99.92497 100.12992  99.80481 #>  [79318]  99.72462 100.04499  99.37807  99.70958  99.96499 100.09995  99.84989 #>  [79325] 100.02000 100.18483 100.47388  99.73966  99.99000  99.68450 100.10494 #>  [79332]  99.39819 100.09495 100.62306 100.03499 100.05498 100.31451  99.78978 #>  [79339] 100.13491  99.33781  99.75971 100.02500  99.84488 100.02500 100.25468 #>  [79346]  99.98000 100.09995 100.01000 100.16486 100.29955  99.72462 100.06998 #>  [79353] 100.21976 100.66280  99.98000 100.56838 100.35935 100.71246  99.82986 #>  [79360]  99.37303  99.29753  99.69453 100.04999 100.15488 100.20978 100.07497 #>  [79367]  99.79479 100.52363  99.83486  99.82986 100.02500  99.99000  99.90996 #>  [79374] 100.09995 100.34441  99.91496  99.84989  99.96499 100.20978  99.65440 #>  [79381] 100.27961  99.87993  99.77475  99.63433  99.75470 100.32447 100.40916 #>  [79388] 100.42908 100.22475 100.53358 100.61809  99.63935  99.49372  99.54396 #>  [79395] 100.12992 100.34939 100.21477  99.74969  99.68952  99.87993 100.27462 #>  [79402]  99.89995 100.61809  99.70456 100.64293  99.45351 100.48383  99.51382 #>  [79409] 100.33444 100.42908  99.95499  99.97000 100.17984  99.88493  99.91997 #>  [79416] 100.37928 100.47885 100.07997 100.15488  99.80982  99.69955  99.79479 #>  [79423]  99.67447  99.79479 100.57833  99.65942  99.93498  99.28746  99.82986 #>  [79430]  99.61928 100.28460 100.16986 100.05498  99.84989 100.04499  99.76472 #>  [79437]  99.91997  99.78978 100.32447  99.46859 100.44899 100.01000 100.05998 #>  [79444]  99.66945  99.98000 100.19980  99.46356  99.87993 100.12492 100.36932 #>  [79451] 100.25966  99.46356  99.68952 100.20479  99.97500  99.60924  99.60422 #>  [79458] 100.03000 100.13491 100.09495 100.11993  99.66444  99.73966 100.55844 #>  [79465] 100.52860 100.53358  99.99500 100.10494  99.96499  99.78978 100.13491 #>  [79472]  99.78978  99.64939 100.21477 100.21477  99.48869  99.95999 100.03999 #>  [79479] 100.27462  99.74467  99.78477 100.06998 100.18483  99.77475 100.09495 #>  [79486]  99.76472  99.83486  99.94999  99.97500 100.42908  99.90495 100.13990 #>  [79493] 100.15987 100.26964  99.99000 100.03000 100.33444 100.22475 100.53855 #>  [79500] 100.03999 100.06998  99.93998  99.99500  99.51884  99.89995  99.76973 #>  [79507]  99.94498  99.33277  99.53391 100.26465 100.08496  99.74467  99.90996 #>  [79514]  99.96499  99.67447  99.97500 100.50871  99.70456  99.79479  99.52889 #>  [79521] 100.04499  99.80982 100.38924  99.82986 100.41912  99.74467 100.10494 #>  [79528] 100.14989 100.11493  99.59920  99.62429 100.20978  99.56405 100.08496 #>  [79535] 100.45397 100.79683  99.77475  99.63935 100.06498 100.25966 100.33444 #>  [79542] 100.26465 100.32946  99.84488 100.04499  99.66945  99.85990  99.60422 #>  [79549]  99.90996  99.80481  99.81483 100.10494 100.35437  99.68450 100.25966 #>  [79556] 100.03999  99.95499 100.04999 100.16486  99.98000 100.31451  99.86491 #>  [79563] 100.24969  99.55401  99.66945 100.02000 100.37928  99.89995  99.71459 #>  [79570] 100.00000  99.57911 100.49876 100.13990  99.74467  99.53894  99.76973 #>  [79577] 100.23971  99.41328 100.30454  99.58414 100.29955 100.04499 100.41414 #>  [79584] 100.18982 100.40916  99.66444  99.98500 100.11493  99.78477  99.85489 #>  [79591]  99.68952 100.09495  99.71961  99.88493 100.10994 100.12992 100.18483 #>  [79598] 100.30952 100.45895 100.46890  99.55401  99.56405 100.06998 100.01500 #>  [79605] 100.15987  99.87492  99.85990  99.73966 100.03000  99.50377 100.06498 #>  [79612] 100.04499  99.79980  99.66444 100.04999  99.84989 100.09995  99.42837 #>  [79619] 100.27462  99.99500 100.04499  99.51382 100.18483 100.00500 100.07497 #>  [79626]  99.97000 100.21477  99.38310 100.10994 100.41414 100.00000  99.87993 #>  [79633] 100.26465 100.33942 100.07497 100.42908 100.18483  99.78477  99.40322 #>  [79640]  99.94498 100.41912 100.51368  99.84488 100.29457  99.74969  99.77475 #>  [79647] 100.15987 100.68764 100.09995  99.47361 100.05498  99.65942  99.78477 #>  [79654] 100.32447 100.18982 100.66280  99.95999 100.22974  99.89494  99.78477 #>  [79661]  99.78978  99.36297 100.05998 100.02500  99.91997 100.07997  99.86491 #>  [79668]  99.66444 100.07997  99.43842  99.82986  99.55903 100.52363  99.92497 #>  [79675] 100.57833 100.09995 100.33444  99.95999  99.64437  99.94999  99.83987 #>  [79682] 100.06998 100.42410  99.97500  99.78477 100.50871 100.10494  99.52889 #>  [79689]  99.81984 100.47388  99.58414 100.39920  99.57911  99.85990  99.74467 #>  [79696] 100.30454 100.27462 100.52860 100.28460 100.14490 100.50373 100.17485 #>  [79703]  99.65942  99.87993  99.58414  99.70958  99.70958  99.79980  99.82986 #>  [79710]  99.13123 100.23472 100.16486 100.22974 100.00500 100.17485 100.21477 #>  [79717] 100.33942 100.29457  99.45351 100.01000  99.73465  99.89494 100.03000 #>  [79724] 100.05498 100.14490  99.86491 100.40916  99.89494  99.85990  99.75971 #>  [79731] 100.03499  99.89995  99.88493 100.24969  99.74969  99.84989  99.99500 #>  [79738]  99.79980  99.94498  99.81984 100.55844  99.87993 100.41912  99.91496 #>  [79745] 100.49378  99.57911 100.34939  99.66444  99.47864 100.58827  99.83486 #>  [79752]  99.97500 100.02500 100.50871 100.04499  99.83486 100.28958  99.77976 #>  [79759] 100.42410 100.13491 100.58330  99.96499 100.23472 100.14490  99.70958 #>  [79766] 100.26964  99.91997  99.83987 100.01000  99.54396  99.69955 100.26465 #>  [79773] 100.29955  99.91997  99.84488 100.15488  99.97000  99.43339  99.77976 #>  [79780] 100.06998 100.51368 100.00500 100.00500  99.82986 100.60318  99.89494 #>  [79787] 100.12492  99.65440  99.73465  99.79980  99.52387  99.82485  99.56907 #>  [79794]  99.45351 100.36932  99.66444 100.36434 100.10994 100.25468 100.22974 #>  [79801] 100.32946 100.17485 100.49378 100.03000 100.23472 100.28958  99.63935 #>  [79808] 100.22475  99.88493  99.59920 100.04999 100.26964 100.13491  99.99500 #>  [79815] 100.06498 100.02000  99.34284 100.26465  99.63433 100.18483  99.99000 #>  [79822] 100.16486  99.56907 100.00500 100.23472 100.08996 100.07997  99.73465 #>  [79829]  99.58414  99.58414 100.41912 100.32946 100.14490  99.96499 100.09995 #>  [79836] 100.27462  99.84488 100.41912 100.01000  99.46356  99.73966  99.80982 #>  [79843] 100.04999  99.97000 100.03000 100.17984 100.19980 100.68267 100.30454 #>  [79850]  99.85990  99.63433  99.68450  99.89995  99.60422  99.87492 100.36434 #>  [79857]  99.60422  99.78477  99.83987 100.23971  99.91496  99.24213 100.41414 #>  [79864]  99.96499 100.03499  99.89995  99.53391 100.22475 100.18483  99.70958 #>  [79871]  99.85489  99.89494  99.80982  99.73966 100.08496  99.47864  99.70958 #>  [79878]  99.79479 100.42410 100.24969 100.30454  99.73966 100.06998 100.25966 #>  [79885] 100.21477 100.58330 100.24969 100.14989 100.01500  99.62931  99.81984 #>  [79892] 100.43904 100.05498 100.47388 100.04499  99.48869  99.79479  99.46356 #>  [79899] 100.42410  99.95999  99.76973 100.21976  99.87492  99.63935  99.66945 #>  [79906] 100.03499  99.69453  99.52387  99.87492  99.54898 100.45397  99.92497 #>  [79913]  99.60422  99.53894 100.17485  99.39819  99.62429  99.69955  99.63935 #>  [79920] 100.08996 100.39920 100.38426 100.08496 100.25966  99.44848 100.24969 #>  [79927] 100.12492  99.98000 100.68764 100.30952 100.07497 100.18483  99.79479 #>  [79934] 100.13990 100.07497  99.81984 100.07997 100.42908 100.04499 100.30454 #>  [79941]  99.56405  99.40322  99.99000 100.01500 100.35935 100.06998  99.69453 #>  [79948]  99.96499  99.95999  99.36297 100.22475 100.49378 100.24470 100.39422 #>  [79955]  99.74969  99.49372 100.54850 100.06998  99.97500 100.16486 100.01500 #>  [79962]  99.77976 100.12992  99.45351  99.84989 100.10494 100.14989 100.57336 #>  [79969] 100.32447  99.78477  99.45853  99.72963 100.24470 100.22475 100.34939 #>  [79976]  99.92998 100.60318 100.26964  99.89995  99.64939  99.68450  99.74969 #>  [79983] 100.42908 100.02500  99.97000  99.75470  99.47864 100.22974 100.37430 #>  [79990] 100.31451 100.13491 100.33942 100.07497  99.50879 100.74225  99.85489 #>  [79997]  99.99500 100.03999  99.91496 100.21477 100.12492 100.17485  99.89995 #>  [80004] 100.05998  99.93498 100.14989  99.55903 100.28958 100.17984 100.25966 #>  [80011]  99.83987 100.04999  99.88493 100.42410 100.25966  99.98500  99.82986 #>  [80018] 100.08496  99.88493 100.05998  99.75470 100.26465 100.44899  99.64939 #>  [80025]  99.79980  99.91997 100.09995  99.76472 100.02000  99.93998  99.71961 #>  [80032]  99.70958  99.85489  99.86491 100.49378 100.51368 100.22475  99.44345 #>  [80039]  99.92998 100.10494  99.58916 100.27961  99.74467  99.88493 100.15488 #>  [80046]  99.70456  99.92497  99.88994 100.29955 100.20479 100.16486  99.91496 #>  [80053]  99.43339  99.28243 100.22475 100.16486 100.23971  99.54898  99.61928 #>  [80060] 100.06498 100.09995 100.22974  99.76472  99.86992 100.03999  99.22701 #>  [80067]  99.89995 100.44899 100.11993 100.00000  99.81984 100.13491  99.68450 #>  [80074] 100.03999 100.20978 100.19481 100.24470  99.68952 100.29457  99.87492 #>  [80081]  99.40322 100.24969  99.83987  99.93998  99.89494  99.97000 100.08996 #>  [80088]  99.67949  99.78477 100.00500  99.90996  99.91997 100.04499 100.44401 #>  [80095] 100.10994 100.01000 100.16486  99.59418 100.37928  99.93498 100.09995 #>  [80102] 100.24969 100.16986  99.66945 100.43406 100.39920  99.85489 100.49378 #>  [80109]  99.89494  99.95999 100.24470  99.99500 100.41414  99.99500 100.01000 #>  [80116] 100.18483 100.05998 100.02000 100.48383  99.87492  99.50377 100.20978 #>  [80123]  99.75470  99.75470  99.90996 100.23472  99.85990 100.04999 100.10994 #>  [80130]  99.93498 100.13491 100.17485 100.11493  99.92497  99.88994  99.87492 #>  [80137]  99.68952 100.29955  99.54898 100.00500  99.59920  99.88994 100.37430 #>  [80144] 100.16486 100.36434  99.79479 100.24470  99.77475  99.83987  99.70958 #>  [80151]  99.72963  99.57911 100.13990 100.21477 100.33444 100.35935  99.80982 #>  [80158]  99.89494 100.05498 100.21477  99.74969 100.15488  99.44848 100.18483 #>  [80165]  99.89494  99.92998  99.76472  99.61426 100.05998  99.96499 100.10994 #>  [80172] 100.44899 100.00000 100.07497 100.13990 100.13990  99.64939 100.14490 #>  [80179]  99.68450  99.83987  99.92998  99.90495  99.85990 100.15987 100.08996 #>  [80186]  99.26732 100.56341  99.92998 100.07997 100.11993  99.68952  99.75971 #>  [80193] 100.17984 100.02500  99.92998  99.54898  99.86491  99.54898  99.75470 #>  [80200]  99.76472  99.88493 100.25468 100.00000  99.78978  99.83987 100.11993 #>  [80207] 100.08496 100.58330 100.01000 100.24969 100.32946  99.87993 100.13491 #>  [80214] 100.33444  99.95999 100.03000  99.85489 100.17485 100.33942 100.35437 #>  [80221] 100.06998 100.22475  99.96499  99.59920 100.05498 100.17984 100.65784 #>  [80228] 100.03000 100.16486  99.51884 100.23472 100.42908  99.80481  99.85489 #>  [80235]  99.76973 100.20479 100.24470  99.80982 100.27462 100.07997  99.83987 #>  [80242] 100.00500  99.63433 100.37430 100.10994  99.42837  99.98500 100.21477 #>  [80249] 100.11993  99.62931 100.51368 100.12992  99.81984 100.37430 100.04499 #>  [80256] 100.19980 100.10494 100.04499  99.84488  99.83486  99.93998 100.34441 #>  [80263] 100.21477 100.17485 100.37928  99.78477 100.35437  99.56907 100.10994 #>  [80270] 100.02500  99.99500 100.09995 100.23472 100.25966 100.12992 100.32946 #>  [80277]  99.72963  99.81483  99.80481 100.11993 100.02500 100.50871 100.22475 #>  [80284] 100.50871 100.07497  99.59418 100.06498 100.11993 100.32946 100.24969 #>  [80291]  99.74969  99.64939 100.14490  99.84989 100.12492  99.93498  99.98000 #>  [80298] 100.00000 100.24969 100.27462 100.27961 100.02000  99.86491  99.85990 #>  [80305] 100.06998  99.76973 100.06998 100.48383  99.86491 100.48383  99.68450 #>  [80312]  99.74467  99.83987  99.87993  99.98000  99.56907  99.91496  99.76973 #>  [80319] 100.50871 100.33444  99.83486 100.67770  99.61928  99.93998  99.66444 #>  [80326] 100.08996 100.33942  99.48869  99.54396 100.09495 100.14989 100.37430 #>  [80333] 100.14989  99.92998  99.79479 100.22475 100.26964  99.80982 100.50871 #>  [80340]  99.94498 100.37430  99.72963  99.79980  99.74969  99.94498  99.78978 #>  [80347] 100.13491 100.37928 100.09495 100.31949  99.60924  99.53894 100.04499 #>  [80354] 100.23971  99.93998 100.17485 100.47388  99.46859  99.64939  99.74467 #>  [80361] 100.33942 100.28958  99.95499  99.90996 100.00000  99.69955 100.41414 #>  [80368]  99.97000 100.08496  99.52387  99.94498  99.93998 100.16486 100.58330 #>  [80375] 100.01000  99.99000 100.48383  99.80481  99.91496 100.18483 100.02500 #>  [80382] 100.04499 100.13491 100.27961 100.04999 100.27961  99.73465  99.63935 #>  [80389]  99.92998 100.21477  99.97000 100.20479  99.95499  99.85489  99.93498 #>  [80396]  99.61426  99.84488  99.44345 100.20978 100.14989 100.02000  99.82485 #>  [80403]  99.92998 100.12992 100.26964 100.45895  99.94999  99.61928  99.78978 #>  [80410]  99.11609 100.33444  99.93998 100.24470  99.90495  99.98500 100.30454 #>  [80417] 100.37430 100.17984 100.31949  99.73966 100.20978  99.73465  99.66945 #>  [80424] 100.13491  99.97000  99.40322 100.06498  99.80982 100.51368  99.92998 #>  [80431] 100.49876 100.31949 100.12992 100.33444 100.09495 100.21477 100.00000 #>  [80438]  99.66444  99.83987  99.88493 100.26465 100.26465  99.76973  99.99000 #>  [80445] 100.19481 100.18483  99.91997  99.48869  99.55903  99.56907  99.82986 #>  [80452]  99.84989  99.60924  99.72462 100.17984  99.86992  99.97000  99.50879 #>  [80459]  99.80481 100.32946  99.87492 100.20978  99.75470 100.24969  99.52387 #>  [80466] 100.06998  99.71459  99.86992 100.17984 100.38924  99.30257  99.99500 #>  [80473] 100.03999  99.89494  99.86992 100.03999 100.06498 100.29955  99.87993 #>  [80480] 100.15987 100.65287  99.68450 100.58330 100.05498 100.08996  99.83987 #>  [80487] 100.30454 100.33444  99.74467 100.32946  99.49372 100.36434 100.13491 #>  [80494]  99.63433 100.10494  99.72462 100.45397  99.99000 100.75217  99.74969 #>  [80501]  99.92497 100.39422  99.90495  99.91496  99.91997 100.10994  99.45351 #>  [80508]  99.68450  99.38310 100.26465  99.84989 100.22974 100.25966  99.89995 #>  [80515] 100.31949 100.10994 100.11993 100.07997 100.06498  99.82986  99.21693 #>  [80522] 100.00500 100.32447 100.18982  99.53391 100.18483 100.54352 100.30454 #>  [80529]  99.78978 100.06998 100.31949 100.37928 100.59324 100.44401 100.48881 #>  [80536] 100.09995 100.04999 100.03000 100.30952 100.08996  99.54898  99.64437 #>  [80543]  99.68450 100.35935  99.75971 100.14989 100.40418 100.08496  99.65942 #>  [80550]  99.87993 100.09995  99.77475  99.65440  99.86491  99.91997 100.25468 #>  [80557]  99.81984 100.42410  99.87993  99.89494  99.44848 100.69757 100.31949 #>  [80564]  99.35291 100.14989  99.62429  99.51382  99.21693 100.23971 100.41414 #>  [80571] 100.22974 100.20479 100.08496 100.07497 100.48881  99.67949 100.13491 #>  [80578] 100.05498  99.67447  99.84989 100.00500 100.38924 100.60318  99.72462 #>  [80585]  99.68450 100.48383 100.41912  99.99500 100.15987  99.57409  99.73465 #>  [80592]  99.87993  99.77976  99.98000 100.30454  99.55903  99.11609 100.16486 #>  [80599]  99.46859 100.26465  99.75971 100.42908  99.91496  99.81984  99.93498 #>  [80606] 100.18483 100.26465 100.09995 100.24969  99.78477 100.31949 100.11493 #>  [80613]  99.92497 100.15488 100.15488 100.14490 100.09995  99.85990 100.43406 #>  [80620] 100.17984  99.70456 100.00500  99.68450 100.07497 100.37928  99.49372 #>  [80627] 100.32447  99.77976 100.19481 100.56838  99.45853  99.75470  99.87993 #>  [80634]  99.42334  99.83987 100.22475  99.84488  99.90996 100.11993 100.16986 #>  [80641] 100.01000 100.08496  99.60422 100.05998 100.31451  99.69453  99.82986 #>  [80648]  99.79980 100.45895 100.05498  99.53894  99.78978 100.20479  99.78477 #>  [80655]  99.78477  99.86491 100.34441 100.03000 100.29457 100.20978  99.91496 #>  [80662] 100.02500 100.19980 100.26465 100.21976  99.74467  99.80982 100.14490 #>  [80669] 100.29955  99.59418  99.64939  99.83987 100.36932  99.74467 100.34441 #>  [80676] 100.09995  99.83987  99.91496 100.41912  99.39819 100.27462 100.21477 #>  [80683]  99.80982 100.03000  99.95499  99.00000 100.57833 100.03499  99.94999 #>  [80690] 100.02000 100.29955 100.37928  99.92998  99.88994  99.98000  99.54396 #>  [80697]  99.77475  99.45853 100.01000  99.92998 100.84642 100.06998 100.02000 #>  [80704] 100.18483  99.90495 100.09995  99.89995  99.91997 100.31451  99.88493 #>  [80711]  99.87492  99.88994  99.59920  99.99000 100.03499 100.16986 100.84146 #>  [80718]  99.72462 100.52363  99.88493  99.94498  99.72963 100.06498  99.95499 #>  [80725] 100.32946 100.73232 100.53855 100.01000  99.60924  99.92998 100.18483 #>  [80732]  99.88493  99.87492 100.17984 100.31949 100.52363 100.30952  99.68952 #>  [80739]  99.66444 100.18483  99.92998 100.16986  99.91997  99.64437  99.46356 #>  [80746] 100.05998  99.98000  99.72462  99.65440 100.17984  99.59920 100.65287 #>  [80753]  99.96499 100.44899 100.05498  99.96499  99.88994 100.07497 100.29955 #>  [80760]  99.95999 100.05998 100.04999  99.67949  99.90996  99.63935  99.53894 #>  [80767]  99.51884  99.82986  99.88994 100.11493 100.20479  99.80982  99.98500 #>  [80774] 100.30952 100.07497 100.20978  99.50879 100.35935  99.99500  99.84989 #>  [80781] 100.00000 100.68267 100.05498 100.11993  99.74969  99.51382 100.23971 #>  [80788] 100.37928 100.08996 100.12992 100.14989  99.61928 100.13491 100.32447 #>  [80795] 100.21976  99.95999 100.23971  99.58414 100.03499 100.21976 100.31949 #>  [80802]  99.94498  99.65942  99.77976 100.36932 100.01500  99.55903 100.16986 #>  [80809]  99.82986 100.10494 100.17485  99.85990 100.13491  99.79479 100.10494 #>  [80816]  99.50879 100.20978  99.75971  99.84989  99.97500 100.32447  99.73465 #>  [80823] 100.09495 100.15488 100.72735  99.84989  99.83486  99.87993  99.88493 #>  [80830] 100.38924 100.26964 100.33942 100.21976 100.34441  99.71961  99.53894 #>  [80837] 100.10494  99.78477  99.57409 100.27961  99.75971  99.99000  99.53391 #>  [80844] 100.24969  99.93998 100.21976 100.31949  99.90996  99.66444  99.83486 #>  [80851] 100.60815 100.43904 100.18982 100.21477  99.68450  99.86992  99.73966 #>  [80858]  99.82485 100.40916  99.42334  99.62429  99.79479  99.75470  99.90495 #>  [80865] 100.17485 100.15987 100.04999 100.03999 100.07497 100.35935  99.61426 #>  [80872]  99.59418  99.72462  99.76472 100.00500  99.69955  99.93498  99.90495 #>  [80879] 100.33444 100.22974  99.79479 100.45895  99.91496  99.42334  99.47361 #>  [80886] 100.14490  99.74969 100.30454  99.58414 100.67770 100.12492  99.93998 #>  [80893]  99.75470 100.36932  99.63935 100.33942 100.14989 100.61809  99.83987 #>  [80900]  99.55903 100.16986  99.71459 100.40418  99.91496 100.36434  99.89995 #>  [80907] 100.06498 100.34441 100.35437 100.09995  99.75971  99.80481  99.85489 #>  [80914] 100.45895 100.37928  99.84488  99.74467 100.43406 100.16486 100.17984 #>  [80921] 100.40916 100.31949 100.15987  99.84488 100.21976 100.28958  99.59920 #>  [80928]  99.86491  99.77475  99.93498  99.81483 100.08996  99.94498  99.60924 #>  [80935] 100.28958 100.45397  99.82986 100.07997 100.27462 100.52860  99.44848 #>  [80942] 100.36434 100.35935  99.75971  99.84488  99.52889 100.25468 100.06498 #>  [80949] 100.05998 100.21976 100.26964  99.99500  99.74467  99.71961  99.78978 #>  [80956]  99.95499 100.01500  99.84488  99.57911  99.72462  99.92998 100.24470 #>  [80963] 100.04999 100.03000  99.99500  99.89494  99.73966  99.75470  99.65942 #>  [80970] 100.62803  99.63433 100.36932  99.88493  99.69955 100.17984  99.89995 #>  [80977] 100.06498  99.84488 100.51368 100.45397 100.03999 100.56341  99.84488 #>  [80984] 100.08496 100.41414  99.70958 100.12992  99.78978  99.87492 100.14490 #>  [80991] 100.16986 100.26465 100.06498  99.96499 100.28460 100.44401  99.81984 #>  [80998] 100.25468  99.74969 100.08496 100.14989  99.74467  99.88994  99.72963 #>  [81005]  99.56405  99.88493  99.98500  99.66945 100.17984  99.91496 100.09995 #>  [81012]  99.64437 100.20479  99.80481  99.66945  99.88493 100.14989 100.03499 #>  [81019] 100.19481  99.51382 100.31949 100.03499  99.85489  99.61928 100.06498 #>  [81026]  99.80982 100.08496 100.15987  99.99000 100.06998  99.76472  99.79980 #>  [81033] 100.30454  99.93498  99.49372  99.87993  99.79980 100.42908 100.03000 #>  [81040] 100.32447  99.77475 100.36932 100.33942 100.33942 100.08496 100.27961 #>  [81047] 100.11993 100.20479  99.91496  99.92998  99.99500 100.42410 100.05498 #>  [81054] 100.35935  99.97000  99.73966 100.28460  99.99000 100.34939  99.65440 #>  [81061] 100.18982 100.03999  99.48869  99.86992  99.88994 100.23472  99.81483 #>  [81068] 100.35437  99.93998  99.77976  99.94999  99.84488  99.74969 100.38924 #>  [81075] 100.05998  99.93498 100.19980  99.85489 100.31949 100.05998  99.65942 #>  [81082] 100.03999  99.95999 100.06498  99.97000 100.47388 100.05998 100.07997 #>  [81089]  99.93998  99.70456 100.40418 100.21976 100.18982 100.47885  99.85990 #>  [81096] 100.05998  99.97500 100.13990  99.79479  99.85990  99.52889  99.78978 #>  [81103]  99.62931  99.83486 100.01000  99.98000  99.54396 100.27961 100.23472 #>  [81110]  99.81483 100.50373 100.42410 100.54850  99.92998 100.06998 100.05998 #>  [81117]  99.80481  99.69453 100.42908  99.90996  99.53391 100.07997 100.13491 #>  [81124]  99.69955 100.03000  99.84989  99.87993  99.90996  99.84488  99.80481 #>  [81131]  99.52889 100.21976  99.62931 100.18483 100.00500 100.25966  99.80982 #>  [81138] 100.11493  99.44345  99.73966  99.69955  99.51884  99.86491  99.89995 #>  [81145] 100.47885  99.90495  99.99000  99.92497  99.83987  99.82986  99.91496 #>  [81152]  99.85489  99.87492  99.72462  99.34284 100.18483 100.00000 100.05998 #>  [81159]  99.73465  99.42837 100.16486  99.56405  99.73465  99.70958 100.28958 #>  [81166] 100.12492 100.22475 100.12492  99.64437  99.77475 100.36932  99.73966 #>  [81173] 100.17485  99.96499  99.84989 100.16986 100.33444  99.61426 100.24969 #>  [81180]  99.91997 100.52363 100.03000 100.03000 100.01000 100.48383 100.19481 #>  [81187]  99.78978  99.74467  99.72462  99.92998  99.76973 100.01000  99.78477 #>  [81194]  99.47361 100.23971  99.62931 100.24969 100.11993 100.00000  99.73966 #>  [81201]  99.84989  99.62429  99.82986 100.27462  99.79980 100.08496  99.52889 #>  [81208]  99.93498 100.03000 100.32447  99.62429 100.01000 100.09995 100.19481 #>  [81215]  99.91997  99.71459 100.04999 100.05998  99.81483  99.44345  99.69955 #>  [81222] 100.16486 100.07997 100.12492 100.22974 100.22475  99.99500 100.21477 #>  [81229]  99.82986 100.29955 100.04499  99.80982 100.70750  99.97500 100.03499 #>  [81236]  99.93498 100.09495  99.89494 100.30952 100.58827  99.70958  99.66444 #>  [81243]  99.90495 100.14490  99.81984 100.37430 100.63797 100.12992  99.91997 #>  [81250] 100.37430  99.68450  99.47361  99.50377  99.94999  99.71961  99.93998 #>  [81257]  99.63935  99.98500 100.30952  99.91496 100.02000 100.38924 100.25966 #>  [81264] 100.11493  99.97000  99.67949  99.69453 100.20479 100.54352 100.06998 #>  [81271]  99.86992 100.09995  99.91997 100.20978 100.01000  99.70456 100.27462 #>  [81278]  99.87993  99.38310 100.01000  99.39316  99.52387  99.85990 100.16486 #>  [81285] 100.05998 100.03499 100.29457 100.26964  99.93998 100.17984  99.91997 #>  [81292] 100.30454 100.03000 100.39920 100.01000  99.79980  99.95499  99.56405 #>  [81299]  99.64939 100.12492  99.75971 100.12992  99.90495  99.97000 100.48383 #>  [81306]  99.94999 100.01500 100.17485  99.88994  99.42837 100.52363  99.93998 #>  [81313] 100.15488  99.65942 100.13990 100.05498  99.89494  99.83486  99.92497 #>  [81320] 100.03499 100.03999 100.20479  99.71459  99.85990  99.77976 100.11493 #>  [81327]  99.83987 100.46890  99.60924  99.48367 100.03000 100.19980 100.23971 #>  [81334]  99.13123  99.85489 100.39920  99.37807  99.92497 100.53358  99.44345 #>  [81341]  99.73465  99.88493 100.27961  99.84989  99.70958 100.21976  99.87993 #>  [81348]  99.64939  99.93498  99.81483  99.99000 100.32447 100.60318  99.89494 #>  [81355] 100.21477 100.09495 100.26964 100.08996  99.90495 100.25468 100.14989 #>  [81362] 100.14989  99.85990 100.33942 100.11993  99.92497 100.38924  99.95499 #>  [81369] 100.02000  99.95499 100.14490 100.26964 100.03000 100.12992 100.71743 #>  [81376] 100.03499  99.71459  99.90495  99.67447  99.70958  99.90495  99.89995 #>  [81383]  99.85489 100.22974  99.97000  99.86992  99.85990 100.26465  99.84488 #>  [81390]  99.92998 100.39422 100.12492 100.17984  99.54898 100.17984 100.37430 #>  [81397] 100.31451 100.31949  99.96499 100.01500  99.59920  99.97500 100.03999 #>  [81404] 100.24969 100.16986  99.72462 100.04499  99.61928 100.63797  99.44345 #>  [81411] 100.43904 100.09995  99.89995  99.64437 100.19980 100.05498 100.70253 #>  [81418] 100.38924 100.37928 100.38924  99.77475 100.60318  99.61426  99.80481 #>  [81425] 100.30454 100.11993 100.56838  99.88493 100.08996  99.40825  99.80982 #>  [81432]  99.87993 100.12492 100.23472  99.88493 100.25966 100.04999  99.84488 #>  [81439] 100.77698  99.92998  99.94498 100.32946 100.28958 100.28460 100.34441 #>  [81446] 100.00000 100.51368  99.85489  99.32271  99.92998  99.85489  99.73966 #>  [81453] 100.20479 100.15987  99.61426  99.97500  99.90996  99.95999  99.71961 #>  [81460] 100.36434 100.11493  99.60924 100.08996  99.47864  99.90495 100.29955 #>  [81467]  99.81984  99.54396  99.98500  99.68952 100.22475 100.25468  99.85489 #>  [81474]  99.97000 100.11493  99.95999 100.11493 100.00500  99.93998 100.06998 #>  [81481] 100.15987  99.57911  99.90495 100.02500  99.34284  99.88493  99.77475 #>  [81488] 100.60318 100.45895 100.46392  99.99000  99.60422 100.16486  99.70456 #>  [81495] 100.34441 100.46890 100.61312 100.12992  99.78978  99.75470 100.26465 #>  [81502] 100.05498  99.78978  99.99500 100.29457  99.69955 100.01000 100.21477 #>  [81509]  99.55401 100.45397 100.28460  99.86491  99.99500 100.25966 100.03000 #>  [81516]  99.99500  99.86992 100.08996  99.60422  99.94498 100.19980 100.05498 #>  [81523] 100.19481 100.11993  99.93498 100.00500 100.08996 100.41912 100.09495 #>  [81530] 100.40418  99.97500  99.97500  99.97000  99.86992 100.47388 100.72239 #>  [81537] 100.08996 100.15987 100.56341 100.66280 100.03999  99.87492  99.57409 #>  [81544]  99.81984  99.87993  99.72462  99.98000 100.27462 100.14490 100.19481 #>  [81551] 100.30454  99.63433 100.10494 100.19481 100.22974  99.84488 100.44899 #>  [81558]  99.97000  99.87492  99.66444 100.28460 100.24969 100.09995 100.07997 #>  [81565]  99.87993  99.76973 100.46890  99.29250  99.68952 100.08496 100.01500 #>  [81572]  99.57911  99.38310  99.77475  99.51884  99.87492  99.56907 100.40418 #>  [81579] 100.61312 100.31451  99.90996  99.65440  99.81984 100.18483 100.07497 #>  [81586] 100.74225 100.02500  99.71961 100.10494 100.02000  99.66945 100.42410 #>  [81593] 100.44401 100.10994  99.81483 100.39422 100.00500 100.13990  99.94999 #>  [81600]  99.82986  99.70456  99.88493 100.12492 100.32946 100.03499  99.80481 #>  [81607]  99.70958 100.52860 100.08996  99.53894 100.06998 100.31451 100.23472 #>  [81614]  99.86491 100.37928  99.85489 100.33942 100.12492 100.64790  99.58414 #>  [81621]  99.76973  99.81483 100.34441  99.85489  99.75971 100.23971 100.33444 #>  [81628] 100.01000 100.23971 100.06998 100.44401 100.34441 100.26964 100.20479 #>  [81635]  99.72462  99.62429 100.06498 100.45397  99.97500  99.99500  99.93498 #>  [81642] 100.24969 100.36434 100.04499 100.26964 100.16986  99.59920 100.26465 #>  [81649]  99.50377  99.85489  99.82485 100.23971 100.31451  99.95499  99.87993 #>  [81656] 100.37430 100.08496 100.36434 100.27961  99.87492  99.88994 100.01500 #>  [81663] 100.25468  99.63433 100.12492  99.77475  99.67447  99.92497 100.22974 #>  [81670]  99.78477 100.40916  99.71459  99.31767  99.85489 100.66280 100.42908 #>  [81677] 100.03000  99.78477  99.88493  99.80481 100.13990  99.86491 100.03499 #>  [81684]  99.95999 100.05998 100.27961  99.76472  99.46356  99.68450 100.74225 #>  [81691]  99.91496 100.01000  99.66444 100.67770 100.30454  99.67447 100.13491 #>  [81698]  99.89494 100.26964 100.21976 100.30952 100.01500 100.01500  99.74467 #>  [81705]  99.85990  99.99500 100.27462 100.08996 100.09995  99.94999  99.99000 #>  [81712]  99.74467 100.23472  99.84488 100.07997 100.08996  99.89494 100.44899 #>  [81719]  99.59920  99.55903  99.78477  99.79980  99.78978 100.30454 100.17485 #>  [81726] 100.21477 100.07497  99.48367 100.11993  99.70456  99.90996  99.91496 #>  [81733]  99.65440  99.84488 100.24969  99.70958  99.71961 100.07997  99.36800 #>  [81740]  99.70456 100.16486  99.74467  99.98000 100.59821  99.71961 100.57833 #>  [81747] 100.20978  99.96499 100.44899 100.48383 100.07497 100.31949 100.22475 #>  [81754] 100.12992 100.41414  99.94498  99.40322 100.19481  99.76472  99.97500 #>  [81761]  99.93998  99.93998 100.46890 100.01000  99.86491  99.57911 100.23472 #>  [81768]  99.83987 100.09995 100.03000 100.47885 100.27462  99.42837  99.87993 #>  [81775] 100.41414  99.61426 100.12492  99.83486  99.92497  99.83987  99.85990 #>  [81782] 100.44899 100.19980 100.18982  99.86992 100.46392 100.21477  99.91496 #>  [81789] 100.21477  99.80982 100.05998  99.90996 100.19481 100.26465 100.10994 #>  [81796]  99.93998  99.71459  99.68952  99.93998 100.33444  99.66444  99.84488 #>  [81803] 100.14989  99.78978 100.14490 100.25966  99.72462  99.65440 100.26465 #>  [81810]  99.67447  99.87492 100.36932 100.16986  99.92497  99.41831  99.41328 #>  [81817]  99.86992  99.71459 100.19481  99.99500  99.84488  99.68450 100.02500 #>  [81824] 100.67274  99.76973  99.98500 100.18982  99.85489  99.72963  99.90996 #>  [81831] 100.80179 100.01000 100.23971 100.06498 100.66777  99.90996 100.20479 #>  [81838] 100.17485  99.78978 100.61312  99.72462 100.36434 100.38426  99.94999 #>  [81845] 100.02500 100.43904 100.22974 100.27961 100.21477 100.01500  99.77475 #>  [81852]  99.82986 100.00000 100.25468 100.16486  99.74969  99.97500 100.60815 #>  [81859] 100.11493 100.18982  99.95999 100.04499  99.61426 100.18483  99.62429 #>  [81866]  99.98500  99.92497  99.96499  99.90996  99.98500 100.01000 100.03000 #>  [81873]  99.68952 100.19481  99.46859  99.90495 100.31949  99.81984  99.89995 #>  [81880] 100.30454 100.13990  99.91997  99.99000  99.78477 100.08996  99.93998 #>  [81887]  99.67447 100.37430  99.66444 100.13990  99.96499  99.62931  99.30760 #>  [81894]  99.83486 100.45397  99.76472 100.12492  99.74467  99.61426 100.00000 #>  [81901] 100.00000  99.53894 100.00500 100.23971  99.58916  99.78477 100.07997 #>  [81908]  99.43842 100.34939  99.83486  99.83486  99.48367 100.32946 100.42908 #>  [81915] 100.21976 100.69260 100.29457  99.69955 100.01000 100.30454 100.35935 #>  [81922]  99.80481 100.05998 100.05998  99.96499  99.91997 100.19481  99.89995 #>  [81929]  99.29753  99.86491  99.99500  99.82485 100.18483 100.32946 100.00500 #>  [81936] 100.64293  99.52387 100.80179 100.21477 100.50871  99.88994  99.92998 #>  [81943]  99.72963 100.18982  99.66945  99.88994 100.13491 100.03999 100.46890 #>  [81950] 100.36932  99.86491  99.79479 100.37928  99.84488  99.93498  99.68952 #>  [81957]  99.84488 100.26964 100.54850  99.65942  99.98000  99.57911  99.58916 #>  [81964]  99.68952  99.83987 100.47388  99.30257 100.09995  99.98000  99.42837 #>  [81971]  99.85489  99.95999 100.01000 100.31949 100.08496 100.21477 100.32447 #>  [81978]  99.69955 100.13990  99.79980 100.09995  99.94999  99.72963 100.32447 #>  [81985] 100.17485  99.83987  99.48869  99.82485  99.84488 100.42908 100.47388 #>  [81992] 100.02000  99.66945 100.21976 100.44899  99.91997 100.60815 100.19980 #>  [81999] 100.25468  99.96499  99.78477  99.62429 100.03000  99.30760 100.03999 #>  [82006]  99.87492 100.26465 100.26964  99.65942 100.05498  99.64437 100.40418 #>  [82013]  99.82986 100.20978  99.78978  99.65440 100.52363 100.06998  99.56907 #>  [82020] 100.31949  99.54898 100.04499  99.83486 100.43406  99.71961  99.71459 #>  [82027]  99.78477 100.34441  99.93498 100.12992 100.11493  99.87993  99.91496 #>  [82034] 100.38426  99.78978 100.07497 100.43904  99.89995 100.29955  99.53391 #>  [82041] 100.04499  99.43339 100.21477 100.20978  99.50377  99.88493 100.09995 #>  [82048]  99.77976 100.01500  99.96499 100.09495  99.83987  99.68450  99.90996 #>  [82055] 100.13491  99.88994  99.94498  99.87492 100.17485  99.86491 100.06998 #>  [82062]  99.90996  99.77976 100.02500  99.87492 100.50373 100.00000 100.11493 #>  [82069]  99.38310 100.10994  99.63935 100.45397 100.25966 100.38426  99.73966 #>  [82076] 100.26964  99.70456  99.50879  99.79479  99.77976  99.99000  99.72963 #>  [82083]  99.37303  99.67949 100.07997 100.39920 100.03499 100.70253 100.45895 #>  [82090]  99.43339 100.25966  99.93998  99.76472  99.80481  99.74969 100.11493 #>  [82097] 100.16486 100.20978  99.97000 100.12992 100.24969  99.96499 100.23971 #>  [82104]  99.74969 100.45895 100.16986 100.16486  99.93498  99.77976 100.25468 #>  [82111] 100.06498  99.70958 100.06998 100.00000  99.64939  99.94498 100.51368 #>  [82118]  99.60422 100.31949 100.18982 100.20479  99.49874 100.52860 100.07497 #>  [82125] 100.11493  99.70958  99.82986  99.97000 100.06498 100.38426 100.03499 #>  [82132] 100.23472  99.84989 100.18483  99.90495  99.95499 100.25468 100.30952 #>  [82139]  99.91997  99.65942  99.74467 100.37430 100.17984 100.32946  99.73465 #>  [82146]  99.80481 100.28958 100.16486 100.03000 100.00000  99.58414 100.17984 #>  [82153] 100.30952 100.34441 100.34939  99.84989  99.73966  99.62429  99.68952 #>  [82160] 100.37928 100.04999 100.04999 100.28958 100.41414  99.23709  99.65942 #>  [82167]  99.86992 100.18982  99.66444 100.13491 100.21477  99.90996  99.82986 #>  [82174]  99.74467  99.54396  99.97000  99.79479  99.97000  99.86992  99.59920 #>  [82181] 100.17984 100.17984 100.25468 100.16986  99.77976  99.81483 100.03000 #>  [82188]  99.74467 100.29955 100.26964 100.10994 100.01000  99.89995 100.29457 #>  [82195] 100.18483  99.71961  99.46859  99.46859 100.08996 100.06998  99.80982 #>  [82202] 100.09495 100.45895 100.40916  99.74467 100.14989 100.18483  99.54396 #>  [82209]  99.65440  99.84488 100.07497  99.85489 100.19980 100.17485 100.18982 #>  [82216] 100.68764 100.36932 100.11493 100.37928  99.48869  99.72462 100.37928 #>  [82223] 100.12492  99.77976 100.15987  99.86992 100.04999 100.07497 100.41414 #>  [82230] 100.39422  99.38310  99.58414  99.87993  99.46356 100.17984  99.83987 #>  [82237] 100.37928 100.23971 100.50373 100.24470  99.70958 100.28958  99.51382 #>  [82244] 100.28958 100.35935 100.40916 100.25966 100.39422 100.04499 100.05998 #>  [82251]  99.68952  99.81483  99.88493 100.46392  99.90495  99.95999 100.09995 #>  [82258]  99.88493  99.93998 100.49378  99.72963 100.24969  99.94999 100.17984 #>  [82265]  99.80481  99.86992 100.04999  99.48367 100.25468 100.04499 100.21976 #>  [82272]  99.81483 100.08996  99.54898 100.28958 100.32946  99.83987 100.17984 #>  [82279] 100.18982  99.75971  99.98000  99.84989 100.16486 100.10994 100.42410 #>  [82286] 100.01000  99.87993  99.90495  99.89494 100.35437  99.68450  99.65440 #>  [82293] 100.16486 100.24969  99.99000  99.91997 100.34939 100.15488 100.32447 #>  [82300]  99.84488  99.66945 100.00000  99.62429 100.25468 100.14989  99.77976 #>  [82307] 100.30454 100.00000  99.77976  99.70456 100.08496 100.55347  99.86491 #>  [82314] 100.26964 100.00500 100.37928  99.83486  99.47361 100.33444 100.04999 #>  [82321] 100.69757 100.10994 100.22475 100.19481  99.59920 100.10494 100.27462 #>  [82328]  99.74467 100.29457  99.85489 100.15488  99.62429 100.11493 100.36932 #>  [82335]  99.52387 100.31949  99.78477 100.02500 100.03000 100.23971 100.17485 #>  [82342]  99.98500 100.01000 100.03000 100.13990 100.40916 100.29955 100.00000 #>  [82349] 100.04499  99.79980  99.86992  99.61928  99.87993  99.98500 100.07497 #>  [82356] 100.49876 100.00500 100.13491 100.35437  99.70456  99.79980  99.93998 #>  [82363] 100.09495 100.15987  99.82485 100.17485 100.30454  99.94999  99.46356 #>  [82370] 100.15488  99.82986  99.98000  99.81984  99.97000 100.21477  99.55401 #>  [82377]  99.70456 100.26964 100.34939  99.97500 100.45397 100.08996 100.04999 #>  [82384] 100.21976 100.49876 100.52363  99.89995 100.20479  99.89494  99.98500 #>  [82391] 100.28958  99.95999 100.52860 100.45895  99.92497  99.94498 100.07497 #>  [82398] 100.13491  99.94999 100.21976  99.99500 100.06998 100.39920  99.97000 #>  [82405] 100.03999 100.03499 100.18982 100.29457  99.95999  99.84989 100.09495 #>  [82412] 100.20479 100.04999 100.03499  99.89494 100.03999 100.34441 100.00000 #>  [82419] 100.03999 100.07997  99.98500  99.55401  99.89494 100.11993 100.09995 #>  [82426]  99.94999 100.46890  99.59418  99.75470 100.09995  99.93998 100.08996 #>  [82433]  99.52387  99.95499  99.83987 100.63797  99.86491  99.84488 100.35437 #>  [82440] 100.17984  99.69955 100.07997 100.17984  99.07573 100.63300  99.94498 #>  [82447]  99.86992  99.70456  99.94999  99.46356 100.54850 100.39920 100.02000 #>  [82454] 100.15987 100.09995 100.30454 100.14989 100.03000 100.07997 100.21976 #>  [82461]  99.98000 100.24969  99.97500  99.67447  99.83486  99.10600 100.12492 #>  [82468]  99.74467 100.45895  99.81483  99.75470  99.74467 100.19481  99.41831 #>  [82475]  99.81483 100.01000 100.01500 100.15987 100.40418  99.52387 100.08996 #>  [82482]  99.66945 100.64293  99.28243 100.26964  99.98500 100.30454 100.10494 #>  [82489] 100.04499  99.66444 100.20978  99.60924 100.40418  99.82986  99.75971 #>  [82496] 100.12492  99.77475 100.01500 100.08496 100.11493 100.05498 100.37928 #>  [82503] 100.23472 100.32447  99.69453  99.27235  99.72462  99.87993 100.40418 #>  [82510]  99.94498 100.38426 100.38426 100.01000  99.83987  99.48367 100.20479 #>  [82517]  99.84989  99.70958  99.80481 100.27462  99.55401 100.33942  99.78477 #>  [82524] 100.00500 100.13990  99.85990 100.29955 100.28460 100.00000  99.72963 #>  [82531] 100.28958 100.27961  99.88493  99.68952 100.07997 100.44899  99.93998 #>  [82538] 100.27961  99.63433  99.84488 100.30952  99.89995  99.62429  99.67949 #>  [82545] 100.07997 100.42908 100.23472 100.23472  99.86491 100.31949  99.92998 #>  [82552]  99.92998  99.80481  99.82485 100.38924 100.33942 100.21976 100.10494 #>  [82559] 100.23472 100.40916 100.16486 100.33444  99.82986  99.76973  99.95499 #>  [82566]  99.84488 100.33942 100.52363 100.01500 100.05498  99.92998 100.10994 #>  [82573] 100.34441  99.98000 100.04999  99.67447 100.46890  99.92998  99.87993 #>  [82580]  99.89995 100.25966 100.10994  99.89995 100.69260 100.05498  99.80481 #>  [82587] 100.17984 100.01000 100.41912  99.90996  99.69955 100.72735 100.10494 #>  [82594] 100.11993  99.92998 100.01500 100.24969  99.98500  99.68450 100.02500 #>  [82601] 100.27462  99.73966  99.50879  99.80982  99.77976  99.64437 100.41912 #>  [82608] 100.40418 100.28460  99.95999  99.88994 100.27462 100.10494 100.66777 #>  [82615] 100.49378  99.96499 100.16486  99.90495  99.91496 100.31949  99.92497 #>  [82622] 100.04499  99.79479  99.77475  99.97000 100.37928  99.94498  99.98000 #>  [82629] 100.09495  99.89995 100.33444  99.63935 100.07997 100.32946  99.97000 #>  [82636]  99.82986  99.99500 100.22475 100.51865  99.77475 100.08996  99.96499 #>  [82643] 100.05498  99.78477  99.51884 100.04999 100.19481 100.17984 100.22974 #>  [82650] 100.33942  99.63433  99.47361 100.37430 100.09495  99.55903  99.78477 #>  [82657]  99.89995 100.15987 100.22475 100.03000 100.15488  99.86491  99.82986 #>  [82664] 100.29457  99.84488 100.14490  99.38310  99.44848 100.15987 100.49378 #>  [82671]  99.94498  99.64939  99.68952  99.90495  99.44848  99.87993 100.10994 #>  [82678] 100.49378  99.77475 100.18982 100.04999  99.81483 100.17485  99.75470 #>  [82685]  99.75971 100.23971 100.05998 100.06498 100.03999 100.45895 100.10494 #>  [82692]  99.61426 100.10994 100.46392 100.00500  99.80982 100.53358  99.94498 #>  [82699] 100.24969 100.03999  99.77475 100.20479 100.37430  99.68952 100.04999 #>  [82706] 100.36932 100.35437  99.95499  99.60924  99.74969 100.11493  99.91496 #>  [82713]  99.81984  99.89995  99.81483 100.12492 100.11993  99.97500  99.56907 #>  [82720]  99.78978  99.93998 100.11493 100.21976 100.17485  99.78477  99.77475 #>  [82727]  99.75470 100.65784  99.97500  99.99500  99.94999 100.08996 100.08996 #>  [82734] 100.02000  99.63935  99.69955  99.92998  99.94999  99.97500  99.66945 #>  [82741]  99.78978 100.03499  99.96499 100.71246  99.75470 100.16486  99.53391 #>  [82748]  99.98000  99.77475  99.88493  99.91496 100.15488  99.49372 100.17485 #>  [82755]  99.40322  99.58916 100.43904 100.72735 100.20479 100.07997 100.03999 #>  [82762] 100.31451  99.59418 100.12992 100.28958  99.42837 100.17984  99.59418 #>  [82769] 100.02000 100.67274 100.28958  99.49372 100.21477 100.19481 100.23472 #>  [82776] 100.03000  99.81483  99.54898  99.74467  99.89494 100.27961 100.38924 #>  [82783]  99.87492 100.36434  99.28746  99.77976  99.47361 100.27961 100.06498 #>  [82790]  99.96499  99.69955 100.32447  99.89995 100.28460  99.88994  99.98000 #>  [82797]  99.44848 100.05498  99.59418  99.62429  99.73465 100.22475 100.38924 #>  [82804]  99.63433  99.33277  99.61426 100.45397  99.72462  99.42837  99.89995 #>  [82811]  99.97000  99.99000 100.25468 100.33444 100.07997  99.67949  99.30257 #>  [82818]  99.60924  99.81483  99.67949  99.98000  99.40825 100.30454  99.70958 #>  [82825]  99.74969  99.64437 100.10494 100.20479  99.85990 100.20479  99.49372 #>  [82832]  99.50377 100.09495  99.80481 100.07997 100.03499 100.18982  99.92998 #>  [82839] 100.44899  99.86992  99.53894 100.10994  99.71459 100.21477  99.97000 #>  [82846] 100.23971 100.28958  99.61426  99.90996  99.91496 100.11993 100.16986 #>  [82853] 100.15488  99.83486 100.50373  99.43842  99.87993  99.62931 100.43904 #>  [82860] 100.34939  99.84989  99.73966 100.23472  99.93498  99.99000 100.25468 #>  [82867]  99.54396 100.25966 100.06998 100.16486 100.34441 100.31451  99.71961 #>  [82874] 100.42410 100.33444  99.96499  99.58916  99.86491  99.90495  99.95499 #>  [82881]  99.80982  99.44345  99.37807 100.10994  99.75971  99.82986 100.26465 #>  [82888]  99.31264 100.17984 100.55844 100.26964 100.18483 100.37928  99.87492 #>  [82895]  99.94999  99.70456  99.53894 100.35935 100.03999 100.26465 100.16986 #>  [82902]  99.95999 100.27961  99.95999  99.55401  99.98500  99.90495  99.74969 #>  [82909]  99.87492  99.67447  99.93498 100.60318 100.03000  99.66444  99.99000 #>  [82916]  99.86992  99.42837  99.95499 100.28460  99.87993  99.87993  99.55401 #>  [82923] 100.05498 100.21477  99.83486  99.99000 100.04999 100.06498  99.45351 #>  [82930]  99.69955 100.28958 100.10494 100.08496  99.98500 100.04499 100.07497 #>  [82937]  99.79980 100.24470  99.84488  99.93998  99.75971 100.48881  99.65942 #>  [82944]  99.52889 100.34441  99.41328 100.62306 100.13491 100.12992  99.91997 #>  [82951]  99.40322 100.47388 100.58330  99.46356  99.86992  99.99000  99.29753 #>  [82958]  99.77976  99.80982 100.24470  99.52387  99.93998  99.85489  99.84488 #>  [82965]  99.65440  99.94999 100.14490  99.77475  99.48367  99.94999  99.89995 #>  [82972]  99.83486 100.16986  99.99000  99.90495 100.01500 100.09495 100.13990 #>  [82979] 100.09495  99.78477 100.01500  99.89995 100.00500 100.42410 100.23971 #>  [82986]  99.88994 100.27961 100.21976 100.12492 100.03000  99.80982  99.90996 #>  [82993] 100.09995 100.26465  99.88994 100.26465 100.15987  99.55903  99.84989 #>  [83000] 100.18483 100.12992  99.68450 100.20479 100.20479  99.75971 100.20479 #>  [83007] 100.14989  99.85489 100.10994 100.07997 100.17485  99.94498 100.06498 #>  [83014] 100.18483 100.67274 100.04999 100.24470  99.89494 100.17984 100.57336 #>  [83021]  99.76973  99.64939  99.99500  99.51884  99.52889 100.25468  99.87993 #>  [83028] 100.01000 100.27961  99.89995 100.04499  99.75971 100.23971 100.22475 #>  [83035]  99.94498  99.84488  99.82986 100.30952 100.45895  99.84488  99.76472 #>  [83042] 100.01000  99.73966  99.69453 100.10494 100.21976  99.54898  99.49372 #>  [83049]  99.29753  99.64437  99.90996 100.13491 100.11493 100.38426 100.33942 #>  [83056]  99.95499  99.97000  99.65942  99.91496 100.15987 100.22475 100.11993 #>  [83063] 100.50373  99.58414  99.94999 100.39422  99.97500  99.93498 100.03000 #>  [83070] 100.06498  99.68952 100.04499  99.97500 100.30952 100.26465 100.13990 #>  [83077]  99.65440  99.90996 100.56838  99.89494 100.23971  99.80982 100.13990 #>  [83084] 100.34441 100.10494  99.92998 100.14490  99.80481  99.89494 100.12992 #>  [83091]  99.94498  99.81483  99.90996  99.99000  99.80982 100.17984  99.66444 #>  [83098] 100.03499  99.87993  99.81984  99.44848  99.90996  99.76973  99.91496 #>  [83105]  99.89494 100.16486 100.12992 100.17485 100.13491  99.70456 100.05998 #>  [83112] 100.01500 100.52363 100.17984  99.63935  99.76973  99.84488  99.58916 #>  [83119]  99.93498  99.91997  99.98500 100.01500 100.15987  99.71961  99.68952 #>  [83126] 100.12492  99.65942 100.03999 100.42908  99.68952  99.80481 100.52860 #>  [83133]  99.97500  99.99000  99.47864 100.00500  99.65942 100.14989  99.92998 #>  [83140]  99.40322  99.87492 100.02500 100.17984  99.85990  99.91496 100.31949 #>  [83147] 100.19980  99.99000  99.68952  99.83486 100.46392 100.56838 100.00500 #>  [83154]  99.69453 100.03499  99.68450  99.83486  99.93498  99.72462  99.60924 #>  [83161] 100.11493 100.16986  99.94999 100.26964  99.94498  99.95499 100.23472 #>  [83168] 100.10994  99.63433 100.01500  99.98000 100.44899  99.91997 100.06498 #>  [83175] 100.16486 100.22974 100.13491 100.16986 100.12992  99.85489 100.16486 #>  [83182] 100.26964  99.70456 100.32447 100.06498  99.77976  99.94498 100.36434 #>  [83189] 100.18483 100.34939  99.84989 100.34441  99.95499 100.10994 100.29955 #>  [83196]  99.91997  99.60422  99.70958 100.15987 100.37430  99.75971  99.59920 #>  [83203] 100.18982  99.69453  99.83486  99.92998  99.73465 100.10494 100.38924 #>  [83210]  99.83987 100.53358 100.01000 100.02500  99.75971 100.20479 100.14989 #>  [83217] 100.18483  99.60422  99.90495  99.34284 100.02000 100.06998 100.18483 #>  [83224]  99.37807 100.22475 100.51865  99.71459 100.60815  99.95999 100.23472 #>  [83231] 100.08996  99.70958 100.31451  99.73966 100.02500  99.87993 100.16986 #>  [83238] 100.10494  99.57911 100.05998  99.56405  99.48367 100.17984 100.23472 #>  [83245]  99.77976 100.39422  99.66945  99.97000 100.25468  99.70456  99.96499 #>  [83252] 100.10494  99.88994  99.73465  99.34284 100.31949  99.56405 100.59821 #>  [83259] 100.57336 100.42908  99.79479 100.29955 100.20479 100.00500 100.04499 #>  [83266]  99.91496  99.70456  99.58916  99.97000 100.38426 100.42410 100.63797 #>  [83273] 100.09495  99.90495 100.32946 100.15987 100.51865 100.03499  99.93498 #>  [83280]  99.65440  99.51382 100.11493 100.49378 100.31949 100.29955 100.02000 #>  [83287]  99.96499 100.33444  99.83987  99.86491 100.34441  99.74467 100.14490 #>  [83294] 100.26465 100.39920 100.11493 100.03499 100.15987  99.96499  99.36297 #>  [83301] 100.07997  99.90996 100.05998  99.78978 100.60815  99.89995  99.95999 #>  [83308]  99.99000  99.98000 100.02000 100.07997 100.19980  99.78477 100.31451 #>  [83315]  99.46859  99.94999  99.74467  99.90996  99.51884 100.22475 100.26465 #>  [83322]  99.89494 100.59324  99.66945 100.35935  99.34284  99.80982 100.46392 #>  [83329] 100.15987  99.95499  99.75971  99.99500 100.27961 100.01000  99.91496 #>  [83336]  99.84488  99.85990  99.97500  99.57409  99.99500 100.25966 100.04499 #>  [83343] 100.13491  99.41831 100.45397 100.07997 100.24470 100.25966 100.17984 #>  [83350] 100.25468 100.72239  99.72963  99.93998 100.33942 100.02500  99.74969 #>  [83357]  99.90996 100.16986  99.95499  99.90996  99.88994 100.03000 100.05998 #>  [83364] 100.30454 100.24969  99.86992  99.91496  99.82986  99.85489 100.07997 #>  [83371] 100.50871 100.05498  99.79980 100.34441  99.79980  99.83486 100.09495 #>  [83378]  99.85990  99.39316  99.64437 100.14490 100.73728  99.82485 100.01000 #>  [83385] 100.09995 100.03999 100.53358 100.27961  99.38310 100.20479 100.28460 #>  [83392]  99.80982 100.23971 100.04999  99.92998  99.66444  99.56405 100.03000 #>  [83399] 100.40418 100.07497  99.61928  99.53391  99.66945 100.37430  99.84488 #>  [83406]  99.87993 100.30952  99.76472 100.03499  99.79479  99.83486 100.11993 #>  [83413]  99.66945 100.03499 100.23971  99.83987  99.67447  99.94999 100.46392 #>  [83420] 100.07497 100.43904  99.72963 100.41912  99.94498  99.77475  99.42334 #>  [83427]  99.35794 100.50373  99.85489 100.45397  99.63935 100.18982 100.52363 #>  [83434] 100.03499 100.29457 100.06498  99.55903 100.44899  99.73966 100.54850 #>  [83441]  99.82986  99.71961 100.63797  99.45351  99.79980 100.08496 100.39422 #>  [83448]  99.46356  99.87492 100.48383  99.35291 100.58827 100.30454 100.02000 #>  [83455] 100.03000 100.21976 100.09495  99.88493  99.90996 100.03499 100.23971 #>  [83462]  99.51382 100.28460 100.28460  99.55401 100.19980 100.43406 100.15488 #>  [83469] 100.30952  99.80982  99.97000  99.79479  99.97500  99.78978 100.34441 #>  [83476] 100.19481  99.75971  99.88994 100.50373 100.11493 100.06498  99.98500 #>  [83483]  99.39819 100.22475  99.75971  99.59920 100.37430  99.76472 100.02500 #>  [83490] 100.21477  99.35794  99.78477 100.26964  99.85489 100.00000  99.78978 #>  [83497] 100.57833 100.38426  99.88994 100.34939  99.46859 100.27462  99.87492 #>  [83504]  99.91997  99.72963 100.10494 100.03999 100.11993  99.83987  99.61426 #>  [83511]  99.49372 100.32946  99.66444  99.95999  99.94498 100.39920 100.18483 #>  [83518] 100.00500 100.20978 100.21477 100.16986 100.10494 100.28460 100.24969 #>  [83525] 100.28460 100.22475 100.27961 100.47885  99.83486 100.11493  99.52889 #>  [83532] 100.04499 100.08496 100.15488 100.14490 100.08496  99.79479 100.21976 #>  [83539] 100.17984  99.80982 100.26964 100.24470 100.02500  99.83987  99.78477 #>  [83546]  99.74467 100.33444  99.83987  99.74467  99.85489  99.73966  99.68450 #>  [83553]  99.58414 100.36932  99.34284  99.88994 100.34939 100.16986 100.27462 #>  [83560] 100.50373  99.89494 100.03999 100.14989 100.19481  99.76472  99.95499 #>  [83567] 100.10994 100.03499 100.22974 100.03499 100.34441  99.66444 100.24470 #>  [83574] 100.69260  99.80982 100.13990 100.04499 100.07997 100.23971 100.14989 #>  [83581]  99.97500  99.91496  99.36297 100.20978  99.88493  99.99000 100.10494 #>  [83588]  99.81984 100.00000  99.49372 100.46392 100.14490  99.98500 100.60815 #>  [83595] 100.18982 100.38924 100.35437 100.43904  99.94999  99.92497  99.86992 #>  [83602]  99.97000  99.95499  99.44345  99.83486 100.05498 100.11493  99.90495 #>  [83609]  99.76973  99.22701 100.15488  99.92998 100.23971  99.91997  99.84488 #>  [83616]  99.69453 100.38924 100.30454 100.45397  99.71459  99.30257  99.82485 #>  [83623] 100.17984  99.78978  99.57409  99.63935 100.18483  99.50377  99.95999 #>  [83630]  99.82986  99.37807  99.61928 100.20978 100.11993  99.75971 100.25468 #>  [83637]  99.92998 100.29955  99.95499 100.21477  99.43842 100.32946 100.03499 #>  [83644] 100.03999 100.28460  99.87993 100.39920  99.95999  99.89494 100.52860 #>  [83651] 100.10994  99.83987 100.08996 100.43406  99.85489 100.32946  99.85489 #>  [83658] 100.27462 100.03499 100.20479  99.94498  99.91997  99.32271  99.73465 #>  [83665] 100.25966 100.21976  99.71961  99.97000  99.95999 100.32447 100.20479 #>  [83672]  99.59920 100.68764 100.47388  99.57911 100.12492  99.60924  99.84989 #>  [83679] 100.08996  99.96499 100.00500  99.87993 100.12492 100.02000 100.24470 #>  [83686]  99.85489 100.30952 100.03000  99.44345 100.23472  99.71459  99.74969 #>  [83693] 100.32447 100.27462  99.84488 100.03000  99.88994 100.04499 100.07497 #>  [83700] 100.18982 100.43904  99.16653 100.01000  99.37807 100.02500 100.60815 #>  [83707]  99.65942  99.91997 100.40418  99.45853  99.88994  99.94999  99.84488 #>  [83714] 100.03999 100.12992  99.54396  99.70456  99.79980  99.90996 100.34441 #>  [83721] 100.03499  99.67949  99.82986 100.45895 100.06998  99.83987 100.15987 #>  [83728]  99.98500 100.18982  99.97000  99.95999 100.43406  99.67949  99.88994 #>  [83735]  99.90495 100.08996  99.86992 100.27462  99.94999  99.76973 100.17485 #>  [83742]  99.73966 100.27961 100.01000  99.51884  99.74969  99.97000 100.32447 #>  [83749]  99.93498  99.92998 100.08496  99.66945 100.43406 100.26964 100.70253 #>  [83756]  99.90996 100.31451  99.97000  99.66444 100.17485 100.07497  99.55401 #>  [83763]  99.91496  99.91997 100.05998  99.70958 100.03999  99.80481  99.86992 #>  [83770]  99.71459  99.79980 100.30454  99.60422  99.82986  99.95499 100.09995 #>  [83777]  99.95499  99.94999  99.66444  99.80982  99.47361  99.49372 100.81667 #>  [83784] 100.32447 100.48383 100.11493 100.50871  99.68450 100.33942  99.28243 #>  [83791] 100.02500 100.13491 100.01000  99.46859 100.09995 100.57336  99.85990 #>  [83798]  99.69453 100.34441  99.87993  99.81984  99.69955 100.32447 100.26465 #>  [83805] 100.34939 100.17984 100.33942  99.80481 100.21976  99.39316  99.82485 #>  [83812]  99.94498  99.66444  99.85489  99.86992 100.25966 100.13990  99.91997 #>  [83819] 100.13990 100.28958 100.19980 100.35935  99.88994  99.61426 100.02000 #>  [83826] 100.26964 100.06998 100.00000 100.43904  99.88493  99.71961  99.59920 #>  [83833]  99.94498  99.62931  99.93998  99.53894 100.06998  99.86992  99.94999 #>  [83840] 100.34939 100.00000  99.87993  99.75470 100.12492  99.74969  99.79980 #>  [83847] 100.50373  99.78978 100.21477  99.69955  99.85990  99.44345  99.88493 #>  [83854]  99.71961  99.73966  99.64437  99.81984 100.22974 100.37928 100.09495 #>  [83861]  99.70456 100.31949 100.29955  99.64437  99.44848 100.35935  99.80481 #>  [83868]  99.95499  99.83486 100.24969  99.84488 100.38426 100.16486 100.04499 #>  [83875] 100.18483 100.26964  99.86491 100.28460 100.08996 100.21976 100.10994 #>  [83882]  99.87993 100.14490 100.15987 100.16986 100.09995 100.16486  99.92497 #>  [83889] 100.55347  99.90996 100.43406 100.55844  99.97000  99.75470 100.23472 #>  [83896] 100.46392 100.48383  99.97000 100.30454  99.90495 100.09495 100.07997 #>  [83903] 100.38426  99.66444  99.39819  99.88994 100.22974  99.72963 100.30952 #>  [83910] 100.13491  99.85990  99.83987 100.48881  99.39819 100.14490 100.16486 #>  [83917]  99.59920  99.91997  99.88994 100.23472  99.87492 100.64293 100.12492 #>  [83924]  99.80481  99.99500  99.73966  99.98500 100.21976 100.09995  99.62931 #>  [83931]  99.71459  99.97500  99.71961 100.08496 100.28460 100.09995  99.82485 #>  [83938] 100.40418  99.61928  99.92497  99.91496 100.30454 100.44899  99.61928 #>  [83945]  99.88493 100.44401  99.86992 100.00000  99.77976 100.07997  99.93498 #>  [83952] 100.09495  99.96499 100.03000 100.19481  99.69453 100.10494 100.60815 #>  [83959] 100.18483 100.20479 100.12992  99.35794  99.89494 100.77698 100.44899 #>  [83966] 100.02000  99.63433 100.09995 100.73728 100.63797  99.74467 100.33444 #>  [83973] 100.01500 100.07997  99.91997 100.01000 100.36932  99.78978 100.10994 #>  [83980] 100.22475  99.92998 100.51865  99.33781  99.59418 100.07497 100.42908 #>  [83987] 100.29457 100.11493 100.18982  99.86992 100.12492 100.40418  99.63935 #>  [83994] 100.03499  99.78978 100.15488  99.60924 100.25966 100.23472  99.86491 #>  [84001]  99.61426  99.82986 100.09495 100.15488 100.33444 100.08996  99.69453 #>  [84008]  99.89995  99.48869 100.38924  99.63935 100.35935 100.30952  99.62931 #>  [84015]  99.69955  99.95999 100.03499 100.50373  99.95499  99.76973  99.86491 #>  [84022] 100.34939 100.21976 100.10494 100.42410  99.63935 100.07997  99.43339 #>  [84029] 100.07997 100.06998  99.82986  99.88994 100.30454 100.11493 100.05498 #>  [84036]  99.80982  99.67949 100.22475 100.10494  99.97000  99.93498 100.01000 #>  [84043] 100.27462 100.29955  99.89995 100.60318 100.30454 100.06498 100.13491 #>  [84050]  99.62931  99.52889 100.26964 100.44899 100.41912 100.08996 100.16986 #>  [84057]  99.78978 100.42908 100.24969  99.96499  99.73966  99.48869 100.18982 #>  [84064] 100.03999  99.50879  99.98500 100.49378 100.16486 100.30454 100.01500 #>  [84071] 100.11993 100.11493 100.33444  99.65942 100.27462  99.83987  99.97000 #>  [84078]  99.81483  99.91496  99.98500  99.63433  99.82986  99.87492 100.08496 #>  [84085] 100.35437 100.18982 100.27462  99.38813  99.32774  99.95999 100.39422 #>  [84092] 100.40418  99.80481 100.34441 100.15488  99.59920  99.91997 100.18483 #>  [84099]  99.62429  99.87993 100.03000 100.02500  99.92998  99.88493 100.16486 #>  [84106] 100.04499 100.50373 100.42410  99.57911  99.82485  99.81984 100.31949 #>  [84113]  99.87993 100.24470  99.48869  99.78978 100.10494 100.04499  99.65942 #>  [84120] 100.03499  99.74969 100.17485 100.11993 100.13990  99.61426  99.97000 #>  [84127] 100.17485  99.92497  99.56907  99.78477  99.86491 100.00000 100.10994 #>  [84134]  99.99500  99.98500 100.07997 100.16486  99.74969 100.24969 100.21976 #>  [84141] 100.22974 100.32946 100.47885  99.78477 100.02500 100.23971  99.46859 #>  [84148]  99.87993  99.55401  99.79980  99.53894  99.86491 100.05498  99.95999 #>  [84155]  99.93998 100.12492  99.92497 100.45397  99.75470  99.90495  99.80481 #>  [84162] 100.02000  99.68952  99.60422  99.71459 100.09495 100.17485 100.03000 #>  [84169] 100.07497  99.79479  99.94498  99.99500 100.22974 100.02500  99.81984 #>  [84176] 100.06498  99.99000  99.69453 100.03000  99.74969  99.64437 100.12492 #>  [84183] 100.02000  99.88493  99.81984 100.31451 100.24470 100.56341 100.16486 #>  [84190]  99.70958 100.20978  99.45853 100.17485  99.86491  99.51382  99.64939 #>  [84197]  99.90996  99.47864 100.05998 100.41414 100.48881  99.99000  99.82986 #>  [84204] 100.16986  99.82485  99.73465  99.62931  99.85990 100.13990  99.95999 #>  [84211]  99.65942 100.32447  99.55903  99.76472  99.93498  99.94498 100.00500 #>  [84218] 100.20978  99.56907 100.48881 100.19481 100.26465 100.41912 100.39920 #>  [84225]  99.84989 100.00000  99.68952  99.96499  99.98000 100.09495  99.89995 #>  [84232] 100.23472  99.74467 100.59324 100.47388 100.00000 100.21477 100.13990 #>  [84239] 100.25468 100.47885 100.08496  99.87993  99.73465  99.60924  99.66945 #>  [84246]  99.95999  99.82986  99.89494 100.20978 100.31949 100.11993 100.03499 #>  [84253] 100.28958  99.56907 100.31451 100.09995  99.86992 100.07997  99.94498 #>  [84260] 100.12492  99.98500  99.74467  99.75470  99.66945 100.20479 100.23472 #>  [84267] 100.33942  99.76472  99.97500  99.67949  99.49372  99.89995 100.26465 #>  [84274] 100.25966  99.57409  99.97000  99.86491 100.34441  99.39316 100.35935 #>  [84281] 100.37430  99.60422  99.79980 100.07997 100.15488  99.78978  99.91997 #>  [84288] 100.03999  99.93998  99.97000  99.79479 100.06498 100.68764  99.34787 #>  [84295]  99.96499 100.25966  99.68450  99.43842 100.25468 100.33942 100.28460 #>  [84302]  99.60924  99.54396  99.34284 100.01000  99.84989  99.93998  99.89494 #>  [84309] 100.63300 100.14989  99.67949 100.12992 100.16486  99.64437 100.03999 #>  [84316] 100.31451 100.46890  99.63433  99.34284 100.36434  99.75971 100.12492 #>  [84323] 100.55844  99.90996  99.83987  99.71961  99.45351  99.61928 100.39920 #>  [84330] 100.19481 100.12992 100.19481  99.82485 100.14490  99.93998  99.90495 #>  [84337] 100.32447  99.72963  99.76472  99.54396  99.82485 100.02500  99.91997 #>  [84344]  99.51884  99.91496  99.95999 100.47388  99.74467  99.81483 100.48881 #>  [84351]  99.95999  99.66444 100.52860 100.43904 100.45895 100.15987  99.69955 #>  [84358]  99.72963  99.85489  99.71961  99.87492  99.83486 100.49876  99.92497 #>  [84365] 100.40418 100.22475 100.09495 100.06998 100.05498  99.48869 100.15488 #>  [84372] 100.35437 100.07497 100.52363 100.02000 100.15987  99.44345 100.63797 #>  [84379]  99.59920  99.93998 100.40418 100.04499  99.66945  99.76472 100.26465 #>  [84386]  99.98500  99.66945 100.18483 100.09995 100.27961 100.02500  99.86491 #>  [84393] 100.02000  99.79980 100.50373  99.88994 100.18982  99.76472 100.29955 #>  [84400]  99.47864 100.10494  99.87993  99.70456 100.00500 100.17984  99.60924 #>  [84407]  99.78978 100.24969 100.40916 100.11493 100.63300  99.58916  99.96499 #>  [84414]  99.81483  99.85489 100.19980 100.05998  99.79980  99.80982 100.54352 #>  [84421] 100.22974 100.00500 100.00500  99.90495 100.27462  99.67447  99.73966 #>  [84428] 100.27961 100.04499 100.79683 100.15488  99.82485 100.07997  99.99500 #>  [84435]  99.82986 100.38924  99.69453 100.21976 100.03499 100.33942  99.91997 #>  [84442] 100.29955 100.03000 100.15987 100.14490 100.24470 100.03499  99.79980 #>  [84449]  99.61928  99.60924  99.58414 100.26964  99.74467  99.81483 100.20978 #>  [84456] 100.51368  99.58916 100.26964  99.92998 100.24470 100.46392  99.79980 #>  [84463] 100.23971  99.42837 100.36434  99.80982 100.09995 100.33942 100.00500 #>  [84470] 100.54850  99.86992 100.39422  99.53894 100.41414  99.38310  99.92998 #>  [84477]  99.98000  99.86491 100.20978  99.95499 100.13491  99.70456 100.02000 #>  [84484] 100.18483 100.21477  99.97000 100.35935 100.24969 100.29457 100.10994 #>  [84491]  99.91997 100.25966  99.79980  99.74969  99.71961 100.13491 100.09495 #>  [84498]  99.85990  99.99500  99.94498  99.75470 100.24969  99.82485 100.29955 #>  [84505]  99.61426  99.99000  99.82986 100.52363 100.17485 100.02000 100.17485 #>  [84512]  99.66444 100.16486 100.18483 100.14989  99.86491  99.90495  99.89494 #>  [84519] 100.39920  99.81483  99.90996 100.05998 100.04999  99.96499 100.46392 #>  [84526]  99.95999  99.77475 100.12492  99.52889 100.01500 100.37928 100.24470 #>  [84533]  99.75470  99.70958 100.12492 100.22974  99.90495 100.21477  99.82986 #>  [84540]  99.69955  99.66945  99.50879  99.71961 100.36932  99.88493  99.49372 #>  [84547]  99.98000 100.14989  99.58414  99.51382  99.81984 100.51368 100.00000 #>  [84554] 100.13990 100.04999 100.03000  99.88493  99.69955 100.01500  99.95999 #>  [84561] 100.46890 100.08996 100.09995 100.34939  99.71961 100.15987 100.18982 #>  [84568] 100.02500  99.73966 100.31949  99.88994 100.55844  99.66945  99.55903 #>  [84575] 100.07997  99.65942 100.07997  99.85489  99.77976 100.07497  99.74969 #>  [84582] 100.29457 100.19980 100.22974 100.10494 100.22475  99.70958 100.37928 #>  [84589] 100.29457  99.90996 100.31451  99.55903 100.42410 100.38426  99.91496 #>  [84596]  99.99000  99.75470  99.96499  99.81483 100.20479 100.20479  99.82485 #>  [84603]  99.49372 100.36434 100.36932  99.92998  99.96499  99.76472  99.89494 #>  [84610] 100.41912  99.47864  99.74969  99.72963  99.93998  99.81984  99.45853 #>  [84617] 100.11993  99.55401 100.11993  99.77475  99.58916 100.23971 100.19980 #>  [84624] 100.05998  99.85489 100.12992 100.18982 100.01500 100.35935  99.49874 #>  [84631]  99.68952 100.27961 100.03000 100.06998 100.12992  99.93498 100.26465 #>  [84638] 100.25966 100.09995  99.83486  99.81483  99.93998  99.98000 100.34939 #>  [84645]  99.77976 100.10494 100.37928 100.02500 100.15488  99.63433 100.16486 #>  [84652] 100.36932 100.42908  99.79980  99.86491 100.17485 100.10494  99.92998 #>  [84659] 100.53855  99.96499  99.68952  99.84488 100.27961  99.91997  99.70958 #>  [84666]  99.78978  99.97500 100.34441  99.70456  99.77475 100.32447 100.00000 #>  [84673]  99.89494  99.67949 100.23472  99.76973 100.76210  99.42334  99.67949 #>  [84680] 100.53855  99.72462 100.47885 100.08496  99.73966  99.91496 100.25468 #>  [84687] 100.11493 100.47885  99.48367  99.90996  99.86491 100.33444 100.24969 #>  [84694]  99.51884 100.30952 100.15488 100.38426 100.03000  99.52387 100.37430 #>  [84701]  99.97500  99.85990  99.98000  99.95499 100.14989  99.86491 100.04999 #>  [84708]  99.82485 100.60815  99.67447  99.93998  99.61928  99.98500 100.08496 #>  [84715]  99.91997 100.14490 100.44899 100.15488 100.13990 100.16486 100.14989 #>  [84722] 100.12492 100.02500  99.54898  99.75971  99.77976  99.79479 100.17984 #>  [84729] 100.31949  99.84488 100.36932  99.99500 100.06498  99.83987  99.99500 #>  [84736] 100.21477 100.18483 100.35437 100.45397 100.08996  99.86491 100.02000 #>  [84743] 100.17984  99.81984  99.73465 100.17485 100.05998  99.69955 100.02000 #>  [84750]  99.80982 100.55844 100.25468 100.16986 100.14989 100.29457 100.12992 #>  [84757]  99.54396 100.34441 100.40418  99.85489  99.16653  99.37807 100.07997 #>  [84764]  99.84989  99.71459  99.67949  99.49874  99.93998  99.59920  99.77976 #>  [84771]  99.81483 100.07497  99.63433 100.08996 100.12992 100.05998  99.97500 #>  [84778] 100.16986 100.11993 100.22475 100.18483 100.05498  99.97000  99.81483 #>  [84785] 100.51368  99.96499 100.45895 100.06498  99.72963  99.96499 100.04499 #>  [84792] 100.32946 100.32447 100.11993  99.84488  99.77475 100.17984 100.08496 #>  [84799]  99.87993  99.97500 100.21477 100.53358  99.85990  99.90996 100.47885 #>  [84806]  99.77475 100.32946  99.53894 100.26465  99.58414 100.08496  99.51884 #>  [84813]  99.94999 100.27961 100.18982  99.63935  99.85990  99.69955  99.35794 #>  [84820] 100.31949  99.58414 100.41912 100.14989  99.77976  99.72963 100.11993 #>  [84827]  99.90996 100.03999 100.20479 100.24470  99.83486 100.00500  99.83486 #>  [84834]  99.48367 100.39422 100.00500  99.86491  99.79479  99.67949  99.76472 #>  [84841] 100.05498 100.10494 100.41414  99.67447  99.58916 100.02000  99.97500 #>  [84848]  99.61426 100.16986 100.24470  99.84488 100.00500  99.57409  99.99000 #>  [84855] 100.37928 100.10494  99.81984 100.19980  99.84488  99.76472  99.84989 #>  [84862]  99.99500 100.03499 100.09495  99.81483 100.07997 100.11493  99.78477 #>  [84869]  99.99500 100.15987 100.23472  99.61928  99.75971 100.16486  99.80982 #>  [84876] 100.34939 100.06498 100.37928  99.80982  99.83486  99.78978  99.28243 #>  [84883] 100.40418 100.38426 100.58827  99.40322  99.78978  99.91997 100.33444 #>  [84890]  99.71961  99.73966  99.95999  99.54898  99.99000  99.54396 100.16486 #>  [84897]  99.76973  99.77976 100.21477 100.14490 100.24470 100.10994  99.41328 #>  [84904]  99.72462  99.74467 100.25966  99.82485 100.08996 100.34441 100.25966 #>  [84911] 100.14989 100.21477 100.23971  99.69453  99.98500 100.14989  99.37807 #>  [84918]  99.87993 100.04499 100.63797 100.27462  99.73465  99.72462 100.00500 #>  [84925]  99.59418  99.79479  99.91496  99.69955 100.26964 100.70253 100.35437 #>  [84932]  99.81483 100.32946 100.05998 100.35437  99.65440  99.82485 100.29955 #>  [84939]  99.93998 100.14989  99.82986 100.70750  99.61928  99.76973  99.84989 #>  [84946]  99.79980 100.14989 100.29955 100.16486  99.97500 100.27462  99.86491 #>  [84953] 100.17984  99.61928 100.37430 100.33942  99.83486 100.15987 100.24969 #>  [84960] 100.44899  99.83486 100.27961 100.03999 100.18483 100.01500 100.16986 #>  [84967] 100.09995 100.17984 100.23971  99.40825 100.44401  99.53894  99.77976 #>  [84974]  99.99000  99.92497 100.15488  99.75470 100.07997  99.87492 100.68267 #>  [84981]  99.63935  99.71459 100.15987  99.72963  99.81483 100.25966 100.14490 #>  [84988] 100.11493  99.77976  99.70456  99.55903  99.72462 100.10494  99.61928 #>  [84995] 100.01500 100.15987  99.64939 100.22475  99.78978 100.06998 100.09995 #>  [85002]  99.59920  99.90996 100.13990  99.98500 100.33444  99.52387  99.97500 #>  [85009] 100.27961  99.52387  99.69453 100.37928 100.06498  99.74969  99.66945 #>  [85016]  99.87492 100.30952 100.03499 100.12492 100.09495 100.27961  99.86491 #>  [85023]  99.89995 100.24969 100.01500  99.82485 100.10994 100.08496  99.93498 #>  [85030] 100.03000 100.64293  99.39819 100.34939  99.87993 100.07997 100.01500 #>  [85037] 100.16986 100.72735 100.03000 100.25468 100.32447  99.79479 100.41414 #>  [85044]  99.90495  99.71961 100.10494 100.12992 100.59821  99.85990 100.12492 #>  [85051] 100.26964 100.37430  99.92998 100.04999 100.13990 100.02500 100.25966 #>  [85058] 100.14989 100.05498  99.50377  99.80481 100.03999  99.68952  99.42837 #>  [85065] 100.10994 100.41912  99.55903  99.89995  99.26732 100.12492 100.29457 #>  [85072] 100.27961  99.75971 100.30952  99.91496 100.08996 100.26964  99.52387 #>  [85079]  99.40322  99.99500 100.37928  99.81483  99.82986  99.79980  99.98500 #>  [85086]  99.65942  99.75971 100.72735 100.64293  99.89995 100.26465 100.23472 #>  [85093]  99.77475 100.27961 100.38426 100.20479 100.32946 100.17485 100.22974 #>  [85100] 100.34939 100.16986  99.98000 100.26964  99.46356 100.12992 100.25468 #>  [85107] 100.30952  99.74969 100.54352 100.21477 100.27961  99.81984  99.44848 #>  [85114] 100.48383  99.74969  99.50377  99.87492 100.09495 100.30454  99.90495 #>  [85121] 100.34441 100.39422 100.57336  99.93998 100.23971 100.32447 100.09995 #>  [85128] 100.06998 100.41414 100.10994 100.33444 100.22475 100.50871  99.87492 #>  [85135] 100.51865 100.22974  99.86491 100.45397 100.19481  99.86491 100.02500 #>  [85142] 100.59821  99.88994  99.95999  99.54396  99.62429 100.19980  99.69955 #>  [85149] 100.03000  99.88493  99.50377  99.72462 100.79186  99.47864  99.82485 #>  [85156] 100.25468 100.17485 100.03000  99.80481  99.84989  99.72963 100.05998 #>  [85163]  99.57911 100.01500  99.77976 100.01500 100.22475 100.02500  99.90495 #>  [85170] 100.20978 100.13491  99.80481  99.82485 100.39920  99.84989 100.25966 #>  [85177]  99.78477 100.25966 100.25468  99.82986 100.03000  99.94498  99.93498 #>  [85184]  99.54898  99.70958 100.34441 100.01500 100.03000 100.26964 100.13990 #>  [85191] 100.20978 100.13990  99.97500  99.62931 100.01500  99.86992 100.37430 #>  [85198]  99.72963 100.13990 100.30454  99.82485 100.31949  99.85990 100.37430 #>  [85205]  99.85990 100.04499  99.94498 100.41912  99.59920  99.69453 100.34441 #>  [85212]  99.90996 100.02000  99.91496 100.04499  99.98000  99.66444 100.21976 #>  [85219]  99.31767  99.90495 100.28460 100.01500 100.08996 100.02500 100.61312 #>  [85226]  99.37807  99.92497  99.89494 100.36932 100.32946 100.19481  99.83486 #>  [85233]  99.98500 100.32447 100.11993 100.16486 100.19481  99.48869 100.40916 #>  [85240] 100.10494 100.33942 100.09495 100.06998 100.27961  99.67447  99.82986 #>  [85247] 100.42908  99.69955 100.21477 100.06498  99.94498  99.89494 100.12492 #>  [85254] 100.20978  99.61928 100.39422 100.32447  99.87492 100.38426  99.86491 #>  [85261] 100.13491 100.03000 100.14989  99.79479 100.08496  99.79980  99.95499 #>  [85268]  99.76472  99.85489  99.48869 100.39920 100.47388 100.20978  99.84488 #>  [85275] 100.07497  99.75971  99.88994 100.39920 100.36932  99.74467  99.83486 #>  [85282] 100.28958 100.18483 100.26465 100.00000 100.36434 100.14490 100.01000 #>  [85289] 100.52363  99.72462  99.97000 100.03000  99.98500 100.32946  99.78477 #>  [85296]  99.67949 100.23472  99.54898 100.24969  99.78978  99.75971  99.83987 #>  [85303]  99.98000  99.76973  99.60924 100.30454 100.03000 100.68764 100.60815 #>  [85310] 100.11493  99.62429 100.28460 100.29457 100.04499  99.80982 100.19481 #>  [85317] 100.07497 100.05998 100.41912 100.03000  99.93498 100.03499 100.12992 #>  [85324] 100.17485  99.88493 100.10494 100.00500 100.10994 100.16986 100.23971 #>  [85331]  99.83987 100.04999  99.77475  99.65942 100.19481  99.98000 100.08996 #>  [85338]  99.40322 100.22974 100.02000  99.96499  99.90996 100.00500  99.42334 #>  [85345]  99.78978  99.73465 100.06998 100.14989 100.31949 100.18483 100.68267 #>  [85352] 100.02500  99.64437  99.89995 100.14490  99.94498 100.71743 100.14490 #>  [85359]  99.93998  99.96499  99.85489  99.79980 100.33942 100.05998  99.90495 #>  [85366] 100.18982 100.06998  99.84989 100.13491 100.24969 100.10494  99.88493 #>  [85373]  99.69955  99.72963 100.05498  99.81483  99.76472  99.93498 100.00000 #>  [85380]  99.83486  99.90495 100.26465 100.33942 100.05998 100.15488  99.92998 #>  [85387] 100.55347 100.02500 100.16986 100.28958  99.90996 100.16986  99.65440 #>  [85394] 100.02500 100.43904 100.24470 100.14989  99.68450  99.73966  99.86992 #>  [85401] 100.15488 100.10994 100.05998  99.56405 100.67770 100.46890  99.73966 #>  [85408] 100.05998 100.86129  99.89995 100.03499  99.56405  99.86491  99.84488 #>  [85415]  99.72462 100.16986 100.08496  99.98500 100.06998  99.77976 100.23971 #>  [85422]  99.65942 100.02000  99.91997  99.74969  99.84488 100.47885 100.10994 #>  [85429] 100.08996  99.40825  99.89494  99.53894 100.34441  99.43339  99.63433 #>  [85436] 100.33942  99.74969 100.31949  99.56907 100.25966  99.97500 100.10994 #>  [85443] 100.59324 100.26465  99.40825 100.27462  99.92497 100.44401  99.76472 #>  [85450] 100.15987 100.39422  99.69453 100.39422  99.99000 100.00500 100.38426 #>  [85457]  99.98500  99.58414 100.13990 100.17984  99.80982  99.33781  99.75971 #>  [85464]  99.94999  99.98500 100.02000  99.85489 100.73232 100.08996  99.76472 #>  [85471] 100.05498 100.05498 100.00500 100.48881  99.87993  99.81483  99.71459 #>  [85478] 100.38924  99.94999  99.85489  99.72963  99.66444  99.86491  99.75470 #>  [85485] 100.16486 100.11493  99.81483  99.97000  99.56405 100.30952  99.54396 #>  [85492]  99.99000 100.14989 100.13990  99.92497  99.62429 100.04999  99.91496 #>  [85499] 100.03499  99.60422  99.63935 100.24470  99.75971  99.95499 100.07997 #>  [85506]  99.77976  99.78477  99.91997 100.02500 100.41414  99.86992  99.94498 #>  [85513]  99.95499  99.62931  99.99000 100.06498 100.34939 100.10994  99.93498 #>  [85520]  99.61928 100.08996  99.73465 100.01500  99.88493  99.55903 100.11493 #>  [85527]  99.82485 100.10494 100.33444  99.51884 100.30454  99.32271  99.84488 #>  [85534] 100.35437  99.97500  99.91997 100.21976 100.39422  99.84989  99.57409 #>  [85541] 100.29955 100.17485  99.63935  99.99500 100.62306  99.96499  99.81984 #>  [85548] 100.16986  99.99000 100.36434 100.28460  99.86992 100.11993 100.29457 #>  [85555]  99.60924 100.17984 100.16486 100.41414  99.38310  99.53894 100.46890 #>  [85562] 100.01000 100.15987  99.93498  99.97500 100.01500 100.71246 100.46392 #>  [85569] 100.59821  99.63433  99.63433  99.89995  99.51884  99.97000  99.80982 #>  [85576]  99.59920 100.46392  99.91997 100.11493 100.62803 100.20978 100.62306 #>  [85583]  99.51884 100.10994 100.18483  99.87993 100.16486 100.41414  99.97000 #>  [85590]  99.35291 100.08496 100.22974  99.89995  99.58414 100.15987 100.36434 #>  [85597]  99.82485 100.06498 100.16486  99.81483  99.90996  99.76472  99.68952 #>  [85604] 100.20479  99.93998 100.34939  99.87492  99.49874 100.43904 100.14989 #>  [85611] 100.01000 100.00000  99.89995 100.25468 100.03499 100.27961  99.97000 #>  [85618]  99.40322 100.01000 100.28958  99.68450  99.84488 100.03000  99.99000 #>  [85625]  99.79479 100.15488 100.28460 100.09495  99.74467 100.00500 100.01000 #>  [85632]  99.59920  99.78477 100.27462 100.03499  99.63433 100.29457  99.44848 #>  [85639]  99.71459 100.19980  99.92998  99.92497  99.94999 100.38426 100.14490 #>  [85646] 100.16986  99.91496 100.13491 100.04499 100.26964 100.27961 100.20479 #>  [85653]  99.73465  99.94498  99.93998 100.35935 100.18483 100.23971  99.90996 #>  [85660] 100.08496  99.97000 100.04499 100.38426 100.12492 100.13491 100.51368 #>  [85667]  99.79980  99.73966  99.41831  99.75470  99.85990  99.70958  99.80481 #>  [85674]  99.83987 100.30952  99.97000  99.72462  99.97000  99.64437 100.15488 #>  [85681] 100.12492 100.01000 100.27961  99.80982 100.01500  99.65440  99.95999 #>  [85688] 100.16486  99.74969  99.49372  99.79980  99.98500  99.95499  99.87993 #>  [85695]  99.31264  99.97500 100.25468 100.27961 100.15987  99.87993  99.83486 #>  [85702] 100.02000 100.01000 100.07997 100.09495  99.82986 100.12992 100.02500 #>  [85709]  99.99000 100.33942 100.16486  99.61426  99.76973 100.25468 100.07497 #>  [85716] 100.14490  99.56405 100.61809  99.40825  99.78477 100.12992  99.64939 #>  [85723] 100.37430 100.12992  99.71459 100.05498  99.92998  99.84989  99.69453 #>  [85730]  99.56405 100.11993 100.41912 100.01500 100.03000 100.27462  99.84989 #>  [85737]  99.79479 100.03499  99.73966 100.20479 100.43904  99.94999  99.94498 #>  [85744] 100.22475 100.03000  99.43339  99.86491  99.68450  99.94498 100.30952 #>  [85751] 100.19980  99.82485  99.83987  99.75470 100.17485 100.01500  99.92497 #>  [85758]  99.31767 100.16986 100.14490 100.47885  99.67447 100.43406  99.94999 #>  [85765] 100.01500 100.11493 100.48383  99.82485 100.20978  99.92497  99.61426 #>  [85772]  99.80982 100.35935  99.92497 100.37430  99.84488  99.69955 100.04499 #>  [85779] 100.00500 100.39422  99.55903 100.02000  99.72462 100.16986  99.72963 #>  [85786]  99.86491 100.23971 100.17485  99.80982  99.74467 100.01500  99.68450 #>  [85793] 100.14490  99.99500 100.24969  99.87993  99.88994  99.94999 100.09495 #>  [85800]  99.70456  99.84989  99.85489 100.35437  99.77976  99.94498  99.91496 #>  [85807] 100.03999  99.65942 100.28958 100.16486  99.68450 100.21477  99.70958 #>  [85814] 100.06998 100.37928 100.44899  99.77475  99.55401  99.70456  99.93998 #>  [85821] 100.16486  99.58916 100.32447 100.01000 100.17485 100.30952 100.16486 #>  [85828]  99.74467 100.08496 100.27462  99.74969  99.44345 100.06998  99.96499 #>  [85835] 100.00500 100.54352 100.15488 100.37928 100.07497  99.55903  99.73966 #>  [85842] 100.04999 100.04999  99.49874 100.32946  99.68952  99.77475  99.68450 #>  [85849] 100.43406 100.32946  99.63935  99.58916  99.87993  99.89995  99.71459 #>  [85856]  99.41831  99.87993 100.24470 100.43904 100.41912  99.96499 100.10494 #>  [85863]  99.58916 100.31949 100.17485 100.05998  99.61928 100.04499 100.27462 #>  [85870] 100.19980 100.52363  99.96499 100.17485  99.97000  99.99500  99.29250 #>  [85877] 100.39920  99.85990  99.69955 100.33444  99.68450  99.68450  99.57911 #>  [85884]  99.72963  99.78978  99.84488 100.53855  99.71459  99.45853 100.26465 #>  [85891] 100.38426 100.17984 100.29955  99.89995 100.22974  99.97500  99.53894 #>  [85898] 100.63300 100.33942  99.89995  99.42334  99.86491  99.80982  99.50377 #>  [85905]  99.42334 100.04999  99.79479 100.57336 100.11993  99.68450 100.04499 #>  [85912] 100.20978  99.72963 100.42410  99.71961  99.51884 100.06498 100.45895 #>  [85919]  99.95999  99.69955  99.40322 100.00500 100.05998  99.46356 100.54850 #>  [85926]  99.98500 100.16486 100.18982 100.03999  99.69955  99.69453 100.19980 #>  [85933] 100.10994  99.36800  99.72462 100.32946 100.21477 100.29955  99.82986 #>  [85940] 100.01000  99.76472  99.95499  99.88994 100.32447  99.87492  99.98000 #>  [85947] 100.35437 100.26964 100.15488 100.09995  99.85990 100.15488  99.88493 #>  [85954]  99.86992 100.08496 100.21477 100.04499 100.62803 100.25468 100.18982 #>  [85961]  99.88994  99.83987  99.90495 100.06998 100.33942  99.92998  99.81483 #>  [85968]  99.36800  99.60924  99.93498  99.69453 100.47388  99.93998  99.36800 #>  [85975] 100.04499  99.97500  99.92998 100.36434  99.93498  99.78978  99.86491 #>  [85982]  99.71459 100.24969  99.82986 100.12992  99.86992 100.32946 100.01500 #>  [85989] 100.18483 100.39422  99.60422  99.50377  99.84989  99.73465 100.11493 #>  [85996]  99.93498  99.88994 100.14989  99.95499  99.79980  99.84989  99.99500 #>  [86003]  99.54396  99.62429 100.19980  99.81984  99.92497 100.08496  99.59920 #>  [86010] 100.12992 100.01500  99.64437  99.72462 100.59324 100.06498  99.93498 #>  [86017]  99.95999 100.75713 100.05498 100.52363  99.89494  99.61426 100.22974 #>  [86024] 100.03499 100.26964 100.06998  99.92998  99.72462  99.67949 100.26964 #>  [86031]  99.86491 100.02500  99.92497 100.48881  99.83486  99.84989  99.73465 #>  [86038] 100.24470 100.40916  99.93498  99.74969  99.89494  99.65942  99.91496 #>  [86045]  99.73465  99.39819  99.59418 100.35935  99.79980  99.98000  99.46356 #>  [86052] 100.24969 100.38426  99.77976 100.10994  99.99500 100.00000  99.87492 #>  [86059] 100.25468  99.82986  99.78978  99.97500  99.96499 100.01500 100.09495 #>  [86066]  99.79980 100.28460  99.83486 100.28460  99.77976 100.39920  99.72963 #>  [86073]  99.88493  99.44848 100.08496 100.11493 100.09495 100.32946  99.98500 #>  [86080]  99.38310 100.06498 100.15488  99.74969 100.08496 100.22974  99.89995 #>  [86087]  99.94999  99.74969 100.12492  99.58414  99.94999  99.44345 100.13990 #>  [86094]  99.94498 100.47388 100.22974 100.08496 100.29457  99.77475  99.95999 #>  [86101]  99.96499  99.82986 100.25966  99.82986  99.85990  99.95499  99.77475 #>  [86108]  99.62429 100.24969  99.55903 100.02000 100.59324 100.04499 100.66280 #>  [86115] 100.24969  99.56405  99.83987 100.20479 100.19980 100.42410  99.60924 #>  [86122]  99.60422 100.40418 100.15987 100.33444  99.89995 100.08996 100.03999 #>  [86129]  99.92497 100.00000 100.33444 100.20479 100.36932 100.16986 100.05998 #>  [86136] 100.11493 100.05498 100.25468 100.68764  99.58916 100.18982 100.51368 #>  [86143] 100.11493  99.48869  99.98500 100.16986  99.53391 100.08996 100.34939 #>  [86150]  99.34284  99.77475 100.50871 100.01500  99.68952 100.01500 100.11993 #>  [86157]  99.86992  99.57911 100.34939 100.38924 100.55347  99.70958 100.25966 #>  [86164] 100.13491  99.80982 100.57336  99.58414  99.79980 100.12492 100.36932 #>  [86171] 100.63300 100.21976  99.74467 100.07497  99.75470 100.09995 100.03000 #>  [86178] 100.48881 100.02000 100.15987 100.05498 100.46392 100.46392  99.28746 #>  [86185]  99.89494 100.12492  99.87492 100.05498 100.34939  99.69453  99.87492 #>  [86192]  99.34284 100.03999  99.86992 100.46890  99.61928  99.85489 100.07497 #>  [86199] 100.08496  99.99500  99.82986 100.27462 100.13990  99.41328  99.86992 #>  [86206] 100.06498  99.82986  99.87492 100.35935 100.08496 100.22974 100.28460 #>  [86213] 100.08496  99.73465 100.43406  99.54898  99.83486  99.80481  99.79479 #>  [86220] 100.12492 100.29955 100.48881  99.98500  99.54898  99.50879  99.86491 #>  [86227] 100.06998 100.37928  99.88994 100.36434 100.38426 100.34441  99.76472 #>  [86234]  99.61426  99.63433  99.87993 100.05498 100.18483  99.88493  99.61426 #>  [86241]  99.85990 100.21477  99.83987  99.77475  99.70456 100.27462  99.93498 #>  [86248]  99.74969  99.88994 100.02000 100.21477  99.80982  99.64939  99.84989 #>  [86255]  99.97000  99.77976 100.35935 100.03499 100.14989  99.78477  99.85990 #>  [86262] 100.39920 100.17485 100.32447 100.05998  99.63935  99.88493 100.07997 #>  [86269] 100.25966  99.84989 100.02500  99.99500 100.23971 100.00500 100.13990 #>  [86276] 100.17485 100.09495 100.15987 100.23971  99.66444  99.93998  99.83486 #>  [86283] 100.38924  99.73465  99.86992  99.90996 100.12492  99.81483  99.59920 #>  [86290] 100.10494 100.12992  99.40322  99.74969  99.79479 100.45397  99.62931 #>  [86297] 100.19481 100.01500 100.16986  99.59418 100.16486 100.00500  99.84488 #>  [86304] 100.42410 100.31451 100.54352 100.33942 100.16486  99.28746 100.11993 #>  [86311]  99.99500  99.60924  99.81984  99.73966  99.37303  99.92998  99.49372 #>  [86318] 100.40916  99.97000 100.22974  99.94498 100.14989  99.78978  99.63935 #>  [86325] 100.66777 100.24969 100.00000 100.40916 100.32447 100.20479  99.83987 #>  [86332]  99.85990 100.05998  99.96499 100.00500 100.12492  99.90495 100.22974 #>  [86339] 100.02500  99.78477 100.29955  99.48869 100.37928 100.68764  99.84488 #>  [86346] 100.23472  99.98500  99.72963 100.05498  99.85990  99.53391 100.34939 #>  [86353] 100.18982  99.87492 100.05498 100.36434 100.04999 100.55844  99.98500 #>  [86360]  99.44345  99.90495 100.18982  99.65440 100.31949  99.87993 100.06498 #>  [86367]  99.74969 100.22475 100.24969 100.25966 100.02000  99.96499 100.00000 #>  [86374]  99.73465  99.85990 100.49876  99.82485 100.02000 100.11493  99.78978 #>  [86381]  99.83486  99.67949 100.29955 100.01000 100.40916  99.81483 100.31949 #>  [86388] 100.37430 100.05998 100.02000  99.92998  99.71961 100.52860  99.73465 #>  [86395] 100.04999 100.19481 100.12992  99.89995  99.94498 100.10494  99.88994 #>  [86402] 100.10494 100.17984  99.90996 100.13491 100.07497 100.21477  99.70456 #>  [86409]  99.83486  99.37807 100.02500 100.12992 100.05498 100.18483 100.19481 #>  [86416] 100.11493 100.12492  99.80982 100.11993 100.02500 100.29955  99.85990 #>  [86423]  99.92497  99.99500 100.25468  99.83486 100.57336 100.24969 100.01500 #>  [86430]  99.40322  99.94498  99.92998 100.26465 100.37928  99.76472  99.62429 #>  [86437]  99.70456  99.84989 100.09995 100.03499  99.81984 100.13990 100.68764 #>  [86444]  99.80982  99.98500  99.76973  99.69955  99.75971 100.21477 100.79683 #>  [86451] 100.32946 100.05998 100.06998 100.07497 100.35935  99.90996 100.29955 #>  [86458] 100.27462 100.46392 100.25468  99.67447  99.75971 100.05998 100.08996 #>  [86465] 100.07997 100.02500 100.08996 100.12492 100.21976 100.03000  99.98500 #>  [86472] 100.16986 100.05998  99.78477 100.24969  99.57409  99.67949  99.98500 #>  [86479] 100.22475  99.85990 100.26465 100.18483 100.02500  99.50879  99.75470 #>  [86486] 100.34441  99.93998 100.03499 100.17485  99.57409 100.49378  99.81984 #>  [86493] 100.08496 100.18982  99.74969  99.77976  99.93998 100.02000 100.45895 #>  [86500] 100.17984  99.95999 100.45895 100.33942 100.21477 100.02500 100.29955 #>  [86507] 100.08496 100.37928  99.70958  99.79479  99.76973  99.71961  99.87993 #>  [86514] 100.51865 100.16486 100.48881  99.61426  99.92998  99.53894  99.92998 #>  [86521]  99.94999  99.84488  99.92998 100.42908  99.71961  99.68952  99.80481 #>  [86528] 100.21976 100.15987  99.75971 100.22475  99.89995  99.86992 100.43406 #>  [86535] 100.45895  99.89494  99.87993 100.24470 100.19980  99.87993 100.45397 #>  [86542]  99.72462 100.04999  99.80481  99.92998  99.58916  99.95999 100.11993 #>  [86549]  99.35794 100.28460 100.27961  99.81984 100.28460  99.63433  99.68952 #>  [86556]  99.70456  99.61426 100.35935  99.90495  99.64437  99.78477  99.89494 #>  [86563]  99.67447  99.41328  99.67447  99.81483  99.68952 100.04499 100.15488 #>  [86570]  99.96499 100.10994 100.10994 100.06998 100.18483  99.62931 100.47388 #>  [86577] 100.30454 100.75217 100.07497  99.51884  99.71961  99.63433  99.85990 #>  [86584] 100.10994  99.86992 100.26964 100.11493  99.65942 100.40916  99.79980 #>  [86591]  99.76472  99.69955 100.15488  99.89494 100.03000 100.07997 100.13491 #>  [86598]  99.86491  99.73465 100.54850  99.89995 100.14989  99.72963 100.37430 #>  [86605]  99.96499 100.80675 100.51865 100.27462  99.97000 100.35935  99.98000 #>  [86612]  99.80481  99.97000  99.90495  99.85990  99.70456  99.70456  99.76973 #>  [86619] 100.04999 100.05998 100.42908 100.11493 100.41912  99.98000 100.00500 #>  [86626]  99.93498 100.20978 100.17485  99.80982 100.25966  99.73966  99.99000 #>  [86633]  99.66945  99.95499  99.92497 100.21477 100.42908  99.73465 100.07497 #>  [86640] 100.03000 100.06998 100.60318 100.33444 100.24470 100.51865 100.11493 #>  [86647]  99.48367 100.00500 100.25468 100.29955  99.42334  99.74969  99.90495 #>  [86654] 100.31451 100.53358  99.51884 100.02000  99.86491 100.82162 100.25468 #>  [86661] 100.21976  99.72963  99.59418  99.99500 100.20479 100.02500  99.76472 #>  [86668]  99.92497  99.95499 100.05498  99.76973  99.39316  99.65942  99.87492 #>  [86675] 100.37430  99.79479 100.25966  99.58414  99.68450 100.03000  99.93498 #>  [86682]  99.52387 100.13990 100.03999  99.88994 100.32447 100.22974  99.69955 #>  [86689]  99.93498  99.89995  99.79980  99.82485 100.17984  99.88493 100.13990 #>  [86696] 100.30952 100.10994  99.85990  99.68450 100.14989 100.29955  99.58414 #>  [86703] 100.01500 100.08496  99.88493 100.05498 100.30454 100.18483  99.38310 #>  [86710] 100.38426 100.20978  99.83486  99.65440  99.65942 100.20978 100.10994 #>  [86717] 100.17485 100.07497 100.08496 100.12992  99.98500  99.49874 100.57336 #>  [86724] 100.05498  99.84488 100.34441  99.71961  99.97500  99.72462  99.98500 #>  [86731] 100.36434 100.70253 100.43406 100.46392  99.83987  99.89995 100.10494 #>  [86738] 100.43904 100.05998 100.28958  99.90996 100.19481 100.26964  99.91997 #>  [86745]  99.81984  99.97500 100.43904  99.61426 100.45397 100.61312  99.94498 #>  [86752] 100.00500 100.18483 100.15987 100.21477 100.25468  99.47361 100.12492 #>  [86759] 100.31949  99.49372  99.66945  99.76973  99.93498  99.52387  99.85489 #>  [86766]  99.55401  99.72963 100.30952  99.59920  99.86491 100.01000 100.06498 #>  [86773]  99.64437 100.54352  99.57409  99.51884 100.29457 100.52363 100.33444 #>  [86780] 100.22475  99.80481  99.65440  99.60422 100.10494  99.94999 100.08496 #>  [86787]  99.88493  99.76472 100.43406  99.63935 100.06998  99.83486 100.33444 #>  [86794] 100.11493 100.16486  99.78978  99.95499 100.19980 100.01500  99.83987 #>  [86801] 100.37928 100.01500  99.22701  99.97500  99.76973  99.55903  99.70958 #>  [86808] 100.31949 100.04999 100.21477  99.60422 100.11993  99.72462  99.76973 #>  [86815] 100.18483  99.45853  99.80982  99.51884 100.12492 100.06998  99.65942 #>  [86822]  99.66444  99.54898  99.90495 100.01500 100.07497  99.72462  99.90495 #>  [86829] 100.22475  99.93998 100.55844 100.21976  99.84488 100.10994 100.38924 #>  [86836] 100.07997 100.01000 100.37430 100.13990  99.97000 100.02000  99.81483 #>  [86843]  99.86491 100.22974 100.07997 100.46890 100.11993 100.21477 100.05998 #>  [86850] 100.15987  99.69955  99.72462 100.09995  99.97000 100.27462  99.39316 #>  [86857]  99.93498 100.19980  99.86992  99.79479 100.28958 100.12492  99.56907 #>  [86864]  99.64939  99.68952 100.17485  99.55401 100.35935  99.99000 100.09495 #>  [86871] 100.16986  99.71961  99.44848 100.52860 100.27961 100.04999  99.70456 #>  [86878] 100.33444 100.03499  99.76973  99.44345  99.91496  99.57409 100.38924 #>  [86885]  99.74969 100.04499  99.72462 100.20479 100.30952  99.80982  99.76973 #>  [86892]  99.92998 100.01000 100.19980 100.44401  99.97500  99.97000  99.97000 #>  [86899] 100.22974  99.46859 100.26465 100.59821 100.24470  99.45351 100.08496 #>  [86906]  99.86992  99.77976 100.45397  99.85489  99.78978 100.03999 100.02000 #>  [86913] 100.16986  99.92497  99.67447  99.74467 100.00000 100.29955 100.60815 #>  [86920]  99.45853  99.53391 100.14989 100.12992  99.86491  99.96499  99.98000 #>  [86927]  99.68450  99.84989 100.32946 100.31451 100.03499  99.41328 100.05498 #>  [86934]  99.82485  99.85489 100.48881 100.17984  99.98000 100.42410 100.45397 #>  [86941]  99.99000  99.94498 100.32447  99.80481  99.87492 100.58330 100.06498 #>  [86948]  99.38310  99.92998  99.93998 100.03499  99.48367  99.97500 100.49378 #>  [86955]  99.80481 100.24969 100.42410  99.90495 100.22974 100.40916 100.21477 #>  [86962]  99.98500 100.00000  99.88493 100.00000 100.24470  99.57911  99.80982 #>  [86969] 100.23971 100.03000  99.97000  99.99500  99.97000 100.30454 100.02000 #>  [86976] 100.44401 100.05498 100.04999  99.76472 100.01500  99.65440  99.78978 #>  [86983] 100.00000 100.20479  99.97000  99.49874  99.91997  99.79479  99.75470 #>  [86990]  99.59418  99.87993  99.86491 100.11993  99.85990  99.97000  99.52387 #>  [86997]  99.63935  99.73966 100.28460 100.29457 100.19980 100.07997  99.74969 #>  [87004] 100.05498  99.91496 100.49876 100.49876 100.07497 100.17485 100.47885 #>  [87011]  99.62931  99.62429 100.29457 100.14490  99.88493  99.84989 100.33444 #>  [87018] 100.06498 100.18483  99.92998 100.21976 100.29955  99.55401 100.06498 #>  [87025]  99.65942  99.55401  99.91496 100.16486 100.01000 100.34441  99.88994 #>  [87032]  99.66945 100.15488  99.74969 100.02000  99.22701  99.22197  99.58916 #>  [87039] 100.23472  99.58916  99.91496 100.23971  99.93998 100.25966 100.36932 #>  [87046]  99.90495 100.19481  99.78978 100.29955 100.81171 100.00000 100.42410 #>  [87053] 100.34939 100.11993 100.11493  99.91496 100.10494  99.77475  99.51884 #>  [87060] 100.20479 100.01000 100.37928 100.06998  99.96499  99.61426 100.31451 #>  [87067]  99.61928  99.78477 100.35935  99.78477  99.80982  99.80982  99.72462 #>  [87074]  99.76472  99.94999 100.10494 100.06998 100.29457  99.99000  99.76472 #>  [87081]  99.80481 100.41414 100.21477  99.84488 100.49378  99.72462  99.35291 #>  [87088]  99.59920 100.24969 100.54352  99.94498 100.04999 100.26465 100.84146 #>  [87095]  99.78477  99.89494 100.17485  99.63433  99.64939  99.99000 100.18982 #>  [87102] 100.22974  99.92497  99.60422  99.74467  99.72963  99.81984 100.40418 #>  [87109] 100.15987 100.31949 100.19481 100.31949  99.74969 100.04499  99.73966 #>  [87116] 100.07997 100.19481 100.17485 100.40916 100.47388 100.04499 100.26964 #>  [87123] 100.14490 100.51368 100.10494 100.25468  99.59418  99.99500 100.02000 #>  [87130]  99.54898  99.83486  99.87993 100.05498  99.60924 100.55844  99.79980 #>  [87137] 100.08496  99.58916  99.42837  99.75971 100.15488  99.81483  99.55401 #>  [87144]  99.90495  99.66444  99.94999  99.94498 100.46890  99.73465 100.22974 #>  [87151]  99.72462  99.79479  99.81984  99.81483  99.78978 100.15488  99.84989 #>  [87158] 100.27961 100.02500 100.28460 100.23472 100.35437  99.91997 100.13491 #>  [87165] 100.33444  99.78477 100.02000  99.85489  99.81483  99.61928  99.70958 #>  [87172] 100.29457  99.89494  99.83486 100.02500  99.77475 100.38924 100.33444 #>  [87179] 100.05998 100.18982 100.01500  99.92497  99.89995 100.03499 100.06998 #>  [87186]  99.91997  99.97000 100.00000 100.06998  99.54898  99.40322 100.02500 #>  [87193] 100.00000  99.82485  99.98000 100.44899  99.48367  99.53391  99.66444 #>  [87200]  99.65440  99.72963  99.67447 100.01500 100.19980  99.94498  99.98500 #>  [87207] 100.34441 100.45397 100.21976  99.70958  99.55903  99.79980  99.51382 #>  [87214]  99.69955  99.87993 100.14490  99.99000  99.92497  99.46356 100.09995 #>  [87221] 100.02000  99.40825  99.95999 100.07497  99.78978 100.22974 100.19481 #>  [87228]  99.88994 100.05498  99.92998  99.71961  99.90495 100.12492  99.90495 #>  [87235]  99.62429  99.79479  99.90495  99.92497  99.91997  99.69453 100.02500 #>  [87242]  99.88994  99.81984  99.89494 100.21477 100.55844  99.89995  99.76472 #>  [87249]  99.95499 100.12492 100.03000  99.81483 100.01500 100.03999  99.94999 #>  [87256] 100.72735  99.98500  99.68952 100.23971  99.66444  99.69955 100.54850 #>  [87263] 100.19980  99.70958  99.59920  99.97500  99.98500  99.99500 100.20479 #>  [87270] 100.13491 100.13990 100.30454  99.90495  99.74969  99.73966 100.46392 #>  [87277]  99.52889  99.85990  99.68952 100.02000 100.04999  99.91496 100.36932 #>  [87284] 100.48383  99.53894 100.08496  99.74467 100.42908  99.88994  99.70958 #>  [87291] 100.11493  99.73966  99.53391  99.84989 100.23971 100.03000  99.89494 #>  [87298]  99.53391 100.24969 100.29955  99.91496  99.24717 100.17984  99.72462 #>  [87305] 100.13491  99.69955  99.49874  99.85489  99.89995  99.78477  99.97500 #>  [87312]  99.66945 100.49378 100.04999  99.80481 100.53358 100.02500 100.03000 #>  [87319] 100.55844 100.06998  99.85489 100.19481  99.95999 100.50871 100.59821 #>  [87326] 100.02500  99.66945 100.25468  99.60422  99.85489  99.89494  99.67949 #>  [87333] 100.33444 100.44899 100.59821 100.49378 100.10994  99.92998 100.45895 #>  [87340]  99.91496  99.81984 100.38426 100.30454 100.04499  99.75971  99.79479 #>  [87347] 100.38924 100.00500  99.67447 100.01000 100.28958 100.07997  99.72963 #>  [87354]  99.74467  99.75971  99.84989 100.22475 100.25966 100.07997 100.06998 #>  [87361]  99.90495 100.16986  99.69453  99.77976  99.31767 100.17984  99.91496 #>  [87368]  99.51382 100.21976  99.76472  99.39316  99.82986 100.21976  99.77475 #>  [87375]  99.87993  99.60924  99.87993  99.54898  99.89494  99.83987  99.70958 #>  [87382] 100.20479 100.32447 100.11493  99.76973  99.86491 100.12992  99.51382 #>  [87389] 100.56341 100.04999 100.91581  99.69955  99.74467  99.73966 100.68764 #>  [87396] 100.18982  99.62931 100.16486 100.15987  99.53894  99.77475 100.48383 #>  [87403]  99.86992  99.51382 100.18483  99.85990 100.18982  99.95499 100.16986 #>  [87410] 100.34441  99.47361 100.03000  99.60422  99.83987 100.18483 100.10494 #>  [87417]  99.76472 100.24969  99.98500  99.85489 100.30454 100.12492  99.90495 #>  [87424]  99.94999  99.91496  99.96499 100.37928 100.45895 100.07497  99.84488 #>  [87431] 100.06498 100.25468  99.80982 100.04499  99.69955  99.73966 100.26465 #>  [87438]  99.76472 100.39920  99.55903  99.86491 100.08996  99.61426  99.63935 #>  [87445] 100.34939 100.32447 100.08496  99.82485 100.65784  99.48367  99.93998 #>  [87452]  99.62931 100.02000  99.90495  99.79980  99.94999 100.18483  99.61426 #>  [87459]  99.63433 100.03000  99.73966 100.11493  99.89995  99.41328  99.75470 #>  [87466] 100.17485 100.26964  99.54396 100.18483  99.91496 100.09995  99.94498 #>  [87473]  99.49874 100.36932 100.11493 100.23971 100.14490  99.97000 100.46392 #>  [87480]  99.86992  99.91496  99.85489 100.02500  99.56405 100.30952  99.44345 #>  [87487] 100.18982  99.90996 100.26465 100.01500  99.81984 100.22974  99.64437 #>  [87494]  99.74969  99.41328  99.89995 100.64790  99.65440 100.10994  99.98000 #>  [87501]  99.93998  99.52387 100.39422  99.34787  99.73465  99.95999  99.89494 #>  [87508]  99.74467 100.10494 100.18483 100.46890 100.48383 100.12992 100.04999 #>  [87515] 100.33444  99.95499  99.64437 100.45397 100.21477 100.01500  99.88994 #>  [87522]  99.83987 100.18982  99.57911 100.59821 100.31451  99.78978 100.23472 #>  [87529]  99.98000 100.09995  99.93498 100.61809  99.64939 100.05998 100.06498 #>  [87536]  99.81483  99.74467 100.01000 100.05998  99.83987 100.39920  99.76472 #>  [87543] 100.24470 100.29955  99.48367 100.12492 100.06998 100.20479  99.31264 #>  [87550] 100.19980  99.57911  99.48367  99.70456 100.68764 100.16486 100.02500 #>  [87557]  99.75971 100.06998  99.91496  99.51382 100.16486  99.65942  99.69453 #>  [87564] 100.67770 100.21477 100.26465  99.64437  99.99000  99.94999 100.12492 #>  [87571] 100.00500 100.07997 100.19481 100.08996 100.29955  99.85489 100.00000 #>  [87578]  99.94999 100.02000 100.27462  99.91997  99.72462  99.55903 100.06998 #>  [87585]  99.67447  99.52387 100.21477 100.28460 100.45397 100.38924  99.72963 #>  [87592] 100.13491 100.38426 100.32447  99.90495  99.94498 100.36434 100.32447 #>  [87599]  99.79980  99.72462  99.95499 100.19481  99.65440  99.66444  99.64939 #>  [87606] 100.05498  99.90495 100.47885  99.19677  99.82485 100.13491  99.83486 #>  [87613] 100.22974  99.95999  99.77976 100.17485 100.09495  99.84488  99.51884 #>  [87620]  99.76973 100.14490  99.84488 100.05498 100.34441 100.37430  99.94999 #>  [87627] 100.27462 100.21976  99.77475 100.16986  99.76472 100.68267 100.08996 #>  [87634] 100.22475 100.20479 100.20479  99.98500 100.14989  99.30760  99.89494 #>  [87641] 100.70750 100.21477  99.76973  99.63433 100.21477 100.08996 100.47885 #>  [87648]  99.69955  99.89494 100.29955  99.76472  99.83486  99.69453  99.60422 #>  [87655] 100.01000  99.61928  99.35291  99.54898 100.23472 100.01000  99.83486 #>  [87662]  99.89995 100.50871  99.52387  99.97000  99.78477  99.93998 100.37430 #>  [87669] 100.01500 100.16486  99.64437  99.68450 100.12992  99.91496 100.59324 #>  [87676] 100.48383 100.07497 100.05998  99.68450  99.94498 100.04499  99.60924 #>  [87683]  99.71961  99.96499 100.11993 100.09995  99.76472  99.92998  99.52387 #>  [87690] 100.07497 100.26465  99.54898  99.67447  99.70456 100.12492 100.32447 #>  [87697]  99.79479  99.80481 100.03999 100.09995 100.04999 100.09995 100.06998 #>  [87704] 100.19980  99.94999 100.03000 100.10494  99.44848 100.37430 100.13491 #>  [87711] 100.02000 100.04499  99.78978  99.88493 100.23472  99.74467  99.97000 #>  [87718]  99.98000  99.70958 100.03999 100.51368  99.85489  99.88994 100.37430 #>  [87725]  99.95999  99.85489  99.96499 100.53855  99.68952  99.94999 100.58827 #>  [87732] 100.10494 100.46392 100.49378  99.71961 100.05498  99.56907  99.86491 #>  [87739] 100.52860 100.07997 100.03999 100.02000  99.91496  99.96499  99.90996 #>  [87746] 100.29457 100.26465  99.42837  99.89995 100.19481 100.17485 100.06498 #>  [87753] 100.27462  99.71961  99.94999 100.19980  99.87993 100.45895 100.36434 #>  [87760]  99.90996  99.64437 100.41912  99.55903  99.51382 100.25966 100.23971 #>  [87767] 100.18982  99.95999  99.57409 100.16986 100.47388  99.52889 100.35437 #>  [87774] 100.48383 100.02500  99.76472  99.54396  99.71961 100.44899 100.21477 #>  [87781]  99.50377 100.43904 100.23472 100.10994  99.78978 100.25468  99.53894 #>  [87788] 100.32946  99.54898 100.07497  99.95499 100.06498  99.94999  99.61426 #>  [87795] 100.12992  99.92497 100.02500 100.41912 100.04999  99.98500 100.63300 #>  [87802] 100.35437  99.74467 100.76210 100.29955 100.26465  99.64939 100.07497 #>  [87809] 100.49876 100.23472  99.69955 100.31451  99.79980  99.93998  99.54898 #>  [87816]  99.68952  99.55401 100.47885  99.95999 100.01500  99.84989  99.74467 #>  [87823]  99.76973  99.74467  99.60924 100.03499 100.46890 100.06998  99.85990 #>  [87830]  99.97000 100.11993 100.49876 100.03000 100.44401  99.92497 100.29955 #>  [87837]  99.68952 100.24969 100.08996  99.93498  99.84488  99.56907  99.76472 #>  [87844] 100.06998  99.72963  99.92497  99.68952  99.83486  99.99500  99.95499 #>  [87851] 100.12492 100.38924 100.01500  99.75971  99.58916 100.03499  99.92998 #>  [87858] 100.53358 100.03999  99.93498 100.30454 100.39920  99.55401 100.01000 #>  [87865] 100.43406  99.99500  99.80481  99.99000  99.66444 100.05498  99.91496 #>  [87872] 100.15488  99.80982 100.48383 100.02500 100.23971 100.02500  99.84989 #>  [87879]  99.39316 100.38426  99.69955  99.68952 100.26964 100.11493 100.09495 #>  [87886]  99.31767  99.39316 100.56838  99.16148 100.03000  99.67949  99.43842 #>  [87893] 100.12492 100.30952  99.42334  99.92998  99.93998  99.94999  99.89494 #>  [87900]  99.88994  99.43842  99.98000 100.39920  99.94498  99.55903 100.30454 #>  [87907]  99.47864  99.76973 100.46890 100.13990  99.62429  99.76472 100.11993 #>  [87914] 100.06998  99.88994  99.93998  99.70456  99.71459 100.47885 100.30952 #>  [87921] 100.45895  99.56907 100.06498  99.91997  99.75470  99.87492 100.14989 #>  [87928] 100.12992 100.30952  99.91496  99.84488  99.50879 100.17485  99.93498 #>  [87935] 100.28958 100.17485  99.77976 100.07997 100.26964  99.44345 100.53855 #>  [87942]  99.92998 100.32946  99.54898  99.97500  99.46859  99.34787  99.96499 #>  [87949]  99.91496 100.06498 100.19481  99.33277 100.03000  99.69955  99.64939 #>  [87956] 100.11493 100.23971 100.04999  99.72963 100.44401 100.12992  99.88994 #>  [87963]  99.66945 100.11493  99.88994  99.93498  99.71961  99.80481  99.88493 #>  [87970] 100.26964  99.89494 100.39422  99.89995  99.97000 100.30454  99.65440 #>  [87977]  99.87492 100.46392 100.28958 100.14490  99.88994  99.67447 100.31949 #>  [87984]  99.65942  99.73465 100.09995 100.35437 100.41414  99.72462 100.34939 #>  [87991] 100.10994 100.40418 100.11493  99.75971  99.63935 100.34441  99.67949 #>  [87998] 100.23472 100.49378 100.00500 100.16986  99.56405 100.28958 100.34441 #>  [88005]  99.66945 100.16486 100.20978  99.82485  99.54898 100.06998  99.92497 #>  [88012]  99.62429 100.17984  99.90996 100.10994  99.69453 100.14989 100.22974 #>  [88019]  99.61426  99.59418  99.76472 100.16986  99.93998  99.89494 100.44401 #>  [88026] 100.03999 100.03999  99.75971 100.15488 100.25468  99.58916  99.96499 #>  [88033] 100.31451  99.80982 100.10494  99.74969  99.70456  99.79479 100.26964 #>  [88040]  99.99000  99.72963  99.43842 100.57336  99.64437 100.55844  99.59418 #>  [88047]  99.81483  99.34787  99.50377  99.94498 100.19481 100.56341  99.99000 #>  [88054]  99.74467  99.74467 100.28958  99.59418 100.29457 100.42410 100.09995 #>  [88061] 100.23472  99.88493 100.24969 100.42410  99.46356  99.78978 100.04499 #>  [88068]  99.81984 100.04499 100.18483 100.54850 100.08996  99.86491 100.35437 #>  [88075]  99.72963  99.85990 100.03499  99.94999  99.98500  99.72462  99.85489 #>  [88082] 100.48881 100.06998  99.93498 100.40916  99.49372 100.10994 100.30454 #>  [88089]  99.76973 100.11493  99.72963 100.20479  99.97500 100.03999  99.88493 #>  [88096]  99.81984 100.13990 100.17984 100.92572  99.73465  99.60422 100.55347 #>  [88103] 100.02500  99.74467 100.06998 100.13990 100.41912  99.57911  99.99000 #>  [88110] 100.16486  99.69955 100.17485  99.73966 100.16486  99.58414  99.70958 #>  [88117] 100.14490 100.11493 100.03000 100.29955  99.80982  99.85489 100.10994 #>  [88124]  99.76472 100.19481 100.30952  99.87492 100.03999 100.32447 100.11993 #>  [88131]  99.94498  99.56907 100.04499  99.74969  99.69453  99.76472 100.19481 #>  [88138] 100.03000 100.03000  99.91496  99.95999  99.57911 100.43904  99.91997 #>  [88145]  99.76973 100.24470 100.09495  99.45853  99.44345  99.90495  99.53894 #>  [88152]  99.51884  99.52889 100.03499 100.48881 100.21477 100.16986 100.18982 #>  [88159] 100.05498  99.92998 100.37430 100.28460 100.33444  99.61426  99.97000 #>  [88166] 100.06998  99.88994 100.05998  99.70958  99.94498 100.48881 100.03000 #>  [88173] 100.09995  99.73966  99.87492 100.50373 100.26964 100.39920 100.22974 #>  [88180]  99.82485  99.58916 100.32946  99.67949  99.82986  99.71459  99.77475 #>  [88187]  99.54898  99.85990 100.13990  99.98500 100.25966  99.92998 100.13491 #>  [88194]  99.92497  99.66444  99.85489  99.48869  99.70456 100.24470  99.88493 #>  [88201]  99.62931 100.12492 100.03999  99.73465  99.99500  99.42837  99.87492 #>  [88208]  99.95499  99.77976  99.91997 100.18982 100.24470  99.88493  99.75971 #>  [88215] 100.02000  99.87492 100.14989  99.91997  99.56907  99.63433  99.37303 #>  [88222]  99.86491  99.61928  99.63935 100.33942  99.70958 100.08496 100.20978 #>  [88229]  99.88493 100.11493 100.04999  99.86491  99.69955 100.73728  99.69955 #>  [88236]  99.73966  99.66444 100.53358  99.51884 100.23472  99.75470  99.98000 #>  [88243]  99.69955 100.29457  99.99000 100.07497 100.08996  99.72963  99.82986 #>  [88250] 100.02500 100.04999 100.27961 100.60318 100.09995  99.91496  99.98000 #>  [88257]  99.63433  99.71961  99.70456  99.58414  99.94498  99.58414  99.85489 #>  [88264]  99.79980 100.32447  99.79980 100.16486 100.29457  99.75971 100.03499 #>  [88271] 100.01000 100.43406 100.04999  99.57911 100.09995  99.78978  99.47864 #>  [88278] 100.20978  99.87993 100.03999  99.81984 100.45895 100.45895 100.24969 #>  [88285] 100.20978  99.74467  99.86491  99.45853 100.30454 100.10994  99.84488 #>  [88292] 100.07497  99.58916  99.96499 100.14490  99.89494  99.85990 100.26465 #>  [88299]  99.86491 100.11493 100.25966 100.46392  99.95999 100.22475 100.11493 #>  [88306] 100.18982 100.21976 100.13491 100.22475  99.99000  99.78978 100.51368 #>  [88313]  99.84488  99.50879 100.18982  99.87993 100.19481  99.68952  99.85489 #>  [88320] 100.13491  99.73465 100.14989  99.54898  99.90996  99.96499  99.65440 #>  [88327]  99.73966 100.38426 100.08996  99.99500  99.91496 100.43406  99.60924 #>  [88334] 100.26964 100.24969 100.06998 100.09495 100.07497 100.55347  99.68450 #>  [88341] 100.04999  99.77475 100.46890 100.20978  99.80982  99.87993  99.79980 #>  [88348] 100.51865 100.40916  99.75470  99.65440 100.08996  99.96499 100.22475 #>  [88355]  99.75971 100.20978 100.52860  99.97500  99.61426  99.97000  99.51382 #>  [88362]  99.85990  99.92998 100.26465  99.93998  99.41328 100.35437  99.83486 #>  [88369] 100.23971 100.23971 100.00500  99.86491  99.62429 100.23971 100.14490 #>  [88376] 100.37430 100.22974 100.38426 100.68764 100.22475  99.49874  99.73966 #>  [88383]  99.80481 100.68267 100.50373 100.26964 100.04499 100.07497  99.51382 #>  [88390] 100.36932 100.28958  99.97000 100.27961 100.37430  99.43339 100.03499 #>  [88397] 100.01500  99.98000  99.63433  99.70456  99.89494 100.36434  99.73966 #>  [88404]  99.78978 100.05998 100.19980 100.05498 100.29457  99.77475  99.91997 #>  [88411]  99.83987  99.34787 100.18982 100.03999  99.97500 100.58330 100.23472 #>  [88418]  99.45853  99.72963  99.78477  99.45853 100.04499 100.14989  99.66444 #>  [88425]  99.75470 100.22974  99.95499 100.25468 100.24470  99.77976 100.46392 #>  [88432]  99.83486  99.89995  99.98000 100.29955  99.90996  99.80982 100.30952 #>  [88439] 100.20479 100.00500  99.58414 100.28460  99.77976 100.20479  99.78978 #>  [88446] 100.10994 100.25966  99.85990  99.77475 100.11493  99.82986  99.86491 #>  [88453]  99.99500 100.41912  99.79479 100.04999  99.55903 100.13990  99.85489 #>  [88460] 100.26465 100.02000 100.17485  99.69453 100.22475 100.39422  99.38310 #>  [88467] 100.15488  99.42334  99.85489  99.82986  99.87993  99.88493  99.80481 #>  [88474] 100.00000 100.33444  99.65942  99.61928  99.98000  99.51884 100.01500 #>  [88481] 100.18982 100.57833  99.74969 100.36932 100.40418 100.34939 100.40418 #>  [88488]  99.66444 100.31451 100.41912  99.88994 100.03499  99.58414 100.14989 #>  [88495] 100.34939  99.72963  99.93998 100.27462 100.33444 100.32946  99.66945 #>  [88502] 100.17485 100.30952  99.99500  99.83987 100.01500  99.54898  99.54898 #>  [88509]  99.86491 100.07997 100.53358  99.75971  99.85489 100.25468 100.01500 #>  [88516] 100.11493  99.52889 100.17485  99.84488  99.72963  99.91496  99.91496 #>  [88523] 100.26964  99.52387 100.47388  99.62429 100.00500  99.76472  99.51382 #>  [88530]  99.75971 100.02000  99.62931  99.95999 100.31949 100.00000  99.97500 #>  [88537] 100.56341 100.02000 100.40418 100.01000  99.95499 100.45895  99.90495 #>  [88544]  99.89494 100.26964 100.09495 100.52363 100.36932 100.00000 100.26465 #>  [88551] 100.10994 100.21976  99.81483  99.77475  99.81984  99.52889  99.76973 #>  [88558]  99.65440  99.76472  99.81984  99.46859  99.74467  99.96499 100.16486 #>  [88565]  99.40322  99.50377 100.08996  99.37807 100.06498 100.05498  99.40322 #>  [88572]  99.94498 100.38924 100.31451  99.87492 100.16986  99.97500 100.41912 #>  [88579]  99.98500  99.71961 100.30454 100.52860 100.22974  99.71459  99.30257 #>  [88586]  99.86491  99.60924 100.06498  99.91997  99.34787  99.76973  99.71459 #>  [88593]  99.68952  99.66945  99.85489  99.61928  99.61426  99.93498 100.03999 #>  [88600]  99.88994  99.89494  99.98000 100.03499  99.48367  99.96499  99.93998 #>  [88607]  99.85489 100.38924  99.87993  99.80481  99.60422  99.53894  99.67447 #>  [88614] 100.44401 100.01000  99.64939 100.59324  99.76973 100.03499  99.82986 #>  [88621] 100.02000  99.66945 100.31949 100.34441  99.88493 100.06998 100.18982 #>  [88628]  99.79479  99.48869 100.26465  99.98500  99.88493  99.94498  99.75971 #>  [88635] 100.35437  99.99000 100.15987 100.38426 100.12492  99.83486 100.06998 #>  [88642] 100.20978  99.95999 100.43406  99.97500 100.35935 100.59821 100.06998 #>  [88649]  99.46859  99.63433  99.98000  99.97000 100.11493 100.13990  99.77976 #>  [88656] 100.46392  99.86992 100.27462 100.01000  99.94498 100.10494  99.89995 #>  [88663]  99.79980 100.49876  99.76973  99.92497  99.94498 100.37430 100.07497 #>  [88670]  99.77976 100.24969  99.88493 100.03999 100.35935 100.03999  99.93498 #>  [88677] 100.21477 100.08996  99.84989 100.04999  99.85990 100.26465 100.51368 #>  [88684]  99.76973  99.70456  99.50377  99.71961 100.34441  99.64437 100.31949 #>  [88691] 100.39920  99.68450 100.32447  99.76472  99.84488 100.25468 100.07497 #>  [88698] 100.30952 100.10494 100.21976 100.07997  99.54396  99.92998 100.19980 #>  [88705]  99.77475 100.05998 100.07997 100.38924  99.62429 100.17485 100.36434 #>  [88712] 100.21976  99.80982 100.28460 100.07997  99.92998  99.85990  99.75971 #>  [88719]  99.73966 100.26964  99.81483  99.85990 100.71743  99.91496 100.38924 #>  [88726] 100.08496 100.41912  99.97000  99.88994  99.88493  99.87993  99.73966 #>  [88733] 100.33942 100.48383  99.75470 100.25966 100.35437 100.34441 100.02000 #>  [88740]  99.55401 100.21477 100.29955  99.90996  99.94498  99.29250  99.62429 #>  [88747]  99.82485 100.06998 100.35437  99.84989 100.28460 100.29955 100.23472 #>  [88754] 100.19980 100.10494 100.17984  99.84989 100.50373  99.91496 100.04999 #>  [88761] 100.16986 100.53855  99.68450  99.98000 100.27961  99.46859  99.77976 #>  [88768] 100.33942  99.95499  99.88994  99.78978  99.73966 100.38924 100.56341 #>  [88775] 100.22475  99.97000 100.05498 100.29457  99.71961 100.67770 100.14490 #>  [88782]  99.94498 100.09495 100.05998  99.92497  99.55401  99.93498  99.58916 #>  [88789] 100.19980  99.79479  99.84989 100.19980  99.93498 100.17485  99.38310 #>  [88796]  99.99500 100.24470  99.86992 100.03499 100.15987  99.49874  99.93498 #>  [88803]  99.52387 100.25966 100.49876 100.13491 100.19980  99.99000 100.20978 #>  [88810]  99.87492 100.08996  99.77475  99.94999 100.17984 100.32946  99.79479 #>  [88817] 100.15987  99.72963 100.02500 100.48383 100.08996 100.14490 100.26465 #>  [88824]  99.64939 100.42410 100.34441  99.50879  99.64437  99.62429  99.27739 #>  [88831] 100.32946  99.74467 100.22974  99.72963  99.55401  99.49372  99.71961 #>  [88838] 100.14490 100.03499  99.92497  99.86992  99.85489  99.98500  99.99500 #>  [88845] 100.32447 100.35935  99.50879 100.03499  99.85990 100.53855 100.39422 #>  [88852]  99.73465 100.11493  99.59418 100.01500 100.17984 100.10494  99.98000 #>  [88859]  99.84488  99.98000  99.85489  99.95999 100.21976 100.13491  99.91496 #>  [88866] 100.13491 100.46392 100.13990  99.93498 100.28460  99.56907 100.60815 #>  [88873]  99.88994  99.86992  99.65440  99.79980 100.03000 100.06998 100.23472 #>  [88880]  99.51382  99.95499 100.15488 100.41912 100.22974 100.23971 100.11493 #>  [88887] 100.41912  99.81483  99.78477  99.74969 100.33942 100.14989  99.83486 #>  [88894] 100.32946 100.01500 100.10494 100.35437  99.75971  99.87993  99.66945 #>  [88901]  99.93498  99.71961 100.60318 100.62803 100.28460 100.02500 100.05998 #>  [88908] 100.08996  99.77475 100.04499 100.24470  99.83486 100.41912  99.98500 #>  [88915] 100.16986  99.65440  99.87993  99.76973  99.89494  99.86491  99.57409 #>  [88922]  99.86992  99.84488 100.01000 100.35935 100.02000  99.81984 100.05998 #>  [88929] 100.05498 100.46890 100.14490  99.68952  99.48367 100.02500  99.93998 #>  [88936]  99.80481  99.98500  99.80982  99.63935 100.34939  99.60422  99.52889 #>  [88943]  99.88493  99.62931  99.87993 100.34441 100.41912 100.21976 100.60815 #>  [88950]  99.68952  99.79980  99.37303 100.34939  99.67447 100.11493 100.10494 #>  [88957]  99.56907 100.02500  99.77976 100.46890 100.39920  99.87993  99.42334 #>  [88964]  99.71459  99.44848  99.78978 100.52363  99.88493  99.67447  99.76973 #>  [88971] 100.35437  99.86992 100.35437 100.15987  99.82485  99.68450  99.62931 #>  [88978]  99.76973 100.12992 100.17984 100.83650 100.05498 100.12492 100.16986 #>  [88985] 100.50871 100.03000 100.11493  99.58414 100.21976  99.20181  99.45853 #>  [88992]  99.68450  99.88493  99.70456 100.04499 100.18483  99.80481 100.20978 #>  [88999]  99.81483 100.20479  99.77976  99.84989  99.80982  99.77976 100.00000 #>  [89006] 100.01000 100.15987  99.81984  99.98500 100.22475 100.01500 100.38924 #>  [89013]  99.93998 100.00500 100.03000 100.26964  99.61928  99.70456 100.39920 #>  [89020]  99.90996 100.20978  99.72462 100.52363  99.87492  99.78477  99.85489 #>  [89027]  99.81483  99.84989  99.73966 100.34939 100.30952  99.62931  99.70958 #>  [89034]  99.40825 100.10494 100.29457  99.95999 100.21976  99.62429 100.30952 #>  [89041]  99.94498 100.03999  99.75470 100.05998  99.76973  99.81984 100.12492 #>  [89048] 100.50373  99.99000 100.13491 100.02500  99.69453 100.03999 100.34441 #>  [89055]  99.86992 100.25468 100.60815  99.55401 100.36434 100.14490  99.81984 #>  [89062]  99.77475  99.90996 100.08496 100.03499 100.07997  99.92998 100.46392 #>  [89069]  99.83987 100.05498  99.53391  99.98500  99.86992  99.81984 100.35935 #>  [89076] 100.20479  99.80481  99.46356 100.60318  99.49874 100.20479  99.99000 #>  [89083] 100.60815 100.05498 100.03999 100.02500  99.91997  99.59920 100.33444 #>  [89090]  99.88994 100.28460 100.07997 100.19980 100.05498  99.84989 100.11493 #>  [89097]  99.87993 100.23472 100.27961  99.84488 100.09495 100.01000 100.41912 #>  [89104] 100.15488 100.45895 100.33444 100.30454  99.97500  99.57911  99.58414 #>  [89111] 100.05498  99.78978 100.27462 100.24969  99.70456 100.21477  99.93498 #>  [89118]  99.88994  99.69453 100.48383  99.69955  99.62931 100.21477 100.22475 #>  [89125]  99.37303  99.89995  99.94498  99.93998 100.13491  99.85489 100.00000 #>  [89132]  99.94498  99.97500 100.54352  99.68952  99.54898  99.95999  99.32774 #>  [89139]  99.72963 100.22974 100.17984  99.90996  99.97000 100.18483  99.54396 #>  [89146] 100.61312  99.87492 100.28460 100.04999 100.02000  99.82986 100.11993 #>  [89153] 100.03999  99.97500 100.48881  99.70958  99.89494  99.89995 100.50373 #>  [89160]  99.74969 100.45397  99.56405 100.33942  99.74467  99.64939 100.54850 #>  [89167] 100.08496 100.03999  99.60422  99.87993  99.83987  99.53894 100.10494 #>  [89174]  99.69955 100.04499 100.23472 100.23971 100.41414 100.14490  99.91997 #>  [89181] 100.41414 100.51368  99.81984 100.09995 100.13990 100.22974 100.02000 #>  [89188] 100.35935  99.92998  99.51884  99.71961 100.03000  99.87993 100.17485 #>  [89195]  99.89995  99.96499 100.19980  99.84989  99.76973  99.90495  99.90495 #>  [89202] 100.24969 100.56838 100.04499 100.10994 100.09495  99.82485 100.02000 #>  [89209]  99.75971 100.04999 100.05498 100.07497  99.85489 100.35935  99.71459 #>  [89216] 100.07497  99.78978  99.98500  99.98000  99.99500  99.88994  99.67447 #>  [89223] 100.34441 100.05998  99.56405 100.38426  99.69955  99.57409 100.39920 #>  [89230] 100.33444 100.05998 100.07497 100.02000 100.13491  99.79980 100.28958 #>  [89237]  99.93998  99.90996  99.41831  99.74969 100.22974  99.72462 100.19481 #>  [89244]  99.72963  99.56405  99.40322 100.13491 100.07997 100.04999 100.15488 #>  [89251]  99.50879 100.37928  99.44848 100.52860 100.05998  99.63433  99.90996 #>  [89258]  99.58916 100.14989 100.20978  99.84989  99.79980  99.48869  99.84989 #>  [89265]  99.90996  99.89494  99.77475 100.12992  99.68450 100.33444  99.76472 #>  [89272] 100.01500  99.78477  99.50377 100.34939  99.62429  99.90996  99.84989 #>  [89279]  99.60924  99.83486  99.96499 100.22974 100.47388  99.89494  99.93498 #>  [89286]  99.87993  99.87993  99.73465 100.10994  99.65942  99.62931 100.03000 #>  [89293] 100.09495 100.20479 100.07997  99.82986 100.70253  99.84488 100.59324 #>  [89300]  99.90495 100.29955 100.12992 100.03000 100.27961 100.23971  99.93498 #>  [89307]  99.64939  99.90996  99.99000  99.82986 100.32447 100.19481  99.98500 #>  [89314] 100.06498 100.06498 100.56341  99.72963 100.04999 100.41414 100.36932 #>  [89321] 100.12992  99.48367  99.95999  99.71459 100.30454 100.00500 100.22974 #>  [89328] 100.47885  99.83987 100.00000  99.95499 100.01500  99.93998 100.34939 #>  [89335]  99.90495  99.81984 100.40916  99.73465 100.15987 100.55347  99.44848 #>  [89342] 100.55844 100.40418  99.94999 100.09995  99.80982 100.25468  99.85990 #>  [89349]  99.85489 100.01000 100.50871  99.98000  99.91496  99.69453  99.99500 #>  [89356]  99.79980  99.38813 100.30454 100.00000  99.95499 100.48881  99.83486 #>  [89363] 100.12992 100.16986 100.28958  99.78477  99.57911  99.98000  99.99500 #>  [89370] 100.23472  99.46859  99.88994  99.83987  99.72963  99.86992  99.77475 #>  [89377] 100.05998  99.88493 100.33444 100.27961  99.42837 100.36932  99.59418 #>  [89384] 100.23971 100.10994 100.37928 100.11493  99.17661 100.26964 100.00500 #>  [89391]  99.68450  99.42837 100.19481  99.75971  99.90996 100.54850 100.16986 #>  [89398]  99.82485 100.28958  99.73966 100.41414  99.61928 100.24470 100.61809 #>  [89405] 100.09495  99.80481 100.35935  99.64939 100.18982 100.51865 100.17485 #>  [89412] 100.11993  99.86491 100.35437 100.04999  99.89995 100.22475  99.35291 #>  [89419] 100.06998  99.86491 100.06998 100.22974  99.68450  99.75470 100.02500 #>  [89426] 100.18982 100.48383  99.56907  99.88493  99.95999 100.23472 100.45895 #>  [89433] 100.18982  99.74969  99.61426  99.52889 100.21976 100.32447  99.71459 #>  [89440]  99.99000 100.31451  99.81984  99.95499  99.75470 100.20479  99.68952 #>  [89447] 100.78194  99.60422  99.77475  99.26732 100.00500  99.43339 100.35437 #>  [89454]  99.98500 100.39422  99.76472  99.71961  99.58414 100.29457 100.19481 #>  [89461]  99.44345  99.75470  99.75470 100.39920 100.36932  99.49874 100.14490 #>  [89468] 100.19481  99.55401 100.59324  99.79980 100.02000 100.29955  99.77976 #>  [89475] 100.12492 100.07997  99.81984  99.68450  99.79479  99.68450  99.64437 #>  [89482]  99.86491 100.21976  99.81984 100.46392 100.04499 100.55844  99.71459 #>  [89489]  99.95499 100.22475 100.35437 100.09995  99.80982  99.74467 100.07497 #>  [89496]  99.96499  99.83486 100.21976  99.72462 100.47388 100.11993 100.56341 #>  [89503] 100.50871  99.82485 100.30454  99.39819 100.10494  99.44848  99.93998 #>  [89510] 100.23971 100.06998 100.30952 100.30454  99.60924  99.77976 100.54850 #>  [89517]  99.70958  99.83486 100.02500  99.50377 100.25966 100.50373 100.17485 #>  [89524] 100.58827  99.91496 100.05498  99.33277 100.42908 100.18982  99.94498 #>  [89531] 100.31451  99.64437 100.44899  99.57911 100.47885 100.19980  99.99000 #>  [89538] 100.17485 100.08996 100.12492  99.29250 100.53855 100.41414  99.84989 #>  [89545]  99.98500 100.05498  99.99500  99.97500  99.43842  99.89494  99.79479 #>  [89552]  99.85990  99.70958 100.18982 100.10994 100.30952  99.80982 100.16486 #>  [89559]  99.90495 100.28958 100.09995  99.83486  99.45351  99.58916 100.03000 #>  [89566]  99.53391  99.97000  99.50377 100.28460 100.40418  99.95999  99.91997 #>  [89573]  99.83486  99.47361 100.60815  99.68450  99.45853 100.64790  99.37807 #>  [89580] 100.46890  99.81984  99.52387  99.82485 100.42410  99.54396 100.19980 #>  [89587]  99.67949  99.95499 100.16486 100.17485 100.28460 100.19481 100.06998 #>  [89594] 100.03499 100.20479  99.63935 100.06998  99.74467  99.93998  99.91496 #>  [89601]  99.95999  99.75971  99.91496  99.97000 100.55844 100.31949 100.45397 #>  [89608] 100.36932 100.05998 100.30952 100.10994  99.85489  99.13123  99.52889 #>  [89615] 100.00000  99.83486 100.02000  99.81984 100.05998  99.84989  99.97000 #>  [89622] 100.23472 100.03999 100.16486  99.90996 100.26964 100.03000 100.29457 #>  [89629] 100.02500 100.29457 100.15987  99.92497  99.87993  99.94498 100.19481 #>  [89636]  99.75971 100.13990 100.25468 100.34939 100.38426 100.10494 100.43904 #>  [89643]  99.91997 100.07997 100.09495 100.22475 100.80675 100.13990  99.68450 #>  [89650]  99.90996 100.04499 100.02500  99.77976  99.99000 100.09495  99.71459 #>  [89657]  99.83486  99.96499 100.13491 100.11493 100.18483 100.12492 100.31451 #>  [89664] 100.37430  99.60422 100.26964 100.42410  99.80481  99.61426  99.57911 #>  [89671]  99.82485  99.33277  99.88493  99.83486  99.54396 100.32946 100.29457 #>  [89678] 100.38924 100.36932  99.59418 100.12492  99.96499 100.59821  99.80982 #>  [89685]  99.71961 100.26465 100.31451 100.00500  99.96499 100.01000 100.06998 #>  [89692] 100.01000 100.27961  99.91997 100.23472 100.15488 100.03499  99.58916 #>  [89699]  99.79980  99.55903 100.30454 100.31451 100.31949  99.85489  99.68952 #>  [89706]  99.70456  99.60924 100.23472  99.39316 100.88112 100.23472  99.97000 #>  [89713] 100.04499  99.32271  99.80481  99.77475  99.65942  99.97500  99.54898 #>  [89720] 100.08996  99.83987 100.17485  99.94999 100.47388 100.03999 100.05998 #>  [89727] 100.27462 100.20479  99.43842  99.97500  99.55401 100.19481 100.64790 #>  [89734] 100.02500  99.58414  99.73465  99.70958 100.72239  99.74467 100.09995 #>  [89741] 100.08996  99.82485  99.78477  99.68952  99.51382 100.04499 100.35437 #>  [89748]  99.68450  99.68450  99.74969  99.81483  99.89494  99.64939 100.34939 #>  [89755] 100.24470 100.03000  99.86992  99.68450  99.70456  99.69453  99.59920 #>  [89762] 100.28460 100.00500  99.80982 100.03999  99.99000 100.06998  99.39819 #>  [89769] 100.28460 100.19980  99.75971 100.40916  99.39819  99.50879  99.81483 #>  [89776] 100.31451 100.31451 100.23971  99.74467 100.17485  99.70958  99.68450 #>  [89783]  99.89494 100.00000  99.94498 100.26964  99.85990  99.88493  99.93498 #>  [89790] 100.23971 100.25966  99.85489  99.35291  99.71961  99.68952  99.62429 #>  [89797] 100.27462 100.27462 100.36932  99.93498  99.98000 100.06498  99.86992 #>  [89804] 100.14989 100.60318 100.13491 100.07997  99.83486 100.15488 100.23472 #>  [89811]  99.94498  99.88994 100.04999 100.11493 100.18483  99.94498 100.01000 #>  [89818]  99.68952  99.88994  99.97500 100.00500  99.75470 100.08496  99.74467 #>  [89825] 100.48881 100.18483  99.57409 100.54352 100.08996  99.64437 100.53358 #>  [89832]  99.85489 100.03999  99.97000 100.17984 100.12992 100.00000 100.42410 #>  [89839] 100.19980  99.83486  99.72462  99.60422 100.39422 100.50871  99.93998 #>  [89846]  99.71459  99.93498 100.03499 100.30952 100.17984 100.00000  99.97500 #>  [89853] 100.30454 100.39920 100.13491  99.73465 100.66280 100.31451  99.98000 #>  [89860]  99.66945  99.86491  99.76973 100.16486  99.51884 100.71246  99.99500 #>  [89867]  99.87993 100.32447  99.40322  99.88994 100.03999 100.20479  99.88994 #>  [89874]  99.47361  99.59418  99.62931  99.99000 100.15987 100.14989 100.03999 #>  [89881] 100.29457 100.03999  99.77475  99.85489 100.02000 100.53855 100.03000 #>  [89888] 100.19481  99.99500 100.13990 100.33444  99.59920 100.51865 100.02000 #>  [89895] 100.34939 100.74721  99.73966 100.10494  99.73465  99.50377 100.03499 #>  [89902]  99.72963 100.35437 100.60815 100.38924  99.56405 100.27462 100.57336 #>  [89909] 100.18982 100.09495  99.69955  99.74467 100.53855  99.98000  99.81984 #>  [89916]  99.87492  99.77475 100.03999  99.57911  99.81984 100.12492  99.66945 #>  [89923] 100.06498 100.07997  99.90495 100.23971 100.31949  99.75971  99.96499 #>  [89930] 100.07997  99.84989  99.48367  99.84989 100.08496 100.00500 100.12492 #>  [89937] 100.06498  99.87993 100.05998  99.49372 100.03499 100.21976  99.78978 #>  [89944]  99.69955 100.09495  99.81483  99.90996 100.16986  99.81483 100.34441 #>  [89951]  99.65440  99.84488  99.36297  99.75971  99.77475  99.77976 100.16486 #>  [89958]  99.74467  99.44345 100.06998  99.33277 100.42410 100.25468 100.02000 #>  [89965]  99.48869  99.78477  99.61928  99.89995 100.71246  99.78978 100.31949 #>  [89972] 100.09995 100.10494 100.54352 100.23971 100.33444 100.35935 100.08496 #>  [89979]  99.22701 100.12492 100.23472 100.24470 100.35437 100.19980  99.87993 #>  [89986]  99.78477 100.02500 100.60318 100.04999 100.22974 100.08996  99.64939 #>  [89993]  99.74467 100.00500  99.84989 100.30454  99.88994 100.35437  99.92998 #>  [90000]  99.96499 100.05998  99.99000  99.56907 100.79186 100.23472  99.74467 #>  [90007]  99.93498  99.83987  99.60422  99.68952  99.67949  99.73465 100.32447 #>  [90014]  99.85990 100.20479 100.06998  99.25724 100.04999 100.02000 100.21976 #>  [90021] 100.07997 100.32447  99.74969 100.25468 100.42908  99.77976  99.92497 #>  [90028]  99.55903  99.57911  99.94999 100.14490  99.57911  99.82485 100.40916 #>  [90035]  99.99500 100.20978 100.03999  99.99000 100.19980  99.91496  99.73465 #>  [90042]  99.80481  99.82485 100.38924  99.75470 100.41414  99.74467 100.29457 #>  [90049]  99.87993  99.87993  99.84989 100.43406  99.79980 100.03000  99.43842 #>  [90056]  99.95499 100.15987  99.84488 100.12492 100.18982 100.08496 100.26964 #>  [90063] 100.20479 100.59324  99.84488  99.89494  99.80982  99.52889  99.82986 #>  [90070]  99.88493  99.95999 100.46890  99.70456 100.01500 100.25468 100.12992 #>  [90077] 100.37928  99.44848 100.16486  99.72963  99.97000 100.03499 100.44401 #>  [90084]  99.66444 100.42908  99.89494  99.50879 100.21477 100.22974 100.27961 #>  [90091]  99.99000  99.61928  99.55903 100.40418  99.99000  99.94498  99.51382 #>  [90098]  99.57911 100.18982 100.16986 100.06498  99.58916 100.09495  99.84989 #>  [90105]  99.89995  99.74467  99.95999 100.32447  99.69955  99.90996 100.45895 #>  [90112]  99.89494 100.13491 100.54352 100.20479 100.20479 100.02500 100.14989 #>  [90119] 100.18483 100.06998 100.36434 100.03999  99.77976  99.78477  99.62429 #>  [90126] 100.28958 100.17485  99.83486 100.05998 100.09495 100.03999  99.78477 #>  [90133]  99.72462 100.26964 100.12492 100.49378 100.46392 100.07997  99.88493 #>  [90140]  99.75971  99.61928  99.87993 100.20978  99.68450 100.46890 100.51368 #>  [90147]  99.77475  99.42837  99.68952  99.68450  99.95999 100.35935  99.97500 #>  [90154] 100.09995  99.71961 100.43406 100.28460  99.85489  99.40825 100.24470 #>  [90161]  99.85990 100.28460 100.17485  99.84488  99.54396  99.46859 100.32946 #>  [90168] 100.17984 100.38426 100.09995 100.10494 100.04499 100.84146  99.80481 #>  [90175] 100.13990  99.99000  99.82485 100.03999  99.74969  99.72963  99.94498 #>  [90182]  99.80982 100.15488  99.94498 100.12992 100.02000  99.28746  99.80982 #>  [90189] 100.13491  99.81984  99.68450 100.36434 100.16486  99.76973 100.44899 #>  [90196] 100.05498  99.86992 100.20978 100.47885  99.86992 100.19980  99.60924 #>  [90203] 100.22974  99.38310 100.10994  99.59418 100.18483  99.72462 100.02000 #>  [90210]  99.75971 100.27462 100.00500  99.94999  99.85990  99.76472 100.13491 #>  [90217] 100.13990  99.87993  99.46859  99.68450  99.70456  99.92497 100.18982 #>  [90224] 100.14490  99.91997 100.09995 100.46392 100.52363  99.72462  99.99000 #>  [90231] 100.29457  99.95999  99.97000  99.39819 100.62803 100.10994  99.87492 #>  [90238] 100.15987  99.34284  99.91496 100.36434  99.56907  99.90495  99.45853 #>  [90245]  99.82986  99.94498  99.87993 100.28958  99.97500 100.08996  99.67949 #>  [90252]  99.64437  99.89494  99.42334 100.18982  99.22197  99.94999  99.72462 #>  [90259] 100.15488 100.24470 100.24969 100.12992 100.56341 100.05998  99.59418 #>  [90266] 100.45397  99.87993  99.66945 100.23971  99.77976  99.92998 100.03499 #>  [90273]  99.67949  99.94498  99.98500  99.70456 100.50871 100.17485  99.58414 #>  [90280]  99.88994 100.27462  99.55903  99.92998  99.98500  99.77976  99.77475 #>  [90287]  99.91496  99.84989 100.22974 100.02500  99.67949  99.49372 100.73232 #>  [90294]  99.82986  99.78477  99.88994  99.49874 100.29457  99.84488  99.99000 #>  [90301] 100.01500 100.21976 100.24969  99.83987  99.83987  99.80481 100.02500 #>  [90308] 100.31451  99.88493 100.28460  99.85990 100.32447  99.70456  99.84488 #>  [90315]  99.86992 100.06998  99.95999  99.73966  99.72963  99.88493  99.80982 #>  [90322] 100.54850  99.84488  99.88994 100.08996  99.75470  99.81483 100.49876 #>  [90329]  99.74969 100.52363 100.08496 100.07497  99.44345  99.86992 100.33444 #>  [90336]  99.91496 100.56341  99.80982 100.52363  99.91997  99.78477  99.53894 #>  [90343]  99.92998  99.53391  99.85990 100.21976 100.45397  99.86992 100.13491 #>  [90350] 100.57833  99.72462  99.76472 100.35437  99.76472  99.94498 100.03499 #>  [90357]  99.94498 100.15987 100.21477  99.59418 100.24470 100.29955  99.80982 #>  [90364]  99.79980  99.90996  99.49372 100.09995 100.31451  99.62429  99.80982 #>  [90371] 100.17485  99.83486 100.39422 100.15987  99.97500  99.90495  99.25724 #>  [90378] 100.06998 100.14490  99.60422  99.99000  99.81984  99.73465  99.64939 #>  [90385] 100.46890  99.89494 100.46890  99.67949  99.98000  99.65440 100.32447 #>  [90392] 100.13491 100.30454  99.49372  99.77475  99.64939 100.24969 100.45397 #>  [90399] 100.04999 100.07997  99.56405 100.23971  99.97500  99.61928 100.18483 #>  [90406] 100.42410  99.95999 100.07997 100.29457 100.44899 100.48383  99.75971 #>  [90413]  99.62931  99.98000 100.07997  99.70456 100.22475  99.47361  99.77976 #>  [90420] 100.13990 100.02000  99.65942  99.33277 100.44401  99.59920  99.90996 #>  [90427]  99.66945  99.92998  99.94999 100.13990 100.31451  99.90495 100.00500 #>  [90434] 100.24470  99.79479  99.58916  99.68450 100.20479  99.71459 100.32447 #>  [90441] 100.33942 100.03000  99.90996 100.46890  99.95499  99.48367  99.98500 #>  [90448]  99.74467 100.20479  99.67949 100.20479  99.95499 100.58330 100.24470 #>  [90455]  99.94498 100.11493 100.33444  99.84488 100.54352  99.56405 100.46392 #>  [90462]  99.93498 100.04499  99.72963 100.14490  99.81483 100.54850  99.93498 #>  [90469]  99.88493 100.32447 100.17984  99.82986 100.02500 100.02500  99.98000 #>  [90476]  99.92497 100.16486  99.42837  99.71459  99.88994  99.92998 100.16486 #>  [90483]  99.64939  99.91496  99.88994 100.28460 100.54850  99.66444 100.21976 #>  [90490] 100.06998 100.33942 100.26465  99.87993 100.08496  99.71459  99.57409 #>  [90497]  99.58414  99.37807 100.07997  99.60422 100.10994  99.74969 100.28460 #>  [90504] 100.18982 100.10494  99.99000 100.39422 100.51368 100.26465 100.16486 #>  [90511]  99.91997  99.87492  99.93498 100.06498  99.86992 100.18982 100.36932 #>  [90518]  99.71459 100.20978  99.79479  99.75470  99.73465  99.99000 100.03499 #>  [90525]  99.93998 100.42908 100.47388  99.66945  99.94999  99.81483 100.09495 #>  [90532]  99.84989  99.92998 100.01000  99.76973  99.99000  99.43842 100.28460 #>  [90539] 100.09995 100.59821 100.37430  99.51884 100.58330  99.83486  99.52889 #>  [90546]  99.68450 100.48383 100.15987  99.26732  99.88493  99.42334 100.72735 #>  [90553] 100.22475 100.09495 100.34441  99.77976 100.17984  99.74969  99.90996 #>  [90560] 100.17984  99.70456  99.73465  99.88994  99.93498 100.47885  99.92998 #>  [90567]  99.67949  99.72963  99.60422 100.04499 100.12992 100.12992  99.80481 #>  [90574] 100.11993 100.31451  99.58916  99.61426 100.08496 100.37430  99.83486 #>  [90581] 100.38924  99.89494  99.83987  99.87492 100.17485 100.05498 100.13491 #>  [90588]  99.81984  99.83486 100.08496  99.70958  99.56907  99.96499 100.11493 #>  [90595]  99.85990  99.47361  99.93998 100.07497 100.22475  99.77475  99.82485 #>  [90602] 100.37430  99.34284 100.47885  99.94498  99.63935 100.19980 100.66280 #>  [90609]  99.96499  99.92998  99.98000  99.82485  99.77976 100.50871 100.24470 #>  [90616]  99.80982  99.66444 100.42908  99.91997  99.46859  99.53391 100.40916 #>  [90623]  99.95999 100.46890 100.01500 100.10494  99.85489  99.71961  99.49874 #>  [90630] 100.11493 100.30952  99.73966 100.32447  99.73465  99.85990  99.78978 #>  [90637]  99.86491 100.15987 100.42908  99.61928  99.53894  99.56907  99.86992 #>  [90644] 100.06498 100.41414 100.28460 100.07997  99.78477  99.56405  99.82485 #>  [90651]  99.56405  99.92998 100.18483  99.73465 100.43406  99.60422 100.11493 #>  [90658] 100.12492 100.12492 100.17984  99.94498 100.11993  99.68952 100.12992 #>  [90665]  99.60924 100.02000  99.68450  99.93498  99.59418 100.04999  99.97500 #>  [90672]  99.64939 100.62306 100.19980  99.79980 100.14490  99.81483 100.15488 #>  [90679] 100.14989  99.46859 100.00500  99.82986  99.63935 100.12992 100.09495 #>  [90686] 100.17485 100.10494 100.20479  99.71961 100.21976  99.98000  99.62931 #>  [90693] 100.37430 100.03000  99.81483  99.61928 100.09995  99.32271 100.15987 #>  [90700]  99.46356  99.80481  99.88994  99.98000 100.11493  99.40322  99.62429 #>  [90707]  99.55401 100.34441 100.14490  99.99000 100.14490 100.44899 100.02000 #>  [90714] 100.04499 100.63300  99.82986  99.38813 100.16486  99.99500 100.08996 #>  [90721] 100.04999 100.22974 100.06998  99.56405 100.01000  99.68952 100.39422 #>  [90728]  99.85489  99.73465  99.54898  99.99500  99.70958 100.04499  99.95999 #>  [90735]  99.41328 100.23472  99.63935 100.20978 100.01000 100.05498 100.11493 #>  [90742]  99.76973  99.70958 100.06498 100.13990  99.47864  99.74969 100.38924 #>  [90749] 100.02500  99.83987 100.08496  99.98000 100.17984  99.78978 100.11493 #>  [90756] 100.26465 100.17485  99.90996 100.14989 100.06498  99.72462  99.55401 #>  [90763] 100.07497  99.84989  99.77976  99.78978  99.98000 100.18483 100.03499 #>  [90770] 100.69260 100.24470  99.76472  99.97500 100.41912  99.41328 100.11993 #>  [90777]  99.97500  99.55401 100.06498 100.46392  99.98000  99.72462 100.17485 #>  [90784]  99.95999 100.22974 100.20978  99.91997 100.15488 100.12992  99.51382 #>  [90791] 100.29457 100.06498 100.24969 100.22475  99.59418 100.15488  99.57911 #>  [90798]  99.85489  99.99000 100.23472 100.04499  99.94999  99.76973  99.71961 #>  [90805]  99.91997  99.98000  99.44345 100.09495 100.14989 100.09995  99.76472 #>  [90812] 100.17984  99.54898  99.86491  99.99000 100.15987 100.10994  99.98000 #>  [90819]  99.53894 100.39422  99.97500  99.84488  99.95499 100.20479 100.05998 #>  [90826] 100.09495  99.98500  99.82485  99.87492 100.46392  99.78978  99.97000 #>  [90833] 100.03000 100.15987 100.00500 100.25966  99.98000 100.40418  99.63433 #>  [90840] 100.16986  99.97000  99.93998  99.67949 100.54850  99.86992 100.32946 #>  [90847]  99.55903 100.04999 100.02000  99.70456  99.50879  99.92497  99.98000 #>  [90854] 100.16486  99.50879  99.76973  99.62429  99.58916  99.88493 100.07997 #>  [90861]  99.64939 100.25468  99.89995 100.19481 100.17485 100.24470  99.82485 #>  [90868] 100.51865 100.10494 100.05498 100.23971 100.42410 100.32946 100.10494 #>  [90875] 100.47885  99.87492  99.59920 100.05498  99.90996  99.81483  99.44345 #>  [90882] 100.24969 100.22475 100.24470 100.50871  99.81984 100.25966 100.22475 #>  [90889]  99.83987 100.41414 100.10494 100.25468  99.74467 100.10994  99.69955 #>  [90896] 100.13990  99.93498 100.36932  99.59920 100.29457 100.23971 100.18982 #>  [90903]  99.95499  99.86491  99.59920  99.75971 100.03000  99.43842 100.27462 #>  [90910]  99.65942  99.75971 100.23472  99.83987 100.04999 100.22974  99.91997 #>  [90917] 100.37430 100.22974  99.83486  99.90495  99.76472 100.03000 100.05498 #>  [90924] 100.53855 100.02500 100.13491 100.22475  99.91496 100.22475  99.89494 #>  [90931] 100.23472  99.80481 100.04999  99.88994 100.16986  99.84488  99.99500 #>  [90938]  99.52889 100.14490  99.69955  99.49874  99.52387 100.54352 100.14989 #>  [90945]  99.84488  99.64939 100.03999 100.35437  99.91997 100.14490 100.48383 #>  [90952]  99.73966  99.92497 100.11993  99.92497 100.01000  99.59920 100.18483 #>  [90959]  99.66444  99.84488 100.09995  99.91997 100.22475  99.87492 100.74225 #>  [90966] 100.09495 100.26964 100.31949  99.36297  99.95999  99.67447  99.62429 #>  [90973]  99.88994  99.69453 100.03499  99.93498 100.03499 100.26964  99.91997 #>  [90980] 100.12492 100.26964  99.57911 100.05498 100.21976  99.65440  99.42837 #>  [90987]  99.86491 100.26465  99.83486  99.50377 100.44899 100.36932  99.74969 #>  [90994]  99.99000  99.82485 100.39422 100.18982  99.80481 100.45895  99.59920 #>  [91001] 100.03499 100.13990 100.10494 100.06498 100.28460  99.95499 100.01500 #>  [91008] 100.14490 100.15987 100.30454  99.89494  99.52889 100.04499  99.88493 #>  [91015] 100.07997 100.21477 100.22974 100.20978  99.74969  99.81483  99.78477 #>  [91022]  99.84989 100.24969  99.74969 100.03000 100.08996 100.05498  99.46356 #>  [91029] 100.25468 100.17984 100.14989 100.21477  99.87492  99.88493  99.29250 #>  [91036]  99.98500 100.10494  99.85489 100.13990  99.92497  99.93498  99.94498 #>  [91043] 100.15488  99.65440 100.11993  99.89494  99.87993  99.92998 100.12992 #>  [91050]  99.95999 100.05998  99.69453 100.60318 100.03000  99.82986  99.89995 #>  [91057]  99.76472  99.73465 100.01000  99.79479  99.87993 100.58330 100.46392 #>  [91064] 100.27462  99.47864  99.82485 100.29955 100.66280 100.07997 100.14989 #>  [91071]  99.65942 100.21477  99.35291  99.60924 100.43904 100.49378 100.15987 #>  [91078]  99.56907  99.82986  99.40825  99.74969 100.04499  99.66945 100.07997 #>  [91085]  99.49874  99.89995  99.81984 100.25966  99.93998  99.89995 100.43904 #>  [91092] 100.09995  99.82485  99.77976 100.60318 100.34939  99.80481  99.73465 #>  [91099] 100.43904 100.06998  99.54396 100.11993  99.76973 100.10994  99.90495 #>  [91106] 100.11493 100.17984  99.95999  99.82485  99.83486  99.74467 100.05498 #>  [91113] 100.18982  99.86491  99.69453 100.06998  99.99000  99.89494 100.19481 #>  [91120]  99.49874 100.32946  99.62931  99.77475 100.08996 100.29457 100.09995 #>  [91127]  99.92998 100.19481 100.08996  99.85489 100.51368  99.96499 100.25966 #>  [91134]  99.78477 100.33942  99.86491  99.64939  99.76472  99.52387  99.73465 #>  [91141]  99.44345 100.05498 100.48881  99.74467  99.73465 100.16986 100.10994 #>  [91148] 100.31949 100.35437 100.07997  99.97500  99.89995  99.70958 100.09495 #>  [91155]  99.83486  99.91496  99.45853  99.68952 100.14989 100.05498  99.59418 #>  [91162]  99.54898  99.87993  99.45853 100.00500  99.67949  99.93498 100.46392 #>  [91169]  99.82485  99.75971  99.14636 100.12492  99.77475 100.17485  99.68952 #>  [91176]  99.73966  99.93998  99.76973 100.08996 100.34939 100.23472  99.86491 #>  [91183]  99.96499  99.81483 100.16986 100.04499 100.30454  99.91496  99.82485 #>  [91190] 100.58330 100.09995 100.04499 100.18483  99.73465 100.15987  99.67447 #>  [91197]  99.62429 100.08496  99.85489  99.98000 100.25966 100.61809 100.53855 #>  [91204]  99.64437 100.38924  99.65440  99.96499 100.22974 100.20978  99.57911 #>  [91211]  99.81984  99.50377 100.13990 100.07997 100.23472 100.52860  99.75971 #>  [91218]  99.68450  99.87993  99.60422  99.90996  99.78477 100.05998  99.64939 #>  [91225] 100.00000  99.26228  99.97000  99.66444  99.78477 100.11493 100.18483 #>  [91232]  99.66444 100.17485 100.47388 100.48383 100.11493  99.83486 100.13491 #>  [91239]  99.84488 100.07997 100.35935  99.79980  99.92497  99.52387 100.18982 #>  [91246] 100.18982 100.44899 100.36434 100.05998  99.88994 100.84642  99.65942 #>  [91253]  99.68450 100.43904  99.86491 100.35437 100.18982 100.15987 100.24470 #>  [91260] 100.18982 100.36932  99.72963  99.65440  99.49874  99.64437 100.43904 #>  [91267] 100.20978  99.84989 100.08996  99.73966 100.11493 100.37928 100.15488 #>  [91274] 100.60318  99.98000 100.17485 100.13990  99.93498 100.25468 100.56341 #>  [91281]  99.46859 100.35437 100.15987  99.66945 100.18483 100.14490  99.96499 #>  [91288] 100.00500 100.05998  99.96499 100.26964  99.38813  99.92998  99.72462 #>  [91295] 100.11993 100.09995  99.87492 100.11993  99.83486  99.71961 100.14490 #>  [91302] 100.56341  99.94999  99.66945 100.11493  99.74969  99.79479 100.49378 #>  [91309]  99.75971 100.57833 100.14490 100.20978  99.81483  99.90495 100.03999 #>  [91316] 100.48383 100.08996 100.03999 100.17984  99.51884 100.32447  99.60422 #>  [91323]  99.84989 100.47388 100.21976 100.00500  99.60924  99.99000 100.15488 #>  [91330] 100.41414  99.54898  99.84989  99.89995 100.02500  99.69955 100.16486 #>  [91337] 100.12992  99.56405  99.72963 100.25468  99.40825  99.93498  99.86992 #>  [91344] 100.30952 100.37928 100.22475 100.22974 100.42410  99.74467 100.02500 #>  [91351]  99.67447  99.99000  99.52889  99.28243 100.21477 100.02500  99.51884 #>  [91358]  99.98000  99.74467  99.71459  99.79980  99.61928 100.10494 100.20479 #>  [91365]  99.99500 100.17485 100.09995  99.84989  99.84989 100.17984  99.92998 #>  [91372]  99.83987 100.09995  99.38310 100.16486 100.51368  99.83987  99.67949 #>  [91379] 100.37928  99.96499  99.76973 100.16486 100.02000  99.49874 100.17984 #>  [91386] 100.21976 100.13990  99.86491  99.98500 100.24470 100.13990 100.30952 #>  [91393]  99.87492  99.36297 100.49876 100.24969 100.11993  99.94999  99.81984 #>  [91400] 100.44899 100.16986  99.28746 100.41414  99.91997  99.79980  99.56405 #>  [91407] 100.19980 100.04999  99.85990  99.54396  99.97000 100.05998  99.84488 #>  [91414]  99.67949 100.48881  99.96499 100.26465 100.27961  99.83987  99.69955 #>  [91421] 100.00000  99.76973 100.20479  99.29753 100.20978 100.78194  99.94498 #>  [91428]  99.87492 100.06498 100.01000 100.47885  99.89494 100.10994 100.37928 #>  [91435]  99.98500  99.73465 100.24969  99.61426  99.34284  99.86992 100.16986 #>  [91442] 100.15488 100.36434  99.92497 100.27961 100.23472  99.77976  99.58916 #>  [91449]  99.94999 100.36932  99.66945  99.59418 100.41414  99.86992  99.51884 #>  [91456]  99.86491  99.89494  99.88493  99.84989 100.14490  99.67949 100.13491 #>  [91463] 100.29955 100.51368  99.74969  99.69955 100.19481 100.48383 100.07997 #>  [91470]  99.45351  99.91997 100.07497  99.98500  99.76973  99.82485  99.62429 #>  [91477] 100.22974 100.01500  99.95999 100.01500 100.12492  99.91997  99.91997 #>  [91484] 100.14490 100.19980  99.99000 100.58330 100.22974 100.23472  99.67949 #>  [91491]  99.99500  99.49874  99.55903  99.85489 100.06498 100.13491 100.41414 #>  [91498]  99.48869  99.91997 100.18483 100.06998  99.93998  99.88994 100.38426 #>  [91505] 100.32946 100.04499 100.03499 100.38426  99.38813  99.82485 100.01000 #>  [91512] 100.30454 100.02500 100.32946 100.00500  99.86992 100.11993 100.38924 #>  [91519] 100.52860  99.89494  99.95499  99.51382  99.81984  99.92998 100.02500 #>  [91526] 100.36932  99.61928  99.91997  99.79980  99.81984  99.78978 100.11993 #>  [91533] 100.01500 100.22974  99.80481 100.29955  99.93998  99.63935 100.28460 #>  [91540]  99.58916  99.50377 100.14490  99.89995  99.96499  99.91997 100.34441 #>  [91547]  99.81483  99.97500 100.25966  99.91997  99.44848 100.29457 100.14490 #>  [91554]  99.93998 100.32447  99.71459 100.15987 100.16486  99.58414 100.05498 #>  [91561]  99.88493  99.88493 100.26465  99.86992 100.10994 100.10994  99.91997 #>  [91568] 100.25966 100.58827 100.25966  99.35794  99.74969  99.92497 100.09495 #>  [91575]  99.52387 100.47885  99.86491  99.27739 100.49876 100.14490 100.78194 #>  [91582]  99.54396  99.67949  99.84989  99.52889  99.33781  99.97500  99.90996 #>  [91589]  99.66945 100.07997  99.97500 100.03999  99.62429  99.97000  99.97000 #>  [91596] 100.29457 100.43904  99.67447 100.08996  99.19677  99.83486 100.18982 #>  [91603]  99.75971 100.38426 100.14989 100.08496  99.60924  99.52889 100.12992 #>  [91610]  99.70958 100.12492 100.36434  99.70958  99.69955 100.25966  99.75470 #>  [91617]  99.95499  99.93498  99.78978 100.03499  99.77475  99.53894 100.17485 #>  [91624]  99.84989  99.72963 100.41414 100.18483  99.56405  99.84488 100.17984 #>  [91631]  99.67949 100.08496 100.49378 100.05498 100.22974  99.99000  99.84989 #>  [91638] 100.30952  99.74969  99.67447  99.85489  99.56405 100.12492 100.19980 #>  [91645]  99.68450 100.07497 100.28958 100.03999 100.09995  99.84488  99.71459 #>  [91652] 100.03000  99.91496  99.57911  99.37303  99.99500  99.71459  99.94498 #>  [91659] 100.13491  99.93498 100.09995 100.08996 100.46890 100.09495  99.56405 #>  [91666]  99.49874 100.14490 100.45397  99.63935  99.38310  99.88493  99.95999 #>  [91673]  99.91496 100.10494  99.39819  99.49372 100.40418  99.97500  99.85489 #>  [91680]  99.62931 100.51865  99.56907  99.95499  99.55401 100.00500 100.60815 #>  [91687]  99.48367  99.66945 100.10994  99.81483  99.80481 100.44401 100.72239 #>  [91694]  99.44345 100.13491  99.69955  99.70456 100.29457 100.08996  99.74969 #>  [91701]  99.66945 100.02000  99.85990 100.42908  99.62429  99.95999 100.02000 #>  [91708]  99.87492 100.10494  99.53894 100.28460  99.55401 100.03499  99.95499 #>  [91715] 100.43406  99.92998 100.29955 100.00500 100.45895 100.10994  99.92998 #>  [91722]  99.82986  99.78477  99.89494 100.18483  99.91997  99.76472  99.82485 #>  [91729]  99.83987  99.44848 100.29457 100.21477  99.86992  99.69955  99.46356 #>  [91736] 100.49876  99.79980 100.32946  99.80481  99.87993 100.15488 100.24969 #>  [91743] 100.51865 100.02000 100.04999  99.56907  99.86992 100.11493 100.06498 #>  [91750] 100.10494  99.64437 100.12492 100.11493  99.75470 100.08496 100.42908 #>  [91757]  99.57911 100.05498 100.55347  99.74969  99.65942 100.04999 100.15987 #>  [91764]  99.76472 100.13491 100.19980  99.95999 100.01500 100.18483 100.33942 #>  [91771] 100.16486 100.00000  99.90495  99.91997 100.22974  99.97500 100.14490 #>  [91778]  99.89995  99.88994  99.94999  99.72963  99.78477  99.53391  99.91496 #>  [91785] 100.20479  99.92998  99.67447 100.10494  99.91496  99.95499 100.18483 #>  [91792]  99.72963 100.34939 100.30952 100.16486  99.77976 100.32447  99.69453 #>  [91799]  99.84989 100.09995  99.83486 100.13491 100.02500  99.64939 100.09995 #>  [91806]  99.97500  99.64939  99.68450 100.31451  99.67447  99.37303  99.89494 #>  [91813] 100.21976 100.07997 100.15987  99.89494 100.11493 100.50871  99.84488 #>  [91820]  99.83486  99.87492  99.81984 100.21477 100.03499  99.86491 100.03499 #>  [91827] 100.14490 100.16486  99.90495 100.19481 100.29955 100.21976 100.31451 #>  [91834] 100.50871 100.01000  99.88994 100.14989 100.02000 100.69757  99.88493 #>  [91841] 100.30952 100.28460 100.45397  99.87993  99.98500  99.89995 100.20978 #>  [91848]  99.86992  99.85990 100.56341 100.52363  99.53391 100.01000 100.51368 #>  [91855] 100.28958 100.11493  99.65440 100.31949  99.80982 100.06998 100.44401 #>  [91862] 100.08496  99.98500 100.35437 100.00500 100.42410 100.08496 100.53855 #>  [91869]  99.25724 100.03000  99.81984  99.70958 100.46890 100.17485 100.11993 #>  [91876] 100.61809 100.43406  99.75971 100.30454 100.10994  99.36297  99.91997 #>  [91883] 100.09995  99.89995  99.90996 100.13990 100.02500  99.59920  99.80982 #>  [91890] 100.01500 100.12492 100.08496  99.89494 100.16486  99.75470 100.31949 #>  [91897]  99.77475 100.14490 100.51368  99.75470  99.90495 100.15488 100.15987 #>  [91904] 100.14989 100.14989 100.12492  99.28746 100.16486  99.79980 100.15488 #>  [91911] 100.58330 100.05998 100.08496  99.88994  99.74467 100.32946 100.18982 #>  [91918] 100.04499  99.88493  99.66945  99.94498  99.71961 100.36434  99.74467 #>  [91925]  99.98500 100.24969  99.62429 100.48383 100.00500  99.94498  99.99500 #>  [91932]  99.64939 100.44401  99.69453  99.92998  99.73465 100.55844  99.53894 #>  [91939] 100.05998  99.97500  99.47361 100.34441 100.15987  99.77976  99.92998 #>  [91946]  99.92998 100.41414  99.33781  99.97500 100.25966  99.44848  99.84488 #>  [91953]  99.84488 100.38426 100.24969  99.79980 100.44401 100.16486  99.98000 #>  [91960]  99.81483 100.03499  99.84989  99.93998  99.82485 100.34441  99.67949 #>  [91967]  99.92497  99.64437 100.38924 100.12992  99.79980  99.76472  99.94999 #>  [91974] 100.10994 100.06998  99.86491 100.09995  99.68952  99.86491 100.33942 #>  [91981] 100.03000 100.37928 100.29457  99.86491  99.93998 100.35935 100.18982 #>  [91988]  99.66945 100.13990  99.77976  99.71961 100.38924  99.55401 100.23472 #>  [91995] 100.03499 100.07997 100.31949  99.72462  99.61928 100.03999  99.97000 #>  [92002] 100.01500 100.16486  99.97000  99.35794  99.75971  99.66444  99.63935 #>  [92009] 100.33444 100.00000 100.20479  99.87993  99.62429 100.17984 100.13990 #>  [92016]  99.48367  99.91496 100.50373  99.93998  99.07573  99.85489 100.37928 #>  [92023]  99.70456  99.88493  99.39819  99.79980 100.04499  99.96499 100.31451 #>  [92030] 100.20479  99.90996  99.54898 100.06998 100.07997  99.82986 100.32946 #>  [92037] 100.08996  99.93998 100.50373  99.69453  99.80481  99.92497 100.06498 #>  [92044]  99.78978  99.40322  99.84989  99.90996  99.63433 100.06498  99.60422 #>  [92051] 100.35437  99.87492  99.46356 100.08496 100.09495 100.03000 100.29955 #>  [92058]  99.62931  99.90495 100.34939  99.81984 100.20479 100.42410 100.25966 #>  [92065]  99.92497 100.49378  99.75971 100.24470 100.53358  99.89494  99.75470 #>  [92072]  99.72963  99.73465  99.76472 100.24969  99.66945  99.88493 100.17984 #>  [92079]  99.76973  99.83987  99.78477 100.15488 100.48881 100.11993 100.42908 #>  [92086] 100.24470  99.99500  99.58916 100.30952  99.80982 100.53358  99.84488 #>  [92093] 100.60815 100.26465 100.00000 100.60318 100.18483 100.34939  99.92497 #>  [92100] 100.13990  99.97000  99.94498 100.13491  99.83987  99.44345  99.88994 #>  [92107]  99.93498  99.95999 100.26465 100.08496  99.96499 100.24969  99.96499 #>  [92114]  99.55903 100.16986 100.56838  99.82485  99.53894  99.71459  99.97000 #>  [92121] 100.53855 100.24470 100.23971  99.53391  99.48367 100.32447  99.79980 #>  [92128]  99.82986  99.84488  99.74969 100.11993 100.32946 100.72239 100.02500 #>  [92135]  99.79980 100.03999  99.79980  99.87993 100.17984 100.46392 100.62306 #>  [92142] 100.33444 100.15488  99.80481  99.84989 100.06998  99.86992 100.18982 #>  [92149]  99.86992  99.18165 100.28958 100.54352 100.31451 100.19481  99.83486 #>  [92156]  99.80982 100.73728 100.44401  99.98000 100.02500 100.15488  99.63433 #>  [92163]  99.71459  99.59920  99.54396 100.45397 100.50871 100.25966  99.91997 #>  [92170] 100.17485 100.21477  99.92497 100.31451  99.62429 100.44899 100.33942 #>  [92177] 100.59324  99.86491  99.67949  99.95499 100.09495  99.99000  99.66444 #>  [92184] 100.12492  99.35291 100.09495 100.38426  99.60422 100.42908  99.91997 #>  [92191]  99.98500  99.55401  99.60422  99.71961  99.93998 100.55844 100.10994 #>  [92198] 100.19481  99.61426 100.12992  99.68450  99.46859 100.22475  99.55903 #>  [92205] 100.34441 100.21477  99.69955  99.71459  99.80481 100.02500 100.44401 #>  [92212] 100.01500 100.03999  99.70958  99.63935  99.86992  99.73966  99.81984 #>  [92219] 100.13491 100.16486 100.31451 100.18483  99.99500  99.84488 100.30454 #>  [92226]  99.96499  99.93498  99.94498 100.39422 100.40916  99.74467 100.08996 #>  [92233] 100.27462 100.13990  99.93498 100.16986 100.00000  99.75470 100.02500 #>  [92240]  99.62931  99.90996  99.84488 100.03000  99.91997 100.19481 100.03999 #>  [92247] 100.41414  99.79479 100.06498  99.62429  99.54898  99.87492  99.62429 #>  [92254] 100.11493 100.06998  99.99500  99.72462 100.09495 100.32447 100.22475 #>  [92261] 100.22475 100.05998 100.20479  99.69453  99.77976  99.16148  99.34284 #>  [92268]  99.83486  99.77976 100.29955  99.98000 100.59821  99.93498  99.98500 #>  [92275] 100.04499  99.94498 100.06498 100.46392  99.59920 100.33942 100.00000 #>  [92282]  99.80982  99.72963 100.08996 100.10494  99.32774 100.51368  99.59920 #>  [92289]  99.88994 100.47388 100.23472  99.73465  99.83486 100.19481 100.37430 #>  [92296] 100.11493 100.12492 100.62306 100.28460 100.05498  99.83987 100.71743 #>  [92303]  99.85489 100.11493 100.24470  99.71961 100.03999  99.91496 100.10994 #>  [92310]  99.85489 100.12492  99.92497 100.35935  99.96499  99.86992  99.81483 #>  [92317]  99.88493 100.28958 100.03000  99.87492  99.80481 100.02500 100.14989 #>  [92324]  99.88493  99.76973  99.93998 100.08996 100.18483  99.54898 100.64790 #>  [92331]  99.92998 100.10494 100.19481 100.58827 100.26465 100.04499  99.87492 #>  [92338] 100.20479 100.21477 100.03000 100.15987  99.61426  99.95499 100.10494 #>  [92345]  99.42837  99.61928  99.85990 100.43406  99.79980 100.04999 100.34939 #>  [92352] 100.10494  99.85990  99.81984 100.22974  99.69955 100.04499 100.32946 #>  [92359]  99.50377  99.92998 100.24969  99.67949  99.90996 100.19980  99.94498 #>  [92366]  99.66945  99.92497 100.22475 100.19980  99.82485 100.03999  99.89494 #>  [92373] 100.40418  99.35794  99.98500 100.11493  99.55903  99.91997  99.76472 #>  [92380] 100.18483 100.37928 100.44401  99.88493 100.02000 100.13990 100.05998 #>  [92387]  99.63935 100.30952 100.12492  99.82485 100.08996 100.12992 100.55347 #>  [92394]  99.78978  99.77475 100.37928  99.47864 100.03499  99.48367 100.23971 #>  [92401]  99.86491 100.19980 100.05498  99.91496 100.58330  99.93498  99.64939 #>  [92408] 100.21976 100.32447 100.14989 100.17485 100.08996 100.19980  99.94498 #>  [92415] 100.06998 100.16486  99.85990 100.11993  99.78477  99.89494 100.38924 #>  [92422]  99.74467  99.89494  99.86992 100.38426 100.44401  99.91496 100.12992 #>  [92429] 100.48881 100.08496 100.42410 100.25468 100.52860 100.03000  99.57911 #>  [92436] 100.07997 100.38426 100.16486  99.85990 100.09995 100.26964 100.19980 #>  [92443]  99.85990  99.94999  99.39316 100.30952 100.29955 100.07497  99.57911 #>  [92450]  99.95999  99.65942  99.95499  99.73966  99.94498  99.78477 100.28460 #>  [92457] 100.14490  99.99500  99.82986 100.03999 100.18982 100.22475  99.79479 #>  [92464] 100.24969  99.59418  99.91496 100.35935 100.13491  99.56907  99.80982 #>  [92471] 100.77202 100.42410  99.36800  99.70456  99.95999 100.25966 100.14490 #>  [92478]  99.74467 100.49378 100.03499  99.79980 100.31451  99.66945 100.55347 #>  [92485] 100.05998 100.35935 100.12992  99.67949 100.01500  99.53894  99.92497 #>  [92492] 100.02000 100.48383  99.86992  99.59418  99.68450  99.94498 100.46890 #>  [92499] 100.12492 100.12992 100.09495 100.27462 100.10494  99.94498 100.10494 #>  [92506] 100.38924 100.21477  99.76472  99.92998 100.53358  99.93998 100.52363 #>  [92513]  99.99500 100.08996  99.38813  99.80481 100.07497 100.03499 100.12992 #>  [92520] 100.17984  99.65942 100.22475  99.75971  99.41328 100.18483  99.57409 #>  [92527]  99.73465 100.12492 100.25966 100.04499  99.94999 100.21477  99.27739 #>  [92534] 100.02500 100.16986 100.04999 100.37928  99.93498  99.94999 100.43904 #>  [92541] 100.11493 100.62803  99.49372  99.70456 100.44899 100.34441  99.83486 #>  [92548] 100.23472  99.36297 100.41414  99.87492 100.14490 100.43904  99.62931 #>  [92555] 100.43406 100.06998 100.12492  99.86491  99.57409 100.35935  99.82986 #>  [92562]  99.94999  99.99000 100.08996 100.00500 100.00000  99.78978 100.17485 #>  [92569] 100.25966  99.52387 100.36932  99.96499 100.12492 100.60815  99.58916 #>  [92576]  99.83486  99.95499 100.00000 100.30454 100.26964  99.94498 100.06998 #>  [92583]  99.39819  99.88994  99.65942 100.01000 100.34441 100.53358  99.65440 #>  [92590]  99.99000 100.04499 100.37430  99.95999  99.83987  99.66945 100.09495 #>  [92597] 100.40418 100.02500  99.75971 100.09495 100.22475  99.75470 100.09495 #>  [92604] 100.28958 100.09495 100.36434 100.23472  99.56405  99.98000 100.44401 #>  [92611]  99.89995 100.60815  99.73966  99.67447  99.72963  99.65942  99.77976 #>  [92618]  99.57911 100.47885  99.89494  99.91997  99.75971  99.80481  99.53894 #>  [92625]  99.73966 100.12492  99.78477 100.38426 100.11993  99.69955 100.36932 #>  [92632]  99.86992 100.05498 100.06998 100.26465 100.35935  99.80982 100.36932 #>  [92639]  99.52889  99.59418 100.31949 100.05498 100.45895 100.11993 100.31949 #>  [92646] 100.17984 100.03000  99.60422  99.87492  99.82485 100.14490  99.92998 #>  [92653] 100.41912  99.82485 100.14490  99.79980  99.73966 100.20479 100.06498 #>  [92660]  99.71961  99.64437 100.13491  99.92998 100.03000 100.11493 100.18982 #>  [92667] 100.06998 100.23472 100.23971 100.16486  99.86992 100.27961 100.14490 #>  [92674] 100.47388 100.02000 100.32946 100.61809  99.94498  99.88994 100.09495 #>  [92681] 100.27961  99.34284 100.45397  99.72462 100.20479  99.79980  99.95499 #>  [92688]  99.85489 100.27961  99.88493 100.28460  99.75470  99.69453  99.92998 #>  [92695]  99.82485 100.36434  99.91496  99.76472  99.96499  99.86491  99.98000 #>  [92702]  99.78477 100.29955 100.13491 100.42410  99.92998 100.60318 100.05498 #>  [92709] 100.40418  99.46356  99.85489  99.95999 100.42410  99.57409 100.02000 #>  [92716] 100.50871 100.12492  99.78978 100.24969  99.48367  99.49874  99.60422 #>  [92723] 100.05498  99.82986  99.63935  99.65942  99.82986 100.16986  99.64939 #>  [92730] 100.45895 100.28460 100.17485 100.27961  99.69453  99.75971  99.67949 #>  [92737]  99.78978  99.48367  99.77475 100.18982 100.12492  99.68450  99.45351 #>  [92744] 100.06498 100.06998 100.00500 100.43406  99.70456 100.08996 100.17984 #>  [92751]  99.85990 100.10994  99.57911 100.15488  99.89494  99.67949  99.84488 #>  [92758] 100.26465 100.33444 100.06498 100.29955  99.72963  99.81984  99.92998 #>  [92765] 100.72735 100.05998  99.36297  99.72963 100.07497  99.68450  99.87492 #>  [92772]  99.79980 100.88112 100.70253  99.65942  99.86491 100.07997  99.60924 #>  [92779]  99.97000 100.39422 100.25468 100.17485  99.79479  99.92998  99.63935 #>  [92786] 100.31949  99.60422 100.23971  99.98000  99.97500 100.18982 100.22475 #>  [92793]  99.77976  99.92497  99.91997 100.08996 100.04499 100.10994 100.36932 #>  [92800] 100.07497 100.13990 100.10994  99.70456  99.97000 100.04999  99.98500 #>  [92807]  99.62931  99.41831 100.01500  99.59920 100.15488  99.80481 100.21976 #>  [92814] 100.12992 100.42410  99.83987  99.87993  99.28746  99.70958  99.97500 #>  [92821] 100.03000  99.75971  99.90495 100.08996 100.13491 100.07997 100.17984 #>  [92828]  99.91496  99.92998 100.05498  99.87993 100.10494  99.86491 100.13990 #>  [92835] 100.02500 100.12992 100.03499 100.20479  99.53894  99.61928  99.81483 #>  [92842]  99.73966 100.58330  99.77976 100.26465 100.24969 100.36434  99.95499 #>  [92849]  99.99000  99.79479  99.94498  99.99000 100.43406 100.03999 100.05998 #>  [92856]  99.91496  99.99500 100.13990 100.10994 100.18982 100.46890  99.82986 #>  [92863] 100.02500 100.09495  99.62931 100.27462  99.97000  99.25724  99.77475 #>  [92870] 100.43904  99.70958  99.69955  99.56405  99.84488  99.57911  99.75971 #>  [92877]  99.84989 100.22974 100.06498 100.44401  99.91997 100.25468  99.87492 #>  [92884] 100.17485  99.54396  99.53894  99.95999  99.86491  99.85489 100.54850 #>  [92891] 100.30454 100.03999  99.72462  99.63433 100.53855  99.84488  99.63433 #>  [92898] 100.21477  99.83987 100.44401  99.91997  99.90996  99.74969 100.64790 #>  [92905] 100.30454 100.40916  99.81483 100.13990 100.21477 100.38426  99.75971 #>  [92912]  99.77976  99.77976 100.09495  99.44345 100.07997  99.74969  99.72963 #>  [92919]  99.70456  99.82986  99.88493 100.16986 100.05998 100.14989 100.21477 #>  [92926]  99.62429  99.83486  99.65440  99.83987 100.18483 100.09495  99.80982 #>  [92933]  99.79479  99.90495 100.22475  99.83486 100.10994  99.78477  99.95499 #>  [92940] 100.13491 100.01500  99.99000 100.05498  99.80481 100.06498  99.70456 #>  [92947] 100.06998  99.73966 100.21477 100.01500 100.13990 100.41912 100.26465 #>  [92954] 100.03499 100.39920  99.73966 100.23971  99.95999  99.83987 100.00500 #>  [92961]  99.65440  99.30760  99.94498 100.18483  99.68952  99.85990 100.17984 #>  [92968] 100.19481 100.28958  99.80982  99.93498 100.11493 100.22974  99.71961 #>  [92975] 100.22475 100.36434 100.36434  99.63935 100.01000 100.00000 100.46890 #>  [92982] 100.14989  99.89995 100.14989 100.41912 100.26465  99.65440  99.39819 #>  [92989]  99.87993  99.64939 100.71743  99.95499 100.12992 100.13491  99.78477 #>  [92996]  99.95999 100.00000  99.69955  99.61928  99.92497 100.05498 100.27961 #>  [93003]  99.94999 100.08496 100.16986  99.76973 100.19980 100.03999 100.12992 #>  [93010] 100.01000 100.25966 100.01000 100.10494  99.96499 100.12992  99.66444 #>  [93017]  99.89995  99.79479  99.86491  99.84488 100.09495  99.99000  99.63935 #>  [93024] 100.35935  99.47864 100.42908  99.45351 100.30454  99.50879  99.73966 #>  [93031] 100.08996  99.95499  99.92998  99.17157 100.05498 100.00500 100.14989 #>  [93038] 100.00500 100.37928  99.46356 100.07997 100.27961  99.86992 100.39920 #>  [93045] 100.50871 100.31949 100.11993  99.64437 100.03999  99.93498 100.23472 #>  [93052]  99.57409 100.30454  99.82485  99.74467 100.04999 100.19980 100.11493 #>  [93059]  99.33277  99.56907 100.25468 100.48383 100.08996  99.60924 100.09495 #>  [93066]  99.75971  99.73465  99.81483  99.99500  99.35291 100.17485 100.41912 #>  [93073] 100.10994 100.35437 100.22974  99.60924 100.15488  99.96499 100.03000 #>  [93080] 100.12992  99.41328  99.61928 100.08496 100.17485  99.80481 100.16486 #>  [93087] 100.19481  99.78978  99.55401 100.12992 100.14490 100.42410 100.05998 #>  [93094] 100.33942 100.10494 100.25966  99.98000 100.17984 100.09495  99.75470 #>  [93101] 100.37928 100.00500 100.32946 100.25966 100.17485  99.44345 100.23971 #>  [93108]  99.66945  99.83987  99.64939  99.98500  99.90996 100.13491  99.86992 #>  [93115]  99.99000 100.01000 100.36932  99.98000  99.65942 100.00000 100.01500 #>  [93122] 100.74721 100.15987  99.88493 100.41912  99.87993 100.26964 100.28460 #>  [93129] 100.10994  99.94999  99.98500 100.56838  99.52387 100.29955 100.30454 #>  [93136] 100.05498  99.53391 100.28460  99.67949 100.65287 100.08496 100.26964 #>  [93143]  99.95499 100.03000  99.62429 100.31451  99.72462  99.76472 100.11993 #>  [93150] 100.23971 100.52860 100.24969  99.32271 100.40418  99.53391  99.94999 #>  [93157] 100.14989  99.71459 100.30454  99.75971  99.87993 100.01500 100.07997 #>  [93164] 100.12992 100.47388  99.44345  99.85990  99.70456  99.45351  99.83486 #>  [93171] 100.09995 100.00000 100.52860 100.30454 100.45895  99.80982  99.90996 #>  [93178] 100.29457 100.22974 100.34441 100.37928  99.63433 100.66777  99.76472 #>  [93185] 100.00500 100.13990 100.09995 100.11493 100.09995  99.65440 100.25966 #>  [93192] 100.10994  99.42334  99.96499  99.84488  99.95999 100.01000 100.21477 #>  [93199] 100.29457 100.19980  99.22197  99.92497 100.26465 100.34441 100.34441 #>  [93206] 100.07997 100.51368  99.64939  99.79479  99.74467  99.70958 100.39422 #>  [93213] 100.19481 100.15987  99.83987  99.45351 100.08996 100.35935  99.40825 #>  [93220] 100.16986 100.03999  99.97500 100.18483  99.86992  99.57911 100.53855 #>  [93227] 100.10494  99.91496 100.33444  99.42837 100.16986 100.64790 100.04499 #>  [93234]  99.47361 100.06998  99.98500  99.82986  99.88493  99.57911  99.78477 #>  [93241]  99.92497 100.27961 100.06998  99.64437  99.88493  99.72963  99.92497 #>  [93248]  99.65440  99.85489 100.42908 100.18982 100.03000  99.91496  99.85489 #>  [93255]  99.51884  99.81984 100.29955 100.14989 100.11493 100.18982 100.36932 #>  [93262]  99.68450  99.81483  99.76973 100.42410 100.07997 100.14490 100.39422 #>  [93269]  99.47361 100.35935 100.16986  99.54898 100.14989 100.01500  99.62931 #>  [93276] 100.57833  99.87492  99.85489  99.84488  99.50879  99.79980  99.98000 #>  [93283]  99.63935 100.26465  99.83987 100.43904  99.65440  99.36297  99.94498 #>  [93290] 100.44899 100.02500  99.87993  99.64939 100.50373  99.74969  99.54898 #>  [93297] 100.49378 100.13990  99.91496 100.20479 100.34441 100.49378 100.56341 #>  [93304]  99.99500 100.25468 100.43904  99.61928 100.52860  99.78477  99.73966 #>  [93311] 100.12992 100.21976 100.08996 100.20978  99.92998  99.80982 100.16486 #>  [93318]  99.69955  99.72462  99.77976  99.92998 100.08496 100.32946 100.41912 #>  [93325] 100.12992  99.63433  99.93998 100.06998 100.01500  99.93998 100.36434 #>  [93332] 100.05998 100.06498 100.35437  99.93998  99.72963  99.62429  99.91997 #>  [93339]  99.93498 100.33942  99.38310  99.88994 100.25468 100.09995  99.65942 #>  [93346]  99.83987  99.86491  99.95999  99.91997 100.06498 100.11993 100.45895 #>  [93353] 100.21477 100.22475 100.06498  99.78978  99.68952 100.38924  99.68450 #>  [93360]  99.65942 100.58827  99.77976 100.44401  99.88493  99.94498  99.91997 #>  [93367] 100.15987  99.97000  99.80982  99.80481  99.84488  99.71459  99.73465 #>  [93374] 100.23971  99.82986 100.35437 100.36932  99.68952  99.85990 100.34441 #>  [93381]  99.78477  99.89494 100.55844  99.94999 100.13491 100.13990  99.67447 #>  [93388] 100.24969  99.94498  99.98000  99.93498 100.13491 100.04999 100.26465 #>  [93395] 100.18483  99.80481  99.81483  99.49874 100.44899 100.44401 100.04999 #>  [93402] 100.05998  99.87492 100.28460  99.99500  99.77976 100.34939 100.25468 #>  [93409]  99.72462  99.67949  99.79479  99.82485  99.78477 100.09995  99.89494 #>  [93416] 100.07497  99.73465 100.21976 100.37928 100.30952  99.80481  99.55401 #>  [93423] 100.12492  99.67447 100.31949  99.88994 100.25468 100.12492  99.90996 #>  [93430] 100.61809  99.99000  99.90495  99.71961 100.28460  99.46859  99.92497 #>  [93437]  99.88493  99.52889  99.80982  99.62429 100.15488 100.33942  99.76472 #>  [93444] 100.36932 100.29457  99.70958 100.08496  99.77976  99.71961  99.75971 #>  [93451] 100.19481 100.52363 100.34939 100.30952 100.02500  99.88493 100.12492 #>  [93458]  99.72963  99.86491 100.54850  99.91496  99.96499  99.84989  99.72963 #>  [93465] 100.22974  99.44848 100.42410 100.42908 100.13990 100.33942 100.28958 #>  [93472] 100.06998  99.66444  99.69955 100.20978  99.86992 100.52860  99.65440 #>  [93479] 100.50373  99.95499  99.90495  99.63935 100.27462 100.12992 100.00500 #>  [93486]  99.95499  99.64437  99.93998 100.21976  99.79479  99.80481  99.29250 #>  [93493]  99.69453  99.93998 100.06998  99.58916  99.51884  99.89494 100.46890 #>  [93500] 100.22974 100.00500  99.97500 100.07997  99.84989 100.01000 100.01500 #>  [93507]  99.76973  99.98000  99.67447 100.16986  99.97500 100.21976  99.91496 #>  [93514]  99.88493  99.71459 100.04499  99.98500 100.13990  99.88493  99.89494 #>  [93521] 100.14490  99.97500 100.03499 100.48881  99.96499 100.02000  99.83486 #>  [93528]  99.65942  99.78978  99.90996  99.87492  99.95499  99.86491 100.29457 #>  [93535]  99.92497  99.24717  99.88493 100.03499  99.83486  99.96499 100.00000 #>  [93542] 100.46890 100.04999  99.92497 100.16486  99.84488  99.82485  99.26228 #>  [93549] 100.33444 100.35935  99.64437  99.30257  99.88994 100.38924 100.01500 #>  [93556] 100.22974  99.55401  99.89995 100.45895  99.95999  99.86491 100.11993 #>  [93563] 100.17984 100.29955 100.00500 100.14989  99.77475 100.14490 100.25966 #>  [93570] 100.03000  99.90996 100.52363 100.07997  99.48367  99.92497 100.24470 #>  [93577] 100.46392  99.91496  99.93498  99.92998  99.26228 100.47388  99.67447 #>  [93584]  99.96499  99.92497 100.01000 100.00000 100.31949  99.75470 100.26964 #>  [93591]  99.94999  99.52889  99.85489  99.84488 100.03000  99.53391 100.34441 #>  [93598] 100.56341  99.71961 100.32946 100.55844 100.03499 100.08996 100.11993 #>  [93605]  99.73465  99.49874 100.01500 100.08496 100.30454 100.17984  99.32774 #>  [93612] 100.09995 100.01500 100.44401  99.64939 100.07497  99.97500 100.14490 #>  [93619]  99.84488 100.14490 100.10494  99.80982  99.85489  99.95499 100.67274 #>  [93626] 100.18483 100.12992 100.32447 100.03499  99.66945 100.47885  99.77976 #>  [93633]  99.71459  99.74467 100.24470  99.58414 100.38426 100.26465 100.62803 #>  [93640]  99.93498 100.20978 100.23472 100.09495 100.24470  99.88994 100.59821 #>  [93647] 100.22475 100.20978  99.70958 100.01000  99.97500  99.95999  99.69453 #>  [93654] 100.22475  99.99000 100.08496  99.69453  99.70958  99.97000  99.77475 #>  [93661] 100.16986  99.95499  99.71961 100.60815  99.80982 100.20479  99.73966 #>  [93668] 100.38426 100.16486 100.20479  99.57409 100.44401 100.04999 100.33444 #>  [93675] 100.30952  99.89995  99.68450 100.33942 100.18982  99.85990 100.18483 #>  [93682]  99.74467 100.30454 100.07997 100.37928 100.10494  99.94999  99.92998 #>  [93689] 100.13990 100.31949  99.79980  99.63935 100.44899 100.12992  99.77475 #>  [93696]  99.62931  99.99000  99.87993  99.54898 100.09995 100.12992 100.18483 #>  [93703] 100.00000 100.26964 100.26465 100.12492  99.66945  99.07573 100.54352 #>  [93710] 100.30454  99.64939  99.75470 100.29955 100.15987  99.55903 100.34939 #>  [93717] 100.50871  99.76472 100.20978 100.19481 100.02000 100.31949  99.59418 #>  [93724]  99.95499 100.06498  99.94498 100.15987 100.04499  99.92497 100.14989 #>  [93731] 100.13491 100.20479 100.02000 100.03000  99.65440  99.80982 100.12492 #>  [93738] 100.46392 100.19481 100.00500  99.74969  99.92998 100.19980 100.06498 #>  [93745] 100.09495 100.60318  99.99000 100.17984  99.69453 100.10494  99.94498 #>  [93752]  99.58414 100.06998 100.22974 100.09495  99.99000 100.17984 100.44401 #>  [93759] 100.09495 100.15488  99.63433 100.17485  99.96499  99.68952  99.97000 #>  [93766]  99.58916 100.29955 100.19481  99.25220 100.12992  99.76973  99.64437 #>  [93773]  99.60422  99.59920  99.70958  99.71961 100.10994  99.54898  99.98000 #>  [93780] 100.40418 100.00000 100.03999 100.05998  99.78477 100.36932 100.36932 #>  [93787] 100.54352 100.00000  99.72462  99.70456 100.05498  99.87492 100.08996 #>  [93794] 100.38924 100.13491 100.50871  99.90495 100.30454 100.18483 100.11993 #>  [93801] 100.33942  99.60924 100.04999  99.50377  99.89995  99.87993  99.87492 #>  [93808]  99.47864 100.87121  99.59920  99.95999 100.23472  99.75971 100.02000 #>  [93815]  99.92497 100.17485 100.04999 100.15488  99.73465  99.78978  99.78477 #>  [93822]  99.83987 100.36932 100.07497  99.75971 100.26964 100.33942  99.34787 #>  [93829] 100.09495  99.83486 100.27462 100.00000  99.52889 100.10994  99.82485 #>  [93836] 100.12492 100.39920 100.27462  99.93498 100.00500  99.64437 100.39920 #>  [93843] 100.16986 100.25468 100.25966 100.25966 100.35935 100.20479 100.01000 #>  [93850]  99.88493 100.21976  99.40825 100.45397 100.10994 100.08996 100.01000 #>  [93857] 100.18982 100.09995  99.79479  99.68450 100.57833 100.43406  99.62429 #>  [93864] 100.39920 100.32946 100.24470  99.91997 100.03499 100.29457 100.04999 #>  [93871] 100.63300 100.28460 100.17984  99.42837 100.35935 100.24470  99.97500 #>  [93878]  99.92998  99.89995  99.60924  99.56907  99.88493 100.13990 100.72239 #>  [93885]  99.81984 100.42410 100.26465 100.56341 100.05498 100.19980 100.67770 #>  [93892] 100.18483  99.98500 100.13491 100.14989  99.66945  99.99000  99.80982 #>  [93899]  99.82986 100.42410 100.32447 100.03499  99.62429  99.99000  99.57911 #>  [93906]  99.96499  99.98500 100.49876 100.30454  99.73465 100.40916 100.20978 #>  [93913] 100.01000  99.70456  99.95999  99.98500  99.67949  99.94999 100.30952 #>  [93920] 100.25468 100.18483  99.94498 100.28460 100.19980 100.19980 100.13491 #>  [93927] 100.34441  99.81483 100.59821  99.84488 100.32447  99.84488 100.26465 #>  [93934] 100.26465 100.38924 100.08996 100.49876 100.09495 100.59324  99.97500 #>  [93941] 100.13990  99.79980 100.03000 100.33444  99.81483 100.01000 100.24470 #>  [93948] 100.30454 100.25468  99.94498 100.34441 100.31451  99.95499  99.71961 #>  [93955]  99.36800 100.40418 100.30952 100.14989 100.09995  99.97500  99.86992 #>  [93962] 100.43406 100.15987 100.41912 100.11493 100.24470  99.83486  99.73465 #>  [93969]  99.88994  99.92998  99.94999 100.32946  99.67447  99.93498 100.03499 #>  [93976] 100.54850 100.51368 100.12492  99.97000 100.37928 100.00500  99.88493 #>  [93983]  99.91496  99.91997 100.06498 100.02000  99.95499  99.52387 100.06498 #>  [93990]  99.66444  99.87993  99.76472  99.68952  99.66444  99.85990 100.36434 #>  [93997]  99.61928 100.36434 100.71743  99.97500  99.97000 100.29457 100.34939 #>  [94004]  99.87492 100.53855  99.88994  99.78477 100.06498 100.16986 100.19980 #>  [94011] 100.08496  99.98500  99.56907  99.89995  99.83486 100.22974  99.78477 #>  [94018] 100.17485 100.34441  99.75971  99.28243 100.10494 100.14490 100.46392 #>  [94025] 100.18982 100.12492 100.46392 100.06998  99.98000  99.44848  99.91997 #>  [94032] 100.03499 100.24969 100.11493 100.51368  99.79479 100.17984  99.67949 #>  [94039] 100.05998 100.03000 100.23971  99.81984 100.17485  99.77976 100.32946 #>  [94046]  99.84488  99.78477 100.01500  99.73465  99.90495 100.11993  99.96499 #>  [94053] 100.36932 100.01000 100.51865  99.97500  99.80982  99.72462  99.96499 #>  [94060] 100.61809 100.11493 100.07997 100.14490  99.92497 100.42908 100.29955 #>  [94067] 100.03499 100.15987  99.79479  99.95999  99.92497 100.42410 100.03499 #>  [94074] 100.27462  99.98500  99.63935 100.26964 100.25468  99.43842  99.67447 #>  [94081] 100.36434 100.00500 100.18982  99.64437 100.42410 100.12492  99.66444 #>  [94088]  99.88493 100.48383  99.68450  99.80982 100.09995 100.55844  99.46859 #>  [94095]  99.90495 100.45895  99.94498  99.85990  99.86491 100.09995 100.21477 #>  [94102] 100.19980  99.70456 100.02500 100.19980 100.29955 100.23472 100.40418 #>  [94109]  99.94498  99.88493  99.67447 100.16986  99.86992 100.35437 100.10494 #>  [94116]  99.68952  99.53391 100.64790  99.86491 100.30454  99.74969  99.97000 #>  [94123]  99.94999  99.68952  99.75971 100.05498 100.10994 100.46392  99.76973 #>  [94130]  99.91997 100.11993 100.00000  99.63433 100.79186  99.84488 100.57833 #>  [94137]  99.58916 100.19481  99.86992  99.69955  99.63935 100.28460  99.79479 #>  [94144] 100.02000  99.80982 100.08496  99.52387  99.67949 100.03999  99.80481 #>  [94151] 100.19980  99.88493 100.25468 100.22974 100.20978 100.48383  99.85489 #>  [94158]  99.89995  99.73966  99.80982  99.63935 100.03000 100.45895  99.66945 #>  [94165]  99.74969  99.66945 100.25966  99.74969  99.77976 100.23472 100.34441 #>  [94172]  99.64437  99.68450  99.74467  99.86491  99.91496 100.34441  99.84989 #>  [94179] 100.13990 100.04499  99.66945  99.81483  99.91997  99.87993  99.56405 #>  [94186] 100.13990 100.34441 100.05498 100.19980 100.00500 100.12492 100.18483 #>  [94193]  99.97500  99.80982  99.47361  99.81483  99.95499 100.29457 100.44899 #>  [94200] 100.41414  99.95499 100.26465 100.27462  99.62931 100.13990  99.93998 #>  [94207]  99.90996  99.38310  99.66945 100.04499 100.56838  99.91496 100.01000 #>  [94214] 100.28460 100.06498 100.20479 100.12992  99.95999 100.16486  99.68952 #>  [94221] 100.18982 100.10494 100.04999 100.28460  99.81984 100.01000 100.10494 #>  [94228]  99.74467 100.48881  99.47864 100.14490  99.66444 100.58827 100.08496 #>  [94235]  99.97000 100.35437 100.06498  99.99000  99.98500 100.39920 100.28958 #>  [94242] 100.08496  99.27739  99.92497 100.13990  99.81984 100.00500  99.87492 #>  [94249]  99.71459 100.13990 100.35935  99.92497 100.10994  99.33781 100.41912 #>  [94256] 100.14490 100.13491  99.62931  99.66444  99.83987 100.00500 100.21477 #>  [94263]  99.65440  99.85489  99.70456 100.06998 100.46890 100.27462  99.60422 #>  [94270] 100.35437 100.27462  99.87993 100.01500  99.71459  99.62429 100.22475 #>  [94277] 100.31949 100.19481  99.72462  99.46356 100.15488 100.34441  99.73966 #>  [94284]  99.92497 100.07997  99.81483 100.40418 100.09495 100.00000  99.72963 #>  [94291]  99.76472 100.25468  99.84989  99.71961 100.06998 100.15987 100.22974 #>  [94298] 100.18982 100.26964 100.16986  99.71961 100.37928  99.74467 100.33444 #>  [94305] 100.32447 100.39920 100.50373  99.95499  99.36297  99.67949 100.02500 #>  [94312]  99.91997 100.27961  99.90495 100.41912  99.53894 100.15987 100.25468 #>  [94319] 100.27961  99.54396  99.45853 100.40418  99.97500 100.28958 100.07997 #>  [94326] 100.46392  99.98000 100.15488  99.88994  99.44848  99.50377  99.65942 #>  [94333] 100.17485  99.90495 100.01500 100.06498  99.66444 100.58330  99.82485 #>  [94340] 100.01500 100.08996  99.73465 100.00500  99.45351  99.60422  99.89494 #>  [94347] 100.27462 100.45397  99.91997  99.93998  99.86491  99.93498 100.11993 #>  [94354] 100.18483 100.14989 100.34939  99.72462  99.53391 100.40916 100.26964 #>  [94361] 100.03499  99.85990 100.05498  99.99000 100.41414  99.61928 100.08496 #>  [94368] 100.12992 100.58827  99.70958 100.20479  99.74467  99.72963  99.99500 #>  [94375]  99.71961  99.70958 100.64790  99.64437  99.88994 100.00000 100.12492 #>  [94382] 100.05998 100.31949  99.90996  99.64939  99.88994 100.19980  99.44345 #>  [94389]  99.42837  99.85489  99.84488  99.91496  99.42837 100.02500  99.88493 #>  [94396]  99.99500 100.08496  99.60422 100.67770 100.35437 100.01000 100.53358 #>  [94403] 100.13491 100.05998  99.57911 100.26964 100.08496  99.72963  99.81984 #>  [94410]  99.60422  99.82485  99.68450  99.62429  99.87993 100.52363  99.47864 #>  [94417] 100.24470  99.92998  99.74467  99.68952 100.00500 100.07497  99.85489 #>  [94424] 100.31451 100.03000 100.04999 100.17984  99.89995 100.31949 100.26964 #>  [94431] 100.22974  99.95499 100.42410 100.27961 100.20479  99.63935 100.20978 #>  [94438] 100.30952  99.80481  99.95999  99.78978  99.74969  99.72963  99.82986 #>  [94445]  99.94999  99.72462 100.28958  99.43842 100.12992  99.60422  99.94999 #>  [94452] 100.51865  99.80481 100.13491  99.99000 100.40916 100.23971 100.25468 #>  [94459] 100.21477  99.95999 100.26964 100.28460 100.40418  99.58414  99.84989 #>  [94466] 100.05998  99.44848 100.07997 100.33444 100.36434  99.64939  99.50377 #>  [94473]  99.93998 100.18982 100.20978  99.39819 100.31949  99.72963  99.75470 #>  [94480]  99.91997 100.06998  99.89995  99.49874  99.97000  99.67949 100.03499 #>  [94487]  99.70456 100.34441 100.42908  99.75470  99.53894 100.00500 100.14989 #>  [94494]  99.94498 100.09995 100.06998 100.52363 100.32946  99.95999 100.19481 #>  [94501] 100.56341  99.74467  99.83486  99.96499  99.84488 100.38924 100.21976 #>  [94508] 100.15488  99.79980 100.03499 100.30952 100.17984  99.90495  99.93498 #>  [94515]  99.80481 100.03499  99.66444 100.17485  99.68952 100.10494 100.00000 #>  [94522] 100.11493 100.01000 100.38924  99.89995  99.91496  99.89494  99.90996 #>  [94529] 100.30454  99.76472  99.98000  99.90996 100.36932 100.19980  99.76973 #>  [94536] 100.48881  99.82986  99.65942 100.06498  99.91997  99.86992 100.22475 #>  [94543] 100.12492  99.56405 100.20978 100.07997 100.17485  99.76973 100.16486 #>  [94550]  99.94999 100.33942  99.94999  99.99500  99.81984 100.53358  99.98500 #>  [94557] 100.19481  99.82986 100.02000 100.09995 100.27961  99.90495 100.38924 #>  [94564] 100.28958 100.49876 100.43904 100.13491 100.22974  99.98500 100.13491 #>  [94571] 100.10494 100.27462 100.35935  99.62429  99.98000  99.94999 100.10994 #>  [94578] 100.20479 100.08496 100.08496  99.68450  99.67447  99.63935  99.42334 #>  [94585]  99.83486  99.80982 100.12492  99.75971  99.97000 100.37430 100.34939 #>  [94592] 100.44401  99.93498  99.52889 100.16986 100.22974  99.83486 100.81667 #>  [94599]  99.62931  99.53894 100.04999 100.18483  99.83486 100.28460 100.05998 #>  [94606] 100.16986  99.54396  99.81483 100.23472 100.51368 100.48383  99.51884 #>  [94613] 100.18483 100.43904  99.77976  99.84488  99.87492  99.88994  99.52387 #>  [94620] 100.21976  99.79980 100.44899 100.18982  99.85489  99.69453  99.51382 #>  [94627]  99.50879 100.22475 100.46890  99.97000 100.00500  99.72963  99.99500 #>  [94634] 100.13990 100.12992  99.94999  99.79980 100.36932  99.91496  99.86491 #>  [94641]  99.56405  99.88493  99.55401  99.86491 100.04499 100.38924  99.84989 #>  [94648] 100.14490 100.38924 100.12492  99.65942  99.79479 100.35935  99.86491 #>  [94655]  99.61426  99.50377 100.34939  99.72462  99.63935  99.92998 100.00000 #>  [94662]  99.68952  99.53391 100.32447  99.96499  99.72462  99.85990 100.24470 #>  [94669]  99.71961 100.32447  99.75971 100.22475  99.72462 100.30454 100.16486 #>  [94676]  99.90495 100.28958 100.42410  99.79479 100.24969  99.99500 100.07497 #>  [94683]  99.98500  99.81984 100.11493 100.13491 100.13491 100.10994 100.45397 #>  [94690]  99.93998 100.09995 100.35437 100.19980 100.32946 100.34441 100.51865 #>  [94697]  99.71961  99.72963 100.22475  99.66444  99.99000  99.71961  99.79479 #>  [94704]  99.86491 100.09995 100.23971 100.23971  99.72963  99.87993 100.06998 #>  [94711]  99.76472 100.19980 100.22974 100.06998  99.82485 100.05998  99.55401 #>  [94718]  99.97000  99.93498  99.64939  99.89995  99.86992 100.29955  99.64437 #>  [94725]  99.87492 100.06998  99.89995  99.71459  99.52889  99.62931  99.88994 #>  [94732] 100.41912 100.26465 100.21976 100.12992 100.43406  99.89494 100.53855 #>  [94739] 100.61312 100.27961 100.28460 100.19980  99.49372  99.93998 100.18982 #>  [94746] 100.18982 100.49378 100.30952  99.58916 100.03999  99.79980  99.94999 #>  [94753]  99.90996  99.95999 100.30454  99.93498  99.77475  99.63433 100.20978 #>  [94760] 100.13990  99.41831  99.70958  99.73966  99.77976  99.80982  99.66444 #>  [94767]  99.67949 100.22974 100.29955  99.82485 100.22475 100.34441  99.98000 #>  [94774] 100.37430  99.95499  99.81483  99.79479  99.66945 100.12492  99.92497 #>  [94781] 100.17984 100.19980  99.29250  99.86992  99.97500  99.55903 100.51865 #>  [94788]  99.70456 100.15488 100.15987 100.90590  99.89494 100.26964  99.47864 #>  [94795]  99.90996  99.86992 100.15488  99.38813 100.11493 100.18982  99.76472 #>  [94802]  99.80982  99.64437  99.79980  99.45351  99.95499  99.98000 100.25966 #>  [94809]  99.84989  99.88994 100.01000  99.49372  99.85489 100.51865 100.06998 #>  [94816] 100.58827  99.70456 100.44401 100.01000  99.59920  99.97500  99.65942 #>  [94823]  99.64939  99.69955  99.70456 100.44899 100.02500  99.35291 100.01000 #>  [94830]  99.60924 100.07497 100.29955 100.04499 100.23472 100.17984 100.03999 #>  [94837]  99.68450 100.26964  99.89995 100.15488 100.06498 100.13491 100.19481 #>  [94844]  99.96499  99.62429  99.88994  99.74467  99.88493 100.12992 100.15488 #>  [94851] 100.13491 100.02000 100.04499  99.37807  99.92998 100.49378  99.91997 #>  [94858] 100.40916 100.02500  99.94498  99.85990  99.91997 100.30454  99.96499 #>  [94865] 100.02000 100.13990 100.57336  99.97500 100.13990  99.66444  99.99500 #>  [94872] 100.09495  99.88493  99.51884  99.73966  99.97500 100.05498 100.11493 #>  [94879] 100.13491  99.58414  99.92998  99.68952 100.41912  99.89995  99.93998 #>  [94886] 100.28958  99.72462 100.30454  99.57911  99.95499 100.44401 100.40418 #>  [94893]  99.83486 100.04999  99.33277  99.84488 100.67770  99.88493  99.82485 #>  [94900] 100.36932 100.01500 100.00500  99.67949 100.36932  99.69453 100.20978 #>  [94907] 100.08496 100.49378  99.79479 100.44899  99.85990 100.01000  99.69955 #>  [94914]  99.91496 100.06498  99.86491  99.96499  99.47864 100.47388  99.78477 #>  [94921] 100.13491  99.18165  99.48869 100.34939 100.12492 100.15488 100.17984 #>  [94928]  99.68450 100.27462 100.11993 100.05998 100.54850  99.90495 100.13990 #>  [94935] 100.26964 100.54850  99.60422 100.13491  99.75971  99.72462  99.64437 #>  [94942] 100.21477 100.17485  99.77475 100.22475 100.19481  99.97500 100.24470 #>  [94949] 100.21976 100.05498  99.72462 100.00000 100.40418  99.57409 100.10494 #>  [94956]  99.93498 100.21477 100.02000 100.44401 100.16986 100.01500  99.83486 #>  [94963]  99.66945  99.72462  99.95499 100.12992 100.11993 100.45397  99.98500 #>  [94970] 100.28958 100.15987 100.28460  99.84488 100.12992  99.88994  99.87993 #>  [94977] 100.13990 100.33444 100.13990 100.50871 100.16486 100.02000  99.65440 #>  [94984]  99.60422 100.16986 100.06998  99.80481  99.81984  99.78978 100.39920 #>  [94991]  99.83486  99.59418  99.97000  99.88493 100.03499  99.85990  99.69955 #>  [94998]  99.83987 100.31949 100.17485 100.17485 100.19980 100.27462 100.32447 #>  [95005] 100.31451  99.90996 100.13491 100.00500 100.09495  99.98500 100.51368 #>  [95012] 100.00500 100.06498  99.71459 100.09995  99.16148  99.41831 100.27462 #>  [95019] 100.08996 100.10494 100.07997 100.32447  99.90996  99.91997 100.03499 #>  [95026]  99.70958 100.12492  99.94498 100.14490  99.64437 100.42410  99.68450 #>  [95033]  99.48869 100.13491 100.14989  99.83486  99.88994  99.74969 100.03000 #>  [95040]  99.70456 100.34939 100.24470  99.61928  99.93998  99.81984  99.97000 #>  [95047]  99.91496  99.76472 100.17984  99.73465 100.06998  99.79980 100.28460 #>  [95054] 100.74721  99.98000 100.06498 100.06498 100.24969 100.23472  99.77976 #>  [95061]  99.63935 100.23971 100.53358  99.81984  99.64939 100.09995  99.92497 #>  [95068]  99.95999 100.11493 100.04499 100.09495 100.22974 100.36434 100.27462 #>  [95075] 100.00500 100.49876 100.48383 100.32946  99.99000  99.89494 100.11993 #>  [95082] 100.01500  99.69453  99.92998 100.26465  99.55401 100.15987  99.78477 #>  [95089]  99.88493 100.43406  99.97000 100.18982  99.98000  99.94999 100.33444 #>  [95096] 100.10994 100.12492  99.95999 100.08496  99.70456 100.02500 100.15488 #>  [95103]  99.95499  99.63935 100.14989 100.63797 100.18483 100.35935 100.45397 #>  [95110] 100.10494  99.97500  99.41831 100.58330  99.92998  99.61426  99.61426 #>  [95117] 100.03999  99.77976  99.62429 100.03999  99.99000  99.89995 100.08496 #>  [95124] 100.20978 100.28460 100.16986 100.04499  99.73465 100.00000  99.84488 #>  [95131] 100.03499  99.90996 100.03499  99.69453 100.35935  99.90996 100.03999 #>  [95138]  99.79980 100.17984 100.25468 100.25966  99.71961 100.14490  99.55903 #>  [95145] 100.00500 100.19980 100.03999 100.26465  99.90495  99.59920  99.92497 #>  [95152] 100.65784 100.03499  99.61426 100.33942 100.57336 100.35437 100.01000 #>  [95159] 100.20479  99.89494  99.83486 100.24969 100.53358  99.72963 100.41912 #>  [95166] 100.22475 100.15488  99.80982 100.10494  99.56907  99.73465 100.48881 #>  [95173]  99.44848 100.39422 100.36932 100.03499  99.72462  99.71459 100.29457 #>  [95180]  99.90996 100.33444 100.39920 100.11493  99.97500 100.02500 100.11493 #>  [95187]  99.68450 100.22475 100.02500 100.17984 100.21976 100.21976 100.01500 #>  [95194]  99.74467  99.63433  99.78477  99.56405 100.26465  99.73966  99.52889 #>  [95201]  99.83486  99.79980 100.12992  99.61426 100.21477 100.40916 100.18982 #>  [95208] 100.36434  99.59920 100.08996 100.56838  99.51382 100.04999  99.38813 #>  [95215] 100.33444  99.65942 100.50871  99.81483  99.88493  99.87492 100.21477 #>  [95222] 100.03999  99.90495  99.94999  99.64939 100.10494 100.17984  99.86992 #>  [95229]  99.92998 100.27961 100.09495 100.23971  99.48367  99.88994  99.69955 #>  [95236]  99.84488 100.49876 100.49876  99.40825  99.95999  99.58414 100.13990 #>  [95243]  99.60422  99.77475 100.15987  99.87993  99.40825 100.21477 100.44401 #>  [95250] 100.23971  99.93498  99.59920  99.87492  99.32271 100.15987 100.19481 #>  [95257]  99.44345 100.08996  99.75470 100.03499 100.11493  99.57409  99.85489 #>  [95264]  99.76973 100.19481 100.32447 100.52363 100.30454 100.16986 100.29457 #>  [95271] 100.11493 100.22974 100.01500  99.87492  99.88493 100.48881  99.68952 #>  [95278] 100.38924 100.25468 100.31451  99.71961  99.91997  99.70958 100.54352 #>  [95285] 100.03999  99.71961  99.67949 100.06498  99.93998  99.91997  99.48869 #>  [95292]  99.88994  99.42837 100.12492 100.42908  99.65440 100.18483 100.18982 #>  [95299] 100.41912  99.95999 100.17984  99.42334 100.30952  99.75470 100.35437 #>  [95306]  99.77475  99.79479 100.07997 100.15987 100.50871  99.75470  99.66444 #>  [95313]  99.88994  99.36297 100.30952  99.69955  99.51382 100.00500 100.15987 #>  [95320]  99.92998 100.12992 100.04999 100.14490  99.76472 100.31949  99.70958 #>  [95327] 100.11493 100.28958  99.92998  99.88493  99.98000  99.86992  99.70958 #>  [95334]  99.92998 100.28460 100.50871  99.40322  99.34787  99.93498 100.24470 #>  [95341] 100.37928 100.05498 100.00500 100.07497 100.12992 100.00000  99.66945 #>  [95348] 100.02500 100.54352 100.00500  99.91997  99.93998 100.13491  99.56405 #>  [95355]  99.74969 100.05498 100.24470  99.86992 100.28958 100.36434  99.90996 #>  [95362] 100.04999  99.59418 100.08996  99.90495  99.45351 100.20978 100.17984 #>  [95369]  99.86491  99.76973  99.73966  99.62931  99.89494 100.03000  99.76472 #>  [95376] 100.33444 100.45397  99.80982  99.52387  99.65440  99.87492  99.92998 #>  [95383] 100.48881 100.19980  99.79980  99.84989 100.02000 100.58827  99.66945 #>  [95390] 100.06498 100.37928 100.21976  99.58414  99.99500  99.70958 100.23472 #>  [95397]  99.76973 100.36434  99.94999  99.86992 100.25468  99.90996 100.02500 #>  [95404] 100.69757  99.78477 100.53855  99.44345 100.16986 100.19481 100.50871 #>  [95411] 100.10994  99.68952 100.46890  99.72963 100.64293 100.03499 100.59821 #>  [95418] 100.18483 100.03499  99.78978 100.37928  99.48367  99.82485 100.01000 #>  [95425] 100.21976  99.69955  99.86491 100.16486 100.46392 100.61312 100.49378 #>  [95432] 100.16486  99.72462  99.79479  99.97000  99.68952 100.01000  99.86491 #>  [95439] 100.24969  99.82986 100.21976  99.60924  99.77475 100.63797  99.88994 #>  [95446]  99.76472  99.88994  99.64939 100.04999  99.91496 100.33444 100.02500 #>  [95453]  99.94999  99.92497  99.92998 100.10494  99.99000 100.45397  99.62429 #>  [95460]  99.52889  99.58414  99.81483  99.57911 100.05498  99.74969 100.82162 #>  [95467] 100.49378  99.89995 100.04499 100.16986 100.40916  99.54396  99.76973 #>  [95474] 100.24969 100.16486 100.14989  99.90996  99.82986  99.53894  99.74969 #>  [95481]  99.98000 100.07997  99.78477  99.79479 100.05998 100.25966  99.75971 #>  [95488]  99.83987  99.57911  99.32271  99.79980 100.04999 100.11493  99.47361 #>  [95495] 100.13491  99.98500  99.95999  99.73966 100.33444  99.98000  99.77475 #>  [95502]  99.85489  99.48869  99.83486 100.16986  99.97500 100.48383  99.95499 #>  [95509] 100.01000  99.90996 100.62803 100.22475 100.22475 100.29955 100.23472 #>  [95516]  99.51884  99.64437 100.18982  99.93998  99.86992 100.22475  99.93498 #>  [95523]  99.92497 100.33444 100.17984 100.15987 100.42908  99.84989  99.60422 #>  [95530] 100.26465 100.30952  99.74467 100.10494 100.65287 100.08996  99.60422 #>  [95537]  99.63935 100.04499  99.71961 100.14989 100.29457 100.22974 100.21976 #>  [95544] 100.32946  99.48367 100.27961 100.03999 100.04499 100.12492 100.01000 #>  [95551]  99.89494 100.52860 100.53855 100.47885 100.09995 100.15987 100.22974 #>  [95558] 100.44401 100.24969 100.24470 100.14490  99.80481 100.30952 100.37430 #>  [95565] 100.23971 100.36434  99.45351 100.50871 100.37928 100.25468  99.54898 #>  [95572]  99.93498  99.82986  99.38813  99.35291  99.80982 100.22974  99.55401 #>  [95579] 100.04499 100.32447  99.92998 100.07997 100.04499 100.02000 100.01000 #>  [95586] 100.12992 100.21976 100.06498 100.12492 100.23971 100.43904  99.84989 #>  [95593]  99.48869  99.88493  99.73966  99.83486 100.09995  99.41328  99.89995 #>  [95600] 100.37928 100.57833 100.52363  99.63433  99.71459 100.32447  99.98000 #>  [95607] 100.10994  99.80481 100.26964  99.61928 100.02500 100.19980  99.25724 #>  [95614]  99.91496 100.35935  99.90495 100.05998  99.83486 100.07997 100.06498 #>  [95621]  99.57911 100.09995 100.09995 100.49876  99.98000 100.06498 100.31949 #>  [95628] 100.23472 100.32946  99.92497  99.86491 100.15488 100.24470  99.57409 #>  [95635]  99.69453 100.19980 100.04499 100.08496 100.23472  99.99000  99.83987 #>  [95642] 100.08496  99.98000 100.57336 100.36932  99.58916  99.86992 100.14490 #>  [95649] 100.36434 100.24470  99.93498  99.79980 100.01000  99.80481  99.90495 #>  [95656]  99.55401 100.41912 100.10994 100.25966 100.19980  99.79479 100.25468 #>  [95663]  99.83486 100.37928 100.58330 100.07497  99.75971  99.71459  99.94999 #>  [95670] 100.04999  99.60422 100.14490 100.14989  99.99500  99.94498  99.91496 #>  [95677]  99.46356  99.81483  99.64939 100.19481  99.56907  99.84488  99.81483 #>  [95684] 100.17984  99.97000  99.77976  99.43842 100.38426 100.09995  99.73966 #>  [95691]  99.81984 100.00500  99.90495  99.81483  99.93998 100.17485 100.23472 #>  [95698] 100.12492 100.13990 100.31451  99.67447  99.76472  99.64437  99.97000 #>  [95705] 100.23971  99.96499  99.84989  99.57911  99.82986 100.05498  99.71961 #>  [95712]  99.48367  99.85489  99.72462 100.17485  99.54898 100.06498 100.21976 #>  [95719] 100.41912 100.34441  99.95999 100.39422 100.04499 100.24470  99.76973 #>  [95726] 100.29955  99.93498  99.72462 100.00000  99.72462  99.86491  99.88493 #>  [95733] 100.20978  99.82986 100.21976  99.95999 100.47885  99.76472  99.95999 #>  [95740] 100.17485 100.25966  99.98000 100.30454 100.09995 100.14490 100.59324 #>  [95747] 100.12992  99.65440 100.05998 100.44401  99.49874 100.05498  99.91997 #>  [95754] 100.24969  99.93998  99.78978  99.85489  99.77475  99.67447 100.13990 #>  [95761] 100.34441 100.15488 100.14490 100.24969 100.12492  99.48367 100.10494 #>  [95768]  99.75470 100.09995  99.86491 100.01500 100.44401  99.37303  99.81984 #>  [95775] 100.11993 100.16986 100.11493 100.10994 100.00500  99.52387 100.19481 #>  [95782] 100.14490  99.85489  99.72963  99.91997  99.74467 100.27462 100.03999 #>  [95789] 100.09495  99.98500  99.87492  99.80982 100.35437 100.09495  99.70456 #>  [95796] 100.20479  99.73966 100.08496  99.85990 100.39422 100.45895 100.17984 #>  [95803]  99.58916 100.02500  99.73966 100.20479  99.18165 100.07497  99.81483 #>  [95810] 100.08496 100.05998 100.59324  99.85990 100.05498  99.74969 100.00500 #>  [95817]  99.89995  99.76472  99.89995 100.27961 100.21976  99.92998  99.94498 #>  [95824]  99.65942 100.27462 100.05998 100.35437  99.69453  99.76472  99.80982 #>  [95831]  99.68952 100.30454 100.16986  99.94999  99.77475  99.69453 100.03000 #>  [95838] 100.22475 100.38426  99.77475  99.63433  99.87993 100.12492 100.03499 #>  [95845] 100.20978  99.76472  99.62429  99.57911 100.25966  99.66444  99.73966 #>  [95852] 100.04999 100.13990  99.94999  99.65440  99.52889 100.64790  99.64437 #>  [95859] 100.19481 100.02500  99.76973 100.19980 100.07997  99.59418 100.08996 #>  [95866]  99.67949 100.20978 100.04999  99.70958  99.45351 100.01000  99.59920 #>  [95873]  99.46356  99.90996  99.87492  99.82485  99.75971 100.22974  99.43339 #>  [95880] 100.11993 100.20479  99.67949 100.09495 100.05998  99.67949 100.16986 #>  [95887]  99.89494  99.76973  99.98500 100.10494  99.98000  99.98000  99.82986 #>  [95894] 100.22974  99.59418  99.52387 100.42908 100.74721 100.58330  99.98500 #>  [95901] 100.37928 100.38924 100.31949 100.49876  99.87492 100.00500  99.91997 #>  [95908]  99.27235 100.24470  99.84488  99.77976  99.96499 100.25468 100.13990 #>  [95915]  99.75470 100.24969  99.79980  99.87492 100.16486 100.15987  99.69453 #>  [95922] 100.03499  99.76973  99.98500  99.74467 100.11493 100.22974  99.99500 #>  [95929] 100.28460 100.19481  99.97500  99.75470  99.30760 100.00500 100.27462 #>  [95936] 100.78194 100.40916  99.73966  99.33781 100.12492 100.03000  99.90996 #>  [95943]  99.90996 100.32447  99.78477 100.24470  99.76973  99.97000 100.38426 #>  [95950]  99.22197  99.89995 100.32946 100.39422  99.94498  99.81483 100.71246 #>  [95957] 100.21477  99.67447  99.51884  99.80481  99.83987  99.91496  99.77475 #>  [95964]  99.41831  99.81984  99.46859 100.09495 100.42908  99.64939  99.49874 #>  [95971] 100.32447 100.03999  99.64437  99.51884  99.69955 100.10994 100.39920 #>  [95978] 100.18982  99.59920 100.13990 100.14989  99.94498  99.95499  99.84989 #>  [95985] 100.02500  99.85990 100.12992  99.91496  99.70456 100.00500  99.46859 #>  [95992] 100.13491 100.16486 100.29955  99.99500 100.21976  99.84488  99.52889 #>  [95999]  99.85990  99.85990  99.96499 100.05498 100.12492 100.18483 100.44899 #>  [96006]  99.75470  99.78978  99.88493  99.59418  99.47864  99.80982 100.03499 #>  [96013] 100.38924 100.11493 100.66777  99.74969  99.68450 100.08496 100.07997 #>  [96020] 100.14989 100.20978 100.69757  99.94999  99.78477  99.92998 100.07997 #>  [96027]  99.95999  99.79479 100.18982  99.43339  99.83486  99.93498  99.53894 #>  [96034] 100.09995  99.94498 100.21477  99.64437 100.05998 100.25468  99.82986 #>  [96041] 100.05998  99.63433  99.59418  99.86992  99.62931 100.11493 100.33444 #>  [96048] 100.52860 100.40418 100.14490 100.45895 100.60318 100.06998  99.94999 #>  [96055]  99.82986 100.11993 100.04499 100.06998 100.12992  99.19677 100.28958 #>  [96062]  99.70456 100.47885  99.90495  99.78477 100.11993  99.86491  99.70456 #>  [96069]  99.78978 100.11993  99.88493  99.72963 100.48383 100.01000 100.14490 #>  [96076] 100.18982  99.78477  99.86992  99.74969  99.86992 100.27462 100.43904 #>  [96083] 100.01000 100.00500  99.52387  99.85990  99.66444 100.38426 100.30952 #>  [96090]  99.53894  99.87993  99.71961 100.32946 100.19481 100.07497  99.50377 #>  [96097]  99.91496 100.04499 100.26465 100.05998 100.07997  99.93498  99.99000 #>  [96104] 100.20978  99.46356 100.44899 100.06998  99.59920 100.24969  99.19677 #>  [96111]  99.50377 100.01500 100.51865 100.00500  99.88493 100.04999  99.60924 #>  [96118] 100.28958  99.50377  99.75971 100.16486  99.57409  99.94498 100.32447 #>  [96125] 100.06998 100.16986 100.23472  99.87993  99.76472  99.96499 100.10994 #>  [96132]  99.90996  99.48367  99.77976  99.92998  99.79479 100.19481  99.99000 #>  [96139] 100.06998  99.55903  99.97000  99.51884  99.64437  99.77475  99.82485 #>  [96146]  99.84488  99.56907  99.97000  99.97500 100.23971 100.11993  99.85990 #>  [96153]  99.86992  99.81483  99.81483  99.63433 100.11493  99.93998  99.83486 #>  [96160] 100.43406  99.84488 100.13990 100.14490  99.85990  99.60422 100.09995 #>  [96167] 100.25966 100.18982  99.97000 100.51865  99.58916  99.80982  99.64939 #>  [96174] 100.33942  99.81984 100.05498 100.06498  99.79479  99.90495  99.92497 #>  [96181]  99.95499 100.41912 100.01000  99.94498  99.61426 100.05498 100.04999 #>  [96188] 100.55844 100.27961  99.72462  99.53894  99.84488 100.12492 100.11493 #>  [96195] 100.09995 100.44401  99.34284 100.13990  99.71961 100.20479 100.41912 #>  [96202] 100.23472  99.98000  99.82485  99.68952 100.41912  99.92497 100.13990 #>  [96209] 100.16986  99.47864 100.44401  99.68450  99.82986 100.04999  99.85990 #>  [96216]  99.83486  99.80982  99.75470 100.27961 100.06498  99.95999  99.82986 #>  [96223] 100.19481 100.46890  99.77976 100.33942  99.73465  99.57409  99.70456 #>  [96230]  99.40322 100.03499  99.93998 100.20978 100.18982 100.26964  99.84488 #>  [96237] 100.55347 100.33942  99.75470  99.63433  99.69955  99.67949 100.36434 #>  [96244]  99.55401 100.18483  99.86491  99.61928  99.97000 100.40916 100.32447 #>  [96251] 100.46890  99.59418 100.21477  99.74467  99.98000  99.82986 100.02500 #>  [96258]  99.83987  99.78477  99.83486  99.87993 100.22475  99.62429 100.23971 #>  [96265]  99.79479 100.09495 100.03499 100.06998  99.62931  99.99500  99.87492 #>  [96272] 100.53855  99.67949 100.01500  99.91496  99.79479  99.98000 100.07497 #>  [96279]  99.89494  99.82485 100.44401 100.39920  99.76973  99.87993  99.67949 #>  [96286] 100.10494  99.80982  99.82485 100.01000 100.19481 100.09995 100.21477 #>  [96293] 100.24470 100.30952  99.82986 100.21477 100.29955 100.43406 100.61312 #>  [96300]  99.85990  99.55903 100.27462 100.24969  99.89995  99.66945 100.24470 #>  [96307] 100.14989 100.16986 100.92076 100.03000 100.06498 100.07497  99.92998 #>  [96314] 100.15488  99.59920  99.52387  99.99000 100.18982  99.75470  99.84488 #>  [96321] 100.00500 100.50373  99.69955  99.91997  99.98500 100.06998 100.32447 #>  [96328] 100.09995 100.20978 100.52860  99.97500  99.97500  99.68952  99.75470 #>  [96335] 100.03999 100.35935 100.34441 100.28460 100.38426  99.37303 100.00500 #>  [96342]  99.59920  99.86491 100.03000  99.40322 100.05998  99.40825 100.41912 #>  [96349] 100.07497 100.17485  99.64437 100.10494  99.64437 100.07497  99.65440 #>  [96356]  99.28243 100.27462 100.29457 100.06498 100.10494  99.52387  99.84989 #>  [96363]  99.77475 100.34441 100.26964 100.43904  99.71459  99.68450  99.84989 #>  [96370] 100.00500  99.98500 100.01500  99.52889 100.40916  99.98000 100.06998 #>  [96377] 100.05498 100.49378  99.73966 100.35437 100.53358 100.17984 100.06998 #>  [96384] 100.19481 100.29457 100.33444 100.20978 100.43406 100.45397 100.28958 #>  [96391]  99.66444 100.20978 100.23971 100.15987 100.18483 100.05498 100.27961 #>  [96398]  99.54396 100.42908 100.38924  99.82485 100.28460 100.07497 100.14490 #>  [96405] 100.27961 100.24969  99.91997  99.88994 100.00500 100.46392 100.11993 #>  [96412]  99.99500  99.57911  99.61928 100.10994  99.81483  99.98500  99.81984 #>  [96419] 100.13990  99.87492  99.70456  99.88994  99.89494 100.49378 100.31949 #>  [96426] 100.31451  99.42837 100.18982  99.78978  99.67447 100.03000  99.59418 #>  [96433]  99.54396 100.68267 100.62306 100.20479  99.28243  99.71961 100.12992 #>  [96440]  99.96499  99.78477  99.30257 100.13990  99.96499 100.05998 100.06998 #>  [96447] 100.01000 100.04499 100.19481 100.53358  99.83987  99.81984 100.33942 #>  [96454] 100.14490 100.15488 100.09495 100.17485 100.01500  99.76973  99.69955 #>  [96461] 100.47885 100.48881 100.00500 100.08996 100.26964  99.98000  99.92497 #>  [96468] 100.38924 100.10494  99.94999  99.95499 100.53855 100.09995  99.87492 #>  [96475] 100.16986  99.86491  99.71459  99.68450 100.52363  99.60924 100.37928 #>  [96482] 100.08496  99.93498 100.12992  99.79980  99.33781 100.16486 100.49876 #>  [96489]  99.92497  99.72963  99.73465  99.82986  99.92998 100.03000  99.38310 #>  [96496] 100.06498  99.88994  99.93998  99.95499  99.59920 100.23472  99.85990 #>  [96503] 100.14989  99.57911 100.04499 100.09995 100.50373  99.86491  99.93998 #>  [96510] 100.24470  99.93498  99.70456 100.00000  99.69453  99.99500 100.20978 #>  [96517] 100.44899 100.44899 100.10494 100.03999  99.94498  99.89995 100.45895 #>  [96524] 100.05498  99.69453 100.10494  99.69453  99.72462  99.97000 100.40916 #>  [96531] 100.22974 100.08496 100.03499 100.12992 100.15488  99.75971  99.73966 #>  [96538]  99.90996  99.68450  99.56405 100.27462  99.45853  99.67949  99.70958 #>  [96545]  99.94999 100.19481  99.81483 100.14989  99.54396 100.03499  99.76472 #>  [96552]  99.84488 100.22475 100.38924  99.84989  99.73465 100.05998  99.31767 #>  [96559]  99.87492 100.02000 100.55347  99.68952  99.72963  99.46356 100.31949 #>  [96566] 100.09995  99.95999 100.44401 100.05998 100.02000  99.78477  99.62429 #>  [96573]  99.72963 100.19481  99.95499  99.87492  99.83486 100.25966  99.70456 #>  [96580]  99.63433  99.74969  99.41328  99.78978 100.06498 100.16486 100.25966 #>  [96587] 100.20479 100.19481 100.14989  99.45853  99.83987  99.53894  99.78477 #>  [96594]  99.77976 100.04499 100.26465 100.01000  99.90996 100.30454  99.95499 #>  [96601] 100.06498 100.30454 100.02000  99.97500 100.67274  99.61426 100.03999 #>  [96608] 100.33444  99.73465  99.76472  99.56907  99.73465 100.34441  99.84989 #>  [96615]  99.98500 100.28958  99.64437 100.38426 100.09495  99.37807 100.40916 #>  [96622]  99.83987  99.79980 100.09495 100.28958 100.33444 100.19481  99.80481 #>  [96629]  99.68450 100.45895  99.76973 100.54352 100.15488 100.24470  99.96499 #>  [96636]  99.94999  99.78978  99.87993 100.17984 100.37928  99.94999  99.74467 #>  [96643] 100.32447 100.69757 100.25468 100.49876  99.69955  99.90996  99.72462 #>  [96650]  99.72462  99.69955  99.81984 100.24470  99.82986 100.06998 100.02500 #>  [96657]  99.97000  99.44848  99.78477  99.53894 100.05998  99.91496 100.14989 #>  [96664]  99.54898 100.14989 100.14989 100.00500 100.30454  99.86992 100.32946 #>  [96671] 100.27961  99.86491 100.51368 100.20479 100.45895  99.49372  99.87993 #>  [96678]  99.83987  99.84989  99.98500  99.87492  99.69955 100.39920 100.18982 #>  [96685]  99.84989 100.26964 100.39920 100.09995 100.17485 100.08496  99.55401 #>  [96692] 100.19980 100.07997  99.96499  99.40322  99.90495  99.81984 100.17485 #>  [96699] 100.18483 100.04499  99.84488 100.19481  99.42837  99.83486 100.06498 #>  [96706]  99.83987  99.93498  99.85990 100.37430 100.05498  99.80481  99.57911 #>  [96713] 100.32946 100.05998 100.02500 100.19980 100.07997  99.86992  99.56405 #>  [96720] 100.46890  99.97500 100.33942 100.27961  99.83486 100.25966  99.42837 #>  [96727]  99.66945 100.20978  99.86992  99.73966  99.90495 100.14989 100.35935 #>  [96734]  99.88493  99.74969  99.96499  99.38813  99.93998  99.95999  99.44345 #>  [96741] 100.37928  99.70456  99.91496  99.95499  99.96499  99.98500  99.43339 #>  [96748]  99.81984 100.04999  99.43842 100.39422  99.91997  99.94498  99.86992 #>  [96755]  99.95999  99.64437  99.75971 100.01500 100.29457 100.13990 100.16986 #>  [96762] 100.17984  99.98000  99.83486  99.61426 100.53855  99.80982  99.73465 #>  [96769] 100.51368  99.86992  99.61426 100.03499  99.69453  99.98500  99.67447 #>  [96776]  99.51884 100.29457 100.42908 100.32946 100.13491 100.37430  99.80481 #>  [96783] 100.23971 100.30952 100.04999  99.92497 100.26964  99.40322 100.27961 #>  [96790]  99.84989 100.16986 100.43406  99.98000 100.29955 100.10994  99.81984 #>  [96797] 100.40916 100.43904 100.31451  99.71961 100.06998 100.22475  99.95999 #>  [96804] 100.22974  99.94999 100.38924  99.73966  99.80481  99.65440 100.27462 #>  [96811] 100.26465 100.07497  99.74467 100.22475  99.83486 100.07997  99.84989 #>  [96818]  99.77976  99.93998  99.99000 100.32447  99.84989 100.19481 100.06498 #>  [96825] 100.13491  99.94498  99.90996  99.53391 100.08496  99.93998 100.21976 #>  [96832] 100.21477 100.61312  99.69955 100.37430  99.99500 100.23971  99.82986 #>  [96839]  99.72462  99.64939 100.14989 100.12492  99.67949 100.05998  99.64939 #>  [96846]  99.99000 100.19980 100.05998 100.31949 100.18982 100.19481  99.85990 #>  [96853] 100.16486  99.84488  99.50879  99.47361  99.97500 100.21976 100.05998 #>  [96860] 100.47388  99.58414  99.62931  99.95499  99.88994 100.02000  99.60924 #>  [96867] 100.02000 100.21976  99.89494 100.04999  99.57409 100.08496  99.91997 #>  [96874]  99.71459  99.37303 100.42908 100.05498 100.13990 100.22974 100.20978 #>  [96881]  99.87993 100.00000 100.32946  99.63935 100.09495 100.39920  99.75971 #>  [96888] 100.21477  99.88493  99.81483 100.54352 100.35935 100.49378 100.06998 #>  [96895] 100.00000  99.70456  99.30257 100.00000 100.32447  99.48869 100.57833 #>  [96902] 100.37928 100.29955  99.65440 100.17485 100.13990 100.29955 100.10494 #>  [96909]  99.78477  99.28243  99.58916  99.89995  99.54396 100.15488 100.10994 #>  [96916] 100.47885 100.01000 100.26964  99.97000 100.15987  99.68450 100.36932 #>  [96923]  99.98000  99.40825  99.66444  99.98500 100.03999 100.36434  99.85990 #>  [96930] 100.05998  99.58916 100.07497  99.40825 100.04999  99.65942  99.97000 #>  [96937]  99.92497  99.89995  99.81483  99.67447 100.18483  99.52889 100.23971 #>  [96944] 100.30952  99.99500  99.81984 100.17984 100.07997  99.67447  99.92497 #>  [96951] 100.09995 100.19481 100.43406  99.73966 100.31451  99.62931  99.99500 #>  [96958]  99.78477 100.32447  99.84488 100.10994  99.60422 100.14490  99.49874 #>  [96965] 100.09995 100.05998  99.95499 100.32946  99.79980  99.88994  99.94999 #>  [96972] 100.14490  99.64939  99.53391  99.90996  99.71961 100.26465  99.94999 #>  [96979]  99.68450  99.85489  99.76973  99.93498 100.03000  99.80481  99.90996 #>  [96986] 100.42908 100.11493 100.34441 100.18483  99.96499  99.44848  99.70958 #>  [96993]  99.88994  99.90996  99.88493 100.22475 100.19980 100.04999  99.41328 #>  [97000] 100.31451 100.36434 100.26465 100.43904  99.84488  99.84989 100.26964 #>  [97007]  99.57409  99.88493  99.78477  99.91496 100.26964 100.20978  99.97000 #>  [97014]  99.85990  99.87492 100.11993  99.93998  99.69955  99.72462 100.38924 #>  [97021] 100.39920 100.70750 100.19481  99.88994  99.73966  99.36800  99.69955 #>  [97028] 100.02000 100.56838  99.80481  99.78477  99.88493  99.58414 100.32447 #>  [97035] 100.12992  99.71961  99.84989 100.49876  99.65942  99.71459  99.83987 #>  [97042]  99.77976  99.62429 100.09495 100.10494  99.77475 100.03999  99.99000 #>  [97049] 100.72735  99.98500 100.02000 100.20479 100.31949  99.69453 100.19980 #>  [97056]  99.57409 100.02500 100.51368  99.77475 100.48383 100.11493  99.87993 #>  [97063]  99.70456 100.11993 100.28460  99.47361 100.06498 100.29457 100.11493 #>  [97070]  99.96499 100.27961  99.95499  99.84488  99.80982  99.99500  99.55401 #>  [97077] 100.09495 100.15987  99.87993  99.86992 100.26465 100.27961  99.88493 #>  [97084] 100.15488  99.88994 100.64790  99.62931  99.73465  99.97000 100.63300 #>  [97091]  99.71961 100.16486  99.98500  99.62429 100.59324  99.77475  99.94498 #>  [97098]  99.72963 100.39920 100.00500  99.76973 100.17984  99.99500 100.06998 #>  [97105]  99.79980  99.69453  99.92998  99.88493 100.29457 100.06998  99.96499 #>  [97112]  99.78477 100.63300  99.71459 100.62803 100.45895 100.37928 100.19980 #>  [97119]  99.78978  99.97000  99.81984  99.47361 100.17984  99.78477  99.70958 #>  [97126]  99.87492 100.33444 100.31949  99.69955 100.09995 100.19980 100.18483 #>  [97133] 100.14490  99.97500  99.83486 100.25468 100.11993  99.43339 100.09995 #>  [97140]  99.94999  99.98000 100.09495  99.69453 100.37928  99.85489  99.88994 #>  [97147]  99.22701  99.95499  99.57409 100.14490  99.94498 100.17485  99.61426 #>  [97154] 100.41912 100.19481  99.97500  99.79479  99.38813 100.35437 100.04499 #>  [97161] 100.08496  99.86992  99.64437  99.83987 100.63300 100.57336 100.13990 #>  [97168]  99.81483  99.99000  99.70958  99.94498 100.36932  99.85489  99.55401 #>  [97175] 100.08496 100.10494  99.92497  99.80481 100.12492 100.39920 100.46392 #>  [97182]  99.80481  99.76973  99.87492 100.41414  99.78477 100.24470 100.16486 #>  [97189]  99.71459 100.03499  99.64939  99.95999  99.64437  99.97500  99.87492 #>  [97196] 100.03499 100.17485 100.01500  99.99000  99.92497 100.12492  99.92497 #>  [97203]  99.62429 100.03000  99.70958 100.31949 100.02000 100.25468  99.61928 #>  [97210] 100.15987  99.85489 100.47885  99.60924 100.29955  99.52387 100.29955 #>  [97217]  99.54396 100.05498 100.58827 100.11993  99.59418  99.49372  99.56907 #>  [97224]  99.85489 100.04999 100.00500  99.70958 100.15987 100.02500  99.96499 #>  [97231]  99.79479  99.58916  99.86491  99.98000  99.74969 100.34939  99.56907 #>  [97238]  99.81984 100.11493  99.94999  99.96499 100.40916  99.84989  99.88994 #>  [97245] 100.18982 100.03499 100.21477 100.43904 100.13491 100.37928  99.94498 #>  [97252]  99.96499  99.71459 100.04999 100.11993  99.85990 100.13990 100.22974 #>  [97259] 100.62803 100.25468 100.25468 100.42908  99.89494  99.83486  99.55401 #>  [97266] 100.20479 100.38426 100.11993 100.25468  99.84989 100.08496  99.49874 #>  [97273]  99.78978  99.80481 100.11493  99.72963 100.04999 100.18982  99.68952 #>  [97280] 100.29955 100.43406  99.73966  99.78477 100.08496 100.30952  99.92497 #>  [97287]  99.93998 100.28958  99.61928  99.87993  99.92497 100.30952  99.59920 #>  [97294] 100.54850  99.73465 100.18483 100.18982  99.82485 100.13990 100.30952 #>  [97301]  99.49372 100.15488  99.94999 100.31949 100.05498  99.84488  99.89995 #>  [97308] 100.26964 100.53855 100.14989  99.95999  99.88493  99.84989  99.75470 #>  [97315] 100.39920 100.05998 100.33942  99.68450  99.85489 100.13990 100.03499 #>  [97322]  99.51884 100.39422 100.42908 100.03499  99.78978 100.38426 100.06498 #>  [97329] 100.19980 100.03999 100.02500 100.42908 100.21976 100.28958  99.78477 #>  [97336] 100.01000  99.95499 100.05498  99.96499  99.85489 100.68267 100.11493 #>  [97343] 100.12492 100.23472  99.85489  99.53391  99.60924  99.62429  99.62429 #>  [97350] 100.06498 100.29955 100.41912  99.98500 100.55844 100.08496 100.22475 #>  [97357] 100.32946 100.18483  99.74467 100.38924  99.72462  99.55401 100.30952 #>  [97364] 100.17984  99.99000 100.17984  99.69453 100.27961  99.84989 100.18483 #>  [97371]  99.84989 100.21976 100.51865 100.07997  99.85990 100.02500 100.59821 #>  [97378]  99.82986 100.09995 100.38924  99.35794 100.06498 100.38426 100.60815 #>  [97385]  99.73966 100.04999 100.25966  99.52387 100.16486 100.40418 100.14490 #>  [97392] 100.02000  99.96499 100.03499  99.66444  99.69955 100.12992 100.39920 #>  [97399] 100.14989 100.52860 100.15987 100.04499 100.02000  99.88493  99.80982 #>  [97406] 100.34441 100.28460 100.17485 100.23472  99.75971  99.92497 100.11493 #>  [97413] 100.09995 100.41414 100.38426  99.77475  99.80481 100.37928  99.90495 #>  [97420]  99.74969  99.89995  99.74467 100.37928  99.89494 100.08496 100.14490 #>  [97427] 100.22475 100.17485  99.81984  99.89995 100.12492 100.28460  99.45853 #>  [97434] 100.40418 100.24969  99.76472  99.50879  99.67949 100.21976 100.54352 #>  [97441]  99.94999  99.72963 100.33444  99.82986  99.74467 100.18982 100.28460 #>  [97448] 100.31949  99.92497  99.64939  99.71459  99.96499 100.21976  99.58916 #>  [97455]  99.97500 100.16986  99.79479 100.00000  99.47864  99.88994 100.56838 #>  [97462]  99.73966 100.33942  99.45351  99.62429 100.19980  99.99500  99.86491 #>  [97469]  99.79980 100.55844  99.95499  99.72963  99.98000 100.03499  99.89995 #>  [97476]  99.96499 100.51368 100.22475  99.58414  99.64939 100.17485 100.21976 #>  [97483] 100.15987 100.18982  99.92497 100.03999  99.60422  99.68952 100.10494 #>  [97490] 100.30952  99.82986 100.09995 100.50871  99.74467  99.79479 100.17485 #>  [97497] 100.09495 100.35935 100.40418  99.57911 100.00500  99.86491 100.13491 #>  [97504] 100.68764 100.22974 100.35437 100.15488 100.40418  99.82986  99.86491 #>  [97511]  99.93498  99.81483 100.23971  99.95999  99.73465 100.34939 100.12492 #>  [97518]  99.79479 100.25468 100.19481  99.60924 100.08996 100.47885  99.93498 #>  [97525] 100.07997 100.11993 100.36434 100.43406 100.32946  99.77475  99.67949 #>  [97532] 100.06498 100.42908  99.78477 100.19980  99.69955 100.10994  99.92497 #>  [97539]  99.58414 100.42410  99.82485 100.10494  99.38813 100.40418  99.74969 #>  [97546] 100.26964  99.85489 100.62306  99.67447  99.91496 100.04999  99.67949 #>  [97553] 100.33444 100.18982 100.02500 100.13491 100.36932 100.15488  99.69453 #>  [97560] 100.60318 100.04499  99.43339 100.18483  99.68450  99.91997  99.84989 #>  [97567]  99.79980 100.33444 100.11993 100.23971 100.12492 100.19481  99.80982 #>  [97574]  99.82986 100.38924 100.10994 100.34441 100.58330 100.44899  99.99000 #>  [97581] 100.02000 100.04999 100.13491  99.91997  99.87492  99.74969 100.38426 #>  [97588] 100.00500  99.77475 100.14989 100.22475 100.14490 100.22475 100.58330 #>  [97595]  99.87993 100.01500 100.13491 100.19980 100.06498  99.70958  99.50377 #>  [97602]  99.85990 100.16486  99.89494  99.83987  99.96499 100.10494  99.71961 #>  [97609]  99.54898  99.86491 100.02500  99.57409  99.80481 100.10494 100.33942 #>  [97616] 100.41414  99.76973 100.30454 100.42908  99.63935 100.44899  99.84989 #>  [97623] 100.28460  99.86992  99.85489  99.48367  99.85489 100.19481  99.47361 #>  [97630] 100.19980  99.88994  99.87993  99.70958  99.71459 100.04999  99.86491 #>  [97637] 100.00500  99.83987  99.91496 100.28958 100.33942 100.14989  99.93998 #>  [97644]  99.86491  99.58414 100.16986  99.60924 100.60318 100.04999  99.76472 #>  [97651] 100.19980  99.70958  99.69453 100.40916 100.51865  99.81984  99.86491 #>  [97658]  99.85990 100.09995  99.41328  99.73465 100.41912  99.64437  99.78477 #>  [97665] 100.36434 100.18483  99.88994 100.32447 100.00500  99.99500 100.68764 #>  [97672]  99.31264  99.89995  99.87993 100.09995  99.67949  99.97500 100.06498 #>  [97679]  99.72462 100.22475  99.71961  99.80481  99.77475 100.29457  99.44345 #>  [97686]  99.91997 100.01000 100.18982 100.03499 100.13491 100.25966  99.70958 #>  [97693] 100.17485 100.07497  99.84488  99.40825 100.14989  99.87993  99.61928 #>  [97700]  99.98000  99.86491  99.99000  99.88493  99.86992 100.05998 100.09495 #>  [97707] 100.23971  99.22197  99.95999  99.39819  99.87993 100.13491 100.23472 #>  [97714]  99.98500  99.99000  99.54898 100.13491  99.63935 100.40418 100.41414 #>  [97721] 100.04499 100.31949 100.19481  99.87492  99.62931 100.39422  99.48367 #>  [97728] 100.13990 100.11493 100.08496 100.17984  99.24717  99.79479  99.53391 #>  [97735]  99.84989  99.70456  99.66945  99.66444 100.09995 100.58827 100.09495 #>  [97742] 100.27462  99.63935 100.69757 100.37928 100.40418  99.89995 100.02500 #>  [97749] 100.33444 100.41912 100.23971  99.84488 100.52363 100.04999 100.31949 #>  [97756]  99.45351 100.04999  99.68952 100.26964 100.36932  99.81984 100.08996 #>  [97763] 100.14989 100.31949 100.32946 100.16486 100.30454  99.82485 100.01500 #>  [97770] 100.02000 100.14989 100.15488  99.84989 100.11493  99.74969  99.75470 #>  [97777]  99.90996 100.21477 100.07997 100.32447 100.05998 100.28958 100.04999 #>  [97784] 100.22475  99.87993 100.25966 100.19481  99.87993  99.97000 100.12992 #>  [97791] 100.19980  99.67949 100.00500  99.82986  99.92998  99.79479 100.18982 #>  [97798] 100.20479 100.39920 100.16986 100.23971 100.44899 100.50871 100.10494 #>  [97805]  99.77976 100.38426 100.21477 100.16486  99.42334  99.95999  99.91496 #>  [97812] 100.25966 100.04999  99.87492  99.96499 100.08996  99.57409 100.21477 #>  [97819] 100.45895  99.74467  99.39819  99.78477 100.47885  99.79980 100.25468 #>  [97826]  99.98500  99.79980 100.26964  99.55401 100.27961 100.17984 100.03499 #>  [97833]  99.77475  99.50879 100.14490  99.91496  99.57911 100.06498  99.70958 #>  [97840] 100.32447  99.91997 100.46392 100.09995 100.22974 100.23971  99.83486 #>  [97847]  99.83987 100.39422  99.83486  99.97000 100.02000  99.51884  99.69955 #>  [97854] 100.30454 100.12992  99.80481 100.00000  99.81483  99.94498  99.63433 #>  [97861] 100.32447  99.72963 100.17485 100.02000  99.78477 100.15987  99.78477 #>  [97868]  99.81984 100.12492  99.93498 100.04499 100.39920  99.71961 100.26964 #>  [97875]  99.62429 100.21976 100.38426  99.53391  99.84989 100.08496 100.15488 #>  [97882] 100.40418 100.30952  99.63935 100.04499  99.20685  99.55903 100.10494 #>  [97889] 100.44899  99.42837 100.07497  99.95999 100.26465  99.74969 100.34441 #>  [97896]  99.67447  99.64437 100.22475 100.22475 100.38426 100.29955 100.23971 #>  [97903]  99.84989 100.30952 100.00000 100.01000  99.85990 100.16986 100.22475 #>  [97910] 100.02500 100.35935  99.54898  99.84488  99.72963 100.51865 100.04499 #>  [97917] 100.03999  99.79479 100.40916  99.31264  99.75971  99.84488  99.93498 #>  [97924]  99.66945  99.92998 100.27462  99.87993 100.17984  99.89995  99.75971 #>  [97931] 100.43406  99.38310 100.26964  99.96499 100.42410 100.06998  99.84488 #>  [97938] 100.00000  99.73465 100.44401 100.15488  99.87993  99.83987  99.82986 #>  [97945]  99.62429  99.55401  99.52387 100.22974 100.17485  99.52889 100.01500 #>  [97952] 100.11493  99.66444  99.80982  99.42837 100.01500 100.69260 100.25468 #>  [97959]  99.75470  99.52387 100.00500  99.70456 100.05998  99.98500 100.15987 #>  [97966]  99.72462  99.67949  99.61928 100.46890 100.17984  99.93998  99.58414 #>  [97973] 100.19481  99.80481 100.24969  99.82986  99.95999 100.03000 100.80179 #>  [97980] 100.01000  99.77475  99.61928 100.27961 100.13990 100.07997 100.45397 #>  [97987] 100.07997 100.47388 100.10994 100.07997 100.02500 100.18483  99.59418 #>  [97994]  99.68952 100.53855  99.50879 100.41414  99.86992 100.27961 100.14490 #>  [98001] 100.02500  99.90996  99.87993  99.98500  99.74467  99.48367 100.47388 #>  [98008] 100.23971  99.61426 100.22974  99.87993  99.73966 100.38426  99.59418 #>  [98015] 100.20479 100.00000 100.37430  99.89494 100.06498 100.15488  99.73966 #>  [98022]  99.30257 100.09495 100.03000  99.98000  99.68952 100.12492  99.84989 #>  [98029]  99.81483  99.67447 100.04999  99.77475  99.94999  99.88493 100.31451 #>  [98036] 100.14490  99.99000  99.54898  99.64437 100.13990  99.80481 100.11493 #>  [98043] 100.06498 100.12992 100.22974 100.07997 100.24969 100.12992  99.82485 #>  [98050] 100.09495 100.13491 100.47885  99.96499 100.22974  99.88994  99.89995 #>  [98057] 100.17984 100.11493 100.08496 100.00000  99.57911  99.73966  99.77475 #>  [98064] 100.29955 100.17984  99.76472 100.02500 100.23472 100.40418 100.15987 #>  [98071] 100.36932  99.57409  99.93998 100.08996  99.83486 100.05498  99.82485 #>  [98078] 100.16986 100.01000 100.26964  99.90996  99.90495  99.64437  99.85990 #>  [98085] 100.14490 100.30454 100.08996 100.14989 100.30454  99.82485 100.31949 #>  [98092] 100.10494 100.41912  99.90495 100.16486  99.74969  99.87993  99.84989 #>  [98099] 100.24470  99.80481 100.70253  99.67949  99.73465  99.81984 100.01500 #>  [98106]  99.34787  99.88994 100.18483  99.91997  99.84989 100.44899  99.93998 #>  [98113]  99.46859 100.38426  99.92497 100.11493  99.97000 100.16486  99.98000 #>  [98120]  99.98500 100.27961 100.29457 100.05998 100.09495 100.37430 100.44899 #>  [98127]  99.78477 100.03000  99.77475  99.94999  99.94999  99.82986  99.62931 #>  [98134]  99.75470  99.83486  99.95499 100.18483 100.25966 100.03499  99.64939 #>  [98141] 100.00000 100.06498 100.29457  99.91496  99.40322 100.10494  99.92497 #>  [98148]  99.46356 100.14989  99.98500  99.97500  99.94498 100.26964  99.68952 #>  [98155]  99.68952 100.10494  99.77976 100.66777  99.80982 100.13491  99.52387 #>  [98162]  99.62429 100.22974  99.60924  99.90495 100.08496  99.51382 100.15488 #>  [98169]  99.95499  99.98500  99.72462 100.24969  99.81483  99.62931 100.28460 #>  [98176]  99.94498  99.64437 100.13990 100.22974 100.21477 100.12992 100.30454 #>  [98183]  99.43842  99.90996 100.24969 100.04999 100.06498  99.90495 100.10994 #>  [98190]  99.33781 100.39422  99.68450 100.24470  99.94498 100.03999 100.30454 #>  [98197] 100.00500 100.20479 100.13491 100.32447 100.20479  99.75971 100.01500 #>  [98204] 100.34441 100.36932 100.47885  99.83486 100.39920 100.70750  99.78978 #>  [98211] 100.19980 100.19481  99.79980  99.92497  99.70958  99.92497 100.01000 #>  [98218] 100.58827 100.22475  99.85489  99.56405  99.55903 100.52860 100.01500 #>  [98225] 100.35437  99.51884 100.12492 100.11493 100.03000 100.04499 100.36932 #>  [98232] 100.03999 100.28958 100.19980  99.56405 100.07497 100.07997  99.66945 #>  [98239]  99.76472  99.93998  99.76973 100.25468  99.77475 100.03499 100.10994 #>  [98246]  99.80481  99.77475  99.96499 100.35935 100.27961  99.98000  99.20181 #>  [98253] 100.32447 100.03999 100.12992 100.39920 100.26964  99.42334  99.77976 #>  [98260] 100.17485 100.08496 100.12492 100.09495  99.89494 100.09995  99.81483 #>  [98267]  99.94498 100.32447  99.73966  99.76973 100.02500  99.73966  99.87993 #>  [98274] 100.52363  99.95999 100.24969  99.94999 100.06998  99.48367  99.53894 #>  [98281]  99.92998 100.00000 100.49378 100.23971 100.13491 100.44401 100.11993 #>  [98288]  99.73966 100.06998  99.65942 100.27462 100.18982  99.56907  99.93498 #>  [98295]  99.71459 100.09995 100.33444  99.90495  99.91496 100.01500  99.61426 #>  [98302] 100.08496 100.30952  99.56907  99.99500 100.60815 100.37928 100.36434 #>  [98309]  99.76472  99.94999  99.87993  99.73465  99.59418  99.86491 100.08996 #>  [98316]  99.91496  99.78978 100.00500 100.10994  99.70958 100.24470  99.44848 #>  [98323]  99.65942 100.34939  99.83486 100.50373 100.43406 100.03499 100.27961 #>  [98330] 100.59324  99.39316 100.23971 100.01000  99.63935 100.15488  99.65942 #>  [98337] 100.40916  99.76472 100.66777  99.54898  99.50879 100.57833  99.80481 #>  [98344]  99.96499  99.87993 100.06998 100.25966  99.51884 100.09995 100.35437 #>  [98351]  99.97500 100.09495  99.82485  99.86992  99.90495 100.37430  99.76973 #>  [98358]  99.58916  99.85489  99.65942 100.00500  99.76973  99.83486 100.17984 #>  [98365]  99.91997  99.91496  99.86992  99.97500  99.85990 100.23472 100.17485 #>  [98372]  99.83987 100.37430 100.04999 100.22974  99.59418  99.65440 100.25966 #>  [98379]  99.86992 100.27961  99.82986  99.93998 100.48383  99.77976  99.68450 #>  [98386] 100.09495 100.07997  99.49372  99.90996  99.75470  99.92497  99.76973 #>  [98393] 100.29457  99.56907 100.34939 100.29955  99.82485 100.26964  99.62429 #>  [98400] 100.27462  99.80481 100.28460 100.23472 100.16986  99.98500  99.61426 #>  [98407]  99.88994  99.67949  99.89494 100.55347 100.33444  99.67949  99.87492 #>  [98414] 100.03999 100.39920 100.16986 100.19980 100.27961 100.36932  99.72963 #>  [98421] 100.51865 100.03999 100.49876 100.23472  99.95499 100.16986  99.90495 #>  [98428] 100.26964  99.42334 100.19980 100.73232 100.40418 100.29457 100.24470 #>  [98435]  99.86491 100.40418  99.88994 100.28460 100.03999  99.84989 100.05498 #>  [98442] 100.02000 100.12492 100.45895 100.01000 100.06498 100.29955 100.14490 #>  [98449] 100.09495  99.48367  99.71459  99.80982  99.76472  99.47361  99.95999 #>  [98456]  99.88493  99.88994  99.89995 100.20978 100.06498  99.89995  99.80481 #>  [98463] 100.25468  99.52889 100.19980  99.70456  99.90495  99.76973 100.00000 #>  [98470]  99.86491  99.44848  99.44848  99.89995 100.51368  99.42334  99.91997 #>  [98477] 100.53855 100.08996 100.23971 100.07497  99.92497  99.85489  99.75470 #>  [98484]  99.69955  99.84989  99.94999 100.09995  99.66945  99.80982 100.34939 #>  [98491] 100.24969 100.08496 100.17485  99.66444  99.84488 100.05498 100.05498 #>  [98498] 100.16986 100.16486 100.09995 100.34939  99.82485 100.08496  99.97000 #>  [98505]  99.77475 100.17485  99.56907 100.58827 100.05998 100.02500 100.06998 #>  [98512]  99.80481 100.39920 100.09995 100.24969  99.89494  99.88994 100.02500 #>  [98519]  99.50879 100.12992 100.31949  99.97000 100.08996 100.03999 100.29955 #>  [98526]  99.68952 100.38426 100.16486 100.01000  99.54898  99.76472  99.98000 #>  [98533] 100.26465 100.35437 100.21477 100.56341 100.15488  99.77976  99.89494 #>  [98540] 100.23472 100.09495 100.49378  99.90495 100.11993 100.07497 100.42410 #>  [98547] 100.03999  99.57409 100.04999  99.88493 100.53855 100.18483 100.08996 #>  [98554] 100.03000  99.70456  99.81483  99.64939  99.88493 100.01000 100.30952 #>  [98561] 100.29457 100.27961  99.84989 100.07497 100.31451 100.49378 100.10994 #>  [98568] 100.11493  99.98000 100.19481  99.69453  99.28243  99.59920  99.68450 #>  [98575] 100.18483  99.70958  99.93498 100.41912  99.82485 100.43406  99.81984 #>  [98582]  99.64939  99.73966 100.18483 100.29955  99.94498 100.10994  99.98500 #>  [98589] 100.33942  99.67949  99.46356  99.66945  99.41831 100.00000  99.92998 #>  [98596] 100.15987  99.58414  99.98500  99.63433  99.81483  99.88493 100.07997 #>  [98603]  99.48367 100.35935  99.91997 100.35437  99.80982  99.83486 100.56341 #>  [98610] 100.12492 100.25966  99.66444 100.36434 100.07497 100.08996  99.80481 #>  [98617] 100.15488 100.06998  99.60422  99.93998 100.14989 100.06498 100.55347 #>  [98624] 100.30454 100.28958 100.16486  99.57911  99.84989 100.43406  99.84989 #>  [98631] 100.11493  99.99000 100.12992  99.92998 100.11993 100.30454 100.03499 #>  [98638]  99.88493 100.22974  99.81984  99.64437 100.14989  99.56907  99.56907 #>  [98645]  99.96499  99.98000  99.99500  99.92998  99.85990 100.09995  99.94498 #>  [98652] 100.12492 100.16486 100.37430  99.85990  99.63935  99.75470  99.74467 #>  [98659] 100.02000 100.30952  99.83987 100.03499  99.65440 100.07497 100.15488 #>  [98666] 100.00500 100.11493  99.80982 100.25966 100.38426  99.84989 100.25468 #>  [98673]  99.81483 100.01000 100.11993 100.11993 100.27462 100.17984 100.12992 #>  [98680] 100.11493  99.89995 100.09495  99.73966  99.87492  99.98000 100.14490 #>  [98687]  99.81483  99.82485  99.33277 100.04499  99.92497 100.07997 100.05498 #>  [98694]  99.74467 100.36932  99.60422  99.95499 100.01000  99.83987  99.84989 #>  [98701]  99.58414 100.67770 100.01000 100.11993 100.50373  99.93998  99.88493 #>  [98708]  99.62931  99.80982 100.19481 100.12992 100.52860 100.14490  99.95999 #>  [98715] 100.22974 100.14490  99.76973 100.01500 100.41912  99.85489  99.46356 #>  [98722] 100.31949  99.89995 100.26964 100.40916 100.24470  99.68450 100.74225 #>  [98729] 100.01500 100.33444  99.86491  99.92497  99.77475 100.45895  99.64437 #>  [98736] 100.13491 100.24969 100.21976  99.50879  99.61928  99.95999 100.34441 #>  [98743]  99.70456  99.94999 100.20479 100.12992  99.78477  99.69955  99.17661 #>  [98750] 100.13491 100.16986 100.30454 100.19980 100.26964  99.91997 100.39920 #>  [98757]  99.79479  99.64939  99.83987  99.65440  99.64437 100.48383 100.05998 #>  [98764] 100.12992  99.75470  99.62429 100.18982  99.56405 100.37928 100.21477 #>  [98771]  99.87993  99.78978 100.13491  99.91496  99.76472  99.47864  99.43842 #>  [98778] 100.05498  99.94498 100.32447 100.31451  99.96499 100.32946  99.87492 #>  [98785]  99.97000  99.82485 100.09495 100.03499  99.48367  99.88994  99.84488 #>  [98792] 100.00500  99.83486 100.41912 100.07997  99.85990  99.71459 100.40418 #>  [98799] 100.80675 100.20978 100.40916 100.38924 100.26465  99.92497 100.32946 #>  [98806] 100.51865 100.21477 100.08996  99.62931 100.06998  99.75971 100.65287 #>  [98813]  99.86992  99.93998 100.31949 100.11493  99.81984  99.71961 100.10494 #>  [98820]  99.71961  99.59920  99.86491  99.85990 100.14490  99.99000  99.90996 #>  [98827]  99.90495 100.14989  99.91997 100.08496  99.90495 100.23971  99.77976 #>  [98834]  99.97000 100.43904 100.10494  99.75971  99.91496  99.89995  99.94999 #>  [98841]  99.49874  99.89494 100.12992 100.01500  99.76472  99.94999 100.08996 #>  [98848]  99.94999  99.85990 100.09495  99.84488  99.71961 100.19980 100.74225 #>  [98855] 100.81171  99.86491  99.61426  99.77976 100.05998 100.73728  99.64939 #>  [98862] 100.03000  99.98500 100.08496  99.85489 100.14490  99.92998  99.92497 #>  [98869]  99.85489  99.85990  99.81984  99.92998  99.72963  99.82986 100.19481 #>  [98876]  99.83486  99.99000 100.12992 100.15987 100.16986  99.63935 100.06998 #>  [98883] 100.32946 100.31451 100.22475 100.69260 100.34441 100.88112  99.61426 #>  [98890]  99.90996 100.04499 100.26964 100.23472  99.70456 100.12992  99.82986 #>  [98897] 100.06998 100.12492  99.83486  99.52387 100.56838  99.93998 100.25468 #>  [98904] 100.02500 100.05998 100.28460 100.03999 100.30454  99.55903 100.02500 #>  [98911] 100.27961 100.34939 100.21477  99.67447  99.24717  99.93498 100.52363 #>  [98918]  99.61426 100.26465  99.38813 100.08496 100.15987 100.06998 100.15488 #>  [98925]  99.46356 100.10494  99.93998  99.83987  99.94498  99.89995 100.15987 #>  [98932] 100.46890 100.27462 100.14490 100.22475  99.83486 100.10494 100.07997 #>  [98939] 100.12992 100.41912 100.30952 100.43904 100.09995  99.76472 100.02000 #>  [98946] 100.27961 100.33942 100.11493 100.06498  99.81984 100.27961 100.23971 #>  [98953]  99.70456 100.27961  99.74969 100.22974  99.88994 100.20978  99.79479 #>  [98960]  99.53391  99.30760  99.60422  99.76472 100.35437 100.30454  99.52889 #>  [98967] 100.28958 100.02000 100.22974  99.93998  99.81483  99.81483 100.27462 #>  [98974]  99.96499 100.23971  99.98500 100.11993  99.81483  99.80982  99.70456 #>  [98981]  99.83486 100.25966  99.78978  99.78477  99.87492  99.45853  99.87492 #>  [98988]  99.93498  99.88493 100.48383 100.18982 100.22974  99.78978 100.30952 #>  [98995] 100.53855 100.12492  99.35794 100.10494 100.18982  99.83987 100.30454 #>  [99002] 100.13990  99.83486  99.81483  99.70958  99.85990 100.30454  99.82485 #>  [99009]  99.34787  99.99000  99.87492  99.95499  99.91997 100.04999  99.79479 #>  [99016] 100.05998 100.07997  99.84989 100.88607 100.25468  99.87492  99.90996 #>  [99023] 100.05998 100.05998 100.59821 100.15488  99.57911 100.08496  99.97000 #>  [99030]  99.72462 100.60318  99.89995  99.42334  99.97000  99.90495  99.88994 #>  [99037] 100.23472 100.06998  99.88994 100.11993 100.23971 100.41414  99.89494 #>  [99044]  99.99000  99.68952 100.49378  99.84488  99.84989 100.02000 100.45895 #>  [99051] 100.47388 100.05498 100.10994  99.87492 100.08496  99.64939  99.85990 #>  [99058]  99.76472 100.18483  99.90996  99.94498 100.38924  99.53391 100.12992 #>  [99065]  99.91496 100.37430  99.94999  99.99000 100.28958  99.77976  99.70456 #>  [99072] 100.28460 100.15488  99.98000  99.52889  99.48367  99.60924 100.22475 #>  [99079] 100.23971  99.84989 100.03499  99.42334  99.88493  99.95999  99.78978 #>  [99086] 100.14989  99.80481 100.40916  99.99500  99.97000 100.38924  99.89494 #>  [99093]  99.90495  99.89494  99.94999  99.57911 100.05498  99.57409 100.41912 #>  [99100]  99.82986  99.60924 100.22475  99.85990 100.14490  99.91496 100.01500 #>  [99107]  99.93998 100.16486  99.90996  99.52387 100.21477 100.12992  99.62931 #>  [99114]  99.73966  99.63433  99.85489 100.41414  99.64437 100.05498  99.74467 #>  [99121]  99.91496 100.05998 100.24969  99.76472 100.28460  99.72462  99.67949 #>  [99128] 100.06498  99.72462 100.24969 100.07997 100.34939  99.53391 100.03000 #>  [99135]  99.62931  99.78978  99.97500  99.95999 100.26465 100.04499 100.49378 #>  [99142] 100.31451 100.16986  99.80481  99.71961 100.23472 100.18982 100.16486 #>  [99149]  99.79479  99.56907 100.31451  99.89995  99.82485 100.68267  99.82986 #>  [99156] 100.57336  99.81984 100.19481 100.45397 100.42908 100.54850 100.13990 #>  [99163]  99.68952 100.32447 100.35935  99.97500 100.15987 100.35437  99.94999 #>  [99170] 100.62306 100.11993 100.04499 100.17984  99.77475 100.31451 100.24969 #>  [99177] 100.03000 100.22974  99.59418 100.28460  99.99500  99.88994 100.03000 #>  [99184] 100.29955 100.02000 100.12492  99.72963 100.30952  99.35794 100.17984 #>  [99191] 100.23971 100.20978 100.16986  99.88994 100.29955  99.92998 100.17984 #>  [99198] 100.33942 100.02500  99.96499  99.82485 100.41912  99.95499  99.88493 #>  [99205] 100.12492 100.38924 100.34441 100.27961  99.84488 100.13491 100.56838 #>  [99212]  99.44848 100.16986 100.05998  99.80481 100.02500  99.84488 100.48881 #>  [99219]  99.67447  99.84488 100.18982  99.87993 100.25966  99.85489  99.70456 #>  [99226]  99.66945  99.97000 100.15987 100.24969 100.03499 100.33444  99.58916 #>  [99233] 100.60318  99.73465  99.93498  99.98000  99.63935 100.05498 100.05498 #>  [99240] 100.09495  99.71961 100.12992 100.43904 100.09495 100.28460 100.23472 #>  [99247] 100.07497  99.82986 100.17485  99.36297 100.12992 100.05998  99.82485 #>  [99254] 100.41912 100.02500 100.41912 100.33942  99.43842  99.80982 100.23472 #>  [99261] 100.03999  99.63935 100.70253  99.92497  99.58414  99.85990  99.70456 #>  [99268]  99.79980  99.96499  99.58916 100.46392 100.09995  99.79479 100.29457 #>  [99275] 100.04999 100.18982  99.65440  99.73465  99.81483  99.85990  99.78477 #>  [99282] 100.55844  99.52387 100.13990  99.68952  99.64939 100.16486  99.63433 #>  [99289] 100.38426 100.01000 100.10994  99.69955 100.27961  99.97000 100.09495 #>  [99296]  99.76973 100.06998  99.93998 100.12992 100.47885 100.41912 100.05998 #>  [99303]  99.38813 100.06498 100.55347 100.46392  99.93998  99.79980 100.17485 #>  [99310]  99.63433  99.84989 100.22475  99.87993 100.70750 100.05998  99.74467 #>  [99317]  99.92497 100.09995  99.51884  99.93998 100.30952 100.18982 100.16986 #>  [99324] 100.28958 100.56341 100.07997 100.58330  99.75971 100.36932 100.20479 #>  [99331] 100.17485 100.29457  99.51884  99.52387  99.86992  99.87993  99.73966 #>  [99338] 100.10494 100.60318  99.60924 100.00500  99.61928 100.03499 100.55844 #>  [99345]  99.46859  99.94498  99.61426 100.32447  99.86992 100.12492  99.93498 #>  [99352] 100.03000 100.36434  99.81483 100.15987 100.31451  99.44345 100.05498 #>  [99359] 100.22974 100.52860 100.32447 100.60815  99.90495 100.00000  99.82986 #>  [99366]  99.65440  99.90495  99.89995  99.73465 100.26465 100.42410 100.30454 #>  [99373]  99.65942 100.15987 100.26465  99.91997  99.93998 100.50373  99.94498 #>  [99380]  99.82485  99.61426 100.21976  99.73966  99.28243  99.98000  99.68450 #>  [99387] 100.03499  99.62931 100.19980  99.72963  99.69453  99.77976  99.83987 #>  [99394] 100.31949 100.39920 100.25966  99.96499  99.67447  99.64939 100.06498 #>  [99401] 100.15987  99.75971 100.53855  99.81483 100.02500  99.78978 100.28958 #>  [99408] 100.30952 100.00000  99.78477  99.99500  99.98000  99.82485 100.37430 #>  [99415]  99.66444 100.27462 100.11993 100.01000 100.40916  99.82485 100.13491 #>  [99422] 100.49378 100.21477 100.08496 100.09995 100.16486  99.70456 100.33444 #>  [99429] 100.46392  99.95499 100.02500 100.29955 100.27961 100.01000  99.97500 #>  [99436]  99.35291 100.12492 100.10494  99.23205  99.94498  99.94999  99.70456 #>  [99443]  99.64939 100.06998  99.75470 100.52860 100.22475  99.99000  99.79479 #>  [99450]  99.68952 100.00500 100.26465  99.60924  99.56405  99.89995  99.60422 #>  [99457]  99.48367 100.43904  99.82485  99.83486  99.72462 100.40916  99.95499 #>  [99464] 100.45397 100.08996 100.44899  99.92998  99.79980 100.23472  99.78978 #>  [99471]  99.74969  99.95999 100.07997  99.66444 100.22974 100.39422  99.87492 #>  [99478] 100.04999  99.93998  99.89494 100.36434 100.27462  99.76973  99.81483 #>  [99485] 100.34441  99.66444  99.69453 100.14989 100.01000 100.05998 100.44899 #>  [99492]  99.84989 100.33942 100.23472  99.69453  99.66444 100.40418  99.84989 #>  [99499] 100.21976 100.06998 100.09995  99.88493  99.89995 100.15987  99.92998 #>  [99506] 100.55844 100.05998 100.13491 100.29457 100.23472 100.03999 100.14490 #>  [99513]  99.78477 100.11993 100.54850 100.30952  99.62429 100.08496 100.38924 #>  [99520] 100.40916 100.22475 100.30454  99.56405  99.90495 100.08496  99.85489 #>  [99527] 100.35437  99.76472 100.41912  99.72963 100.04999 100.10994 100.02000 #>  [99534]  99.86992  99.70958  99.82485  99.79980 100.12992  99.53894  99.86491 #>  [99541]  99.58916 100.21477 100.17485  99.80481  99.67447  99.70456  99.57409 #>  [99548] 100.46890  99.57911 100.04499 100.08996  99.87993  99.95499  99.52387 #>  [99555]  99.83486  99.70456 100.09495 100.05498 100.54352  99.86992  99.98000 #>  [99562]  99.84989  99.52889 100.14989 100.19980 100.32447 100.04999 100.08996 #>  [99569] 100.02000  99.95499  99.47864  99.62429  99.78477 100.43904  99.58414 #>  [99576] 100.25966  99.68450  99.60422 100.27961 100.33444 100.34441 100.49378 #>  [99583]  99.79980  99.62931 100.49378  99.63935  99.46356 100.14490  99.41831 #>  [99590] 100.46392  99.93498  99.78978 100.20978  99.80982 100.05498 100.12992 #>  [99597] 100.16486 100.12992  99.93498  99.89995  99.75470  99.87492  99.89494 #>  [99604]  99.87492  99.55903  99.53894  99.97500 100.10994 100.17984  99.75470 #>  [99611]  99.93498 100.41912 100.27462  99.56907  99.92497  99.93498 100.13990 #>  [99618] 100.39920  99.76472 100.02500 100.28460  99.69453 100.00000 100.21976 #>  [99625]  99.94498 100.02000 100.33942 100.05998  99.68450 100.29955 100.00000 #>  [99632] 100.25966 100.28958 100.30952 100.03000  99.99000 100.83154 100.03999 #>  [99639]  99.49372 100.13990  99.58414 100.23971 100.35437  99.60924  99.77475 #>  [99646] 100.13990  99.66945  99.87993  99.99500 100.23472 100.29955  99.54396 #>  [99653]  99.83486  99.61426 100.38426  99.74467  99.59920 100.16986 100.47885 #>  [99660] 100.29955 100.12992 100.57833  99.89494  99.93998  99.88994 100.17485 #>  [99667]  99.41831 100.10994  99.81483  99.76472 100.17984 100.55844  99.78978 #>  [99674]  99.90495 100.47388 100.09495 100.20479 100.20479  99.70958  99.74969 #>  [99681] 100.09495  99.99000 100.52363  99.48869 100.00500 100.09495  99.69453 #>  [99688] 100.25966 100.22475  99.96499  99.80982  99.67949  99.76973  99.72963 #>  [99695] 100.39422  99.86491  99.47361 100.39422 100.58330  99.93998 100.06498 #>  [99702] 100.28460  99.36800 100.08996 100.08496  99.42837  99.63433  99.95999 #>  [99709] 100.33942  99.79479 100.15488  99.88493 100.18982 100.15987  99.89494 #>  [99716]  99.91496  99.79479 100.11493  99.79479 100.29457 100.27961 100.55347 #>  [99723] 100.19980 100.63300 100.06998 100.36434  99.54396  99.71459  99.79980 #>  [99730] 100.12492 100.01000  99.98000 100.11993 100.65287 100.25966 100.04999 #>  [99737]  99.89494  99.54396 100.02500 100.28460 100.62306 100.18982  99.54396 #>  [99744] 100.04999  99.83486 100.04499  99.88493 100.22974  99.94999  99.73465 #>  [99751] 100.19481  99.81483  99.68450  99.78978 100.09995 100.08496  99.85489 #>  [99758]  99.87993 100.08996  99.63433 100.39920  99.94498  99.86992 100.17485 #>  [99765] 100.29955  99.29250  99.88493 100.14490  99.96499 100.21477  99.64939 #>  [99772]  99.56907 100.03999  99.63935 100.29457  99.97000  99.97000 100.22974 #>  [99779] 100.12992 100.03999 100.31451  99.93998  99.84989 100.12992 100.10994 #>  [99786] 100.15987  99.68450 100.46890 100.01500 100.29457 100.56341  99.89494 #>  [99793] 100.13491 100.01000 100.14490  99.99500 100.20978  99.95499 100.02500 #>  [99800] 100.36434  99.39819 100.24470 100.00000  99.96499  99.57911  99.75971 #>  [99807] 100.04999  99.55401  99.89494 100.12492  99.19677  99.66444 100.00000 #>  [99814]  99.60924 100.20978  99.76973  99.64939  99.79980  99.88994 100.52860 #>  [99821]  99.77976 100.21477  99.61928  99.83486 100.04499  99.97000 100.04999 #>  [99828] 100.17984 100.20978 100.03000 100.03999  99.95499 100.18483 100.03000 #>  [99835]  99.50377 100.34939  99.73966 100.08996 100.09495  99.78978  99.70456 #>  [99842] 100.40418 100.00500 100.12992 100.22974  99.65440 100.21976  99.93998 #>  [99849] 100.05498 100.16986 100.03000  99.70958  99.56405  99.87492 100.29955 #>  [99856] 100.33942 100.74721 100.25966  99.58414 100.21477  99.87993 100.39422 #>  [99863] 100.24969  99.77976  99.80481 100.20479 100.75217  99.53391  99.92497 #>  [99870] 100.32447  99.77475  99.97500 100.11993 100.63300  99.54898 100.17485 #>  [99877] 100.32946  99.96499 100.33444  99.97000  99.53894  99.90495  99.98500 #>  [99884] 100.09995 100.59821 100.32447 100.19980 100.49876 100.31949  99.73966 #>  [99891] 100.10994  99.62931  99.87993  99.89995  99.61426 100.03000 100.31451 #>  [99898]  99.70456  99.82485 100.03999  99.72462 100.12492  99.91997 100.36932 #>  [99905]  99.92998 100.25966  99.41831  99.68450  99.96499 100.30454 100.37928 #>  [99912]  99.83987  99.80982 100.21976 100.20479 100.38924  99.77475  99.80982 #>  [99919] 100.07497  99.87492 100.04999 100.40418  99.60422  99.73966  99.88493 #>  [99926] 100.08996 100.69757 100.39422  99.86491  99.73966 100.27462  99.94999 #>  [99933]  99.62931  99.98500 100.07497 100.09995 100.58330  99.89995 100.44899 #>  [99940]  99.90996  99.57911 100.08496  99.39819  99.94999  99.70958 100.16986 #>  [99947]  99.67949  99.82485 100.41414 100.08496  99.34787  99.94999  99.94999 #>  [99954]  99.66444 100.18483  99.93998 100.57833  99.77475  99.82986  99.84488 #>  [99961] 100.03000  99.84488  99.43842 100.01500  99.73465  99.64437 100.37928 #>  [99968] 100.19980 100.10994 100.02500 100.16986 100.38426  99.99500  99.86992 #>  [99975] 100.12492  99.56405 100.07497  99.56405  99.81984 100.23472  99.96499 #>  [99982] 100.01000  99.98000 100.06498  99.78477  99.61426  99.57409 100.00000 #>  [99989] 100.29457  99.87993  99.95999  99.20181  99.51382  99.78477  99.48869 #>  [99996] 100.15987 100.50373 100.16486 100.49378 100.36932   ### Using box ## p = 2 range <- matrix(c(1,100, 50,100), ncol = 2, byrow = TRUE ) pts <- genSample(2, 1000, range = range, box = TRUE, argsBox = list(cor = \"idxAlt\")) head(pts) #>      z1 z2 #> [1,] 77 54 #> [2,] 92 64 #> [3,] 74 55 #> [4,] 97 67 #> [5,] 68 67 #> [6,]  8 98 Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] #> min    1   50 #> max  100  100 plot(pts)   pts <- genSample(2, 1000, range = range, box = TRUE, argsBox = list(cor = \"idxAlt\",                  intervals = 6)) plot(pts)   pts <- genSample(2, 1000, range = range, box = TRUE, argsBox = list(cor = \"idxRand\")) plot(pts) pts <- genSample(2, 1000, range = range, box = TRUE,                  argsBox = list(cor = \"idxRand\", prHigh = c(0.1,0.6))) points(pts, pch = 3, col = \"red\") pts <- genSample(2, 1000, range = range, box = TRUE,                  argsBox = list(cor = \"idxRand\", prHigh = c(0,0))) points(pts, pch = 4, col = \"blue\")   pts <- genSample(2, 1000, range = range, box = TRUE, argsBox = list(cor = \"idxSplit\")) plot(pts)   # \\donttest{ ## p = 3 range <- matrix(c(1,100, 1,200, 1,50), ncol = 2, byrow = TRUE ) ini3D(argsPlot3d = list(box = TRUE, axes = TRUE)) pts <- genSample(3, 1000, range = range, box = TRUE, , argsBox = list(cor = \"idxAlt\")) head(pts) #>      z1  z2 z3 #> [1,] 86   6 41 #> [2,] 92   7 42 #> [3,] 83  59 35 #> [4,] 18 167  8 #> [5,] 19 140 15 #> [6,] 11 147  2 Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] [,3] #> min    1    1    1 #> max  100  200   50 plotPoints3D(pts) finalize3D() 3D plot  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\\nAADAfwAAIEIAAMB/AADAfwAASEIAAAAB\"}]},\"context\":{\"shiny\":false,\"rmarkdown\":null},\"vertexShader\":\"#line 2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D(argsPlot3d = list(box = TRUE, axes = TRUE)) pts <- genSample(3, 1000, range = range, box = TRUE, ,                  argsBox = list(cor = \"idxAlt\", intervals = 6)) plotPoints3D(pts) finalize3D() 3D plot  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\\nAADAfwAAIEIAAMB/AADAfwAASEIAAAAB\"}]},\"context\":{\"shiny\":false,\"rmarkdown\":null},\"vertexShader\":\"#line 2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D(argsPlot3d = list(box = TRUE, axes = TRUE)) pts <- genSample(3, 1000, range = range, box = TRUE, , argsBox = list(cor = \"idxRand\")) plotPoints3D(pts) pts <- genSample(3, 1000, range = range, box = TRUE, ,                  argsBox = list(cor = \"idxRand\", prHigh = c(0.1,0.6,0.1))) plotPoints3D(pts, argsPlot3d = list(col=\"red\")) finalize3D() 3D plot  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e4EQqyC0UWDEOQMguiLBWaBB8wKhayKgUcAVKJCgvIKmSUAiGM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\\nwH8AAPBBAADAfwAAwH8AACBCAADAfwAAwH8AAEhCAAAAAQ==\"}]},\"context\":{\"shiny\":false,\"rmarkdown\":null},\"vertexShader\":\"#line 2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D(argsPlot3d = list(box = TRUE, axes = TRUE)) pts <- genSample(3, 1000, range = range, box = TRUE, , argsBox = list(cor = \"idxSplit\")) plotPoints3D(pts) finalize3D() 3D plot  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\\nAADAfwAAIEIAAMB/AADAfwAASEIAAAAB\"}]},\"context\":{\"shiny\":false,\"rmarkdown\":null},\"vertexShader\":\"#line 2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# }  ## other p p <- 10 range <- c(1,100) pts <- genSample(p, 1000, range = range, box = TRUE, argsBox = list(cor = \"idxSplit\")) head(pts) #>      z1 z2 z3 z4 z5 z6 z7 z8 z9 z10 #> [1,] 22 13 83 91  6 67 84 75 18  31 #> [2,] 96 98 76 89  9 29 32 90 33  18 #> [3,] 99 22 22 68 73 16 93 72 21  29 #> [4,] 75  4 95 94  4  4 15 78 24  81 #> [5,] 78 87 94 16 77  3 68 18 32  21 #> [6,] 22 96 19 78  7 78  6  6 80  74 Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] #> min    1    1    1    1    1    1    1    1    1     1 #> max  100  100  100  100  100  100  100  100  100   100"},{"path":"http://relund.github.io/gMOIP/reference/getTexture.html","id":null,"dir":"Reference","previous_headings":"","what":"Save a point symbol as a temporary file. — getTexture","title":"Save a point symbol as a temporary file. — getTexture","text":"Save point symbol temporary file.","code":""},{"path":"http://relund.github.io/gMOIP/reference/getTexture.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Save a point symbol as a temporary file. — getTexture","text":"","code":"getTexture(pch = 16, cex = 10, ...)"},{"path":"http://relund.github.io/gMOIP/reference/getTexture.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Save a point symbol as a temporary file. — getTexture","text":"pch Point number/symbol. cex Point size ... arguments passed plot.","code":""},{"path":"http://relund.github.io/gMOIP/reference/getTexture.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Save a point symbol as a temporary file. — getTexture","text":"file name.","code":""},{"path":"http://relund.github.io/gMOIP/reference/getTexture.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Save a point symbol as a temporary file. — getTexture","text":"","code":"# \\donttest{ # Pch shapes generateRPointShapes<-function(){    oldPar<-par()    par(font=2, mar=c(0.5,0,0,0))    y=rev(c(rep(1,6),rep(2,5), rep(3,5), rep(4,5), rep(5,5)))    x=c(rep(1:5,5),6)    plot(x, y, pch = 0:25, cex=1.5, ylim=c(1,5.5), xlim=c(1,6.5),         axes=FALSE, xlab=\"\", ylab=\"\", bg=\"blue\")    text(x, y, labels=0:25, pos=3)    par(mar=oldPar$mar,font=oldPar$font ) } generateRPointShapes()   getTexture() #> [1] \"/tmp/RtmpvObARA/file1a2f52cda44f.png\" # }"},{"path":"http://relund.github.io/gMOIP/reference/hullSegment.html","id":null,"dir":"Reference","previous_headings":"","what":"Find segments (lines) of a face. — hullSegment","title":"Find segments (lines) of a face. — hullSegment","text":"Find segments (lines) face.","code":""},{"path":"http://relund.github.io/gMOIP/reference/hullSegment.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Find segments (lines) of a face. — hullSegment","text":"","code":"hullSegment(   vertices,   hull = geometry::convhulln(vertices),   tol = mean(mean(abs(vertices))) * sqrt(.Machine$double.eps) )"},{"path":"http://relund.github.io/gMOIP/reference/hullSegment.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Find segments (lines) of a face. — hullSegment","text":"vertices m x p array vertices convex hull, used geometry::convhulln(). hull Tessellation (triangulation) generated geometry::convhulln() hull left empty supplied, generated. tol Tolerance tests inclusion convex hull. can think tol distance point may possibly lie outside hull, still perceived surface hull. numerical slop nothing can ever done exactly . might guess semi-intelligent value tol tol = 1.e-13*mean(abs(vertices(:))) higher dimensions, numerical issues floating point arithmetic probably suggest larger value tol.","code":""},{"path":"http://relund.github.io/gMOIP/reference/hullSegment.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Find segments (lines) of a face. — hullSegment","text":"matrix segments.","code":""},{"path":"http://relund.github.io/gMOIP/reference/hullSegment.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Find segments (lines) of a face. — hullSegment","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/inHull.html","id":null,"dir":"Reference","previous_headings":"","what":"Efficient test for points inside a convex hull in p dimensions. — inHull","title":"Efficient test for points inside a convex hull in p dimensions. — inHull","text":"Efficient test points inside convex hull p dimensions.","code":""},{"path":"http://relund.github.io/gMOIP/reference/inHull.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Efficient test for points inside a convex hull in p dimensions. — inHull","text":"","code":"inHull(   pts,   vertices,   hull = NULL,   tol = mean(mean(abs(as.matrix(vertices)))) * sqrt(.Machine$double.eps) )"},{"path":"http://relund.github.io/gMOIP/reference/inHull.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Efficient test for points inside a convex hull in p dimensions. — inHull","text":"pts \\(nxp\\) array test, \\(n\\) data points, dimension \\(p\\). many points test, efficient call function entire set. vertices \\(mxp\\) array vertices convex hull. May contain redundant (non-vertex) points. hull Tessellation (triangulation) generated convhulln (works dimension hull \\(p\\)). hull NULL, generated. tol Tolerance tests inclusion convex hull. can think tol difference point value may different values hull, still perceived surface hull. numerical slop nothing can ever done exactly . higher dimensions, numerical issues floating point arithmetic probably suggest larger value tol. tol used dimension hull larger one equal \\(p\\).","code":""},{"path":"http://relund.github.io/gMOIP/reference/inHull.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Efficient test for points inside a convex hull in p dimensions. — inHull","text":"integer vector length \\(n\\) values 1 (inside hull), -1 (outside hull) 0 (hull precision indicated tol).","code":""},{"path":"http://relund.github.io/gMOIP/reference/inHull.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Efficient test for points inside a convex hull in p dimensions. — inHull","text":"code inspired Matlab code John D'Errico find point inside hull. dimension hull \\(p\\) PCA may used check (warning given).","code":""},{"path":"http://relund.github.io/gMOIP/reference/inHull.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Efficient test for points inside a convex hull in p dimensions. — inHull","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/inHull.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Efficient test for points inside a convex hull in p dimensions. — inHull","text":"3D plot 3D plot 3D plot","code":"## In 1D vertices <- matrix(4, ncol = 1) pt <- matrix(c(2,4), ncol = 1, byrow = TRUE) inHull(pt, vertices) #> [1] -1  0 vertices <- matrix(c(1,4), ncol = 1) pt <- matrix(c(1,3,4,5), ncol = 1, byrow = TRUE) inHull(pt, vertices) #> [1]  0  1  0 -1  ## In 2D vertices <- matrix(c(2,4), ncol = 2) pt <- matrix(c(2,4, 1,1), ncol = 2, byrow = TRUE) inHull(pt, vertices) #> [1]  0 -1 vertices <- matrix(c(0,0, 3,3), ncol = 2, byrow = TRUE) pt <- matrix(c(0,0, 1,1, 2,2, 3,3, 4,4), ncol = 2, byrow = TRUE) inHull(pt, vertices) #> [1]  0  0  0  0 -1 vertices <- matrix(c(0,0, 0,3, 3,0), ncol = 2, byrow = TRUE) pt <- matrix(c(0,0, 1,1, 4,4), ncol = 2, byrow = TRUE) inHull(pt, vertices) #> [1]  0  1 -1  # \\donttest{ ## in 3D vertices <- matrix(c(2,2,2), ncol = 3, byrow = TRUE) pt <- matrix(c(1,1,1, 3,3,3, 2,2,2, 3,3,2), ncol = 3, byrow = TRUE) inHull(pt, vertices) #> [1] -1 -1  0 -1  vertices <- matrix(c(2,2,2, 4,4,4), ncol = 3, byrow = TRUE) ini3D() plotHull3D(vertices) pt <- matrix(c(1,1,1, 2,2,2, 3,3,3, 4,4,4, 3,3,2), ncol = 3, byrow = TRUE) plotPoints3D(pt, addText = TRUE) finalize3D() 3D plot  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mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}inHull(pt, vertices) #> [1] -1  0  0  0 -1  vertices <- matrix(c(1,0,0, 1,1,0, 1,0,1), ncol = 3, byrow = TRUE) ini3D() plotHull3D(vertices) pt <- matrix(c(1,0.1,0.2, 3,3,2), ncol = 3, byrow = TRUE) plotPoints3D(pt, addText = TRUE) finalize3D() 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}inHull(pt, vertices) #> Warning: Using PCA to transform. Results for pts index 1 might not be accurate! #> [1]  0 -1  vertices <- matrix(c(2,2,2, 2,4,4, 2,2,4, 4,4,2, 4,2,2, 2,4,2, 4,2,4, 4,4,4), ncol = 3,             byrow = TRUE) ini3D() plotHull3D(vertices) pt <- matrix(c(1,1,1, 3,3,3, 2,2,2, 3,3,2), ncol = 3, byrow = TRUE) plotPoints3D(pt, addText = TRUE) finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}inHull(pt, vertices) #> [1] -1  1  0  0 # }  ## In 5D vertices <- matrix(c(4,0,0,0,0, 0,4,0,0,0, 0,0,4,0,0, 0,0,0,4,0, 0,0,0,0,4, 0,0,0,0,0),             ncol = 5, byrow = TRUE) pt <- matrix(c(0.1,0.1,0.1,0.1,0.1, 3,3,3,3,3, 2,0,0,0,0), ncol = 5, byrow = TRUE) inHull(pt, vertices) #> [1]  1 -1  0"},{"path":"http://relund.github.io/gMOIP/reference/ini3D.html","id":null,"dir":"Reference","previous_headings":"","what":"Initialize the RGL window. — ini3D","title":"Initialize the RGL window. — ini3D","text":"Initialize RGL window.","code":""},{"path":"http://relund.github.io/gMOIP/reference/ini3D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Initialize the RGL window. — ini3D","text":"","code":"ini3D(new = TRUE, clear = FALSE, ...)"},{"path":"http://relund.github.io/gMOIP/reference/ini3D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Initialize the RGL window. — ini3D","text":"new new window opened (otherwise current cleared). clear Clear current RGL window. ... arguments passed RGL plotting functions. must done lists. Currently following arguments supported: argsPlot3d: list arguments rgl::plot3d. argsAspect3d: list arguments rgl::aspect3d.","code":""},{"path":"http://relund.github.io/gMOIP/reference/ini3D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Initialize the RGL window. — ini3D","text":"NULL (invisible).","code":""},{"path":"http://relund.github.io/gMOIP/reference/ini3D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Initialize the RGL window. — ini3D","text":"3D plot 3D plot","code":"# \\donttest{ ini3D() pts<-matrix(c(1,1,1,5,5,5), ncol = 3, byrow = TRUE) plotPoints3D(pts) finalize3D() 3D plot  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mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} lim <- c(-1, 7) ini3D(argsPlot3d = list(xlim = lim, ylim = lim, zlim = lim)) plotPoints3D(pts) finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# }"},{"path":"http://relund.github.io/gMOIP/reference/integerPoints.html","id":null,"dir":"Reference","previous_headings":"","what":"Integer points in the feasible region (Ax<=b). — integerPoints","title":"Integer points in the feasible region (Ax<=b). — integerPoints","text":"Integer points feasible region (Ax<=b).","code":""},{"path":"http://relund.github.io/gMOIP/reference/integerPoints.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Integer points in the feasible region (Ax<=b). — integerPoints","text":"","code":"integerPoints(A, b, nonneg = rep(TRUE, ncol(A)))"},{"path":"http://relund.github.io/gMOIP/reference/integerPoints.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Integer points in the feasible region (Ax<=b). — integerPoints","text":"Constraint matrix. b Right hand side. nonneg boolean vector length number variables. entry k TRUE variable k must non-negative.","code":""},{"path":"http://relund.github.io/gMOIP/reference/integerPoints.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Integer points in the feasible region (Ax<=b). — integerPoints","text":"data frame integer points inside feasible region.","code":""},{"path":"http://relund.github.io/gMOIP/reference/integerPoints.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Integer points in the feasible region (Ax<=b). — integerPoints","text":"simple enumeration integer points min max values found using continuous polytope.","code":""},{"path":"http://relund.github.io/gMOIP/reference/integerPoints.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Integer points in the feasible region (Ax<=b). — integerPoints","text":"Lars Relund lars@relund.dk.","code":""},{"path":"http://relund.github.io/gMOIP/reference/integerPoints.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Integer points in the feasible region (Ax<=b). — integerPoints","text":"","code":"A <- matrix( c(3,-2, 1, 2, 4,-2,-3, 2, 1), nc = 3, byrow = TRUE) b <- c(10, 12, 3) integerPoints(A, b) #>       x1 x2 x3 #>  [1,]  0  0  0 #>  [2,]  1  0  0 #>  [3,]  2  0  0 #>  [4,]  3  0  0 #>  [5,]  0  1  0 #>  [6,]  1  1  0 #>  [7,]  2  1  0 #>  [8,]  3  1  0 #>  [9,]  4  1  0 #> [10,]  1  2  0 #> [11,]  2  2  0 #> [12,]  0  0  1 #> [13,]  1  0  1 #> [14,]  2  0  1 #> [15,]  3  0  1 #> [16,]  0  1  1 #> [17,]  1  1  1 #> [18,]  2  1  1 #> [19,]  3  1  1 #> [20,]  1  2  1 #> [21,]  2  2  1 #> [22,]  3  2  1 #> [23,]  0  0  2 #> [24,]  1  0  2 #> [25,]  2  0  2 #> [26,]  1  1  2 #> [27,]  2  1  2 #> [28,]  3  1  2 #> [29,]  1  2  2 #> [30,]  2  2  2 #> [31,]  3  2  2 #> [32,]  4  2  2 #> [33,]  2  3  2 #> [34,]  0  0  3 #> [35,]  1  0  3 #> [36,]  2  0  3 #> [37,]  1  1  3 #> [38,]  2  1  3 #> [39,]  3  1  3 #> [40,]  2  2  3 #> [41,]  3  2  3 #> [42,]  2  3  3 #> [43,]  3  3  3 #> [44,]  1  0  4 #> [45,]  2  0  4 #> [46,]  1  1  4 #> [47,]  2  1  4 #> [48,]  2  2  4 #> [49,]  3  2  4 #> [50,]  3  3  4 #> [51,]  4  3  4 #> [52,]  1  0  5 #> [53,]  2  1  5 #> [54,]  2  2  5 #> [55,]  3  2  5 #> [56,]  3  3  5 #> [57,]  1  0  6 #> [58,]  2  1  6 #> [59,]  3  3  6 #> [60,]  4  4  6  A <- matrix(c(9, 10, 2, 4, -3, 2), ncol = 2, byrow = TRUE) b <- c(90, 27, 3) integerPoints(A, b) #>       x1 x2 #>  [1,]  0  0 #>  [2,]  1  0 #>  [3,]  2  0 #>  [4,]  3  0 #>  [5,]  4  0 #>  [6,]  5  0 #>  [7,]  6  0 #>  [8,]  7  0 #>  [9,]  8  0 #> [10,]  9  0 #> [11,] 10  0 #> [12,]  0  1 #> [13,]  1  1 #> [14,]  2  1 #> [15,]  3  1 #> [16,]  4  1 #> [17,]  5  1 #> [18,]  6  1 #> [19,]  7  1 #> [20,]  8  1 #> [21,]  1  2 #> [22,]  2  2 #> [23,]  3  2 #> [24,]  4  2 #> [25,]  5  2 #> [26,]  6  2 #> [27,]  7  2 #> [28,]  1  3 #> [29,]  2  3 #> [30,]  3  3 #> [31,]  4  3 #> [32,]  5  3 #> [33,]  6  3 #> [34,]  2  4 #> [35,]  3  4 #> [36,]  4  4 #> [37,]  5  4 #> [38,]  3  5"},{"path":"http://relund.github.io/gMOIP/reference/loadView.html","id":null,"dir":"Reference","previous_headings":"","what":"Help function to load the view angle for the RGL 3D plot from a file or matrix — loadView","title":"Help function to load the view angle for the RGL 3D plot from a file or matrix — loadView","text":"Help function load view angle RGL 3D plot file matrix","code":""},{"path":"http://relund.github.io/gMOIP/reference/loadView.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Help function to load the view angle for the RGL 3D plot from a file or matrix — loadView","text":"","code":"loadView(   fname = \"view.RData\",   v = NULL,   clear = TRUE,   close = FALSE,   zoom = 1,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/loadView.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Help function to load the view angle for the RGL 3D plot from a file or matrix — loadView","text":"fname file name view. v view matrix. clear Call rgl::clear3d(). close Call rgl::close3d(). zoom Zoom level. ... Additional parameters passed rgl::view3d().","code":""},{"path":"http://relund.github.io/gMOIP/reference/loadView.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Help function to load the view angle for the RGL 3D plot from a file or matrix — loadView","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/loadView.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Help function to load the view angle for the RGL 3D plot from a file or matrix — loadView","text":"3D plot 3D plot","code":"# \\donttest{ view <- matrix( c(-0.412063330411911, -0.228006735444069, 0.882166087627411, 0, 0.910147845745087, -0.0574885793030262, 0.410274744033813, 0, -0.042830865830183, 0.97196090221405, 0.231208890676498, 0, 0, 0, 0, 1), nc = 4)  loadView(v = view) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}A <- matrix( c(3, 2, 5, 2, 1, 1, 1, 1, 3, 5, 2, 4), nc = 3, byrow = TRUE) b <- c(55, 26, 30, 57) obj <- c(20, 10, 15) plotPolytope(A, b, plotOptimum = TRUE, obj = obj, labels = \"coord\") 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} # Try to modify the angle in the RGL window saveView(print = TRUE)  # get the view angle to insert into R code #> view <- matrix( c(-0.412063330411911, -0.228006735444069, 0.882166087627411, 0, 0.910147845745087, -0.0574885793030262, 0.410274744033813, 0, -0.042830865830183, 0.97196090221405, 0.231208890676498, 0, 0, 0, 0, 1), nc = 4) # }"},{"path":"http://relund.github.io/gMOIP/reference/mergeLists.html","id":null,"dir":"Reference","previous_headings":"","what":"Merge two lists to one — mergeLists","title":"Merge two lists to one — mergeLists","text":"Merge two lists one","code":""},{"path":"http://relund.github.io/gMOIP/reference/mergeLists.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Merge two lists to one — mergeLists","text":"","code":"mergeLists(a, b)"},{"path":"http://relund.github.io/gMOIP/reference/mergeLists.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Merge two lists to one — mergeLists","text":"First list. b Second list.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotCones2D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot a cone defined by a point in 2D. — plotCones2D","title":"Plot a cone defined by a point in 2D. — plotCones2D","text":"cones defined point plus/minus rays R2.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotCones2D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot a cone defined by a point in 2D. — plotCones2D","text":"","code":"plotCones2D(   pts,   drawPoint = TRUE,   drawLines = TRUE,   drawPolygons = TRUE,   direction = 1,   rectangle = FALSE,   drawPlot = TRUE,   m = apply(pts, 2, min) - 5,   M = apply(pts, 2, max) + 5,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/plotCones2D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot a cone defined by a point in 2D. — plotCones2D","text":"pts matrix point row. drawPoint Draw points defining cone. drawLines Draw lines cone. drawPolygons Draw polygons cone. direction Ray direction. 'th entry positive, consider 'th column pts plus value greater equal zero (minimize objective $$). negative, consider 'th column pts minus value greater equal zero (maximize objective $$). rectangle Draw cone rectangle. drawPlot Draw ggplot. Set FALSE want combine hulls single plot. m Minimum values bounding box. M Maximum values bounding box. ... arguments passed plotHull2D","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotCones2D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot a cone defined by a point in 2D. — plotCones2D","text":"ggplot object","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotCones2D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Plot a cone defined by a point in 2D. — plotCones2D","text":"","code":"library(ggplot2) plotCones2D(c(4,4), drawLines = FALSE, drawPoint = TRUE,            argsGeom_point = list(col = \"red\", size = 10),            argsGeom_polygon = list(alpha = 0.5), rectangle = TRUE)  plotCones2D(c(1,1), rectangle = FALSE)  plotCones2D(matrix(c(3,3,2,2), ncol = 2, byrow = TRUE))   ## The Danish flag lst <- list(argsGeom_polygon = list(alpha = 0.85, fill = \"red\"),             drawPlot = FALSE, drawPoint = FALSE, drawLines = FALSE) p1 <- do.call(plotCones2D, args = c(list(c(2,4), direction = 1), lst)) p2 <- do.call(plotCones2D, args = c(list(c(1,2), direction = -1), lst)) p3 <- do.call(plotCones2D, args = c(list(c(2,2), direction = c(1,-1)), lst)) p4 <- do.call(plotCones2D, args = c(list(c(1,4), direction = c(-1,1)), lst)) ggplot() + p1 + p2 + p3 + p4 + theme_void()"},{"path":"http://relund.github.io/gMOIP/reference/plotCones3D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot a cone defined by a point in 3D. — plotCones3D","title":"Plot a cone defined by a point in 3D. — plotCones3D","text":"cones defined point plus R3+.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotCones3D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot a cone defined by a point in 3D. — plotCones3D","text":"","code":"plotCones3D(   pts,   drawPoint = TRUE,   drawLines = TRUE,   drawPolygons = TRUE,   direction = 1,   rectangle = FALSE,   useRGLBBox = TRUE,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/plotCones3D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot a cone defined by a point in 3D. — plotCones3D","text":"pts matrix point row. drawPoint Draw points defining cone. drawLines Draw lines cone. drawPolygons Draw polygons cone. direction Ray direction. 'th entry positive, consider 'th column pts plus value greater equal zero (minimize objective $$). negative, consider 'th column pts minus value greater equal zero (maximize objective $$). rectangle Draw cone rectangle. useRGLBBox Use RGL bounding box ray limits cone. ... arguments passed RGL plotting functions. must done lists (see examples). Currently following arguments supported: argsPlot3d: list arguments rgl::plot3d. argsSegments3d: list arguments rgl::segments3d. argsPolygon3d: list arguments rgl::polygon3d.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotCones3D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot a cone defined by a point in 3D. — plotCones3D","text":"Object ids (invisible).","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotCones3D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Plot a cone defined by a point in 3D. — plotCones3D","text":"3D plot 3D plot","code":"# \\donttest{ ini3D(argsPlot3d = list(xlim = c(0,6), ylim = c(0,6), zlim = c(0,6))) plotCones3D(c(4,4,4), drawLines = FALSE, drawPoint = TRUE,            argsPlot3d = list(col = \"red\", size = 10),            argsPolygon3d = list(alpha = 1), rectangle = TRUE) plotCones3D(c(1,1,1), rectangle = FALSE) plotCones3D(matrix(c(3,3,3,2,2,2), ncol = 3, byrow = TRUE)) finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D(argsPlot3d = list(xlim = c(0,6), ylim = c(0,6), zlim = c(0,6))) plotCones3D(c(4,4,4), direction = 1) plotCones3D(c(2,2,2), direction = -1) plotCones3D(c(4,2,2), direction = c(1,-1,-1)) ids <- plotCones3D(c(2,2,4), direction = c(-1,-1,1)) finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - 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'n' labels show points. equal coord add coordinates points. Otherwise number points one.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotCriterion2D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Create a plot of the criterion space of a bi-objective problem — plotCriterion2D","text":"ggplot object.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotCriterion2D.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Create a plot of the criterion space of a bi-objective problem — plotCriterion2D","text":"Currently points checked dominance. , MILP models nondominated points may fact dominated segment.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotCriterion2D.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Create a plot of the criterion space of a bi-objective problem — plotCriterion2D","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotCriterion2D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Create a plot of the criterion space of a bi-objective problem — plotCriterion2D","text":"3D plot 3D plot 3D plot 3D plot","code":"### Set up 2D plot # Function for plotting the solution and criterion space in one plot (two variables) plotBiObj2D <- function(A, b, obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = FALSE,    labels = \"numb\",    addTriangles = TRUE,    addHull = TRUE) {    p1 <- plotPolytope(A, b, type = type, crit = crit, faces = faces, plotFaces = plotFaces,                       plotFeasible = plotFeasible, plotOptimum = plotOptimum, labels = labels)    p2 <- plotCriterion2D(A, b, obj, type = type, crit = crit, addTriangles = addTriangles,                          addHull = addHull, plotFeasible = plotFeasible, labels = labels)    gridExtra::grid.arrange(p1, p2, nrow = 1) }   ### Bi-objective problem with two variables A <- matrix(c(-3,2,2,4,9,10), ncol = 2, byrow = TRUE) b <- c(3,27,90)  ## LP model obj <- matrix(    c(7, -10, # first criterion      -10, -10), # second criterion    nrow = 2) plotBiObj2D(A, b, obj, addTriangles = FALSE)   # \\donttest{ ## ILP models with different criteria (maximize) obj <- matrix(c(7, -10, -10, -10), nrow = 2) plotBiObj2D(A, b, obj, type = rep(\"i\", ncol(A)))  obj <- matrix(c(3, -1, -2, 2), nrow = 2) plotBiObj2D(A, b, obj, type = rep(\"i\", ncol(A)))  obj <- matrix(c(-7, -1, -5, 5), nrow = 2) plotBiObj2D(A, b, obj, type = rep(\"i\", ncol(A)))  obj <- matrix(c(-1, -1, 2, 2), nrow = 2) plotBiObj2D(A, b, obj, type = rep(\"i\", ncol(A))) #> Warning: ggrepel: 70 unlabeled data points (too many overlaps). Consider increasing max.overlaps   ## ILP models with different criteria (minimize) obj <- matrix(c(7, -10, -10, -10), nrow = 2) plotBiObj2D(A, b, obj, type = rep(\"i\", ncol(A)), crit = \"min\")  obj <- matrix(c(3, -1, -2, 2), nrow = 2) plotBiObj2D(A, b, obj, type = rep(\"i\", ncol(A)), crit = \"min\")  obj <- matrix(c(-7, -1, -5, 5), nrow = 2) plotBiObj2D(A, b, obj, type = rep(\"i\", ncol(A)), crit = \"min\")  obj <- matrix(c(-1, -1, 2, 2), nrow = 2) plotBiObj2D(A, b, obj, type = rep(\"i\", ncol(A)), crit = \"min\") #> Warning: ggrepel: 70 unlabeled data points (too many overlaps). Consider increasing max.overlaps    # More examples ## MILP model (x1 integer) with different criteria (maximize) obj <- matrix(c(7, -10, -10, -10), nrow = 2) plotBiObj2D(A, b, obj, type = c(\"i\", \"c\"))  obj <- matrix(c(3, -1, -2, 2), nrow = 2) plotBiObj2D(A, b, obj, type = c(\"i\", \"c\"))  obj <- matrix(c(-7, -1, -5, 5), nrow = 2) plotBiObj2D(A, b, obj, type = c(\"i\", \"c\"))  obj <- matrix(c(-1, -1, 2, 2), nrow = 2) plotBiObj2D(A, b, obj, type = c(\"i\", \"c\"))   ## MILP model (x2 integer) with different criteria (minimize) obj <- matrix(c(7, -10, -10, -10), nrow = 2) plotBiObj2D(A, b, obj, type = c(\"c\", \"i\"), crit = \"min\")  obj <- matrix(c(3, -1, -2, 2), nrow = 2) plotBiObj2D(A, b, obj, type = c(\"c\", \"i\"), crit = \"min\")  obj <- matrix(c(-7, -1, -5, 5), nrow = 2) plotBiObj2D(A, b, obj, type = c(\"c\", \"i\"), crit = \"min\")  obj <- matrix(c(-1, -1, 2, 2), nrow = 2) plotBiObj2D(A, b, obj, type = c(\"c\", \"i\"), crit = \"min\")  # }  ### Set up 3D plot # \\donttest{ # Function for plotting the solution and criterion space in one plot (three variables) plotBiObj3D <- function(A, b, obj,                         type = rep(\"c\", ncol(A)),                         crit = \"max\",                         faces = rep(\"c\", ncol(A)),                         plotFaces = TRUE,                         plotFeasible = TRUE,                         plotOptimum = FALSE,                         labels = \"numb\",                         addTriangles = TRUE,                         addHull = TRUE) {    plotPolytope(A, b, type = type, crit = crit, faces = faces, plotFaces = plotFaces,                 plotFeasible = plotFeasible, plotOptimum = plotOptimum, labels = labels)    plotCriterion2D(A, b, obj, type = type, crit = crit, addTriangles = addTriangles,                    addHull = addHull, plotFeasible = plotFeasible, labels = labels) }  ### Bi-objective problem with three variables loadView <- function(fname = \"view.RData\", v = NULL) {    if (!is.null(v)) {       rgl::view3d(userMatrix = v)    } else {       if (file.exists(fname)) {          load(fname)          rgl::view3d(userMatrix = view)       } else {          warning(paste0(\"Can'TRUE load view in file \", fname, \"!\"))       }    } }  ## Ex view <- matrix( c(-0.452365815639496, -0.446501553058624, 0.77201122045517, 0, 0.886364221572876,                   -0.320795893669128, 0.333835482597351, 0, 0.0986008867621422, 0.835299551486969,                   0.540881276130676, 0, 0, 0, 0, 1), nc = 4) loadView(v = view) 3D plot  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gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}Ab <- matrix( c(    1, 1, 2, 5,    2, -1, 0, 3,    -1, 2, 1, 3,    0, -3, 5, 2 ), nc = 4, byrow = TRUE) A <- Ab[,1:3] b <- Ab[,4] obj <- matrix(c(1, -6, 3, -4, 1, 6), nrow = 2)  # LP model plotBiObj3D(A, b, obj, crit = \"min\", addTriangles = FALSE)   # ILP model plotBiObj3D(A, b, obj, type = c(\"i\",\"i\",\"i\"), crit = \"min\")   # MILP model plotBiObj3D(A, b, obj, type = c(\"c\",\"i\",\"i\"), crit = \"min\")  plotBiObj3D(A, b, obj, type = c(\"i\",\"c\",\"i\"), crit = \"min\")  plotBiObj3D(A, b, obj, type = c(\"i\",\"i\",\"c\"), crit = \"min\")  plotBiObj3D(A, b, obj, type = c(\"i\",\"c\",\"c\"), crit = \"min\")  plotBiObj3D(A, b, obj, type = c(\"c\",\"i\",\"c\"), crit = \"min\")  plotBiObj3D(A, b, obj, type = c(\"c\",\"c\",\"i\"), crit = \"min\")    ## Ex view <- matrix( c(0.976349174976349, -0.202332556247711, 0.0761845782399178, 0, 0.0903248339891434,                   0.701892614364624, 0.706531345844269, 0, -0.196427255868912, -0.682940244674683,                   0.703568696975708, 0, 0, 0, 0, 1), nc = 4) loadView(v = view) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}A <- matrix( c(    -1, 1, 0,    1, 4, 0,    2, 1, 0,    3, -4, 0,    0, 0, 4 ), nc = 3, byrow = TRUE) b <- c(5, 45, 27, 24, 10) obj <- matrix(c(1, -6, 3, -4, 1, 6), nrow = 2)  # LP model plotBiObj3D(A, b, obj, crit = \"min\", addTriangles = FALSE, labels = \"coord\")   # ILP model plotBiObj3D(A, b, obj, type = c(\"i\",\"i\",\"i\"))   # MILP model plotBiObj3D(A, b, obj, type = c(\"c\",\"i\",\"i\"))  plotBiObj3D(A, b, obj, type = c(\"i\",\"c\",\"i\"), plotFaces = FALSE)  plotBiObj3D(A, b, obj, type = c(\"i\",\"i\",\"c\"))  plotBiObj3D(A, b, obj, type = c(\"i\",\"c\",\"c\"), plotFaces = FALSE)  plotBiObj3D(A, b, obj, type = c(\"c\",\"i\",\"c\"), plotFaces = FALSE)  plotBiObj3D(A, b, obj, type = c(\"c\",\"c\",\"i\"))    ## Ex view <- matrix( c(-0.812462985515594, -0.029454167932272, 0.582268416881561, 0, 0.579295456409454,                   -0.153386667370796, 0.800555109977722, 0, 0.0657325685024261, 0.987727105617523,                   0.14168381690979, 0, 0, 0, 0, 1), nc = 4) loadView(v = view) 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":1276,\"objects\":{\"1283\":{\"id\":1283,\"type\":\"clipplanes\",\"offsets\":[[-0],[6],[-0],[6],[-0],[6]],\"normals\":\"0\",\"flags\":512},\"1284\":{\"id\":1284,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"1\",\"colors\":\"2\",\"centers\":\"3\",\"ignoreExtent\":false,\"flags\":32832},\"1962\":{\"id\":1962,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"4\",\"colors\":\"5\",\"centers\":\"6\",\"ignoreExtent\":false,\"flags\":32832},\"1964\":{\"id\":1964,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":0,\"floating\":true,\"edge\":[0,1,1]},\"vertices\":\"7\",\"colors\":\"8\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"9\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"1965\":{\"id\":1965,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"10\",\"colors\":\"11\",\"centers\":\"12\",\"ignoreExtent\":false,\"flags\":32832},\"1966\":{\"id\":1966,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"13\",\"colors\":\"15\",\"centers\":\"16\",\"normals\":\"14\",\"ignoreExtent\":false,\"flags\":32811},\"1967\":{\"id\":1967,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"17\",\"colors\":\"18\",\"centers\":\"19\",\"ignoreExtent\":false,\"flags\":32832},\"1968\":{\"id\":1968,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"20\",\"colors\":\"22\",\"centers\":\"23\",\"normals\":\"21\",\"ignoreExtent\":false,\"flags\":32811},\"1969\":{\"id\":1969,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"24\",\"colors\":\"25\",\"centers\":\"26\",\"ignoreExtent\":false,\"flags\":32832},\"1970\":{\"id\":1970,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"27\",\"colors\":\"29\",\"centers\":\"30\",\"normals\":\"28\",\"ignoreExtent\":false,\"flags\":32811},\"1971\":{\"id\":1971,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"31\",\"colors\":\"32\",\"centers\":\"33\",\"ignoreExtent\":false,\"flags\":32832},\"1972\":{\"id\":1972,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"34\",\"colors\":\"36\",\"centers\":\"37\",\"normals\":\"35\",\"ignoreExtent\":false,\"flags\":32811},\"1973\":{\"id\":1973,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"38\",\"colors\":\"39\",\"centers\":\"40\",\"ignoreExtent\":false,\"flags\":32832},\"1974\":{\"id\":1974,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"41\",\"colors\":\"43\",\"centers\":\"44\",\"normals\":\"42\",\"ignoreExtent\":false,\"flags\":32811},\"1975\":{\"id\":1975,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"45\",\"colors\":\"46\",\"centers\":\"47\",\"ignoreExtent\":false,\"flags\":32832},\"1976\":{\"id\":1976,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"48\",\"colors\":\"50\",\"centers\":\"51\",\"normals\":\"49\",\"ignoreExtent\":false,\"flags\":32811},\"1977\":{\"id\":1977,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"52\",\"colors\":\"53\",\"centers\":\"54\",\"ignoreExtent\":false,\"flags\":32832},\"1978\":{\"id\":1978,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"55\",\"colors\":\"57\",\"centers\":\"58\",\"normals\":\"56\",\"ignoreExtent\":false,\"flags\":32811},\"1979\":{\"id\":1979,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"59\",\"colors\":\"60\",\"centers\":\"61\",\"ignoreExtent\":false,\"flags\":32832},\"1980\":{\"id\":1980,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"62\",\"colors\":\"64\",\"centers\":\"65\",\"normals\":\"63\",\"ignoreExtent\":false,\"flags\":32811},\"1981\":{\"id\":1981,\"type\":\"triangles\",\"material\":{\"alpha\":0.4000000059604645,\"smooth\":false,\"isTransparent\":true},\"vertices\":\"66\",\"colors\":\"68\",\"centers\":\"69\",\"normals\":\"67\",\"ignoreExtent\":false,\"flags\":32809},\"1982\":{\"id\":1982,\"type\":\"triangles\",\"material\":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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}A <- matrix( c(    1, 1, 1,    3, 0, 1 ), nc = 3, byrow = TRUE) b <- c(10, 24) obj <- matrix(c(1, -6, 3, -4, 1, 6), nrow = 2)  # LP model plotBiObj3D(A, b, obj, crit = \"min\", addTriangles = FALSE, labels = \"coord\")   # ILP model plotBiObj3D(A, b, obj, type = c(\"i\",\"i\",\"i\"), crit = \"min\", labels = \"n\")   # MILP model plotBiObj3D(A, b, obj, type = c(\"c\",\"i\",\"i\"), crit = \"min\")  plotBiObj3D(A, b, obj, type = c(\"i\",\"c\",\"i\"), crit = \"min\")  plotBiObj3D(A, b, obj, type = c(\"i\",\"i\",\"c\"), crit = \"min\")  plotBiObj3D(A, b, obj, type = c(\"i\",\"c\",\"c\"), crit = \"min\")  plotBiObj3D(A, b, obj, type = c(\"c\",\"i\",\"c\"), crit = \"min\", plotFaces = FALSE)  plotBiObj3D(A, b, obj, type = c(\"c\",\"c\",\"i\"), crit = \"min\", plotFaces = FALSE)    ## Ex view <- matrix( c(-0.412063330411911, -0.228006735444069, 0.882166087627411, 0, 0.910147845745087,                   -0.0574885793030262, 0.410274744033813, 0, -0.042830865830183, 0.97196090221405,                   0.231208890676498, 0, 0, 0, 0, 1), nc = 4) loadView(v = view) 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":1276,\"objects\":{\"1283\":{\"id\":1283,\"type\":\"clipplanes\",\"offsets\":[[-0],[6],[-0],[6],[-0],[6]],\"normals\":\"0\",\"flags\":512},\"1284\":{\"id\":1284,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"1\",\"colors\":\"2\",\"centers\":\"3\",\"ignoreExtent\":false,\"flags\":32832},\"2365\":{\"id\":2365,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"4\",\"colors\":\"5\",\"centers\":\"6\",\"ignoreExtent\":false,\"flags\":32832},\"2367\":{\"id\":2367,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":0,\"floating\":true,\"edge\":[0,1,1]},\"vertices\":\"7\",\"colors\":\"8\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"9\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"2368\":{\"id\":2368,\"type\":\"triangles\",\"material\":{\"alpha\":0.4000000059604645,\"smooth\":false,\"isTransparent\":true},\"vertices\":\"10\",\"colors\":\"12\",\"centers\":\"13\",\"normals\":\"11\",\"ignoreExtent\":false,\"flags\":32809},\"2369\":{\"id\":2369,\"type\":\"triangles\",\"material\":{\"alpha\":0.4000000059604645,\"smooth\":false,\"isTransparent\":true},\"vertices\":\"14\",\"colors\":\"16\",\"centers\":\"17\",\"normals\":\"15\",\"ignoreExtent\":false,\"flags\":32809},\"2370\":{\"id\":2370,\"type\":\"triangles\",\"material\":{\"alpha\":0.4000000059604645,\"smooth\":false,\"isTransparent\":true},\"vertices\":\"18\",\"colors\":\"20\",\"centers\":\"21\",\"normals\":\"19\",\"ignoreExtent\":false,\"flags\":32809},\"2371\":{\"id\":2371,\"type\":\"triangles\",\"material\":{\"alpha\":0.4000000059604645,\"smooth\":false,\"isTransparent\":true},\"vertices\":\"22\",\"colors\":\"24\",\"centers\":\"25\",\"normals\":\"23\",\"ignoreExtent\":false,\"flags\":32809},\"2372\":{\"id\":2372,\"type\":\"triangles\",\"material\":{\"alpha\":0.4000000059604645,\"smooth\":false,\"isTransparent\":true},\"vertices\":\"26\",\"colors\":\"28\",\"centers\":\"29\",\"normals\":\"27\",\"ignoreExtent\":false,\"flags\":32809},\"2373\":{\"id\":2373,\"type\":\"triangles\",\"material\":{\"alpha\":0.4000000059604645,\"smooth\":false,\"isTransparent\":true},\"vertices\":\"30\",\"colors\":\"32\",\"centers\":\"33\",\"normals\":\"31\",\"ignoreExtent\":false,\"flags\":32809},\"2374\":{\"id\":2374,\"type\":\"triangles\",\"material\":{\"alpha\":0.4000000059604645,\"smooth\":false,\"isTransparent\":true},\"vertices\":\"34\",\"colors\":\"36\",\"centers\":\"37\",\"normals\":\"35\",\"ignoreExtent\":false,\"flags\":32809},\"2375\":{\"id\":2375,\"type\":\"triangles\",\"material\":{\"alpha\":0.4000000059604645,\"smooth\":false,\"isTransparent\":true},\"vertices\":\"38\",\"colors\":\"40\",\"centers\":\"41\",\"normals\":\"39\",\"ignoreExtent\":false,\"flags\":32809},\"2376\":{\"id\":2376,\"type\":\"triangles\",\"material\":{\"alpha\":0.4000000059604645,\"smooth\":false,\"isTransparent\":true},\"vertices\":\"42\",\"colors\":\"44\",\"centers\":\"45\",\"normals\":\"43\",\"ignoreExtent\":false,\"flags\":32809},\"2377\":{\"id\":2377,\"type\":\"triangles\",\"material\":{\"alpha\":0.4000000059604645,\"smooth\":false,\"isTransparent\":true},\"vertices\":\"46\",\"colors\":\"48\",\"centers\":\"49\",\"normals\":\"47\",\"ignoreExtent\":false,\"flags\":32809},\"2378\":{\"id\":2378,\"type\":\"points\",\"material\":{\"lit\":false},\"vertices\":\"50\",\"colors\":\"51\",\"centers\":\"52\",\"ignoreExtent\":false,\"flags\":34816},\"2379\":{\"id\":2379,\"type\":\"points\",\"material\":{\"lit\":false,\"size\":7},\"vertices\":\"53\",\"colors\":\"54\",\"centers\":\"55\",\"ignoreExtent\":false,\"flags\":34816},\"2380\":{\"id\":2380,\"type\":\"text\",\"material\":{\"lit\":false},\"vertices\":\"56\",\"colors\":\"57\",\"texts\":[[\"1\"],[\"2\"],[\"3\"],[\"4\"],[\"5\"],[\"6\"],[\"7\"],[\"8\"],[\"9\"],[\"10\"],[\"11\"],[\"12\"],[\"13\"],[\"14\"],[\"15\"],[\"16\"],[\"17\"],[\"18\"],[\"19\"],[\"20\"],[\"21\"],[\"22\"],[\"23\"],[\"24\"],[\"25\"],[\"26\"],[\"27\"],[\"28\"],[\"29\"],[\"30\"],[\"31\"],[\"32\"],[\"33\"],[\"34\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"58\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":false,\"flags\":33808},\"2381\":{\"id\":2381,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"59\",\"colors\":\"60\",\"centers\":\"61\",\"ignoreExtent\":true,\"flags\":32832},\"2382\":{\"id\":2382,\"type\":\"text\",\"ma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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}A <- matrix( c( 3, 2, 5, 2, 1, 1, 1, 1, 3, 5, 2, 4 ), nc = 3, byrow = TRUE) b <- c(55, 26, 30, 57) obj <- matrix(c(1, -6, 3, -4, 1, -1), nrow = 2)  # LP model plotBiObj3D(A, b, obj, crit = \"min\", addTriangles = FALSE, labels = \"coord\")   # ILP model plotBiObj3D(A, b, obj, type = c(\"i\",\"i\",\"i\"), crit = \"min\", labels = \"n\")   # MILP model plotBiObj3D(A, b, obj, type = c(\"c\",\"i\",\"i\"), crit = \"min\", labels = \"n\")  plotBiObj3D(A, b, obj, type = c(\"i\",\"c\",\"i\"), crit = \"min\", labels = \"n\", plotFaces = FALSE)  plotBiObj3D(A, b, obj, type = c(\"i\",\"i\",\"c\"), crit = \"min\", labels = \"n\")  plotBiObj3D(A, b, obj, type = c(\"i\",\"c\",\"c\"), crit = \"min\", labels = \"n\")  plotBiObj3D(A, b, obj, type = c(\"c\",\"i\",\"c\"), crit = \"min\", labels = \"n\", plotFaces = FALSE)  plotBiObj3D(A, b, obj, type = c(\"c\",\"c\",\"i\"), crit = \"min\", labels = \"n\")  # }"},{"path":"http://relund.github.io/gMOIP/reference/plotHull2D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot the convex hull of a set of points in 2D. — plotHull2D","title":"Plot the convex hull of a set of points in 2D. — plotHull2D","text":"Plot convex hull set points 2D.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotHull2D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot the convex hull of a set of points in 2D. — plotHull2D","text":"","code":"plotHull2D(   pts,   drawPoints = FALSE,   drawLines = TRUE,   drawPolygons = TRUE,   addText = FALSE,   addRays = FALSE,   direction = 1,   drawPlot = TRUE,   drawBBoxHull = FALSE,   m = apply(pts, 2, min) - 5,   M = apply(pts, 2, max) + 5,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/plotHull2D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot the convex hull of a set of points in 2D. — plotHull2D","text":"pts matrix point row. drawPoints Draw points. drawLines Draw lines facets. drawPolygons Fill hull. addText Add text points. Currently coord (coordinates), rownames (rownames) supported vector text. addRays Add ray defined direction. direction Ray direction. 'th entry positive, consider 'th column pts plus value greater equal zero (minimize objective $$). negative, consider 'th column pts minus value greater equal zero (maximize objective $$). drawPlot Draw ggplot. Set FALSE want combine hulls single plot. drawBBoxHull addRays draw hull areas hitting bounding box also. m Minimum values bounding box. M Maximum values bounding box. ... arguments passed ggplot plotting functions. must done lists. Currently following arguments supported: argsGeom_point: list arguments ggplot2::geom_point. argsGeom_path: list arguments ggplot2::geom_path. argsGeom_polygon: list arguments ggplot2::geom_polygon. argsGeom_label: list arguments ggplot2::geom_label.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotHull2D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot the convex hull of a set of points in 2D. — plotHull2D","text":"ggplot object drawPlot = TRUE; otherwise, list ggplot components.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotHull2D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Plot the convex hull of a set of points in 2D. — plotHull2D","text":"","code":"library(ggplot2) pts<-matrix(c(1,1), ncol = 2, byrow = TRUE) plotHull2D(pts)  pts1<-matrix(c(2,2, 3,3), ncol = 2, byrow = TRUE) plotHull2D(pts1, drawPoints = TRUE)  plotHull2D(pts1, drawPoints = TRUE, addRays = TRUE, addText = \"coord\")  plotHull2D(pts1, drawPoints = TRUE, addRays = TRUE, addText = \"coord\", drawBBoxHull = TRUE)  plotHull2D(pts1, drawPoints = TRUE, addRays = TRUE, direction = -1, addText = \"coord\")  pts2<-matrix(c(1,1, 2,2, 0,1), ncol = 2, byrow = TRUE) plotHull2D(pts2, drawPoints = TRUE, addText = \"coord\")  plotHull2D(pts2, drawPoints = TRUE, addRays = TRUE, addText = \"coord\")  plotHull2D(pts2, drawPoints = TRUE, addRays = TRUE, direction = -1, addText = \"coord\")  ## Combine hulls ggplot() +   plotHull2D(pts2, drawPoints = TRUE, addText = \"coord\", drawPlot = FALSE) +   plotHull2D(pts1, drawPoints = TRUE, drawPlot = FALSE) +   gMOIPTheme() +   xlab(expression(x[1])) +   ylab(expression(x[2]))   # Plotting an LP A <- matrix(c(-3,2,2,4,9,10), ncol = 2, byrow = TRUE) b <- c(3,27,90) obj <- c(7.75, 10) pts3 <- cornerPoints(A, b) plotHull2D(pts3, drawPoints = TRUE, addText = \"coord\", argsGeom_polygon = list(fill = \"red\"))"},{"path":"http://relund.github.io/gMOIP/reference/plotHull3D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot the convex hull of a set of points in 3D. — plotHull3D","title":"Plot the convex hull of a set of points in 3D. — plotHull3D","text":"Plot convex hull set points 3D.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotHull3D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot the convex hull of a set of points in 3D. — plotHull3D","text":"","code":"plotHull3D(   pts,   drawPoints = FALSE,   drawLines = TRUE,   drawPolygons = TRUE,   addText = FALSE,   addRays = FALSE,   useRGLBBox = TRUE,   direction = 1,   drawBBoxHull = TRUE,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/plotHull3D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot the convex hull of a set of points in 3D. — plotHull3D","text":"pts matrix point row. drawPoints Draw points. drawLines Draw lines facets. drawPolygons Fill facets. addText Add text points. Currently coord (coordinates), rownames (rownames) supported vector text. addRays Add ray defined direction. useRGLBBox Use RGL bounding box add rays. direction Ray direction. 'th entry positive, consider 'th column pts plus value greater equal zero (minimize objective $$). negative, consider 'th column pts minus value greater equal zero (maximize objective $$). drawBBoxHull addRays draw hull areas hitting bounding box also. ... arguments passed RGL plotting functions. must done lists (see examples). Currently following arguments supported: argsPlot3d: list arguments rgl::plot3d. argsSegments3d: list arguments rgl::segments3d. argsPolygon3d: list arguments rgl::polygon3d. argsShade3d: list arguments rgl::shade3d. argsText3d: list arguments rgl::text3d.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotHull3D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot the convex hull of a set of points in 3D. — plotHull3D","text":"list hull, pts classified object ids (invisible).","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotHull3D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Plot the convex hull of a set of points in 3D. — plotHull3D","text":"3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot","code":"# \\donttest{ ini3D() pts<-matrix(c(0,0,0), ncol = 3, byrow = TRUE) plotHull3D(pts) # a point pts<-matrix(c(1,1,1,2,2,2,3,3,3), ncol = 3, byrow = TRUE) plotHull3D(pts, drawPoints = TRUE) # a line pts<-matrix(c(1,0,0,1,1,1,1,2,2,3,1,1,3,3,3), ncol = 3, byrow = TRUE) plotHull3D(pts, drawLines = FALSE, argsPolygon3d = list(alpha=0.6)) # a polygon pts<-matrix(c(5,5,5,10,10,5,10,5,5,5,5,10), ncol = 3, byrow = TRUE) lst <- plotHull3D(pts, argsPolygon3d = list(alpha=0.9), argsSegments3d = list(color=\"red\")) finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# pop3d(id = lst$ids) # remove last hull  ## Using addRays pts <- data.frame(x = c(1,3), y = c(1,3), z = c(1,3)) ini3D(argsPlot3d = list(xlim = c(0,max(pts$x)+10),   ylim = c(0,max(pts$y)+10),   zlim = c(0,max(pts$z)+10))) plotHull3D(pts, drawPoints = TRUE, addRays = TRUE, , drawBBoxHull = FALSE) plotHull3D(c(4,4,4), drawPoints = TRUE, addRays = TRUE) finalize3D() 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} pts <- data.frame(x = c(4,2.5,1), y = c(1,2.5,4), z = c(1,2.5,4)) ini3D(argsPlot3d = list(xlim = c(0,max(pts$x)+10),   ylim = c(0,max(pts$y)+10),   zlim = c(0,max(pts$z)+10))) plotHull3D(pts, drawPoints = TRUE, addRays = TRUE) finalize3D() 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":3170,\"objects\":{\"3177\":{\"id\":3177,\"type\":\"clipplanes\",\"offsets\":[[-0],[14],[-0],[14],[-0],[14]],\"normals\":\"0\",\"flags\":512},\"3178\":{\"id\":3178,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"1\",\"colors\":\"2\",\"centers\":\"3\",\"ignoreExtent\":false,\"flags\":32832},\"3179\":{\"id\":3179,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"4\",\"colors\":\"5\",\"centers\":\"6\",\"ignoreExtent\":false,\"flags\":32832},\"3181\":{\"id\":3181,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":0,\"floating\":true,\"edge\":[0,1,1]},\"vertices\":\"7\",\"colors\":\"8\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"9\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"3182\":{\"id\":3182,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":1,\"floating\":true,\"edge\":[1,1,1]},\"vertices\":\"10\",\"colors\":\"11\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"12\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"3183\":{\"id\":3183,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":2,\"floating\":true,\"edge\":[1,1,1]},\"vertices\":\"13\",\"colors\":\"14\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"15\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"3184\":{\"id\":3184,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"16\",\"colors\":\"17\",\"centers\":\"18\",\"ignoreExtent\":false,\"flags\":32832},\"3185\":{\"id\":3185,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"19\",\"colors\":\"21\",\"centers\":\"22\",\"normals\":\"20\",\"ignoreExtent\":false,\"flags\":32811},\"3186\":{\"id\":3186,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"23\",\"colors\":\"24\",\"centers\":\"25\",\"ignoreExtent\":false,\"flags\":32832},\"3187\":{\"id\":3187,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"26\",\"colors\":\"28\",\"centers\":\"29\",\"normals\":\"27\",\"ignoreExtent\":false,\"flags\":32811},\"3188\":{\"id\":3188,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"30\",\"colors\":\"31\",\"centers\":\"32\",\"ignoreExtent\":false,\"flags\":32832},\"3189\":{\"id\":3189,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"33\",\"colors\":\"35\",\"centers\":\"36\",\"normals\":\"34\",\"ignoreExtent\":false,\"flags\":32811},\"3190\":{\"id\":3190,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"37\",\"colors\":\"38\",\"centers\":\"39\",\"ignoreExtent\":false,\"flags\":32832},\"3191\":{\"id\":3191,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"40\",\"colors\":\"42\",\"centers\":\"43\",\"normals\":\"41\",\"ignoreExtent\":false,\"flags\":32811},\"3192\":{\"id\":3192,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"44\",\"colors\":\"45\",\"centers\":\"46\",\"ignoreExtent\":false,\"flags\":32832},\"3193\":{\"id\":3193,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"47\",\"colors\":\"49\",\"centers\":\"50\",\"normals\":\"48\",\"ignoreExtent\":false,\"flags\":32811},\"3194\":{\"id\":3194,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"51\",\"colors\":\"52\",\"centers\":\"53\",\"ignoreExtent\":false,\"flags\":32832},\"3195\":{\"id\":3195,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"54\",\"colors\":\"56\",\"centers\":\"57\",\"normals\":\"55\",\"ignoreExtent\":false,\"flags\":32811},\"3196\":{\"id\":3196,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"58\",\"colors\":\"59\",\"centers\":\"60\",\"ignoreExtent\":false,\"flags\":32832},\"3197\":{\"id\":3197,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"61\",\"colors\":\"63\",\"centers\":\"64\",\"normals\":\"62\",\"ignoreExtent\":false,\"flags\":32811},\"3198\":{\"id\":3198,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} pts <- matrix(c(   0, 4, 8,   0, 8, 4,   8, 4, 0,   4, 8, 0,   4, 0, 8,   8, 0, 4,   4, 4, 4,   6, 6, 6   ), ncol = 3, byrow = TRUE) ini3D(FALSE, argsPlot3d = list(xlim = c(min(pts[,1])-2,max(pts[,1])+10),   ylim = c(min(pts[,2])-2,max(pts[,2])+10),   zlim = c(min(pts[,3])-2,max(pts[,3])+10))) plotHull3D(pts, drawPoints = TRUE, addText = \"coord\") plotHull3D(pts, addRays = TRUE) finalize3D() 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":3170,\"objects\":{\"3177\":{\"id\":3177,\"type\":\"clipplanes\",\"offsets\":[[-0],[14],[-0],[14],[-0],[14]],\"normals\":\"0\",\"flags\":512},\"3178\":{\"id\":3178,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"1\",\"colors\":\"2\",\"centers\":\"3\",\"ignoreExtent\":false,\"flags\":32832},\"3211\":{\"id\":3211,\"type\":\"clipplanes\",\"offsets\":[[2],[18],[2],[18],[2],[18]],\"normals\":\"4\",\"flags\":512},\"3212\":{\"id\":3212,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"5\",\"colors\":\"6\",\"centers\":\"7\",\"ignoreExtent\":false,\"flags\":32832},\"3213\":{\"id\":3213,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"8\",\"colors\":\"9\",\"centers\":\"10\",\"ignoreExtent\":false,\"flags\":32832},\"3215\":{\"id\":3215,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":0,\"floating\":true,\"edge\":[0,1,1]},\"vertices\":\"11\",\"colors\":\"12\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"13\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"3216\":{\"id\":3216,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":1,\"floating\":true,\"edge\":[1,1,1]},\"vertices\":\"14\",\"colors\":\"15\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"16\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"3217\":{\"id\":3217,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":2,\"floating\":true,\"edge\":[1,1,1]},\"vertices\":\"17\",\"colors\":\"18\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"19\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"3218\":{\"id\":3218,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"20\",\"colors\":\"21\",\"centers\":\"22\",\"ignoreExtent\":false,\"flags\":32832},\"3219\":{\"id\":3219,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"23\",\"colors\":\"25\",\"centers\":\"26\",\"normals\":\"24\",\"ignoreExtent\":false,\"flags\":32811},\"3220\":{\"id\":3220,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"27\",\"colors\":\"28\",\"centers\":\"29\",\"ignoreExtent\":false,\"flags\":32832},\"3221\":{\"id\":3221,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"30\",\"colors\":\"32\",\"centers\":\"33\",\"normals\":\"31\",\"ignoreExtent\":false,\"flags\":32811},\"3222\":{\"id\":3222,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"34\",\"colors\":\"35\",\"centers\":\"36\",\"ignoreExtent\":false,\"flags\":32832},\"3223\":{\"id\":3223,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"37\",\"colors\":\"39\",\"centers\":\"40\",\"normals\":\"38\",\"ignoreExtent\":false,\"flags\":32811},\"3224\":{\"id\":3224,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"41\",\"colors\":\"42\",\"centers\":\"43\",\"ignoreExtent\":false,\"flags\":32832},\"3225\":{\"id\":3225,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"44\",\"colors\":\"46\",\"centers\":\"47\",\"normals\":\"45\",\"ignoreExtent\":false,\"flags\":32811},\"3226\":{\"id\":3226,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"48\",\"colors\":\"49\",\"centers\":\"50\",\"ignoreExtent\":false,\"flags\":32832},\"3227\":{\"id\":3227,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"51\",\"colors\":\"53\",\"centers\":\"54\",\"normals\":\"52\",\"ignoreExtent\":false,\"flags\":32811},\"3228\":{\"id\":3228,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"55\",\"colors\":\"56\",\"centers\":\"57\",\"ignoreExtent\":false,\"flags\":32832},\"3229\":{\"id\":3229,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"58\",\"colors\":\"60\",\"centers\":\"61\",\"normals\":\"59\",\"ignoreExtent\":false,\"flags\":32811},\"3230\":{\"id\":3230,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"62\",\"colors\":\"63\",\"centers\":\"64\",\"ignoreExtent\":false,\"flags\":32832},\"3231\":{\"id\":32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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} pts <- genNDSet(3, 100, dubND = FALSE) pts <- as.data.frame(pts[,1:3])  ini3D(argsPlot3d = list(   xlim = c(0,max(pts[,1])+10),   ylim = c(0,max(pts[,2])+10),   zlim = c(0,max(pts[,3])+10))) plotHull3D(pts, drawPoints = TRUE, addRays = TRUE) finalize3D() 3D plot  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AVlUtQquq4kEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAOBA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\\nA7+ohFu/AAAAAAAAgD8AAIA/AACAP8nIyD0AAMxBAADwQAAAZ0IAAMB/A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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D(argsPlot3d = list(   xlim = c(0,max(pts[,1])+10),   ylim = c(0,max(pts[,2])+10),   zlim = c(0,max(pts[,3])+10))) plotHull3D(pts, drawPoints = TRUE, drawPolygons = TRUE, addText = \"coord\", addRays = TRUE) finalize3D() 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":3537,\"objects\":{\"3544\":{\"id\":3544,\"type\":\"clipplanes\",\"offsets\":[[-0],[69],[-0],[69],[-0],[68]],\"normals\":\"0\",\"flags\":512},\"3545\":{\"id\":3545,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"1\",\"colors\":\"2\",\"centers\":\"3\",\"ignoreExtent\":false,\"flags\":32832},\"3546\":{\"id\":3546,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"4\",\"colors\":\"5\",\"centers\":\"6\",\"ignoreExtent\":false,\"flags\":32832},\"3548\":{\"id\":3548,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":0,\"floating\":true,\"edge\":[0,1,1]},\"vertices\":\"7\",\"colors\":\"8\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"9\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"3549\":{\"id\":3549,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":1,\"floating\":true,\"edge\":[1,1,1]},\"vertices\":\"10\",\"colors\":\"11\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"12\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"3550\":{\"id\":3550,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":2,\"floating\":true,\"edge\":[1,1,1]},\"vertices\":\"13\",\"colors\":\"14\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"15\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"3551\":{\"id\":3551,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"16\",\"colors\":\"17\",\"centers\":\"18\",\"ignoreExtent\":false,\"flags\":32832},\"3552\":{\"id\":3552,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"19\",\"colors\":\"21\",\"centers\":\"22\",\"normals\":\"20\",\"ignoreExtent\":false,\"flags\":32811},\"3553\":{\"id\":3553,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"23\",\"colors\":\"24\",\"centers\":\"25\",\"ignoreExtent\":false,\"flags\":32832},\"3554\":{\"id\":3554,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"26\",\"colors\":\"28\",\"centers\":\"29\",\"normals\":\"27\",\"ignoreExtent\":false,\"flags\":32811},\"3555\":{\"id\":3555,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"30\",\"colors\":\"31\",\"centers\":\"32\",\"ignoreExtent\":false,\"flags\":32832},\"3556\":{\"id\":3556,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"33\",\"colors\":\"35\",\"centers\":\"36\",\"normals\":\"34\",\"ignoreExtent\":false,\"flags\":32811},\"3557\":{\"id\":3557,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"37\",\"colors\":\"38\",\"centers\":\"39\",\"ignoreExtent\":false,\"flags\":32832},\"3558\":{\"id\":3558,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"40\",\"colors\":\"42\",\"centers\":\"43\",\"normals\":\"41\",\"ignoreExtent\":false,\"flags\":32811},\"3559\":{\"id\":3559,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"44\",\"colors\":\"45\",\"centers\":\"46\",\"ignoreExtent\":false,\"flags\":32832},\"3560\":{\"id\":3560,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"47\",\"colors\":\"49\",\"centers\":\"50\",\"normals\":\"48\",\"ignoreExtent\":false,\"flags\":32811},\"3561\":{\"id\":3561,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"51\",\"colors\":\"52\",\"centers\":\"53\",\"ignoreExtent\":false,\"flags\":32832},\"3562\":{\"id\":3562,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"54\",\"colors\":\"56\",\"centers\":\"57\",\"normals\":\"55\",\"ignoreExtent\":false,\"flags\":32811},\"3563\":{\"id\":3563,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"58\",\"colors\":\"59\",\"centers\":\"60\",\"ignoreExtent\":false,\"flags\":32832},\"3564\":{\"id\":3564,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"61\",\"colors\":\"63\",\"centers\":\"64\",\"normals\":\"62\",\"ignoreExtent\":false,\"flags\":32811},\"3565\":{\"id\":3565,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices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AAFEIAAPBB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QgAAwH8AAMB/AADAfwAAAEEAANhBAAAcQgAAQEEAANBBAAD4QQAAAEEAANhB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QAAyEEAAOBBAABgQQAAoEEAANBBAACgQc3M\\nzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAKBB\\nAADQQQAAoEEAAIBBAAD4QQAAqEEAAKBBAADQQQAAoEEAAMB/AADAfwAAwH8AAIBBAAD4QQAA\\nqEEAAMhBAADgQQAAYEEAAIBBAAD4QQAAqEEAAMB/AADAfwAAwH8AAKBBAADQQQAAoEEAAMhB\\nAADgQQAAYEEAAKBBAADQQQAAoEEUGhQQHxUZHA4AAADcsiS/ZZTDvnPYKb/csiS/ZZTDvnPY\\nKb/csiS/ZZTDvnPYKb8AAIA/AACAPwAAgD/JyMg9q6qiQauq4kGrqpJBAADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACgQQAA0EEAAKBBAACYQQAAsEEAAMBBAACgQQAA\\n0EEAAKBBAADAfwAAwH8AAMB/AACYQQAAsEEAAMBBAADIQQAA4EEAAGBBAACYQQAAsEEAAMBB\\nAADAfwAAwH8AAMB/AACgQQAA0EEAAKBBAADIQQAA4EEAAGBBAACgQQAA0EEAAKBBzczMPs3M\\nzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAoEEAANBB\\nAACgQQAAmEEAALBBAADAQQAAoEEAANBBAACgQQAAwH8AAMB/AADAfwAAmEEAALBBAADAQQAA\\nyEEAAOBBAABgQQAAmEEAALBBAADAQQAAwH8AAMB/AADAfwAAoEEAANBBAACgQQAAyEEAAOBB\\nAABgQQAAoEEAANBBAACgQRQaFBMWGBkcDgAAAK8JEz95qAA/5WolP68JEz95qAA/5WolP68J\\nEz95qAA/5WolPwAAgD8AAIA/AACAP8nIyD2rqqpBq6rKQauqmkEAAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAKBBAADQQQAAoEEAAJhBAACwQQAAwEEAAKBBAADQQQAA\\noEEAAMB/AADAfwAAwH8AAJhBAACwQQAAwEEAAIBBAAD4QQAAqEEAAJhBAACwQQAAwEEAAMB/\\nAADAfwAAwH8AAKBBAADQQQAAoEEAAIBBAAD4QQAAqEEAAKBBAADQQQAAoEHNzMw+zczMPs3M\\nzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACgQQAA0EEAAKBB\\nAACYQQAAsEEAAMBBAACgQQAA0EEAAKBBAADAfwAAwH8AAMB/AACYQQAAsEEAAMBBAACAQQAA\\n+EEAAKhBAACYQQAAsEEAAMBBAADAfwAAwH8AAMB/AACgQQAA0EEAAKBBAACAQQAA+EEAAKhB\\nAACgQQAA0EEAAKBBFBoUExYYEB8VAAAAXFYuv/Pr2b6Qixi/XFYuv/Pr2b6Qixi/XFYuv/Pr\\n2b6Qixi/AACAPwAAgD8AAIA/ycjIPauqkkGrqtJBVlWtQQAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAA4EEAAMBBAABwQQAAmEEAALBBAADAQQAA4EEAAMBBAABwQQAA\\nwH8AAMB/AADAfwAAmEEAALBBAADAQQAAyEEAAOBBAABgQQAAmEEAALBBAADAQQAAwH8AAMB/\\nAADAfwAA4EEAAMBBAABwQQAAyEEAAOBBAABgQQAA4EEAAMBBAABwQc3MzD7NzMw+zczMPgAA\\ngD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAOBBAADAQQAAcEEAAJhB\\nAACwQQAAwEEAAOBBAADAQQAAcEEAAMB/AADAfwAAwH8AAJhBAACwQQAAwEEAAMhBAADgQQAA\\nYEEAAJhBAACwQQAAwEEAAMB/AADAfwAAwH8AAOBBAADAQQAAcEEAAMhBAADgQQAAYEEAAOBB\\nAADAQQAAcEEcGA8TFhgZHA4AAADwDAa/le8Nv4OXJb/wDAa/le8Nv4OXJb/wDAa/le8Nv4OX\\nJb8AAIA/AACAPwAAgD/JyMg9AADAQVZVxUFWVY1BAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADgQQAAwEEAAHBBAAAEQgAA4EEAACBBAADgQQAAwEEAAHBBAADAfwAA\\nwH8AAMB/AAAEQgAA4EEAACBBAADIQQAA4EEAAGBBAAAEQgAA4EEAACBBAADAfwAAwH8AAMB/\\nAADgQQAAwEEAAHBBAADIQQAA4EEAAGBBAADgQQAAwEEAAHBBzczMPs3MzD7NzMw+AACAPwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA4EEAAMBBAABwQQAABEIAAOBB\\nAAAgQQAA4EEAAMBBAABwQQAAwH8AAMB/AADAfwAABEIAAOBBAAAgQQAAyEEAAOBBAABgQQAA\\nBEIAAOBBAAAgQQAAwH8AAMB/AADAfwAA4EEAAMBBAABwQQAAyEEAAOBBAABgQQAA4EEAAMBB\\nAABwQRwYDyEcChkcDgAAAEXdxz6W1Pk+Rd1HP0Xdxz6W1Pk+Rd1HP0Xdxz6W1Pk+Rd1HPwAA\\ngD8AAIA/AACAP8nIyD1WVeVBVlXVQQAAUEEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAEBCAAD4QQAAoEAAAEhCAADIQQAAAEEAAEBCAAD4QQAAoEAAAMB/AADAfwAA\\nwH8AAEhCAADIQQAAAEEAACRCAADwQQAAwEAAAEhCAADIQQAAAEEAAMB/AADAfwAAwH8AAEBC\\nAAD4QQAAoEAAACRCAADwQQAAwEAAAEBCAAD4QQAAoEDNzMw+zczMPs3MzD4AAIA/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AABAQgAA+EEAAKBAAABIQgAAyEEAAABB\\nAABAQgAA+EEAAKBAAADAfwAAwH8AAMB/AABIQgAAyEEAAABBAAAkQgAA8EEAAMBAAABIQgAA\\nyEEAAABBAADAfwAAwH8AAMB/AABAQgAA+EEAAKBAAAAkQgAA8EEAAMBAAABAQgAA+EEAAKBA\\nMB8FMhkIKR4GAAAASgx3vRzB7L7udWK/Sgx3vRzB7L7udWK/Sgx3vRzB7L7udWK/AACAPwAA\\ngD8AAIA/ycjIPVZVOUJWVeVBq6rKQAAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAQEIAAPhBAACgQAAAQEIAAARCAACAQAAAQEIAAPhBAACgQAAAwH8AAMB/AADAfwAA\\nQEIAAARCAACAQAAAJEIAAPBBAADAQAAAQEIAAARCAACAQAAAwH8AAMB/AADAfwAAQEIAAPhB\\nAACgQAAAJEIAAPBBAADAQAAAQEIAAPhBAACgQM3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAEBCAAD4QQAAoEAAAEBCAAAEQgAAgEAAAEBC\\nAAD4QQAAoEAAAMB/AADAfwAAwH8AAEBCAAAEQgAAgEAAACRCAADwQQAAwEAAAEBCAAAEQgAA\\ngEAAAMB/AADAfwAAwH8AAEBCAAD4QQAAoEAAACRCAADwQQAAwEAAAEBCAAD4QQAAoEAwHwUw\\nIQQpHgYAAABik4I97IHkPuyBZD9ik4I97IHkPuyBZD9ik4I97IHkPuyBZD8AAIA/AACAPwAA\\ngD/JyMg9q6o2Qquq+kEAAKBAAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAACKQgAABEIAAIBAAABAQgAABEIAAIBAAACKQgAABEIAAIBAAADAfwAAwH8AAMB/AABAQgAA\\nBEIAAIBAAABAQgAA+EEAAKBAAABAQgAABEIAAIBAAADAfwAAwH8AAMB/AABAQgAA+EEAAKBA\\nAABIQgAAyEEAAABBAABAQgAA+EEAAKBAAADAfwAAwH8AAMB/AABIQgAAyEEAAABBAACKQgAA\\nyEEAAABBAABIQgAAyEEAAABBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAikIAAARCAACAQAAAQEIAAARCAACAQAAAikIAAARCAACAQAAA\\nwH8AAMB/AADAfwAAQEIAAARCAACAQAAAQEIAAPhBAACgQAAAQEIAAARCAACAQAAAwH8AAMB/\\nAADAfwAAQEIAAPhBAACgQAAASEIAAMhBAAAAQQAAQEIAAPhBAACgQAAAwH8AAMB/AADAfwAA\\nSEIAAMhBAAAAQQAAikIAAMhBAAAAQQAASEIAAMhBAAAAQTAhBDAfBTIZCDIZCEUhBDAhBDIZ\\nCEUZCEUhBAAAAAAALvnkPi75ZD8AAAAALvnkPi75ZD8AAAAALvnkPi75ZD8AAAAALvnkPi75\\nZD8AAAAALvnkPi75ZD8AAAAALvnkPi75ZD8AAAAALvnkPi75ZD8AAAAALvnkPi75ZD8AAAAA\\nLvnkPi75ZD8AAIA/AACAPwAAgD/JyMg9q6pCQlZV7UFWVbVAq6peQquq8kGrqqpAq6p6QlZV\\n3UFWVdVAAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AABYQgAAEEIAAEBA\\nAABAQgAABEIAAIBAAABYQgAAEEIAAEBAAADAfwAAwH8AAMB/AABAQgAABEIAAIBAAAA4QgAA\\nIEIAAABAAABAQgAABEIAAIBAAADAfwAAwH8AAMB/AABYQgAAEEIAAEBAAAA4QgAAIEIAAABA\\nAABYQgAAEEIAAEBAzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAWEIAABBCAABAQAAAQEIAAARCAACAQAAAWEIAABBCAABAQAAAwH8AAMB/\\nAADAfwAAQEIAAARCAACAQAAAOEIAACBCAAAAQAAAQEIAAARCAACAQAAAwH8AAMB/AADAfwAA\\nWEIAABBCAABAQAAAOEIAACBCAAAAQAAAWEIAABBCAABAQDYkAzAhBC4oAgAAAKjOo7zTVI++\\n/LV1v6jOo7zTVI++/LV1v6jOo7zTVI++/LV1vwAAgD8AAIA/AACAP8nIyD1WVUVCVlURQgAA\\nQEAAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAIpCAAAgQgAAAEAAADhC\\nAAAgQgAAAEAAAIpCAAAgQgAAAEAAAMB/AADAfwAAwH8AADhCAAAgQgAAAEAAAFhCAAAQQgAA\\nQEAAADhCAAAgQgAAAEAAAMB/AADAfwAAwH8AAFhCAAAQQgAAQEAAAIpCAAAQQgAAQEAAAFhC\\nAAAQQgAAQEDNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AACKQgAAIEIAAABAAAA4QgAAIEIAAABAAACKQgAAIEIAAABAAADAfwAAwH8AAMB/\\nAAA4QgAAIEIAAABAAABYQgAAEEIAAEBAAAA4QgAAIEIAAABAAADAfwAAwH8AAMB/AABYQgAA\\nEEIAAEBAAACKQgAAEEIAAEBAAABYQgAAEEIAAEBARSgCLigCNiQDRSQDAAAAgENbeD5DW3g/\\nAAAAgENbeD5DW3g/AAAAgENbeD5DW3g/AAAAgENbeD5DW3g/AACAPwAAgD8AAIA/ycjIPQAA\\nbkIAABhCAAAgQAAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAikIAABBC\\nAABAQAAAWEIAABBCAABAQAAAikIAABBCAABAQAAAwH8AAMB/AADAfwAAWEIAABBCAABAQAAA\\nQEIAAARCAACAQAAAWEIAABBCAABAQAAAwH8AAMB/AADAfwAAQEIAAARCAACAQAAAikIAAARC\\nAACAQAAAQEIAAARCAACAQM3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAIpCAAAQQgAAQEAAAFhCAAAQQgAAQEAAAIpCAAAQQgAAQEAAAMB/\\nAADAfwAAwH8AAFhCAAAQQgAAQEAAAEBCAAAEQgAAgEAAAFhCAAAQQgAAQEAAAMB/AADAfwAA\\nwH8AAEBCAAAEQgAAgEAAAIpCAAAEQgAAgEAAAEBCAAAEQgAAgEBFJAM2JAMwIQRFIQQAAACA\\nmuihPujccj8AAACAmuihPujccj8AAACAmuihPujccj8AAACAmuihPujccj8AAIA/AACAPwAA\\ngD/JyMg9AABwQgAACkIAAGBAAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/zczMPs3MzD7NzMw+\\nAACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAf0UBREUBMkUJGEUBMkUFH0UJGEUJGEUoAkUB\\nREUJGEUME0UoAkUBMkUCKkUFH0UoAkVFAUUBREUoAkUvAUVFAUVFAUVFREUBREUME0UkA0Uo\\nAkUME0UZCEUkA0UME0USDUUZCEUZCEUhBEUkAwEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEA\\nAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEA\\nAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAAAgD8AAIA/AACAP8nIyD0AAIpCq6pqQFZV\\nPUIAAIpCAACgQAAADEIAAIpCVlWFQauq+kEAAIpCq6qiQQAAcEEAAIpCq6oqQAAAJEIAAIpC\\nq6oSQlZVvUEAAIpCAABQQquqqj8AAIpCVlU5QquqNkIAAIpCq6rqQQAAAEEAAIpCq6rCQQAA\\nIEEAAIpCq6qSQVZVVUEAAIpCq6r6QQAAoEAAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAIpCAAAQQQAAwEEAAEhCAAAQQQAAwEEAAIpCAAAQQQAAwEEAAMB/AADAfwAA\\nwH8AAEhCAAAQQQAAwEEAAEBCAACgQAAA+EEAAEhCAAAQQQAAwEEAAMB/AADAfwAAwH8AAEBC\\nAACgQAAA+EEAAIpCAACgQAAA+EEAAEBCAACgQAAA+EHNzMw+zczMPs3MzD4AAIA/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACKQgAAEEEAAMBBAABIQgAAEEEAAMBB\\nAACKQgAAEEEAAMBBAADAfwAAwH8AAMB/AABIQgAAEEEAAMBBAABAQgAAoEAAAPhBAABIQgAA\\nEEEAAMBBAADAfwAAwH8AAMB/AABAQgAAoEAAAPhBAACKQgAAoEAAAPhBAABAQgAAoEAAAPhB\\nRQkYMgkYMAUfRQUfAAAAgC9FXj/tBf4+AAAAgC9FXj/tBf4+AAAAgC9FXj/tBf4+AAAAgC9F\\nXj/tBf4+AACAPwAAgD8AAIA/ycjIPQAAbEIAAOBAAADcQQAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAikIAAEBBAACYQQAANEIAAEBBAACYQQAAikIAAEBBAACYQQAA\\nwH8AAMB/AADAfwAANEIAAEBBAACYQQAASEIAABBBAADAQQAANEIAAEBBAACYQQAAwH8AAMB/\\nAADAfwAASEIAABBBAADAQQAAikIAABBBAADAQQAASEIAABBBAADAQc3MzD7NzMw+zczMPgAA\\ngD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAIpCAABAQQAAmEEAADRC\\nAABAQQAAmEEAAIpCAABAQQAAmEEAAMB/AADAfwAAwH8AADRCAABAQQAAmEEAAEhCAAAQQQAA\\nwEEAADRCAABAQQAAmEEAAMB/AADAfwAAwH8AAEhCAAAQQQAAwEEAAIpCAAAQQQAAwEEAAEhC\\nAAAQQQAAwEFFDBMtDBMyCRhFCRgAAACAqIRbP/+1Az8AAACAqIRbP/+1Az8AAACAqIRbP/+1\\nAz8AAACAqIRbP/+1Az8AAIA/AACAPwAAgD/JyMg9AABpQgAAKEEAAKxBAADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAD4QQAAMEEAANhBAAAcQgAAQEEAAKhBAAD4QQAA\\nMEEAANhBAADAfwAAwH8AAMB/AAAcQgAAQEEAAKhBAAAgQgAA4EAAAOhBAAAcQgAAQEEAAKhB\\nAADAfwAAwH8AAMB/AAD4QQAAMEEAANhBAAAgQgAA4EAAAOhBAAD4QQAAMEEAANhBzczMPs3M\\nzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA+EEAADBB\\nAADYQQAAHEIAAEBBAACoQQAA+EEAADBBAADYQQAAwH8AAMB/AADAfwAAHEIAAEBBAACoQQAA\\nIEIAAOBAAADoQQAAHEIAAEBBAACoQQAAwH8AAMB/AADAfwAA+EEAADBBAADYQQAAIEIAAOBA\\nAADoQQAA+EEAADBBAADYQR8LGycMFSgHHQAAAIMChr6KMlW/3L75voMChr6KMlW/3L75voMC\\nhr6KMlW/3L75vgAAgD8AAIA/AACAP8nIyD2rqhJCAAAgQVZVzUEAAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAPhBAAAwQQAA2EEAABxCAABAQQAAqEEAAPhBAAAwQQAA\\n2EEAAMB/AADAfwAAwH8AABxCAABAQQAAqEEAAPBBAACAQQAAqEEAABxCAABAQQAAqEEAAMB/\\nAADAfwAAwH8AAPhBAAAwQQAA2EEAAPBBAACAQQAAqEEAAPhBAAAwQQAA2EHNzMw+zczMPs3M\\nzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAD4QQAAMEEAANhB\\nAAAcQgAAQEEAAKhBAAD4QQAAMEEAANhBAADAfwAAwH8AAMB/AAAcQgAAQEEAAKhBAADwQQAA\\ngEEAAKhBAAAcQgAAQEEAAKhBAADAfwAAwH8AAMB/AAD4QQAAMEEAANhBAADwQQAAgEEAAKhB\\nAAD4QQAAMEEAANhBHwsbJwwVHhAVAAAAGdmqPjw0QD/F7hE/GdmqPjw0QD/F7hE/GdmqPjw0\\nQD/F7hE/AACAPwAAgD8AAIA/ycjIPVZVBUIAAFBBAAC4QQAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAA+EEAADBBAADYQQAAGEIAAEBAAAAoQgAA+EEAADBBAADYQQAA\\nwH8AAMB/AADAfwAAGEIAAEBAAAAoQgAAIEIAAOBAAADoQQAAGEIAAEBAAAAoQgAAwH8AAMB/\\nAADAfwAA+EEAADBBAADYQQAAIEIAAOBAAADoQQAA+EEAADBBAADYQc3MzD7NzMw+zczMPgAA\\ngD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAPhBAAAwQQAA2EEAABhC\\nAABAQAAAKEIAAPhBAAAwQQAA2EEAAMB/AADAfwAAwH8AABhCAABAQAAAKEIAACBCAADgQAAA\\n6EEAABhCAABAQAAAKEIAAMB/AADAfwAAwH8AAPhBAAAwQQAA2EEAACBCAADgQAAA6EEAAPhB\\nAAAwQQAA2EEfCxsmAyooBx0AAAAskqU+/KhjPyySpT4skqU+/KhjPyySpT4skqU+/KhjPyyS\\npT4AAIA/AACAPwAAgD/JyMg9VlURQgAA4ECrqgJCAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AAD4QQAAMEEAANhBAADIQQAAMEEAAAhCAAD4QQAAMEEAANhBAADAfwAA\\nwH8AAMB/AADIQQAAMEEAAAhCAAAYQgAAQEAAAChCAADIQQAAMEEAAAhCAADAfwAAwH8AAMB/\\nAAD4QQAAMEEAANhBAAAYQgAAQEAAAChCAAD4QQAAMEEAANhBzczMPs3MzD7NzMw+AACAPwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA+EEAADBBAADYQQAAyEEAADBB\\nAAAIQgAA+EEAADBBAADYQQAAwH8AAMB/AADAfwAAyEEAADBBAAAIQgAAGEIAAEBAAAAoQgAA\\nyEEAADBBAAAIQgAAwH8AAMB/AADAfwAA+EEAADBBAADYQQAAGEIAAEBAAAAoQgAA+EEAADBB\\nAADYQR8LGxkLIiYDKgAAAPE1tj7yImI/PC6cPvE1tj7yImI/PC6cPvE1tj7yImI/PC6cPgAA\\ngD8AAIA/AACAP8nIyD2rqvpBVlUFQVZVCUIAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAPhBAAAwQQAA2EEAAJhBAACwQQAAwEEAAPhBAAAwQQAA2EEAAMB/AADAfwAA\\nwH8AAJhBAACwQQAAwEEAAPBBAACAQQAAqEEAAJhBAACwQQAAwEEAAMB/AADAfwAAwH8AAPhB\\nAAAwQQAA2EEAAPBBAACAQQAAqEEAAPhBAAAwQQAA2EHNzMw+zczMPs3MzD4AAIA/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAD4QQAAMEEAANhBAACYQQAAsEEAAMBB\\nAAD4QQAAMEEAANhBAADAfwAAwH8AAMB/AACYQQAAsEEAAMBBAADwQQAAgEEAAKhBAACYQQAA\\nsEEAAMBBAADAfwAAwH8AAMB/AAD4QQAAMEEAANhBAADwQQAAgEEAAKhBAAD4QQAAMEEAANhB\\nHwsbExYYHhAVAAAAnCIEv2rFMr8n6P2+nCIEv2rFMr8n6P2+nCIEv2rFMr8n6P2+AACAPwAA\\ngD8AAIA/ycjIPVZV1UGrqoJBAADAQQAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAA+EEAADBBAADYQQAAyEEAADBBAAAIQgAA+EEAADBBAADYQQAAwH8AAMB/AADAfwAA\\nyEEAADBBAAAIQgAAmEEAALBBAADAQQAAyEEAADBBAAAIQgAAwH8AAMB/AADAfwAA+EEAADBB\\nAADYQQAAmEEAALBBAADAQQAA+EEAADBBAADYQc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAPhBAAAwQQAA2EEAAMhBAAAwQQAACEIAAPhB\\nAAAwQQAA2EEAAMB/AADAfwAAwH8AAMhBAAAwQQAACEIAAJhBAACwQQAAwEEAAMhBAAAwQQAA\\nCEIAAMB/AADAfwAAwH8AAPhBAAAwQQAA2EEAAJhBAACwQQAAwEEAAPhBAAAwQQAA2EEfCxsZ\\nCyITFhgAAABWCwm/CIo1v93u6r5WCwm/CIo1v93u6r5WCwm/CIo1v93u6r4AAIA/AACAPwAA\\ngD/JyMg9AADIQauqakGrquJBAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAAAkQgAAgEEAAIBBAAA0QgAAQEEAAJhBAAAkQgAAgEEAAIBBAADAfwAAwH8AAMB/AAA0QgAA\\nQEEAAJhBAAA0QgAAkEEAAFBBAAA0QgAAQEEAAJhBAADAfwAAwH8AAMB/AAAkQgAAgEEAAIBB\\nAAA0QgAAkEEAAFBBAAAkQgAAgEEAAIBBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAJEIAAIBBAACAQQAANEIAAEBBAACYQQAAJEIAAIBB\\nAACAQQAAwH8AAMB/AADAfwAANEIAAEBBAACYQQAANEIAAJBBAABQQQAANEIAAEBBAACYQQAA\\nwH8AAMB/AADAfwAAJEIAAIBBAACAQQAANEIAAJBBAABQQQAAJEIAAIBBAACAQSkQEC0MEy0S\\nDQAAAGpBMj5qQTI/akEyP2pBMj5qQTI/akEyP2pBMj5qQTI/akEyPwAAgD8AAIA/AACAP8nI\\nyD2rqi5CVlV1QQAAgEEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AACRC\\nAACAQQAAgEEAABxCAABAQQAAqEEAACRCAACAQQAAgEEAAMB/AADAfwAAwH8AABxCAABAQQAA\\nqEEAADRCAABAQQAAmEEAABxCAABAQQAAqEEAAMB/AADAfwAAwH8AACRCAACAQQAAgEEAADRC\\nAABAQQAAmEEAACRCAACAQQAAgEHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AAAkQgAAgEEAAIBBAAAcQgAAQEEAAKhBAAAkQgAAgEEAAIBB\\nAADAfwAAwH8AAMB/AAAcQgAAQEEAAKhBAAA0QgAAQEEAAJhBAAAcQgAAQEEAAKhBAADAfwAA\\nwH8AAMB/AAAkQgAAgEEAAIBBAAA0QgAAQEEAAJhBAAAkQgAAgEEAAIBBKRAQJwwVLQwTAAAA\\n3tFhPoR6Nz9mXSk/3tFhPoR6Nz9mXSk/3tFhPoR6Nz9mXSk/AACAPwAAgD8AAIA/ycjIPauq\\nJkJWVVVBVlWVQQAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAJEIAAIBB\\nAACAQQAAHEIAAEBBAACoQQAAJEIAAIBBAACAQQAAwH8AAMB/AADAfwAAHEIAAEBBAACoQQAA\\n8EEAAIBBAACoQQAAHEIAAEBBAACoQQAAwH8AAMB/AADAfwAAJEIAAIBBAACAQQAA8EEAAIBB\\nAACoQQAAJEIAAIBBAACAQc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AACRCAACAQQAAgEEAABxCAABAQQAAqEEAACRCAACAQQAAgEEAAMB/\\nAADAfwAAwH8AABxCAABAQQAAqEEAAPBBAACAQQAAqEEAABxCAABAQQAAqEEAAMB/AADAfwAA\\nwH8AACRCAACAQQAAgEEAAPBBAACAQQAAqEEAACRCAACAQQAAgEEpEBAnDBUeEBUAAAADEJu+\\nBHIuv52RKr8DEJu+BHIuv52RKr8DEJu+BHIuv52RKr8AAIA/AACAPwAAgD/JyMg9q6oSQquq\\nakGrqppBAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAkQgAAgEEAAIBB\\nAAAEQgAA4EEAACBBAAAkQgAAgEEAAIBBAADAfwAAwH8AAMB/AAAEQgAA4EEAACBBAAA0QgAA\\nkEEAAFBBAAAEQgAA4EEAACBBAADAfwAAwH8AAMB/AAAkQgAAgEEAAIBBAAA0QgAAkEEAAFBB\\nAAAkQgAAgEEAAIBBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAJEIAAIBBAACAQQAABEIAAOBBAAAgQQAAJEIAAIBBAACAQQAAwH8AAMB/\\nAADAfwAABEIAAOBBAAAgQQAANEIAAJBBAABQQQAABEIAAOBBAAAgQQAAwH8AAMB/AADAfwAA\\nJEIAAIBBAACAQQAANEIAAJBBAABQQQAAJEIAAIBBAACAQSkQECEcCi0SDQAAAEMfk75DHxO/\\nrylEv0Mfk75DHxO/rylEv0Mfk75DHxO/rylEvwAAgD8AAIA/AACAP8nIyD2rqh5CVlWlQQAA\\nUEEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAOBBAADAQAAAQEIAALhB\\nAAAQQQAAPEIAAOBBAADAQAAAQEIAAMB/AADAfwAAwH8AALhBAAAQQQAAPEIAAPBBAACgQAAA\\nOEIAALhBAAAQQQAAPEIAAMB/AADAfwAAwH8AAOBBAADAQAAAQEIAAPBBAACgQAAAOEIAAOBB\\nAADAQAAAQELNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADgQQAAwEAAAEBCAAC4QQAAEEEAADxCAADgQQAAwEAAAEBCAADAfwAAwH8AAMB/\\nAAC4QQAAEEEAADxCAADwQQAAoEAAADhCAAC4QQAAEEEAADxCAADAfwAAwH8AAMB/AADgQQAA\\nwEAAAEBCAADwQQAAoEAAADhCAADgQQAAwEAAAEBCHAYwFwkvHgUuAAAAeagAv4aOXL+vCZO9\\neagAv4aOXL+vCZO9eagAv4aOXL+vCZO9AACAP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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D(argsPlot3d = list(   xlim = c(0,max(pts[,1])+10),   ylim = c(0,max(pts[,2])+10),   zlim = c(0,max(pts[,3])+10))) plotHull3D(pts, drawPoints = TRUE, drawLines = FALSE,   argsPolygon3d = list(alpha = 1), addRays = TRUE) finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D(argsPlot3d = list(   xlim = c(0,max(pts[,1])+10),   ylim = c(0,max(pts[,2])+10),   zlim = c(0,max(pts[,3])+10))) plotHull3D(pts, drawPoints = TRUE, argsPolygon3d = list(color = \"red\"), addRays = TRUE) plotCones3D(pts, argsPolygon3d = list(alpha = 1), rectangle = TRUE) finalize3D() 3D plot  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ADAfwAAwH8AAMB/AADwQQAA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\\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ADQQQAAikIAADhCAADQQQAA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\\ngD8AAMB/AADAfwAAwH8AAMB/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ADAfwAAwH8AAEBCAACgQAAA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\\nikIAAMBBAAAQQQAATEIAAMBB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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# }"},{"path":"http://relund.github.io/gMOIP/reference/plotLines2D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot the lines of a linear mathematical program (Ax = b) — plotLines2D","title":"Plot the lines of a linear mathematical program (Ax = b) — plotLines2D","text":"Plot lines linear mathematical program (Ax = b)","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotLines2D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot the lines of a linear mathematical program (Ax = b) — plotLines2D","text":"","code":"plotLines2D(A, b, nonneg = rep(TRUE, ncol(A)), latex = FALSE, ...)"},{"path":"http://relund.github.io/gMOIP/reference/plotLines2D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot the lines of a linear mathematical program (Ax = b) — plotLines2D","text":"constraint matrix. b Right hand side. nonneg boolean vector length number variables. entry k TRUE variable k must non-negative line plotted . latex True make latex math labels TikZ. ... arguments passed ggplot plotting functions. must done lists. Currently following arguments supported: argsTheme: list arguments ggplot2::theme.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotLines2D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot the lines of a linear mathematical program (Ax = b) — plotLines2D","text":"ggplot object.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotLines2D.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Plot the lines of a linear mathematical program (Ax = b) — plotLines2D","text":"general properly use plotPolytope() instead function.","code":""},{"path":[]},{"path":"http://relund.github.io/gMOIP/reference/plotLines2D.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Plot the lines of a linear mathematical program (Ax = b) — plotLines2D","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotMTeX3D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot TeX in the margin — plotMTeX3D","title":"Plot TeX in the margin — plotMTeX3D","text":"Plot TeX margin","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotMTeX3D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot TeX in the margin — plotMTeX3D","text":"","code":"plotMTeX3D(tex, edge, line = 0, at = NULL, pos = NA, ...)"},{"path":"http://relund.github.io/gMOIP/reference/plotMTeX3D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot TeX in the margin — plotMTeX3D","text":"tex TeX string edge position draw axis text. line ``line'' plot margin draw label . value coordinate draw axis. pos position draw axis text. ... arguments passed plotTeX3D().","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotMTeX3D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot TeX in the margin — plotMTeX3D","text":"object IDs objects added scene.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotNDSet2D.html","id":null,"dir":"Reference","previous_headings":"","what":"Create a plot of a discrete non-dominated set. — plotNDSet2D","title":"Create a plot of a discrete non-dominated set. — plotNDSet2D","text":"Create plot discrete non-dominated set.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotNDSet2D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Create a plot of a discrete non-dominated set. — plotNDSet2D","text":"","code":"plotNDSet2D(   points,   crit,   addTriangles = FALSE,   addHull = TRUE,   latex = FALSE,   labels = NULL )"},{"path":"http://relund.github.io/gMOIP/reference/plotNDSet2D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Create a plot of a discrete non-dominated set. — plotNDSet2D","text":"points Data frame non-dominated points. crit Either max min (used add iso-profit line). vector currently supported. addTriangles Add search triangles defined non-dominated extreme points. addHull Add convex hull rays. latex true make latex math labels TikZ. labels NULL add labels. 'n' labels show points. equal coord add coordinates points. Otherwise number points one.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotNDSet2D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Create a plot of a discrete non-dominated set. — plotNDSet2D","text":"ggplot object.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotNDSet2D.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Create a plot of a discrete non-dominated set. — plotNDSet2D","text":"Currently points checked dominance. , MILP models nondominated points may fact dominated segment.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotNDSet2D.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Create a plot of a discrete non-dominated set. — plotNDSet2D","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotNDSet2D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Create a plot of a discrete non-dominated set. — plotNDSet2D","text":"","code":"dat <- data.frame(z1=c(12,14,16,18,18,18,14,15,15), z2=c(18,16,12,4,2,6,14,14,16)) points <- addNDSet(dat, crit = \"min\", keepDom = TRUE) plotNDSet2D(points, crit = \"min\", addTriangles = TRUE)  plotNDSet2D(points, crit = \"min\", addTriangles = FALSE)  plotNDSet2D(points, crit = \"min\", addTriangles = TRUE, addHull = FALSE)  points <- addNDSet(dat, crit = \"max\", keepDom = TRUE) plotNDSet2D(points, crit = \"max\", addTriangles = TRUE)  plotNDSet2D(points, crit = \"max\", addHull = FALSE)"},{"path":"http://relund.github.io/gMOIP/reference/plotPlane3D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot a plane in 3D. — plotPlane3D","title":"Plot a plane in 3D. — plotPlane3D","text":"Plot plane 3D.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPlane3D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot a plane in 3D. — plotPlane3D","text":"","code":"plotPlane3D(   normal,   point = NULL,   offset = 0,   useShade = TRUE,   useLines = FALSE,   usePoints = FALSE,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/plotPlane3D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot a plane in 3D. — plotPlane3D","text":"normal Normal plane. point point plane. offset offset plane (used point = NULL). useShade Plot shade plane. useLines Plot lines inside plane. usePoints Plot point shapes inside plane. ... arguments passed RGL plotting functions. must done lists (see examples). Currently following arguments supported: argsPlanes3d: list arguments rgl::planes3d() used useShade = TRUE. argsLines: list arguments rgl::persp3d() useLines = TRUE. Moreover, list may contain lines: number lines.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPlane3D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot a plane in 3D. — plotPlane3D","text":"NULL (invisible)","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPlane3D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Plot a plane in 3D. — plotPlane3D","text":"3D plot 3D plot","code":"# \\donttest{ ini3D(argsPlot3d = list(xlim = c(-1,10), ylim = c(-1,10), zlim = c(-1,10)) ) plotPlane3D(c(1,1,1), point = c(1,1,1)) plotPoints3D(c(1,1,1)) plotPlane3D(c(1,2,1), point = c(2,2,2), argsPlanes3d = list(color=\"red\")) plotPoints3D(c(2,2,2)) plotPlane3D(c(2,1,1), offset = -6, argsPlanes3d = list(color=\"blue\")) plotPlane3D(c(2,1,1), argsPlanes3d = list(color=\"green\")) finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D(argsPlot3d = list(xlim = c(-1,10), ylim = c(-1,10), zlim = c(-1,10)) ) plotPlane3D(c(1,1,1), point = c(1,1,1), useLines = TRUE, useShade = TRUE) ids <- plotPlane3D(c(1,2,1), point = c(2,2,2), argsLines = list(col=\"blue\", lines = 100),             useLines = TRUE) finalize3D() 3D plot  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aHxr6yPjRATsFLPxW8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\\nEz86zRM/Oc0TPzvNEz87zRM/O80TP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Q4HkE5jmO+chxHv8dx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\\nF0E5juO+OY7jvlVVFUGrqqq+OY7jv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3Ic50A5jmO+5DgOPzmO40A5juO95DgOPwAA4EAAAAAA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\\nAAAAgAAAAIAAAACAAAAAgAAAAIAAAACAAAAAgAAAAIAAAACAAAAAgA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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# pop3d(id = ids) # remove last plane # }"},{"path":"http://relund.github.io/gMOIP/reference/plotPoints3D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot points in 3D. — plotPoints3D","title":"Plot points in 3D. — plotPoints3D","text":"Plot points 3D.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPoints3D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot points in 3D. — plotPoints3D","text":"","code":"plotPoints3D(pts, addText = FALSE, ...)"},{"path":"http://relund.github.io/gMOIP/reference/plotPoints3D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot points in 3D. — plotPoints3D","text":"pts vector matrix points. addText Add text points. Currently coord (coordinates), rownames (rownames) supported vector text. ... arguments passed RGL plotting functions. must done lists (see examples). Currently following arguments supported: argsPlot3d: list arguments rgl::plot3d. argsPch3d: list arguments rgl::pch3d. argsText3d: list arguments rgl::text3d.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPoints3D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot points in 3D. — plotPoints3D","text":"Object ids (invisible).","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPoints3D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Plot points in 3D. — plotPoints3D","text":"3D plot 3D plot","code":"# \\donttest{ ini3D() pts<-matrix(c(1,1,1,5,5,5), ncol = 3, byrow = TRUE) plotPoints3D(pts) plotPoints3D(c(2,3,3), argsPlot3d = list(col = \"red\", size = 10)) plotPoints3D(c(3,2,3), argsPlot3d = list(col = \"blue\", size = 10, type=\"p\")) plotPoints3D(c(1.5,1.5,1.5), argsPlot3d = list(col = \"blue\", size = 10, type=\"p\")) plotPoints3D(c(2,2,2, 1,1,1), addText = \"coord\") ids <- plotPoints3D(c(3,3,3, 4,4,4), addText = \"rownames\") finalize3D() 3D plot  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(point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef 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HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    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float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# pop3d(ids) # remove the last again # }"},{"path":"http://relund.github.io/gMOIP/reference/plotPolygon3D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot a polygon. — plotPolygon3D","title":"Plot a polygon. — plotPolygon3D","text":"Plot polygon.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolygon3D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot a polygon. — plotPolygon3D","text":"","code":"plotPolygon3D(   pts,   useShade = TRUE,   useLines = FALSE,   usePoints = FALSE,   useFrame = TRUE,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/plotPolygon3D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot a polygon. — plotPolygon3D","text":"pts Vertices. useShade Plot shade polygon. useLines Plot lines inside polygon. usePoints Plot point shapes inside polygon. useFrame Plot frame around polygon. ... arguments passed RGL plotting functions. must done lists (see examples). Currently following arguments supported: argsShade: list arguments rgl::polygon3d (n > 4 vertices), rgl::triangles3d() (n = 3 vertices) rgl::quads3d() (n = 4 vertices) useShade = TRUE. argsFrame: list arguments rgl::lines3d useFrame = TRUE. argsPoints: list arguments rgl::shade3d usePoints = TRUE. important give texture using texture. texture can set using getTexture(). argsLines: list arguments rgl::persp3d() useLines = TRUE. Moreover, list may contain lines: number lines.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolygon3D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot a polygon. — plotPolygon3D","text":"Object ids (invisible).","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolygon3D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Plot a polygon. — plotPolygon3D","text":"3D plot 3D plot 3D plot 3D plot 3D plot","code":"# \\donttest{ pts <- data.frame(x = c(1,0,0,0.4), y = c(0,1,0,0.3), z = c(0,0,1,0.3)) pts <- data.frame(x = c(1,0,0), y = c(0,1,0), z = c(0,0,1))  ini3D() plotPolygon3D(pts) finalize3D() 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D() plotPolygon3D(pts, argsShade = list(color = \"red\", alpha = 1)) finalize3D() 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D() plotPolygon3D(pts, useFrame = TRUE, argsShade = list(color = \"red\", alpha = 0.5),               argsFrame = list(color = \"green\")) finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D() plotPolygon3D(pts, useFrame = TRUE, useLines = TRUE, useShade = TRUE,               argsShade = list(color = \"red\", alpha = 0.2),               argsLines = list(color = \"blue\")) finalize3D() 3D plot  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AkCWn4GU/iMb6PQAAwH8fGms/iMb6PQAA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\\nwH8vp2A/iMZ6Pw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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D() ids <- plotPolygon3D(pts, usePoints = TRUE, useFrame = TRUE,               argsPoints = list(texture = getTexture(pch = 16, cex = 20))) finalize3D() 3D plot  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float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# pop3d(id = ids) # remove object again  # In general you have to finetune size and numbers when you use textures # Different pch for (i in 0:3) {   fname <- getTexture(pch = 15+i, cex = 30)   ini3D(TRUE)   plotPolygon3D(pts, usePoints = TRUE, argsPoints = list(texture = fname))   finalize3D() }  # Size of pch for (i in 1:4) {   fname <- getTexture(pch = 15+i, cex = 10 * i)   ini3D(TRUE)   plotPolygon3D(pts, usePoints = TRUE, argsPoints = list(texture = fname))   finalize3D() }  # Number of pch fname <- getTexture(pch = 16, cex = 20) for (i in 1:4) {   ini3D(TRUE)   plotPolygon3D(pts, usePoints = TRUE,                 argsPoints = list(texture = fname, texcoords = rbind(pts$x, pts$y, pts$z)*5*i))   finalize3D() } # }"},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot the polytope (bounded convex set) of a linear mathematical program (Ax <= b) — plotPolytope","title":"Plot the polytope (bounded convex set) of a linear mathematical program (Ax <= b) — plotPolytope","text":"wrapper function calling plotPolytope2D() (2D graphics) plotPolytope3D() (3D graphics).","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot the polytope (bounded convex set) of a linear mathematical program (Ax <= b) — plotPolytope","text":"","code":"plotPolytope(   A,   b,   obj = NULL,   type = rep(\"c\", ncol(A)),   nonneg = rep(TRUE, ncol(A)),   crit = \"max\",   faces = type,   plotFaces = TRUE,   plotFeasible = TRUE,   plotOptimum = FALSE,   latex = FALSE,   labels = NULL,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot the polytope (bounded convex set) of a linear mathematical program (Ax <= b) — plotPolytope","text":"constraint matrix. b Right hand side. obj vector objective coefficients. type character vector length number variables. entry k '' variable \\(k\\) must integer 'c' continuous. nonneg boolean vector length number variables. entry k TRUE variable k must non-negative. crit Either max min (used add iso-profit line) faces character vector length number variables. entry k '' variable \\(k\\) must integer 'c' continuous. Useful e.g. want show linear relaxation IP. plotFaces True plot faces. plotFeasible True plot feasible points/segments (relevant IPLP/MILP). plotOptimum Show optimum corner solution point (alternative solutions one shown) add iso-profit line. latex True make latex math labels TikZ. labels NULL add labels. 'n' labels show points. equal coord add coordinates points. Otherwise number points one. ... 2D, arguments passed ggplot plotting functions. must done lists. Currently following arguments supported: argsFaces: list arguments plotHull2D. argsFeasible: list arguments ggplot2 functions: geom_point: list arguments ggplot2::geom_point. geom_line: list arguments ggplot2::geom_line. argsLabels: list arguments ggplot2 functions: geom_text: list arguments ggplot2::geom_text. argsOptimum: geom_point: list arguments ggplot2::geom_point. geom_abline: list arguments ggplot2::geom_abline. geom_label: list arguments ggplot2::geom_label. argsTheme: list arguments ggplot2::theme. 3D arguments passed RGL plotting functions. must done lists. Currently following arguments supported: argsAxes3d: list arguments rgl::axes3d. argsPlot3d: list arguments rgl::plot3d open RGL window. argsTitle3d: list arguments rgl::title3d. argsFaces: list arguments plotHull3D. argsFeasible: list arguments RGL functions: points3d: list arguments rgl::points3d. segments3d: list arguments rgl::segments3d. triangles3d: list arguments rgl::triangles3d. argsLabels: list arguments RGL functions: points3d: list arguments rgl::points3d. text3d: list arguments rgl::text3d. argsOptimum: list arguments RGL functions: points3d: list arguments rgl::points3d.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot the polytope (bounded convex set) of a linear mathematical program (Ax <= b) — plotPolytope","text":"2D ggplot object. 3D RGL window 3D plot.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Plot the polytope (bounded convex set) of a linear mathematical program (Ax <= b) — plotPolytope","text":"feasible region defined constraints must bounded (.e. extreme rays) otherwise may see strange results.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Plot the polytope (bounded convex set) of a linear mathematical program (Ax <= b) — plotPolytope","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Plot the polytope (bounded convex set) of a linear mathematical program (Ax <= b) — plotPolytope","text":"3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot","code":"#### 2D examples #### # Define the model max/min coeff*x st. Ax<=b, x>=0 A <- matrix(c(-3,2,2,4,9,10), ncol = 2, byrow = TRUE) b <- c(3,27,90) obj <- c(7.75, 10)  ## LP model # The polytope with the corner points plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = FALSE,    labels = NULL,    argsFaces = list(argsGeom_polygon = list(fill = \"red\")) )  # With optimum and labels: plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\",    argsOptimum = list(lty=\"solid\") )  # Minimize: plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"min\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"n\" )  # Note return a ggplot so can e.g. add other labels on e.g. the axes: p <- plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" ) p + ggplot2::xlab(\"x\") + ggplot2::ylab(\"y\")   # More examples # \\donttest{ ## LP-model with no non-negativity constraints A <- matrix(c(-3, 2, 2, 4, 9, 10, 1, -2), ncol = 2, byrow = TRUE) b <- c(3, 27, 90, 2) obj <- c(7.75, 10) plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    nonneg = rep(FALSE, ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = FALSE,    labels = NULL )     ## The package don't plot feasible regions that are unbounded e.g if we drop the 2 and 3 constraint A <- matrix(c(-3,2), ncol = 2, byrow = TRUE) b <- c(3) obj <- c(7.75, 10) # Wrong plot plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = FALSE,    labels = NULL )  # One solution is to add a bounding box and check if the bounding box is binding A <- rbind(A, c(1,0), c(0,1)) b <- c(b, 10, 10) plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = FALSE,    labels = NULL )    ## ILP model A <- matrix(c(-3,2,2,4,9,10), ncol = 2, byrow = TRUE) b <- c(3,27,90) obj <- c(7.75, 10) # ILP model with LP faces: plotPolytope(    A,    b,    obj,    type = rep(\"i\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\",    argsLabels = list(size = 4, color = \"blue\"),    argsFeasible = list(color = \"red\", size = 3) )  #ILP model with IP faces: plotPolytope(    A,    b,    obj,    type = rep(\"i\", ncol(A)),    crit = \"max\",    faces = rep(\"i\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" )    ## MILP model A <- matrix(c(-3,2,2,4,9,10), ncol = 2, byrow = TRUE) b <- c(3,27,90) obj <- c(7.75, 10) # Second coordinate integer plotPolytope(    A,    b,    obj,    type = c(\"c\", \"i\"),    crit = \"max\",    faces = c(\"c\", \"i\"),    plotFaces = FALSE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\",    argsFeasible = list(color = \"red\") )  # First coordinate integer and with LP faces: plotPolytope(    A,    b,    obj,    type = c(\"i\", \"c\"),    crit = \"max\",    faces = c(\"c\", \"c\"),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" )  # First coordinate integer and with LP faces: plotPolytope(    A,    b,    obj,    type = c(\"i\", \"c\"),    crit = \"max\",    faces = c(\"i\", \"c\"),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" )  # }    #### 3D examples #### # \\donttest{ # Ex 1 view <- matrix( c(-0.412063330411911, -0.228006735444069, 0.882166087627411, 0, 0.910147845745087,                   -0.0574885793030262, 0.410274744033813, 0, -0.042830865830183, 0.97196090221405,                   0.231208890676498, 0, 0, 0, 0, 1), nc = 4) loadView(v = view) 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":6044,\"objects\":{\"6048\":{\"id\":6048,\"type\":\"light\",\"vertices\":[[0,0,1]],\"colors\":[[1,1,1,1],[1,1,1,1],[1,1,1,1]],\"viewpoint\":true,\"finite\":false},\"6047\":{\"id\":6047,\"type\":\"background\",\"material\":{},\"colors\":\"0\",\"centers\":\"1\",\"sphere\":false,\"fogtype\":\"none\",\"fogscale\":1,\"flags\":32768},\"6049\":{\"id\":6049,\"type\":\"background\",\"material\":{\"lit\":false,\"back\":\"lines\"},\"colors\":\"2\",\"centers\":\"3\",\"sphere\":false,\"fogtype\":\"none\",\"fogscale\":1,\"flags\":32768},\"6044\":{\"id\":6044,\"type\":\"subscene\",\"par3d\":{\"antialias\":8,\"FOV\":60,\"ignoreExtent\":false,\"listeners\":6044,\"mouseMode\":{\"none\":\"none\",\"left\":\"trackball\",\"right\":\"zoom\",\"middle\":\"fov\",\"wheel\":\"pull\"},\"observer\":[0,0,426.0845031738281],\"modelMatrix\":[[-0.412063330411911,0.9101478457450867,-0.04283086583018303,0],[-0.2280067354440689,-0.0574885793030262,0.9719609022140503,0],[0.8821660876274109,0.4102747440338135,0.2312088906764984,-426.0845031738281],[0,0,0,1]],\"projMatrix\":[[1.732050776481628,0,0,0],[0,1.732050776481628,0,0],[0,0,-1.99999988079071,-639.126708984375],[0,0,-1,0]],\"skipRedraw\":false,\"userMatrix\":[[-0.412063330411911,0.910147845745087,-0.042830865830183,0],[-0.228006735444069,-0.0574885793030262,0.97196090221405,0],[0.882166087627411,0.410274744033813,0.231208890676498,0],[0,0,0,1]],\"userProjection\":[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]],\"scale\":[1,1,1],\"viewport\":{\"x\":0,\"y\":0,\"width\":1,\"height\":1},\"zoom\":1,\"bbox\":[123,-123,123,-123,123,-123],\"windowRect\":[0,0,256,256],\"family\":\"sans\",\"font\":1,\"cex\":1,\"useFreeType\":true,\"fontname\":\"NULL\",\"maxClipPlanes\":2147483647,\"glVersion\":\"NA\",\"activeSubscene\":0},\"embeddings\":{\"viewport\":\"replace\",\"projection\":\"replace\",\"model\":\"replace\",\"mouse\":\"replace\"},\"objects\":[6049,6048],\"subscenes\":[],\"flags\":33024}},\"crosstalk\":{\"key\":[],\"group\":[],\"id\":[],\"options\":[]},\"width\":700,\"height\":432.6328800988875,\"buffer\":{\"accessors\":[{\"bufferView\":0,\"componentType\":5126,\"count\":1,\"type\":\"VEC4\"},{\"bufferView\":1,\"componentType\":5121,\"count\":1,\"type\":\"VEC3\"},{\"bufferView\":2,\"componentType\":5121,\"count\":1,\"type\":\"VEC4\"},{\"bufferView\":3,\"componentType\":5121,\"count\":1,\"type\":\"VEC3\"}],\"bufferViews\":[{\"buffer\":0,\"byteLength\":16,\"byteOffset\":0},{\"buffer\":0,\"byteLength\":3,\"byteOffset\":16},{\"buffer\":0,\"byteLength\":4,\"byteOffset\":19},{\"buffer\":0,\"byteLength\":3,\"byteOffset\":23}],\"buffers\":[{\"byteLength\":26,\"bytes\":\"mZiYPpmYmD6ZmJg+AACAPwAAAAEBAQEAAAA=\"}]},\"context\":{\"shiny\":false,\"rmarkdown\":null},\"vertexShader\":\"#line 2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}A <- matrix( c(    3, 2, 5,    2, 1, 1,    1, 1, 3,    5, 2, 4 ), nc = 3, byrow = TRUE) b <- c(55, 26, 30, 57) obj <- c(20, 10, 15) # LP model plotPolytope(A, b, plotOptimum = TRUE, obj = obj, labels = \"coord\") 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":6044,\"objects\":{\"6098\":{\"id\":6098,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"0\",\"colors\":\"1\",\"centers\":\"2\",\"ignoreExtent\":false,\"flags\":32832},\"6100\":{\"id\":6100,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":0,\"floating\":true,\"edge\":[0,1,1]},\"vertices\":\"3\",\"colors\":\"4\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"5\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"6101\":{\"id\":6101,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"6\",\"colors\":\"7\",\"centers\":\"8\",\"ignoreExtent\":false,\"flags\":32832},\"6102\":{\"id\":6102,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"9\",\"colors\":\"11\",\"centers\":\"12\",\"normals\":\"10\",\"ignoreExtent\":false,\"flags\":32811},\"6103\":{\"id\":6103,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"13\",\"colors\":\"14\",\"centers\":\"15\",\"ignoreExtent\":false,\"flags\":32832},\"6104\":{\"id\":6104,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"16\",\"colors\":\"18\",\"centers\":\"19\",\"normals\":\"17\",\"ignoreExtent\":false,\"flags\":32811},\"6105\":{\"id\":6105,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"20\",\"colors\":\"21\",\"centers\":\"22\",\"ignoreExtent\":false,\"flags\":32832},\"6106\":{\"id\":6106,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"23\",\"colors\":\"25\",\"centers\":\"26\",\"normals\":\"24\",\"ignoreExtent\":false,\"flags\":32811},\"6107\":{\"id\":6107,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"27\",\"colors\":\"28\",\"centers\":\"29\",\"ignoreExtent\":false,\"flags\":32832},\"6108\":{\"id\":6108,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"30\",\"colors\":\"32\",\"centers\":\"33\",\"normals\":\"31\",\"ignoreExtent\":false,\"flags\":32811},\"6109\":{\"id\":6109,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"34\",\"colors\":\"35\",\"centers\":\"36\",\"ignoreExtent\":false,\"flags\":32832},\"6110\":{\"id\":6110,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"37\",\"colors\":\"39\",\"centers\":\"40\",\"normals\":\"38\",\"ignoreExtent\":false,\"flags\":32811},\"6111\":{\"id\":6111,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"41\",\"colors\":\"42\",\"centers\":\"43\",\"ignoreExtent\":false,\"flags\":32832},\"6112\":{\"id\":6112,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"44\",\"colors\":\"46\",\"centers\":\"47\",\"normals\":\"45\",\"ignoreExtent\":false,\"flags\":32811},\"6113\":{\"id\":6113,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"48\",\"colors\":\"49\",\"centers\":\"50\",\"ignoreExtent\":false,\"flags\":32832},\"6114\":{\"id\":6114,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"51\",\"colors\":\"53\",\"centers\":\"54\",\"normals\":\"52\",\"ignoreExtent\":false,\"flags\":32811},\"6115\":{\"id\":6115,\"type\":\"points\",\"material\":{\"lit\":false,\"size\":7},\"vertices\":\"55\",\"colors\":\"56\",\"centers\":\"57\",\"ignoreExtent\":false,\"flags\":34816},\"6116\":{\"id\":6116,\"type\":\"points\",\"material\":{\"lit\":false,\"size\":7},\"vertices\":\"58\",\"colors\":\"59\",\"centers\":\"60\",\"ignoreExtent\":false,\"flags\":34816},\"6117\":{\"id\":6117,\"type\":\"text\",\"material\":{\"lit\":false},\"vertices\":\"61\",\"colors\":\"62\",\"texts\":[[\"(1.8, 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gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, plotOptimum = TRUE, obj = obj, labels = \"coord\",              argsFaces = list(drawLines = FALSE, argsPolygon3d = list(alpha = 0.95)),              argsLabels = list(points3d = list(color = \"blue\"))) 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":6044,\"objects\":{\"6127\":{\"id\":6127,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"0\",\"colors\":\"1\",\"centers\":\"2\",\"ignoreExtent\":false,\"flags\":32832},\"6129\":{\"id\":6129,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":0,\"floating\":true,\"edge\":[0,1,1]},\"vertices\":\"3\",\"colors\":\"4\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"5\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"6130\":{\"id\":6130,\"type\":\"triangles\",\"material\":{\"alpha\":0.9490196108818054,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"6\",\"colors\":\"8\",\"centers\":\"9\",\"normals\":\"7\",\"ignoreExtent\":false,\"flags\":32811},\"6131\":{\"id\":6131,\"type\":\"quads\",\"material\":{\"alpha\":0.9490196108818054,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"10\",\"colors\":\"12\",\"centers\":\"13\",\"normals\":\"11\",\"ignoreExtent\":false,\"flags\":32811},\"6132\":{\"id\":6132,\"type\":\"triangles\",\"material\":{\"alpha\":0.9490196108818054,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"14\",\"colors\":\"16\",\"centers\":\"17\",\"normals\":\"15\",\"ignoreExtent\":false,\"flags\":32811},\"6133\":{\"id\":6133,\"type\":\"quads\",\"material\":{\"alpha\":0.9490196108818054,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"18\",\"colors\":\"20\",\"centers\":\"21\",\"normals\":\"19\",\"ignoreExtent\":false,\"flags\":32811},\"6134\":{\"id\":6134,\"type\":\"triangles\",\"material\":{\"alpha\":0.9490196108818054,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"22\",\"colors\":\"24\",\"centers\":\"25\",\"normals\":\"23\",\"ignoreExtent\":false,\"flags\":32811},\"6135\":{\"id\":6135,\"type\":\"triangles\",\"material\":{\"alpha\":0.9490196108818054,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"26\",\"colors\":\"28\",\"centers\":\"29\",\"normals\":\"27\",\"ignoreExtent\":false,\"flags\":32811},\"6136\":{\"id\":6136,\"type\":\"quads\",\"material\":{\"alpha\":0.9490196108818054,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"30\",\"colors\":\"32\",\"centers\":\"33\",\"normals\":\"31\",\"ignoreExtent\":false,\"flags\":32811},\"6137\":{\"id\":6137,\"type\":\"points\",\"material\":{\"lit\":false,\"size\":7},\"vertices\":\"34\",\"colors\":\"35\",\"centers\":\"36\",\"ignoreExtent\":false,\"flags\":34816},\"6138\":{\"id\":6138,\"type\":\"points\",\"material\":{\"lit\":false,\"size\":7},\"vertices\":\"37\",\"colors\":\"38\",\"centers\":\"39\",\"ignoreExtent\":false,\"flags\":34816},\"6139\":{\"id\":6139,\"type\":\"text\",\"material\":{\"lit\":false},\"vertices\":\"40\",\"colors\":\"41\",\"texts\":[[\"(1.8, 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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# ILP model plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"i\",\"i\"), plotOptimum = TRUE, obj = obj) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# MILP model plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"c\",\"i\"), plotOptimum = TRUE, obj = obj) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"c\",\"i\",\"i\"), plotOptimum = TRUE, obj = obj) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"i\",\"c\"), plotOptimum = TRUE, obj = obj) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"i\",\"c\"), plotFaces = FALSE) 3D plot  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gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, type = c(\"c\",\"i\",\"c\"), plotOptimum = TRUE, obj = obj, plotFaces = FALSE) 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, type = c(\"c\",\"c\",\"i\"), plotOptimum = TRUE, obj = obj, plotFaces = FALSE)  # Ex 2 view <- matrix( c(-0.812462985515594, -0.029454167932272, 0.582268416881561, 0, 0.579295456409454,                   -0.153386667370796, 0.800555109977722, 0, 0.0657325685024261, 0.987727105617523,                   0.14168381690979, 0, 0, 0, 0, 1), nc = 4) loadView(v = view) 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":6044,\"objects\":{\"6048\":{\"id\":6048,\"type\":\"light\",\"vertices\":[[0,0,1]],\"colors\":[[1,1,1,1],[1,1,1,1],[1,1,1,1]],\"viewpoint\":true,\"finite\":false},\"6049\":{\"id\":6049,\"type\":\"background\",\"material\":{\"lit\":false,\"back\":\"lines\"},\"colors\":\"0\",\"centers\":\"1\",\"sphere\":false,\"fogtype\":\"none\",\"fogscale\":1,\"flags\":32768},\"6044\":{\"id\":6044,\"type\":\"subscene\",\"par3d\":{\"antialias\":8,\"FOV\":60,\"ignoreExtent\":false,\"listeners\":6044,\"mouseMode\":{\"none\":\"none\",\"left\":\"trackball\",\"right\":\"zoom\",\"middle\":\"fov\",\"wheel\":\"pull\"},\"observer\":[0,0,426.0845031738281],\"modelMatrix\":[[-0.8124629855155945,0.5792954564094543,0.06573256850242615,0],[-0.02945416793227196,-0.1533866673707962,0.9877271056175232,0],[0.5822684168815613,0.8005551099777222,0.14168381690979,-426.0845031738281],[0,0,0,1]],\"projMatrix\":[[1.732050776481628,0,0,0],[0,1.732050776481628,0,0],[0,0,-1.99999988079071,-639.126708984375],[0,0,-1,0]],\"skipRedraw\":false,\"userMatrix\":[[-0.812462985515594,0.579295456409454,0.06573256850242611,0],[-0.029454167932272,-0.153386667370796,0.987727105617523,0],[0.5822684168815609,0.8005551099777219,0.14168381690979,0],[0,0,0,1]],\"userProjection\":[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]],\"scale\":[1,1,1],\"viewport\":{\"x\":0,\"y\":0,\"width\":1,\"height\":1},\"zoom\":1,\"bbox\":[123,-123,123,-123,123,-123],\"windowRect\":[0,0,256,256],\"family\":\"sans\",\"font\":1,\"cex\":1,\"useFreeType\":true,\"fontname\":\"NULL\",\"maxClipPlanes\":2147483647,\"glVersion\":\"NA\",\"activeSubscene\":0},\"embeddings\":{\"viewport\":\"replace\",\"projection\":\"replace\",\"model\":\"replace\",\"mouse\":\"replace\"},\"objects\":[6049,6048],\"subscenes\":[],\"flags\":33024}},\"crosstalk\":{\"key\":[],\"group\":[],\"id\":[],\"options\":[]},\"width\":700,\"height\":432.6328800988875,\"buffer\":{\"accessors\":[{\"bufferView\":0,\"componentType\":5121,\"count\":1,\"type\":\"VEC4\"},{\"bufferView\":1,\"componentType\":5121,\"count\":1,\"type\":\"VEC3\"}],\"bufferViews\":[{\"buffer\":0,\"byteLength\":4,\"byteOffset\":0},{\"buffer\":0,\"byteLength\":3,\"byteOffset\":4}],\"buffers\":[{\"byteLength\":7,\"bytes\":\"AQEBAQAAAA==\"}]},\"context\":{\"shiny\":false,\"rmarkdown\":null},\"vertexShader\":\"#line 2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}A <- matrix( c(    1, 1, 1,    3, 0, 1 ), nc = 3, byrow = TRUE) b <- c(10, 24) obj <- c(20, 10, 15) plotPolytope(A, b, plotOptimum = TRUE, obj = obj, labels = \"coord\") 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":6044,\"objects\":{\"6971\":{\"id\":6971,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"0\",\"colors\":\"1\",\"centers\":\"2\",\"ignoreExtent\":false,\"flags\":32832},\"6973\":{\"id\":6973,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":0,\"floating\":true,\"edge\":[0,1,1]},\"vertices\":\"3\",\"colors\":\"4\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"5\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"6974\":{\"id\":6974,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"6\",\"colors\":\"7\",\"centers\":\"8\",\"ignoreExtent\":false,\"flags\":32832},\"6975\":{\"id\":6975,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"9\",\"colors\":\"11\",\"centers\":\"12\",\"normals\":\"10\",\"ignoreExtent\":false,\"flags\":32811},\"6976\":{\"id\":6976,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"13\",\"colors\":\"14\",\"centers\":\"15\",\"ignoreExtent\":false,\"flags\":32832},\"6977\":{\"id\":6977,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"16\",\"colors\":\"18\",\"centers\":\"19\",\"normals\":\"17\",\"ignoreExtent\":false,\"flags\":32811},\"6978\":{\"id\":6978,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"20\",\"colors\":\"21\",\"centers\":\"22\",\"ignoreExtent\":false,\"flags\":32832},\"6979\":{\"id\":6979,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"23\",\"colors\":\"25\",\"centers\":\"26\",\"normals\":\"24\",\"ignoreExtent\":false,\"flags\":32811},\"6980\":{\"id\":6980,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"27\",\"colors\":\"28\",\"centers\":\"29\",\"ignoreExtent\":false,\"flags\":32832},\"6981\":{\"id\":6981,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"30\",\"colors\":\"32\",\"centers\":\"33\",\"normals\":\"31\",\"ignoreExtent\":false,\"flags\":32811},\"6982\":{\"id\":6982,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"34\",\"colors\":\"35\",\"centers\":\"36\",\"ignoreExtent\":false,\"flags\":32832},\"6983\":{\"id\":6983,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"37\",\"colors\":\"39\",\"centers\":\"40\",\"normals\":\"38\",\"ignoreExtent\":false,\"flags\":32811},\"6984\":{\"id\":6984,\"type\":\"points\",\"material\":{\"lit\":false,\"size\":7},\"vertices\":\"41\",\"colors\":\"42\",\"centers\":\"43\",\"ignoreExtent\":false,\"flags\":34816},\"6985\":{\"id\":6985,\"type\":\"points\",\"material\":{\"lit\":false,\"size\":7},\"vertices\":\"44\",\"colors\":\"45\",\"centers\":\"46\",\"ignoreExtent\":false,\"flags\":34816},\"6986\":{\"id\":6986,\"type\":\"text\",\"material\":{\"lit\":false},\"vertices\":\"47\",\"colors\":\"48\",\"texts\":[[\"(7, 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mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# ILP model plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"i\",\"i\"), plotOptimum = TRUE, obj = obj) 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":6044,\"objects\":{\"6996\":{\"id\":6996,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"0\",\"colors\":\"1\",\"centers\":\"2\",\"ignoreExtent\":false,\"flags\":32832},\"6998\":{\"id\":6998,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":0,\"floating\":true,\"edge\":[0,1,1]},\"vertices\":\"3\",\"colors\":\"4\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"5\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"6999\":{\"id\":6999,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"6\",\"colors\":\"7\",\"centers\":\"8\",\"ignoreExtent\":false,\"flags\":32832},\"7000\":{\"id\":7000,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"9\",\"colors\":\"11\",\"centers\":\"12\",\"normals\":\"10\",\"ignoreExtent\":false,\"flags\":32811},\"7001\":{\"id\":7001,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"13\",\"colors\":\"14\",\"centers\":\"15\",\"ignoreExtent\":false,\"flags\":32832},\"7002\":{\"id\":7002,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"16\",\"colors\":\"18\",\"centers\":\"19\",\"normals\":\"17\",\"ignoreExtent\":false,\"flags\":32811},\"7003\":{\"id\":7003,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"20\",\"colors\":\"21\",\"centers\":\"22\",\"ignoreExtent\":false,\"flags\":32832},\"7004\":{\"id\":7004,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"23\",\"colors\":\"25\",\"centers\":\"26\",\"normals\":\"24\",\"ignoreExtent\":false,\"flags\":32811},\"7005\":{\"id\":7005,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"27\",\"colors\":\"28\",\"centers\":\"29\",\"ignoreExtent\":false,\"flags\":32832},\"7006\":{\"id\":7006,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"30\",\"colors\":\"32\",\"centers\":\"33\",\"normals\":\"31\",\"ignoreExtent\":false,\"flags\":32811},\"7007\":{\"id\":7007,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"34\",\"colors\":\"35\",\"centers\":\"36\",\"ignoreExtent\":false,\"flags\":32832},\"7008\":{\"id\":7008,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"37\",\"colors\":\"39\",\"centers\":\"40\",\"normals\":\"38\",\"ignoreExtent\":false,\"flags\":32811},\"7009\":{\"id\":7009,\"type\":\"points\",\"material\":{\"lit\":false},\"vertices\":\"41\",\"colors\":\"42\",\"centers\":\"43\",\"ignoreExtent\":false,\"flags\":34816},\"7010\":{\"id\":7010,\"type\":\"points\",\"material\":{\"lit\":false,\"size\":7},\"vertices\":\"44\",\"colors\":\"45\",\"centers\":\"46\",\"ignoreExtent\":false,\"flags\":34816},\"7011\":{\"id\":7011,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"47\",\"colors\":\"48\",\"centers\":\"49\",\"ignoreExtent\":true,\"flags\":32832},\"7012\":{\"id\":7012,\"type\":\"text\",\"material\":{\"lit\":false},\"vertices\":\"50\",\"colors\":\"51\",\"texts\":[[\"0\"],[\"2\"],[\"4\"],[\"6\"],[\"8\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"52\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"7013\":{\"id\":7013,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"53\",\"colors\":\"54\",\"centers\":\"55\",\"ignoreExtent\":true,\"flags\":32832},\"7014\":{\"id\":7014,\"type\":\"text\",\"material\":{\"lit\":false},\"vertices\":\"56\",\"colors\":\"57\",\"texts\":[[\" 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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# MILP model plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"c\",\"i\"), plotOptimum = TRUE, obj = obj) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float 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mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"c\",\"i\",\"i\"), plotOptimum = TRUE, obj = obj) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"i\",\"c\"), plotOptimum = TRUE, obj = obj) 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"i\",\"c\"), plotFaces = FALSE) 3D plot  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mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, type = c(\"c\",\"i\",\"c\"), plotOptimum = TRUE, obj = obj, plotFaces = FALSE) 3D plot  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float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, type = c(\"c\",\"c\",\"i\"), plotOptimum = TRUE, obj = obj, plotFaces = FALSE)  # Ex 3 view <- matrix( c(0.976349174976349, -0.202332556247711, 0.0761845782399178, 0, 0.0903248339891434,                   0.701892614364624, 0.706531345844269, 0, -0.196427255868912, -0.682940244674683,                   0.703568696975708, 0, 0, 0, 0, 1), nc = 4) loadView(v = view) 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":6044,\"objects\":{\"6048\":{\"id\":6048,\"type\":\"light\",\"vertices\":[[0,0,1]],\"colors\":[[1,1,1,1],[1,1,1,1],[1,1,1,1]],\"viewpoint\":true,\"finite\":false},\"6049\":{\"id\":6049,\"type\":\"background\",\"material\":{\"lit\":false,\"back\":\"lines\"},\"colors\":\"0\",\"centers\":\"1\",\"sphere\":false,\"fogtype\":\"none\",\"fogscale\":1,\"flags\":32768},\"6044\":{\"id\":6044,\"type\":\"subscene\",\"par3d\":{\"antialias\":8,\"FOV\":60,\"ignoreExtent\":false,\"listeners\":6044,\"mouseMode\":{\"none\":\"none\",\"left\":\"trackball\",\"right\":\"zoom\",\"middle\":\"fov\",\"wheel\":\"pull\"},\"observer\":[0,0,426.0845031738281],\"modelMatrix\":[[0.9763491749763489,0.09032483398914337,-0.1964272558689117,0],[-0.2023325562477112,0.701892614364624,-0.6829402446746826,0],[0.07618457823991776,0.7065313458442688,0.703568696975708,-426.0845031738281],[0,0,0,1]],\"projMatrix\":[[1.732050776481628,0,0,0],[0,1.732050776481628,0,0],[0,0,-1.99999988079071,-639.126708984375],[0,0,-1,0]],\"skipRedraw\":false,\"userMatrix\":[[0.976349174976349,0.0903248339891434,-0.196427255868912,0],[-0.202332556247711,0.701892614364624,-0.682940244674683,0],[0.0761845782399178,0.706531345844269,0.703568696975708,0],[0,0,0,1]],\"userProjection\":[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]],\"scale\":[1,1,1],\"viewport\":{\"x\":0,\"y\":0,\"width\":1,\"height\":1},\"zoom\":1,\"bbox\":[123,-123,123,-123,123,-123],\"windowRect\":[0,0,256,256],\"family\":\"sans\",\"font\":1,\"cex\":1,\"useFreeType\":true,\"fontname\":\"NULL\",\"maxClipPlanes\":2147483647,\"glVersion\":\"NA\",\"activeSubscene\":0},\"embeddings\":{\"viewport\":\"replace\",\"projection\":\"replace\",\"model\":\"replace\",\"mouse\":\"replace\"},\"objects\":[6049,6048],\"subscenes\":[],\"flags\":33024}},\"crosstalk\":{\"key\":[],\"group\":[],\"id\":[],\"options\":[]},\"width\":700,\"height\":432.6328800988875,\"buffer\":{\"accessors\":[{\"bufferView\":0,\"componentType\":5121,\"count\":1,\"type\":\"VEC4\"},{\"bufferView\":1,\"componentType\":5121,\"count\":1,\"type\":\"VEC3\"}],\"bufferViews\":[{\"buffer\":0,\"byteLength\":4,\"byteOffset\":0},{\"buffer\":0,\"byteLength\":3,\"byteOffset\":4}],\"buffers\":[{\"byteLength\":7,\"bytes\":\"AQEBAQAAAA==\"}]},\"context\":{\"shiny\":false,\"rmarkdown\":null},\"vertexShader\":\"#line 2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}A <- matrix( c(    -1, 1, 0,    1, 4, 0,    2, 1, 0,    3, -4, 0,    0, 0, 4 ), nc = 3, byrow = TRUE) b <- c(5, 45, 27, 24, 10) obj <- c(5, 45, 15) plotPolytope(A, b, plotOptimum = TRUE, obj = obj, labels = \"coord\") 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# ILP model plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"i\",\"i\"), plotOptimum = TRUE, obj = obj) 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":6044,\"objects\":{\"7457\":{\"id\":7457,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"0\",\"colors\":\"1\",\"centers\":\"2\",\"ignoreExtent\":false,\"flags\":32832},\"7459\":{\"id\":7459,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":0,\"floating\":true,\"edge\":[0,1,1]},\"vertices\":\"3\",\"colors\":\"4\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"5\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"7460\":{\"id\":7460,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"6\",\"colors\":\"7\",\"centers\":\"8\",\"ignoreExtent\":false,\"flags\":32832},\"7461\":{\"id\":7461,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"9\",\"colors\":\"11\",\"centers\":\"12\",\"normals\":\"10\",\"ignoreExtent\":false,\"flags\":32811},\"7462\":{\"id\":7462,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"13\",\"colors\":\"14\",\"centers\":\"15\",\"ignoreExtent\":false,\"flags\":32832},\"7463\":{\"id\":7463,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"16\",\"colors\":\"18\",\"centers\":\"19\",\"normals\":\"17\",\"ignoreExtent\":false,\"flags\":32811},\"7464\":{\"id\":7464,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"20\",\"colors\":\"21\",\"centers\":\"22\",\"ignoreExtent\":false,\"flags\":32832},\"7465\":{\"id\":7465,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"23\",\"colors\":\"25\",\"centers\":\"26\",\"normals\":\"24\",\"ignoreExtent\":false,\"flags\":32811},\"7466\":{\"id\":7466,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"27\",\"colors\":\"28\",\"centers\":\"29\",\"ignoreExtent\":false,\"flags\":32832},\"7467\":{\"id\":7467,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"30\",\"colors\":\"32\",\"centers\":\"33\",\"normals\":\"31\",\"ignoreExtent\":false,\"flags\":32811},\"7468\":{\"id\":7468,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"34\",\"colors\":\"35\",\"centers\":\"36\",\"ignoreExtent\":false,\"flags\":32832},\"7469\":{\"id\":7469,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"37\",\"colors\":\"39\",\"centers\":\"40\",\"normals\":\"38\",\"ignoreExtent\":false,\"flags\":32811},\"7470\":{\"id\":7470,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"41\",\"colors\":\"42\",\"centers\":\"43\",\"ignoreExtent\":false,\"flags\":32832},\"7471\":{\"id\":7471,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"44\",\"colors\":\"46\",\"centers\":\"47\",\"normals\":\"45\",\"ignoreExtent\":false,\"flags\":32811},\"7472\":{\"id\":7472,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"48\",\"colors\":\"49\",\"centers\":\"50\",\"ignoreExtent\":false,\"flags\":32832},\"7473\":{\"id\":7473,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"51\",\"colors\":\"53\",\"centers\":\"54\",\"normals\":\"52\",\"ignoreExtent\":false,\"flags\":32811},\"7474\":{\"id\":7474,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"55\",\"colors\":\"56\",\"centers\":\"57\",\"ignoreExtent\":false,\"flags\":32832},\"7475\":{\"id\":7475,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"58\",\"colors\":\"60\",\"centers\":\"61\",\"normals\":\"59\",\"ignoreExtent\":false,\"flags\":32811},\"7476\":{\"id\":7476,\"type\":\"points\",\"material\":{\"lit\":false},\"vertices\":\"62\",\"colors\":\"63\",\"centers\":\"64\",\"ignoreExtent\":false,\"flags\":34816},\"7477\":{\"id\":7477,\"type\":\"points\",\"material\":{\"lit\":false,\"size\":7},\"vertices\":\"65\",\"colors\":\"66\",\"centers\":\"67\",\"ignoreExtent\":false,\"flags\":34816},\"7478\":{\"id\":7478,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"68\",\"colors\":\"69\",\"centers\":\"70\",\"ignoreExtent\":true,\"flags\":32832},\"7479\":{\"id\":7479,\"type\":\"text\",\"material\":{\"lit\":false},\"vertice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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# MILP model plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"c\",\"i\"), plotOptimum = TRUE, obj = obj) 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"c\",\"i\",\"i\"), plotOptimum = TRUE, obj = obj) 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"i\",\"c\"), plotOptimum = TRUE, obj = obj) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"i\",\"c\"), plotFaces = FALSE) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, type = c(\"c\",\"i\",\"c\"), plotOptimum = TRUE, obj = obj, plotFaces = FALSE) 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, type = c(\"c\",\"c\",\"i\"), plotOptimum = TRUE, obj = obj, plotFaces = FALSE)  # Ex 4 view <- matrix( c(-0.452365815639496, -0.446501553058624, 0.77201122045517, 0, 0.886364221572876,                   -0.320795893669128, 0.333835482597351, 0, 0.0986008867621422, 0.835299551486969,                   0.540881276130676, 0, 0, 0, 0, 1), nc = 4) loadView(v = view) 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":6044,\"objects\":{\"6048\":{\"id\":6048,\"type\":\"light\",\"vertices\":[[0,0,1]],\"colors\":[[1,1,1,1],[1,1,1,1],[1,1,1,1]],\"viewpoint\":true,\"finite\":false},\"6049\":{\"id\":6049,\"type\":\"background\",\"material\":{\"lit\":false,\"back\":\"lines\"},\"colors\":\"0\",\"centers\":\"1\",\"sphere\":false,\"fogtype\":\"none\",\"fogscale\":1,\"flags\":32768},\"6044\":{\"id\":6044,\"type\":\"subscene\",\"par3d\":{\"antialias\":8,\"FOV\":60,\"ignoreExtent\":false,\"listeners\":6044,\"mouseMode\":{\"none\":\"none\",\"left\":\"trackball\",\"right\":\"zoom\",\"middle\":\"fov\",\"wheel\":\"pull\"},\"observer\":[0,0,426.0845031738281],\"modelMatrix\":[[-0.4523658156394958,0.886364221572876,0.09860088676214218,0],[-0.4465015530586243,-0.3207958936691284,0.835299551486969,0],[0.7720112204551697,0.3338354825973511,0.5408812761306763,-426.0845031738281],[0,0,0,1]],\"projMatrix\":[[1.732050776481628,0,0,0],[0,1.732050776481628,0,0],[0,0,-1.99999988079071,-639.126708984375],[0,0,-1,0]],\"skipRedraw\":false,\"userMatrix\":[[-0.452365815639496,0.886364221572876,0.0986008867621422,0],[-0.446501553058624,-0.320795893669128,0.835299551486969,0],[0.77201122045517,0.333835482597351,0.540881276130676,0],[0,0,0,1]],\"userProjection\":[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]],\"scale\":[1,1,1],\"viewport\":{\"x\":0,\"y\":0,\"width\":1,\"height\":1},\"zoom\":1,\"bbox\":[123,-123,123,-123,123,-123],\"windowRect\":[0,0,256,256],\"family\":\"sans\",\"font\":1,\"cex\":1,\"useFreeType\":true,\"fontname\":\"NULL\",\"maxClipPlanes\":2147483647,\"glVersion\":\"NA\",\"activeSubscene\":0},\"embeddings\":{\"viewport\":\"replace\",\"projection\":\"replace\",\"model\":\"replace\",\"mouse\":\"replace\"},\"objects\":[6049,6048],\"subscenes\":[],\"flags\":33024}},\"crosstalk\":{\"key\":[],\"group\":[],\"id\":[],\"options\":[]},\"width\":700,\"height\":432.6328800988875,\"buffer\":{\"accessors\":[{\"bufferView\":0,\"componentType\":5121,\"count\":1,\"type\":\"VEC4\"},{\"bufferView\":1,\"componentType\":5121,\"count\":1,\"type\":\"VEC3\"}],\"bufferViews\":[{\"buffer\":0,\"byteLength\":4,\"byteOffset\":0},{\"buffer\":0,\"byteLength\":3,\"byteOffset\":4}],\"buffers\":[{\"byteLength\":7,\"bytes\":\"AQEBAQAAAA==\"}]},\"context\":{\"shiny\":false,\"rmarkdown\":null},\"vertexShader\":\"#line 2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}Ab <- matrix( c(    1, 1, 2, 5,    2, -1, 0, 3,    -1, 2, 1, 3,    0, -3, 5, 2    #   0, 1, 0, 4,    #   1, 0, 0, 4 ), nc = 4, byrow = TRUE) A <- Ab[,1:3] b <- Ab[,4] obj = c(1,1,3) plotPolytope(A, b, plotOptimum = TRUE, obj = obj, labels = \"coord\") 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":6044,\"objects\":{\"7926\":{\"id\":7926,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"0\",\"colors\":\"1\",\"centers\":\"2\",\"ignoreExtent\":false,\"flags\":32832},\"7928\":{\"id\":7928,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":0,\"floating\":true,\"edge\":[0,1,1]},\"vertices\":\"3\",\"colors\":\"4\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"5\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"7929\":{\"id\":7929,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"6\",\"colors\":\"7\",\"centers\":\"8\",\"ignoreExtent\":false,\"flags\":32832},\"7930\":{\"id\":7930,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"9\",\"colors\":\"11\",\"centers\":\"12\",\"normals\":\"10\",\"ignoreExtent\":false,\"flags\":32811},\"7931\":{\"id\":7931,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"13\",\"colors\":\"14\",\"centers\":\"15\",\"ignoreExtent\":false,\"flags\":32832},\"7932\":{\"id\":7932,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"16\",\"colors\":\"18\",\"centers\":\"19\",\"normals\":\"17\",\"ignoreExtent\":false,\"flags\":32811},\"7933\":{\"id\":7933,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"20\",\"colors\":\"21\",\"centers\":\"22\",\"ignoreExtent\":false,\"flags\":32832},\"7934\":{\"id\":7934,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"23\",\"colors\":\"25\",\"centers\":\"26\",\"normals\":\"24\",\"ignoreExtent\":false,\"flags\":32811},\"7935\":{\"id\":7935,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"27\",\"colors\":\"28\",\"centers\":\"29\",\"ignoreExtent\":false,\"flags\":32832},\"7936\":{\"id\":7936,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"30\",\"colors\":\"32\",\"centers\":\"33\",\"normals\":\"31\",\"ignoreExtent\":false,\"flags\":32811},\"7937\":{\"id\":7937,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"34\",\"colors\":\"35\",\"centers\":\"36\",\"ignoreExtent\":false,\"flags\":32832},\"7938\":{\"id\":7938,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"37\",\"colors\":\"39\",\"centers\":\"40\",\"normals\":\"38\",\"ignoreExtent\":false,\"flags\":32811},\"7939\":{\"id\":7939,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"41\",\"colors\":\"42\",\"centers\":\"43\",\"ignoreExtent\":false,\"flags\":32832},\"7940\":{\"id\":7940,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"44\",\"colors\":\"46\",\"centers\":\"47\",\"normals\":\"45\",\"ignoreExtent\":false,\"flags\":32811},\"7941\":{\"id\":7941,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"48\",\"colors\":\"49\",\"centers\":\"50\",\"ignoreExtent\":false,\"flags\":32832},\"7942\":{\"id\":7942,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"51\",\"colors\":\"53\",\"centers\":\"54\",\"normals\":\"52\",\"ignoreExtent\":false,\"flags\":32811},\"7943\":{\"id\":7943,\"type\":\"points\",\"material\":{\"lit\":false,\"size\":7},\"vertices\":\"55\",\"colors\":\"56\",\"centers\":\"57\",\"ignoreExtent\":false,\"flags\":34816},\"7944\":{\"id\":7944,\"type\":\"points\",\"material\":{\"lit\":false,\"size\":7},\"vertices\":\"58\",\"colors\":\"59\",\"centers\":\"60\",\"ignoreExtent\":false,\"flags\":34816},\"7945\":{\"id\":7945,\"type\":\"text\",\"material\":{\"lit\":false},\"vertices\":\"61\",\"colors\":\"62\",\"texts\":[[\"(2, 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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# ILP model plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"i\",\"i\"), plotOptimum = TRUE, obj = obj) 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# MILP model plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"c\",\"i\"), plotOptimum = TRUE, obj = obj) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      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gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 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mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        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gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# }"},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope2D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope2D","title":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope2D","text":"Plot polytope (bounded convex set) linear mathematical program","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope2D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope2D","text":"","code":"plotPolytope2D(   A,   b,   obj = NULL,   type = rep(\"c\", ncol(A)),   nonneg = rep(TRUE, ncol(A)),   crit = \"max\",   faces = rep(\"c\", ncol(A)),   plotFaces = TRUE,   plotFeasible = TRUE,   plotOptimum = FALSE,   latex = FALSE,   labels = NULL,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope2D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope2D","text":"constraint matrix. b Right hand side. obj vector objective coefficients. type character vector length number variables. entry k '' variable \\(k\\) must integer 'c' continuous. nonneg boolean vector length number variables. entry k TRUE variable k must non-negative. crit Either max min (used add iso-profit line) faces character vector length number variables. entry k '' variable \\(k\\) must integer 'c' continuous. Useful e.g. want show linear relaxation IP. plotFaces True plot faces. plotFeasible True plot feasible points/segments (relevant ILP/MILP). plotOptimum Show optimum corner solution point (alternative solutions one shown) add iso-profit line. latex True make latex math labels TikZ. labels NULL add labels. 'n' labels show points. equal coord add coordinates points. Otherwise number points one. ... arguments passed ggplot plotting functions. must done lists. Currently following arguments supported: argsFaces: list arguments plotHull2D. argsFeasible: list arguments ggplotl2 functions: geom_point: list arguments ggplot2::geom_point. geom_line: list arguments ggplot2::geom_line. argsLabels: list arguments ggplotl2 functions: geom_text: list arguments ggplot2::geom_text. argsOptimum: geom_point: list arguments ggplot2::geom_point. geom_abline: list arguments ggplot2::geom_abline. geom_label: list arguments ggplot2::geom_label. argsTheme: list arguments ggplot2::theme.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope2D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope2D","text":"ggplot object.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope2D.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope2D","text":"general use plotPolytope() instead function. feasible region defined constraints must bounded otherwise may see strange results.","code":""},{"path":[]},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope2D.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope2D","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope3D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope3D","title":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope3D","text":"Plot polytope (bounded convex set) linear mathematical program","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope3D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope3D","text":"","code":"plotPolytope3D(   A,   b,   obj = NULL,   type = rep(\"c\", ncol(A)),   nonneg = rep(TRUE, ncol(A)),   crit = \"max\",   faces = rep(\"c\", ncol(A)),   plotFaces = TRUE,   plotFeasible = TRUE,   plotOptimum = FALSE,   latex = FALSE,   labels = NULL,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope3D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope3D","text":"constraint matrix. b Right hand side. obj vector objective coefficients. type character vector length number variables. entry k '' variable \\(k\\) must integer 'c' continuous. nonneg boolean vector length number variables. entry k TRUE variable k must non-negative. crit Either max min (used add iso-profit line) faces character vector length number variables. entry k '' variable \\(k\\) must integer 'c' continuous. Useful e.g. want show linear relaxation IP. plotFaces True plot faces. plotFeasible True plot feasible points/segments (relevant ILP/MILP). plotOptimum Show optimum corner solution point (alternative solutions one shown) add iso-profit line. latex True make latex math labels TikZ. labels NULL add labels. 'n' labels show points. equal coord add coordinates points. Otherwise number points one. ... arguments passed RGL plotting functions. must done lists. Currently following arguments supported: argsAxes3d: list arguments rgl::axes3d. argsPlot3d: list arguments rgl::plot3d open RGL window. argsTitle3d: list arguments rgl::title3d. argsFaces: list arguments plotHull3D. argsFeasible: list arguments RGL functions: points3d: list arguments rgl::points3d. segments3d: list arguments rgl::segments3d. triangles3d: list arguments rgl::triangles3d. argsLabels: list arguments RGL functions: points3d: list arguments rgl::points3d. text3d: list arguments rgl::text3d. argsOptimum: list arguments RGL functions: points3d: list arguments rgl::points3d.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope3D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope3D","text":"RGL window 3D plot.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope3D.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope3D","text":"general use plotPolytope() instead function. feasible region defined constraints must bounded otherwise may see strange results.","code":""},{"path":[]},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope3D.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope3D","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotRectangle3D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot a rectangle defined by two corner points. — plotRectangle3D","title":"Plot a rectangle defined by two corner points. — plotRectangle3D","text":"rectangle defined {x|<= x <= b} minimum values b maximum values.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotRectangle3D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot a rectangle defined by two corner points. — plotRectangle3D","text":"","code":"plotRectangle3D(a, b, ...)"},{"path":"http://relund.github.io/gMOIP/reference/plotRectangle3D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot a rectangle defined by two corner points. — plotRectangle3D","text":"vector length 3. b vector length 3. ... arguments passed RGL plotting functions. must done lists (see examples). Currently following arguments supported: argsPlot3d: list arguments rgl::plot3d. argsSegments3d: list arguments rgl::segments3d. argsPolygon3d: list arguments rgl::polygon3d. argsShade3d: list arguments rgl::shade3d.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotRectangle3D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot a rectangle defined by two corner points. — plotRectangle3D","text":"Object ids (invisible).","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotRectangle3D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Plot a rectangle defined by two corner points. — plotRectangle3D","text":"3D plot","code":"# \\donttest{ ini3D() plotRectangle3D(c(0,0,0), c(1,1,1)) plotRectangle3D(c(1,1,1), c(4,4,3), drawPoints = TRUE, drawLines = FALSE,            argsPlot3d = list(size=2, type=\"s\", alpha=0.3)) ids <- plotRectangle3D(c(2,2,2), c(3,3,2.5), argsPolygon3d = list(alpha = 1) ) finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# pop3d(id = ids) remove last object # }"},{"path":"http://relund.github.io/gMOIP/reference/plotTeX3D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot TeX at a position. — plotTeX3D","title":"Plot TeX at a position. — plotTeX3D","text":"Plot TeX position.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotTeX3D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot TeX at a position. — plotTeX3D","text":"","code":"plotTeX3D(   x,   y,   z,   tex,   cex = graphics::par(\"cex\"),   fixedSize = FALSE,   size = 480,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/plotTeX3D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot TeX at a position. — plotTeX3D","text":"x Coordinate. y Coordinate. z Coordinate. tex TeX string. cex Expansion factor (properly fine tune ). fixedSize Fix size object (scaling zoom). size Size generated png. ... Arguments passed rgl::sprites3d() texToPng().","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotTeX3D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot TeX at a position. — plotTeX3D","text":"shape ID displayed object returned.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotTeX3D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Plot TeX at a position. — plotTeX3D","text":"","code":"if (FALSE) { tex0 <- \"$\\\\mathbb{R}_{\\\\geqq}$\" tex1 <- \"\\\\LaTeX\" tex2 <- \"This is a title\" ini3D(argsPlot3d = list(xlim = c(0, 2), ylim = c(0, 2), zlim = c(0, 2))) plotTeX3D(0.75,0.75,0.75, tex0) plotTeX3D(0.5,0.5,0.5, tex0, cex = 2) plotTeX3D(1,1,1, tex2) finalize3D() ini3D(new = TRUE, argsPlot3d = list(xlim = c(0, 200), ylim = c(0, 200), zlim = c(0, 200))) plotTeX3D(75,75,75, tex0) plotTeX3D(50,50,50, tex1) plotTeX3D(100,100,100, tex2) finalize3D() }"},{"path":"http://relund.github.io/gMOIP/reference/plotTitleTeX3D.html","id":null,"dir":"Reference","previous_headings":"","what":"Draw boxes, axes and other text outside the data using TeX strings. — plotTitleTeX3D","title":"Draw boxes, axes and other text outside the data using TeX strings. — plotTitleTeX3D","text":"Draw boxes, axes text outside data using TeX strings.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotTitleTeX3D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Draw boxes, axes and other text outside the data using TeX strings. — plotTitleTeX3D","text":"","code":"plotTitleTeX3D(   main = NULL,   sub = NULL,   xlab = NULL,   ylab = NULL,   zlab = NULL,   line = NA,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/plotTitleTeX3D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Draw boxes, axes and other text outside the data using TeX strings. — plotTitleTeX3D","text":"main main title plot. sub subtitle plot. xlab axis labels plot . ylab axis labels plot . zlab axis labels plot . line ``line'' plot margin draw label . ... Additional parameters passed plotMTeX3D.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotTitleTeX3D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Draw boxes, axes and other text outside the data using TeX strings. — plotTitleTeX3D","text":"object IDs objects added scene.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotTitleTeX3D.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Draw boxes, axes and other text outside the data using TeX strings. — plotTitleTeX3D","text":"rectangular prism holding 3D plot 12 edges.  identified using 3 character strings.  first character (x', y', z') selects direction axis.  next two characters -' +', selecting lower upper end one coordinates.  one two characters given, remaining characters default -'. example edge = 'x+' draws x-axis high level y low level z. default, axes3d uses bbox3d function draw axes. labels move obscure data.  Alternatively, vector arguments described may used, case fixed axes drawn using axis3d. pos numeric vector length 3, edge determines direction axis tick marks, values two coordinates pos determine position.  See examples.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotTitleTeX3D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Draw boxes, axes and other text outside the data using TeX strings. — plotTitleTeX3D","text":"","code":"if (FALSE) { ini3D(argsPlot3d = list(xlim = c(0, 2), ylim = c(0, 2), zlim = c(0, 2))) plotTitleTeX3D(main = \"\\\\LaTeX\", sub = \"subtitle $\\\\alpha$\",                xlab = \"$x^1_2$\", ylab = \"$\\\\beta$\", zlab = \"$x\\\\cdot y$\") finalize3D() }"},{"path":"http://relund.github.io/gMOIP/reference/pngSize.html","id":null,"dir":"Reference","previous_headings":"","what":"To size of the png file. — pngSize","title":"To size of the png file. — pngSize","text":"size png file.","code":""},{"path":"http://relund.github.io/gMOIP/reference/pngSize.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"To size of the png file. — pngSize","text":"","code":"pngSize(png)"},{"path":"http://relund.github.io/gMOIP/reference/pngSize.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"To size of the png file. — pngSize","text":"png Png file name.","code":""},{"path":"http://relund.github.io/gMOIP/reference/pngSize.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"To size of the png file. — pngSize","text":"list width height.","code":""},{"path":"http://relund.github.io/gMOIP/reference/saveView.html","id":null,"dir":"Reference","previous_headings":"","what":"Help function to save the view angle for the RGL 3D plot — saveView","title":"Help function to save the view angle for the RGL 3D plot — saveView","text":"Help function save view angle RGL 3D plot","code":""},{"path":"http://relund.github.io/gMOIP/reference/saveView.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Help function to save the view angle for the RGL 3D plot — saveView","text":"","code":"saveView(fname = \"view.RData\", overwrite = FALSE, print = FALSE)"},{"path":"http://relund.github.io/gMOIP/reference/saveView.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Help function to save the view angle for the RGL 3D plot — saveView","text":"fname file name view. overwrite Overwrite existing file. print Print view can copied R code (file saved).","code":""},{"path":"http://relund.github.io/gMOIP/reference/saveView.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Help function to save the view angle for the RGL 3D plot — saveView","text":"NULL (invisible).","code":""},{"path":"http://relund.github.io/gMOIP/reference/saveView.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Help function to save the view angle for the RGL 3D plot — saveView","text":"save file name exists.","code":""},{"path":"http://relund.github.io/gMOIP/reference/saveView.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Help function to save the view angle for the RGL 3D plot — saveView","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/saveView.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Help function to save the view angle for the RGL 3D plot — saveView","text":"3D plot 3D plot","code":"# \\donttest{ view <- matrix( c(-0.412063330411911, -0.228006735444069, 0.882166087627411, 0, 0.910147845745087, -0.0574885793030262, 0.410274744033813, 0, -0.042830865830183, 0.97196090221405, 0.231208890676498, 0, 0, 0, 0, 1), nc = 4)  loadView(v = view) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}A <- matrix( c(3, 2, 5, 2, 1, 1, 1, 1, 3, 5, 2, 4), nc = 3, byrow = TRUE) b <- c(55, 26, 30, 57) obj <- c(20, 10, 15) plotPolytope(A, b, plotOptimum = TRUE, obj = obj, labels = \"coord\") 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} # Try to modify the angle in the RGL window saveView(print = TRUE)  # get the view angle to insert into R code #> view <- matrix( c(-0.412063330411911, -0.228006735444069, 0.882166087627411, 0, 0.910147845745087, -0.0574885793030262, 0.410274744033813, 0, -0.042830865830183, 0.97196090221405, 0.231208890676498, 0, 0, 0, 0, 1), nc = 4) # }"},{"path":"http://relund.github.io/gMOIP/reference/slices.html","id":null,"dir":"Reference","previous_headings":"","what":"Find all corner points in the slices define for each fixed integer combination. — slices","title":"Find all corner points in the slices define for each fixed integer combination. — slices","text":"Find corner points slices define fixed integer combination.","code":""},{"path":"http://relund.github.io/gMOIP/reference/slices.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Find all corner points in the slices define for each fixed integer combination. — slices","text":"","code":"slices(   A,   b,   type = rep(\"c\", ncol(A)),   nonneg = rep(TRUE, ncol(A)),   collapse = FALSE )"},{"path":"http://relund.github.io/gMOIP/reference/slices.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Find all corner points in the slices define for each fixed integer combination. — slices","text":"constraint matrix. b Right hand side. type character vector length number variables. entry k '' variable \\(k\\) must integer 'c' continuous. nonneg boolean vector length number variables. entry k TRUE variable k must non-negative. collapse Collapse list data frame unique points.","code":""},{"path":"http://relund.github.io/gMOIP/reference/slices.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Find all corner points in the slices define for each fixed integer combination. — slices","text":"list corner points (one entry slice).","code":""},{"path":"http://relund.github.io/gMOIP/reference/slices.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Find all corner points in the slices define for each fixed integer combination. — slices","text":"","code":"A <- matrix( c(3, -2, 1,2, 4, -2,-3, 2, 1), nc = 3, byrow = TRUE) b <- c(10,12,3) slices(A, b, type=c(\"i\",\"c\",\"i\")) #> [[1]] #>      x1  x2 x3 #> [1,]  0 1.5  0 #> [2,]  0 0.0  0 #>  #> [[2]] #>      x1  x2 x3 #> [1,]  1 2.5  0 #> [2,]  1 0.0  0 #>  #> [[3]] #>      x1 x2 x3 #> [1,]  2  2  0 #> [2,]  2  0  0 #>  #> [[4]] #>      x1  x2 x3 #> [1,]  3 1.5  0 #> [2,]  3 0.0  0 #>  #> [[5]] #>      x1 x2 x3 #> [1,]  4  1  0 #> [2,]  4  1  0 #>  #> [[6]] #>                x1 x2 x3 #> [1,] 1.480297e-16  1  1 #> [2,] 0.000000e+00  0  1 #>  #> [[7]] #>      x1  x2 x3 #> [1,]  1 2.5  1 #> [2,]  1 0.0  1 #>  #> [[8]] #>      x1  x2 x3 #> [1,]  2 2.5  1 #> [2,]  2 0.0  1 #>  #> [[9]] #>      x1           x2 x3 #> [1,]  3 4.163336e-16  1 #> [2,]  3 2.000000e+00  1 #> [3,]  3 0.000000e+00  1 #>  #> [[10]] #>      x1  x2 x3 #> [1,]  4 1.5  1 #> [2,]  4 1.5  1 #>  #> [[11]] #>                x1  x2 x3 #> [1,] 7.401487e-17 0.5  2 #> [2,] 0.000000e+00 0.0  2 #>  #> [[12]] #>      x1 x2 x3 #> [1,]  1  2  2 #> [2,]  1  0  2 #>  #> [[13]] #>      x1 x2 x3 #> [1,]  2  3  2 #> [2,]  2  0  2 #>  #> [[14]] #>      x1  x2 x3 #> [1,]  3 0.5  2 #> [2,]  3 2.5  2 #>  #> [[15]] #>      x1 x2 x3 #> [1,]  4  2  2 #> [2,]  4  2  2 #>  #> [[16]] #>      x1 x2 x3 #> [1,]  0  0  3 #>  #> [[17]] #>      x1  x2 x3 #> [1,]  1 1.5  3 #> [2,]  1 0.0  3 #>  #> [[18]] #>      x1 x2 x3 #> [1,]  2  3  3 #> [2,]  2  0  3 #>  #> [[19]] #>      x1 x2 x3 #> [1,]  3  1  3 #> [2,]  3  3  3 #>  #> [[20]] #>      x1  x2 x3 #> [1,]  4 2.5  3 #> [2,]  4 2.5  3 #>  #> [[21]] #>      x1 x2 x3 #> [1,]  1  1  4 #> [2,]  1  0  4 #>  #> [[22]] #>      x1           x2 x3 #> [1,]  2 3.330669e-16  4 #> [2,]  2 2.500000e+00  4 #> [3,]  2 0.000000e+00  4 #>  #> [[23]] #>      x1  x2 x3 #> [1,]  3 1.5  4 #> [2,]  3 3.5  4 #>  #> [[24]] #>      x1 x2 x3 #> [1,]  4  3  4 #>  #> [[25]] #>      x1  x2 x3 #> [1,]  1 0.5  5 #> [2,]  1 0.0  5 #>  #> [[26]] #>      x1  x2 x3 #> [1,]  2 0.5  5 #> [2,]  2 2.0  5 #>  #> [[27]] #>      x1  x2 x3 #> [1,]  3 2.0  5 #> [2,]  3 3.5  5 #>  #> [[28]] #>      x1  x2 x3 #> [1,]  4 3.5  5 #> [2,]  4 3.5  5 #>  #> [[29]] #>      x1 x2 x3 #> [1,]  1  0  6 #>  #> [[30]] #>      x1  x2 x3 #> [1,]  2 1.0  6 #> [2,]  2 1.5  6 #>  #> [[31]] #>      x1  x2 x3 #> [1,]  3 2.5  6 #> [2,]  3 3.0  6 #>  #> [[32]] #>      x1 x2 x3 #> [1,]  4  4  6 #> [2,]  4  4  6 #>   A <- matrix(c(9,10,2,4,-3,2), ncol = 2, byrow = TRUE) b <- c(90,27,3) slices(A, b, type=c(\"c\",\"i\"), collapse = TRUE) #>               x1 x2 #>  [1,] 10.0000000  0 #>  [2,]  0.0000000  0 #>  [3,]  8.8888889  1 #>  [4,]  0.0000000  1 #>  [5,]  7.7777778  2 #>  [6,]  0.3333333  2 #>  [7,]  6.6666667  3 #>  [8,]  1.0000000  3 #>  [9,]  5.5000000  4 #> [10,]  1.6666667  4 #> [11,]  3.5000000  5 #> [12,]  2.3333333  5"},{"path":"http://relund.github.io/gMOIP/reference/texToPng.html","id":null,"dir":"Reference","previous_headings":"","what":"Convert LaTeX to a png file — texToPng","title":"Convert LaTeX to a png file — texToPng","text":"Convert LaTeX png file","code":""},{"path":"http://relund.github.io/gMOIP/reference/texToPng.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Convert LaTeX to a png file — texToPng","text":"","code":"texToPng(   tex,   width = NULL,   height = NULL,   dpi = 72,   viewPng = FALSE,   fontsize = 12,   calcM = FALSE,   crop = FALSE )"},{"path":"http://relund.github.io/gMOIP/reference/texToPng.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Convert LaTeX to a png file — texToPng","text":"tex TeX string. Remember escape backslash \\. width Width png. height Height png (width ignored). dpi Dpi png. used width height specified. viewPng View result plots window. fontsize Front size used LaTeX document. calcM Estimate 1 em pixels resulting png. crop Call command line program pdfcrop (must installed).","code":""},{"path":"http://relund.github.io/gMOIP/reference/texToPng.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Convert LaTeX to a png file — texToPng","text":"filename png list calcM = TRUE.","code":""},{"path":"http://relund.github.io/gMOIP/reference/texToPng.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Convert LaTeX to a png file — texToPng","text":"","code":"if (FALSE) { tex <- \"$\\\\mathbb{R}_{\\\\geqq}$\" texToPng(tex, viewPng = TRUE) texToPng(tex, fontsize = 20, viewPng = TRUE) texToPng(tex, height = 50, fontsize = 10, viewPng = TRUE) texToPng(tex, height = 50, fontsize = 50, viewPng = TRUE) tex <- \"MMM\" texToPng(tex, dpi=72, calcM = TRUE) texToPng(tex, width = 100, calcM = TRUE) f <- texToPng(tex, dpi=300) pngSize(f) }"},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-151","dir":"Changelog","previous_headings":"","what":"gMOIP 1.5.1","title":"gMOIP 1.5.1","text":"Updated filtering algorithm nondominated sets.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-150","dir":"Changelog","previous_headings":"","what":"gMOIP 1.5.0","title":"gMOIP 1.5.0","text":"CRAN release: 2023-05-26 Fix bug concerning degeneration. Added function plotLines2D plotting lines Ax = b.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-149","dir":"Changelog","previous_headings":"","what":"gMOIP 1.4.9","title":"gMOIP 1.4.9","text":"CRAN release: 2023-02-15 Remove tidyverse dependence instead depend packages tidyverse actually used.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-148","dir":"Changelog","previous_headings":"","what":"gMOIP 1.4.8","title":"gMOIP 1.4.8","text":"CRAN release: 2023-01-26 Change rgl.* *3d functions. Fixed bugs due dependent package updates.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-147","dir":"Changelog","previous_headings":"","what":"gMOIP 1.4.7","title":"gMOIP 1.4.7","text":"CRAN release: 2021-08-23 Fixed errors pandoc missing added webshot2.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-146","dir":"Changelog","previous_headings":"","what":"gMOIP 1.4.6","title":"gMOIP 1.4.6","text":"CRAN release: 2021-01-19 Added support plotting rectangles, points, planes, hulls 3D. vignettes added.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-145","dir":"Changelog","previous_headings":"","what":"gMOIP 1.4.5","title":"gMOIP 1.4.5","text":"Added support plotting rectangles, points, planes, hulls 2D.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-144","dir":"Changelog","previous_headings":"","what":"gMOIP 1.4.4","title":"gMOIP 1.4.4","text":"Added support adding non-dominated sets (add/update).","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-143","dir":"Changelog","previous_headings":"","what":"gMOIP 1.4.3","title":"gMOIP 1.4.3","text":"CRAN release: 2020-02-20 Added support rays different directions.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-142","dir":"Changelog","previous_headings":"","what":"gMOIP 1.4.2","title":"gMOIP 1.4.2","text":"Classification nondominated points.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-140","dir":"Changelog","previous_headings":"","what":"gMOIP 1.4.0","title":"gMOIP 1.4.0","text":"Added support plotting rectangles, points, planes, hulls 3D. Nondominated points 3D can now generated.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-130","dir":"Changelog","previous_headings":"","what":"gMOIP 1.3.0","title":"gMOIP 1.3.0","text":"CRAN release: 2019-08-05 Added support 3D plots using RGL. Added high level functions plotting. Can plot criterion space bi-objective models.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-120","dir":"Changelog","previous_headings":"","what":"gMOIP 1.2.0","title":"gMOIP 1.2.0","text":"Added support MILP problems .","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-111","dir":"Changelog","previous_headings":"","what":"gMOIP 1.1.1","title":"gMOIP 1.1.1","text":"Fixed bug cornerPoints.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-110","dir":"Changelog","previous_headings":"","what":"gMOIP 1.1.0","title":"gMOIP 1.1.0","text":"CRAN release: 2017-02-20 Removed dependency lpSolveAPI (seems bit overkill). Now need specify , b coefficient.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-100","dir":"Changelog","previous_headings":"","what":"gMOIP 1.0.0","title":"gMOIP 1.0.0","text":"CRAN release: 2017-01-23 First version package","code":""}]
+[{"path":"http://relund.github.io/gMOIP/articles/bi-objective_2x.html","id":"saving-plots-to-latex","dir":"Articles","previous_headings":"","what":"Saving plots to LaTeX","title":"Plotting bi-objective models with two variables","text":"write paper using LaTeX, may create TikZ file plot LaTeX using","code":"library(tikzDevice) tikz(file = \"plot_polytope.tex\", standAlone=F, width = 7, height = 6) plotPolytope(    A,    b,    obj,    type = rep(\"i\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"n\",    latex = TRUE ) dev.off()"},{"path":"http://relund.github.io/gMOIP/articles/intro.html","id":"installation","dir":"Articles","previous_headings":"","what":"Installation","title":"Introduction to gMOIP","text":"Install latest stable release CRAN: Alternatively, install latest development version GitHub (recommended):","code":"install.packages(\"gMOIP\") install.packages(\"devtools\") devtools::install_github(\"relund/gMOIP\") library(gMOIP)"},{"path":"http://relund.github.io/gMOIP/articles/intro.html","id":"single-criterion-models","dir":"Articles","previous_headings":"","what":"Single criterion models","title":"Introduction to gMOIP","text":"define model \\(\\max\\{cx | Ax \\leq b\\}\\) (also minimized) using matrix vectors b obj: polytope LP model non-negative continuous variables (\\(x \\geq 0\\)):  polytope ILP model LP faces (\\(x\\\\mathbb{Z}_0\\)):  polytope MILP model (first variable integer) LP faces:","code":"A <- matrix(c(-3,2,2,4,9,10), ncol = 2, byrow = TRUE) b <- c(3,27,90) obj <- c(7.75, 10)  # coefficients c plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" ) plotPolytope(    A,    b,    obj,    type = rep(\"i\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" ) plotPolytope(    A,    b,    obj,    type = c(\"i\", \"c\"),    crit = \"max\",    faces = c(\"c\", \"c\"),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" )"},{"path":"http://relund.github.io/gMOIP/articles/intro.html","id":"three-variables","dir":"Articles","previous_headings":"Single criterion models","what":"Three variables","title":"Introduction to gMOIP","text":"can three variables: LP model: ILP model (ILP faces): MILP model (continuous faces):","code":"A <- matrix( c(    3, 2, 5,    2, 1, 1,    1, 1, 3,    5, 2, 4 ), nc = 3, byrow = TRUE) b <- c(55, 26, 30, 57) obj <- c(20, 10, 15) view <- matrix( c(-0.412063330411911, -0.228006735444069, 0.882166087627411, 0, 0.910147845745087,                   -0.0574885793030262, 0.410274744033813, 0, -0.042830865830183, 0.97196090221405,                   0.231208890676498, 0, 0, 0, 0, 1), nc = 4)    loadView(v = view)  # set view angle plotPolytope(A,              b,              obj,              plotOptimum = TRUE,              labels = \"n\") view <- matrix( c(-0.412063330411911, -0.228006735444069, 0.882166087627411, 0, 0.910147845745087,                   -0.0574885793030262, 0.410274744033813, 0, -0.042830865830183, 0.97196090221405,                   0.231208890676498, 0, 0, 0, 0, 1), nc = 4)    loadView(v = view)  # set view angle plotPolytope(A,              b,              obj,               type = c(\"i\", \"i\", \"i\"),               plotOptimum = TRUE,               labels = \"n\") view <- matrix( c(-0.412063330411911, -0.228006735444069, 0.882166087627411, 0, 0.910147845745087,                   -0.0574885793030262, 0.410274744033813, 0, -0.042830865830183, 0.97196090221405,                   0.231208890676498, 0, 0, 0, 0, 1), nc = 4)    loadView(v = view)  # set view angle plotPolytope(A,              b,              obj,               type = c(\"i\", \"i\", \"c\"),               faces = c(\"c\", \"c\", \"c\"),               plotOptimum = TRUE,               # plotFaces = FALSE,              labels = \"n\")"},{"path":"http://relund.github.io/gMOIP/articles/intro.html","id":"bi-objective-models","dir":"Articles","previous_headings":"","what":"Bi-objective models","title":"Introduction to gMOIP","text":"gMOIP can also make plots criterion space bi-objective models (linear programming (LP), integer linear programming (ILP), mixed integer linear programming (MILP)). First let us look bi-objective model two variables. define function grouping plots solution criterion space: Let us define constraints: First let us look LP model (maximize):  Note non-dominated (Pareto) set consists supported extreme non-dominated points (illustrated triangles) line segments . ILP model (maximize):  Note non-dominated set consists points black (shape supported extreme:triangle, supported non-extreme:round, unsupported:round (border)). triangles drawn using extreme non-dominated points illustrate areas unsupported non-dominated points may found. point solution space identified criterion space using number. MILP model (\\(x_2\\) integer) (minimize):  Note solution space now consists segments hence non-dominated set may consist points segments (open closed). Note segments highlighted current version gMOIP.","code":"plotBiObj2D <- function(A, b, obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = FALSE,    labels = \"numb\",    addTriangles = TRUE,    addHull = TRUE) {    p1 <- plotPolytope(A, b, type = type, crit = crit, faces = faces, plotFaces = plotFaces,                       plotFeasible = plotFeasible, plotOptimum = plotOptimum, labels = labels) +        ggplot2::ggtitle(\"Solution space\")    p2 <- plotCriterion2D(A, b, obj, type = type, crit = crit, addTriangles = addTriangles,                          addHull = addHull, plotFeasible = plotFeasible, labels = labels) +       ggplot2::ggtitle(\"Criterion space\")    gridExtra::grid.arrange(p1, p2, nrow = 1)  } A <- matrix(c(-3,2,2,4,9,10), ncol = 2, byrow = TRUE) b <- c(3,27,90) obj <- matrix(    c(7, -10, # first criterion      -10, -10), # second criterion    nrow = 2) plotBiObj2D(A, b, obj, addTriangles = FALSE) obj <- matrix(c(3, -1, -2, 2), nrow = 2) plotBiObj2D(A, b, obj, type = rep(\"i\", ncol(A))) obj <- matrix(c(3, -1, -2, 2), nrow = 2) plotBiObj2D(A, b, obj, type = c(\"c\", \"i\"), crit = \"min\")"},{"path":"http://relund.github.io/gMOIP/articles/intro.html","id":"bi-objective-models-with-three-variables","dir":"Articles","previous_headings":"","what":"Bi-objective models with three variables","title":"Introduction to gMOIP","text":"define functions plotting solution criterion space: Four examples given. plots solution space made interactive illustrate functionality.","code":"plotSol <- function(A, b, type = rep(\"c\", ncol(A)),                         faces = rep(\"c\", ncol(A)),                         plotFaces = TRUE, labels = \"numb\") {    loadView(v = view, close = F, zoom = 0.75)    plotPolytope(A, b, type = type, faces = faces, labels = labels, plotFaces = plotFaces,                  argsTitle3d = list(main = \"Solution space\")) }  plotCrit <- function(A, b, obj, crit = \"min\", type = rep(\"c\", ncol(A)), addTriangles = TRUE,                       labels = \"numb\")  {     plotCriterion2D(A, b, obj, type = type, crit = crit, addTriangles = addTriangles,                     labels = labels) +        ggplot2::ggtitle(\"Criterion space\") }"},{"path":"http://relund.github.io/gMOIP/articles/intro.html","id":"example-1","dir":"Articles","previous_headings":"Bi-objective models with three variables","what":"Example 1","title":"Introduction to gMOIP","text":"define model \\(\\max \\{cx | Ax \\leq b\\}\\) (also minimized) three variables: load preferred view angle RGL window: LP model (solution space): LP model (criterion space):  ILP model (solution space): ILP model (criterion space):","code":"Ab <- matrix( c(    1, 1, 2, 5,    2, -1, 0, 3,    -1, 2, 1, 3,    0, -3, 5, 2 ), nc = 4, byrow = TRUE) A <- Ab[,1:3] b <- Ab[,4] obj <- matrix(c(1, -6, 3, -4, 1, 6), nrow = 2) view <- matrix( c(-0.452365815639496, -0.446501553058624, 0.77201122045517, 0, 0.886364221572876,                   -0.320795893669128, 0.333835482597351, 0, 0.0986008867621422, 0.835299551486969,                   0.540881276130676, 0, 0, 0, 0, 1), nc = 4) loadView(v = view) plotSol(A, b) plotCrit(A, b, obj, addTriangles = FALSE) plotSol(A, b, type = c(\"i\",\"i\",\"i\")) plotCrit(A, b, obj, type = c(\"i\",\"i\",\"i\"))"},{"path":"http://relund.github.io/gMOIP/articles/intro.html","id":"latex-support","dir":"Articles","previous_headings":"","what":"LaTeX support","title":"Introduction to gMOIP","text":"may create TikZ file 2D plots LaTeX using","code":"library(tikzDevice) tikz(file = \"plot_polytope.tex\", standAlone=F, width = 7, height = 6) plotPolytope(    A,    b,    obj,    type = rep(\"i\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" ) dev.off()"},{"path":"http://relund.github.io/gMOIP/articles/intro.html","id":"further-examples","dir":"Articles","previous_headings":"","what":"Further examples","title":"Introduction to gMOIP","text":"examples see documentation, vignettes articles.","code":"library(gMOIP) browseVignettes('gMOIP') example(\"gMOIP-package\")"},{"path":"http://relund.github.io/gMOIP/articles/polytope_2d.html","id":"lp-model","dir":"Articles","previous_headings":"","what":"LP model","title":"Plotting polytopes in 2D","text":"Let us consider different plots polytope LP model non-negative variables (\\(x \\\\mathbb{R}_0, x \\geq 0\\)):  may also consider LP model non-negativity constraints:  Note package don’t plot feasible regions unbounded e.g drop second third constraint get wrong plot:  One solution add bounding box check bounding box binding  may also use e.g lpsolve check solution unbounded.","code":"# The polytope with the corner points p1 <- plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = FALSE,    labels = NULL ) + ggplot2::ggtitle(\"Feasible region only\")  p2 <- plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" ) + ggplot2::ggtitle(\"Solution LP max\")  p3 <- plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"min\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"n\" ) + ggplot2::ggtitle(\"Solution LP min\")  p4 <- plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" ) + ggplot2::xlab(\"x\") + ggplot2::ylab(\"y\") + ggplot2::ggtitle(\"Solution (max) with other axis labels\")  gridExtra::grid.arrange(p1, p2, p3, p4, nrow = 2) A <- matrix(c(-3, 2, 2, 4, 9, 10, 1, -2), ncol = 2, byrow = TRUE) b <- c(3, 27, 90, 2) obj <- c(7.75, 10) plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    nonneg = rep(FALSE, ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = FALSE,    labels = NULL ) A <- matrix(c(-3,2), ncol = 2, byrow = TRUE) b <- c(3) obj <- c(7.75, 10) # Wrong plot plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = FALSE,    labels = NULL ) A <- rbind(A, c(1,0), c(0,1)) b <- c(b, 10, 10) plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = FALSE,    labels = NULL )"},{"path":"http://relund.github.io/gMOIP/articles/polytope_2d.html","id":"ilp-model","dir":"Articles","previous_headings":"","what":"ILP model","title":"Plotting polytopes in 2D","text":"add integer constraints model (\\(x\\\\mathbb{Z}\\)) may view feasible region different ways:","code":"A <- matrix(c(-3,2,2,4,9,10), ncol = 2, byrow = TRUE) b <- c(3,27,90) obj <- c(7.75, 10)  p1 <- plotPolytope(    A,    b,    obj,    type = rep(\"i\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = FALSE,    labels = \"n\" ) + ggplot2::ggtitle(\"Relaxed region with LP faces\")  p2 <- plotPolytope(    A,    b,    obj,    type = rep(\"i\", ncol(A)),    crit = \"max\",    faces = rep(\"i\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = FALSE,    labels = \"n\" ) + ggplot2::ggtitle(\"Relaxed region with IP faces\")  p3 <- plotPolytope(    A,    b,    obj,    type = rep(\"i\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"n\" ) + ggplot2::ggtitle(\"Optimal solution (max)\")  p4 <- plotPolytope(    A,    b,    obj = c(-3, 3),    type = rep(\"i\", ncol(A)),    crit = \"max\",    faces = rep(\"i\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"n\" ) + ggplot2::ggtitle(\"Other objective (min)\")  gridExtra::grid.arrange(p1, p2, p3, p4, nrow = 2)"},{"path":"http://relund.github.io/gMOIP/articles/polytope_2d.html","id":"milp-model","dir":"Articles","previous_headings":"","what":"MILP model","title":"Plotting polytopes in 2D","text":"Finally, let us look MILP model:","code":"A <- matrix(c(-3,2,2,4,9,10), ncol = 2, byrow = TRUE) b <- c(3,27,90) obj <- c(7.75, 10)  p1 <- plotPolytope(    A,    b,    obj,    type = c(\"c\", \"i\"),    crit = \"max\",    faces = c(\"c\", \"c\"),    plotFaces =  TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"n\" ) + ggplot2::ggtitle(\"Second coordinate integer (LP faces)\")  p2 <- plotPolytope(    A,    b,    obj,    type = c(\"c\", \"i\"),    crit = \"max\",    faces = c(\"c\", \"i\"),    plotFaces =  TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" ) + ggplot2::ggtitle(\"Second coordinate integer (MILP faces)\")  p3 <- plotPolytope(    A,    b,    obj,    type = c(\"i\", \"c\"),    crit = \"max\",    faces = c(\"c\", \"c\"),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"n\" ) + ggplot2::ggtitle(\"First coordinate integer (LP faces)\")  p4 <- plotPolytope(    A,    b,    obj,    type = c(\"i\", \"c\"),    crit = \"max\",    faces = c(\"i\", \"c\"),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" ) + ggplot2::ggtitle(\"First coordinate integer (MILP faces)\")  gridExtra::grid.arrange(p1, p2, p3, p4, nrow = 2)"},{"path":"http://relund.github.io/gMOIP/articles/polytope_2d.html","id":"saving-plots-to-latex","dir":"Articles","previous_headings":"","what":"Saving plots to LaTeX","title":"Plotting polytopes in 2D","text":"write paper using LaTeX, may create TikZ file plot LaTeX using","code":"library(tikzDevice) tikz(file = \"plot_polytope.tex\", standAlone=F, width = 7, height = 6) plotPolytope(    A,    b,    obj,    type = rep(\"i\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"n\",    latex = TRUE ) dev.off()"},{"path":"http://relund.github.io/gMOIP/articles/tri-objective.html","id":"classifying","dir":"Articles","previous_headings":"","what":"Classifying","title":"Plotting tri-objective models","text":"Non-dominated points can classified using classifyNDSet:   classification done using qhull algorithm find convex hull points including rays. vertex must supported extreme. Next use inHull algorithm find remaining border (supported non-extreme unsupported).","code":"pts <- matrix(c(0,0,1, 0,1,0, 1,0,0, 0.5,0.2,0.5, 0.25,0.5,0.25), ncol = 3, byrow = TRUE) open3d() #> null  #>    6 ini3D(argsPlot3d = list(xlim = c(min(pts[,1])-2,max(pts[,1])+2),   ylim = c(min(pts[,2])-2,max(pts[,2])+2),   zlim = c(min(pts[,3])-2,max(pts[,3])+2))) plotHull3D(pts, addRays = TRUE, argsPolygon3d = list(alpha = 0.5), useRGLBBox = TRUE) pts <- classifyNDSet(pts[,1:3]) pts #>     z1  z2   z3    se   sne    us cls #> 1 0.00 0.0 1.00  TRUE FALSE FALSE  se #> 2 0.00 1.0 0.00  TRUE FALSE FALSE  se #> 3 1.00 0.0 0.00  TRUE FALSE FALSE  se #> 4 0.50 0.2 0.50 FALSE FALSE  TRUE  us #> 5 0.25 0.5 0.25 FALSE  TRUE FALSE sne plotPoints3D(pts[pts$se,1:3], argsPlot3d = list(col = \"red\")) plotPoints3D(pts[!pts$sne,1:3], argsPlot3d = list(col = \"black\")) plotPoints3D(pts[!pts$us,1:3], argsPlot3d = list(col = \"blue\")) plotCones3D(pts[,1:3], rectangle = TRUE, argsPolygon3d = list(alpha = 1)) finalize3D() rglwidget(reuse = F) pts <- genNDSet(3,20, dubND = FALSE)[,1:3] open3d() #> null  #>    9 ini3D(argsPlot3d = list(xlim = c(0,max(pts$z1)+2),   ylim = c(0,max(pts$z2)+2),   zlim = c(0,max(pts$z3)+2))) plotHull3D(pts, addRays = TRUE, argsPolygon3d = list(alpha = 0.5)) pts <- classifyNDSet(pts[,1:3]) pts #>    z1 z2 z3    se   sne    us cls #> 1   3 62 45  TRUE FALSE FALSE  se #> 2  76 40  9 FALSE FALSE  TRUE  us #> 3  23 45 10  TRUE FALSE FALSE  se #> 4  29 66  9 FALSE FALSE  TRUE  us #> 5  22 11 60  TRUE FALSE FALSE  se #> 6  46 12 20  TRUE FALSE FALSE  se #> 7  49  2 39  TRUE FALSE FALSE  se #> 8   9 27 64  TRUE FALSE FALSE  se #> 9  32 10 29  TRUE FALSE FALSE  se #> 10  8 39 29  TRUE FALSE FALSE  se #> 11 37  5 36  TRUE FALSE FALSE  se #> 12 45  2 61  TRUE FALSE FALSE  se #> 13 19 30 18  TRUE FALSE FALSE  se #> 14 30  7 38  TRUE FALSE FALSE  se #> 15 11 33 26  TRUE FALSE FALSE  se #> 16 46  2 43  TRUE FALSE FALSE  se #> 17 12 21 39  TRUE FALSE FALSE  se #> 18 45 21 11  TRUE FALSE FALSE  se #> 19 21 26 20  TRUE FALSE FALSE  se #> 20 31 43  5  TRUE FALSE FALSE  se plotPoints3D(pts[pts$se,1:3], argsPlot3d = list(col = \"red\")) plotPoints3D(pts[!pts$sne,1:3], argsPlot3d = list(col = \"black\")) plotPoints3D(pts[!pts$us,1:3], argsPlot3d = list(col = \"blue\")) finalize3D() rglwidget(reuse = F)"},{"path":"http://relund.github.io/gMOIP/authors.html","id":null,"dir":"","previous_headings":"","what":"Authors","title":"Authors and Citation","text":"Lars Relund Nielsen. Author, maintainer.","code":""},{"path":"http://relund.github.io/gMOIP/authors.html","id":"citation","dir":"","previous_headings":"","what":"Citation","title":"Authors and Citation","text":"Relund Nielsen L (2024). gMOIP: Tools 2D 3D Plots Single Multi-Objective Linear/Integer Programming Models. R package version 1.5.1, https://github.com/relund/gMOIP/, https://relund.github.io/gMOIP/.","code":"@Manual{,   title = {gMOIP: Tools for 2D and 3D Plots of Single and Multi-Objective Linear/Integer Programming Models},   author = {Lars {Relund Nielsen}},   year = {2024},   note = {R package version 1.5.1, https://github.com/relund/gMOIP/},   url = {https://relund.github.io/gMOIP/}, }"},{"path":"http://relund.github.io/gMOIP/index.html","id":"tools-for-2d-and-3d-plots-of-single-and-multi-objective-linearinteger-programming-models","dir":"","previous_headings":"","what":"Tools for 2D and 3D Plots of Single and Multi-Objective Linear/Integer Programming Models","title":"Tools for 2D and 3D Plots of Single and Multi-Objective Linear/Integer Programming Models","text":"gMOIP package can used make 2D 3D plots linear programming (LP), integer linear programming (ILP), mixed integer linear programming (MILP) models three objectives. include polytope, integer points, ranges iso profit curve. Plots solution criterion space possible. instance non-dominated (Pareto) set bi-objective LP/ILP/MILP programming models. package also include inHull function checking set points inside//outside convex hull set vertices (arbitrary dimension). Finally, package also contains functions generating (non-dominated) points ℝn classifying non-dominated points supported extreme, supported non-extreme unsupported.","code":""},{"path":"http://relund.github.io/gMOIP/index.html","id":"usage","dir":"","previous_headings":"","what":"Usage","title":"Tools for 2D and 3D Plots of Single and Multi-Objective Linear/Integer Programming Models","text":"Consider model max {cx|Ax ≤ b} (also minimized) 2 variables: polytope LP model non-negative continuous variables (x ≥ 0):  polytope ILP model LP faces (x ∈ ℤ0):  polytope MILP model (first variable integer) LP faces:  can three variables: Note: interactive 3d plots displayed GitHub README file, static images animated gifs used instead. Visit pkgdown online documentation view plots can manipulated browser. examples see example(\"gMOIP-package\") browseVignettes('gMOIP').","code":"A <- matrix(c(-3,2,2,4,9,10), ncol = 2, byrow = TRUE) b <- c(3,27,90) coeff <- c(7.75, 10)  # coefficients c plotPolytope(    A,    b,    coeff,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" ) plotPolytope(    A,    b,    coeff,    type = rep(\"i\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" ) plotPolytope(    A,    b,    coeff,    type = c(\"i\", \"c\"),    crit = \"max\",    faces = c(\"c\", \"c\"),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" ) A <- matrix( c(    3, 2, 5,    2, 1, 1,    1, 1, 3,    5, 2, 4 ), nc = 3, byrow = TRUE) b <- c(55, 26, 30, 57) coeff <- c(20, 10, 15) # LP model view <- matrix( c(-0.412063330411911, -0.228006735444069, 0.882166087627411, 0, 0.910147845745087,                   -0.0574885793030262, 0.410274744033813, 0, -0.042830865830183, 0.97196090221405,                   0.231208890676498, 0, 0, 0, 0, 1), nc = 4)    loadView(v = view)  # set view angle plotPolytope(A, b, plotOptimum = TRUE, obj = coeff, labels = \"n\")"},{"path":"http://relund.github.io/gMOIP/index.html","id":"latex-support","dir":"","previous_headings":"","what":"LaTeX support","title":"Tools for 2D and 3D Plots of Single and Multi-Objective Linear/Integer Programming Models","text":"may create TikZ file plot LaTeX using","code":"library(tikzDevice) tikz(file = \"plot_polytope.tex\", standAlone=F, width = 7, height = 6) plotPolytope(    A,    b,    coeff,    type = rep(\"i\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" ) dev.off()"},{"path":"http://relund.github.io/gMOIP/index.html","id":"installation","dir":"","previous_headings":"","what":"Installation","title":"Tools for 2D and 3D Plots of Single and Multi-Objective Linear/Integer Programming Models","text":"Install latest stable release CRAN: Alternatively, install latest development version GitHub (recommended): package highly dependent rgl package plotting 3D graphics. build rgl include OpenGL functions, use rgl::rglwidget() display results, e.g. via options(rgl.printRglwidget = TRUE).","code":"install.packages(\"gMOIP\") install.packages(\"remotes\") remotes::install_github(\"relund/gMOIP\")  library(gMOIP) browseVignettes('gMOIP') example(\"gMOIP-package\")"},{"path":"http://relund.github.io/gMOIP/reference/addNDSet.html","id":null,"dir":"Reference","previous_headings":"","what":"Add discrete points to a non-dominated set and classify them into extreme supported, non-extreme\nsupported, non-supported. — addNDSet","title":"Add discrete points to a non-dominated set and classify them into extreme supported, non-extreme\nsupported, non-supported. — addNDSet","text":"Add discrete points non-dominated set classify extreme supported, non-extreme supported, non-supported.","code":""},{"path":"http://relund.github.io/gMOIP/reference/addNDSet.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Add discrete points to a non-dominated set and classify them into extreme supported, non-extreme\nsupported, non-supported. — addNDSet","text":"","code":"addNDSet(   pts,   nDSet = NULL,   crit = \"max\",   keepDom = FALSE,   dubND = FALSE,   classify = TRUE )"},{"path":"http://relund.github.io/gMOIP/reference/addNDSet.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Add discrete points to a non-dominated set and classify them into extreme supported, non-extreme\nsupported, non-supported. — addNDSet","text":"pts data frame points add (column objective). nDSet data frame current non-dominated set (NULL none yet). Column names p objectives must z1, ..., zp. crit max min vector. length one assume objectives optimized direction. keepDom Keep dominated points output. dubND Duplicated non-dominated points classified non-dominated. classify Non-dominated points classified supported extreme (se), supported non-extreme (sne) unsupported (us).","code":""},{"path":"http://relund.github.io/gMOIP/reference/addNDSet.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Add discrete points to a non-dominated set and classify them into extreme supported, non-extreme\nsupported, non-supported. — addNDSet","text":"data frame column objective (z columns) nd (non-dominated). Moreover classify columns se, sne, us cls.","code":""},{"path":"http://relund.github.io/gMOIP/reference/addNDSet.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Add discrete points to a non-dominated set and classify them into extreme supported, non-extreme\nsupported, non-supported. — addNDSet","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/addNDSet.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Add discrete points to a non-dominated set and classify them into extreme supported, non-extreme\nsupported, non-supported. — addNDSet","text":"3D plot","code":"nDSet <- data.frame(z1=c(12,14,16,18), z2=c(18,16,12,4)) pts <- data.frame(z1 = c(18,18,14,15,15), z2=c(2,6,14,14,16)) addNDSet(pts, nDSet, crit = \"max\") #>   z1 z2   nd    se   sne    us cls #> 1 12 18 TRUE  TRUE FALSE FALSE  se #> 2 16 12 TRUE FALSE FALSE  TRUE  us #> 3 18  6 TRUE  TRUE FALSE FALSE  se #> 4 15 16 TRUE  TRUE FALSE FALSE  se addNDSet(pts, nDSet, crit = \"max\", keepDom = TRUE) #>   z1 z2    nd    se   sne    us cls #> 1 12 18  TRUE  TRUE FALSE FALSE  se #> 2 14 16 FALSE FALSE FALSE  TRUE   d #> 3 16 12  TRUE FALSE FALSE  TRUE  us #> 4 18  4 FALSE FALSE FALSE  TRUE   d #> 5 18  2 FALSE FALSE FALSE  TRUE   d #> 6 18  6  TRUE  TRUE FALSE FALSE  se #> 7 14 14 FALSE FALSE FALSE  TRUE   d #> 8 15 14 FALSE FALSE FALSE  TRUE   d #> 9 15 16  TRUE  TRUE FALSE FALSE  se addNDSet(pts, nDSet, crit = \"min\") #>   z1 z2   nd    se   sne    us cls #> 1 12 18 TRUE  TRUE FALSE FALSE  se #> 2 16 12 TRUE FALSE FALSE  TRUE  us #> 3 18  2 TRUE  TRUE FALSE FALSE  se #> 4 14 14 TRUE FALSE FALSE  TRUE  us addNDSet(c(2,2), nDSet, crit = \"max\") #>   z1 z2   nd   se   sne    us cls #> 1 12 18 TRUE TRUE FALSE FALSE  se #> 2 14 16 TRUE TRUE FALSE FALSE  se #> 3 16 12 TRUE TRUE FALSE FALSE  se #> 4 18  4 TRUE TRUE FALSE FALSE  se addNDSet(c(2,2), nDSet, crit = \"min\") #>   z1 z2   nd   se   sne    us cls #> 1  2  2 TRUE TRUE FALSE FALSE  se  # \\donttest{ nDSet <- data.frame(z1=c(12,14,16,18), z2=c(18,16,12,4), z3 = c(1,7,0,6)) pts <- data.frame(z1=c(12,14,16,18), z2=c(18,16,12,4), z3 = c(2,2,2,6)) crit = c(\"min\", \"min\", \"max\") di <- c(1,1,-1) li <- c(-1,20) ini3D(argsPlot3d = list(xlim = li, ylim = li, zlim = li)) plotCones3D(nDSet, direction = di, argsPolygon3d = list(color = \"green\", alpha = 1),             drawPoint = FALSE) plotHull3D(nDSet, addRays = TRUE, direction = di) plotPoints3D(nDSet, argsPlot3d = list(col = \"red\"), addText = \"coord\") plotPoints3D(pts, addText = \"coord\") finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}addNDSet(pts, nDSet, crit, dubND = FALSE) #>   z1 z2 z3   nd    se   sne    us cls #> 1 14 16  7 TRUE  TRUE FALSE FALSE  se #> 2 12 18  2 TRUE  TRUE FALSE FALSE  se #> 3 16 12  2 TRUE FALSE FALSE  TRUE  us #> 4 18  4  6 TRUE  TRUE FALSE FALSE  se addNDSet(pts, nDSet, crit, dubND = TRUE) #>   z1 z2 z3   nd    se   sne    us cls #> 1 14 16  7 TRUE  TRUE FALSE FALSE  se #> 2 18  4  6 TRUE  TRUE FALSE FALSE  se #> 3 12 18  2 TRUE  TRUE FALSE FALSE  se #> 4 16 12  2 TRUE FALSE FALSE  TRUE  us #> 5 18  4  6 TRUE  TRUE FALSE FALSE  se addNDSet(pts, nDSet, crit, dubND = TRUE, keepDom = TRUE) #>   z1 z2 z3    nd    se   sne    us cls #> 1 12 18  1 FALSE FALSE FALSE  TRUE   d #> 2 14 16  7  TRUE  TRUE FALSE FALSE  se #> 3 16 12  0 FALSE FALSE FALSE  TRUE   d #> 4 18  4  6  TRUE  TRUE FALSE FALSE  se #> 5 12 18  2  TRUE  TRUE FALSE FALSE  se #> 6 14 16  2 FALSE FALSE FALSE  TRUE   d #> 7 16 12  2  TRUE FALSE FALSE  TRUE  us #> 8 18  4  6  TRUE  TRUE FALSE FALSE  se addNDSet(pts, nDSet, crit, dubND = TRUE, keepDom = TRUE, classify = FALSE) #>   z1 z2 z3    nd #> 1 12 18  1 FALSE #> 2 14 16  7  TRUE #> 3 16 12  0 FALSE #> 4 18  4  6  TRUE #> 5 12 18  2  TRUE #> 6 14 16  2 FALSE #> 7 16 12  2  TRUE #> 8 18  4  6  TRUE # }"},{"path":"http://relund.github.io/gMOIP/reference/addNDSet2D.html","id":null,"dir":"Reference","previous_headings":"","what":"Add 2D discrete points to a non-dominated set and classify them into extreme\nsupported, non-extreme supported, non-supported. — addNDSet2D","title":"Add 2D discrete points to a non-dominated set and classify them into extreme\nsupported, non-extreme supported, non-supported. — addNDSet2D","text":"Add 2D discrete points non-dominated set classify extreme supported, non-extreme supported, non-supported.","code":""},{"path":"http://relund.github.io/gMOIP/reference/addNDSet2D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Add 2D discrete points to a non-dominated set and classify them into extreme\nsupported, non-extreme supported, non-supported. — addNDSet2D","text":"","code":"addNDSet2D(pts, nDSet = NULL, crit = \"max\", keepDom = FALSE)"},{"path":"http://relund.github.io/gMOIP/reference/addNDSet2D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Add 2D discrete points to a non-dominated set and classify them into extreme\nsupported, non-extreme supported, non-supported. — addNDSet2D","text":"pts data frame. assumed z1 z2 two first columns. nDSet data frame current non-dominated set (NULL none yet). crit Either max min. keepDom Keep dominated points.","code":""},{"path":"http://relund.github.io/gMOIP/reference/addNDSet2D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Add 2D discrete points to a non-dominated set and classify them into extreme\nsupported, non-extreme supported, non-supported. — addNDSet2D","text":"data frame columns z1 z2, nD (non-dominated), ext (extreme), nonExt (non-extreme supported).","code":""},{"path":"http://relund.github.io/gMOIP/reference/addNDSet2D.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Add 2D discrete points to a non-dominated set and classify them into extreme\nsupported, non-extreme supported, non-supported. — addNDSet2D","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/addNDSet2D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Add 2D discrete points to a non-dominated set and classify them into extreme\nsupported, non-extreme supported, non-supported. — addNDSet2D","text":"","code":"nDSet <- data.frame(z1=c(12,14,16,18), z2=c(18,16,12,4)) pts <- data.frame(z1 = c(18,18,14,15,15), z2=c(2,6,14,14,16)) addNDSet2D(pts, nDSet, crit = \"max\") #>   z1 z2   nD   ext nonExt #> 6 12 18 TRUE  TRUE  FALSE #> 5 15 16 TRUE  TRUE  FALSE #> 8 16 12 TRUE FALSE  FALSE #> 2 18  6 TRUE  TRUE  FALSE addNDSet2D(pts, nDSet, crit = \"max\", keepDom = TRUE) #>   z1 z2    nD   ext nonExt #> 6 12 18  TRUE  TRUE  FALSE #> 5 15 16  TRUE  TRUE  FALSE #> 7 14 16 FALSE FALSE  FALSE #> 4 15 14 FALSE FALSE  FALSE #> 3 14 14 FALSE FALSE  FALSE #> 8 16 12  TRUE FALSE  FALSE #> 2 18  6  TRUE  TRUE  FALSE #> 9 18  4 FALSE FALSE  FALSE #> 1 18  2 FALSE FALSE  FALSE addNDSet2D(pts, nDSet, crit = \"min\") #>   z1 z2   nD   ext nonExt #> 1 18  2 TRUE  TRUE  FALSE #> 8 16 12 TRUE FALSE  FALSE #> 3 14 14 TRUE FALSE  FALSE #> 6 12 18 TRUE  TRUE  FALSE"},{"path":"http://relund.github.io/gMOIP/reference/addRays.html","id":null,"dir":"Reference","previous_headings":"","what":"Add all points on the bounding box hit by the rays. — addRays","title":"Add all points on the bounding box hit by the rays. — addRays","text":"Add points bounding box hit rays.","code":""},{"path":"http://relund.github.io/gMOIP/reference/addRays.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Add all points on the bounding box hit by the rays. — addRays","text":"","code":"addRays(   pts,   m = apply(pts, 2, min) - 5,   M = apply(pts, 2, max) + 5,   direction = 1 )"},{"path":"http://relund.github.io/gMOIP/reference/addRays.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Add all points on the bounding box hit by the rays. — addRays","text":"pts data frame points m Minimum values bounding box. M Maximum values bounding box. direction Ray direction. 'th entry positive, consider 'th column pts plus value greater equal zero. negative, consider 'th column pts minus value greater equal zero.","code":""},{"path":"http://relund.github.io/gMOIP/reference/addRays.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Add all points on the bounding box hit by the rays. — addRays","text":"points merged points bounding box. column pt equals 1 points pts zero otherwise.","code":""},{"path":"http://relund.github.io/gMOIP/reference/addRays.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Add all points on the bounding box hit by the rays. — addRays","text":"Assume pts checked using .checkPts().","code":""},{"path":"http://relund.github.io/gMOIP/reference/addRays.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Add all points on the bounding box hit by the rays. — addRays","text":"","code":"pts <- genNDSet(3,10)[,1:3] addRays(pts) #>    z1 z2 z3 pt #> 1  56  1 47  1 #> 2  16 18 64  1 #> 3   6 71 45  1 #> 4  30  8 66  1 #> 5  54 41  2  1 #> 6  53 47  1  1 #> 7  55  6 29  1 #> 8  31  8 34  1 #> 9   2 55 57  1 #> 10  7 72 43  1 #> 12 61  1 47  0 #> 13 56 77 47  0 #> 14 61 77 47  0 #> 15 56  1 71  0 #> 16 61  1 71  0 #> 17 56 77 71  0 #> 18 61 77 71  0 #> 20 61 18 64  0 #> 21 16 77 64  0 #> 22 61 77 64  0 #> 23 16 18 71  0 #> 24 61 18 71  0 #> 25 16 77 71  0 #> 28 61 71 45  0 #> 29  6 77 45  0 #> 30 61 77 45  0 #> 31  6 71 71  0 #> 32 61 71 71  0 #> 33  6 77 71  0 #> 36 61  8 66  0 #> 37 30 77 66  0 #> 38 61 77 66  0 #> 39 30  8 71  0 #> 40 61  8 71  0 #> 41 30 77 71  0 #> 44 61 41  2  0 #> 45 54 77  2  0 #> 46 61 77  2  0 #> 47 54 41 71  0 #> 48 61 41 71  0 #> 49 54 77 71  0 #> 52 61 47  1  0 #> 53 53 77  1  0 #> 54 61 77  1  0 #> 55 53 47 71  0 #> 56 61 47 71  0 #> 57 53 77 71  0 #> 60 61  6 29  0 #> 61 55 77 29  0 #> 62 61 77 29  0 #> 63 55  6 71  0 #> 64 61  6 71  0 #> 65 55 77 71  0 #> 68 61  8 34  0 #> 69 31 77 34  0 #> 70 61 77 34  0 #> 71 31  8 71  0 #> 73 31 77 71  0 #> 76 61 55 57  0 #> 77  2 77 57  0 #> 78 61 77 57  0 #> 79  2 55 71  0 #> 80 61 55 71  0 #> 81  2 77 71  0 #> 84 61 72 43  0 #> 85  7 77 43  0 #> 86 61 77 43  0 #> 87  7 72 71  0 #> 88 61 72 71  0 #> 89  7 77 71  0 addRays(pts, dir = c(1,-1,1)) #>    z1 z2 z3 pt #> 1  56  1 47  1 #> 2  16 18 64  1 #> 3   6 71 45  1 #> 4  30  8 66  1 #> 5  54 41  2  1 #> 6  53 47  1  1 #> 7  55  6 29  1 #> 8  31  8 34  1 #> 9   2 55 57  1 #> 10  7 72 43  1 #> 12 61  1 47  0 #> 13 56 -4 47  0 #> 14 61 -4 47  0 #> 15 56  1 71  0 #> 16 61  1 71  0 #> 17 56 -4 71  0 #> 18 61 -4 71  0 #> 20 61 18 64  0 #> 21 16 -4 64  0 #> 22 61 -4 64  0 #> 23 16 18 71  0 #> 24 61 18 71  0 #> 25 16 -4 71  0 #> 28 61 71 45  0 #> 29  6 -4 45  0 #> 30 61 -4 45  0 #> 31  6 71 71  0 #> 32 61 71 71  0 #> 33  6 -4 71  0 #> 36 61  8 66  0 #> 37 30 -4 66  0 #> 38 61 -4 66  0 #> 39 30  8 71  0 #> 40 61  8 71  0 #> 41 30 -4 71  0 #> 44 61 41  2  0 #> 45 54 -4  2  0 #> 46 61 -4  2  0 #> 47 54 41 71  0 #> 48 61 41 71  0 #> 49 54 -4 71  0 #> 52 61 47  1  0 #> 53 53 -4  1  0 #> 54 61 -4  1  0 #> 55 53 47 71  0 #> 56 61 47 71  0 #> 57 53 -4 71  0 #> 60 61  6 29  0 #> 61 55 -4 29  0 #> 62 61 -4 29  0 #> 63 55  6 71  0 #> 64 61  6 71  0 #> 65 55 -4 71  0 #> 68 61  8 34  0 #> 69 31 -4 34  0 #> 70 61 -4 34  0 #> 71 31  8 71  0 #> 73 31 -4 71  0 #> 76 61 55 57  0 #> 77  2 -4 57  0 #> 78 61 -4 57  0 #> 79  2 55 71  0 #> 80 61 55 71  0 #> 81  2 -4 71  0 #> 84 61 72 43  0 #> 85  7 -4 43  0 #> 86 61 -4 43  0 #> 87  7 72 71  0 #> 88 61 72 71  0 #> 89  7 -4 71  0 addRays(pts, dir = c(-1,-1,1), m = c(0,0,0), M = c(100,100,100)) #>    z1 z2  z3 pt #> 1  56  1  47  1 #> 2  16 18  64  1 #> 3   6 71  45  1 #> 4  30  8  66  1 #> 5  54 41   2  1 #> 6  53 47   1  1 #> 7  55  6  29  1 #> 8  31  8  34  1 #> 9   2 55  57  1 #> 10  7 72  43  1 #> 12  0  1  47  0 #> 13 56  0  47  0 #> 14  0  0  47  0 #> 15 56  1 100  0 #> 16  0  1 100  0 #> 17 56  0 100  0 #> 18  0  0 100  0 #> 20  0 18  64  0 #> 21 16  0  64  0 #> 22  0  0  64  0 #> 23 16 18 100  0 #> 24  0 18 100  0 #> 25 16  0 100  0 #> 28  0 71  45  0 #> 29  6  0  45  0 #> 30  0  0  45  0 #> 31  6 71 100  0 #> 32  0 71 100  0 #> 33  6  0 100  0 #> 36  0  8  66  0 #> 37 30  0  66  0 #> 38  0  0  66  0 #> 39 30  8 100  0 #> 40  0  8 100  0 #> 41 30  0 100  0 #> 44  0 41   2  0 #> 45 54  0   2  0 #> 46  0  0   2  0 #> 47 54 41 100  0 #> 48  0 41 100  0 #> 49 54  0 100  0 #> 52  0 47   1  0 #> 53 53  0   1  0 #> 54  0  0   1  0 #> 55 53 47 100  0 #> 56  0 47 100  0 #> 57 53  0 100  0 #> 60  0  6  29  0 #> 61 55  0  29  0 #> 62  0  0  29  0 #> 63 55  6 100  0 #> 64  0  6 100  0 #> 65 55  0 100  0 #> 68  0  8  34  0 #> 69 31  0  34  0 #> 70  0  0  34  0 #> 71 31  8 100  0 #> 73 31  0 100  0 #> 76  0 55  57  0 #> 77  2  0  57  0 #> 78  0  0  57  0 #> 79  2 55 100  0 #> 80  0 55 100  0 #> 81  2  0 100  0 #> 84  0 72  43  0 #> 85  7  0  43  0 #> 86  0  0  43  0 #> 87  7 72 100  0 #> 88  0 72 100  0 #> 89  7  0 100  0 pts <- genSample(5,20)[,1:5] addRays(pts) #>     z1 z2 z3 z4 z5 pt #> 1   20 55 52 84 32  1 #> 2   52 51 63  7 69  1 #> 3   69  8 38 60 46  1 #> 4   72 13 65 33 44  1 #> 5   22 38 87 39 50  1 #> 6   22 83 26 49 50  1 #> 7   69 25 61 20 31  1 #> 8    6 38 40 64 46  1 #> 9   79 25 55 66 24  1 #> 10  68 45 74 36 14  1 #> 11  26 79 36 47 22  1 #> 12  58 12 72 34 38  1 #> 13  47 19 64 52 15  1 #> 14  39  4 63 53 56  1 #> 15  57 44 49 84 15  1 #> 16  58 12 60 53 22  1 #> 17  47 12 54 22 61  1 #> 18  32 21 69 35 25  1 #> 19  33 91 51 41 31  1 #> 20  76 27 62 60 19  1 #> 22  84 55 52 84 32  0 #> 23  20 96 52 84 32  0 #> 24  84 96 52 84 32  0 #> 25  20 55 92 84 32  0 #> 26  84 55 92 84 32  0 #> 27  20 96 92 84 32  0 #> 28  84 96 92 84 32  0 #> 29  20 55 52 89 32  0 #> 30  84 55 52 89 32  0 #> 31  20 96 52 89 32  0 #> 32  84 96 52 89 32  0 #> 33  20 55 92 89 32  0 #> 34  84 55 92 89 32  0 #> 35  20 96 92 89 32  0 #> 36  84 96 92 89 32  0 #> 37  20 55 52 84 74  0 #> 38  84 55 52 84 74  0 #> 39  20 96 52 84 74  0 #> 40  84 96 52 84 74  0 #> 41  20 55 92 84 74  0 #> 42  84 55 92 84 74  0 #> 43  20 96 92 84 74  0 #> 44  84 96 92 84 74  0 #> 45  20 55 52 89 74  0 #> 46  84 55 52 89 74  0 #> 47  20 96 52 89 74  0 #> 48  84 96 52 89 74  0 #> 49  20 55 92 89 74  0 #> 50  84 55 92 89 74  0 #> 51  20 96 92 89 74  0 #> 52  84 96 92 89 74  0 #> 54  84 51 63  7 69  0 #> 55  52 96 63  7 69  0 #> 56  84 96 63  7 69  0 #> 57  52 51 92  7 69  0 #> 58  84 51 92  7 69  0 #> 59  52 96 92  7 69  0 #> 60  84 96 92  7 69  0 #> 61  52 51 63 89 69  0 #> 62  84 51 63 89 69  0 #> 63  52 96 63 89 69  0 #> 64  84 96 63 89 69  0 #> 65  52 51 92 89 69  0 #> 66  84 51 92 89 69  0 #> 67  52 96 92 89 69  0 #> 68  84 96 92 89 69  0 #> 69  52 51 63  7 74  0 #> 70  84 51 63  7 74  0 #> 71  52 96 63  7 74  0 #> 72  84 96 63  7 74  0 #> 73  52 51 92  7 74  0 #> 74  84 51 92  7 74  0 #> 75  52 96 92  7 74  0 #> 76  84 96 92  7 74  0 #> 77  52 51 63 89 74  0 #> 78  84 51 63 89 74  0 #> 79  52 96 63 89 74  0 #> 80  84 96 63 89 74  0 #> 81  52 51 92 89 74  0 #> 82  84 51 92 89 74  0 #> 83  52 96 92 89 74  0 #> 86  84  8 38 60 46  0 #> 87  69 96 38 60 46  0 #> 88  84 96 38 60 46  0 #> 89  69  8 92 60 46  0 #> 90  84  8 92 60 46  0 #> 91  69 96 92 60 46  0 #> 92  84 96 92 60 46  0 #> 93  69  8 38 89 46  0 #> 94  84  8 38 89 46  0 #> 95  69 96 38 89 46  0 #> 96  84 96 38 89 46  0 #> 97  69  8 92 89 46  0 #> 98  84  8 92 89 46  0 #> 99  69 96 92 89 46  0 #> 100 84 96 92 89 46  0 #> 101 69  8 38 60 74  0 #> 102 84  8 38 60 74  0 #> 103 69 96 38 60 74  0 #> 104 84 96 38 60 74  0 #> 105 69  8 92 60 74  0 #> 106 84  8 92 60 74  0 #> 107 69 96 92 60 74  0 #> 108 84 96 92 60 74  0 #> 109 69  8 38 89 74  0 #> 110 84  8 38 89 74  0 #> 111 69 96 38 89 74  0 #> 112 84 96 38 89 74  0 #> 113 69  8 92 89 74  0 #> 114 84  8 92 89 74  0 #> 115 69 96 92 89 74  0 #> 118 84 13 65 33 44  0 #> 119 72 96 65 33 44  0 #> 120 84 96 65 33 44  0 #> 121 72 13 92 33 44  0 #> 122 84 13 92 33 44  0 #> 123 72 96 92 33 44  0 #> 124 84 96 92 33 44  0 #> 125 72 13 65 89 44  0 #> 126 84 13 65 89 44  0 #> 127 72 96 65 89 44  0 #> 128 84 96 65 89 44  0 #> 129 72 13 92 89 44  0 #> 130 84 13 92 89 44  0 #> 131 72 96 92 89 44  0 #> 132 84 96 92 89 44  0 #> 133 72 13 65 33 74  0 #> 134 84 13 65 33 74  0 #> 135 72 96 65 33 74  0 #> 136 84 96 65 33 74  0 #> 137 72 13 92 33 74  0 #> 138 84 13 92 33 74  0 #> 139 72 96 92 33 74  0 #> 140 84 96 92 33 74  0 #> 141 72 13 65 89 74  0 #> 142 84 13 65 89 74  0 #> 143 72 96 65 89 74  0 #> 144 84 96 65 89 74  0 #> 145 72 13 92 89 74  0 #> 146 84 13 92 89 74  0 #> 147 72 96 92 89 74  0 #> 150 84 38 87 39 50  0 #> 151 22 96 87 39 50  0 #> 152 84 96 87 39 50  0 #> 153 22 38 92 39 50  0 #> 154 84 38 92 39 50  0 #> 155 22 96 92 39 50  0 #> 156 84 96 92 39 50  0 #> 157 22 38 87 89 50  0 #> 158 84 38 87 89 50  0 #> 159 22 96 87 89 50  0 #> 160 84 96 87 89 50  0 #> 161 22 38 92 89 50  0 #> 162 84 38 92 89 50  0 #> 163 22 96 92 89 50  0 #> 164 84 96 92 89 50  0 #> 165 22 38 87 39 74  0 #> 166 84 38 87 39 74  0 #> 167 22 96 87 39 74  0 #> 168 84 96 87 39 74  0 #> 169 22 38 92 39 74  0 #> 170 84 38 92 39 74  0 #> 171 22 96 92 39 74  0 #> 172 84 96 92 39 74  0 #> 173 22 38 87 89 74  0 #> 174 84 38 87 89 74  0 #> 175 22 96 87 89 74  0 #> 176 84 96 87 89 74  0 #> 177 22 38 92 89 74  0 #> 178 84 38 92 89 74  0 #> 179 22 96 92 89 74  0 #> 182 84 83 26 49 50  0 #> 183 22 96 26 49 50  0 #> 184 84 96 26 49 50  0 #> 185 22 83 92 49 50  0 #> 186 84 83 92 49 50  0 #> 187 22 96 92 49 50  0 #> 188 84 96 92 49 50  0 #> 189 22 83 26 89 50  0 #> 190 84 83 26 89 50  0 #> 191 22 96 26 89 50  0 #> 192 84 96 26 89 50  0 #> 193 22 83 92 89 50  0 #> 194 84 83 92 89 50  0 #> 197 22 83 26 49 74  0 #> 198 84 83 26 49 74  0 #> 199 22 96 26 49 74  0 #> 200 84 96 26 49 74  0 #> 201 22 83 92 49 74  0 #> 202 84 83 92 49 74  0 #> 203 22 96 92 49 74  0 #> 204 84 96 92 49 74  0 #> 205 22 83 26 89 74  0 #> 206 84 83 26 89 74  0 #> 207 22 96 26 89 74  0 #> 208 84 96 26 89 74  0 #> 209 22 83 92 89 74  0 #> 210 84 83 92 89 74  0 #> 214 84 25 61 20 31  0 #> 215 69 96 61 20 31  0 #> 216 84 96 61 20 31  0 #> 217 69 25 92 20 31  0 #> 218 84 25 92 20 31  0 #> 219 69 96 92 20 31  0 #> 220 84 96 92 20 31  0 #> 221 69 25 61 89 31  0 #> 222 84 25 61 89 31  0 #> 223 69 96 61 89 31  0 #> 224 84 96 61 89 31  0 #> 225 69 25 92 89 31  0 #> 226 84 25 92 89 31  0 #> 227 69 96 92 89 31  0 #> 228 84 96 92 89 31  0 #> 229 69 25 61 20 74  0 #> 230 84 25 61 20 74  0 #> 231 69 96 61 20 74  0 #> 232 84 96 61 20 74  0 #> 233 69 25 92 20 74  0 #> 234 84 25 92 20 74  0 #> 235 69 96 92 20 74  0 #> 236 84 96 92 20 74  0 #> 237 69 25 61 89 74  0 #> 238 84 25 61 89 74  0 #> 239 69 96 61 89 74  0 #> 240 84 96 61 89 74  0 #> 241 69 25 92 89 74  0 #> 242 84 25 92 89 74  0 #> 246 84 38 40 64 46  0 #> 247  6 96 40 64 46  0 #> 248 84 96 40 64 46  0 #> 249  6 38 92 64 46  0 #> 250 84 38 92 64 46  0 #> 251  6 96 92 64 46  0 #> 252 84 96 92 64 46  0 #> 253  6 38 40 89 46  0 #> 254 84 38 40 89 46  0 #> 255  6 96 40 89 46  0 #> 256 84 96 40 89 46  0 #> 257  6 38 92 89 46  0 #> 258 84 38 92 89 46  0 #> 259  6 96 92 89 46  0 #> 261  6 38 40 64 74  0 #> 262 84 38 40 64 74  0 #> 263  6 96 40 64 74  0 #> 264 84 96 40 64 74  0 #> 265  6 38 92 64 74  0 #> 266 84 38 92 64 74  0 #> 267  6 96 92 64 74  0 #> 268 84 96 92 64 74  0 #> 269  6 38 40 89 74  0 #> 270 84 38 40 89 74  0 #> 271  6 96 40 89 74  0 #> 272 84 96 40 89 74  0 #> 273  6 38 92 89 74  0 #> 275  6 96 92 89 74  0 #> 278 84 25 55 66 24  0 #> 279 79 96 55 66 24  0 #> 280 84 96 55 66 24  0 #> 281 79 25 92 66 24  0 #> 282 84 25 92 66 24  0 #> 283 79 96 92 66 24  0 #> 284 84 96 92 66 24  0 #> 285 79 25 55 89 24  0 #> 286 84 25 55 89 24  0 #> 287 79 96 55 89 24  0 #> 288 84 96 55 89 24  0 #> 289 79 25 92 89 24  0 #> 290 84 25 92 89 24  0 #> 291 79 96 92 89 24  0 #> 292 84 96 92 89 24  0 #> 293 79 25 55 66 74  0 #> 294 84 25 55 66 74  0 #> 295 79 96 55 66 74  0 #> 296 84 96 55 66 74  0 #> 297 79 25 92 66 74  0 #> 298 84 25 92 66 74  0 #> 299 79 96 92 66 74  0 #> 300 84 96 92 66 74  0 #> 301 79 25 55 89 74  0 #> 302 84 25 55 89 74  0 #> 303 79 96 55 89 74  0 #> 304 84 96 55 89 74  0 #> 305 79 25 92 89 74  0 #> 307 79 96 92 89 74  0 #> 310 84 45 74 36 14  0 #> 311 68 96 74 36 14  0 #> 312 84 96 74 36 14  0 #> 313 68 45 92 36 14  0 #> 314 84 45 92 36 14  0 #> 315 68 96 92 36 14  0 #> 316 84 96 92 36 14  0 #> 317 68 45 74 89 14  0 #> 318 84 45 74 89 14  0 #> 319 68 96 74 89 14  0 #> 320 84 96 74 89 14  0 #> 321 68 45 92 89 14  0 #> 322 84 45 92 89 14  0 #> 323 68 96 92 89 14  0 #> 324 84 96 92 89 14  0 #> 325 68 45 74 36 74  0 #> 326 84 45 74 36 74  0 #> 327 68 96 74 36 74  0 #> 328 84 96 74 36 74  0 #> 329 68 45 92 36 74  0 #> 330 84 45 92 36 74  0 #> 331 68 96 92 36 74  0 #> 332 84 96 92 36 74  0 #> 333 68 45 74 89 74  0 #> 334 84 45 74 89 74  0 #> 335 68 96 74 89 74  0 #> 336 84 96 74 89 74  0 #> 337 68 45 92 89 74  0 #> 338 84 45 92 89 74  0 #> 339 68 96 92 89 74  0 #> 342 84 79 36 47 22  0 #> 343 26 96 36 47 22  0 #> 344 84 96 36 47 22  0 #> 345 26 79 92 47 22  0 #> 346 84 79 92 47 22  0 #> 347 26 96 92 47 22  0 #> 348 84 96 92 47 22  0 #> 349 26 79 36 89 22  0 #> 350 84 79 36 89 22  0 #> 351 26 96 36 89 22  0 #> 352 84 96 36 89 22  0 #> 353 26 79 92 89 22  0 #> 354 84 79 92 89 22  0 #> 355 26 96 92 89 22  0 #> 356 84 96 92 89 22  0 #> 357 26 79 36 47 74  0 #> 358 84 79 36 47 74  0 #> 359 26 96 36 47 74  0 #> 360 84 96 36 47 74  0 #> 361 26 79 92 47 74  0 #> 362 84 79 92 47 74  0 #> 363 26 96 92 47 74  0 #> 364 84 96 92 47 74  0 #> 365 26 79 36 89 74  0 #> 366 84 79 36 89 74  0 #> 367 26 96 36 89 74  0 #> 368 84 96 36 89 74  0 #> 369 26 79 92 89 74  0 #> 370 84 79 92 89 74  0 #> 371 26 96 92 89 74  0 #> 374 84 12 72 34 38  0 #> 375 58 96 72 34 38  0 #> 376 84 96 72 34 38  0 #> 377 58 12 92 34 38  0 #> 378 84 12 92 34 38  0 #> 379 58 96 92 34 38  0 #> 380 84 96 92 34 38  0 #> 381 58 12 72 89 38  0 #> 382 84 12 72 89 38  0 #> 383 58 96 72 89 38  0 #> 384 84 96 72 89 38  0 #> 385 58 12 92 89 38  0 #> 386 84 12 92 89 38  0 #> 387 58 96 92 89 38  0 #> 388 84 96 92 89 38  0 #> 389 58 12 72 34 74  0 #> 390 84 12 72 34 74  0 #> 391 58 96 72 34 74  0 #> 392 84 96 72 34 74  0 #> 393 58 12 92 34 74  0 #> 394 84 12 92 34 74  0 #> 395 58 96 92 34 74  0 #> 396 84 96 92 34 74  0 #> 397 58 12 72 89 74  0 #> 398 84 12 72 89 74  0 #> 399 58 96 72 89 74  0 #> 400 84 96 72 89 74  0 #> 401 58 12 92 89 74  0 #> 402 84 12 92 89 74  0 #> 403 58 96 92 89 74  0 #> 406 84 19 64 52 15  0 #> 407 47 96 64 52 15  0 #> 408 84 96 64 52 15  0 #> 409 47 19 92 52 15  0 #> 410 84 19 92 52 15  0 #> 411 47 96 92 52 15  0 #> 412 84 96 92 52 15  0 #> 413 47 19 64 89 15  0 #> 414 84 19 64 89 15  0 #> 415 47 96 64 89 15  0 #> 416 84 96 64 89 15  0 #> 417 47 19 92 89 15  0 #> 418 84 19 92 89 15  0 #> 419 47 96 92 89 15  0 #> 420 84 96 92 89 15  0 #> 421 47 19 64 52 74  0 #> 422 84 19 64 52 74  0 #> 423 47 96 64 52 74  0 #> 424 84 96 64 52 74  0 #> 425 47 19 92 52 74  0 #> 426 84 19 92 52 74  0 #> 427 47 96 92 52 74  0 #> 428 84 96 92 52 74  0 #> 429 47 19 64 89 74  0 #> 430 84 19 64 89 74  0 #> 431 47 96 64 89 74  0 #> 432 84 96 64 89 74  0 #> 433 47 19 92 89 74  0 #> 434 84 19 92 89 74  0 #> 435 47 96 92 89 74  0 #> 438 84  4 63 53 56  0 #> 439 39 96 63 53 56  0 #> 440 84 96 63 53 56  0 #> 441 39  4 92 53 56  0 #> 442 84  4 92 53 56  0 #> 443 39 96 92 53 56  0 #> 444 84 96 92 53 56  0 #> 445 39  4 63 89 56  0 #> 446 84  4 63 89 56  0 #> 447 39 96 63 89 56  0 #> 448 84 96 63 89 56  0 #> 449 39  4 92 89 56  0 #> 450 84  4 92 89 56  0 #> 451 39 96 92 89 56  0 #> 452 84 96 92 89 56  0 #> 453 39  4 63 53 74  0 #> 454 84  4 63 53 74  0 #> 455 39 96 63 53 74  0 #> 456 84 96 63 53 74  0 #> 457 39  4 92 53 74  0 #> 458 84  4 92 53 74  0 #> 459 39 96 92 53 74  0 #> 460 84 96 92 53 74  0 #> 461 39  4 63 89 74  0 #> 462 84  4 63 89 74  0 #> 463 39 96 63 89 74  0 #> 465 39  4 92 89 74  0 #> 466 84  4 92 89 74  0 #> 467 39 96 92 89 74  0 #> 470 84 44 49 84 15  0 #> 471 57 96 49 84 15  0 #> 472 84 96 49 84 15  0 #> 473 57 44 92 84 15  0 #> 474 84 44 92 84 15  0 #> 475 57 96 92 84 15  0 #> 476 84 96 92 84 15  0 #> 477 57 44 49 89 15  0 #> 478 84 44 49 89 15  0 #> 479 57 96 49 89 15  0 #> 480 84 96 49 89 15  0 #> 481 57 44 92 89 15  0 #> 482 84 44 92 89 15  0 #> 483 57 96 92 89 15  0 #> 485 57 44 49 84 74  0 #> 486 84 44 49 84 74  0 #> 487 57 96 49 84 74  0 #> 488 84 96 49 84 74  0 #> 489 57 44 92 84 74  0 #> 490 84 44 92 84 74  0 #> 491 57 96 92 84 74  0 #> 493 57 44 49 89 74  0 #> 494 84 44 49 89 74  0 #> 495 57 96 49 89 74  0 #> 496 84 96 49 89 74  0 #> 497 57 44 92 89 74  0 #> 498 84 44 92 89 74  0 #> 499 57 96 92 89 74  0 #> 502 84 12 60 53 22  0 #> 503 58 96 60 53 22  0 #> 504 84 96 60 53 22  0 #> 505 58 12 92 53 22  0 #> 506 84 12 92 53 22  0 #> 507 58 96 92 53 22  0 #> 508 84 96 92 53 22  0 #> 509 58 12 60 89 22  0 #> 510 84 12 60 89 22  0 #> 511 58 96 60 89 22  0 #> 512 84 96 60 89 22  0 #> 513 58 12 92 89 22  0 #> 514 84 12 92 89 22  0 #> 515 58 96 92 89 22  0 #> 517 58 12 60 53 74  0 #> 518 84 12 60 53 74  0 #> 519 58 96 60 53 74  0 #> 520 84 96 60 53 74  0 #> 521 58 12 92 53 74  0 #> 522 84 12 92 53 74  0 #> 523 58 96 92 53 74  0 #> 525 58 12 60 89 74  0 #> 526 84 12 60 89 74  0 #> 527 58 96 60 89 74  0 #> 528 84 96 60 89 74  0 #> 534 84 12 54 22 61  0 #> 535 47 96 54 22 61  0 #> 536 84 96 54 22 61  0 #> 537 47 12 92 22 61  0 #> 538 84 12 92 22 61  0 #> 539 47 96 92 22 61  0 #> 540 84 96 92 22 61  0 #> 541 47 12 54 89 61  0 #> 542 84 12 54 89 61  0 #> 543 47 96 54 89 61  0 #> 544 84 96 54 89 61  0 #> 545 47 12 92 89 61  0 #> 546 84 12 92 89 61  0 #> 547 47 96 92 89 61  0 #> 548 84 96 92 89 61  0 #> 549 47 12 54 22 74  0 #> 550 84 12 54 22 74  0 #> 551 47 96 54 22 74  0 #> 552 84 96 54 22 74  0 #> 553 47 12 92 22 74  0 #> 554 84 12 92 22 74  0 #> 555 47 96 92 22 74  0 #> 556 84 96 92 22 74  0 #> 557 47 12 54 89 74  0 #> 558 84 12 54 89 74  0 #> 559 47 96 54 89 74  0 #> 560 84 96 54 89 74  0 #> 561 47 12 92 89 74  0 #> 566 84 21 69 35 25  0 #> 567 32 96 69 35 25  0 #> 568 84 96 69 35 25  0 #> 569 32 21 92 35 25  0 #> 570 84 21 92 35 25  0 #> 571 32 96 92 35 25  0 #> 572 84 96 92 35 25  0 #> 573 32 21 69 89 25  0 #> 574 84 21 69 89 25  0 #> 575 32 96 69 89 25  0 #> 576 84 96 69 89 25  0 #> 577 32 21 92 89 25  0 #> 578 84 21 92 89 25  0 #> 579 32 96 92 89 25  0 #> 580 84 96 92 89 25  0 #> 581 32 21 69 35 74  0 #> 582 84 21 69 35 74  0 #> 583 32 96 69 35 74  0 #> 584 84 96 69 35 74  0 #> 585 32 21 92 35 74  0 #> 586 84 21 92 35 74  0 #> 587 32 96 92 35 74  0 #> 588 84 96 92 35 74  0 #> 589 32 21 69 89 74  0 #> 590 84 21 69 89 74  0 #> 591 32 96 69 89 74  0 #> 592 84 96 69 89 74  0 #> 593 32 21 92 89 74  0 #> 594 84 21 92 89 74  0 #> 595 32 96 92 89 74  0 #> 598 84 91 51 41 31  0 #> 599 33 96 51 41 31  0 #> 600 84 96 51 41 31  0 #> 601 33 91 92 41 31  0 #> 602 84 91 92 41 31  0 #> 603 33 96 92 41 31  0 #> 604 84 96 92 41 31  0 #> 605 33 91 51 89 31  0 #> 606 84 91 51 89 31  0 #> 607 33 96 51 89 31  0 #> 608 84 96 51 89 31  0 #> 609 33 91 92 89 31  0 #> 610 84 91 92 89 31  0 #> 611 33 96 92 89 31  0 #> 613 33 91 51 41 74  0 #> 614 84 91 51 41 74  0 #> 615 33 96 51 41 74  0 #> 616 84 96 51 41 74  0 #> 617 33 91 92 41 74  0 #> 618 84 91 92 41 74  0 #> 619 33 96 92 41 74  0 #> 620 84 96 92 41 74  0 #> 621 33 91 51 89 74  0 #> 622 84 91 51 89 74  0 #> 623 33 96 51 89 74  0 #> 624 84 96 51 89 74  0 #> 625 33 91 92 89 74  0 #> 626 84 91 92 89 74  0 #> 627 33 96 92 89 74  0 #> 630 84 27 62 60 19  0 #> 631 76 96 62 60 19  0 #> 632 84 96 62 60 19  0 #> 633 76 27 92 60 19  0 #> 634 84 27 92 60 19  0 #> 635 76 96 92 60 19  0 #> 636 84 96 92 60 19  0 #> 637 76 27 62 89 19  0 #> 638 84 27 62 89 19  0 #> 639 76 96 62 89 19  0 #> 640 84 96 62 89 19  0 #> 641 76 27 92 89 19  0 #> 642 84 27 92 89 19  0 #> 643 76 96 92 89 19  0 #> 644 84 96 92 89 19  0 #> 645 76 27 62 60 74  0 #> 646 84 27 62 60 74  0 #> 647 76 96 62 60 74  0 #> 648 84 96 62 60 74  0 #> 649 76 27 92 60 74  0 #> 650 84 27 92 60 74  0 #> 651 76 96 92 60 74  0 #> 653 76 27 62 89 74  0 #> 654 84 27 62 89 74  0 #> 655 76 96 62 89 74  0 #> 656 84 96 62 89 74  0 #> 657 76 27 92 89 74  0 #> 658 84 27 92 89 74  0 #> 659 76 96 92 89 74  0"},{"path":"http://relund.github.io/gMOIP/reference/binaryPoints.html","id":null,"dir":"Reference","previous_headings":"","what":"Binary (0-1) points in the feasible region (Ax<=b). — binaryPoints","title":"Binary (0-1) points in the feasible region (Ax<=b). — binaryPoints","text":"Binary (0-1) points feasible region (Ax<=b).","code":""},{"path":"http://relund.github.io/gMOIP/reference/binaryPoints.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Binary (0-1) points in the feasible region (Ax<=b). — binaryPoints","text":"","code":"binaryPoints(A, b)"},{"path":"http://relund.github.io/gMOIP/reference/binaryPoints.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Binary (0-1) points in the feasible region (Ax<=b). — binaryPoints","text":"Constraint matrix. b Right hand side.","code":""},{"path":"http://relund.github.io/gMOIP/reference/binaryPoints.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Binary (0-1) points in the feasible region (Ax<=b). — binaryPoints","text":"data frame binary points inside feasible region.","code":""},{"path":"http://relund.github.io/gMOIP/reference/binaryPoints.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Binary (0-1) points in the feasible region (Ax<=b). — binaryPoints","text":"simple enumeration binary points. work ncol() large.","code":""},{"path":"http://relund.github.io/gMOIP/reference/binaryPoints.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Binary (0-1) points in the feasible region (Ax<=b). — binaryPoints","text":"Lars Relund lars@relund.dk.","code":""},{"path":"http://relund.github.io/gMOIP/reference/binaryPoints.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Binary (0-1) points in the feasible region (Ax<=b). — binaryPoints","text":"","code":"A <- matrix( c(3,-2, 1, 2, 4,-2,-3, 2, 1), nc = 3, byrow = TRUE) b <- c(10, 12, 3) binaryPoints(A, b) #>      x1 x2 x3 #> [1,]  0  0  0 #> [2,]  1  0  0 #> [3,]  0  1  0 #> [4,]  1  1  0 #> [5,]  0  0  1 #> [6,]  1  0  1 #> [7,]  0  1  1 #> [8,]  1  1  1  A <- matrix(c(9, 10, 2, 4, -3, 2), ncol = 2, byrow = TRUE) b <- c(90, 27, 3) binaryPoints(A, b) #>      x1 x2 #> [1,]  0  0 #> [2,]  1  0 #> [3,]  0  1 #> [4,]  1  1"},{"path":"http://relund.github.io/gMOIP/reference/classifyNDSet.html","id":null,"dir":"Reference","previous_headings":"","what":"Classify a set of nondominated points — classifyNDSet","title":"Classify a set of nondominated points — classifyNDSet","text":"classification supported (true/false), extreme (true/false), supported non-extreme (true/false)","code":""},{"path":"http://relund.github.io/gMOIP/reference/classifyNDSet.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Classify a set of nondominated points — classifyNDSet","text":"","code":"classifyNDSet(pts, direction = 1)"},{"path":"http://relund.github.io/gMOIP/reference/classifyNDSet.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Classify a set of nondominated points — classifyNDSet","text":"pts set non-dominated points. assumed ncol(pts) equals number objectives ($p$). direction Ray direction. 'th entry positive, consider 'th column pts plus value greater equal zero (minimize objective $$). negative, consider 'th column pts minus value greater equal zero (maximize objective $$).","code":""},{"path":"http://relund.github.io/gMOIP/reference/classifyNDSet.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Classify a set of nondominated points — classifyNDSet","text":"ND set classification columns.","code":""},{"path":"http://relund.github.io/gMOIP/reference/classifyNDSet.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Classify a set of nondominated points — classifyNDSet","text":"assumed pts nondominated.","code":""},{"path":"http://relund.github.io/gMOIP/reference/classifyNDSet.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Classify a set of nondominated points — classifyNDSet","text":"3D plot 3D plot 3D plot 3D plot","code":"# \\donttest{ pts <- matrix(c(0,0,1, 0,1,0, 1,0,0, 0.5,0.2,0.5, 0.25,0.5,0.25), ncol = 3, byrow = TRUE) ini3D(argsPlot3d = list(xlim = c(min(pts[,1])-2,max(pts[,1])+2),   ylim = c(min(pts[,2])-2,max(pts[,2])+2),   zlim = c(min(pts[,3])-2,max(pts[,3])+2))) plotHull3D(pts, addRays = TRUE, argsPolygon3d = list(alpha = 0.5), useRGLBBox = TRUE) pts <- classifyNDSet(pts[,1:3]) plotPoints3D(pts[pts$se,1:3], argsPlot3d = list(col = \"red\")) plotPoints3D(pts[pts$sne,1:3], argsPlot3d = list(col = \"black\")) plotPoints3D(pts[pts$us,1:3], argsPlot3d = list(col = \"blue\")) plotCones3D(pts[,1:3], rectangle = TRUE, argsPolygon3d = list(alpha = 1)) finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}pts #>     z1  z2   z3    se   sne    us cls #> 1 0.00 0.0 1.00  TRUE FALSE FALSE  se #> 2 0.00 1.0 0.00  TRUE FALSE FALSE  se #> 3 1.00 0.0 0.00  TRUE FALSE FALSE  se #> 4 0.50 0.2 0.50 FALSE FALSE  TRUE  us #> 5 0.25 0.5 0.25 FALSE  TRUE FALSE sne  pts <- matrix(c(0,0,1, 0,1,0, 1,0,0, 0.2,0.1,0.1, 0.1,0.45,0.45), ncol = 3, byrow = TRUE) di <- -1 # maximize ini3D(argsPlot3d = list(xlim = c(min(pts[,1])-1,max(pts[,1])+1),   ylim = c(min(pts[,2])-1,max(pts[,2])+1),   zlim = c(min(pts[,3])-1,max(pts[,3])+1))) plotHull3D(pts, addRays = TRUE, argsPolygon3d = list(alpha = 0.5), direction = di,            addText = \"coord\") pts <- classifyNDSet(pts[,1:3], direction = di) plotPoints3D(pts[pts$se,1:3], argsPlot3d = list(col = \"red\")) plotPoints3D(pts[pts$sne,1:3], argsPlot3d = list(col = \"black\")) plotPoints3D(pts[pts$us,1:3], argsPlot3d = list(col = \"blue\")) plotCones3D(pts[,1:3], rectangle = TRUE, argsPolygon3d = list(alpha = 1), direction = di) finalize3D() 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}pts #>    z1   z2   z3    se   sne    us cls #> 1 0.0 0.00 1.00  TRUE FALSE FALSE  se #> 2 0.0 1.00 0.00  TRUE FALSE FALSE  se #> 3 1.0 0.00 0.00  TRUE FALSE FALSE  se #> 4 0.2 0.10 0.10 FALSE FALSE  TRUE  us #> 5 0.1 0.45 0.45 FALSE  TRUE FALSE sne  pts <- matrix(c(0,0,1, 0,0,1, 0,1,0, 0.5,0.2,0.5, 1,0,0, 0.5,0.2,0.5, 0.25,0.5,0.25), ncol = 3,               byrow = TRUE) classifyNDSet(pts) #>     z1  z2   z3    se   sne    us cls #> 1 0.00 0.0 1.00  TRUE FALSE FALSE  se #> 2 0.00 0.0 1.00  TRUE FALSE FALSE  se #> 3 0.00 1.0 0.00  TRUE FALSE FALSE  se #> 4 0.50 0.2 0.50 FALSE FALSE  TRUE  us #> 5 1.00 0.0 0.00  TRUE FALSE FALSE  se #> 6 0.50 0.2 0.50 FALSE FALSE  TRUE  us #> 7 0.25 0.5 0.25 FALSE  TRUE FALSE sne  pts <- genNDSet(3,15)[,1:3] ini3D(argsPlot3d = list(xlim = c(0,max(pts$z1)+2),   ylim = c(0,max(pts$z2)+2),   zlim = c(0,max(pts$z3)+2))) plotHull3D(pts[, 1:3], addRays = TRUE, argsPolygon3d = list(alpha = 0.5)) pts <- classifyNDSet(pts[,1:3]) plotPoints3D(pts[pts$se,1:3], argsPlot3d = list(col = \"red\")) plotPoints3D(pts[pts$sne,1:3], argsPlot3d = list(col = \"black\")) plotPoints3D(pts[pts$us,1:3], argsPlot3d = list(col = \"blue\")) finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}pts #>    z1 z2 z3    se   sne    us cls #> 1  23 28 16  TRUE FALSE FALSE  se #> 2  16 57 16  TRUE FALSE FALSE  se #> 3  58 49  2  TRUE FALSE FALSE  se #> 4  29  6 53  TRUE FALSE FALSE  se #> 5  19 13 57  TRUE FALSE FALSE  se #> 6   2 47 60  TRUE FALSE FALSE  se #> 7  10 37 75 FALSE FALSE  TRUE  us #> 8  64 28  8  TRUE FALSE FALSE  se #> 9  43  3 62  TRUE FALSE FALSE  se #> 10 22 50 10  TRUE FALSE FALSE  se #> 11  5 39 34  TRUE FALSE FALSE  se #> 12  9 52 24  TRUE FALSE FALSE  se #> 13  4 64 38  TRUE FALSE FALSE  se #> 14 38 49  3  TRUE FALSE FALSE  se #> 15 13 21 63  TRUE FALSE FALSE  se  pts <- genNDSet(3, 15, keepDom = F, argsSphere = list(below = FALSE, factor = 10))[,1:3] ini3D(argsPlot3d = list(xlim = c(0,max(pts$z1)+2),   ylim = c(0,max(pts$z2)+2),   zlim = c(0,max(pts$z3)+2))) plotHull3D(pts[, 1:3], addRays = TRUE, argsPolygon3d = list(alpha = 0.5)) pts <- classifyNDSet(pts[,1:3]) plotPoints3D(pts[pts$se,1:3], argsPlot3d = list(col = \"red\")) plotPoints3D(pts[pts$sne,1:3], argsPlot3d = list(col = \"black\")) plotPoints3D(pts[pts$us,1:3], argsPlot3d = list(col = \"blue\")) finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}pts #>    z1 z2 z3    se   sne    us cls #> 1  92 36 27  TRUE FALSE FALSE  se #> 2  74 75 15 FALSE FALSE  TRUE  us #> 3  22 62 89 FALSE FALSE  TRUE  us #> 4  71 82 18 FALSE FALSE  TRUE  us #> 5  23 91 47  TRUE FALSE FALSE  se #> 6  79 67 13  TRUE FALSE FALSE  se #> 7  51 24 92 FALSE FALSE  TRUE  us #> 8  48 90 21  TRUE FALSE FALSE  se #> 9  81 13 61  TRUE FALSE FALSE  se #> 10 23 45 91  TRUE FALSE FALSE  se #> 11 84 16 60 FALSE FALSE  TRUE  us #> 12 41 94 28  TRUE FALSE FALSE  se #> 13 48 25 93  TRUE FALSE FALSE  se #> 14 14 65 80  TRUE FALSE FALSE  se #> 15 28 36 92  TRUE FALSE FALSE  se # }"},{"path":"http://relund.github.io/gMOIP/reference/convexHull.html","id":null,"dir":"Reference","previous_headings":"","what":"Find the convex hull of a set of points. — convexHull","title":"Find the convex hull of a set of points. — convexHull","text":"Find convex hull set points.","code":""},{"path":"http://relund.github.io/gMOIP/reference/convexHull.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Find the convex hull of a set of points. — convexHull","text":"","code":"convexHull(   pts,   addRays = FALSE,   useRGLBBox = FALSE,   direction = 1,   tol = mean(mean(abs(pts))) * sqrt(.Machine$double.eps) * 2,   m = apply(pts, 2, min) - 5,   M = apply(pts, 2, max) + 5 )"},{"path":"http://relund.github.io/gMOIP/reference/convexHull.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Find the convex hull of a set of points. — convexHull","text":"pts matrix point row. addRays Add ray defined direction. useRGLBBox Use RGL bounding box add rays. direction Ray direction. 'th entry positive, consider 'th column pts plus value greater equal zero (minimize objective $$). negative, consider 'th column pts minus value greater equal zero (maximize objective $$). tol Tolerance standard deviation using PCA. m Minimum values bounding box. M Maximum values bounding box.","code":""},{"path":"http://relund.github.io/gMOIP/reference/convexHull.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Find the convex hull of a set of points. — convexHull","text":"list hull equal matrix row indices vertices defining facet hull pts equal input points (dummy points) columns: pt, true point original input; false dummy point (point ray). vtx, TRUE vertex hull.","code":""},{"path":"http://relund.github.io/gMOIP/reference/convexHull.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Find the convex hull of a set of points. — convexHull","text":"3D plot","code":"## 1D pts<-matrix(c(1,2,3), ncol = 1, byrow = TRUE) dimFace(pts) # a line #> [1] 1 convexHull(pts) #> $hull #>      [,1] [,2] #> [1,]    1    3 #>  #> $pts #>   p1 pt   vtx #> 1  1  1  TRUE #> 2  2  1 FALSE #> 3  3  1  TRUE #>  convexHull(pts, addRays = TRUE) #> $hull #>      [,1] [,2] #> [1,]    1    4 #>  #> $pts #>    p1 pt   vtx #> 1   1  1  TRUE #> 2   2  1 FALSE #> 3   3  1 FALSE #> 21  8  0  TRUE #>   ## 2D pts<-matrix(c(1,1, 2,2), ncol = 2, byrow = TRUE) dimFace(pts) # a line #> [1] 1 convexHull(pts) #> $hull #>      [,1] [,2] #> [1,]    1    2 #>  #> $pts #>   p1 p2 pt  vtx #> 1  1  1  1 TRUE #> 2  2  2  1 TRUE #>  plotHull2D(pts, drawPoints = TRUE)  convexHull(pts, addRays = TRUE) #> $hull #>      [,1] [,2] [,3] [,4] #> [1,]    3    1    4    5 #>  #> $pts #>    p1 p2 pt   vtx #> 1   1  1  1  TRUE #> 2   2  2  1 FALSE #> 21  7  1  0  TRUE #> 3   1  7  0  TRUE #> 4   7  7  0  TRUE #>  plotHull2D(pts, addRays = TRUE, drawPoints = TRUE)  pts<-matrix(c(1,1, 2,2, 0,1), ncol = 2, byrow = TRUE) dimFace(pts) # a polygon #> [1] 2 convexHull(pts) #> $hull #>      [,1] [,2] [,3] #> [1,]    1    3    2 #>  #> $pts #>   p1 p2 pt  vtx #> 1  1  1  1 TRUE #> 2  2  2  1 TRUE #> 3  0  1  1 TRUE #>  plotHull2D(pts, drawPoints = TRUE)  convexHull(pts, addRays = TRUE, direction = c(-1,1)) #> $hull #>      [,1] [,2] [,3] [,4] [,5] #> [1,]    2    1    4    5    6 #>  #> $pts #>    p1 p2 pt   vtx #> 1   1  1  1  TRUE #> 2   2  2  1  TRUE #> 3   0  1  1 FALSE #> 21 -5  1  0  TRUE #> 4  -5  7  0  TRUE #> 32  2  7  0  TRUE #>  plotHull2D(pts, addRays = TRUE, direction = c(-1,1), addText = \"coord\")   ## 3D pts<-matrix(c(1,1,1), ncol = 3, byrow = TRUE) dimFace(pts) # a point #> [1] 0 convexHull(pts) #> $hull #>      [,1] #> [1,]    1 #>  #> $pts #>   p1 p2 p3 pt  vtx #> 1  1  1  1  1 TRUE #>  pts<-matrix(c(0,0,0,1,1,1,2,2,2,3,3,3), ncol = 3, byrow = TRUE) dimFace(pts) # a line #> [1] 1 convexHull(pts) #> $hull #>      [,1] [,2] #> [1,]    1    4 #>  #> $pts #>   p1 p2 p3 pt   vtx #> 1  0  0  0  1  TRUE #> 2  1  1  1  1 FALSE #> 3  2  2  2  1 FALSE #> 4  3  3  3  1  TRUE #>  pts<-matrix(c(0,0,0,0,1,1,0,2,2,0,0,2), ncol = 3, byrow = TRUE) dimFace(pts) # a polygon #> [1] 2 convexHull(pts) #> $hull #>      [,1] [,2] [,3] #> [1,]    1    4    3 #>  #> $pts #>   p1 p2 p3 pt   vtx #> 1  0  0  0  1  TRUE #> 2  0  1  1  1 FALSE #> 3  0  2  2  1  TRUE #> 4  0  0  2  1  TRUE #>  convexHull(pts, addRays = TRUE) #> $hull #>      [,1] [,2] [,3] [,4] #> [1,]    7    6    5    1 #> [2,]    9    8    5    1 #> [3,]    9    7   11    5 #> [4,]   10    8    6    1 #> [5,]   10    7   11    6 #> [6,]   10    9   11    8 #>  #> $pts #>    p1 p2 p3 pt   vtx #> 1   0  0  0  1  TRUE #> 2   0  1  1  1 FALSE #> 3   0  2  2  1 FALSE #> 4   0  0  2  1 FALSE #> 21  5  0  0  0  TRUE #> 31  0  7  0  0  TRUE #> 41  5  7  0  0  TRUE #> 5   0  0  7  0  TRUE #> 6   5  0  7  0  TRUE #> 7   0  7  7  0  TRUE #> 8   5  7  7  0  TRUE #>  pts<-matrix(c(1,0,0,1,1,1,1,2,2,3,1,1), ncol = 3, byrow = TRUE) dimFace(pts) # a polygon #> [1] 2 convexHull(pts) # a polyhedron #> $hull #>      [,1] [,2] [,3] #> [1,]    1    3    4 #>  #> $pts #>   p1 p2 p3 pt   vtx #> 1  1  0  0  1  TRUE #> 2  1  1  1  1 FALSE #> 3  1  2  2  1  TRUE #> 4  3  1  1  1  TRUE #>  pts<-matrix(c(1,1,1,2,2,1,2,1,1,1,1,2), ncol = 3, byrow = TRUE) dimFace(pts) # a polytope (polyhedron) #> [1] 3 convexHull(pts) #> $hull #>      [,1] [,2] [,3] #> [1,]    3    2    1 #> [2,]    4    2    1 #> [3,]    4    3    1 #> [4,]    4    3    2 #> attr(,\"convhulln\") #> <pointer: 0x564c5a566ed0> #>  #> $pts #>   p1 p2 p3 pt  vtx #> 1  1  1  1  1 TRUE #> 2  2  2  1  1 TRUE #> 3  2  1  1  1 TRUE #> 4  1  1  2  1 TRUE #>   ini3D(argsPlot3d = list(xlim = c(0,3), ylim = c(0,3), zlim = c(0,3))) pts<-matrix(c(1,1,1,2,2,1,2,1,1,1,1,2), ncol = 3, byrow = TRUE) plotPoints3D(pts) plotHull3D(pts, argsPolygon3d = list(color = \"red\")) convexHull(pts) #> $hull #>      [,1] [,2] [,3] #> [1,]    3    2    1 #> [2,]    4    2    1 #> [3,]    4    3    1 #> [4,]    4    3    2 #> attr(,\"convhulln\") #> <pointer: 0x564c5f4c7300> #>  #> $pts #>   p1 p2 p3 pt  vtx #> 1  1  1  1  1 TRUE #> 2  2  2  1  1 TRUE #> 3  2  1  1  1 TRUE #> 4  1  1  2  1 TRUE #>  plotHull3D(pts, addRays = TRUE) convexHull(pts, addRays = TRUE) #> $hull #>      [,1] [,2] [,3] [,4] #> [1,]    7    6    5    1 #> [2,]    9    8    5    1 #> [3,]    9    7   11    5 #> [4,]   10    8    6    1 #> [5,]   10    7   11    6 #> [6,]   10    9   11    8 #>  #> $pts #>    p1 p2 p3 pt   vtx #> 1   1  1  1  1  TRUE #> 2   2  2  1  1 FALSE #> 3   2  1  1  1 FALSE #> 4   1  1  2  1 FALSE #> 21  7  1  1  0  TRUE #> 31  1  7  1  0  TRUE #> 41  7  7  1  0  TRUE #> 5   1  1  7  0  TRUE #> 6   7  1  7  0  TRUE #> 7   1  7  7  0  TRUE #> 8   7  7  7  0  TRUE #>  finalize3D() 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}"},{"path":"http://relund.github.io/gMOIP/reference/cornerPoints.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate the corner points for the polytope Ax<=b. — cornerPoints","title":"Calculate the corner points for the polytope Ax<=b. — cornerPoints","text":"Calculate corner points polytope Ax<=b.","code":""},{"path":"http://relund.github.io/gMOIP/reference/cornerPoints.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate the corner points for the polytope Ax<=b. — cornerPoints","text":"","code":"cornerPoints(A, b, type = rep(\"c\", ncol(A)), nonneg = rep(TRUE, ncol(A)))"},{"path":"http://relund.github.io/gMOIP/reference/cornerPoints.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate the corner points for the polytope Ax<=b. — cornerPoints","text":"Constraint matrix. b Right hand side. type character vector length number variables. entry k '' variable \\(k\\) must integer 'c' continuous. nonneg boolean vector length number variables. entry k TRUE variable k must non-negative.","code":""},{"path":"http://relund.github.io/gMOIP/reference/cornerPoints.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate the corner points for the polytope Ax<=b. — cornerPoints","text":"data frame corner point row.","code":""},{"path":"http://relund.github.io/gMOIP/reference/cornerPoints.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate the corner points for the polytope Ax<=b. — cornerPoints","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/cornerPoints.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate the corner points for the polytope Ax<=b. — cornerPoints","text":"","code":"A <- matrix( c(3,-2, 1, 2, 4,-2,-3, 2, 1), nc = 3, byrow = TRUE) b <- c(10, 12, 3) cornerPoints(A, b, type = c(\"c\", \"c\", \"c\")) #>            x1    x2  x3 #> [1,] 4.000000 4.250 6.5 #> [2,] 1.166667 0.000 6.5 #> [3,] 0.000000 0.000 3.0 #> [4,] 4.000000 1.000 0.0 #> [5,] 0.750000 2.625 0.0 #> [6,] 0.000000 1.500 0.0 #> [7,] 3.333333 0.000 0.0 #> [8,] 0.000000 0.000 0.0 cornerPoints(A, b, type = c(\"i\", \"i\", \"i\")) #>       x1 x2 x3 #>  [1,]  2  0  4 #>  [2,]  2  1  6 #>  [3,]  1  0  6 #>  [4,]  2  3  2 #>  [5,]  2  2  0 #>  [6,]  1  2  0 #>  [7,]  3  0  1 #>  [8,]  3  0  0 #>  [9,]  4  1  0 #> [10,]  2  3  3 #> [11,]  4  4  6 #> [12,]  3  3  6 #> [13,]  0  1  0 #> [14,]  0  0  0 #> [15,]  0  0  3 #> [16,]  0  1  1 cornerPoints(A, b, type = c(\"i\", \"c\", \"c\")) #>       x1   x2  x3 #>  [1,]  0 0.00 0.0 #>  [2,]  0 1.50 0.0 #>  [3,]  0 0.00 3.0 #>  [4,]  1 2.50 0.0 #>  [5,]  1 2.75 0.5 #>  [6,]  2 1.25 6.5 #>  [7,]  2 0.00 4.0 #>  [8,]  1 0.00 6.0 #>  [9,]  3 0.00 1.0 #> [10,]  3 0.00 0.0 #> [11,]  4 1.00 0.0 #> [12,]  4 4.25 6.5"},{"path":"http://relund.github.io/gMOIP/reference/cornerPointsCont.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate the corner points for the polytope Ax<=b assuming all variables are\ncontinuous. — cornerPointsCont","title":"Calculate the corner points for the polytope Ax<=b assuming all variables are\ncontinuous. — cornerPointsCont","text":"Calculate corner points polytope Ax<=b assuming variables continuous.","code":""},{"path":"http://relund.github.io/gMOIP/reference/cornerPointsCont.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate the corner points for the polytope Ax<=b assuming all variables are\ncontinuous. — cornerPointsCont","text":"","code":"cornerPointsCont(A, b, nonneg = rep(TRUE, ncol(A)))"},{"path":"http://relund.github.io/gMOIP/reference/cornerPointsCont.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate the corner points for the polytope Ax<=b assuming all variables are\ncontinuous. — cornerPointsCont","text":"Constraint matrix. b Right hand side. nonneg boolean vector length number variables. entry k TRUE variable k must non-negative.","code":""},{"path":"http://relund.github.io/gMOIP/reference/cornerPointsCont.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate the corner points for the polytope Ax<=b assuming all variables are\ncontinuous. — cornerPointsCont","text":"data frame corner point row.","code":""},{"path":"http://relund.github.io/gMOIP/reference/cornerPointsCont.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate the corner points for the polytope Ax<=b assuming all variables are\ncontinuous. — cornerPointsCont","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/criterionPoints.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate the criterion points of a set of points and ranges to find the set\nof non-dominated points (Pareto points) and classify them into extreme\nsupported, non-extreme supported, non-supported. — criterionPoints","title":"Calculate the criterion points of a set of points and ranges to find the set\nof non-dominated points (Pareto points) and classify them into extreme\nsupported, non-extreme supported, non-supported. — criterionPoints","text":"Calculate criterion points set points ranges find set non-dominated points (Pareto points) classify extreme supported, non-extreme supported, non-supported.","code":""},{"path":"http://relund.github.io/gMOIP/reference/criterionPoints.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate the criterion points of a set of points and ranges to find the set\nof non-dominated points (Pareto points) and classify them into extreme\nsupported, non-extreme supported, non-supported. — criterionPoints","text":"","code":"criterionPoints(pts, obj, crit, labels = \"coord\")"},{"path":"http://relund.github.io/gMOIP/reference/criterionPoints.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate the criterion points of a set of points and ranges to find the set\nof non-dominated points (Pareto points) and classify them into extreme\nsupported, non-extreme supported, non-supported. — criterionPoints","text":"pts data frame column variable solution space (can also rangePoints). obj p x n matrix(one row criterion). crit Either max min. labels NULL \"n\" add labels (empty string). equals coord, labels solution space coordinates. Otherwise number points one based solution space points.","code":""},{"path":"http://relund.github.io/gMOIP/reference/criterionPoints.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate the criterion points of a set of points and ranges to find the set\nof non-dominated points (Pareto points) and classify them into extreme\nsupported, non-extreme supported, non-supported. — criterionPoints","text":"data frame columns x1, ..., xn, z1, ..., zp, lbl (label), nD (non-dominated), ext (extreme), nonExt (non-extreme supported).","code":""},{"path":"http://relund.github.io/gMOIP/reference/criterionPoints.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate the criterion points of a set of points and ranges to find the set\nof non-dominated points (Pareto points) and classify them into extreme\nsupported, non-extreme supported, non-supported. — criterionPoints","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/criterionPoints.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate the criterion points of a set of points and ranges to find the set\nof non-dominated points (Pareto points) and classify them into extreme\nsupported, non-extreme supported, non-supported. — criterionPoints","text":"","code":"A <- matrix( c(3, -2, 1, 2, 4, -2, -3, 2, 1), nc = 3, byrow = TRUE) b <- c(10,12,3) pts <- integerPoints(A, b) obj <- matrix( c(1,-3,1,-1,1,-1), byrow = TRUE, ncol = 3 ) criterionPoints(pts, obj, crit = \"max\", labels = \"numb\") #>     x1 x2 x3 z1 z2 lbl    nd    se   sne    us cls #> 1    0  0  0  0  0   1  TRUE  TRUE FALSE FALSE  se #> 2    1  0  0  1 -1   2  TRUE FALSE  TRUE FALSE sne #> 3    1  0  0  1 -1   2  TRUE FALSE  TRUE FALSE sne #> 4    2  0  0  2 -2   3  TRUE FALSE  TRUE FALSE sne #> 5    2  0  0  2 -2   3  TRUE FALSE  TRUE FALSE sne #> 6    2  0  0  2 -2   3  TRUE FALSE  TRUE FALSE sne #> 7    3  0  0  3 -3   4  TRUE FALSE  TRUE FALSE sne #> 8    3  0  0  3 -3   4  TRUE FALSE  TRUE FALSE sne #> 9    3  0  0  3 -3   4  TRUE FALSE  TRUE FALSE sne #> 10   3  0  0  3 -3   4  TRUE FALSE  TRUE FALSE sne #> 11   0  1  0 -3  1   5  TRUE  TRUE FALSE FALSE  se #> 12   1  1  0 -2  0   6 FALSE FALSE FALSE  TRUE   d #> 13   1  1  0 -2  0   6 FALSE FALSE FALSE  TRUE   d #> 14   2  1  0 -1 -1   7 FALSE FALSE FALSE  TRUE   d #> 15   2  1  0 -1 -1   7 FALSE FALSE FALSE  TRUE   d #> 16   3  1  0  0 -2   8 FALSE FALSE FALSE  TRUE   d #> 17   3  1  0  0 -2   8 FALSE FALSE FALSE  TRUE   d #> 18   3  1  0  0 -2   8 FALSE FALSE FALSE  TRUE   d #> 19   4  1  0  1 -3   9 FALSE FALSE FALSE  TRUE   d #> 20   4  1  0  1 -3   9 FALSE FALSE FALSE  TRUE   d #> 21   4  1  0  1 -3   9 FALSE FALSE FALSE  TRUE   d #> 22   4  1  0  1 -3   9 FALSE FALSE FALSE  TRUE   d #> 23   1  2  0 -5  1  10 FALSE FALSE FALSE  TRUE   d #> 24   2  2  0 -4  0  11 FALSE FALSE FALSE  TRUE   d #> 25   2  2  0 -4  0  11 FALSE FALSE FALSE  TRUE   d #> 26   0  0  1  1 -1  12  TRUE FALSE  TRUE FALSE sne #> 27   0  0  1  1 -1  12  TRUE FALSE  TRUE FALSE sne #> 28   1  0  1  2 -2  13  TRUE FALSE  TRUE FALSE sne #> 29   1  0  1  2 -2  13  TRUE FALSE  TRUE FALSE sne #> 30   1  0  1  2 -2  13  TRUE FALSE  TRUE FALSE sne #> 31   2  0  1  3 -3  14  TRUE FALSE  TRUE FALSE sne #> 32   2  0  1  3 -3  14  TRUE FALSE  TRUE FALSE sne #> 33   2  0  1  3 -3  14  TRUE FALSE  TRUE FALSE sne #> 34   2  0  1  3 -3  14  TRUE FALSE  TRUE FALSE sne #> 35   3  0  1  4 -4  15  TRUE FALSE  TRUE FALSE sne #> 36   3  0  1  4 -4  15  TRUE FALSE  TRUE FALSE sne #> 37   3  0  1  4 -4  15  TRUE FALSE  TRUE FALSE sne #> 38   0  1  1 -2  0  16 FALSE FALSE FALSE  TRUE   d #> 39   0  1  1 -2  0  16 FALSE FALSE FALSE  TRUE   d #> 40   1  1  1 -1 -1  17 FALSE FALSE FALSE  TRUE   d #> 41   1  1  1 -1 -1  17 FALSE FALSE FALSE  TRUE   d #> 42   2  1  1  0 -2  18 FALSE FALSE FALSE  TRUE   d #> 43   2  1  1  0 -2  18 FALSE FALSE FALSE  TRUE   d #> 44   2  1  1  0 -2  18 FALSE FALSE FALSE  TRUE   d #> 45   3  1  1  1 -3  19 FALSE FALSE FALSE  TRUE   d #> 46   3  1  1  1 -3  19 FALSE FALSE FALSE  TRUE   d #> 47   3  1  1  1 -3  19 FALSE FALSE FALSE  TRUE   d #> 48   3  1  1  1 -3  19 FALSE FALSE FALSE  TRUE   d #> 49   1  2  1 -4  0  20 FALSE FALSE FALSE  TRUE   d #> 50   1  2  1 -4  0  20 FALSE FALSE FALSE  TRUE   d #> 51   2  2  1 -3 -1  21 FALSE FALSE FALSE  TRUE   d #> 52   2  2  1 -3 -1  21 FALSE FALSE FALSE  TRUE   d #> 53   3  2  1 -2 -2  22 FALSE FALSE FALSE  TRUE   d #> 54   3  2  1 -2 -2  22 FALSE FALSE FALSE  TRUE   d #> 55   0  0  2  2 -2  23  TRUE FALSE  TRUE FALSE sne #> 56   0  0  2  2 -2  23  TRUE FALSE  TRUE FALSE sne #> 57   0  0  2  2 -2  23  TRUE FALSE  TRUE FALSE sne #> 58   1  0  2  3 -3  24  TRUE FALSE  TRUE FALSE sne #> 59   1  0  2  3 -3  24  TRUE FALSE  TRUE FALSE sne #> 60   1  0  2  3 -3  24  TRUE FALSE  TRUE FALSE sne #> 61   1  0  2  3 -3  24  TRUE FALSE  TRUE FALSE sne 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#> 136  2  1  6  5 -7  58 FALSE FALSE FALSE  TRUE   d #> 137  3  3  6  0 -6  59 FALSE FALSE FALSE  TRUE   d #> 138  4  4  6 -2 -6  60 FALSE FALSE FALSE  TRUE   d"},{"path":"http://relund.github.io/gMOIP/reference/df2String.html","id":null,"dir":"Reference","previous_headings":"","what":"Convert each row to a string. — df2String","title":"Convert each row to a string. — df2String","text":"Convert row string.","code":""},{"path":"http://relund.github.io/gMOIP/reference/df2String.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Convert each row to a string. — df2String","text":"","code":"df2String(df, round = 2)"},{"path":"http://relund.github.io/gMOIP/reference/df2String.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Convert each row to a string. — df2String","text":"df Data frame. round many digits round","code":""},{"path":"http://relund.github.io/gMOIP/reference/df2String.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Convert each row to a string. — df2String","text":"vector strings.","code":""},{"path":"http://relund.github.io/gMOIP/reference/dimFace.html","id":null,"dir":"Reference","previous_headings":"","what":"Return the dimension of the convex hull of a set of points. — dimFace","title":"Return the dimension of the convex hull of a set of points. — dimFace","text":"Return dimension convex hull set points.","code":""},{"path":"http://relund.github.io/gMOIP/reference/dimFace.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Return the dimension of the convex hull of a set of points. — dimFace","text":"","code":"dimFace(pts, dim = NULL)"},{"path":"http://relund.github.io/gMOIP/reference/dimFace.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Return the dimension of the convex hull of a set of points. — dimFace","text":"pts matrix/data frame/vector can converted matrix row point. dim dimension points, .e. assume column 1-dim specify points. NULL assume dimension number columns.","code":""},{"path":"http://relund.github.io/gMOIP/reference/dimFace.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Return the dimension of the convex hull of a set of points. — dimFace","text":"dimension object.","code":""},{"path":"http://relund.github.io/gMOIP/reference/dimFace.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Return the dimension of the convex hull of a set of points. — dimFace","text":"","code":"## In 1D pts <- matrix(c(3), ncol = 1, byrow = TRUE) dimFace(pts) #> [1] 0 pts <- matrix(c(1,3,4), ncol = 1, byrow = TRUE) dimFace(pts) #> [1] 1  ## In 2D pts <- matrix(c(3,3,6,3,3,6), ncol = 2, byrow = TRUE) dimFace(pts) #> [1] 2 pts <- matrix(c(1,1,2,2,3,3), ncol = 2, byrow = TRUE) dimFace(pts) #> [1] 1 pts <- matrix(c(0,0), ncol = 2, byrow = TRUE) dimFace(pts) #> [1] 0  ## In 3D pts <- c(3,3,3,6,3,3,3,6,3,6,6,3) dimFace(pts, dim = 3) #> [1] 2 pts <- matrix( c(1,1,1), ncol = 3, byrow = TRUE) dimFace(pts) #> [1] 0 pts <- matrix( c(1,1,1,2,2,2), ncol = 3, byrow = TRUE) dimFace(pts) #> [1] 1 pts <- matrix(c(2,2,2,3,2,2), ncol=3, byrow= TRUE) dimFace(pts) #> [1] 1 pts <- matrix(c(0,0,0,0,1,1,0,2,2,0,5,2,0,6,1), ncol = 3, byrow = TRUE) dimFace(pts) #> [1] 2 pts <- matrix(c(0,0,0,0,1,1,0,2,2,0,0,2,1,1,1), ncol = 3, byrow = TRUE) dimFace(pts) #> [1] 3  ## In 4D pts <- matrix(c(2,2,2,3,2,2,3,4,1,2,3,4), ncol=4, byrow= TRUE) dimFace(pts,) #> [1] 2"},{"path":"http://relund.github.io/gMOIP/reference/dot-checkPts.html","id":null,"dir":"Reference","previous_headings":"","what":"Check if point input is okay — .checkPts","title":"Check if point input is okay — .checkPts","text":"Check point input okay","code":""},{"path":"http://relund.github.io/gMOIP/reference/dot-checkPts.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Check if point input is okay — .checkPts","text":"","code":".checkPts(pts, p = NULL, warn = FALSE, stopUnique = TRUE, asDF = FALSE)"},{"path":"http://relund.github.io/gMOIP/reference/dot-checkPts.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Check if point input is okay — .checkPts","text":"pts Point input. p Desired dimension points. warn Output warnings. stopUnique Stop rows unique. asDF Return data frame otherwise matrix.","code":""},{"path":"http://relund.github.io/gMOIP/reference/dot-checkPts.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Check if point input is okay — .checkPts","text":"Point input converted matrix.","code":""},{"path":"http://relund.github.io/gMOIP/reference/dot-getRanges.html","id":null,"dir":"Reference","previous_headings":"","what":"Get ranges of the bounding box margins — .getRanges","title":"Get ranges of the bounding box margins — .getRanges","text":"Get ranges bounding box margins","code":""},{"path":"http://relund.github.io/gMOIP/reference/dot-getRanges.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Get ranges of the bounding box margins — .getRanges","text":"","code":".getRanges(expand = 1.03, ranges = par3d(\"bbox\"))"},{"path":"http://relund.github.io/gMOIP/reference/dot-getRanges.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Get ranges of the bounding box margins — .getRanges","text":"expand Expand margins. ranges bounding box.","code":""},{"path":"http://relund.github.io/gMOIP/reference/dot-getRanges.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Get ranges of the bounding box margins — .getRanges","text":"list ranges.","code":""},{"path":"http://relund.github.io/gMOIP/reference/dot-mToDirection.html","id":null,"dir":"Reference","previous_headings":"","what":"Convert min/max to direction (1/-1) — .mToDirection","title":"Convert min/max to direction (1/-1) — .mToDirection","text":"Convert min/max direction (1/-1)","code":""},{"path":"http://relund.github.io/gMOIP/reference/dot-mToDirection.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Convert min/max to direction (1/-1) — .mToDirection","text":"","code":".mToDirection(m, p)"},{"path":"http://relund.github.io/gMOIP/reference/dot-mToDirection.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Convert min/max to direction (1/-1) — .mToDirection","text":"m Min/max vector. p Number objectives.","code":""},{"path":"http://relund.github.io/gMOIP/reference/dot-mToDirection.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Convert min/max to direction (1/-1) — .mToDirection","text":"direction vector (min = 1 max = -1)","code":""},{"path":"http://relund.github.io/gMOIP/reference/dot-sizeM.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate 1 em in pixels in the resulting png. — .sizeM","title":"Estimate 1 em in pixels in the resulting png. — .sizeM","text":"Estimate 1 em pixels resulting png.","code":""},{"path":"http://relund.github.io/gMOIP/reference/dot-sizeM.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate 1 em in pixels in the resulting png. — .sizeM","text":"","code":".sizeM(...)"},{"path":"http://relund.github.io/gMOIP/reference/dot-sizeM.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate 1 em in pixels in the resulting png. — .sizeM","text":"... Arguments parsed texToPng.","code":""},{"path":"http://relund.github.io/gMOIP/reference/dot-sizeM.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate 1 em in pixels in the resulting png. — .sizeM","text":"width size png.","code":""},{"path":"http://relund.github.io/gMOIP/reference/finalize3D.html","id":null,"dir":"Reference","previous_headings":"","what":"Finalize the RGL window. — finalize3D","title":"Finalize the RGL window. — finalize3D","text":"Finalize RGL window.","code":""},{"path":"http://relund.github.io/gMOIP/reference/finalize3D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Finalize the RGL window. — finalize3D","text":"","code":"finalize3D(...)"},{"path":"http://relund.github.io/gMOIP/reference/finalize3D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Finalize the RGL window. — finalize3D","text":"... arguments passed RGL plotting functions. must done lists. Currently following arguments supported: argsAxes3d: list arguments rgl::axes3d. argsTitle3d: list arguments rgl::title3d.","code":""},{"path":"http://relund.github.io/gMOIP/reference/finalize3D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Finalize the RGL window. — finalize3D","text":"RGL object (using rgl::highlevel()).","code":""},{"path":"http://relund.github.io/gMOIP/reference/finalize3D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Finalize the RGL window. — finalize3D","text":"3D plot 3D plot","code":"# \\donttest{ ini3D() pts<-matrix(c(1,1,1,5,5,5), ncol = 3, byrow = TRUE) plotPoints3D(pts) finalize3D() 3D plot  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gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 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mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D() pts<-matrix(c(1,1,1,5,5,5), ncol = 3, byrow = TRUE) plotPoints3D(pts) finalize3D(argsAxes3d = list(edges = \"bbox\")) 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# }"},{"path":"http://relund.github.io/gMOIP/reference/gMOIP-package.html","id":null,"dir":"Reference","previous_headings":"","what":"gMOIP: Tools for 2D and 3D Plots of Single and Multi-Objective Linear/Integer Programming Models — gMOIP-package","title":"gMOIP: Tools for 2D and 3D Plots of Single and Multi-Objective Linear/Integer Programming Models — gMOIP-package","text":"Make 2D 3D plots linear programming (LP), integer linear programming (ILP), mixed integer linear programming (MILP) models three objectives. Plots solution criterion space possible. instance non-dominated (Pareto) set bi-objective LP/ILP/MILP programming models (see vignettes overview). package also contains function checking point inside convex hull.","code":""},{"path":[]},{"path":"http://relund.github.io/gMOIP/reference/gMOIP-package.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"gMOIP: Tools for 2D and 3D Plots of Single and Multi-Objective Linear/Integer Programming Models — gMOIP-package","text":"Maintainer: Lars Relund Nielsen lars@relund.dk (ORCID)","code":""},{"path":"http://relund.github.io/gMOIP/reference/gMOIPTheme.html","id":null,"dir":"Reference","previous_headings":"","what":"The ggplot theme for the package — gMOIPTheme","title":"The ggplot theme for the package — gMOIPTheme","text":"ggplot theme package","code":""},{"path":"http://relund.github.io/gMOIP/reference/gMOIPTheme.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"The ggplot theme for the package — gMOIPTheme","text":"","code":"gMOIPTheme(...)"},{"path":"http://relund.github.io/gMOIP/reference/gMOIPTheme.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"The ggplot theme for the package — gMOIPTheme","text":"... arguments parsed ggplot2::theme().","code":""},{"path":"http://relund.github.io/gMOIP/reference/gMOIPTheme.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"The ggplot theme for the package — gMOIPTheme","text":"theme object.","code":""},{"path":"http://relund.github.io/gMOIP/reference/gMOIPTheme.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"The ggplot theme for the package — gMOIPTheme","text":"","code":"pts <- matrix(c(1,1), ncol = 2, byrow = TRUE) plotHull2D(pts)  pts1 <- matrix(c(2,2, 3,3), ncol = 2, byrow = TRUE) pts2 <- matrix(c(1,1, 2,2, 0,1), ncol = 2, byrow = TRUE) ggplot2::ggplot() +   plotHull2D(pts2, drawPoints = TRUE, addText = \"coord\", drawPlot = FALSE) +   plotHull2D(pts1, drawPoints = TRUE, drawPlot = FALSE) +   gMOIPTheme() +   ggplot2::xlab(expression(x[1])) +   ggplot2::ylab(expression(x[2]))"},{"path":"http://relund.github.io/gMOIP/reference/genNDSet.html","id":null,"dir":"Reference","previous_headings":"","what":"Generate a sample of nondominated points. — genNDSet","title":"Generate a sample of nondominated points. — genNDSet","text":"Generate sample nondominated points.","code":""},{"path":"http://relund.github.io/gMOIP/reference/genNDSet.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Generate a sample of nondominated points. — genNDSet","text":"","code":"genNDSet(   p,   n,   range = c(1, 100),   random = FALSE,   sphere = TRUE,   planes = FALSE,   box = FALSE,   keepDom = FALSE,   crit = \"min\",   dubND = FALSE,   classify = FALSE,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/genNDSet.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Generate a sample of nondominated points. — genNDSet","text":"p Dimension points. n Number nondominated points generated. range range points dimension (vector matrix p rows). random Random sampling. sphere Generate points sphere. planes Generate points two planes. box Generate points boxes. keepDom Keep dominated points also. crit Criteria used (vector min/max). dubND duplicated non-dominated points considered non-dominated. classify Non-dominated points classified supported extreme (se), supported non-extreme (sne) unsupported (us) ... arguments passed genSample.","code":""},{"path":"http://relund.github.io/gMOIP/reference/genNDSet.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Generate a sample of nondominated points. — genNDSet","text":"data frame p+1 columns (last one indicate dominated ).","code":""},{"path":"http://relund.github.io/gMOIP/reference/genNDSet.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Generate a sample of nondominated points. — genNDSet","text":"3D plot 3D plot 3D plot 3D plot 3D plot","code":"# \\donttest{ ## Random range <- matrix(c(1,100, 50, 100, 10, 50), ncol = 2, byrow = TRUE) pts <- genNDSet(3, 5, range = range, random = TRUE, keepDom = TRUE) head(pts) #>   z1 z2 z3    nd #> 1 59 87 24 FALSE #> 2 82 69 38 FALSE #> 3 11 92 40 FALSE #> 4 55 94 41 FALSE #> 5 12 68 22  TRUE #> 6 13 67 29  TRUE Rfast::colMinsMaxs(as.matrix(pts[, 1:3])) #>     [,1] [,2] [,3] #> min    1   63   19 #> max   82   94   45 ini3D(FALSE, argsPlot3d = list(xlim = c(min(pts[,1])-2,max(pts[,1])+10),   ylim = c(min(pts[,2])-2,max(pts[,2])+10),   zlim = c(min(pts[,3])-2,max(pts[,3])+10))) plotPoints3D(pts[,1:3]) plotPoints3D(pts[pts$nd,1:3], argsPlot3d = list(col = \"red\", size = 10)) plotCones3D(pts[pts$nd,1:3], argsPolygon3d = list(alpha = 1)) finalize3D() 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}  ## Between planes range <- matrix(c(1,10000, 1,10000), ncol = 2, byrow = TRUE) pts <- genNDSet(2, 50, range = range, planes = TRUE, classify = TRUE) head(pts) #>     z1   z2   nd    se   sne   us cls #> 1 2911 5190 TRUE FALSE FALSE TRUE  us #> 2  794 7243 TRUE FALSE FALSE TRUE  us #> 3 1219 6913 TRUE FALSE FALSE TRUE  us #> 4 6049 2438 TRUE FALSE FALSE TRUE  us #> 5 7423  853 TRUE FALSE FALSE TRUE  us #> 6 3917 4157 TRUE FALSE FALSE TRUE  us Rfast::colMinsMaxs(as.matrix(pts[, 1:2])) #>     [,1] [,2] #> min   11   17 #> max 9485 9059 plot(pts[, 1:2])   range <- matrix(c(1,100, 50,100, 10, 50), ncol = 2, byrow = TRUE) center <- rowMeans(range) planeU <- c(rep(1, 3), -1.2*sum(rowMeans(range))) planeL <- c(rep(1, 3), -0.8*sum(rowMeans(range))) pts <- genNDSet(3, 50, range = range, planes = TRUE, keepDom = TRUE, classify = TRUE,    argsPlanes = list(center = center, planeU = planeU, planeL = planeL)) head(pts) #>   z1 z2 z3    nd    se   sne   us cls #> 1 53 73 20 FALSE FALSE FALSE TRUE   d #> 2 49 97 14 FALSE FALSE FALSE TRUE   d #> 3 71 72 27 FALSE FALSE FALSE TRUE   d #> 4 68 62 24 FALSE FALSE FALSE TRUE   d #> 5 76 58 27 FALSE FALSE FALSE TRUE   d #> 6 20 76 35 FALSE FALSE FALSE TRUE   d Rfast::colMinsMaxs(as.matrix(pts[, 1:3])) #>     [,1] [,2] [,3] #> min    1   50   10 #> max  100  100   50 ini3D(FALSE, argsPlot3d = list(xlim = c(min(pts[,1])-2,max(pts[,1])+10),   ylim = c(min(pts[,2])-2,max(pts[,2])+10),   zlim = c(min(pts[,3])-2,max(pts[,3])+10),   box = TRUE, axes = TRUE)) plotPoints3D(pts[,1:3]) plotPoints3D(pts[pts$nd,1:3], argsPlot3d = list(col = \"red\", size = 10)) rgl::planes3d(planeL[1], planeL[2], planeL[3], planeL[4], alpha = 0.5) rgl::planes3d(planeU[1], planeU[2], planeU[3], planeU[4], alpha = 0.5) 3D plot  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gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 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mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}finalize3D()   ## On a sphere ini3D() range <- c(1,100) cent <- rep(range[1] + (range[2]-range[1])/2, 3) pts <- genNDSet(3, 20, range = range, sphere = TRUE, keepDom = TRUE,        argsSphere = list(center = cent)) rgl::spheres3d(cent, radius=49.5, color = \"grey100\", alpha=0.1) plotPoints3D(pts) plotPoints3D(pts[pts$nd,], argsPlot3d = list(col = \"red\", size = 10)) rgl::planes3d(cent[1],cent[2],cent[3],-sum(cent^2), alpha = 0.5, col = \"red\") 3D plot  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\\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}finalize3D()  ini3D() cent <- c(100,100,100) r <- 75 planeC <- c(cent+r/3) planeC <- c(planeC, -sum(planeC^2)) pts <- genNDSet(3, 20, keepDom = TRUE,   argsSphere = list(center = cent, radius = r, below = FALSE, plane = planeC, factor = 6)) rgl::spheres3d(cent, radius=r, color = \"grey100\", alpha=0.1) plotPoints3D(pts) plotPoints3D(pts[pts$nd,], argsPlot3d = list(col = \"red\", size = 10)) rgl::planes3d(planeC[1],planeC[2],planeC[3],planeC[4], alpha = 0.5, col = \"red\") 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - 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float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    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float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - 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Currently following arguments supported: argsPlanes: list arguments generating points planes cube defined range: center: point planes (default rowMeans(range)). planeU: upper plane (default c(rep(1, p), -1.2*sum(center))). planeL: lower plane (default c(rep(1, p), -0.8*sum(center))). argsSphere: list arguments generating points sphere: radius: radius sphere. center: center sphere. plane: plane used. : Either true (generate points plane), false (generate points plane) NULL (generated whole sphere). factor: using plane. factor multiply n , generate enough points /plane. closeToPlane: TRUE return points close plane. argsBox: list arguments generating points inside boxes: intervals: Number intervals split length range . , range divided intervals (sub)intervals lowest/highest subrange used. cor: correlate indices. 'idxAlt' alternate intervals (high/low) dimension. instance p = 3 first dimension high interval range second low interval range third high interval range . idxRand choose low/high interval range dimension based prHigh. idxSplit select floor(p/2):ceiling(p/2) dimensions high interval range low interval range. prHigh: Probability choosing high interval range dimension.","code":""},{"path":"http://relund.github.io/gMOIP/reference/genSample.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Generate a sample of points in dimension $p$. — genSample","text":"matrix p columns.","code":""},{"path":"http://relund.github.io/gMOIP/reference/genSample.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Generate a sample of points in dimension $p$. — genSample","text":"Note ranges different length using sphere method, make sense. best option properly use center radius . Moreover, higher p may use larger radius half desired interval range.","code":""},{"path":"http://relund.github.io/gMOIP/reference/genSample.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Generate a sample of points in dimension $p$. — genSample","text":"3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot","code":"### Using random ## p = 2 range <- matrix(c(1,100, 50,100), ncol = 2, byrow = TRUE ) pts <- genSample(2, 1000, range = range, random = TRUE) head(pts) #>      z1 z2 #> [1,] 57 92 #> [2,] 29 54 #> [3,] 28 96 #> [4,] 96 72 #> [5,] 65 89 #> [6,] 76 59 Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] #> min    1   50 #> max  100  100 plot(pts)   # \\donttest{ ## p = 3 range <- matrix(c(1,100, 50,100, 10,50), ncol = 2, byrow = TRUE ) ini3D() pts <- genSample(3, 1000, range = range, random = TRUE) head(pts) #>       z1 z2 z3 #> [1,] 100 75 10 #> [2,]  35 87 21 #> [3,]  11 55 30 #> [4,]  62 69 28 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LUM7GFFDIDFQChVNDkpRLUVaG01TGVI9JCViF0w/JhtVFCI0GR9W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\\nmZiYPgAAgD8AAAABAQEBAAAAAAAAAQ==\"}]},\"context\":{\"shiny\":false,\"rmarkdown\":null},\"vertexShader\":\"#line 2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# }  ## other p p <- 10 range <- c(1,100) pts <- genSample(p, 1000, range = range, random = TRUE) head(pts) #>      z1 z2 z3 z4 z5 z6 z7 z8 z9 z10 #> [1,] 11 61 34 92 59 73 20 67  5   4 #> [2,]  3 99 38 63 34 99 38 46 93  64 #> [3,] 63 44 49 92 60 96 32 24 39  92 #> [4,] 31 12  2 13 19 83 19 73 33  72 #> [5,]  2 12 55 44 31 50 82 19 79  98 #> [6,] 32 94 89 62 18 98 95 67 94  60 Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] #> min    1    1    1    1    1    1    1    1    1     1 #> max  100  100  100  100  100  100  100  100  100   100   ### Using planes ## p = 2 range <- matrix(c(1,100, 50,100), ncol = 2, byrow = TRUE ) center <- rowMeans(range) planeU <- c(rep(1, 2), -1.5*sum(rowMeans(range))) planeL <- c(rep(1, 2), -0.7*sum(rowMeans(range))) pts <- genSample(2, 1000, range = range, planes = TRUE,    argsPlanes = list(center = center, planeU = planeU, planeL = planeL)) head(pts) #>      z1  z2 #> [1,] 80  88 #> [2,] 47  55 #> [3,] 52  96 #> [4,] 70  64 #> [5,] 17  78 #> [6,] 15 100 Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] #> min    1   50 #> max  100  100 plot(pts)   # \\donttest{ ## p = 3 range <- matrix(c(1,100, 50,100, 10, 50), ncol = 2, byrow = TRUE ) center <- rowMeans(range) planeU <- c(rep(1, 3), -1.2*sum(rowMeans(range))) planeL <- c(rep(1, 3), -0.6*sum(rowMeans(range))) pts <- genSample(3, 1000, range = range, planes = TRUE,    argsPlanes = list(center = center, planeU = planeU, planeL = planeL)) head(pts) #>      z1 z2 z3 #> [1,] 38 97 49 #> [2,]  2 91 23 #> [3,] 35 62 26 #> [4,]  2 56 49 #> [5,] 82 56 44 #> [6,] 50 81 22 Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] [,3] #> min    1   50   10 #> max  100  100   50 ini3D(argsPlot3d = list(box = TRUE, axes = TRUE)) plotPoints3D(pts) rgl::planes3d(planeL[1], planeL[2], planeL[3], planeL[4], alpha = 0.5) rgl::planes3d(planeU[1], planeU[2], planeU[3], planeU[4], alpha = 0.5) 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# }   ### Using sphere ## p = 2 range <- c(1,100) cent <- rep(range[1] + (range[2]-range[1])/2, 2) pts <- genSample(2, 1000, range = range) dim(pts) #> [1] 1000    2 Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] #> min    1    1 #> max   85   85 plot(pts, asp=1) abline(sum(cent^2)/cent[1], -cent[2]/cent[1])   cent <- c(100,100) r <- 75 planeC <- c(cent+r/3) planeC <- c(planeC, -sum(planeC^2)) pts <- genSample(2, 100,   argsSphere = list(center = cent, radius = r, below = FALSE, plane = planeC, factor = 6)) dim(pts) #> [1] 100   2 Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] #> min   79   83 #> max  175  175 plot(pts, asp=1) abline(-planeC[3]/planeC[1], -planeC[2]/planeC[1])   pts <- genSample(2, 100, argsSphere = list(center = cent, radius = r, below = NULL)) dim(pts) #> [1] 100   2 Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] #> min   25   25 #> max  175  175 plot(pts, asp=1)   # \\donttest{ ## p = 3 ini3D() range <- c(1,100) cent <- rep(range[1] + (range[2]-range[1])/2, 3) pts <- genSample(3, 1000, range = range) dim(pts) #> [1] 1000    3 Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] [,3] #> min    1    1    1 #> max   90   90   90 rgl::spheres3d(cent, radius=49.5, color = \"grey100\", alpha=0.1) plotPoints3D(pts) 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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}finalize3D()  ini3D() cent <- c(100,100,100) r <- 75 planeC <- c(cent+r/3) planeC <- c(planeC, -sum(planeC^2)) pts <- genSample(3, 100,   argsSphere = list(center = cent, radius = r, below = FALSE, plane = planeC, factor = 6)) rgl::spheres3d(cent, radius=r, color = \"grey100\", alpha=0.1) plotPoints3D(pts) rgl::planes3d(planeC[1],planeC[2],planeC[3],planeC[4], alpha = 0.5, col = \"red\") 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float 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(point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}finalize3D()  ini3D() pts <- genSample(3, 10000, argsSphere = list(center = cent, radius = r, below = NULL)) Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] [,3] #> min   25   25   25 #> max  175  175  175 rgl::spheres3d(cent, radius=r, color = \"grey100\", alpha=0.1) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 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mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        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if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPoints3D(pts) finalize3D() 3D plot  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Y1+CoYSLZySv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\\nAQEBAAAAAAAAAQ==\"}]},\"context\":{\"shiny\":false,\"rmarkdown\":null},\"vertexShader\":\"#line 2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# }  ## Other p p <- 10 cent <- rep(0,p) r <- 100 pts <- genSample(p, 100000, argsSphere = list(center = cent, radius = r, below = NULL)) head(pts) #>       z1  z2  z3 z4  z5  z6  z7  z8  z9 z10 #> [1,] -33  -4  67 51  21  -9 -33   5 -16   1 #> [2,]  -5 -46   7 37   9  24  69 -26 -18 -11 #> [3,]  11 -21  33 15 -19  -9 -14  71  48 -12 #> [4,] -56  -2 -43 15  57 -29 -12 -10 -17  10 #> [5,]   8 -57  19 46  45  -1 -23 -32   0 -25 #> [6,]  70  12   6 -6  19  11  -9  55  24  28 Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] #> min  -93  -93  -94  -92  -94  -92  -92  -93  -92   -93 #> max   92   93   95   94   98   93   96   95   93    94 apply(pts,1, function(x){sqrt(sum((x-cent)^2))}) # test should be approx. equal to radius #>      [1] 100.43904 100.48881 100.01500  99.68450  99.97000 100.31949  99.95499 #>      [8]  99.82485 100.21976 100.26964 100.38426 100.00500 100.25966 100.23472 #>     [15] 100.14490 100.32447 100.46392 100.17984 100.46392 100.22475  99.88493 #>     [22] 100.05498  99.65942  99.54898 100.08496  99.44848 100.45895 100.20978 #>     [29] 100.27961 100.18483 100.33942 100.13491  99.95499 100.25468  99.95499 #>     [36] 100.73232  99.53894 100.02000 100.17984  99.66945 100.14989 100.19980 #>     [43]  99.69955  99.90495 100.05998  99.84488 100.11493  99.95499 100.08996 #>     [50] 100.79683 100.06998  99.73966  99.78477 100.24969 100.15488 100.47885 #>     [57]  99.97000  99.45853 100.10494  99.83987 100.10494  99.93498  99.99000 #>     [64] 100.13491 100.25468  99.62931 100.29955  99.84989 100.44401 100.12492 #>     [71]  99.75971 100.22974 100.06498 100.41912  99.81984  99.61426 100.27462 #>     [78]  99.94999 100.70750  99.52387  99.68450 100.20978  99.65440 100.08996 #>     [85] 100.33444 100.20479 100.42410 100.04499 100.30952 100.04499 100.17984 #>     [92] 100.34939 100.13491  99.34787 100.40418  99.91496  99.77976 100.01500 #>     [99]  99.90996 100.03999  99.42334  99.88493 100.15488 100.06498  99.92497 #>    [106]  99.90996  99.98000 100.25966  99.52387 100.38426 100.14490 100.49876 #>    [113] 100.38924 100.21477 100.31949 100.14989  99.54898 100.08496 100.28460 #>    [120]  99.84989 100.42410 100.16986 100.05498  99.62429 100.15488 100.44899 #>    [127]  99.73465  99.57911 100.62803 100.10494  99.71961 100.10994 100.30454 #>    [134] 100.06498 100.27462  99.44848 100.19481 100.12992 100.10494 100.50871 #>    [141] 100.14490 100.05998 100.12492  99.77976 100.21477 100.06998  99.86992 #>    [148] 100.03499  99.78978 100.09995 100.01000 100.16486  99.98000  99.87993 #>    [155] 100.36932  99.91496  99.49874 100.39422 100.40418 100.39920 100.09995 #>    [162]  99.93998  99.93998  99.69453 100.17485 100.70253  99.71961 100.19980 #>    [169]  99.05554  99.78978  99.68450  99.44345 100.20479 100.26465  99.68952 #>    [176] 100.15488  99.36800  99.65440 100.33942 100.10494 100.25966 100.03499 #>    [183] 100.29457 100.30952 100.03000  99.87492 100.21976  99.93498 100.16986 #>    [190]  99.83486 100.17485  99.81984 100.20479  99.69453  99.85990 100.05498 #>    [197]  99.90996 100.07997 100.51368 100.13491 100.15987 100.21477 100.38924 #>    [204] 100.23971 100.18982 100.34441  99.69453 100.53855  99.88493  99.79479 #>    [211] 100.62306 100.05998 100.43904  99.78978 100.07497 100.13990  99.72462 #>    [218]  99.64939  99.72462  99.89995  99.58414  99.62931 100.00000 100.04999 #>    [225] 100.36932  99.85489 100.07497 100.21477 100.14490  99.76973  99.84989 #>    [232] 100.38426  99.72963 100.69757 100.18483  99.86992  99.66444  99.81483 #>    [239]  99.75971  99.91496  99.73465 100.09495  99.82986 100.05498  99.86491 #>    [246] 100.03000  99.96499 100.63797  99.80481  99.70958  99.96499  99.53894 #>    [253] 100.18982 100.15488 100.29457 100.24470  99.93498  99.99000  99.77475 #>    [260] 100.76706  99.44345 100.43406  99.97000  99.98000 100.29457  99.98000 #>    [267]  99.93498 100.33444 100.42410 100.01000  99.63433  99.89494 100.49378 #>    [274] 100.00500 100.01500  99.41328  99.77475  99.51884  99.59920  99.97000 #>    [281]  99.46356 100.69757 100.36434 100.15488 100.36434  99.54898  99.91496 #>    [288] 100.28460 100.04999  99.95999 100.17485  99.80982 100.24470 100.12992 #>    [295] 100.33942 100.07497  99.98500 100.27961 100.23971 100.10994 100.18483 #>    [302] 100.10494  99.49372 100.03000  99.75971  99.99500  99.91496  99.89995 #>    [309] 100.25468 100.08996  99.98500 100.00500  99.49372  99.77976  99.65440 #>    [316] 100.09995 100.28460 100.31451 100.18982  99.70958 100.09995 100.45397 #>    [323] 100.16486  99.71459 100.62803 100.03499 100.31949 100.04499  99.71459 #>    [330]  99.45351  99.70958 100.24969 100.08996 100.04999  99.78978  99.81984 #>    [337]  99.94498 100.32447  99.97000  99.72963  99.68952  99.72462 100.10994 #>    [344] 100.20978  99.68952 100.17984  99.95999  99.94999  99.68450  99.78477 #>    [351] 100.02000 100.05498  99.99000  99.62429 100.19481  99.73966  99.95999 #>    [358]  99.71459  99.77976 100.52363  99.73966  99.80982 100.03000 100.26465 #>    [365] 100.17984  99.30257 100.35935 100.64293 100.49876  99.59418 100.25966 #>    [372] 100.40418 100.06998 100.08496  99.16148  99.88493  99.72963 100.26465 #>    [379]  99.84989 100.06498 100.26465  99.51382 100.29955 100.40418  99.52387 #>    [386]  99.92497  99.84989 100.21477 100.06498 100.23971 100.13491 100.26465 #>    [393] 100.53855 100.41912  99.93498  99.53391  99.94498 100.60815  99.69453 #>    [400]  99.81984  99.79980  99.71961  99.48367 100.00500 100.07997 100.28460 #>    [407]  99.88493 100.22475 100.04499 100.19481  99.74467 100.14490  99.97000 #>    [414] 100.50871  99.79479  99.72963 100.08496  99.86992 100.17485 100.04499 #>    [421]  99.63433 100.13990 100.32946 100.35437 100.05998 100.03000  99.84488 #>    [428] 100.25966 100.16486 100.23971 100.60318  99.96499 100.09995  99.66444 #>    [435] 100.00000  99.93498  99.67447  99.72462  99.86491  99.90495 100.12492 #>    [442] 100.55844  99.52889  99.75470  99.64437 100.08996 100.14490  99.79479 #>    [449] 100.38426 100.01500  99.92998 100.21976  99.75971 100.49876  99.42334 #>    [456] 100.56838 100.17984 100.20978  99.76973 100.18982 100.32447  99.79980 #>    [463]  99.61426 100.12992 100.07997 100.19481  99.69453  99.92497 100.01500 #>    [470]  99.56907  99.99500  99.88493  99.79479 100.00000 100.23472  99.63935 #>    [477] 100.30454  99.77976 100.12492  99.92998  99.75971  99.75470 100.23472 #>    [484] 100.29955 100.04999 100.69757  99.68952  99.83486 100.06998 100.00500 #>    [491] 100.09495 100.47885  99.71459  99.92998  99.31767  99.96499 100.12492 #>    [498] 100.29457  99.92998 100.35935 100.14490  99.63433 100.06498 100.20479 #>    [505] 100.17984 100.25468  99.84488 100.19980 100.08496  99.84488  99.61928 #>    [512]  99.57911 100.21976 100.09995  99.56907  99.70958 100.12492  99.54396 #>    [519] 100.15987  99.97500 100.07997 100.00000  99.88994  99.78978 100.13990 #>    [526] 100.08996 100.27462 100.04499  99.75971  99.64437  99.91997 100.23472 #>    [533]  99.99500  99.67949 100.48383 100.23472  99.78477  99.64437 100.17485 #>    [540]  99.97000 100.15488  99.88493  99.84989 100.83650 100.33444  99.91496 #>    [547] 100.20479  99.52387 100.13990  99.95499 100.03499  99.44848  99.94999 #>    [554] 100.65784  99.82986 100.12992  99.74467  99.63433  99.85489 100.15488 #>    [561] 100.26964 100.13990 100.69260  99.85990 100.07997 100.44899 100.33942 #>    [568]  99.73966 100.02500 100.28460  99.93498  99.81984  99.65440  99.66945 #>    [575] 100.11493  99.91997 100.54352 100.33942 100.25966 100.24470  99.89494 #>    [582] 100.22974 100.01000 100.05498 100.34939 100.38426  99.81984 100.58330 #>    [589] 100.12492 100.40418 100.31451  99.95499  99.73465  99.60422  99.95499 #>    [596] 100.10494 100.01000  99.97500  99.44848  99.59418 100.25468  99.49874 #>    [603] 100.06498 100.15488  99.73465 100.31949  99.94498 100.00000 100.31949 #>    [610]  99.61426 100.22974  99.69955  99.72462 100.45397  99.86491  99.96499 #>    [617]  99.82485  99.93998 100.04999  99.72963 100.08496  99.87492  99.83987 #>    [624] 100.10494  99.97000 100.45397 100.09495 100.14989 100.26465  99.94498 #>    [631] 100.33942  99.44345 100.31451  99.97500  99.66945 100.20479 100.68764 #>    [638] 100.23971  99.92497  99.62429 100.17485  99.62429 100.36434  99.73966 #>    [645]  99.71961  99.74467  99.77976  99.73465  99.45351 100.26964 100.26465 #>    [652] 100.18483 100.00500  99.87993  99.93498 100.29955 100.28958  99.89995 #>    [659] 100.39422 100.01500  99.80982  99.87492 100.13990  99.80982  99.71459 #>    [666]  99.68450 100.27961 100.07997 100.03499 100.07497 100.25966  99.51884 #>    [673]  99.80481  99.79479 100.17984 100.18982  99.83486  99.80982 100.15987 #>    [680] 100.11993 100.30454 100.57336  99.60924 100.21976  99.76973 100.11993 #>    [687] 100.42410  99.90996 100.34939  99.86992  99.92497  99.63433  99.77475 #>    [694] 100.41414  99.94498  99.95999  99.51884 100.59324 100.16486 100.45895 #>    [701] 100.13491 100.37928 100.42410 100.29955 100.23971 100.03999  99.95499 #>    [708]  99.32271 100.03999 100.36932  99.65440  99.88493  99.58916  99.85990 #>    [715]  99.89494  99.65942 100.08496 100.21477  99.69955  99.70958  99.90996 #>    [722] 100.27462  99.83987  99.41328  99.91496  99.83486 100.21976 100.23472 #>    [729]  99.82485  99.88994  99.88493  99.76973 100.10494 100.33942  99.41831 #>    [736] 100.15987 100.04999  99.97000 100.25468  99.79980 100.47388  99.92497 #>    [743] 100.49876  99.92497 100.40916  99.60422 100.11493  99.86992  99.95999 #>    [750] 100.19980  99.51382  99.61928  99.93498 100.03000 100.18483  99.62429 #>    [757] 100.21976 100.14989  99.93998  99.87993  99.77475  99.87492 100.07997 #>    [764]  99.87993 100.86129  99.70958  99.56405 100.10494 100.05998 100.72239 #>    [771]  99.90495  99.37807 100.16486 100.21976 100.42410 100.01000  99.88493 #>    [778]  99.92497 100.06998  99.93498 100.38426 100.05998 100.34441  99.87993 #>    [785]  99.93498  99.67949  99.63433 100.13491  99.93498 100.31451  99.93998 #>    [792]  99.84989 100.07497 100.37928  99.48367  99.55903 100.23971 100.16986 #>    [799] 100.33942 100.13491 100.31949  99.69955 100.50871 100.19481 100.05498 #>    [806]  99.54396  99.62931 100.15987  99.87492 100.06498 100.05498  99.95499 #>    [813] 100.02000 100.10994 100.48383 100.08496  99.66444 100.36434  99.73966 #>    [820]  99.94999  99.89995 100.10994  99.68450  99.64939  99.94498 100.36434 #>    [827]  99.47864 100.10994  99.60924 100.19980  99.83987 100.06498  99.94999 #>    [834]  99.84989 100.01000 100.31949  99.85990  99.84989 100.13990  99.68952 #>    [841] 100.07997  99.56405 100.16486  99.76973  99.82986 100.08996 100.25468 #>    [848]  99.82986  99.94999  99.64939  99.93998  99.51382 100.18483  99.59418 #>    [855]  99.65942  99.96499 100.23971  99.68450  99.85990  99.94498  99.56907 #>    [862] 100.21477 100.40418 100.70750 100.31949 100.29955  99.57911  99.71459 #>    [869] 100.21477 100.08496 100.55347  99.74467 100.24969  99.94999  99.82485 #>    [876] 100.27462  99.73966  99.75971  99.96499  99.82986  99.96499  99.85990 #>    [883] 100.08496 100.43904  99.65440  99.85990  99.58916  99.69955  99.44345 #>    [890] 100.18982  99.67949  99.98500 100.37928  99.89494 100.48881 100.03999 #>    [897] 100.57833  99.77976  99.77475 100.11493 100.20479  99.56405  99.99000 #>    [904] 100.50373  99.82485 100.23971 100.06498 100.22475  99.65942  99.63433 #>    [911] 100.25966  99.96499  99.53391 100.05498  99.90495 100.00500  99.84488 #>    [918]  99.80982  99.92497  99.74969  99.98000 100.07497  99.86491 100.40916 #>    [925]  99.85489  99.53894 100.41912 100.45397 100.09495 100.00500  99.33277 #>    [932]  99.38310  99.18669 100.07997 100.29457  99.78978  99.99500 100.11493 #>    [939] 100.13491  99.93498 100.01000 100.10994 100.18982 100.35437  99.82986 #>    [946] 100.47388 100.10994  99.83987 100.08996  99.92497 100.04999 100.49876 #>    [953]  99.75470  99.52387  99.48367  99.91496 100.13491  99.97500 100.16486 #>    [960]  99.72462 100.00500  99.98000 100.04999  99.46859 100.18483 100.29457 #>    [967] 100.63300  99.36800 100.27961 100.46392 100.17485 100.16486 100.37430 #>    [974]  99.81984  99.87492  99.75971 100.07997 100.13491 100.22475  99.61928 #>    [981] 100.37430  99.66444  99.36800 100.29457  99.92497  99.29753  99.85489 #>    [988] 100.17984  99.50879 100.02000 100.12992 100.37928 100.58827 100.39920 #>    [995] 100.32946 100.02500 100.14989  99.74969 100.02500 100.15488  99.82485 #>   [1002]  99.82986 100.38426  99.90495  99.89494  99.71459  99.86491  99.99000 #>   [1009]  99.88994 100.35935 100.02500 100.12992  99.90996  99.93498  99.69453 #>   [1016]  99.72462 100.03499 100.05998  99.97000 100.30454 100.21477  99.76973 #>   [1023]  99.99500 100.12992  99.97000  99.72462 100.26964 100.02000 100.47885 #>   [1030]  99.81483 100.04999 100.03999  99.70456  99.87492  99.69955 100.17984 #>   [1037]  99.72963 100.17984 100.04499  99.92998 100.41414 100.54352  99.57409 #>   [1044]  99.46356 100.34441 100.06498 100.03999  99.65440 100.42908 100.65287 #>   [1051]  99.66444 100.09995 100.17984 100.15987  99.87492 100.31451  99.18669 #>   [1058] 100.21477  99.92998 100.26964  99.65942 100.20479 100.42908  99.72462 #>   [1065] 100.23971 100.24470 100.17485  99.69453 100.56341  99.74467  99.77475 #>   [1072]  99.70958  99.66444 100.36434 100.18483  99.73966 100.06998 100.36434 #>   [1079]  99.95499  99.96499 100.38924  99.60924 100.08996  99.64437  99.91496 #>   [1086]  99.58916 100.52860  99.57409  99.49372 100.28460  99.94498 100.25468 #>   [1093] 100.14490  99.94999 100.14490 100.30454 100.55844  99.74467 100.12492 #>   [1100] 100.05498  99.70958 100.10994 100.20479 100.17485 100.16986 100.13990 #>   [1107]  99.88994  99.83486  99.82986 100.12492  99.86992  99.71961 100.03000 #>   [1114] 100.28958  99.97000  99.53391  99.91496  99.54898 100.04499 100.15488 #>   [1121] 100.37928  99.39819  99.86992 100.35935  99.62931  99.66945 100.38426 #>   [1128] 100.14490 100.10494  99.71459  99.97000 100.00000 100.00000  99.96499 #>   [1135] 100.01000 100.25966  99.67447 100.23472 100.21976  99.95499 100.13990 #>   [1142] 100.06498  99.70958  99.91496  99.71961  99.50377 100.37430  99.87993 #>   [1149]  99.74969  99.93498 100.79683  99.79980  99.48869  99.68450  99.90495 #>   [1156] 100.36932 100.05498  99.82485  99.71961  99.91496  99.86491 100.59324 #>   [1163]  99.58916 100.14989  99.56907 100.39920 100.33942  99.76472  99.81984 #>   [1170]  99.85990  99.91496  99.49874 100.09995  99.74969  99.46356 100.42908 #>   [1177] 100.20978  99.73465 100.24470 100.35935  99.49874 100.07497  99.51884 #>   [1184]  99.76973  99.79479 100.28460  99.95999 100.57336  99.98500 100.22974 #>   [1191] 100.46392  99.74467 100.27961 100.09995  99.88493 100.23971 100.48383 #>   [1198] 100.34441  99.96499  99.78978 100.19481 100.40916 100.46890 100.19481 #>   [1205]  99.42837  99.49874 100.07497  99.45351  99.62931 100.28460 100.00500 #>   [1212] 100.16986  99.68450  99.74969 100.10994  99.74969 100.13491  99.70456 #>   [1219] 100.03999  99.90996 100.26465 100.04499 100.20479  99.68952 100.01000 #>   [1226] 100.18483  99.93998 100.42410 100.16486  99.97000 100.34939  99.78978 #>   [1233]  99.94498 100.17485  99.95999 100.11993 100.23472  99.89995 100.05998 #>   [1240]  99.77475 100.24470  99.85489  99.64939  99.67447  99.94498  99.83486 #>   [1247]  99.48367 100.35935  99.89494 100.03999 100.03499 100.13990 100.01500 #>   [1254] 100.10494  99.81483 100.06498  99.95499  99.87993 100.30952  99.72462 #>   [1261]  99.99500  99.85489 100.20978  99.44345 100.42410 100.02500  99.94498 #>   [1268]  99.49874 100.39920  99.81483  99.96499 100.11493 100.80179 100.13990 #>   [1275]  99.88493 100.31451  99.95499  99.83486 100.43904  99.91496  99.66444 #>   [1282] 100.46392  99.64939  99.59920 100.02000  99.85990 100.17485  99.88994 #>   [1289]  99.53894  99.37807  99.79980  99.73465 100.49378  99.89995  99.40825 #>   [1296]  99.93498 100.07497 100.07497 100.10994 100.40916  99.98000  99.35794 #>   [1303] 100.22974 100.04999 100.20479 100.31949 100.07497 100.08496 100.32447 #>   [1310]  99.59920 100.05998  99.91997 100.39920  99.59920 100.30454  99.77475 #>   [1317] 100.46890 100.07997  99.84488  99.74467  99.69453  99.91496  99.88994 #>   [1324] 100.21976 100.12992  99.41328 100.07497 100.00000  99.93498  99.81984 #>   [1331] 100.03499 100.23472 100.24470  99.88493  99.88493 100.41414 100.06498 #>   [1338]  99.57409  99.44345 100.25966 100.29457  99.85990 100.19980 100.02500 #>   [1345] 100.12492 100.28958 100.33444  99.87993  99.53894 100.13990 100.07997 #>   [1352] 100.29457 100.41912  99.85990 100.05498  99.61426 100.39422 100.60318 #>   [1359] 100.08996 100.22475  99.97000 100.38924 100.16986 100.14989 100.13491 #>   [1366]  99.43842 100.51865 100.13491  99.93998  99.95999  99.81984  99.63433 #>   [1373] 100.32946 100.54352 100.14490 100.42410  99.86992 100.14490 100.13990 #>   [1380] 100.02000 100.14989 100.40418  99.81984  99.88994 100.10994  99.88493 #>   [1387] 100.82162 100.00500 100.27462  99.97500  99.52387 100.36434  99.74467 #>   [1394] 100.16986  99.88493  99.85990 100.11993 100.66777 100.35437 100.02000 #>   [1401] 100.19481 100.31451  99.40825  99.40825 100.03000  99.88493 100.56341 #>   [1408] 100.41912 100.12992 100.18982  99.94999 100.09995 100.30952  99.50377 #>   [1415] 100.05498  99.97500 100.21976  99.86992 100.12992 100.18483 100.61809 #>   [1422]  99.81483  99.68952 100.38924  99.95999  99.76472 100.49876  99.73966 #>   [1429]  99.66945 100.17984 100.28958 100.19980  99.88994  99.87993  99.86491 #>   [1436]  99.96499  99.76973  99.96499  99.99000  99.07573  99.65942 100.11493 #>   [1443] 100.19980  99.55401  99.95499 100.21976 100.04999 100.35935 100.11993 #>   [1450] 100.10994 100.10994  99.64437  99.84488  99.93998  99.67949  99.75971 #>   [1457]  99.53894  99.87993  99.90495 100.29955 100.23472 100.02000  99.97000 #>   [1464] 100.01000  99.61426 100.36434  99.77976  99.95499 100.28958  99.68450 #>   [1471]  99.68450  99.58414  99.79479 100.00500 100.13491 100.08496 100.22974 #>   [1478]  99.91496 100.47885  99.91997  99.70958  99.98500  99.77976  99.71459 #>   [1485]  99.96499 100.12492 100.40916 100.15488  99.82986  99.65440 100.04999 #>   [1492] 100.52860 100.14490  99.51382  99.90996  99.89995 100.15488  99.81984 #>   [1499] 100.04499 100.19481 100.18483  99.99000 100.41912  99.98000  99.98500 #>   [1506] 100.22974  99.81984 100.33444  99.56405  99.88994 100.13491 100.14989 #>   [1513] 100.06998  99.84989 100.28958 100.42908  99.50879  99.91997  99.74969 #>   [1520] 100.08996  99.66444  99.85489 100.13990  99.67447  99.95999 100.29955 #>   [1527] 100.08996 100.20978 100.33444 100.51865 100.36434 100.49378  99.75971 #>   [1534] 100.04499  99.54898  99.43339  99.62429 100.51865  99.75470  99.88493 #>   [1541] 100.14989  99.19173  99.88493  99.61928 100.29457 100.05498 100.06998 #>   [1548]  99.67949 100.31451 100.20479 100.45397  99.69955 100.24969 100.29955 #>   [1555]  99.86992  99.98000 100.11993  99.92497 100.41912  99.72462  99.61426 #>   [1562] 100.16986  99.93998 100.08496  99.88994 100.24470  99.86491  99.93498 #>   [1569]  99.89494  99.95499 100.27462  99.89995 100.20479 100.00000  99.79479 #>   [1576] 100.09495 100.38426  99.56405 100.00000  99.78477 100.73232 100.51368 #>   [1583] 100.18483 100.28460 100.19980  99.87993 100.23971 100.51368 100.39920 #>   [1590]  99.48869  99.76472 100.03000 100.31949 100.22475  99.47864  99.64939 #>   [1597] 100.16486  99.42837 100.09995  99.45853 100.01500 100.43904 100.12992 #>   [1604]  99.98500 100.19481 100.25468  99.82986  99.79479  99.71961 100.13990 #>   [1611] 100.00500  99.90495 100.16486  99.83486  99.76973  99.88994  99.68450 #>   [1618] 100.13990 100.01000  99.59418  99.51382 100.50871 100.23472  99.88994 #>   [1625]  99.74969  99.59418 100.25966 100.38924  99.98500  99.29250 100.19980 #>   [1632] 100.11493  99.96499  99.62931  99.59418 100.03999 100.32447 100.11493 #>   [1639] 100.19481  99.42334 100.31451 100.07497  99.86992  99.43842 100.20479 #>   [1646] 100.08996 100.10494  99.75971  99.93998 100.32447  99.78978 100.13990 #>   [1653] 100.28958  99.68952 100.06998  99.66444 100.09495  99.74969  99.55401 #>   [1660] 100.34939 100.14490  99.75971 100.11993 100.24969 100.13491  99.86491 #>   [1667] 100.26964 100.29457 100.30952 100.57833 100.38924 100.15488  99.52387 #>   [1674]  99.78477 100.12492  99.98500 100.02000 100.09995 100.07997  99.55401 #>   [1681]  99.85489 100.42908  99.82485  99.97500 100.39422 100.27961  99.92497 #>   [1688] 100.25468 100.27462  99.88493  99.95499 100.17984 100.83650 100.14490 #>   [1695]  99.80982  99.46356 100.20479 100.13990  99.49372  99.55903 100.16486 #>   [1702] 100.03999  99.69453 100.12492 100.06998 100.25468 100.06998 100.22974 #>   [1709] 100.31949 100.01500  99.86491 100.41912  99.66945 100.20479 100.18982 #>   [1716] 100.52860 100.21976 100.11493  99.96499 100.26964  99.79479 100.09495 #>   [1723] 100.16486 100.73728  99.95499  99.58414  99.43339  99.79479  99.60924 #>   [1730]  99.89995  99.90495  99.76472  99.93498 100.16986  99.75971  99.54898 #>   [1737]  99.59920 100.42908 100.06498 100.56341  99.56907  99.84488 100.07997 #>   [1744] 100.08496  99.89995  99.97500  99.82485 100.35437  99.84488  99.61426 #>   [1751]  99.86992 100.33444 100.04499  99.88493 100.50871  99.97000  99.89494 #>   [1758]  99.70958  99.51382 100.21976 100.03499  99.92998 100.40916 100.25966 #>   [1765]  99.83486 100.26964 100.21976  99.95999 100.48881  99.81984 100.03999 #>   [1772]  99.60924  99.90996  99.89494 100.29457  99.83486 100.38426 100.52860 #>   [1779] 100.01000  99.44848  99.41328  99.73966 100.11493 100.38426  99.39819 #>   [1786]  99.67447 100.29955 100.36434  99.52889  99.57911  99.83486  99.90996 #>   [1793]  99.99500 100.50373  99.91496 100.50373 100.24470  99.92497 100.26964 #>   [1800] 100.07497  99.84488 100.01000 100.33444 100.02500 100.51368 100.26465 #>   [1807]  99.92998 100.03999  99.87993 100.21477  99.60924 100.13491 100.68764 #>   [1814] 100.47388 100.26964 100.10994 100.09995 100.27961 100.23472 100.21477 #>   [1821] 100.23472  99.67949  99.92497  99.81483  99.63935 100.39422  99.57911 #>   [1828] 100.35437 100.36932 100.37928 100.25468 100.01500 100.19481 100.57833 #>   [1835]  99.64939 100.06998  99.94498  99.62429  99.83987 100.00000  99.53894 #>   [1842] 100.46392 100.29955 100.40916 100.23971 100.07997  99.70456  99.58414 #>   [1849] 100.03499 100.26964  99.64939 100.26465  99.74467 100.34441  99.90495 #>   [1856] 100.03999 100.14989  99.96499  99.83486  99.84989 100.00000  99.70456 #>   [1863]  99.83486 100.04999  99.78978 100.07497 100.19481  99.65440  99.86491 #>   [1870] 100.05998  99.72963  99.79479  99.92998  99.63935 100.37430 100.04499 #>   [1877] 100.08496  99.57911  99.87492  99.79980 100.52363 100.05998 100.08996 #>   [1884]  99.33277 100.33942 100.53358 100.01500  99.99000  99.54898  99.61426 #>   [1891]  99.94498 100.24470 100.01500  99.59920  99.55401 100.36434  99.61928 #>   [1898] 100.32946  99.52889 100.24969 100.19481 100.03000  99.76472  99.60924 #>   [1905]  99.82986 100.34441  99.96499 100.09495  99.90495  99.84989  99.89494 #>   [1912]  99.84989 100.11493 100.06498  99.44848  99.92998 100.27462  99.87993 #>   [1919] 100.42410  99.66444  99.79980 100.13491 100.23971 100.40916 100.11993 #>   [1926]  99.80982  99.64437 100.10494  99.64939  99.56405 100.12992 100.14989 #>   [1933]  99.62429  99.50377  99.50879  99.79479 100.39920 100.53358  99.68952 #>   [1940] 100.05498 100.02000  99.93998 100.44401 100.27961 100.33942  99.53894 #>   [1947]  99.52387 100.17984 100.12492  99.78978 100.06998  99.70958  99.76973 #>   [1954]  99.96499 100.40916  99.82485  99.85489 100.03999  99.99500 100.07997 #>   [1961]  99.93998  99.71961 100.51865  99.95999 100.18483 100.10494 100.22974 #>   [1968] 100.24969 100.31949 100.34441  99.45351  99.46859  99.91496  99.61928 #>   [1975] 100.37430 100.22475  99.98000 100.26964  99.53391 100.13491  99.62931 #>   [1982]  99.71961  99.61426  99.68450  99.80481  99.57409  99.83987 100.16986 #>   [1989]  99.81984  99.86491 100.43904 100.26465  99.82986 100.28958  99.55903 #>   [1996] 100.40418  99.80481 100.16986 100.37928  99.99500  99.45853  99.90495 #>   [2003]  99.74969 100.15987 100.30454  99.69955 100.06498 100.40418  99.66444 #>   [2010]  99.55903 100.28460 100.03000 100.12992 100.09495  99.90996  99.89494 #>   [2017]  99.69955 100.13491  99.98000 100.18483 100.04499 100.17485  99.90495 #>   [2024] 100.15987 100.40418 100.19980 100.20479 100.18982 100.14490 100.17485 #>   [2031] 100.01000  99.72462 100.03499 100.17984 100.02000  99.76472 100.18982 #>   [2038] 100.49876 100.26964 100.00000 100.32946 100.07997 100.31451  99.79479 #>   [2045]  99.71459 100.07497 100.44899  99.68952  99.82986  99.98000  99.91496 #>   [2052] 100.17984  99.57409  99.94999  99.98500 100.32447 100.04999  99.79479 #>   [2059]  99.76973  99.99000  99.80982 100.41912 100.40418 100.33444  99.55401 #>   [2066]  99.82485  99.26228 100.13990 100.05498 100.41912 100.16986 100.49876 #>   [2073]  99.19173 100.47388  99.85990 100.62306 100.22974  99.94999  99.43339 #>   [2080]  99.58414 100.01500  99.78477 100.30952 100.34441  99.99000 100.03000 #>   [2087] 100.10494 100.26964  99.89494 100.54850  99.60422 100.28460 100.09495 #>   [2094] 100.25468 100.08996  99.82986 100.07997 100.38924 100.16986 100.15987 #>   [2101] 100.47885  99.76973 100.21976 100.21976  99.67949  99.84989  99.95999 #>   [2108] 100.31949 100.26964  99.84989  99.85489  99.96499  99.54396  99.48869 #>   [2115]  99.88994  99.60422 100.29457  99.73465 100.17984 100.29457  99.93498 #>   [2122] 100.21477  99.99500  99.81984  99.74969 100.03499 100.54850  99.89995 #>   [2129] 100.47885  99.65942  99.80481  99.28746  99.87993  99.72462  99.97000 #>   [2136]  99.94498 100.18982 100.36434 100.65287 100.16986 100.54352 100.60318 #>   [2143]  99.86992  99.84989  99.97000  99.60924  99.86491 100.43904 100.20978 #>   [2150]  99.82986 100.45895 100.22974  99.83987 100.43406  99.85990 100.08496 #>   [2157] 100.00500  99.25724  99.81984 100.05498 100.19980 100.34441  99.48367 #>   [2164] 100.56838  99.73966 100.30952 100.48383 100.17485 100.00000  99.40825 #>   [2171]  99.71459 100.66280 100.47388  99.88493  99.98500  99.88493 100.53855 #>   [2178] 100.00500  99.58414 100.19481 100.28460 100.26465 100.54352  99.82986 #>   [2185] 100.17485  99.66945 100.52363 100.36932 100.01000 100.00000 100.41414 #>   [2192] 100.03999 100.16486  99.85990 100.28958 100.42908 100.46392  99.77976 #>   [2199]  99.69955  99.46859  99.83987  99.62931 100.24470 100.39422  99.67949 #>   [2206] 100.04499  99.69955  99.71961 100.14989 100.13990 100.12992 100.35935 #>   [2213]  99.44345  99.91997 100.31949  99.52387 100.20978  99.97000 100.09995 #>   [2220] 100.27462  99.79980  99.59920 100.34939 100.16486  99.79980  99.91997 #>   [2227] 100.59324 100.09495  99.95499  99.44345 100.03000  99.95999 100.50373 #>   [2234]  99.90495 100.08996 100.13990 100.11493  99.86992 100.05998 100.56838 #>   [2241] 100.31949 100.40418 100.34441 100.27462 100.28460  99.86491  99.93998 #>   [2248] 100.26465  99.63433  99.92497  99.92998 100.31451 100.17984 100.21477 #>   [2255]  99.74969 100.24470  99.98500 100.00000 100.13990  99.90495  99.91997 #>   [2262]  99.93498  99.98000 100.04999  99.74467  99.84989 100.33444  99.92998 #>   [2269] 100.15488 100.47388  99.62931 100.18483 100.03999  99.51884  99.49372 #>   [2276]  99.63433 100.01500  99.61426 100.11993  99.56405 100.03999  99.50879 #>   [2283]  99.82986  99.78477 100.17485 100.32447  99.67949 100.06498 100.06498 #>   [2290]  99.65440  99.82485 100.11493 100.44401 100.18483  99.92497 100.09495 #>   [2297] 100.05998 100.25966 100.08996 100.10494  99.67949  99.51884 100.03000 #>   [2304]  99.64939 100.17984 100.09495  99.78978  99.79980  99.18165 100.21477 #>   [2311] 100.32946 100.25966  99.98500 100.20978 100.03499  99.93498  99.76973 #>   [2318] 100.05498 100.39920  99.90495 100.02000  99.53894  99.92497 100.57336 #>   [2325]  99.88493  99.98500  99.71961  99.78978 100.11493 100.34441 100.09995 #>   [2332]  99.31767  99.94498 100.01000 100.14490  99.84488  99.70958  99.91997 #>   [2339]  99.72462 100.22974 100.26465  99.68450 100.13491  99.54396  99.57911 #>   [2346]  99.80481  99.49372  99.58916 100.35935 100.08996 100.27961 100.12492 #>   [2353]  99.85990  99.80481 100.13990 100.22475  99.55401  99.93998  99.39819 #>   [2360]  99.77475 100.34441  99.90495  99.95999 100.25468  99.68450 100.13491 #>   [2367] 100.02000 100.20479 100.03000 100.03999  99.37303  99.99000 100.11993 #>   [2374]  99.85489 100.27961 100.38924 100.12992  99.76472  99.83987 100.16986 #>   [2381]  99.62429 100.04499 100.28958 100.32447  99.86992 100.17485 100.23971 #>   [2388]  99.91496 100.11993 100.73232  99.64437  99.92998  99.85990 100.32946 #>   [2395] 100.18982  99.93998  99.61426 100.17984 100.04499 100.25966 100.03000 #>   [2402]  99.96499  99.89995 100.07997  99.92497  99.79980  99.87492 100.06998 #>   [2409] 100.12992 100.22475  99.99500 100.24969  99.57911 100.05998 100.41912 #>   [2416]  99.82986 100.30952  99.92497  99.73465 100.28460  99.97500  99.67447 #>   [2423]  99.91997  99.76973 100.10994 100.22974  99.97500  99.87993  99.52889 #>   [2430] 100.33444  99.98000  99.69453  99.74467 100.10994  99.91496 100.51865 #>   [2437] 100.04999 100.27462  99.91997 100.28958 100.17984  99.81984  99.83486 #>   [2444]  99.65942  99.97500 100.03999 100.13491 100.67770  99.81984  99.82485 #>   [2451] 100.03999  99.61928 100.06498 100.22475  99.55401  99.80481 100.13990 #>   [2458]  99.78477 100.13491 100.03499 100.08496  99.84989 100.13990  99.69955 #>   [2465] 100.06998 100.55347  99.94999  99.89494 100.03000  99.75971 100.10994 #>   [2472]  99.88994  99.92998  99.58916 100.66280 100.14490 100.44899 100.14989 #>   [2479]  99.98500  99.79980 100.45895 100.02500 100.17984 100.30952 100.25468 #>   [2486]  99.68952  99.99500  99.54396 100.35935 100.45895 100.39920  99.82485 #>   [2493]  99.59418  99.97000 100.36434  99.99500 100.14989  99.88493 100.17485 #>   [2500]  99.72963  99.94999  99.98500 100.10994  99.88493  99.44345  99.61426 #>   [2507]  99.93998 100.29457  99.55401 100.30952  99.64437  99.89494  99.70958 #>   [2514] 100.12492  99.88493  99.63433 100.28958 100.11993 100.38426 100.11493 #>   [2521] 100.04999 100.08496 100.02500  99.95499  99.67949  99.76472 100.57833 #>   [2528] 100.13491  99.59418 100.51368 100.60815  99.98000  99.47864 100.11993 #>   [2535]  99.74467  99.89995  99.98000 100.17984  99.74969  99.65942  99.89995 #>   [2542]  99.67949  99.88994 100.19481  99.90495 100.55844  99.79980 100.11993 #>   [2549] 100.11493  99.98500  99.56907 100.23971  99.65942 100.02000  99.85990 #>   [2556] 100.58330 100.08496 100.06498 100.01000 100.24470  99.59920  99.84488 #>   [2563]  99.67447  99.90495  99.67447 100.52363 100.73728 100.40418  99.84989 #>   [2570]  99.75470 100.23971  99.89995 100.00500 100.36932  99.80982 100.32447 #>   [2577]  99.99500 100.09495  99.56907 100.13491 100.03000  99.65942  99.91997 #>   [2584] 100.65784 100.00000  99.87492 100.36434  99.67949  99.96499  99.56907 #>   [2591] 100.13990 100.29955 100.09995  99.99000  99.71961 100.08496 100.10994 #>   [2598] 100.33444  99.52889  99.72963 100.24470 100.65287 100.08496 100.13990 #>   [2605]  99.62429 100.23971 100.23472 100.00500 100.31949  99.68450  99.59920 #>   [2612] 100.52363 100.03999 100.05498 100.27961  99.99000  99.87993 100.45397 #>   [2619]  99.82485  99.81984  99.68952  99.88994  99.77976 100.02000 100.46392 #>   [2626] 100.51865  99.72462 100.16986 100.26465  99.97000 100.47388 100.19980 #>   [2633]  99.65942  99.98500 100.43904 100.19481 100.03999  99.92497 100.15987 #>   [2640] 100.04999  99.62429 100.22475 100.11493  99.97500  99.74969 100.02000 #>   [2647]  99.87492  99.95999  99.94498  99.87993 100.09495  99.91997 100.52363 #>   [2654] 100.07997 100.05998 100.13491  99.82986 100.28460  99.88493  99.68952 #>   [2661]  99.82986 100.02500 100.47388 100.00500 100.03499 100.51368  99.87993 #>   [2668] 100.03499 100.02500  99.86491 100.02000  99.90996 100.52860  99.60422 #>   [2675] 100.37430 100.19980 100.20978 100.38924  99.85990  99.88994  99.67447 #>   [2682]  99.97500 100.29457  99.60422 100.25966  99.92998  99.83987 100.63300 #>   [2689]  99.79980  99.89494  99.44848 100.10994 100.00000 100.25966 100.41414 #>   [2696] 100.00500  99.82986 100.27462  99.66444 100.68764 100.03000 100.18483 #>   [2703] 100.05998  99.33781  99.68952  99.97500  99.58414 100.64790 100.19481 #>   [2710] 100.04499 100.11993 100.03000  99.88994  99.85990  99.92497 100.02000 #>   [2717] 100.29955 100.50373 100.65784  99.76973  99.20181 100.42908 100.25966 #>   [2724]  99.57409 100.06498 100.35437  99.99000 100.14490 100.23472 100.24969 #>   [2731]  99.41328 100.85633  99.57409 100.06498  99.77475 100.27961  99.60924 #>   [2738]  99.82485  99.79980 100.21976  99.68952  99.93498  99.88994 100.09495 #>   [2745]  99.72462  99.60422 100.13990 100.04499  99.99500 100.24969  99.74969 #>   [2752]  99.99000 100.21976 100.05998 100.50373 100.03999  99.70456 100.40418 #>   [2759]  99.60422  99.83987 100.22475  99.73966 100.05498 100.18982 100.06498 #>   [2766]  99.97000 100.32447 100.25468 100.43406 100.38426 100.02000  99.56907 #>   [2773]  99.92497 100.34441  99.27235 100.22475 100.21976 100.29955  99.86491 #>   [2780] 100.41414 100.01000  99.45853 100.18982 100.06498 100.21976 100.27961 #>   [2787] 100.51368 100.70253 100.15987  99.98500 100.37928  99.85489  99.59418 #>   [2794] 100.29457  99.67949 100.00500  99.86992  99.59418 100.31451 100.10494 #>   [2801] 100.21477  99.76973  99.63433  99.66945  99.92998 100.03000 100.01000 #>   [2808] 100.59821 100.50871 100.00000 100.18483  99.38310 100.57336  99.57911 #>   [2815]  99.97000  99.67447 100.27961 100.05498  99.91496 100.30952 100.31451 #>   [2822]  99.34284 100.66777 100.12492  99.74969 100.17984 100.02500  99.78978 #>   [2829] 100.31949 100.09995  99.84488 100.04499  99.53391  99.85990  99.95499 #>   [2836]  99.64939  99.50377  99.61928  99.78978 100.15987  99.85990  99.80982 #>   [2843]  99.94498  99.73966  99.94498 100.13491  99.95499 100.35935 100.26964 #>   [2850] 100.20479 100.11993 100.13491  99.64437  99.80982 100.61312 100.06998 #>   [2857]  99.70456  99.97000  99.79980 100.50373 100.51865  99.74467  99.83987 #>   [2864] 100.39422 100.27462  99.65942  99.79479  99.62429  99.92998  99.69453 #>   [2871]  99.51382 100.21477 100.11993  99.95999 100.20479  99.82485  99.72963 #>   [2878]  99.59418 100.07997  99.73465 100.42908  99.97000 100.21477 100.19481 #>   [2885]  99.88493 100.09995 100.44899  99.61426 100.38924 100.23971  99.93998 #>   [2892] 100.10994 100.00000  99.73465 100.19980 100.60815  99.59418  99.84488 #>   [2899]  99.97500  99.94498  99.79980 100.26465 100.02500  99.81984  99.67447 #>   [2906]  99.72963 100.52860  99.71459 100.49378  99.46859 100.09495 100.35437 #>   [2913] 100.12492 100.51368  99.79980 100.27462  99.69955 100.42908 100.00000 #>   [2920] 100.24969 100.31949 100.06998 100.00500  99.93498  99.86491 100.09495 #>   [2927]  99.50879  99.37807 100.07497 100.02000  99.86992 100.61809 100.05498 #>   [2934]  99.84989 100.52860  99.90495 100.34939  99.52387  99.58414 100.04499 #>   [2941] 100.25966  99.72462 100.32946 100.18483 100.17485 100.29457  99.98500 #>   [2948]  99.70958 100.00000 100.20978  99.80481 100.55844 100.46392 100.31451 #>   [2955]  99.63433 100.36932 100.31949  99.92998  99.76973  99.70958  99.81984 #>   [2962] 100.02500  99.54898 100.09495  99.70958 100.01500  99.80982 100.30952 #>   [2969] 100.21976  99.68450  99.82485  99.94999 100.17485 100.44899  99.90996 #>   [2976]  99.56405  99.50879  99.92998  99.98500  99.85990 100.12992 100.03999 #>   [2983]  99.92497 100.22974 100.28460 100.16486 100.52860 100.77698 100.14989 #>   [2990]  99.76973  99.95499  99.65942 100.00500 100.26465  99.57911  99.77976 #>   [2997]  99.90996 100.30454 100.31451  99.72462  99.60924 100.20978 100.17984 #>   [3004] 100.25468  99.49874  99.62429 100.11493 100.52363  99.60422  99.67447 #>   [3011]  99.68450  99.88994 100.38924 100.12492 100.16486  99.97500  99.90495 #>   [3018] 100.38426  99.74467  99.89494 100.34939 100.24470 100.03999 100.03499 #>   [3025]  99.62429  99.81984 100.09995 100.04999 100.14989  99.61928 100.08496 #>   [3032] 100.06998 100.36434 100.41912 100.21477  99.94999  99.93998 100.41414 #>   [3039]  99.61928 100.07497  99.76472  99.45853  99.75971  99.74969  99.66945 #>   [3046]  99.41328  99.61928 100.08996 100.10994 100.06498  99.90495 100.04499 #>   [3053] 100.22475 100.38426 100.01000 100.29457  99.92998  99.78978 100.38426 #>   [3060] 100.02500  99.88994  99.98500  99.83486 100.46890  99.82485  99.69453 #>   [3067]  99.66945 100.06998  99.72462 100.08996 100.07997  99.92497 100.52363 #>   [3074]  99.86992 100.23971 100.41414  99.81984 100.20978  99.89995  99.44345 #>   [3081]  99.90996  99.86491  99.93998 100.49378 100.14490  99.91997  99.69453 #>   [3088] 100.00500 100.28958 100.00500 100.36932 100.09495  99.95499 100.22475 #>   [3095] 100.03999 100.55844 100.17984 100.25468  99.84488 100.21477 100.46392 #>   [3102] 100.09495  99.91997  99.85990 100.14490 100.63797 100.66777  99.84989 #>   [3109]  99.80481  99.86491 100.29457 100.01000  99.82485  99.94498 100.14989 #>   [3116]  99.71459  99.46859 100.21477 100.34939  99.62931  99.83486 100.14989 #>   [3123]  99.88994 100.03000  99.54898  99.77976  99.90996  99.60422 100.23971 #>   [3130]  99.82485 100.52860 100.61809  99.86992  99.88994 100.16986 100.24470 #>   [3137]  99.79980 100.33942  99.72462  99.75971  99.95499 100.20978  99.85990 #>   [3144] 100.25468 100.19481 100.12492  99.99500 100.55347  99.98000  99.71459 #>   [3151]  99.92497 100.38924 100.39920 100.05998 100.57336  99.68450  99.82986 #>   [3158]  99.63433  99.60422 100.15987  99.96499  99.94498 100.27961 100.58827 #>   [3165] 100.18483 100.03000 100.09495 100.35935  99.95999  99.70958  99.95999 #>   [3172] 100.12992 100.16986  99.91496  99.86491 100.04499  99.86491  99.95999 #>   [3179]  99.97000  99.64939  99.74969 100.05498  99.45853 100.33444  99.68450 #>   [3186]  99.82986 100.60815  99.57911  99.82986 100.23971  99.85489 100.01500 #>   [3193]  99.41831 100.03999  99.90996  99.34284  99.97000  99.87993  99.79980 #>   [3200] 100.04499  99.98500 100.19980 100.13990 100.10494  99.98500  99.72462 #>   [3207]  99.95499 100.07997 100.08996  99.75470 100.41414 100.02000 100.43406 #>   [3214] 100.21477  99.59418  99.75470  99.67949  99.79980 100.12492  99.96499 #>   [3221]  99.85489  99.93998  99.97000 100.26964  99.62429 100.23472 100.26465 #>   [3228]  99.71961 100.23971 100.03000 100.43406  99.91997 100.07997 100.22475 #>   [3235] 100.00500 100.58330  99.91496  99.66444 100.38426 100.33444 100.02500 #>   [3242] 100.19980  99.90996 100.36932 100.09495 100.44401 100.41912  99.93998 #>   [3249]  99.98500  99.92497  99.69955 100.12492  99.57409  99.98500 100.21477 #>   [3256]  99.95499  99.92497 100.11993  99.61928 100.00000 100.05498 100.03000 #>   [3263]  99.70958 100.42908  99.61928  99.76472 100.08996  99.42334 100.14490 #>   [3270] 100.17984  99.82485  99.79479  99.90495 100.42908 100.27961  99.85489 #>   [3277]  99.52387 100.04499 100.11493 100.41912  99.81483 100.10494  99.81483 #>   [3284] 100.00500  99.94498 100.02000 100.10994 100.12992 100.09995 100.16986 #>   [3291]  99.19677 100.02000 100.18483 100.06998  99.81984  99.86491 100.35437 #>   [3298]  99.74467 100.09995 100.27462  99.85489  99.77475  99.91496 100.19980 #>   [3305]  99.83486  99.91997  99.93498  99.84989 100.00000  99.29250  99.68450 #>   [3312]  99.62429  99.79479  99.84989  99.89494  99.69453 100.34441 100.00000 #>   [3319] 100.26964 100.05998 100.37430  99.93498  99.70958  99.62931 100.29457 #>   [3326] 100.42410 100.26964 100.17984  99.76973 100.10994  99.88994 100.34939 #>   [3333]  99.93498  99.69955  99.55903  99.72462  99.53894  99.71459  99.74969 #>   [3340]  99.41328  99.79980  99.88994  99.88994 100.19980 100.56838 100.15987 #>   [3347]  99.79980  99.86491  99.92998 100.28460  99.69955 100.01500 100.04999 #>   [3354]  99.69453  99.60924 100.06998  99.94999 100.47388  99.98500 100.38924 #>   [3361] 100.46890  99.86491 100.03499  99.53391 100.03499  99.56405  99.97000 #>   [3368] 100.03999  99.87492  99.94498 100.29955 100.23971 100.37928 100.17485 #>   [3375] 100.19980 100.18483 100.43904  99.58916 100.07997  99.66444  99.62429 #>   [3382] 100.00500 100.22974 100.16486  99.64939 100.30454 100.13491 100.32946 #>   [3389] 100.10494 100.05998  99.93498 100.18982  99.86491 100.43406 100.35935 #>   [3396]  99.50377  99.61928 100.14490 100.30454 100.33942  99.83987  99.61426 #>   [3403]  99.80982  99.92497 100.27961  99.79980  99.95999 100.41912  99.96499 #>   [3410]  99.69955  99.65942 100.14989  99.50377 100.12492  99.83987 100.55844 #>   [3417]  99.92998 100.04999  99.73465 100.31949 100.17984 100.16986  99.78978 #>   [3424]  99.97000 100.39422 100.46392  99.83486  99.49372  99.79980 100.16986 #>   [3431]  99.54396  99.74969 100.38426  99.73465  99.71459 100.41912  99.71459 #>   [3438]  99.65440 100.14989  99.71459  99.81984 100.41912 100.10994 100.15987 #>   [3445]  99.91496  99.82986  99.99500 100.28958  99.81483  99.96499 100.10494 #>   [3452]  99.83987 100.23472 100.35437 100.03499  99.66444  99.94999  99.60422 #>   [3459] 100.01500 100.47885  99.93998 100.10994 100.11493 100.18483  99.90996 #>   [3466]  99.53894  99.72462 100.22974 100.08496  99.64939  99.56405 100.40418 #>   [3473]  99.94999 100.44899  99.66444  99.54396 100.40418 100.14490 100.57833 #>   [3480] 100.19481 100.18483  99.75971 100.07497 100.08996  99.91997 100.05498 #>   [3487] 100.10994 100.14490  99.66444  99.96499 100.16486 100.13990  99.89995 #>   [3494] 100.06998  99.57911 100.21477 100.35935 100.14989 100.32447 100.24470 #>   [3501] 100.29457 100.28460 100.39920 100.34441  99.90996 100.38426 100.12492 #>   [3508]  99.98500  99.80481  99.54898 100.20479 100.01500  99.56405  99.95499 #>   [3515] 100.24470  99.96499  99.94999 100.62306  99.70958  99.50879  99.94498 #>   [3522]  99.92998 100.29457 100.02000  99.85489 100.06498  99.77976 100.40916 #>   [3529] 100.40418  99.55903  99.74969 100.51368 100.08496  99.90996 100.35437 #>   [3536] 100.02000 100.38426 100.05998  99.66945 100.40418  99.68952 100.47388 #>   [3543] 100.12492  99.64939 100.10494 100.38924 100.29955  99.31264  99.83987 #>   [3550]  99.76472  99.62931 100.41912  99.89494  99.61426  99.72963 100.13990 #>   [3557] 100.11493  99.95499  99.62931 100.40916  99.88493 100.56341  99.80481 #>   [3564] 100.52363  99.83486 100.24470 100.04999  99.75470  99.51382 100.20978 #>   [3571]  99.55903 100.10994 100.13990  99.51884  99.63433  99.89494  99.83987 #>   [3578] 100.08496  99.97000 100.03499  99.67949  99.98000 100.41912  99.93998 #>   [3585] 100.20978  99.91997 100.27961  99.89494  99.79479 100.77202  99.45853 #>   [3592]  99.95999 100.01000  99.51382 100.32946 100.03999 100.39422  99.50377 #>   [3599] 100.30454  99.27739  99.84989 100.23971 100.15987  99.97000 100.02000 #>   [3606]  99.51884  99.77475  99.96499 100.53855  99.60924 100.16986  99.75470 #>   [3613] 100.31451 100.24470 100.12492 100.33444  99.82986 100.30454  99.61928 #>   [3620]  99.81483  99.53894 100.28460  99.97000 100.08496 100.09495  99.97500 #>   [3627]  99.96499 100.02000 100.17485  99.79479  99.47864  99.79980  99.65942 #>   [3634]  99.59418  99.97500 100.63300  99.91496 100.29955  99.93998 100.11493 #>   [3641] 100.07997 100.03499  99.78978  99.90495  99.34787 100.04499  99.87492 #>   [3648] 100.10494 100.01500 100.16486  99.82485 100.04499 100.29955  99.76973 #>   [3655]  99.92497  99.85489  99.44345 100.29955 100.46392 100.81667 100.05998 #>   [3662]  99.56907 100.27462 100.26465  99.82485 100.02000 100.23472  99.93498 #>   [3669] 100.29955 100.13491 100.13491  99.55401 100.16986 100.77698 100.29955 #>   [3676]  99.39819 100.07997  99.85990 100.35437  99.97500  99.70456  99.52889 #>   [3683]  99.76472 100.07997 100.13990 100.22974  99.63935 100.02000  99.97000 #>   [3690]  99.65942 100.09495 100.55347  99.90996  99.54396  99.57911 100.18982 #>   [3697] 100.16986  99.62931 100.19481 100.35935 100.12992 100.03999  99.59418 #>   [3704]  99.79980  99.61928  99.61426 100.29955  99.92998 100.82162 100.02000 #>   [3711] 100.28460  99.73465 100.00500  99.86491  99.99500 100.01500 100.01500 #>   [3718] 100.16486  99.92998  99.55401  99.54396 100.16986  99.70958 100.17485 #>   [3725] 100.22974 100.00000 100.06498 100.11493 100.30454  99.76472 100.28460 #>   [3732] 100.20479  99.78477  99.77976 100.05498 100.28460 100.25966  99.75470 #>   [3739] 100.07997  99.91496 100.15987 100.54352  99.87492 100.00000  99.90495 #>   [3746]  99.70958 100.57336 100.09495 100.22475 100.01000 100.11493  99.53391 #>   [3753] 100.45895 100.03000 100.23971  99.76973 100.48383  99.82485 100.74721 #>   [3760]  99.50377 100.30952  99.73465  99.67949 100.56341 100.14490 100.13990 #>   [3767]  99.94999 100.44899  99.95999 100.48383 100.52363  99.77475  99.86992 #>   [3774] 100.32447 100.11993 100.06498  99.52387  99.77475  99.65942 100.21477 #>   [3781]  99.64939 100.08496 100.31949 100.08496  99.71459  99.64939  99.76472 #>   [3788]  99.51382 100.01000  99.76973  99.97000  99.66945 100.00500 100.07497 #>   [3795] 100.19481  99.77976 100.33942 100.26465  99.98500  99.94498  99.47864 #>   [3802]  99.63433 100.49378  99.93498  99.96499  99.72462 100.09495  99.88994 #>   [3809] 100.43904 100.06498  99.86491  99.84488 100.05498  99.51884  99.67949 #>   [3816] 100.09495  99.92998  99.79479 100.26465  99.87993 100.07997 100.24969 #>   [3823]  99.94999 100.24470  99.63433 100.28460  99.97000 100.25468  99.83486 #>   [3830] 100.37430  99.93998 100.43904 100.03999  99.73465  99.32774 100.11493 #>   [3837] 100.61809 100.53855  99.92998 100.78194 100.51368 100.21477 100.15488 #>   [3844] 100.10994 100.28460  99.85489 100.54352  99.54898  99.72963  99.85990 #>   [3851] 100.32447  99.86992  99.87492 100.13990  99.50377 100.06498  99.89494 #>   [3858] 100.10494 100.08496  99.81483  99.93998 100.53855 100.22974  99.97000 #>   [3865]  99.84488  99.66945  99.79479  99.94498 100.26964 100.17984 100.29955 #>   [3872]  99.55401 100.18483  99.61426  99.66945  99.98000 100.22974  99.71459 #>   [3879]  99.80481 100.64790 100.08496  99.57409 100.10994  99.95499  99.83486 #>   [3886] 100.26465 100.32447  99.76472 100.10494 100.25966  99.89995  99.72963 #>   [3893] 100.03999  99.90996  99.43842 100.08496 100.53855 100.81171  99.76472 #>   [3900] 100.35437 100.57833  99.95999  99.97500 100.38924 100.58330 100.00000 #>   [3907]  99.89995  99.54396  99.93498 100.58827 100.12492 100.09495  99.85489 #>   [3914] 100.00000  99.93998 100.05998 100.49876 100.40418 100.46392  99.77976 #>   [3921]  99.65942 100.13491 100.19980 100.01500  99.65440 100.53855 100.42908 #>   [3928]  99.99500  99.65942 100.00000 100.20978  99.85990 100.27462 100.42410 #>   [3935] 100.07497 100.10494 100.37928  99.90495  99.83486 100.10494 100.12492 #>   [3942]  99.71961  99.89995 100.00500 100.03999  99.91496  99.45853  99.69955 #>   [3949] 100.02000 100.39920 100.09495  99.92998  99.64939  99.91496 100.05498 #>   [3956] 100.06998 100.12992  99.82485 100.02500 100.42410 100.58330 100.24969 #>   [3963] 100.02000 100.73232  99.80481  99.79980 100.22475  99.74969 100.50373 #>   [3970] 100.40418  99.90495 100.15987  99.65440  99.90495 100.28460  99.64437 #>   [3977] 100.16486  99.99500  99.84989  99.96499  99.92497  99.66945  99.98000 #>   [3984]  99.99000 100.46392 100.07997 100.37430 100.07497  99.64939  99.75971 #>   [3991]  99.87492  99.89995 100.15488 100.01500 100.41414 100.14490 100.08496 #>   [3998] 100.03499  99.71961 100.22475  99.50377  99.79980 100.04999  99.29753 #>   [4005] 100.00500 100.30454  99.93998 100.22475 100.32447  99.83987 100.48383 #>   [4012] 100.32946  99.98000  99.81984 100.12992 100.02000  99.44848  99.76973 #>   [4019]  99.78978 100.16986 100.03999 100.57833 100.09495  99.84989 100.21477 #>   [4026]  99.65942 100.21477  99.89494 100.78194  99.72963  99.61426 100.55844 #>   [4033]  99.99000  99.60422 100.45397  99.71459 100.29457 100.47388 100.53358 #>   [4040] 100.24969  99.60422  99.81984  99.64939 100.14989 100.20479  99.63935 #>   [4047]  99.67949  99.15140  99.83486 100.13491 100.31451  99.99500  99.43842 #>   [4054] 100.01000 100.44401 100.25966 100.08996 100.16486 100.08996 100.41414 #>   [4061]  99.51884 100.19980  99.99500 100.50373 100.15987  99.84488 100.27462 #>   [4068] 100.59324  99.90996 100.04999 100.28460 100.17984  99.76472  99.70958 #>   [4075] 100.18982 100.40916  99.93498 100.00500 100.14989 100.13990  99.45351 #>   [4082]  99.59418 100.53855 100.56341 100.11493  99.51382  99.68450 100.28460 #>   [4089] 100.23971  99.66945 100.22475  99.81984  99.91997 100.46392 100.31949 #>   [4096] 100.37928  99.74969 100.33942  99.78477  99.92497  99.84488 100.03999 #>   [4103] 100.32946 100.33444  99.91496  99.52889  99.55903 100.20978 100.02000 #>   [4110] 100.04499 100.26465  99.94999  99.84488  99.77475  99.97500 100.32447 #>   [4117]  99.86491 100.31949  99.87492 100.33444 100.27462 100.11493  99.44848 #>   [4124] 100.28958 100.33444 100.00000 100.02500  99.96499  99.99000 100.35935 #>   [4131]  99.37303 100.03999  99.81984 100.28958 100.26964  99.97000 100.29457 #>   [4138]  99.79980 100.61312 100.13491 100.50373  99.48367  99.95999  99.93998 #>   [4145]  99.79479  99.81984 100.24969  99.78477  99.82986 100.16986  99.79479 #>   [4152] 100.34939  99.98000  99.74467  99.76973  99.82485 100.32447 100.07997 #>   [4159]  99.53894 100.17485 100.14989  99.78477  99.60924 100.35935  99.52387 #>   [4166] 100.25468 100.06998  99.97500 100.11493  99.92998 100.36434  99.85489 #>   [4173]  99.86992  99.95999  99.92497 100.08996  99.87492 100.20978  99.87492 #>   [4180] 100.32946 100.28958  99.99000 100.04999  99.85990  99.63935 100.40916 #>   [4187] 100.13990 100.01000 100.30454 100.23472  99.70958 100.15488 100.07497 #>   [4194]  99.70958  99.96499 100.36434  99.98500  99.99500 100.09495  99.72462 #>   [4201] 100.00000  99.40322 100.15488 100.62306 100.10494  99.94498 100.30952 #>   [4208] 100.15987 100.71743  99.78978  99.91496 100.14490 100.37928 100.48383 #>   [4215]  99.80982  99.94498 100.06998 100.07497 100.20479 100.01000 100.38924 #>   [4222] 100.13491 100.34939  99.69453 100.51368  99.85489  99.56405 100.11493 #>   [4229] 100.34441  99.74467  99.93498 100.35437  99.99000  99.90495  99.68450 #>   [4236]  99.98500 100.30454 100.39422 100.79186  99.63433  99.80481 100.05498 #>   [4243]  99.93998 100.01000 100.04999  99.84989  99.65440  99.86992 100.34441 #>   [4250] 100.05998  99.61928 100.14989 100.21477 100.10494 100.19980  99.69453 #>   [4257]  99.76472  99.43339 100.18982 100.28958 100.25468 100.19980 100.31451 #>   [4264]  99.95499 100.17984 100.07997 100.16986 100.10994  99.86491 100.33942 #>   [4271] 100.29457 100.08496 100.04999  99.91997  99.47864 100.22475 100.14989 #>   [4278]  99.90996 100.48383  99.98500 100.02500  99.81483  99.95499  99.85990 #>   [4285] 100.07497  99.93998  99.73465 100.05498 100.12492  99.69955 100.44899 #>   [4292] 100.40418 100.43406 100.59324 100.06998  99.51884  99.74467  99.58916 #>   [4299]  99.33277 100.25966 100.49876 100.07997 100.21477 100.19980 100.10494 #>   [4306] 100.27961  99.63433 100.40916  99.75971 100.08496  99.94999  99.73966 #>   [4313] 100.19980  99.96499 100.38426  99.78477  99.51382  99.99000 100.16486 #>   [4320]  99.36800  99.88994 100.09995 100.14490  99.78978  99.69955 100.05998 #>   [4327] 100.15987 100.15987  99.80481  99.77976  99.62931 100.31451 100.19980 #>   [4334]  99.89995 100.44401 100.60318  99.43339 100.12492 100.29457 100.35437 #>   [4341] 100.22475 100.23472  99.98000  99.72462  99.71459 100.25966  99.77976 #>   [4348]  99.34787 100.30952 100.48383  99.70456 100.02500  99.97500 100.00000 #>   [4355]  99.97500  99.54898  99.90495 100.15987 100.35935  99.88493  99.39316 #>   [4362]  99.99000 100.28958 100.20479  99.53894  99.92998 100.18982  99.98000 #>   [4369] 100.00500 100.01500  99.29250 100.13990  99.90495  99.80481 100.23472 #>   [4376]  99.82986 100.29955  99.90495 100.35437 100.25468  99.95999 100.23472 #>   [4383]  99.86992 100.21477  99.98500 100.36434 100.32946 100.29955  99.80481 #>   [4390]  99.80481  99.98500 100.40916  99.94498 100.38426 100.07497 100.25966 #>   [4397] 100.02500  99.35794 100.04999 100.51368 100.00500 100.09995  99.85990 #>   [4404] 100.03999  99.88493 100.35437 100.05498  99.77976  99.61426 100.67770 #>   [4411] 100.12992  99.41328  99.65440 100.03999 100.24470  99.79479 100.41414 #>   [4418]  99.85489  99.88493  99.72462 100.38426  99.33781  99.88493 100.16986 #>   [4425]  99.70456  99.88493  99.44345 100.41414  99.91997 100.07997  99.99000 #>   [4432]  99.66945 100.43904 100.06498 100.07997 100.17984  99.95999  99.56907 #>   [4439] 100.32946  99.98000 100.74721 100.32447 100.18982  99.88994  99.99500 #>   [4446] 100.13491  99.87492  99.64939 100.18483 100.38924  99.62429 100.18982 #>   [4453] 100.23472 100.32946 100.60318 100.00500 100.39920  99.92497  99.58916 #>   [4460]  99.54396 100.10994  99.59920 100.01000  99.63935  99.74969 100.09995 #>   [4467]  99.81984  99.68450 100.01000 100.22475  99.66444 100.66777  99.82986 #>   [4474]  99.92497 100.58330 100.27961 100.07997  99.73966  99.66444 100.25468 #>   [4481]  99.98500  99.62931 100.06498  99.64939  99.76472  99.80982 100.41414 #>   [4488] 100.08996  99.72963 100.41414 100.26465 100.49378  99.19677 100.19980 #>   [4495] 100.04999  99.98500  99.75971  99.80481  99.92497 100.52860  99.73966 #>   [4502]  99.58414  99.56907  99.92497  99.76472 100.06498  99.82485 100.19481 #>   [4509]  99.86491 100.00500  99.88493  99.84989 100.09995 100.09995  99.76472 #>   [4516] 100.42908  99.73465 100.04499 100.25468 100.17984 100.27961  99.63935 #>   [4523]  99.43339  99.47864  99.94498 100.46890  99.77976  99.93998 100.21976 #>   [4530] 100.36434  99.87993 100.04499  99.75971  99.91496 100.39920  99.44345 #>   [4537]  99.99500  99.57409 100.14490 100.36434 100.13990  99.99500  99.58414 #>   [4544]  99.73465 100.07997  99.78477 100.15987 100.17984  99.53391 100.24470 #>   [4551]  99.80481  99.60924 100.14490 100.14490 100.61809 100.04499  99.69453 #>   [4558]  99.86992 100.36932 100.10994 100.19980 100.24969 100.47885  99.97000 #>   [4565] 100.16486  99.63433  99.67949 100.16486 100.24969 100.07497  99.88493 #>   [4572]  99.90996  99.29250  99.72963 100.48383 100.48881  99.98000 100.01500 #>   [4579]  99.86992  99.72963 100.00500  99.97000  99.84989 100.05498  99.56405 #>   [4586] 100.52363  99.71961 100.30454 100.16986  99.50377 100.05998  99.76973 #>   [4593] 100.11493 100.08996  99.67447 100.45397 100.07997 100.02000 100.59324 #>   [4600]  99.59418 100.11993  99.77976  99.77475 100.01000  99.61426 100.15488 #>   [4607] 100.01000  99.89494 100.30454 100.34939 100.06998  99.69955  99.62931 #>   [4614] 100.35437 100.36434 100.26465 100.10994 100.02500  99.67447  99.73966 #>   [4621]  99.76973  99.82485  99.85489  99.52387 100.03000 100.03000  99.54898 #>   [4628] 100.24969  99.55903  99.58414 100.10994 100.19980 100.45397 100.40916 #>   [4635] 100.29457 100.19980 100.47885  99.83486  99.93498 100.11993  99.78477 #>   [4642] 100.25468 100.04499  99.91496 100.26465 100.07997  99.55903 100.09495 #>   [4649] 100.16986 100.16486  99.55401 100.03999 100.57336  99.84989 100.32447 #>   [4656] 100.06498 100.60815  99.57409 100.00000  99.78477 100.29955  99.41328 #>   [4663]  99.29753  99.70958  99.78477  99.86491  99.54898  99.82986  99.76472 #>   [4670]  99.80982  99.68952 100.39920  99.96499  99.80982 100.10994  99.62931 #>   [4677] 100.13491  99.65942 100.19481  99.93498  99.82986 100.12492  99.56405 #>   [4684]  99.45853 100.35437  99.73966 100.13990  99.68450  99.83486 100.35437 #>   [4691] 100.02500  99.65440  99.76973 100.15987 100.11493 100.17485 100.07497 #>   [4698] 100.06998  99.71961  99.77976  99.95999  99.75470  99.97500  99.88994 #>   [4705]  99.97500 100.12492 100.10494 100.07497  99.50377  99.73966 100.40916 #>   [4712] 100.09495  99.77976 100.07497  99.95999 100.01000  99.88493 100.13990 #>   [4719]  99.60924  99.85489  99.85990 100.27961 100.06498  99.92497  99.74467 #>   [4726] 100.09495 100.06498  99.46859 100.23971 100.23472  99.67949  99.92998 #>   [4733]  99.52889  99.66444 100.30952  99.88994  99.95999 100.23472 100.23971 #>   [4740]  99.54898  99.92998 100.35437 100.26964 100.25966 100.15987  99.91997 #>   [4747]  99.48869  99.57409 100.11993  99.85489 100.36434 100.50871  99.59920 #>   [4754] 100.04499  99.99500 100.37430 100.15488  99.65440 100.28460 100.24470 #>   [4761]  99.91496 100.31949  99.94498  99.92497 100.48383  99.50879 100.19980 #>   [4768]  99.78978  99.58414  99.61928 100.52363  99.64437  99.70958  99.90495 #>   [4775]  99.85489  99.97000 100.09495  99.52387 100.51865 100.07497  99.84488 #>   [4782]  99.99500  99.69955  99.70958  99.93998 100.28958  99.74467  99.82485 #>   [4789]  99.87993 100.56341  99.82986 100.11993 100.35437  99.76472  99.87492 #>   [4796] 100.14989  99.81483 100.00000 100.10494 100.09495  99.66444  99.76973 #>   [4803] 100.23472 100.54352 100.21976 100.40916 100.27961 100.33942 100.04999 #>   [4810] 100.49378 100.31949  99.60924 100.12992 100.48881 100.03000 100.16486 #>   [4817]  99.80481 100.33942  99.98000  99.75470  99.95499 100.09495 100.23971 #>   [4824] 100.23472 100.11993  99.85990  99.66945  99.84989 100.14989  99.81984 #>   [4831] 100.20978  99.88493 100.04499 100.37928  99.88493  99.69955  99.95499 #>   [4838]  99.83987  99.96499  99.87492  99.38310 100.00000 100.39920  99.77475 #>   [4845] 100.11993 100.37928  99.74467  99.94999  99.87993 100.18483 100.17984 #>   [4852]  99.81984  99.43842  99.84488  99.98000 100.46890  99.32774 100.34441 #>   [4859]  99.82485  99.83987  99.80481  99.88994 100.13491 100.53855 100.07497 #>   [4866]  99.27235  99.57409 100.12992 100.27462 100.02500 100.23971  99.69955 #>   [4873] 100.57833  99.94498 100.24470 100.12992 100.11993  99.64939 100.56341 #>   [4880] 100.31949 100.04499  99.55903  99.99500 100.11993  99.68952  99.53391 #>   [4887] 100.09495 100.49876 100.03000 100.42908  99.96499  99.66945 100.19481 #>   [4894]  99.63433 100.05498 100.35935  99.99000  99.78978  99.68450 100.08996 #>   [4901] 100.10994 100.21477  99.61426  99.97000  99.99500  99.81984  99.87993 #>   [4908] 100.02000 100.34441  99.90495 100.16486 100.60318  99.75971 100.02000 #>   [4915]  99.63935  99.27739 100.06498  99.52889 100.17984  99.80481 100.50871 #>   [4922]  99.99000  99.50879  99.97000 100.17984 100.24470  99.42334 100.27462 #>   [4929]  99.99500  99.56405 100.32447 100.17485  99.64437 100.36932 100.16986 #>   [4936]  99.38310 100.21477 100.00500  99.94999 100.24470  99.64437 100.34441 #>   [4943]  99.95499  99.79479  99.86491 100.01000 100.25966 100.14490  99.88493 #>   [4950] 100.14490 100.09495 100.14490 100.30454  99.83486  99.57409  99.54898 #>   [4957]  99.35291 100.18483 100.47388 100.26465 100.40916 100.23971 100.15488 #>   [4964]  99.86491 100.12992 100.00000  99.74467  99.83486 100.45895 100.09495 #>   [4971] 100.19980 100.38924  99.89494 100.01000 100.09995  99.69453  99.82986 #>   [4978]  99.83987 100.06498 100.40916  99.78978 100.44899  99.94498 100.28460 #>   [4985]  99.80481  99.76973 100.40916 100.50373 100.02000 100.11493 100.13491 #>   [4992] 100.14989 100.12492  99.84488  99.35794  99.94498  99.90495  99.88493 #>   [4999] 100.28958  99.91496  99.40322  99.39819  99.38310  99.44345  99.69955 #>   [5006] 100.28460 100.03999 100.67274  99.81483 100.31451 100.34939  99.91496 #>   [5013] 100.30952 100.03499  99.85990  99.51884 100.28460  99.92998  99.67447 #>   [5020]  99.66444  99.84989  99.94498  99.63433  99.80481 100.34939  99.69955 #>   [5027] 100.26964  99.77475 100.26964  99.23709  99.80982  99.88493  99.65942 #>   [5034] 100.05998 100.41414  99.68952 100.23472 100.28460  99.98000 100.14490 #>   [5041]  99.81483  99.73465  99.67447  99.76973  99.50377  99.75470  99.52889 #>   [5048] 100.04999 100.20479  99.94999  99.59920  99.53391  99.90495 100.17984 #>   [5055] 100.37928  99.52387  99.59418 100.05498 100.16986  99.82986  99.69955 #>   [5062]  99.64437  99.81483 100.07997  99.72462  99.89995 100.62803 100.31949 #>   [5069]  99.66444  99.70456 100.13491 100.63797  99.67447 100.35935 100.31949 #>   [5076]  99.60422  99.67949 100.32946 100.20479  99.63433  99.90996  99.62931 #>   [5083] 100.16486  99.89995 100.36932 100.03000 100.25966 100.11993 100.45397 #>   [5090]  99.82986  99.92998 100.03499  99.62429  99.66945  99.99500  99.82986 #>   [5097]  99.96499  99.92998  99.90495  99.95999  99.72963 100.46392  99.32774 #>   [5104] 100.25468 100.38426  99.76973 100.02500 100.22475 100.07997 100.59821 #>   [5111] 100.32946  99.57911  99.71961 100.10494 100.01000 100.16986  99.55903 #>   [5118] 100.11493  99.53391  99.64939  99.61426  99.95999 100.09995  99.70958 #>   [5125] 100.10494  99.76472 100.10494 100.06498  99.80481 100.05498  99.45351 #>   [5132] 100.06998 100.24470 100.31451 100.23472 100.18483  99.83486 100.26465 #>   [5139]  99.73465  99.62931 100.28958  99.94498  99.82485 100.32447  99.80982 #>   [5146]  99.94999  99.95499  99.49372  99.51884  99.86491 100.16486 100.44899 #>   [5153]  99.66444  99.66945 100.55347  99.88994  99.99500 100.16986 100.20978 #>   [5160] 100.09995  99.93498 100.22974 100.43904 100.36932 100.34441  99.72462 #>   [5167] 100.47388 100.00000  99.60422 100.26465  99.53894 100.06998 100.24969 #>   [5174]  99.49874  99.52387  99.98500  99.97000  99.99500  99.90996  99.79479 #>   [5181]  99.91997  99.64437 100.20479  99.74969  99.51382  99.80481  99.61426 #>   [5188]  99.89494  99.69453 100.01000  99.65942 100.11993 100.39920  99.98500 #>   [5195] 100.12992 100.28460 100.07497 100.29955 100.02500 100.38426  99.40322 #>   [5202]  99.75470  99.74467  99.75971 100.14490 100.18483 100.33444  99.51382 #>   [5209]  99.92497 100.13491  99.90495  99.64939  99.87492 100.08996 100.02500 #>   [5216]  99.96499  99.80982 100.08496  99.72462 100.06498 100.48383  99.97500 #>   [5223]  99.88994 100.17984 100.11493  99.88994  99.99500  99.99500 100.55347 #>   [5230] 100.14490 100.00000 100.20479 100.51368 100.17984 100.42410 100.01000 #>   [5237]  99.65942  99.91997 100.19481  99.84989 100.40916 100.00000 100.11493 #>   [5244] 100.15488  99.86992  99.63935 100.35437  99.89494 100.02000 100.03499 #>   [5251] 100.01500  99.86992 100.48881 100.06998 100.05498  99.66444  99.57409 #>   [5258]  99.80982  99.92497 100.04999  99.85990  99.66444  99.87492  99.87492 #>   [5265] 100.18483  99.84488 100.22475  99.41328  99.35794  99.71961  99.76472 #>   [5272] 100.15488 100.16486  99.98500 100.22974 100.40418 100.15488 100.15987 #>   [5279]  99.52889 100.08496  99.77475 100.22974  99.89494 100.18483 100.30952 #>   [5286] 100.12992 100.08996 100.15987 100.32447  99.91997  99.89494 100.18982 #>   [5293] 100.62803 100.02000  99.81984  99.41328 100.30454 100.06998 100.10494 #>   [5300] 100.00500 100.17984  99.80481 100.02000 100.50373  99.70456 100.44899 #>   [5307]  99.90495 100.04499 100.09495 100.13990  99.81984 100.21976  99.72963 #>   [5314]  99.67447 100.37928 100.01000  99.68450  99.88493  99.73465 100.15987 #>   [5321]  99.88493 100.44899 100.48383  99.78477  99.71459 100.47885  99.26732 #>   [5328] 100.03499 100.12492  99.52387 100.26964  99.97000 100.31451  99.97000 #>   [5335] 100.11993  99.82485 100.09995 100.18483  99.62931  99.72462  99.53391 #>   [5342]  99.84488 100.19481  99.94498  99.32271  99.64437 100.40418 100.16986 #>   [5349] 100.31949 100.10994 100.25468 100.34939 100.31949  99.77976  99.88493 #>   [5356] 100.48383 100.35437 100.00000 100.25468  99.56907  99.74467  99.80481 #>   [5363]  99.59920 100.18982  99.69453  99.48869  99.55401  99.46356  99.99500 #>   [5370]  99.91997  99.71961  99.91997  99.78978  99.41328  99.71459  99.93498 #>   [5377] 100.20978 100.09495  99.90495  99.99500  99.87492  99.35794 100.13990 #>   [5384] 100.15488 100.10994 100.25468 100.56341  99.87492  99.81984  99.86992 #>   [5391]  99.64437  99.86491 100.10994 100.38924 100.14989  99.91997  99.62429 #>   [5398]  99.84488  99.88493  99.98500 100.37928 100.31451 100.48383 100.11993 #>   [5405] 100.12992  99.82986  99.89494  99.89494  99.40825  99.72462  99.95499 #>   [5412]  99.81483 100.25468  99.62931 100.08496 100.01500  99.97000  99.89995 #>   [5419] 100.12992 100.03000 100.03999 100.32447  99.79980 100.43406 100.19481 #>   [5426]  99.88493 100.41912 100.36932 100.18483 100.19980 100.06498  99.67447 #>   [5433]  99.89995 100.07997 100.09495  99.98000 100.22974 100.17485  99.98000 #>   [5440]  99.74969  99.95999 100.22475 100.25966 100.08996 100.01000  99.97000 #>   [5447]  99.95499  99.64437 100.24969 100.25468  99.95999 100.36434 100.09495 #>   [5454] 100.11993 100.26465  99.83486 100.28460  99.82485  99.98500 100.35935 #>   [5461]  99.66945 100.34441  99.92497 100.02500 100.37430 100.00000 100.17485 #>   [5468] 100.50373 100.11993 100.02000  99.97500 100.17485 100.24969  99.89494 #>   [5475]  99.81984 100.19980 100.00500  99.63433 100.36932  99.30257 100.28460 #>   [5482]  99.50377 100.00000  99.50377  99.94498  99.78477 100.23472 100.05998 #>   [5489]  99.70456 100.17485 100.28958  99.89494  99.77976  99.63433  99.84488 #>   [5496]  99.82986 100.11993 100.17984 100.00500  99.82986  99.59920 100.21477 #>   [5503] 100.46890  99.91997 100.32447 100.27961 100.20978 100.32946 100.31451 #>   [5510]  99.93998 100.01000 100.08496 100.12992 100.21976  99.93998  99.99000 #>   [5517]  99.89995  99.79980  99.99500 100.52363 100.08496 100.31949  99.90495 #>   [5524]  99.90495 100.14989 100.50373 100.24969  99.99500 100.09995  99.33277 #>   [5531] 100.07997 100.46890  99.94999  99.58414 100.01000  99.76472 100.58330 #>   [5538] 100.09495 100.07497  99.68952  99.63433  99.81483 100.49876 100.19481 #>   [5545] 100.42908  99.59418  99.47864 100.30952  99.95999  99.66945 100.14490 #>   [5552] 100.24969 100.00000  99.59920  99.88994  99.98500  99.83486  99.84989 #>   [5559]  99.55903 100.38426 100.48881  99.68952  99.82485 100.03999 100.25966 #>   [5566]  99.73465 100.08996 100.47885 100.32447 100.25468 100.18483  99.75470 #>   [5573] 100.29457 100.20978  99.72462 100.00000  99.67949 100.16986 100.42908 #>   [5580]  99.89995 100.07497  99.92998  99.86992  99.62931  99.91496  99.72462 #>   [5587] 100.03999  99.96499 100.30952 100.04999 100.43406  99.76472 100.61809 #>   [5594] 100.22974  99.84488 100.31949 100.19980 100.04999 100.03000  99.98500 #>   [5601] 100.20479 100.34441 100.19481 100.11493 100.34939  99.69955  99.87993 #>   [5608] 100.36932  99.97500  99.68450 100.04999 100.35935 100.07497  99.59920 #>   [5615] 100.18483  99.41831  99.65942  99.86992  99.69453 100.05998  99.75971 #>   [5622] 100.45895  99.88493 100.25966 100.00500  99.79980 100.05998 100.10494 #>   [5629]  99.90495  99.46356 100.14989  99.39316 100.01500 100.14989 100.06498 #>   [5636] 100.00500  99.96499  99.56405 100.19481  99.30257 100.28460  99.76472 #>   [5643] 100.12992  99.88493  99.84989 100.22974 100.14490  99.78978  99.86992 #>   [5650]  99.34787  99.97000 100.25468  99.78978 100.52363 100.14490  99.59920 #>   [5657] 100.00500  99.77976  99.47361  99.89995 100.26964  99.74969 100.67770 #>   [5664]  99.57409  99.65440  99.84488 100.16986 100.03499 100.43904  99.90495 #>   [5671]  99.88493 100.45895  99.63433  99.95499 100.02000  99.84488 100.28958 #>   [5678] 100.03999  99.85489 100.21477 100.01000 100.04999  99.99000  99.92998 #>   [5685]  99.46356 100.37430 100.23971 100.01500  99.82485 100.56341  99.98500 #>   [5692] 100.40418 100.04999  99.63433  99.96499  99.67949  99.56405 100.31949 #>   [5699]  99.96499  99.69453  99.73465  99.99000 100.38426 100.17485  99.66444 #>   [5706] 100.18982 100.60318 100.05998 100.04999  99.88994  99.83486  99.67447 #>   [5713]  99.53894 100.02500 100.10994  99.86491 100.51865 100.26964 100.55844 #>   [5720]  99.54898 100.02500 100.67770 100.15488 100.12992  99.86491  99.33781 #>   [5727]  99.83486  99.99500  99.83987  99.99500  99.43339  99.80982  99.85990 #>   [5734] 100.11493  99.61928 100.05498  99.75971 100.25966 100.09995 100.27961 #>   [5741] 100.01500 100.09995 100.18483  99.82485 100.16986  99.84989  99.93998 #>   [5748] 100.17485  99.85990  99.74969 100.46890 100.21477  99.76973  99.88994 #>   [5755]  99.94498 100.08996  99.64939 100.44899 100.22475  99.53391 100.23472 #>   [5762] 100.22974 100.32447  99.75470  99.92998 100.52860 100.40916  99.84989 #>   [5769] 100.58330 100.16486 100.06498  99.66444 100.25966 100.21976  99.95499 #>   [5776] 100.18483  99.79980  99.84989 100.44401 100.53358  99.94999  99.96499 #>   [5783] 100.14989 100.28460  99.56907  99.95999  99.45853  99.94498  99.62931 #>   [5790] 100.42410  99.93998 100.17485  99.60924 100.39422 100.30454 100.09495 #>   [5797] 100.01000  99.88493 100.30952  99.71961  99.32774 100.16986  99.76973 #>   [5804] 100.32946  99.94498  99.72462  99.94498 100.39920  99.48869  99.97000 #>   [5811] 100.23472 100.48881 100.01500  99.96499  99.72462 100.42410 100.26465 #>   [5818] 100.03000  99.93998 100.17984 100.09495  99.85990 100.03000 100.18483 #>   [5825]  99.70958  99.40825 100.59821  99.59920 100.20479  99.85990 100.34939 #>   [5832]  99.97000 100.06998  99.95499  99.89494 100.50871  99.71961  99.65440 #>   [5839] 100.22475  99.74969  99.71961 100.02500  99.36297  99.55903  99.98000 #>   [5846] 100.07997 100.48383 100.20978  99.84989  99.74969  99.67949  99.41328 #>   [5853]  99.96499 100.64790 100.26465 100.05498  99.66945  99.48869 100.03499 #>   [5860] 100.19481  99.77976  99.73966  99.84488 100.16486  99.98000 100.25468 #>   [5867]  99.99500 100.28958  99.82485  99.68952  99.97000  99.86491  99.42334 #>   [5874]  99.97500  99.83486 100.62803 100.02000 100.02000  99.78978  99.67949 #>   [5881] 100.27462 100.11993 100.02000  99.99000  99.91997  99.87492  99.57911 #>   [5888] 100.00000  99.93998 100.26964 100.21976 100.11993 100.38426  99.50879 #>   [5895]  99.76973 100.10494 100.45895 100.52363  99.85489 100.29955 100.01500 #>   [5902] 100.21477 100.13491  99.82485 100.13491 100.13990  99.91997 100.28958 #>   [5909]  99.93498  99.67447  99.94498 100.14989  99.80481 100.39920 100.39422 #>   [5916] 100.37928 100.18982 100.46890 100.32447  99.76973  99.72963  99.49372 #>   [5923] 100.05498 100.07497 100.45397 100.16986 100.19481  99.90495 100.05498 #>   [5930]  99.86992 100.13990  99.86491 100.11993 100.48881  99.89995 100.23472 #>   [5937]  99.65440 100.04499 100.14989  99.73465 100.25966 100.46392  99.98500 #>   [5944] 100.81667  99.70456  99.61928 100.22475 100.01500 100.28460  99.64437 #>   [5951]  99.65440  99.94498 100.03999  99.77976 100.00500  99.67949 100.11993 #>   [5958]  99.85990 100.10494  99.82485 100.06998  99.59920 100.06998  99.61426 #>   [5965] 100.20978 100.61809 100.35935 100.34441 100.25966  99.83486  99.94498 #>   [5972] 100.04999  99.66444 100.18982  99.92497  99.51884  99.82986 100.01000 #>   [5979]  99.87993 100.12492 100.07997  99.92998  99.71459  99.92497 100.37430 #>   [5986]  99.59920  99.59920  99.47361 100.04999 100.26964 100.03000  99.99500 #>   [5993] 100.18483  99.53391  99.87993  99.49874 100.79186  99.78978 100.18483 #>   [6000] 100.08496  99.94498 100.04999  99.20685 100.40418  99.96499  99.91496 #>   [6007] 100.71743 100.01500 100.15987  99.48367  99.34787 100.16986  99.76472 #>   [6014] 100.12992 100.02500  99.72963  99.73465  99.71459 100.12492  99.65942 #>   [6021]  99.88994  99.96499  99.95499  99.97000  99.92998  99.71459 100.32447 #>   [6028] 100.14490 100.32447  99.79479 100.12492 100.00000 100.07497 100.05998 #>   [6035]  99.83987 100.19481 100.07497  99.65440 100.03499  99.92998  99.56907 #>   [6042] 100.19980  99.94999  99.91997  99.73465 100.14989 100.04999 100.22974 #>   [6049] 100.18982 100.08496  99.22197 100.03999 100.29457 100.54352  99.85990 #>   [6056] 100.23971 100.55347  99.74969 100.03000 100.72735  99.83987 100.22974 #>   [6063]  99.78978 100.34939  99.94498  99.94999  99.68952 100.03000 100.34441 #>   [6070] 100.34939  99.35291 100.40916  99.55903 100.60318 100.16986  99.99500 #>   [6077]  99.99500  99.76973  99.48869  99.93998 100.37928  99.75470 100.00000 #>   [6084]  99.65440 100.28958 100.01500 100.00500 100.19481  99.70456  99.46859 #>   [6091]  99.77475 100.60318 100.16986 100.23472 100.10994  99.94498  99.76973 #>   [6098] 100.24969  99.97500  99.95499  99.82986 100.69260  99.91997  99.38310 #>   [6105] 100.04999 100.72735 100.29955  99.55903 100.38924 100.30952  99.83486 #>   [6112]  99.84488 100.08996  99.87993 100.01500  99.83486  99.48869  99.79479 #>   [6119]  99.83486  99.91496  99.84989  99.90495  99.55903  99.80481  99.75971 #>   [6126] 100.60318 100.27961 100.34441 100.04999  99.82986 100.03999 100.27961 #>   [6133] 100.23472 100.25468 100.50373  99.82986 100.09995  99.60422 100.12992 #>   [6140]  99.70456  99.66945  99.56405 100.67274 100.57336 100.25966  99.70456 #>   [6147] 100.38924 100.17984  99.93498 100.20978  99.90495 100.04999 100.16986 #>   [6154] 100.15987 100.55844  99.75971  99.92998  99.87993 100.25966  99.68952 #>   [6161]  99.53894 100.08496 100.15488  99.94498  99.81483 100.32447 100.49876 #>   [6168]  99.85990  99.81483 100.03999  99.49874  99.79980 100.46890  99.93498 #>   [6175] 100.15488  99.73465  99.92998 100.15488  99.77475  99.40322 100.04499 #>   [6182] 100.44899 100.08996  99.85489  99.66444 100.10994 100.07497  99.74969 #>   [6189] 100.03499 100.18982  99.79980 100.38924  99.96499 100.41414  99.59418 #>   [6196]  99.90495 100.10994 100.31451  99.30760 100.20479  99.92998  99.63433 #>   [6203] 100.27961 100.03499 100.02000  99.65942 100.19980 100.03999  99.80481 #>   [6210]  99.92497 100.10494 100.38924  99.78978 100.19980 100.53855  99.91496 #>   [6217]  99.48367  99.82485  99.94498 100.04999  99.75971  99.64437 100.02500 #>   [6224]  99.55401  99.93998 100.14989  99.53391  99.77475 100.05998 100.17984 #>   [6231] 100.28958  99.78978 100.24969  99.55903  99.84989 100.22475  99.28243 #>   [6238]  99.47864  99.95499  99.97000 100.09995  99.85489  99.49372 100.42410 #>   [6245]  99.99500 100.44899 100.18483 100.29955 100.06498 100.05498 100.17485 #>   [6252] 100.31451 100.08496  99.85990 100.22475  99.47864  99.92998  99.74467 #>   [6259]  99.81483  99.56405  99.94498  99.40322 100.49378 100.40916 100.29955 #>   [6266] 100.05998 100.25966 100.06998 100.07997 100.31949 100.18982  99.83486 #>   [6273] 100.19481  99.65942 100.10994  99.84488  99.88493  99.81984 100.44401 #>   [6280] 100.10494 100.24969 100.61312 100.14989  99.94498  99.77475 100.56838 #>   [6287] 100.50871 100.50871 100.49876 100.08496  99.99000  99.73966 100.08496 #>   [6294] 100.08996 100.09495  99.78477 100.20479  99.92998  99.78978 100.08496 #>   [6301]  99.84989 100.10994 100.59324 100.27961  99.91997 100.52860  99.93498 #>   [6308] 100.25966 100.15987  99.99000  99.91496 100.16486  99.99000  99.66444 #>   [6315] 100.44899 100.09495 100.19980  99.78978 100.08996 100.37928 100.21477 #>   [6322]  99.92497  99.60924 100.11493  99.70958  99.36800 100.04999  99.93998 #>   [6329]  99.94498 100.19980  99.86491  99.86992 100.25966 100.23472  99.78477 #>   [6336] 100.31451 100.35935  99.76973  99.78978 100.35935  99.78978  99.79980 #>   [6343]  99.66945  99.82986  99.84989 100.02000 100.25966  99.77475 100.35437 #>   [6350] 100.33444  99.95499  99.94498 100.03000 100.58827  99.87492 100.00500 #>   [6357] 100.60815 100.11493 100.14989 100.35935  99.67447 100.15987  99.71459 #>   [6364] 100.28460 100.24470 100.19980 100.04499 100.02500  99.59418 100.29457 #>   [6371] 100.13990 100.67770 100.38426 100.19481  99.79479  99.50879  99.75971 #>   [6378]  99.71961 100.39920 100.03499  99.86992  99.79479  99.62931 100.65287 #>   [6385] 100.18483 100.40418  99.78477  99.84488  99.48367 100.18483 100.18982 #>   [6392]  99.90495 100.10494 100.48383  99.55903 100.17485 100.38426 100.23971 #>   [6399] 100.03499 100.48881  99.49372 100.01500  99.86992 100.34441 100.12492 #>   [6406] 100.63797 100.45895  99.71459  99.91997 100.43406 100.01500  99.95499 #>   [6413]  99.45853  99.70456 100.21976  99.91997 100.11493  99.33277  99.71961 #>   [6420] 100.12492  99.87492  99.91997  99.97000 100.03999  99.39316  99.59418 #>   [6427]  99.84989  99.65440  99.99500 100.24470  99.87993  99.73465 100.37928 #>   [6434]  99.39316 100.32447 100.35437  99.98000  99.90996  99.05049 100.10494 #>   [6441]  99.67949  99.83486  99.99500 100.40916  99.70456  99.94498 100.21976 #>   [6448] 100.19980 100.05498 100.17485  99.54898 100.29457  99.94498 100.38426 #>   [6455]  99.87993  99.91997 100.15987 100.32447  99.50377 100.49378 100.07997 #>   [6462]  99.97500  99.92497 100.16486  99.84488 100.11493 100.13491 100.39422 #>   [6469] 100.38924  99.53894 100.46392 100.06498 100.12492 100.11493 100.05498 #>   [6476]  99.67949 100.60318 100.17984  99.56907  99.55401  99.78978  99.98000 #>   [6483]  99.96499 100.15987  99.75971  99.59920 100.31451  99.84488 100.10994 #>   [6490]  99.91997  99.57409 100.04499 100.08996  99.88493 100.22475  99.95499 #>   [6497]  99.95999  99.93498 100.10494 100.61312  99.71459  99.75470 100.16986 #>   [6504]  99.32774 100.20479 100.18982  99.40825 100.45397  99.74467  99.95499 #>   [6511] 100.13990  99.67447 100.50373  99.88493 100.32946  99.75971 100.19980 #>   [6518] 100.53855  99.66945 100.02000  99.49372  99.38813 100.12492 100.21477 #>   [6525]  99.43339 100.54850 100.04499 100.72239 100.06998  99.65440  99.70456 #>   [6532]  99.98500  99.62931  99.66945 100.21976 100.08496 100.60815 100.01500 #>   [6539]  99.91997 100.67274  99.97000  99.76472 100.26465  99.92497  99.60422 #>   [6546]  99.60422 100.31451  99.83987  99.70958  99.55903 100.02500  99.80982 #>   [6553]  99.86491  99.85489  99.92497 100.20479  99.99500 100.29955  99.80481 #>   [6560]  99.90495  99.88493 100.33942  99.90495  99.58414 100.03000  99.82485 #>   [6567]  99.85990 100.34441 100.08996  99.99000 100.46392 100.27961 100.18982 #>   [6574] 100.06998 100.05498  99.91997 100.24969 100.24969  99.72462  99.89494 #>   [6581]  99.66444  99.90996 100.30952  99.74969 100.42410 100.02000  99.88994 #>   [6588] 100.17485 100.22475  99.80481 100.04999  99.50879  99.82485  99.52889 #>   [6595] 100.05498 100.05498 100.33444  99.74969  99.69955  99.68450  99.38310 #>   [6602]  99.99500 100.36932  99.80481 100.18483  99.47864 100.01000 100.06998 #>   [6609]  99.54396  99.83486  99.24213  99.82986 100.20479 100.25966 100.44899 #>   [6616]  99.34284  99.99500  99.72963 100.03000  99.34787 100.28958  99.89995 #>   [6623] 100.40916  99.98000 100.08996 100.11493  99.86992 100.04999 100.01000 #>   [6630] 100.39920  99.56405  99.89494  99.52387  99.88994 100.04499 100.05498 #>   [6637] 100.06498 100.37928 100.28958 100.23971  99.74467 100.04499 100.24470 #>   [6644]  99.44345  99.58414  99.68450 100.15987  99.95499  99.95999 100.24470 #>   [6651]  99.53894 100.38924 100.10494  99.77475  99.89494  99.97000  99.78477 #>   [6658]  99.54898  99.94498 100.06498 100.48881  99.74969 100.06998  99.97000 #>   [6665] 100.03999 100.36434 100.17485  99.42334 100.08996  99.93998  99.93998 #>   [6672]  99.82485 100.01500 100.00500 100.20479  99.46356 100.03499 100.22475 #>   [6679] 100.29955  99.94999 100.44899 100.45397 100.25966 100.21477 100.10994 #>   [6686] 100.08496 100.02500 100.27961  99.83987 100.17485 100.26465 100.30454 #>   [6693]  99.59920  99.79980 100.25468 100.48881 100.22974  99.99000  99.99000 #>   [6700]  99.69955 100.32447 100.38426  99.90495  99.94498  99.49874 100.49876 #>   [6707]  99.69453 100.57336  99.55401  99.89494 100.07997 100.38924  99.43339 #>   [6714]  99.50879 100.17984 100.19481  99.41831 100.16486 100.36434 100.02500 #>   [6721] 100.14490 100.54352  99.88493 100.13990 100.83650 100.07997 100.31451 #>   [6728]  99.72462 100.37430  99.92998  99.72963 100.11993 100.22974 100.10494 #>   [6735]  99.80982  99.91997 100.51865 100.37928  99.81984 100.01500 100.11993 #>   [6742]  99.86992 100.46392 100.53358  99.61928 100.00000  99.95999  99.78978 #>   [6749]  99.79980  99.79980  99.78978 100.22974  99.40322  99.50879  99.98000 #>   [6756] 100.17984 100.49876 100.38924  99.81984 100.06498 100.26964  99.87993 #>   [6763]  99.73966  99.92497 100.38924 100.21976  99.74969  99.93998 100.36932 #>   [6770] 100.28958  99.74467  99.81984  99.87492 100.09995  99.71459 100.04999 #>   [6777]  99.93998 100.30952 100.32447 100.22475  99.57911 100.00000 100.29457 #>   [6784] 100.31949 100.46890 100.19980 100.37430  99.95999  99.78477  99.92998 #>   [6791]  99.80481 100.58330 100.51865 100.04999 100.15987 100.09495  99.91997 #>   [6798] 100.05998 100.29955  99.65942  99.53391 100.01000  99.92497  99.98500 #>   [6805]  99.59920  99.90495 100.59821 100.21976 100.01500  99.61928 100.08996 #>   [6812] 100.11493 100.31949 100.03499 100.57833 100.10994 100.18483 100.06498 #>   [6819]  99.60422  99.94999 100.41912 100.02500 100.19481 100.36434 100.01000 #>   [6826] 100.29457 100.24470  99.89494 100.24969  99.83987 100.10994  99.94999 #>   [6833]  99.53894 100.13491  99.65440 100.16486  99.69453  99.78477 100.10994 #>   [6840]  99.78477 100.14490  99.53894  99.40322  99.58414 100.52363 100.04499 #>   [6847]  99.48869 100.16486 100.03999 100.38924  99.99500 100.20978  99.46356 #>   [6854] 100.39422 100.19980  99.53391 100.41414 100.12492  99.53391 100.58330 #>   [6861]  99.84488  99.77976  99.62429 100.07997  99.51382  99.75470 100.03999 #>   [6868]  99.71961  99.85489 100.09495 100.32946 100.11993 100.43406  99.97500 #>   [6875] 100.32946 100.33444 100.27961  99.73465 100.07997  99.99000  99.70958 #>   [6882]  99.93998 100.26964 100.12492 100.24470 100.03999 100.00500 100.20978 #>   [6889]  99.74969  99.84989 100.34441 100.15987 100.08996 100.22974 100.26964 #>   [6896]  99.39316 100.08996  99.79980  99.96499 100.24470 100.00000 100.27462 #>   [6903] 100.06998  99.91997 100.12492  99.87492  99.96499  99.62429  99.69453 #>   [6910] 100.31451  99.75971 100.44899  99.85489 100.01500 100.10994  99.63935 #>   [6917]  99.94999 100.09995 100.05998 100.42410  99.51884  99.92497 100.15488 #>   [6924] 100.38426  99.97500 100.14490 100.02000  99.90495  99.99000  99.88493 #>   [6931]  99.76472 100.42410  99.90495  99.82485  99.91496  99.99000 100.13990 #>   [6938] 100.29457  99.72963  99.74467  99.76472  99.60924  99.71961  99.55401 #>   [6945]  99.76472  99.83987  99.93998  99.76973  99.87492 100.06998  99.71961 #>   [6952] 100.41414 100.78690 100.26465 100.39920 100.15488  99.94498 100.18982 #>   [6959] 100.13491  99.46356 100.30454  99.99500 100.43406 100.39422 100.08996 #>   [6966] 100.19980 100.08996 100.27961 100.05498 100.30952 100.02000 100.06998 #>   [6973] 100.18483  99.57409 100.87616 100.07497  99.37303  99.85990 100.00000 #>   [6980] 100.03499  99.71961 100.22974  99.82485  99.56405  99.87993 100.37430 #>   [6987] 100.13990  99.94999 100.36434 100.64293  99.73465  99.68952  99.74969 #>   [6994]  99.71961  99.56907  99.28243  99.92497 100.16986 100.06998 100.00000 #>   [7001] 100.20479  99.90495 100.06998  99.82986 100.57336  99.94999  99.56405 #>   [7008] 100.25468  99.72462 100.42410 100.34939 100.02500  99.96499 100.20978 #>   [7015] 100.18982 100.23971 100.08496 100.07997 100.02500 100.39920 100.23472 #>   [7022] 100.37928  99.85489 100.26964 100.30952  99.64939 100.14490  99.99000 #>   [7029] 100.24969 100.01000  99.77475 100.19481 100.43904 100.03499  99.46859 #>   [7036]  99.69453  99.56405  99.75971 100.07997  99.78978 100.12992 100.19980 #>   [7043]  99.92497  99.59418  99.82986 100.17485 100.32946  99.51884 100.11993 #>   [7050] 100.60318 100.44899  99.51382 100.36434 100.10494 100.50373  99.97500 #>   [7057]  99.82485  99.66945 100.49378 100.08996 100.33942 100.00500 100.11493 #>   [7064] 100.10494  99.57409 100.23472 100.33942 100.02000 100.14989  99.72462 #>   [7071] 100.35437  99.74467  99.83486  99.92497 100.12992  99.99500 100.19980 #>   [7078] 100.26964  99.84989  99.80982 100.06998  99.53391  99.96499  99.83486 #>   [7085] 100.24470  99.77475  99.84989  99.79980  99.54898 100.45397  99.89995 #>   [7092]  99.69955  99.79980 100.42908  99.97000  99.93498 100.30454  99.89494 #>   [7099] 100.42410 100.23472 100.04499 100.43904 100.08496  99.47864 100.35437 #>   [7106]  99.84989 100.20978 100.37430 100.18483  99.81984  99.92998  99.86491 #>   [7113] 100.16486  99.36297 100.51368 100.04999 100.52363  99.76973  99.94999 #>   [7120]  99.93498  99.63935 100.24969  99.95999  99.60924 100.13491  99.95999 #>   [7127] 100.18483  99.76973  99.81483 100.02500  99.99000  99.94498 100.22974 #>   [7134] 100.58330 100.33444 100.09995 100.81667  99.72462  99.55401 100.34441 #>   [7141]  99.99500  99.89995 100.44899 100.24969  99.63433  99.86491  99.92497 #>   [7148] 100.21477 100.30952 100.37928  99.82485 100.16986 100.13990 100.39920 #>   [7155] 100.01000  99.97000  99.56907  99.67949 100.10494  99.77976  99.76472 #>   [7162]  99.94999 100.24969  99.78477 100.24470  99.87993  99.91496 100.36434 #>   [7169]  99.66945  99.63935 100.31949  99.78978 100.32447  99.76472 100.02000 #>   [7176] 100.10494  99.72963 100.36434  99.90495  99.90495 100.52363  99.47361 #>   [7183]  99.78978  99.53894  99.89494  99.73465  99.38813 100.60318 100.20479 #>   [7190]  99.93498  99.77976 100.03499  99.37807  99.43842 100.34939 100.22475 #>   [7197] 100.05498 100.22475 100.80179  99.65440 100.17485  99.52889 100.07497 #>   [7204]  99.70958  99.94498 100.12992 100.24470  99.71459  99.44848  99.82986 #>   [7211]  99.60422 100.25468 100.04999  99.72963 100.05498 100.10494  99.66444 #>   [7218]  99.56907  99.93498  99.61426 100.11493 100.62306 100.01500 100.05498 #>   [7225]  99.49372 100.09495  99.81984 100.15987 100.11993 100.17485 100.50871 #>   [7232] 100.07997 100.51368 100.16986 100.21976  99.91496 100.31451 100.13491 #>   [7239]  99.65942  99.77976 100.03499  99.86491  99.92998 100.25468 100.16986 #>   [7246]  99.94498  99.83987 100.08496  99.93498 100.42410 100.06998  99.68952 #>   [7253] 100.04499  99.77976  99.51382  99.98500  99.66444 100.20978  99.94498 #>   [7260] 100.32447 100.43904  99.60924  99.25220  99.67447 100.68267  99.80982 #>   [7267] 100.51368  99.75470  99.77475  99.75971  99.97500  99.92998 100.25468 #>   [7274] 100.10994 100.05498 100.44401 100.21976 100.36932  99.99500 100.01500 #>   [7281]  99.89494 100.03000 100.17984 100.30952 100.11993 100.33942  99.50879 #>   [7288]  99.70456  99.64437  99.93498  99.88994 100.57336 100.46392 100.19980 #>   [7295] 100.09495 100.03999 100.20978 100.66280 100.08996  99.60422  99.92497 #>   [7302] 100.05998 100.31451 100.32946  99.82485  99.46356  99.99000 100.33444 #>   [7309] 100.41912  99.90495 100.05498  99.89995 100.03499 100.00000  99.62931 #>   [7316]  99.84488 100.17984 100.03999  99.52889 100.09995 100.24969  99.58916 #>   [7323] 100.63797  99.88994  99.97500 100.35935  99.83987  99.75470  99.88493 #>   [7330]  99.62931 100.20479 100.19980  99.94999  99.68952 100.20479 100.05498 #>   [7337]  99.90495 100.47388 100.05498  99.37807  99.99000 100.40418 100.23472 #>   [7344] 100.00500  99.69453  99.91997 100.42410  99.72963 100.08496 100.33444 #>   [7351]  99.77475  99.87492  99.79980  99.94498  99.76973  99.89995  99.68450 #>   [7358] 100.29955 100.18483 100.13491 100.55844 100.32946  99.91997 100.32946 #>   [7365]  99.68952 100.16986  99.93998 100.24969 100.59324 100.00500  99.64939 #>   [7372] 100.01500 100.09495  99.86491 100.00000 100.32946 100.09995  99.75470 #>   [7379] 100.11993 100.29457 100.19481 100.16486  99.47864 100.56341  99.79980 #>   [7386] 100.47388 100.54352 100.63797 100.09995 100.05498  99.99000  99.89995 #>   [7393]  99.96499  99.87492  99.50879  99.91496 100.09495  99.88994  99.78978 #>   [7400]  99.99500 100.04999  99.70958  99.99000  99.73465 100.29457  99.64939 #>   [7407] 100.31949  99.91997 100.22475  99.72963  99.93998  99.70958 100.26465 #>   [7414]  99.74969  99.74969 100.11993  99.46356 100.31949  99.69955  99.80982 #>   [7421]  99.79980  99.85489 100.29955 100.35437 100.20978 100.26465 100.22974 #>   [7428]  99.87993 100.03999  99.67949  99.71961  99.70958 100.23472 100.06498 #>   [7435] 100.19980  99.59920  99.96499 100.18483  99.51884 100.39920  99.87492 #>   [7442] 100.16486  99.92998  99.71459  99.68952 100.14490 100.34441 100.00500 #>   [7449]  99.76472 100.05998  99.98000  99.57409 100.63300  99.33277 100.40916 #>   [7456]  99.76472  99.91496 100.04499  99.92497 100.30454  99.81984 100.12992 #>   [7463] 100.02000 100.56341 100.19481 100.00000  99.48367 100.14490  99.84989 #>   [7470] 100.38924  99.99000 100.64293  99.81984  99.71961 100.46890 100.20479 #>   [7477] 100.03999  99.86491  99.83486 100.19980 100.32447 100.05498  99.93498 #>   [7484]  99.95499  99.69453  99.89995  99.99500 100.27462 100.25468 100.03999 #>   [7491] 100.20479  99.89995 100.12492 100.05498  99.61426 100.06998 100.16986 #>   [7498] 100.11993  99.85489  99.48367 100.19481 100.26964 100.51368  99.99500 #>   [7505] 100.28460  99.87993  99.98000  99.98500 100.13990  99.85990 100.05498 #>   [7512] 100.10494 100.12992 100.22974  99.97500 100.01000  99.96499  99.88994 #>   [7519]  99.97000  99.94999 100.04999 100.28460 100.00000 100.14490  99.78477 #>   [7526]  99.74969  99.63935  99.78477  99.83486 100.51368  99.94999 100.28460 #>   [7533]  99.66945 100.21976 100.19980 100.15488 100.03000  99.89494 100.68267 #>   [7540] 100.25468  99.79980 100.30454  99.83486 100.02500 100.03499  99.60924 #>   [7547]  99.76973  99.54396 100.23971  99.46356 100.43904  99.65440  99.55903 #>   [7554] 100.55347 100.25966 100.12992 100.03499  99.98000  99.94498 100.06498 #>   [7561] 100.18483 100.20978 100.25966  99.91496 100.30454 100.26465  99.98500 #>   [7568] 100.14989 100.20479  99.89494  99.85990  99.63935 100.21976  99.44345 #>   [7575] 100.41912  99.67447 100.18483  99.61928  99.49874 100.31949 100.02500 #>   [7582]  99.91496 100.38426  99.82986 100.33942  99.66444  99.63433  99.83486 #>   [7589]  99.97000 100.37928 100.39920 100.28460 100.12492 100.28460 100.33444 #>   [7596] 100.16486  99.99000 100.44401  99.50879  99.68450 100.41414  99.79479 #>   [7603] 100.06998 100.46890 100.52363  99.51884  99.77976  99.85990 100.20978 #>   [7610]  99.38310 100.22475  99.83987 100.12492 100.26465 100.58330 100.10494 #>   [7617]  99.87492  99.86491 100.26465  99.97500 100.58827  99.84989 100.41414 #>   [7624] 100.25966  99.96499 100.24969  99.30760  99.77475  99.94999  99.88994 #>   [7631]  99.76472 100.35935  99.88493  99.89995  99.82485 100.12492  99.87492 #>   [7638] 100.25966  99.93998 100.13491 100.01000  99.83486 100.41912 100.31949 #>   [7645]  99.80982  99.36800 100.35935 100.02000 100.54850 100.41912 100.15488 #>   [7652] 100.24969 100.24470  99.54898  99.98000  99.40322 100.04999 100.03499 #>   [7659] 100.30454  99.61426  99.76472 100.10494  99.71459 100.09495  99.99500 #>   [7666]  99.52387  99.68952  99.98500 100.00500  99.81984 100.33942  99.64437 #>   [7673] 100.17485 100.39422  99.55401 100.09995  99.67447  99.92497 100.04999 #>   [7680] 100.24969 100.15488  99.95999 100.09995 100.11493  99.70456  99.72462 #>   [7687]  99.78477  99.95999 100.02000 100.16986 100.17485 100.04499  99.54396 #>   [7694]  99.31264  99.58916 100.07497 100.12992  99.99000  99.71961  99.58414 #>   [7701]  99.64437  99.95999  99.84989  99.57911 100.01000  99.98000  99.97000 #>   [7708]  99.94498 100.36434  99.78978 100.40418 100.12492 100.20978  99.85990 #>   [7715]  99.69453  99.46859 100.13990  99.54396 100.02000 100.16486 100.40916 #>   [7722]  99.94999  99.66945 100.46392  99.61426  99.98500  99.64939  99.84488 #>   [7729] 100.29457 100.33942 100.39920 100.23472 100.31949 100.51368 100.03000 #>   [7736] 100.35935  99.82986  99.93998  99.42334 100.17984  99.70958 100.22475 #>   [7743] 100.08496 100.17485  99.97000 100.44401 100.16986 100.32447  99.92497 #>   [7750] 100.04999 100.07997  99.86992  99.87492 100.21976  99.69955  99.66945 #>   [7757] 100.00500  99.91496  99.50879 100.20479 100.50373  99.74969 100.23971 #>   [7764] 100.36932  99.91997  99.89995 100.30952 100.27961 100.25966 100.07997 #>   [7771] 100.38426  99.87993 100.24470 100.03999  99.65440  99.84989 100.13990 #>   [7778]  99.78978  99.66444 100.12992 100.08996 100.30952  99.69955 100.13990 #>   [7785]  99.42334  99.81984 100.53855  99.85489  99.39819 100.27961  99.94999 #>   [7792] 100.68764 100.35935  99.67949 100.23472 100.29457  99.79980 100.43904 #>   [7799]  99.62931 100.20978 100.20978 100.00500  99.97500 100.07497 100.31949 #>   [7806] 100.31949  99.94498 100.14989  99.73465  99.55903  99.77475  99.91997 #>   [7813]  99.86992 100.64293  99.75470  99.76973 100.07997  99.89995 100.15987 #>   [7820]  99.60924  99.79980 100.50871  99.70456  99.92497  99.92998  99.87492 #>   [7827] 100.03999  99.85990 100.38426  99.87492  99.45351 100.16486 100.01500 #>   [7834] 100.23971 100.64293 100.30454  99.92497 100.06498 100.40916 100.24470 #>   [7841]  99.77475 100.36434  99.80481 100.04499  99.63433  99.75470 100.25468 #>   [7848] 100.32447 100.38924  99.73465 100.03000  99.85990  99.77475 100.16486 #>   [7855]  99.59418 100.28460 100.37928 100.12492 100.14490 100.30454 100.06998 #>   [7862]  99.85990 100.41414  99.80982  99.96499 100.02000 100.15987 100.03000 #>   [7869] 100.64293  99.42837 100.38426  99.57409 100.09495  99.97500 100.31949 #>   [7876] 100.07997  99.79479  99.91496  99.98000 100.23472 100.31451 100.14490 #>   [7883]  99.83987  99.71459  99.59920 100.48881  99.65942 100.78690 100.52860 #>   [7890] 100.32447  99.74467 100.12492 100.05498  99.89995 100.17984 100.12992 #>   [7897] 100.44401 100.20479  99.73465  99.87993  99.97500 100.03999  99.77475 #>   [7904] 100.13990 100.10494 100.12492 100.33444 100.10494 100.09495  99.93998 #>   [7911] 100.06998  99.72462  99.89494 100.32946  99.91496  99.97000 100.03000 #>   [7918] 100.15488 100.21477 100.16986 100.16986  99.77976  99.95999  99.98500 #>   [7925]  99.77976  99.39819  99.65440  99.93498  99.65440 100.48881  99.88994 #>   [7932] 100.46890  99.34284  99.90495  99.76973 100.07997 100.18483  99.36297 #>   [7939]  99.67447  99.71961 100.10994 100.34939  99.45351  99.30257 100.22974 #>   [7946]  99.64939  99.82485  99.77976 100.08996 100.62803  99.63433  99.98000 #>   [7953] 100.47388  99.98500  99.74969 100.30952  99.98500 100.07997  99.47864 #>   [7960] 100.24969  99.80982  99.93498 100.02500 100.53358  99.59920 100.17984 #>   [7967]  99.93498 100.51865 100.17485  99.94999 100.47885 100.26465  99.76973 #>   [7974] 100.18982 100.36932  99.57409  99.60924  99.89995 100.14989 100.58827 #>   [7981] 100.47885 100.08496  99.77976 100.59324  99.93998  99.96499  99.46859 #>   [7988]  99.90996  99.93498 100.04499  99.84488 100.00000 100.37928 100.37928 #>   [7995]  99.82986  99.81984 100.04999 100.03000  99.62931 100.13491 100.33444 #>   [8002] 100.07997  99.83987  99.77976 100.25966  99.85990 100.12492  99.97000 #>   [8009]  99.87492  99.57911 100.20978 100.26964 100.17485 100.07497  99.84488 #>   [8016] 100.17485 100.08996 100.17485  99.91496 100.12992 100.45397  99.78477 #>   [8023] 100.41414  99.93998  99.85489 100.26465 100.03999 100.43904  99.66945 #>   [8030] 100.08996  99.68952  99.84989 100.27961 100.03999  99.83987  99.76973 #>   [8037]  99.67949 100.25966  99.87993  99.63433 100.37430 100.27462  99.80481 #>   [8044]  99.89494  99.76472 100.03000  99.53391  99.65942 100.57833  99.95999 #>   [8051] 100.11993  99.74467 100.41912 100.27961  99.91496  99.88493  99.64939 #>   [8058]  99.61426 100.06498  99.72963 100.33444 100.14989  99.38813 100.18483 #>   [8065]  99.58414 100.20978 100.12492 100.22475 100.23472 100.53855 100.25966 #>   [8072]  99.98000  99.87993 100.61809  99.69453 100.07497 100.20479 100.33444 #>   [8079] 100.43406 100.09995  99.65942 100.32946  99.85990  99.87492 100.03999 #>   [8086] 100.31451  99.82986 100.17485  99.94498 100.22974  99.80481 100.09995 #>   [8093]  99.52387 100.00000  99.97000 100.01500  99.59418 100.03499  99.75971 #>   [8100] 100.36932  99.68450  99.76472 100.22974 100.04999  99.95499  99.90495 #>   [8107]  99.89995  99.62931  99.87993  99.61928  99.26732 100.30952 100.29955 #>   [8114] 100.24969  99.94999  99.95999 100.14989 100.20978  99.97000  99.81984 #>   [8121] 100.15987  99.98000 100.06498 100.17485 100.35935  99.73465 100.08996 #>   [8128] 100.12992 100.23971  99.59920 100.00500  99.97000  99.90996 100.44899 #>   [8135] 100.20479 100.14989 100.15488 100.35437  99.43339 100.31949  99.86491 #>   [8142] 100.67274 100.05998 100.20479  99.96499  99.38813 100.21477 100.63797 #>   [8149]  99.60924 100.42908 100.19481  99.52387 100.40916 100.30952  99.94999 #>   [8156] 100.09995 100.31949 100.20978  99.49874  99.94498 100.07997  99.25220 #>   [8163] 100.09495  99.83987 100.32447 100.44899 100.14490 100.08496  99.92497 #>   [8170] 100.26465 100.15488 100.37430 100.10994  99.74969  99.38813 100.09495 #>   [8177]  99.45351 100.63797 100.44899 100.08996  99.98500 100.17485  99.95499 #>   [8184]  99.73465  99.74969  99.65942 100.24969  99.84989 100.01500 100.24470 #>   [8191]  99.95999 100.27462  99.67447  99.73465 100.00500  99.62429 100.05998 #>   [8198] 100.07997  99.64437 100.10494 100.14989 100.07497  99.58916  99.97500 #>   [8205]  99.84989  99.68952 100.14490 100.05498  99.93498  99.83486  99.79980 #>   [8212] 100.33444  99.88493  99.57409 100.02000  99.97500 100.10494 100.45895 #>   [8219] 100.10994 100.17984  99.68952  99.84989 100.23472  99.63935 100.31949 #>   [8226] 100.09495 100.53855 100.26964 100.38426 100.13990 100.14490  99.74467 #>   [8233] 100.04499  99.92497 100.19481  99.87993  99.78978  99.73465 100.12492 #>   [8240] 100.19980 100.39422 100.40418 100.02500 100.05498  99.99000 100.39422 #>   [8247] 100.18483 100.12492 100.22974 100.29457 100.20978  99.68450  99.88493 #>   [8254]  99.96499 100.03999 100.01000  99.98000  99.42837  99.93998  99.87993 #>   [8261] 100.04999  99.57409  99.76973 100.46890 100.29457  99.89494 100.34441 #>   [8268] 100.60815  99.53894 100.04499 100.06998 100.57833  99.95999  99.78477 #>   [8275]  99.54898  99.72462  99.57409  99.69453 100.03499 100.50871 100.10494 #>   [8282] 100.43406  99.92497 100.00500  99.89494 100.33444 100.58330  99.69453 #>   [8289] 100.23971  99.90996 100.06498  99.56405  99.71961 100.03999  99.98500 #>   [8296]  99.89995 100.79683  99.55401 100.21976  99.60924 100.35935 100.06998 #>   [8303]  99.80982  99.69453  99.88994 100.34939 100.09995  99.86491  99.68450 #>   [8310] 100.39920 100.36932 100.85138  99.34284  99.71961  99.63935  99.55903 #>   [8317]  99.94999  99.85990 100.75713 100.27462  99.78477 100.07997  99.63433 #>   [8324]  99.82986  99.82485  99.88994 100.26964 100.35935  99.95999 100.48881 #>   [8331] 100.50871 100.45397  99.77475  99.63935  99.61928 100.36434 100.18483 #>   [8338] 100.14989  99.83987 100.22475  99.89494  99.85990  99.45853 100.14989 #>   [8345]  99.72462 100.19481 100.23472  99.62931 100.34939 100.14989 100.21976 #>   [8352]  99.50377  99.88994  99.66444  99.91496  99.99500 100.23971 100.08496 #>   [8359] 100.16986 100.32946  99.89995  99.89995  99.92998 100.27462 100.14490 #>   [8366] 100.20479  99.83486  99.73966  99.97500  99.91997 100.21477 100.18982 #>   [8373] 100.28460  99.64939 100.11493 100.37430  99.44848 100.08996 100.12492 #>   [8380] 100.13990  99.60924 100.36434  99.91997 100.00500 100.10994 100.46890 #>   [8387] 100.03000  99.82485  99.84488  99.75971 100.54352  99.72963  99.85990 #>   [8394]  99.77475  99.96499  99.95999  99.84989  99.94498  99.90495 100.14989 #>   [8401] 100.35437  99.98000  99.94498 100.08496 100.24969  99.59418  99.35291 #>   [8408]  99.71961 100.59324 100.06498 100.02000  99.70456 100.33942 100.17984 #>   [8415]  99.91496 100.35437 100.01500 100.20978 100.26964 100.45397  99.55903 #>   [8422]  99.65942 100.01000  99.73966 100.15987 100.03499 100.14989  99.98500 #>   [8429] 100.21477 100.23971  99.70456 100.22974  99.64939 100.04499 100.02500 #>   [8436] 100.26465  99.96499 100.65784 100.47885 100.12492 100.05998 100.24969 #>   [8443] 100.52860  99.99000  99.87993  99.90495  99.61426 100.12992  99.55401 #>   [8450] 100.30454 100.25468 100.27462  99.73966  99.93998  99.90495  99.99000 #>   [8457] 100.25966 100.20978  99.83987  99.86992 100.11493 100.43406 100.20479 #>   [8464]  99.67447  99.97500 100.39920  99.71961 100.02500 100.45895  99.89995 #>   [8471] 100.33942 100.08496 100.26465 100.35437 100.16986  99.62429  99.90996 #>   [8478] 100.32447  99.84488  99.35291  99.83987 100.15987  99.99000  99.85990 #>   [8485]  99.77976 100.26964 100.04499 100.06498 100.04499  99.51884  99.89494 #>   [8492]  99.57911 100.42410 100.26964  99.82485  99.87492 100.71743  99.78978 #>   [8499]  99.45351  99.83486 100.05498 100.06498  99.35794 100.20479 100.19980 #>   [8506] 100.03499  99.85489  99.92497  99.81984  99.90495 100.22475  99.74467 #>   [8513] 100.23971  99.63935  99.79980 100.22475  99.57911 100.02000 100.31451 #>   [8520]  99.66444  99.83486 100.08996  99.79980  99.75470 100.22475 100.13491 #>   [8527]  99.93498  99.90996  99.85489 100.34939 100.28460 100.08996 100.44899 #>   [8534] 100.28460 100.40418  99.89494  99.79980 100.02000 100.01000  99.78477 #>   [8541]  99.74467  99.92497  99.67447  99.74467  99.80481  99.89995 100.33444 #>   [8548]  99.85990  99.59418 100.23472  99.34787  99.82485  99.93498 100.35935 #>   [8555] 100.34441  99.90996 100.06998 100.54352  99.84488 100.08496  99.99000 #>   [8562] 100.04999  99.68952 100.18982  99.81984 100.26465 100.17485  99.74969 #>   [8569] 100.19481  99.75971  99.91496  99.65942  99.81483 100.36932 100.04499 #>   [8576]  99.70456 100.35935 100.33942  99.90495 100.15987 100.23971  99.44848 #>   [8583]  99.43842  99.96499 100.21477  99.80982 100.19481  99.92497  99.34284 #>   [8590]  99.46859 100.02000  99.66945 100.01500 100.41912  99.93998 100.62306 #>   [8597]  99.69955  99.91496  99.73465  99.85990 100.12992 100.21976 100.42908 #>   [8604]  99.61426 100.19481 100.24470  99.81984  99.78978  99.73465  99.79980 #>   [8611]  99.79980  99.84989 100.44401  99.97500  99.98000 100.07497 100.19481 #>   [8618]  99.78978 100.02500  99.56907  99.97500  99.64437 100.16986 100.03000 #>   [8625]  99.56907 100.42908  99.78978  99.58414  99.73465  99.62429 100.28460 #>   [8632]  99.75470 100.46392  99.88493 100.18982  99.90495 100.00000 100.32946 #>   [8639] 100.10494  99.90996 100.22475  99.78978  99.59418  99.65440  99.68952 #>   [8646]  99.97000  99.98500 100.27462  99.82986  99.91997 100.22475 100.05498 #>   [8653] 100.46890 100.33444  99.47864  99.89494  99.54396  99.74467  99.97500 #>   [8660]  99.45853 100.16486  99.91997 100.24969  99.60422 100.18483 100.12992 #>   [8667]  99.72963 100.17485  99.90996 100.03000  99.78477 100.06998 100.25966 #>   [8674] 100.00000 100.11993 100.28460 100.01000 100.12992  99.84488 100.35437 #>   [8681] 100.03000 100.14490  99.59920  99.80982 100.22475  99.28746  99.49874 #>   [8688] 100.20978 100.44899  99.92998  99.87492 100.31451  99.47361 100.27462 #>   [8695]  99.72963  99.62931 100.42410 100.17485  99.59418 100.46890  99.93498 #>   [8702]  99.80481  99.83987 100.01500 100.28460  99.87492 100.02000 100.06498 #>   [8709] 100.16986 100.29955  99.77475  99.82986  99.94999 100.40418 100.06498 #>   [8716]  99.41328  99.46859  99.57911 100.05498 100.04999  99.61426  99.93498 #>   [8723] 100.62803  99.94498  99.93498  99.74969  99.44345  99.75470 100.44899 #>   [8730]  99.95499 100.03000 100.49876  99.93498 100.35437 100.21976  99.98000 #>   [8737] 100.19481  99.63935  99.86992  99.57409  99.89995  99.46859  99.73966 #>   [8744] 100.54850  99.64437 100.35437 100.21477 100.35437  99.38310 100.02000 #>   [8751]  99.95499 100.11993 100.09495  99.73966  99.87492 100.03499  99.94999 #>   [8758]  99.38310 100.15987 100.00500 100.13990 100.02000 100.02500 100.10494 #>   [8765]  99.93998 100.42908  99.48367 100.19481 100.29457  99.69955  99.82485 #>   [8772]  99.65440 100.67274  99.99000 100.00500 100.29955  99.38813 100.12992 #>   [8779]  99.66444 100.39422  99.70958  99.37807  99.82485  99.91997 100.06498 #>   [8786] 100.06498  99.84488 100.19481  99.81483 100.45397 100.14490  99.28243 #>   [8793]  99.62429  99.95999 100.09495 100.21976  99.67949 100.33444  99.85990 #>   [8800]  99.92998  99.76973  99.74969 100.44899 100.14989  99.76973 100.02000 #>   [8807] 100.32447 100.12992  99.55401 100.45895 100.01500  99.86992  99.64437 #>   [8814] 100.77698 100.11493  99.84488 100.10494 100.08996  99.61928  99.72462 #>   [8821]  99.41831 100.15987 100.03000 100.31451 100.12492 100.19481 100.08996 #>   [8828] 100.32946  99.84488 100.37430  99.90996  99.31767  99.90495 100.25966 #>   [8835]  99.83486  99.71961 100.00000 100.38924 100.04499  99.73966 100.24470 #>   [8842]  99.75971 100.34939 100.16486  99.77976 100.22475 100.18483  99.88493 #>   [8849]  99.76472 100.30454  99.58414 100.34939  99.81984 100.34939  99.90996 #>   [8856]  99.64437 100.04499 100.21976 100.10994  99.94498 100.21976  99.88493 #>   [8863]  99.50879  99.76472  99.99500 100.39422 100.46890 100.21477 100.54850 #>   [8870] 100.30454 100.09995 100.15987  99.92497  99.57409 100.20479  99.89494 #>   [8877] 100.24969  99.62429 100.46890 100.13491  99.85990  99.82485  99.94498 #>   [8884] 100.01000  99.74969  99.83486 100.07497 100.10994  99.94999 100.01500 #>   [8891] 100.00000  99.79980 100.32946 100.00500 100.09995 100.11993 100.01000 #>   [8898]  99.88493  99.54396  99.62429  99.86491 100.21477  99.78978  99.63433 #>   [8905] 100.35437  99.87993 100.02500  99.87993 100.11993 100.07997  99.85489 #>   [8912] 100.04999 100.51865  99.80982 100.11993 100.30952  99.72963 100.21477 #>   [8919]  99.56405 100.31949 100.21976  99.65942 100.06498 100.47388 100.23472 #>   [8926] 100.16986  99.66444 100.05498 100.56838  99.91496  99.57409  99.73465 #>   [8933] 100.09995  99.56907 100.38924 100.41912 100.18982  99.80982  99.67949 #>   [8940]  99.68450 100.12992  99.88994  99.93998  99.73465  99.67949 100.29457 #>   [8947] 100.07497 100.17984  99.61426  99.58916 100.06498  99.60422  99.95999 #>   [8954] 100.03999  99.88493 100.47885  99.54898 100.31949  99.97000 100.19481 #>   [8961]  99.97000 100.21976  99.58916 100.57336  99.65440 100.01500  99.98500 #>   [8968]  99.85990 100.24470  99.95499 100.28460  99.69453 100.03000  99.99500 #>   [8975]  99.82485  99.99500  99.48869 100.22475  99.93498 100.21477  99.99000 #>   [8982]  99.72462 100.26964  99.86992  99.82986 100.14490  99.91997 100.00000 #>   [8989]  99.84989  99.62931 100.05998 100.21976  99.98000  99.97500  99.92497 #>   [8996]  99.98000 100.24470  99.50377 100.17485  99.49874  99.83486  99.75470 #>   [9003] 100.19481 100.16986  99.60422  99.84989 100.06998  99.92998  99.82485 #>   [9010]  99.79479  99.94498  99.72963 100.19481 100.52860  99.70958 100.29955 #>   [9017] 100.05498  99.82986 100.26465  99.90996 100.16486 100.03999  99.92998 #>   [9024] 100.00500  99.85990 100.43904  99.95999 100.11493 100.06498  99.95999 #>   [9031] 100.23971 100.15987 100.55347  99.70958 100.00000 100.24470  99.72963 #>   [9038]  99.67447 100.14989 100.47885 100.34441 100.20479  99.47361 100.17485 #>   [9045]  99.68450 100.30454  99.67949  99.68450  99.43842  99.61426  99.61426 #>   [9052]  99.87492 100.19980 100.27961  99.36297 100.67274 100.31949 100.07997 #>   [9059]  99.69955  99.98500 100.29955  99.75971 100.08996 100.32946  99.57409 #>   [9066]  99.69453  99.61928  99.89494 100.20479 100.05998  99.75971 100.35437 #>   [9073]  99.95999 100.26465  99.80982  99.77976  99.52387 100.16486 100.03999 #>   [9080] 100.12492  99.73465  99.90495  99.94999  99.83987 100.38426  99.61426 #>   [9087]  99.83987 100.06498  99.95499 100.16986 100.22974  99.70456 100.04999 #>   [9094] 100.04499  99.78978 100.38426 100.54850  99.67949 100.36434 100.15987 #>   [9101] 100.09995 100.24969  99.32271 100.08996 100.51865  99.67447 100.13491 #>   [9108] 100.23472 100.09995 100.15488  99.59920  99.62429 100.27462  99.49874 #>   [9115] 100.03999  99.84488  99.87993 100.19980  99.84989 100.19980  99.62931 #>   [9122] 100.00500 100.27462 100.35437  99.73966 100.21976 100.31949 100.22974 #>   [9129]  99.83987  99.72462 100.12492  99.90495  99.59418 100.34939 100.15987 #>   [9136]  99.77475 100.12992 100.08496  99.84488  99.85990  99.72963 100.31949 #>   [9143]  99.86992  99.82986 100.10494 100.21477 100.32946  99.77976 100.55347 #>   [9150]  99.99000  99.29250 100.07997 100.14490  99.33781  99.55903  99.88493 #>   [9157] 100.49876 100.20479 100.31451 100.49876  99.67949  99.65440 100.14490 #>   [9164] 100.08496 100.39920  99.95499  99.77976  99.63433 100.49378  99.96499 #>   [9171]  99.84989 100.38924 100.08496  99.88493  99.70456 100.04499  99.99000 #>   [9178] 100.23472  99.74467 100.10994  99.87492 100.36434 100.54352  99.58414 #>   [9185]  99.49372  99.75470 100.06498 100.04499  99.60422 100.50373 100.19481 #>   [9192]  99.92497 100.05998  99.34787 100.53358 100.14989  99.99000  99.90996 #>   [9199]  99.72963 100.11993 100.06498  99.65440 100.22974  99.50377 100.02500 #>   [9206]  99.87993 100.30952  99.97500 100.40916  99.77475 100.34939 100.02000 #>   [9213]  99.92998 100.10994  99.98500  99.63935 100.50373  99.84989 100.26964 #>   [9220]  99.90495  99.77976  99.62429  99.92998  99.92998  99.93998  99.82485 #>   [9227] 100.06498 100.36434 100.50373  99.91496 100.17984  99.79980  99.93498 #>   [9234] 100.35437  99.98500 100.65287 100.64293 100.05998 100.00500  99.88994 #>   [9241]  99.98000 100.05498 100.16486  99.49874 100.03000 100.25966  99.65942 #>   [9248] 100.05998  99.74969 100.23472 100.10994 100.32946  99.95999 100.47885 #>   [9255]  99.97500  99.93998  99.97500 100.11493 100.16986  99.47864  99.67949 #>   [9262] 100.31451 100.25468  99.84989  99.93998  99.92497 100.09995  99.86491 #>   [9269]  99.64437 100.04999  99.45853 100.22475 100.05998  99.91997  99.40322 #>   [9276] 100.17984 100.01000  99.97500 100.40418 100.05498  99.92497  99.80481 #>   [9283]  99.53894 100.16986 100.23472  99.77976 100.06498 100.11993  99.54898 #>   [9290]  99.92497 100.03999  99.55903  99.67949 100.26964 100.50373 100.00500 #>   [9297]  99.62931 100.28460 100.00000 100.55347 100.10494 100.41414  99.58414 #>   [9304]  99.77475  99.76472 100.00500 100.19980 100.14490  99.54396 100.36434 #>   [9311]  99.56907 100.14989  99.69955  99.86992  99.60422  99.70958  99.76973 #>   [9318]  99.97500 100.10994  99.74969 100.18982 100.02500  99.70958 100.34939 #>   [9325]  99.88994  99.75470  99.95499  99.79980  99.97500  99.78477  99.76973 #>   [9332] 100.20978 100.16986 100.01500  99.61928  99.76472  99.90495  99.94498 #>   [9339] 100.23971  99.86992  99.60422  99.91997  99.86491 100.44899 100.06998 #>   [9346] 100.02500 100.58330  99.91496 100.36932  99.47864  99.55401 100.03499 #>   [9353]  99.75470 100.44899 100.10994 100.28460 100.21477 100.32946  99.57911 #>   [9360] 100.34441  99.77475 100.66777  99.90996 100.03499  99.74467 100.56341 #>   [9367] 100.27462  99.69453 100.10494  99.92497 100.02000 100.39422  99.85489 #>   [9374] 100.05998 100.18982 100.27462  99.62931  99.86491  99.41831  99.72963 #>   [9381]  99.91997 100.18483 100.41414 100.41912  99.60422  99.97000 100.24470 #>   [9388]  99.70958 100.25468 100.11993 100.32447  99.68952  99.63433  99.47361 #>   [9395]  99.71961  99.93498 100.61312 100.20479  99.94999 100.24969  99.93498 #>   [9402]  99.57409  99.83486  99.86491  99.29250  99.80982  99.45351  99.45853 #>   [9409]  99.50377 100.09495 100.14490 100.24470  99.78477  99.71961 100.22974 #>   [9416] 100.01000 100.42410 100.43406  99.52387  99.89995 100.24969  99.88994 #>   [9423]  99.93998 100.13491 100.18483 100.32447  99.99000  99.93998 100.10994 #>   [9430]  99.93498  99.63433  99.93498  99.91997  99.97000  99.97000  99.85990 #>   [9437]  99.59920 100.52363  99.88493 100.27961  99.66945 100.01000 100.15987 #>   [9444] 100.23472 100.22974 100.49378  99.80982 100.01500 100.48881 100.47885 #>   [9451] 100.18483  99.66945 100.00000 100.46890  99.83486 100.04999 100.37928 #>   [9458]  99.83987  99.64437  99.66945  99.72963  99.93998 100.10494  99.69955 #>   [9465] 100.00000 100.57336  99.90495 100.60318 100.03000  99.75470 100.19980 #>   [9472]  99.39819 100.11993 100.10494 100.18982 100.18982 100.60318  99.68952 #>   [9479]  99.83486 100.23971 100.25468 100.15987  99.99000  99.77976  99.85990 #>   [9486]  99.60924  99.73465  99.86992  99.80982 100.34441  99.97500 100.01000 #>   [9493]  99.82485 100.38924 100.05998  99.90495  99.86992 100.20479 100.16486 #>   [9500]  99.80481  99.68952 100.38924  99.95999 100.28460  99.96499  99.95999 #>   [9507] 100.45895  99.87492 100.04999 100.01500 100.28460 100.13990  99.81483 #>   [9514]  99.76973 100.49378 100.03499 100.10994  99.87993  99.44345  99.87492 #>   [9521]  99.78978 100.31451  99.82986  99.84989 100.40916  99.30257 100.35935 #>   [9528] 100.16486 100.11993  99.33277 100.67770 100.59324 100.42908 100.08496 #>   [9535] 100.61809 100.11493 100.41414  99.52889  99.82986 100.45397  99.83987 #>   [9542]  99.54898  99.62931 100.30952 100.25966  99.70958  99.61928 100.17485 #>   [9549] 100.34939 100.08496  99.58414  99.70456 100.26964  99.82986  99.87492 #>   [9556]  99.88994  99.72963 100.03000 100.17984 100.22974 100.37928 100.40916 #>   [9563] 100.02500 100.69260  99.92998 100.25966 100.01000 100.02000 100.21477 #>   [9570] 100.32946 100.07997 100.32946  99.88994 100.16986 100.72239 100.45895 #>   [9577]  99.80481 100.10994 100.03999 100.02500  99.80982  99.57409  99.63935 #>   [9584]  99.88994 100.36434  99.99000  99.51884 100.11493  99.84488 100.10494 #>   [9591] 100.23971  99.79980  99.86992  99.77475  99.36800 100.43406 100.09995 #>   [9598]  99.44345 100.54850  99.60422 100.37430 100.15987 100.63797 100.66777 #>   [9605]  99.49874 100.05498 100.09495  99.72462  99.46859  99.41328  99.83486 #>   [9612] 100.66777  99.41831 100.41414 100.01000  99.50377 100.02000  99.71961 #>   [9619]  99.56405 100.12992  99.69453 100.07997 100.18483 100.03499 100.03000 #>   [9626]  99.75470 100.49876 100.22974  99.87993  99.70958 100.15488 100.37928 #>   [9633]  99.87492  99.62931 100.02500 100.08496  99.55401  99.97000  99.44345 #>   [9640] 100.47885  99.60422  99.88493 100.02000 100.34441  99.85990 100.07497 #>   [9647]  99.95999  99.90495 100.13990 100.12492  99.94999 100.07497 100.28460 #>   [9654]  99.76973  99.41328  99.80982 100.36434  99.40322 100.20479 100.01500 #>   [9661] 100.10994  99.87993 100.31949 100.07497 100.17485 100.00500  99.99000 #>   [9668]  99.70456 100.03999 100.04999 100.38426  99.91496 100.04999 100.13491 #>   [9675] 100.26465 100.23472 100.67770  99.94498 100.09495  99.69955  99.83987 #>   [9682]  99.42837  99.76472 100.03499 100.25468 100.32946 100.17485  99.62429 #>   [9689] 100.07497  99.76472 100.40418  99.63433 100.22475 100.07997  99.82485 #>   [9696] 100.06498 100.57336  99.57409  99.58414 100.40418 100.27961  99.59418 #>   [9703]  99.40825  99.62931 100.52363 100.36434 100.40418  99.92497  99.98500 #>   [9710] 100.21477  99.94498 100.11993  99.96499 100.36932  99.84989 100.12492 #>   [9717] 100.27462 100.16986  99.85489 100.18982  99.79479  99.81984  99.70958 #>   [9724]  99.94999  99.46356 100.53855 100.14490 100.10494 100.57336 100.22475 #>   [9731] 100.25966 100.30454  99.97000 100.17485 100.11993  99.65942 100.31451 #>   [9738] 100.03000 100.44899  99.69453  99.83486  99.70456 100.18483  99.75971 #>   [9745] 100.38924  99.66945  99.48367  99.62429 100.20978  99.98000  99.72462 #>   [9752] 100.03000 100.14989 100.07997  99.93498 100.30454 100.03499  99.93498 #>   [9759]  99.56405 100.18982  99.80982  99.96499 100.16486 100.30952  99.85990 #>   [9766]  99.67949 100.00000  99.78978  99.71961  99.87993  99.85990 100.09995 #>   [9773]  99.87492  99.90495  99.61426 100.31949 100.01000 100.19481  99.45853 #>   [9780] 100.02500 100.29955  99.77976 100.31451 100.19481 100.33942  99.58414 #>   [9787] 100.23971  99.98500  99.84488 100.40916 100.47388 100.10494 100.03499 #>   [9794]  99.94498 100.28958  99.83987 100.06498  99.88493  99.60924 100.13990 #>   [9801]  99.88493 100.21477 100.37430  99.92497  99.93998  99.94498  99.65942 #>   [9808] 100.41912  99.90996 100.69757 100.20978  99.72462  99.99500  99.88994 #>   [9815]  99.65942  99.55903  99.66444 100.01000 100.44899 100.18483 100.02500 #>   [9822]  99.80481  99.74969  99.77475 100.21477  99.58916 100.03499  99.89494 #>   [9829] 100.10494  99.58414  99.97500 100.39920 100.27961  99.50377  99.84488 #>   [9836]  99.80982  99.85990  99.91496  99.56405  99.79479 100.00500 100.59821 #>   [9843]  99.64939 100.24470  99.95999 100.57336  99.96499  99.69955 100.01000 #>   [9850]  99.98000 100.48881  99.66945 100.11493 100.39422  99.93998 100.30454 #>   [9857] 100.12492 100.27462 100.11493 100.00500  99.89494 100.31949  99.79980 #>   [9864] 100.06498  99.44345 100.10494  99.95999 100.25468 100.10994  99.79479 #>   [9871] 100.16486  99.61928 100.01000  99.87492 100.10494 100.03999 100.66280 #>   [9878]  99.68952 100.07997  99.95999  99.68450 100.06998 100.02500 100.36434 #>   [9885]  99.43339 100.27961 100.42908 100.28460  99.99000  99.93998 100.51865 #>   [9892]  99.68450 100.19980  99.87993  99.98500  99.90495  99.73465  99.94999 #>   [9899] 100.11493  99.68952  99.74969 100.27961  99.98500 100.08496 100.34939 #>   [9906] 100.02500  99.78477  99.69453 100.01000 100.35935 100.03999  99.99500 #>   [9913]  99.77475 100.33444  99.79980 100.10494  99.81984 100.09995 100.12492 #>   [9920] 100.42410 100.53855 100.01500  99.87492  99.90996  99.58916 100.53855 #>   [9927] 100.46890 100.19980  99.63935 100.17984  99.70456  99.83987 100.34939 #>   [9934]  99.71459 100.15488  99.75470  99.55903  99.89995 100.05498 100.00500 #>   [9941]  99.26732  99.27739  99.46859  99.59418 100.32447  99.45853 100.23472 #>   [9948]  99.83486  99.97000  99.77475 100.39920  99.51382 100.19481  99.60422 #>   [9955] 100.20479  99.92998 100.21976 100.28958 100.49876  99.77976 100.02000 #>   [9962] 100.15987  99.81483 100.24470 100.27462 100.34441 100.00500 100.24969 #>   [9969] 100.34939 100.48881  99.91997  99.78477  99.94999 100.16486  99.89494 #>   [9976]  99.72462 100.39920  99.51382  99.87492  99.68450  99.87492 100.31451 #>   [9983]  99.89494  99.99000  99.70456 100.00500 100.04999  99.49874 100.30952 #>   [9990]  99.66945 100.06998 100.04999 100.02500 100.49378  99.62429  99.99000 #>   [9997] 100.27961 100.03999  99.31767  99.92497  99.74467  99.75971  99.91997 #>  [10004] 100.12992 100.18483 100.26964  99.49372 100.41912  99.80982 100.55844 #>  [10011]  99.93998  99.85489 100.31949 100.09495  99.88994 100.09995 100.23472 #>  [10018]  99.63935  99.75971  99.91997  99.90996  99.83486  99.97000 100.29955 #>  [10025]  99.87993 100.11493 100.19481  99.74969  99.72462  99.95999  99.76472 #>  [10032] 100.04999  99.58916  99.88994  99.88493  99.99500 100.29955  99.66444 #>  [10039] 100.09495  99.99500  99.70456 100.31949 100.14989  99.65440  99.91997 #>  [10046]  99.82485 100.16986 100.00500  99.98500  99.87492 100.28460 100.08996 #>  [10053]  99.27739  99.92497 100.16486  99.57409  99.56405  99.95999  99.95499 #>  [10060] 100.23472 100.11993  99.55401 100.24470 100.32946  99.95999 100.10994 #>  [10067]  99.99000 100.04999 100.52363 100.59324 100.33942  99.88994  99.83987 #>  [10074]  99.73966  99.85990 100.42410  99.67949  99.70958  99.69955  99.90996 #>  [10081] 100.07997 100.10494 100.15987  99.94999  99.75470 100.09495 100.66280 #>  [10088] 100.01500  99.40825  99.87492 100.03499 100.26964 100.17485 100.23472 #>  [10095]  99.78477 100.00000 100.04499  99.93998  99.76973 100.02000 100.05498 #>  [10102] 100.24969  99.75470  99.62931 100.37430  99.57409  99.98000 100.40418 #>  [10109] 100.32946 100.54352 100.30952  99.17661  99.46859  99.93998  99.30257 #>  [10116]  99.72963 100.59821 100.26964 100.21976 100.24969 100.08996 100.06498 #>  [10123]  99.68952  99.82485 100.23971 100.12492  99.78978  99.47864  99.84989 #>  [10130] 100.13990  99.38813 100.04999 100.36434  99.89995  99.95499 100.35935 #>  [10137] 100.06998 100.08996 100.46392  99.76973  99.82986 100.15488  99.97500 #>  [10144] 100.50373  99.69453 100.07497  99.75971 100.08996  99.72462 100.11993 #>  [10151]  99.75971 100.26964 100.46890  99.43339  99.87492  99.88493 100.31451 #>  [10158]  99.82986 100.14490 100.22974 100.17984 100.04999  99.93498 100.00500 #>  [10165] 100.15987  99.98000 100.03000 100.54352 100.06998  99.64437 100.16986 #>  [10172]  99.81483  99.68450 100.28460  99.97000  99.89494 100.24969  99.98500 #>  [10179]  99.74969  99.85990 100.40916 100.41912 100.49378 100.23971 100.18483 #>  [10186]  99.57409  99.96499  99.92998  99.81483  99.82986 100.24470 100.40916 #>  [10193]  99.92497  99.49874 100.72239 100.36434  99.65942 100.19481  99.82986 #>  [10200]  99.84488  99.55401 100.41414  99.90495 100.49876  99.92497 100.11493 #>  [10207]  99.86491 100.40916  99.92998  99.82986 100.06498 100.18982  99.97500 #>  [10214] 100.23971 100.40418  99.90495 100.50871 100.25468  99.91496 100.01500 #>  [10221] 100.02000 100.08496  99.97500  99.62931  99.73465  99.68952 100.19481 #>  [10228]  99.56907 100.03999 100.34441  99.41328 100.23472 100.00000  99.73465 #>  [10235]  99.80982  99.45853  99.76973 100.13990  99.47864 100.28958  99.61426 #>  [10242]  99.77475 100.01000  99.59418  99.64939  99.83987  99.58414  99.81483 #>  [10249] 100.26964  99.89995  99.77976 100.02500 100.17984 100.23971 100.44401 #>  [10256]  99.51884  99.65942 100.42908 100.33444  99.79479 100.02000 100.41912 #>  [10263]  99.73465  99.82986  99.83486 100.58330  99.70456  99.66444  99.98000 #>  [10270] 100.01000 100.36434 100.09995 100.11993 100.09995 100.08996  99.68450 #>  [10277] 100.29955  99.87492 100.07997  99.97000  99.94498 100.17984  99.74467 #>  [10284] 100.39422  99.99500  99.70958  99.87492 100.15987 100.33942 100.08496 #>  [10291]  99.78978  99.63935  99.63935 100.31949 100.24470  99.60924 100.29955 #>  [10298] 100.00500 100.31949  99.58916  99.81984 100.18483  99.61928 100.15488 #>  [10305]  99.80982 100.15987 100.25966  99.64437 100.34441 100.21477 100.10994 #>  [10312] 100.43904  99.50879 100.22974 100.33942 100.37928 100.18982 100.07997 #>  [10319] 100.01500  99.79479  99.73465 100.10994  99.86992 100.20479  99.57911 #>  [10326]  99.80982 100.42410 100.36932 100.25468 100.32447 100.00000 100.29457 #>  [10333]  99.48367 100.29457 100.03000 100.16486  99.88994 100.21976 100.17984 #>  [10340] 100.15987  99.68952  99.97000 100.24470  99.89494  99.69955 100.40916 #>  [10347]  99.93998 100.18982  99.82485 100.16486  99.23709  99.88493 100.36434 #>  [10354] 100.31451 100.09995 100.19481 100.03000  99.90495 100.12492  99.67949 #>  [10361]  99.49372  99.91496 100.55844  99.88493  99.53894  99.44848  99.77475 #>  [10368] 100.09995  99.86992 100.18483 100.07997  99.86992 100.02000 100.65287 #>  [10375] 100.01000 100.26465 100.29457 100.35935 100.28460  99.80481 100.32946 #>  [10382]  99.83486 100.28460  99.89995 100.14490 100.08496  99.70456  99.92497 #>  [10389]  99.98500 100.07497 100.53855 100.08996  99.79980  99.66945 100.62803 #>  [10396] 100.29955  99.55903 100.63797  99.81984 100.52860 100.08996  99.48367 #>  [10403]  99.55401 100.16986  99.67949 100.05498  99.61928  99.63433  99.73966 #>  [10410]  99.98500  99.98000 100.10494 100.15987  99.88994  99.92497  99.82485 #>  [10417] 100.31949 100.32447  99.82986  99.82986 100.38924  99.65440  99.57911 #>  [10424]  99.30257  99.79479  99.82485  99.54898 100.07997  99.65440  99.67447 #>  [10431]  99.90495 100.00000 100.06498 100.50373  99.82485 100.06998 100.11993 #>  [10438] 100.11493 100.26964 100.24969 100.07997  99.92998 100.20479 100.00000 #>  [10445]  99.72963 100.17485  99.69955 100.34441  99.91997  99.81483 100.09995 #>  [10452]  99.48869  99.88994 100.40916 100.13491  99.89494 100.13491  99.69955 #>  [10459] 100.40418 100.52363  99.79479  99.62429 100.21976  99.83486  99.58414 #>  [10466] 100.37430  99.78477  99.48367  99.47864  99.93998 100.39422  99.98500 #>  [10473] 100.37928  99.94498  99.84989  99.59418  99.99500 100.20978  99.68450 #>  [10480]  99.97000  99.99000  99.87993 100.19980  99.76973  99.94999 100.16486 #>  [10487] 100.27961 100.11493  99.94498 100.18982 100.00500 100.32946  99.82485 #>  [10494] 100.35437  99.54898 100.33942  99.58916  99.82485 100.18982 100.55844 #>  [10501]  99.88994  99.89995 100.38924  99.92497 100.52363 100.17485  99.79980 #>  [10508]  99.73966 100.11993  99.99000  99.78477  99.76973  99.83987  99.86491 #>  [10515] 100.03499  99.71961  99.90495 100.16986  99.95999  99.99500 100.09995 #>  [10522]  99.98000 100.39422 100.17984 100.02500  99.72462  99.84488 100.21976 #>  [10529]  99.75971  99.72462  99.65942 100.02000  99.73966  99.49874  99.84488 #>  [10536] 100.20479 100.18483  99.95499  99.87993 100.33942 100.11493  99.86992 #>  [10543]  99.54396  99.36297  99.60422 100.05498 100.22475  99.91496  99.72963 #>  [10550] 100.47388  99.75971  99.67949  99.84488 100.08996 100.11993  99.74467 #>  [10557] 100.20978 100.10994 100.63300  99.37807 100.18982 100.05498  99.52387 #>  [10564] 100.16486 100.22974  99.66444  99.66444 100.13990 100.14490 100.33942 #>  [10571] 100.36932  99.51382 100.94553  99.99500  99.76472  99.77475 100.13491 #>  [10578]  99.93498 100.40418 100.24470 100.01000  99.87492 100.37430 100.43904 #>  [10585]  99.96499 100.19980 100.19481  99.62429  99.74467  99.60924  99.59920 #>  [10592]  99.44345  99.69955 100.22974  99.82986 100.31949 100.68764  99.51382 #>  [10599]  99.82986  99.82485  99.94999  99.76973  99.97500 100.05498 100.21477 #>  [10606]  99.91997 100.26465  99.90996 100.12992  99.80982 100.16986 100.07997 #>  [10613] 100.08996  99.96499 100.32447 100.00500 100.22974 100.06498  99.93998 #>  [10620]  99.83987  99.71459  99.36297 100.36434  99.33781  99.79479 100.11993 #>  [10627]  99.93498 100.25966  99.72963 100.21477  99.76472  99.76973  99.39819 #>  [10634]  99.70958  99.90996 100.15987 100.11993  99.36297 100.14490 100.23472 #>  [10641] 100.28958  99.93998  99.87993 100.03999 100.15488 100.26964  99.86992 #>  [10648] 100.94058  99.90495  99.50377  99.89494  99.78477 100.12992 100.30952 #>  [10655] 100.18982 100.42410  99.92998  99.74969  99.80982  99.85489 100.14490 #>  [10662] 100.25966  99.72963  99.86491  99.83486 100.35935  99.72963  99.78978 #>  [10669]  99.90996 100.02500  99.67447  99.76472 100.01000 100.48881 100.20978 #>  [10676]  99.77976 100.10994 100.10994  99.72462 100.14989 100.60318 100.47388 #>  [10683] 100.06498 100.03499  99.90996  99.87993  99.52387  99.94498 100.10994 #>  [10690] 100.15488  99.29250 100.42908  99.58916  99.28746 100.14490  99.58414 #>  [10697]  99.92998  99.87492 100.01500 100.24470 100.69260  99.97000 100.39920 #>  [10704] 100.03000  99.98500  99.64437 100.13491  99.71459  99.95499 100.29955 #>  [10711] 100.60815 100.13990  99.54898 100.71743 100.03999  99.56405 100.00000 #>  [10718]  99.48367  99.90495  99.91997 100.20479 100.06998 100.15488 100.46890 #>  [10725]  99.86491 100.69757 100.06498  99.97500 100.30454 100.46392 100.29955 #>  [10732]  99.74969  99.61928 100.08496 100.35935 100.69260 100.11993  99.97000 #>  [10739]  99.96499  99.87492  99.91496 100.10494  99.87993 100.12992  99.70958 #>  [10746] 100.12492  99.99500 100.11993  99.31767  99.74467  99.78978 100.23971 #>  [10753] 100.14490 100.77698 100.31949 100.02500 100.03499  99.52387  99.91496 #>  [10760] 100.04499 100.13491 100.16486 100.26465  99.49372 100.18483 100.08496 #>  [10767]  99.85489  99.94498 100.04999  99.78477 100.39920  99.80481  99.94999 #>  [10774]  99.80982  99.91997 100.19980 100.01000 100.24969 100.45895 100.09495 #>  [10781] 100.54352 100.04999 100.25468  99.93998  99.83486  99.97500 100.12492 #>  [10788] 100.15488  99.76472  99.77475 100.28958  99.78477 100.60318 100.02000 #>  [10795] 100.07497 100.39920  99.89995 100.60318  99.88493 100.00000 100.02500 #>  [10802] 100.07997  99.69955 100.51865 100.05998 100.06998 100.00500 100.12492 #>  [10809]  99.73465  99.93498 100.27462  99.72963  99.90495  99.56405 100.13491 #>  [10816]  99.98500  99.90495 100.24470 100.39422 100.10994 100.03000  99.80982 #>  [10823] 100.16486  99.71961 100.23971 100.28460 100.10994 100.04499  99.83486 #>  [10830]  99.82485 100.26964  99.69955  99.85990  99.99000  99.70958 100.45397 #>  [10837]  99.87993  99.56907  99.90996  99.97000  99.74467  99.89995 100.11993 #>  [10844] 100.40916 100.06998 100.39920 100.25468  99.77976 100.19481 100.25468 #>  [10851] 100.27462  99.86491 100.31949  99.82986  99.56405  99.91496  99.73465 #>  [10858]  99.87492 100.32946  99.70456 100.28460  99.63433  99.78978 100.15488 #>  [10865]  99.70958 100.24969  99.93998  99.67949 100.27462 100.13990  99.84989 #>  [10872] 100.38426 100.31949  99.86491  99.84989  99.60924 100.03499  99.80982 #>  [10879]  99.78978 100.38426 100.37430  99.97500 100.42908  99.70456 100.08496 #>  [10886]  99.75470  99.41831 100.11993  99.68952  99.72963  99.51884 100.26465 #>  [10893] 100.18483 100.05998 100.40916  99.87492  99.92998 100.19481  99.94999 #>  [10900] 100.40916  99.80982 100.08996  99.67949 100.34441  99.98500 100.17984 #>  [10907]  99.82986 100.54352  99.75971 100.42908  99.94498  99.64939  99.64939 #>  [10914] 100.40916  99.75971  99.67949  99.49874 100.25468 100.45895  99.98000 #>  [10921] 100.49378 100.28958  99.54898  99.81984  99.67447 100.17984  99.88994 #>  [10928]  99.57911  99.90996 100.01500  99.94498 100.26465  99.80481  99.64939 #>  [10935] 100.08496 100.53855  99.94498 100.07497  99.92998 100.14490 100.04999 #>  [10942] 100.38924 100.12492  99.82485 100.18982  99.99500  99.87492 100.61312 #>  [10949]  99.80982 100.32946  99.82986 100.03499 100.18982  99.81483  99.64939 #>  [10956]  99.75470  99.74969  99.80481 100.29955 100.10994 100.42410 100.11993 #>  [10963] 100.66777 100.44401 100.31451  99.76973  99.93998 100.44899  99.87492 #>  [10970]  99.92497  99.73465 100.10994 100.31949 100.24470 100.33444  99.95999 #>  [10977] 100.50373  99.80481 100.22974  99.58916  99.77475  99.59418  99.74467 #>  [10984] 100.24470 100.33942  99.78477 100.26465  99.66945  99.99000  99.65440 #>  [10991] 100.11993 100.08996 100.33942 100.06998  99.35291 100.00000 100.20978 #>  [10998] 100.32447  99.84989  99.83486 100.19481 100.09995 100.08996  99.58414 #>  [11005]  99.88493 100.10994  99.68952  99.78978  99.84488  99.77475  99.85489 #>  [11012] 100.11493 100.56341 100.13990 100.40418 100.09995  99.93998  99.57409 #>  [11019] 100.23971 100.00500  99.75470  99.89995 100.30454  99.54898  99.88994 #>  [11026]  99.82986 100.20978 100.20479  99.76973 100.28958  99.88493 100.31949 #>  [11033] 100.13990 100.34939  99.71961 100.28460 100.63797  99.36800 100.08996 #>  [11040] 100.29955  99.81984 100.04999  99.95499  99.92497  99.54396  99.82986 #>  [11047] 100.60815 100.12992 100.27961 100.37430  99.90495 100.36434  99.73465 #>  [11054]  99.89494 100.14490 100.07997  99.80481  99.79980  99.66444 100.58330 #>  [11061]  99.60422 100.84146  99.99000  99.77976 100.42908  99.68450 100.19980 #>  [11068]  99.83987 100.41414 100.01500 100.36434 100.62803  99.67949 100.06998 #>  [11075]  99.89494  99.53391 100.37928  99.66945 100.40916  99.73966  99.79980 #>  [11082] 100.34441 100.15987 100.52363  99.92497  99.66444 100.38426  99.98500 #>  [11089] 100.16986 100.01000  99.64437 100.31451 100.43406  99.76472  99.98000 #>  [11096] 100.00500  99.56907 100.24969 100.24969  99.78477 100.44899 100.55347 #>  [11103] 100.00000  99.64939 100.19980  99.97000  99.94999 100.50871 100.57833 #>  [11110] 100.26465  99.90996  99.94999  99.27235  99.33277 100.09495 100.32946 #>  [11117] 100.22475 100.48881 100.24470 100.23472 100.30952  99.95499 100.30952 #>  [11124]  99.66444  99.88994  99.80481  99.76472 100.12492  99.65942  99.83486 #>  [11131] 100.36434 100.03999  99.93998 100.59324 100.41414  99.80982  99.94999 #>  [11138]  99.56907  99.98000 100.15987  99.41831  99.75470  99.58414  99.67949 #>  [11145] 100.36434 100.55347 100.33444 100.04999 100.29457  99.97500 100.06498 #>  [11152]  99.93498 100.22475 100.03999 100.19980  99.74969 100.13990  99.95499 #>  [11159]  99.47361  99.70456 100.12492 100.69757 100.26964  99.76472 100.32447 #>  [11166] 100.39422  99.98500  99.91997 100.27961  99.93998 100.04499 100.36932 #>  [11173] 100.06998  99.88493  99.83486  99.68952 100.46890  99.95999 100.06998 #>  [11180] 100.04499  99.91997 100.29955 100.50373 100.21976 100.40916 100.24969 #>  [11187] 100.26964  99.54396 100.25966  99.82485  99.85489 100.04499 100.32447 #>  [11194]  99.66945  99.98000 100.26465 100.30454  99.92497 100.44899 100.60318 #>  [11201] 100.21976 100.04499  99.83987  99.99000  99.91496  99.75971 100.05498 #>  [11208] 100.22974 100.07497 100.27462  99.67949 100.17984 100.25468  99.78477 #>  [11215]  99.62429  99.62931  99.86491 100.15488  99.58414 100.19980 100.04999 #>  [11222]  99.85489  99.91997  99.65942  99.64939  99.72462 100.00000  99.35794 #>  [11229]  99.30257  99.45351  99.98000  99.89995  99.67949 100.17984  99.75971 #>  [11236] 100.44401 100.49876 100.18483 100.04499  99.61928  99.81984  99.72462 #>  [11243] 100.03999  99.95499  99.59920  99.58414  99.58916 100.12992  99.65942 #>  [11250]  99.64437 100.21477  99.76973 100.02000 100.11493 100.06998  99.94999 #>  [11257] 100.54850  99.77976  99.95499  99.78978  99.71459 100.27961  99.99500 #>  [11264] 100.04499 100.19481  99.83486 100.12992 100.08996 100.11493  99.38310 #>  [11271] 100.27961  99.49372  99.54396  99.64939  99.82485  99.94999  99.65942 #>  [11278]  99.60422  99.92497  99.48367 100.40916 100.61312  99.97500 100.27462 #>  [11285] 100.28460  99.88493  99.69955  99.85489  99.92998 100.51368 100.14989 #>  [11292] 100.06998 100.14490  99.70456  99.62931  99.84989 100.13990 100.00000 #>  [11299]  99.40825 100.24470  99.69453 100.29955 100.19481 100.46392  99.99000 #>  [11306] 100.30952 100.04499 100.24470  99.72462 100.20978  99.88493  99.50879 #>  [11313] 100.38924 100.02000  99.73465  99.51382 100.07997  99.69955  99.73465 #>  [11320]  99.69955 100.07997 100.07497  99.94498  99.75470 100.12492  99.45853 #>  [11327] 100.05498  99.94498  99.80481 100.22974  99.62429 100.01500 100.29955 #>  [11334]  99.65942  99.81984  99.72462 100.46392  99.94498 100.12492 100.40418 #>  [11341]  99.74467 100.51865 100.52860  99.62429 100.24969 100.46890  99.63433 #>  [11348]  99.91496 100.44401 100.42410 100.40418  99.92497  99.52889  99.78978 #>  [11355] 100.01000 100.03999 100.14989 100.11993  99.82485  99.54396 100.13491 #>  [11362] 100.39422 100.15488 100.05498  99.55401  99.91496 100.11493 100.02500 #>  [11369] 100.09495  99.82485  99.89494  99.79980 100.23971 100.26964  99.41831 #>  [11376] 100.15488 100.11993 100.06498 100.02500  99.90996  99.91997 100.20479 #>  [11383] 100.10994 100.34939  99.94999  99.91496  99.37303  99.76973 100.12992 #>  [11390]  99.78978 100.47388 100.23472 100.25468 100.18483  99.80481  99.74969 #>  [11397] 100.06498 100.02500 100.28958  99.86491 100.10494 100.01000 100.38426 #>  [11404] 100.36932 100.34441  99.52889  99.93998 100.11993 100.09495  99.94498 #>  [11411]  99.92998 100.12492 100.01500 100.36932  99.64437 100.03499  99.83987 #>  [11418] 100.08496 100.49378  99.46356 100.18982  99.57911 100.06998  99.71961 #>  [11425] 100.56838  99.96499  99.73966  99.97000  99.74969 100.04999  99.80982 #>  [11432]  99.86992  99.73465 100.00500 100.04999  99.22701 100.35437  99.95999 #>  [11439]  99.94999 100.11493 100.02500  99.61928  99.96499  99.90996  99.59418 #>  [11446] 100.07997 100.22974 100.07497 100.00000 100.10494  99.89494  99.71961 #>  [11453]  99.59920 100.04999  99.63935  99.71961 100.31949 100.10494  99.53391 #>  [11460]  99.62429 100.44899  99.70456 100.21976  99.89494 100.22475  99.61426 #>  [11467] 100.08496 100.21477 100.22475  99.75971 100.31451 100.07997 100.06998 #>  [11474]  99.99000 100.15488  99.55903  99.93998  99.79479 100.02500  99.77475 #>  [11481] 100.15987 100.26465 100.05998 100.22475 100.07497  99.54396 100.60815 #>  [11488] 100.12492 100.13491  99.62429  99.90996 100.02500  99.68952 100.47885 #>  [11495]  99.58414  99.96499 100.10994  99.89494 100.33444  99.98000  99.71961 #>  [11502]  99.98500 100.29955  99.63935 100.34939  99.93998 100.32946 100.12492 #>  [11509]  99.82485  99.67447 100.20978  99.34284 100.35935 100.29955  99.92998 #>  [11516] 100.36932  99.59418 100.04999 100.04499 100.22475 100.02000 100.14989 #>  [11523] 100.18483  99.72462  99.87492 100.06998  99.69453 100.16486 100.20479 #>  [11530]  99.69955 100.35437 100.62306 100.25468  99.63935  99.92497  99.30257 #>  [11537] 100.47885  99.75971 100.55844  99.90495  99.78477  99.78978  99.73465 #>  [11544]  99.78477 100.45397 100.35437  99.70958 100.07997  99.79479 100.21976 #>  [11551] 100.18982 100.28958  99.72462 100.11993  99.63935  99.70958 100.09995 #>  [11558] 100.01000  99.72963  99.59418 100.01000 100.01000 100.27462  99.87492 #>  [11565] 100.24470  99.53391 100.19481  99.93498 100.10494 100.09995 100.04499 #>  [11572]  99.73966  99.74467 100.38426  99.83486 100.40418 100.19481  99.97000 #>  [11579] 100.00000  99.65942  99.92497  99.97000  99.99000  99.74969 100.35935 #>  [11586]  99.91997  99.90996 100.01500  99.85990  99.54898  99.80481 100.23971 #>  [11593]  99.47864  99.59920  99.56405  99.88493 100.10994 100.47388 100.08496 #>  [11600] 100.53855  99.95999 100.00000 100.12992  99.83987 100.14490 100.21477 #>  [11607]  99.95499 100.26964  99.69453 100.33444  99.60422 100.70750  99.76973 #>  [11614] 100.31949 100.41912  99.66444 100.08996  99.77475 100.09495  99.74467 #>  [11621] 100.05998 100.03000 100.53855 100.13491  99.67949  99.40322  99.94999 #>  [11628] 100.59324  99.54898 100.17984  99.66945 100.06998 100.13491  99.46859 #>  [11635] 100.39422 100.61809 100.19980  99.92497 100.07997  99.50377 100.01000 #>  [11642]  99.95499  99.99500  99.91496  99.82485 100.29457 100.02500  99.99500 #>  [11649] 100.04499  99.80982  99.86491 100.18982  99.42837  99.53391  99.79479 #>  [11656]  99.85990 100.01500  99.79479  99.63935  99.58414  99.69453 100.06498 #>  [11663]  99.41328  99.89995  99.83987  99.94498  99.65942  99.98500  99.94498 #>  [11670]  99.56405  99.56405  99.52387 100.19481 100.08996 100.30454 100.46392 #>  [11677] 100.08996  99.82986  99.90996  99.82986  99.70958  99.76472  99.85990 #>  [11684] 100.05498 100.49876 100.13990  99.95999  99.75971 100.04499 100.00000 #>  [11691]  99.57911  99.98500 100.73232  99.66444  99.66945  99.91496 100.29955 #>  [11698]  99.52889 100.44899 100.42410  99.81984  99.89995 100.36932 100.29457 #>  [11705] 100.08496  99.46356 100.13990 100.12992  99.78978 100.14490  99.93498 #>  [11712]  99.82485 100.09995  99.69453  99.65942  99.68952  99.92998 100.00500 #>  [11719] 100.29955 100.23472  99.65440 100.37430  99.75971 100.02000 100.03000 #>  [11726]  99.68450 100.17485  99.97500  99.71961 100.05498  99.72963  99.92497 #>  [11733] 100.30454 100.06498  99.43339 100.71246 100.20978 100.03000 100.19980 #>  [11740] 100.08996 100.40916  99.97000 100.05998  99.61928  99.70456 100.51368 #>  [11747] 100.24969  99.87492  99.63935  99.71961  99.86992  99.84488 100.34939 #>  [11754] 100.31949  99.50377  99.98000  99.60924 100.15987 100.26964  99.66945 #>  [11761]  99.85990  99.80982  99.68450 100.25468  99.81984  99.72963 100.27462 #>  [11768] 100.04999  99.71961 100.03499  99.53391 100.14490 100.11493  99.98000 #>  [11775] 100.73232  99.74467  99.91496 100.08496  99.83486  99.97000  99.64939 #>  [11782] 100.46890 100.29955 100.23472 100.35437  99.70456  99.80982 100.11993 #>  [11789]  99.83486 100.56838  99.33277  99.84989 100.05498  99.70958  99.91997 #>  [11796] 100.04499  99.44345 100.05498  99.51382 100.00000  99.40322 100.00500 #>  [11803]  99.83987 100.34939 100.13990 100.19980 100.31949 100.26964  99.81483 #>  [11810] 100.49378 100.11993 100.05998 100.72239 100.02500 100.05498  99.90495 #>  [11817] 100.36434  99.58916 100.29955  99.69955  99.97000  99.92998  99.96499 #>  [11824] 100.30952 100.01500 100.20479  99.74467  99.95999  99.21693  99.84488 #>  [11831]  99.79980 100.01000  99.68450  99.83987 100.45895 100.29457 100.27462 #>  [11838] 100.38924 100.47885  99.68450 100.16986 100.47388 100.11993 100.02500 #>  [11845]  99.78978  99.40322 100.16986 100.15987  99.92497  99.79980 100.19481 #>  [11852]  99.41328  99.83486 100.18483 100.75713 100.06498  99.60924  99.72462 #>  [11859]  99.64939 100.06498 100.40916 100.37430 100.35935  99.92998  99.38813 #>  [11866]  99.61426  99.74467  99.58916  99.97000 100.28460  99.72462 100.10494 #>  [11873] 100.09995  99.94498  99.82485 100.07997  99.75971 100.09495  99.93998 #>  [11880]  99.72963 100.56838  99.98000  99.97500  99.82485 100.61809  99.91997 #>  [11887]  99.59418 100.05498  99.86992 100.29955  99.69955 100.30952 100.57833 #>  [11894] 100.16986  99.58916 100.10994 100.03999  99.85990  99.70456 100.24969 #>  [11901] 100.11493  99.80481 100.37928 100.08996 100.17984  99.90996 100.28460 #>  [11908]  99.94999 100.00000  99.44345  99.80982 100.00500  99.78477 100.45397 #>  [11915] 100.15488 100.35935  99.99500 100.51368 100.40916  99.51382 100.38426 #>  [11922] 100.31949 100.23472 100.09995 100.27961  99.57911  99.91997  99.81483 #>  [11929]  99.80481 100.00000 100.34939 100.10494  99.87993  99.95999  99.95999 #>  [11936]  99.97500 100.17984  99.72963  99.90495  99.75971 100.14490  99.74467 #>  [11943] 100.34939 100.11493 100.14490  99.89995  99.90495 100.01500  99.89995 #>  [11950] 100.11493  99.99500 100.19481  99.78978 100.14490  99.78477  99.60422 #>  [11957]  99.82485  99.71961  99.78477  99.74467  99.84989 100.29955 100.23971 #>  [11964]  99.59418 100.06998  99.85990 100.46392  99.93998  99.79980  99.58916 #>  [11971]  99.97500 100.57833 100.18483  99.64939 100.32447 100.39422 100.19481 #>  [11978]  99.69453  99.64437 100.22974  99.91496 100.09495 100.34441  99.92497 #>  [11985] 100.00000 100.32447  99.54898 100.49378  99.65942  99.97000 100.24969 #>  [11992]  99.92497 100.09995  99.82986 100.34441 100.04999  99.84989  99.83486 #>  [11999] 100.09995 100.43406 100.28460  99.73966  99.87492 100.29457  99.51884 #>  [12006] 100.01000 100.17984 100.17485  99.67949  99.81984  99.63935  99.54898 #>  [12013] 100.16986  99.99000 100.20479 100.12992  99.88493 100.13990  99.55903 #>  [12020]  99.70456 100.10494 100.10994 100.74721 100.38924  99.57409 100.16486 #>  [12027] 100.32447  99.67447 100.28958 100.19481  99.92497 100.21976 100.04499 #>  [12034]  99.98000  99.92497  99.62931 100.01000  99.64939  99.64437 100.08996 #>  [12041]  99.71459  99.84488  99.40322 100.03000 100.10994  99.89494 100.04499 #>  [12048] 100.21477  99.93998  99.94498 100.03499 100.09495  99.87492 100.35935 #>  [12055] 100.18483 100.07497  99.80982  99.65942  99.82485 100.17984 100.61809 #>  [12062] 100.17984  99.87492 100.16986  99.54396  99.51382  99.56405 100.22475 #>  [12069]  99.93498  99.52387  99.43842 100.22475  99.84488  99.74969 100.00000 #>  [12076] 100.15987 100.34441 100.08996  99.66444  99.47864 100.29457  99.87993 #>  [12083] 100.12492 100.42908 100.30454  99.88493 100.12992 100.11993 100.00000 #>  [12090] 100.03000  99.94999  99.45853 100.68267  99.86491 100.09495 100.00500 #>  [12097]  99.96499 100.07997  99.69955  99.97500  99.91997 100.23971 100.48383 #>  [12104] 100.23971 100.01000  99.92497  99.61928  99.84488 100.09995  99.78477 #>  [12111]  99.51884  99.92497  99.70456  99.62429 100.13990 100.02000  99.80982 #>  [12118]  99.62931  99.93498  99.91997  99.51884 100.25966  99.94498  99.67447 #>  [12125]  99.82485  99.75470  99.63935 100.12492  99.79980  99.88994  99.89995 #>  [12132]  99.89995 100.20978 100.53855  99.75470  99.97000  99.58414 100.11993 #>  [12139] 100.33444 100.10994 100.06498 100.19980 100.29955 100.50373  99.84488 #>  [12146] 100.05998 100.38426  99.98500 100.35437 100.00000 100.14490  99.65942 #>  [12153]  99.83987 100.35437 100.08496 100.74721 100.30454  99.47361 100.18483 #>  [12160] 100.24969  99.98500  99.63433 100.03499 100.17485 100.30454 100.28958 #>  [12167]  99.92497  99.75470  99.95999  99.51884 100.19481 100.65287  99.99500 #>  [12174]  99.49372 100.24969 100.35437 100.28460 100.46392 100.10994  99.86992 #>  [12181]  99.62429 100.05498  99.94498  99.61426  99.72963 100.07497  99.94498 #>  [12188] 100.09495 100.03999 100.16986  99.84488 100.09995  99.95999 100.26465 #>  [12195] 100.08496  99.97500  99.95999 100.31451 100.36932  99.75971  99.86992 #>  [12202]  99.89995 100.41414  99.97000  99.70456  99.65942 100.10494 100.19980 #>  [12209] 100.55844  99.99500 100.37928 100.46392 100.05498 100.14989 100.00500 #>  [12216]  99.84989 100.06998 100.45397  99.99500  99.73966 100.30454 100.28460 #>  [12223]  99.98500  99.75971  99.99500 100.09495  99.83987 100.18982 100.32946 #>  [12230]  99.92998 100.29955  99.38813 100.03499  99.85489 100.11993  99.63935 #>  [12237] 100.34441 100.01500 100.03999 100.14989 100.11493  99.87492 100.03499 #>  [12244]  99.79479  99.93998 100.22475  99.70456 100.17984 100.12992  99.70456 #>  [12251] 100.02500 100.02000  99.72462 100.12492 100.27462  99.76973  99.79479 #>  [12258]  99.81483 100.22974 100.25468  99.66945  99.73966 100.14989  99.68952 #>  [12265]  99.93998  99.70958  99.98500  99.65942  99.76472 100.46392 100.59821 #>  [12272]  99.71961 100.14989  99.93498  99.66945 100.01500 100.44401 100.61809 #>  [12279] 100.12992  99.92998 100.13990 100.03499  99.67949  99.90495  99.63935 #>  [12286]  99.64437  99.63433  99.72462 100.16986 100.32447  99.92998  99.98000 #>  [12293] 100.25966 100.86625 100.40916 100.10994  99.79479  99.91997 100.31949 #>  [12300]  99.67447  99.97000  99.47361  99.80481  99.88493  99.96499  99.88493 #>  [12307] 100.17485 100.11993  99.63935  99.86491  99.84488 100.25468  99.44345 #>  [12314]  99.81483  99.70456  99.73465 100.42908  99.87993  99.65942 100.10994 #>  [12321] 100.34441  99.91496 100.33444  99.60924 100.39422 100.11993 100.46890 #>  [12328]  99.74969  99.57911 100.19481 100.00000  99.93998 100.54352 100.52363 #>  [12335]  99.57911 100.25966  99.84989  99.71459  99.81483  99.53894  99.94498 #>  [12342]  99.69955 100.53358  99.56405 100.26465  99.94999  99.82986 100.35935 #>  [12349]  99.85990  99.73966 100.04999 100.12492 100.00000 100.07997 100.26465 #>  [12356]  99.64437  99.84989 100.26465  99.53391  99.98500  99.97500 100.18982 #>  [12363] 100.65784  99.83987 100.26964 100.11493 100.08496 100.20479 100.47388 #>  [12370] 100.37928  99.75971  99.66945  99.85990  99.71961  99.83486 100.38924 #>  [12377] 100.05498 100.46392 100.37430  99.70958 100.05998 100.50373 100.08496 #>  [12384]  99.91496  99.70456 100.02500  99.83486 100.15987 100.04999 100.41414 #>  [12391]  99.83987  99.39819 100.01000  99.64437  99.97000  99.95499  99.98000 #>  [12398]  99.76973 100.24470  99.66444  99.66945 100.55347  99.82485 100.09995 #>  [12405] 100.24470 100.04499  99.86491 100.04499 100.03999 100.03000 100.12992 #>  [12412]  99.73465  99.97000 100.34939  99.76472 100.50871  99.45351 100.16486 #>  [12419] 100.13990 100.34441  99.64437 100.68764  99.87492 100.08496  99.74467 #>  [12426]  99.85990 100.04499  99.95499 100.15987  99.60422  99.89494  99.74467 #>  [12433]  99.91496 100.48383 100.16986 100.00500  99.89995 100.34939 100.13990 #>  [12440] 100.39422 100.10494 100.04999 100.37928  99.78477 100.02500  99.95499 #>  [12447] 100.38924  99.47361 100.08496 100.39920  99.79479  99.89494  99.97500 #>  [12454] 100.00500 100.32946 100.06498 100.19481 100.11493 100.84146 100.07497 #>  [12461] 100.15488 100.28460  99.78978 100.54352  99.51382 100.28460 100.28958 #>  [12468] 100.53358 100.19980  99.48869 100.44401  99.95999  99.94999  99.68450 #>  [12475] 100.05998 100.11493 100.27462  99.83486  99.71459  99.86992  99.76973 #>  [12482] 100.28958  99.66444 100.14490 100.10994  99.89995  99.84488 100.18483 #>  [12489] 100.31949  99.92497  99.58414 100.35437  99.91997 100.19481  99.60422 #>  [12496] 100.21477  99.87993 100.13990  99.80481 100.34939 100.27462 100.44899 #>  [12503] 100.17485 100.22475  99.79980  99.55903 100.14989  99.60422 100.31949 #>  [12510]  99.92497  99.90495  99.44848  99.63433  99.87993  99.87492 100.47388 #>  [12517] 100.09495  99.58916 100.23472 100.16486  99.46356 100.43406  99.89494 #>  [12524]  99.94498 100.03999 100.02000  99.64437 100.02500  99.60924 100.16486 #>  [12531]  99.85489 100.26964  99.60924 100.00500 100.05998  99.75971  99.98000 #>  [12538] 100.38924  99.40825 100.00500  99.81483  99.92998  99.59418 100.06998 #>  [12545]  99.86491  99.95999 100.54850  99.67949  99.80982  99.58414  99.72963 #>  [12552]  99.55903  99.77475  99.57409  99.70958 100.46392  99.59418 100.30454 #>  [12559]  99.73966 100.55347 100.46392 100.33444 100.07497  99.88493 100.26465 #>  [12566]  99.64939 100.15488  99.74969 100.09495  99.87492  99.83486  99.89494 #>  [12573]  99.84488 100.06998 100.09995 100.33942 100.29457 100.12992  99.77976 #>  [12580] 100.06498 100.19980 100.34939  99.98500  99.99000 100.44899  99.94498 #>  [12587] 100.56838  99.89494  99.40825  99.86491 100.21477  99.81483 100.44401 #>  [12594]  99.67949 100.22475  99.83486  99.66444  99.87993 100.13491  99.92497 #>  [12601] 100.17984  99.93998  99.21693  99.71459 100.09995  99.67949 100.13491 #>  [12608] 100.05998  99.73966  99.85990 100.28460  99.66444 100.10994 100.20479 #>  [12615]  99.92998 100.28460  99.82485 100.02000  99.51382 100.55347 100.04499 #>  [12622] 100.28958 100.15488 100.02000 100.02000  99.97000  99.89494  99.95999 #>  [12629]  99.80982  99.90495  99.86491  99.49874 100.33942 100.54352 100.01000 #>  [12636] 100.29457  99.79980  99.94999 100.63300  99.57409  99.90495  99.70456 #>  [12643]  99.56907 100.43406 100.25468 100.37928  99.92998  99.90495 100.18483 #>  [12650]  99.44848 100.12992  99.85489 100.46392 100.13990 100.05498  99.52889 #>  [12657]  99.90996 100.00000 100.33444  99.99500  99.82485  99.98500 100.23971 #>  [12664] 100.04999  99.44848  99.54898 100.05998 100.16486 100.47885  99.66444 #>  [12671]  99.79980 100.09995  99.83486 100.10994 100.12492 100.07497 100.13491 #>  [12678]  99.89494 100.19980  99.70456 100.21477  99.90495 100.02500 100.27961 #>  [12685]  99.30760  99.67949 100.52363 100.01500 100.19980  99.81483 100.09495 #>  [12692]  99.50377 100.74225 100.18982 100.45397 100.15987  99.94498 100.08496 #>  [12699] 100.15488  99.68952 100.21477  99.78477 100.32447 100.28958 100.04499 #>  [12706] 100.28460 100.28460 100.29457 100.44899  99.89995 100.24969 100.26964 #>  [12713] 100.14989 100.00500  99.80481  99.77475  99.89995  99.97500  99.65440 #>  [12720] 100.39422  99.70958  99.99500  99.93998  99.76472  99.84989  99.69955 #>  [12727]  99.82485 100.06498  99.92497 100.12992  99.78978 100.20479 100.11493 #>  [12734] 100.22475  99.81483 100.10494 100.18483  99.71459  99.58414 100.43904 #>  [12741]  99.99500  99.86491  99.49874 100.43406 100.19481  99.78477  99.60422 #>  [12748]  99.92497  99.91997  99.96499  99.58414  99.98000  99.92497  99.64437 #>  [12755] 100.03499 100.27961 100.45397 100.12492 100.11993  99.42334 100.25468 #>  [12762] 100.11993 100.10494 100.29457  99.63433 100.43904 100.11493  99.95499 #>  [12769] 100.13491 100.44401  99.59418  99.93498 100.26465  99.87993 100.10494 #>  [12776]  99.43339  99.85990  99.47361  99.56405 100.07497  99.75971 100.01500 #>  [12783] 100.11493  99.52387 100.17984 100.10994 100.16986  99.64437  99.93998 #>  [12790] 100.23472  99.79980  99.48367  99.60924  99.84488 100.22974 100.46392 #>  [12797]  99.55401  99.34787  99.78477  99.35291  99.93498  99.96499  99.64939 #>  [12804]  99.93498 100.17984  99.71459 100.10494  99.80481 100.57336 100.32447 #>  [12811]  99.91496 100.13491 100.06998 100.17984  99.61426 100.01500  99.77976 #>  [12818] 100.27462 100.36434 100.34939  99.60422 100.28958  99.71961 100.11993 #>  [12825]  99.74467  99.87993  99.61426 100.17984  99.55401 100.19980  99.99000 #>  [12832] 100.00500 100.21976  99.75470 100.02000 100.23971 100.05498  99.93498 #>  [12839]  99.52387  99.73966 100.55844  99.57911  99.74969 100.41912  99.82485 #>  [12846]  99.42334  99.99500 100.00500  99.51382  99.41328 100.02000  99.93998 #>  [12853] 100.45895 100.02500  99.84488  99.91997  99.87993  99.73465  99.94999 #>  [12860]  99.87993  99.74969 100.22475  99.76973  99.49874  99.91997  99.66945 #>  [12867] 100.08496 100.13491 100.36434  99.86992  99.44848  99.98500 100.42908 #>  [12874]  99.79479 100.13990  99.66444 100.49378 100.01500  99.44345  99.61928 #>  [12881]  99.97000 100.50871 100.23971  99.65942 100.40418  99.94999 100.23971 #>  [12888]  99.32271 100.13491 100.05998 100.64790 100.27961  99.95999 100.00500 #>  [12895]  99.53894 100.25966  99.97500  99.91997 100.06498 100.42908 100.09495 #>  [12902]  99.92497  99.82485 100.31949 100.14989  99.75971 100.49876 100.26465 #>  [12909]  99.47864 100.14490 100.03000  99.83486  99.52387  99.86992  99.74969 #>  [12916]  99.61426 100.35935  99.96499 100.06498 100.22974  99.73465 100.02000 #>  [12923]  99.92497  99.91997  99.68952  99.90996 100.10994  99.70456 100.30454 #>  [12930] 100.06998  99.80982 100.45895  99.85990  99.67949  99.77976 100.23472 #>  [12937]  99.99000 100.02000 100.01500  99.47361 100.17984  99.95999 100.01500 #>  [12944] 100.47885 100.34441  99.85990  99.69955 100.15488  99.63935  99.55903 #>  [12951] 100.00000 100.14490  99.64437  99.64437 100.45895 100.02000 100.14989 #>  [12958]  99.65440 100.01000  99.68952  99.72963  99.63935  99.82485  99.53391 #>  [12965] 100.09495 100.40418  99.97000  99.55401  99.78978  99.93998 100.07997 #>  [12972] 100.23472  99.70958  99.63433 100.26465  99.74969 100.00500  99.85990 #>  [12979]  99.55903  99.89494 100.08996  99.66444  99.64437  99.75470 100.20978 #>  [12986]  99.70958 100.01000 100.03000  99.71961  99.82986 100.17485  99.78477 #>  [12993] 100.39422  99.87993  99.76973 100.57336 100.36932 100.15987  99.90996 #>  [13000]  99.55401  99.92497 100.22974 100.25468 100.46392 100.24969  99.95499 #>  [13007] 100.24969  99.84989  99.52889 100.69260  99.96499 100.03000 100.32946 #>  [13014]  99.71961  99.93498 100.08496  99.97000 100.39422 100.08996  99.84488 #>  [13021]  99.76472  99.42334 100.38924  99.90495  99.63433 100.00000 100.31451 #>  [13028]  99.93498  99.99000 100.22475 100.32946  99.64939 100.21976 100.32946 #>  [13035] 100.17485 100.10994 100.16986  99.70958  99.67949  99.71459 100.32447 #>  [13042] 100.07997  99.83486  99.56405 100.20479 100.00000 100.19980 100.13990 #>  [13049] 100.54352 100.27961 100.29457 100.51865 100.32447 100.59324 100.13990 #>  [13056] 100.27961  99.83987  99.84488  99.80481  99.69955  99.87492 100.36434 #>  [13063] 100.00500  99.72963  99.79479  99.97000  99.58414 100.73728 100.03499 #>  [13070]  99.82485 100.08496 100.25468 100.10494 100.04999 100.26964 100.20479 #>  [13077]  99.59418  99.39819 100.44401 100.32447 100.23472 100.31949  99.89494 #>  [13084]  99.62931 100.39920  99.89494 100.03499  99.99500 100.03999  99.78978 #>  [13091]  99.57409 100.15488 100.36434 100.09995 100.09995 100.23971 100.55844 #>  [13098]  99.83486  99.92998  99.94498  99.90996  99.47361 100.18483  99.92497 #>  [13105] 100.19481  99.80481 100.45895 100.42410  99.76472  99.82986 100.06998 #>  [13112]  99.84989 100.55844 100.35935  99.49874 100.25966 100.23472 100.41414 #>  [13119]  99.83486  99.82485  99.79980  99.70456  99.79479 100.10494  99.73465 #>  [13126]  99.75971  99.99000 100.17984 100.02500  99.66945 100.17485  99.92497 #>  [13133] 100.11993 100.09995 100.30952  99.86992  99.87993  99.33781  99.72963 #>  [13140]  99.76472  99.96499 100.14490 100.01500  99.72462 100.01500  99.48367 #>  [13147]  99.77475  99.95499 100.19980 100.27462 100.14490 100.16986  99.89995 #>  [13154]  99.44848  99.80481  99.95499  99.31767  99.72963 100.35935 100.18982 #>  [13161]  99.64437  99.99000  99.76973 100.39920  99.87993 100.23472 100.46392 #>  [13168]  99.75470 100.52363 100.19980 100.01000 100.31451 100.40418 100.33444 #>  [13175] 100.20479  99.96499 100.45895 100.16986 100.00500  99.57911 100.40916 #>  [13182] 100.52860 100.34939 100.43904 100.22974  99.78477 100.24470 100.02500 #>  [13189]  99.93998 100.09995 100.09495  99.99000 100.02500  99.92998  99.74969 #>  [13196]  99.79479  99.93998 100.37928  99.60422  99.61426  99.87993 100.38426 #>  [13203]  99.24213 100.40916 100.37430 100.35935 100.31949  99.88493 100.63797 #>  [13210] 100.36932 100.38924  99.59920 100.25468 100.26964  99.78477  99.75971 #>  [13217]  99.82485  99.85489  99.99000 100.00000 100.41912 100.05998  99.95999 #>  [13224] 100.20978 100.06498  99.97000 100.37928 100.00500  99.79980  99.49874 #>  [13231]  99.61928  99.72462  99.92497 100.38426 100.29457 100.65784  99.74467 #>  [13238]  99.74969  99.46356  99.86491  99.57409 100.12492  99.91496 100.35935 #>  [13245] 100.28460 100.18982  99.70958 100.39422  99.91496  99.39316 100.29457 #>  [13252]  99.99000 100.26465  99.52387 100.11493  99.91997  99.80481 100.11993 #>  [13259]  99.82986 100.63300 100.32447 100.23971  99.72462  99.78477 100.49378 #>  [13266]  99.67447 100.07997 100.21976  99.67949 100.18483 100.33444 100.26465 #>  [13273] 100.16486 100.14989 100.32447 100.02500 100.30952  99.79479  99.75470 #>  [13280] 100.14989  99.54898 100.67770  99.84989  99.70456 100.22974  99.56405 #>  [13287] 100.26465  99.84989  99.39819  99.62931  99.87492  99.68952 100.34441 #>  [13294] 100.13491  99.91997 100.19980 100.06998 100.39920 100.20978 100.10494 #>  [13301] 100.28958 100.43406 100.24470  99.97500  99.87492  99.72462  99.85990 #>  [13308] 100.05998  99.91496  99.86992  99.60422 100.43406 100.33942 100.19980 #>  [13315] 100.17984  99.78978 100.31451  99.71961 100.15488  99.97500  99.95999 #>  [13322]  99.89494 100.07497  99.75470 100.19980  99.97000  99.80481 100.17984 #>  [13329]  99.91496  99.56907 100.02000 100.24470  99.78978 100.15488  99.70958 #>  [13336]  99.88493  99.98500  99.77475 100.12492 100.32946 100.09995 100.41414 #>  [13343] 100.00500 100.03999 100.11993 100.24470 100.09495  99.72963 100.08496 #>  [13350]  99.98000 100.16486  99.95499  99.93998 100.36434 100.10994 100.11493 #>  [13357] 100.32447 100.02000 100.29955 100.21477 100.06498  99.84488  99.92497 #>  [13364] 100.15987 100.05498 100.10494  99.84989 100.27961 100.10494 100.29955 #>  [13371]  99.92998  99.42837 100.44401 100.04499  99.36297 100.15987 100.05498 #>  [13378]  99.88994 100.06498  99.85990 100.22475 100.25468  99.51884 100.37430 #>  [13385] 100.28958 100.40916 100.09495 100.03499  99.55401  99.85489 100.08996 #>  [13392] 100.46392  99.35291 100.01000  99.96499  99.99000  99.95499  99.93998 #>  [13399]  99.64437 100.17984 100.19481 100.20479  99.80481 100.24470  99.97000 #>  [13406]  99.72963 100.46890 100.38924 100.07497 100.04499  99.82986 100.03499 #>  [13413] 100.00500  99.87492 100.01000  99.89995  99.87492 100.05498 100.12492 #>  [13420]  99.61928  99.86992  99.87993 100.20479  99.77475  99.59920 100.05998 #>  [13427]  99.69453 100.14490  99.49874 100.09495 100.07997 100.33942  99.84989 #>  [13434]  99.81483 100.34939 100.35935 100.68267 100.40418  99.89995  99.99500 #>  [13441] 100.34441 100.65287 100.27961  99.71459  99.73966  99.70456 100.58827 #>  [13448]  99.93498 100.20978  99.86992 100.05998 100.17984 100.08996  99.97000 #>  [13455] 100.03000  99.77976 100.35935 100.22475 100.31451  99.47864  99.88493 #>  [13462] 100.66280 100.42908 100.52363  99.96499 100.21477  99.56405  99.91496 #>  [13469]  99.69453 100.14989  99.86491 100.34939 100.43904  99.98000 100.28958 #>  [13476] 100.30454 100.04499 100.20978  99.60422  99.64939 100.11993 100.06498 #>  [13483] 100.00500  99.62429  99.89995 100.17485 100.65784 100.14989 100.03999 #>  [13490] 100.09995 100.30454  99.84989 100.36434 100.32447  99.58414 100.10994 #>  [13497] 100.37928  99.76472  99.65942  99.91496  99.96499  99.81483 100.13990 #>  [13504] 100.19980 100.08496 100.10994 100.27961  99.64939  99.46859 100.05498 #>  [13511] 100.10994 100.27462 100.05998 100.37430 100.35935  99.83486 100.00500 #>  [13518]  99.86992  99.51382 100.16986 100.04499  99.87993 100.27462  99.63935 #>  [13525]  99.69955 100.12992 100.05998  99.68952  99.99000 100.03499 100.15488 #>  [13532] 100.26964 100.68764  99.91496  99.67949  99.72963 100.53358 100.10494 #>  [13539]  99.98500 100.12992 100.03000 100.17485 100.26465  99.51884  99.88994 #>  [13546]  99.94498  99.84488  99.78477 100.12492 100.31451  99.80982 100.05998 #>  [13553] 100.19980  99.96499  99.79980 100.17984 100.38924  99.85489  99.69955 #>  [13560] 100.05498  99.81483  99.80481  99.93998 100.03000  99.99500 100.16986 #>  [13567] 100.35437 100.26964 100.08496 100.04999 100.26465  99.78477 100.32946 #>  [13574]  99.98500 100.35935 100.55844 100.24969  99.87492 100.24470  99.56405 #>  [13581] 100.09995  99.65440  99.98500 100.33942  99.95999 100.22974 100.49876 #>  [13588]  99.92497  99.69453 100.39422 100.05998  99.85489 100.15488  99.51382 #>  [13595]  99.61928 100.06498  99.74969  99.60422  99.83486 100.16986 100.03999 #>  [13602]  99.91496 100.36932 100.14989 100.04999 100.36932  99.98500 100.50871 #>  [13609] 100.18483 100.22974 100.03499  99.93998  99.93498 100.38924  99.92998 #>  [13616] 100.14989  99.72963  99.84989  99.99500 100.41414  99.81483  99.72963 #>  [13623]  99.98500 100.63300 100.60318 100.12992 100.28460  99.69453 100.40418 #>  [13630] 100.03499 100.02500  99.87993  99.65440 100.15987 100.06498  99.94999 #>  [13637]  99.57911 100.16986 100.25966  99.80982 100.15488  99.90996  99.89995 #>  [13644]  99.82986 100.05998  99.79479  99.64437 100.36434  99.80982 100.25468 #>  [13651]  99.35794  99.52889 100.00000  99.75971  99.77976 100.29955  99.63433 #>  [13658]  99.83987  99.83486 100.14490 100.23971 100.11993  99.89494 100.10494 #>  [13665]  99.98500 100.21976  99.94999  99.92998  99.89995  99.74467 100.22475 #>  [13672] 100.06498  99.89995 100.03000  99.77976 100.04499 100.32447  99.76472 #>  [13679]  99.79479  99.88493  99.76472 100.08496  99.77976 100.11993 100.39422 #>  [13686] 100.29457  99.49874 100.45397  99.87492 100.10494 100.30454 100.24470 #>  [13693] 100.55347 100.17984 100.45397 100.52860 100.05998  99.95499  99.63433 #>  [13700]  99.94498  99.94498 100.15987 100.40916  99.94498 100.05498  99.86491 #>  [13707]  99.89494 100.16986  99.58414  99.91997  99.80982  99.51884 100.02500 #>  [13714] 100.35437 100.22974  99.79980  99.80481 100.12492 100.09495 100.37430 #>  [13721]  99.53391 100.24470  99.98000  99.89494 100.20978 100.20978 100.00000 #>  [13728]  99.58414 100.18483  99.98000 100.12992  99.88493 100.30454 100.07497 #>  [13735] 100.09495 100.09995  99.64939  99.84989  99.91496  99.92497 100.16986 #>  [13742]  99.64437  99.55401  99.83486 100.32946 100.19980 100.37430  99.76973 #>  [13749]  99.87993  99.98500 100.38426 100.05498  99.94498 100.38924 100.20479 #>  [13756]  99.54898  99.73966 100.28460  99.60924  99.72963  99.99000  99.98000 #>  [13763]  99.82485  99.63433  99.22197 100.32447  99.82986  99.85489  99.97000 #>  [13770]  99.68952 100.32946 100.27961 100.03499  99.75470  99.41328  99.81984 #>  [13777]  99.85990 100.14989 100.18982  99.72963 100.17984 100.13491 100.23971 #>  [13784]  99.53894  99.78477 100.40418  99.95499  99.70958  99.52889  99.88994 #>  [13791] 100.09495 100.27961  99.73465 100.10494 100.10994 100.17485  99.86491 #>  [13798] 100.26465  99.77976  99.63935  99.73966  99.86491  99.67949 100.30952 #>  [13805] 100.32447 100.07997  99.79980  99.31264  99.87993  99.96499  99.83486 #>  [13812] 100.02000 100.19980 100.20479 100.11493 100.29955 100.37430  99.82986 #>  [13819] 100.26964  99.70958 100.10994 100.04499 100.08496 100.34939  99.86992 #>  [13826] 100.26964 100.27961  99.95499  99.92998 100.28958 100.03000 100.30952 #>  [13833]  99.76973  99.39316 100.30952 100.33942  99.64437 100.22974  99.68952 #>  [13840] 100.63797  99.43842  99.90495 100.28460 100.07497 100.28460 100.08996 #>  [13847] 100.39920  99.90495  99.55903  99.90495  99.94999 100.04499 100.18982 #>  [13854] 100.22475 100.13990  99.73966 100.34939 100.38426 100.18982  99.84989 #>  [13861] 100.03000  99.73966  99.97000  99.89494 100.48881 100.43406 100.16486 #>  [13868] 100.14989 100.02000  99.80982  99.88994 100.04999  99.30760 100.30952 #>  [13875]  99.88493  99.68450 100.49876 100.24969  99.82986  99.94999  99.93498 #>  [13882]  99.80982 100.21477  99.96499 100.17984  99.97000  99.88493  99.56405 #>  [13889] 100.12492 100.44401  99.86992  99.81984  99.94999 100.09995  99.87492 #>  [13896]  99.85489 100.19980  99.88493 100.07997  99.82485  99.93998  99.92998 #>  [13903]  99.78978 100.33942  99.94498 100.10494 100.23472 100.12992 100.18982 #>  [13910] 100.00000  99.80982 100.06998 100.28460  99.57911 100.45895  99.96499 #>  [13917] 100.14490  99.60924  99.62931  99.59418  99.96499  99.80982  99.63433 #>  [13924]  99.93498  99.76973 100.27462 100.04499  99.70456  99.61928  99.88493 #>  [13931] 100.16486 100.38924 100.22974  99.97000 100.38426  99.61426 100.50373 #>  [13938] 100.34939  99.52387  99.85990  99.97500  99.97000  99.57911  99.97000 #>  [13945] 100.00000  99.81984  99.58414 100.07497  99.77976 100.03999  99.88493 #>  [13952] 100.28958 100.24969 100.06498 100.11493  99.79980  99.61426 100.00000 #>  [13959]  99.87492  99.79980 100.29457 100.45397 100.14490 100.29955  99.72462 #>  [13966]  99.39316  99.72462  99.76472 100.08996 100.58827 100.44899 100.18982 #>  [13973] 100.03999 100.13491 100.25468  99.43339 100.22974  99.94498 100.17485 #>  [13980] 100.06998  99.48869 100.24470 100.44899  99.59418 100.23971 100.03000 #>  [13987]  99.98500 100.23472 100.41414 100.02500 100.10994  99.85990 100.05498 #>  [13994] 100.23971 100.10494  99.79479  99.76472 100.35935 100.46890  99.64939 #>  [14001] 100.12492  99.92998  99.41328  99.68450  99.71961 100.28460  99.88493 #>  [14008]  99.95499 100.37928  99.76973  99.88994 100.63300  99.37807  99.95999 #>  [14015]  99.96499 100.02500 100.17984  99.59418 100.06998  99.52889 100.37430 #>  [14022]  99.84989  99.47361 100.25468  99.71459  99.97500 100.06498  99.95999 #>  [14029]  99.97000  99.89494  99.89995  99.52889  99.38310  99.96499 100.51368 #>  [14036] 100.16486  99.97000  99.61426 100.03000 100.37928  99.97500  99.65440 #>  [14043] 100.18982  99.94999 100.02500 100.12992  99.65440  99.87492  99.77475 #>  [14050] 100.10494 100.20978  99.67447  99.88493  99.86491  99.64939 100.26465 #>  [14057] 100.40418 100.21477 100.51368 100.10994  99.90996 100.11493  99.90996 #>  [14064] 100.62803 100.14989 100.35437  99.92497  99.82485  99.80481 100.35935 #>  [14071]  99.62931 100.65287  99.93998 100.51865 100.07497 100.15488  99.97500 #>  [14078]  99.34284  99.79479  99.98000 100.09495  99.52889  99.87993 100.11493 #>  [14085] 100.21976  99.83987 100.03499 100.53358 100.26465  99.98000 100.05498 #>  [14092]  99.95999 100.27961 100.11993  99.60924  99.83987  99.97000 100.13491 #>  [14099] 100.27961 100.20479  99.75971 100.04999 100.47388 100.04499 100.11993 #>  [14106] 100.21477  99.87492 100.01000  99.72963  99.78978 100.11993  99.95999 #>  [14113] 100.22475  99.92497 100.28958  99.82485  99.85990 100.22475 100.05998 #>  [14120]  99.99000 100.08996  99.96499 100.30952 100.34441 100.02500  99.76472 #>  [14127] 100.73728 100.31949  99.58916 100.51865  99.85990 100.21477  99.85990 #>  [14134]  99.81483  99.94999 100.31949 100.09495  99.75971 100.02000 100.35935 #>  [14141] 100.06498 100.43904  99.91496 100.29457 100.06498  99.92497 100.05498 #>  [14148]  99.82986 100.05998  99.94498 100.08496 100.12992  99.54396  99.83486 #>  [14155] 100.09995  99.95999 100.42908 100.00500 100.27961  99.85990  99.96499 #>  [14162]  99.82986 100.00500 100.24470 100.12992 100.54352  99.80982 100.06998 #>  [14169] 100.30454 100.23971 100.07997 100.53358  99.40825  99.99000 100.22974 #>  [14176]  99.50879  99.71961 100.18982 100.36434 100.15987 100.01500 100.29457 #>  [14183] 100.30952  99.83987 100.38426  99.79980  99.39316  99.87492 100.45397 #>  [14190] 100.13491 100.26964  99.85990 100.03999  99.89995  99.89494  99.83486 #>  [14197] 100.01000 100.78194 100.02000 100.07497 100.54850  99.74467  99.83486 #>  [14204]  99.48869  99.47361  99.89995  99.64939 100.03000  99.76973 100.32447 #>  [14211]  99.76973 100.31451  99.78477  99.70456 100.38924 100.44401  99.92998 #>  [14218] 100.18982 100.23971  99.95999 100.64293 100.49876  99.75971  99.48869 #>  [14225]  99.89995  99.50377 100.40418  99.62429  99.49372  99.66945 100.35935 #>  [14232]  99.65440 100.17485  99.41328 100.42908  99.82485 100.35437  99.81483 #>  [14239]  99.46859 100.04999 100.01500  99.97000  99.90495 100.15488 100.15987 #>  [14246] 100.12992  99.64437 100.21477 100.27961  99.48367 100.59821 100.14490 #>  [14253]  99.82485  99.91496 100.32447  99.85990  99.97500  99.76472  99.75971 #>  [14260]  99.91997  99.68450 100.03000 100.20479 100.22974  99.77475  99.78477 #>  [14267]  99.66945 100.13491 100.20479 100.14490 100.09495 100.14989 100.34441 #>  [14274]  99.86992  99.80481 100.17984  99.41831 100.13491 100.16986 100.18483 #>  [14281] 100.00000  99.60924 100.08996  99.96499 100.00500 100.03499 100.47388 #>  [14288]  99.91496  99.89995 100.21976 100.13491 100.20978 100.14989  99.98000 #>  [14295] 100.30952 100.37928  99.75470  99.67447 100.07997  99.74969 100.08996 #>  [14302]  99.91496 100.25468  99.26228 100.22974 100.07997 100.31451 100.43406 #>  [14309]  99.65440 100.14989  99.29753 100.40916  99.82485  99.87993 100.46890 #>  [14316]  99.64437 100.50871 100.48383 100.23472  99.84488 100.18982 100.26964 #>  [14323] 100.01000 100.24470  99.89494  99.63433 100.10994 100.03999 100.41912 #>  [14330] 100.11493  99.75470  99.73465  99.93498 100.09995 100.10494  99.92998 #>  [14337]  99.97500  99.43339  99.71961 100.66777 100.08996  99.99000  99.70958 #>  [14344]  99.74969  99.97500 100.12992 100.17984 100.03499  99.84989  99.98500 #>  [14351]  99.82485  99.93498 100.26465  99.77976  99.97000 100.32946  99.97500 #>  [14358] 100.00000 100.14490  99.59920 100.34939  99.98000  99.94999 100.28958 #>  [14365]  99.97000 100.43904 100.10994 100.00500 100.23971  99.88994 100.00000 #>  [14372] 100.54850 100.26465  99.90495  99.88493 100.04499  99.73465  99.89494 #>  [14379]  99.86491  99.40825 100.14989 100.14989 100.18982 100.20978 100.12992 #>  [14386] 100.05998  99.62429 100.14989  99.80481  99.66444 100.07997  99.56907 #>  [14393] 100.17984  99.80982 100.04999  99.88994 100.30454 100.44899  99.89494 #>  [14400]  99.74467  99.67949  99.78477 100.08996 100.51368  99.80481  99.90495 #>  [14407]  99.87492 100.12492  99.98000  99.98000 100.34939  99.78477  99.96499 #>  [14414] 100.12492 100.41912 100.03000  99.78978  99.68952  99.80982 100.47885 #>  [14421] 100.14490 100.22974 100.23971 100.62306  99.62931  99.39819  99.76973 #>  [14428] 100.37928 100.07497  99.47361  99.77976  99.70456 100.66280  99.29250 #>  [14435]  99.81483  99.88994  99.55401 100.34939  99.56907  99.87492  99.52889 #>  [14442] 100.23472  99.53391  99.51884  99.77475 100.39422  99.74969  99.99000 #>  [14449] 100.03499 100.00000 100.11993  99.71961 100.35437  99.97000  99.66945 #>  [14456]  99.86992 100.23971  99.87492  99.77976 100.55347 100.01000 100.02000 #>  [14463]  99.67949  99.75971 100.13990 100.00000  99.70456  99.91496  99.98500 #>  [14470]  99.84989  99.60422 100.44899  99.76973  99.97500  99.95999 100.17485 #>  [14477]  99.72963  99.86491  99.47864 100.15488 100.29457  99.86491 100.44899 #>  [14484]  99.86992 100.29457 100.09495  99.71459 100.17485  99.61426 100.22475 #>  [14491] 100.16986 100.47885  99.79980 100.41414  99.95999  99.81984 100.10994 #>  [14498]  99.64437 100.12992  99.43842 100.28460 100.01500  99.76472 100.18483 #>  [14505]  99.78978 100.20479  99.90495  99.99000  99.64939 100.33942 100.35437 #>  [14512]  99.90495 100.16486  99.35291  99.90495 100.59821  99.79479 100.25966 #>  [14519] 100.43904 100.11493 100.56341 100.36434 100.37928 100.47885  99.95999 #>  [14526]  99.67949 100.22475  99.91496  99.54396 100.06498  99.78978  99.90996 #>  [14533] 100.42410  99.89494  99.99000 100.57336  99.66945  99.50879  99.93998 #>  [14540] 100.25966  99.62931  99.70958 100.33942 100.13491  99.96499  99.82485 #>  [14547]  99.95499  99.82485 100.32946 100.56838 100.17485 100.05498  99.86491 #>  [14554] 100.14490  99.99000  99.78978 100.13491  99.62931  99.88493  99.82485 #>  [14561] 100.02500 100.54352  99.94498 100.31451 100.32946  99.51884 100.29955 #>  [14568] 100.36932 100.64790 100.23472 100.15987 100.06998  99.96499  99.91496 #>  [14575]  99.88994 100.34939 100.33444 100.12492 100.18982 100.27961  99.26732 #>  [14582] 100.11993  99.90996 100.42410 100.38426  99.76973  99.81984 100.30454 #>  [14589] 100.11993 100.17984 100.33444  99.83987  99.84488 100.19481 100.14490 #>  [14596] 100.23472 100.23472  99.70456 100.42908  99.70456  99.47361  99.81483 #>  [14603]  99.76472 100.14490 100.24470 100.21477  99.49372  99.72462 100.34939 #>  [14610]  99.56907  99.93998 100.08496 100.63300 100.03000 100.45895 100.33942 #>  [14617] 100.28460  99.82485  99.82485 100.29955  99.45351  99.81483 100.01500 #>  [14624] 100.27462 100.15987 100.30454 100.47885  99.54396 100.44899 100.26964 #>  [14631]  99.78978  99.48367  99.82485  99.76472  99.97000 100.20978 100.01500 #>  [14638] 100.16986  99.86491 100.36434 100.01500 100.12992 100.49378 100.46890 #>  [14645]  99.76973 100.31451  99.94498  99.99000 100.04999  99.85990 100.02500 #>  [14652]  99.66444 100.62306  99.64437  99.88493  99.85990 100.24969 100.32447 #>  [14659]  99.17157  99.75470 100.24470 100.33444 100.31451 100.03999  99.86992 #>  [14666]  99.82986 100.00000 100.28460 100.50373 100.16986 100.26964  99.99000 #>  [14673]  99.51884 100.13491  99.61928 100.00000 100.03499  99.82986 100.01500 #>  [14680] 100.60318  99.75470 100.00500  99.81984  99.93498  99.87492  99.93498 #>  [14687]  99.13627 100.17485 100.13491 100.46890 100.23971  99.99000  99.70456 #>  [14694]  99.76973 100.45895 100.21976  99.67447 100.03499 100.29457 100.14989 #>  [14701]  99.47361  99.94498  99.84989  99.53894  99.85990  99.79479  99.61426 #>  [14708] 100.16486  99.97500 100.13491 100.48383  99.64939 100.51368  99.83987 #>  [14715]  99.80481  99.64939 100.22974  99.94498  99.67447 100.15488  99.82986 #>  [14722]  99.43842  99.76973  99.91496  99.87993  99.99500  99.85990  99.82485 #>  [14729] 100.02500  99.66444 100.37430  99.88493  99.72462  99.42837 100.48881 #>  [14736] 100.53855 100.56838  99.88994  99.89494  99.57409 100.14989  99.33781 #>  [14743]  99.71961  99.86491 100.00500  99.96499 100.06498 100.27462 100.29955 #>  [14750] 100.34441  99.84989  99.97500 100.00500 100.30952 100.06498  99.94999 #>  [14757]  99.92998  99.41328  99.45853  99.87492  99.56405 100.63300  99.76973 #>  [14764]  99.88493 100.24470 100.15987  99.54898  99.50879 100.06998 100.42908 #>  [14771]  99.39819 100.42410 100.00500  99.76973  99.73966  99.67447 100.55844 #>  [14778] 100.09995 100.20479 100.11493 100.47388 100.21477  99.88493 100.19980 #>  [14785] 100.06998 100.29457  99.53894  99.92998  99.97000  99.93998  99.88994 #>  [14792]  99.62429  99.86491  99.54396 100.12492 100.12992 100.38924 100.30952 #>  [14799] 100.28958  99.71961  99.97000  99.95499  99.88493  99.50377  99.53391 #>  [14806] 100.18982 100.77202 100.30454  99.47361  99.60924  99.89494 100.05498 #>  [14813] 100.03499  99.86992  99.45351  99.83987  99.86992 100.05498  99.79980 #>  [14820] 100.03999  99.89995 100.01000 100.43406 100.21477 100.60815  99.91997 #>  [14827]  99.91496  99.92998  99.82485 100.33444  99.91997  99.70958 100.07497 #>  [14834] 100.00000 100.35935  99.91496  99.80982 100.08496 100.09995  99.73465 #>  [14841] 100.37928 100.14989  99.54396 100.19481 100.02000 100.21477 100.66777 #>  [14848]  99.86491  99.55903 100.39422 100.47388 100.04999  99.99500 100.00500 #>  [14855] 100.43904 100.46392 100.33942  99.87492  99.79479 100.36932  99.45853 #>  [14862] 100.25966  99.90996 100.06498 100.51865 100.25966  99.93998 100.51368 #>  [14869]  99.53894 100.22475  99.83486 100.31949 100.05498  99.99500 100.17984 #>  [14876] 100.22974 100.21477 100.01500  99.82485 100.10494  99.94498 100.12492 #>  [14883] 100.46392 100.34441 100.22974 100.35437 100.32447  99.59418 100.45397 #>  [14890] 100.15488  99.85990  99.94498  99.93998  99.57409  99.98500  99.93998 #>  [14897] 100.18982  99.83987  99.88493 100.29457  99.51884  99.89494  99.51382 #>  [14904] 100.13491 100.37430  99.93498  99.65942 100.15987  99.93998  99.87993 #>  [14911] 100.03999 100.54352  99.99500  99.76472  99.80481  99.84488  99.95999 #>  [14918]  99.68450 100.10994  99.94999 100.02000  99.84989 100.20978 100.10994 #>  [14925]  99.94498  99.99500 100.03000 100.31451 100.29457 100.01000  99.87993 #>  [14932]  99.65942  99.91997 100.43406 100.42908 100.14490  99.89995 100.27961 #>  [14939]  99.71459  99.97000  99.74467  99.64437 100.10494 100.14989 100.07997 #>  [14946]  99.77976  99.88493  99.93998 100.54352 100.16986 100.17984 100.13491 #>  [14953] 100.13990 100.18982 100.25468 100.11493 100.03499  99.98500 100.08496 #>  [14960]  99.81483 100.47388 100.05998  99.05554  99.79479  99.73966  99.98000 #>  [14967]  99.93498  99.87993 100.19481 100.09995  99.78477  99.95999  99.89995 #>  [14974] 100.02000  99.79479 100.20479  99.39316 100.06998  99.87492 100.31949 #>  [14981]  99.76472  99.72462  99.57911 100.10494  99.79479 100.01000  99.39819 #>  [14988]  99.66444 100.22974 100.33444  99.70456 100.08496 100.09995 100.07997 #>  [14995]  99.99500 100.31949  99.80481 100.38426  99.89995  99.70958  99.93998 #>  [15002]  99.63935  99.87993  99.56405  99.51884 100.11493  99.97500  99.58916 #>  [15009]  99.68450  99.61928 100.58827 100.08496 100.11993  99.83987  99.74969 #>  [15016] 100.18483 100.21477  99.80982 100.07997 100.00500  99.70456 100.16486 #>  [15023] 100.14490  99.80481 100.29955  99.90996  99.92998 100.10494  99.86491 #>  [15030] 100.13990 100.18982 100.32946 100.15987 100.11493 100.42908 100.19481 #>  [15037]  99.97000  99.42334 100.12492 100.04999 100.07997  99.78978  99.89494 #>  [15044]  99.73966  99.87492 100.17984 100.38924 100.54850  99.75971 100.48383 #>  [15051] 100.15987  99.86992 100.27462 100.19481  99.98500 100.47388 100.56341 #>  [15058] 100.09495  99.81984  99.57409  99.81483 100.42410 100.68764  99.82986 #>  [15065]  99.84488  99.71459 100.03999  99.82986  99.51382  99.74467  99.73966 #>  [15072]  99.83486 100.21477 100.01000  99.70456 100.59324  99.73966 100.35935 #>  [15079] 100.17485 100.31451  99.54396  99.96499  99.30760 100.23971 100.07497 #>  [15086]  99.66444 100.34441  99.79479 100.15488 100.00000 100.16486 100.07997 #>  [15093]  99.81984 100.33942  99.67447  99.90996  99.37807  99.87993 100.04499 #>  [15100]  99.82986  99.84989  99.91496  99.35291  99.55903 100.37928  99.93998 #>  [15107]  99.95499 100.17984 100.34939 100.22974 100.31949 100.02000  99.59920 #>  [15114] 100.08996  99.58414  99.80481 100.21976  99.56405  99.21693 100.05498 #>  [15121] 100.30454 100.03999  99.58414  99.95999  99.97500  99.99000 100.12492 #>  [15128]  99.80982 100.00500  99.90495  99.35291  99.94999 100.05498  99.65942 #>  [15135]  99.79980 100.19481 100.11493 100.08496  99.77475 100.23472 100.26465 #>  [15142] 100.14490 100.12492  99.90996 100.11493  99.74467  99.92998  99.74467 #>  [15149] 100.07997  99.82485  99.86491 100.04499  99.78477  99.79980 100.03000 #>  [15156]  99.79479 100.16486  99.90495 100.32946  99.62931 100.29457  99.64437 #>  [15163]  99.71459  99.68450  99.50377  99.89995 100.04999 100.02500  99.63935 #>  [15170] 100.25966  99.77475  99.91997 100.44401 100.09995 100.36932  99.90495 #>  [15177]  99.60924 100.12492  99.99500 100.39422  99.98000  99.68952 100.09995 #>  [15184]  99.65942 100.03499 100.03999 100.65287 100.57336  99.93998  99.95999 #>  [15191] 100.33444  99.85489 100.23971  99.71459  99.86491 100.44899  99.81483 #>  [15198]  99.77976 100.46392  99.51382  99.90996 100.21477  99.84488  99.81483 #>  [15205]  99.61928  99.84989 100.09995 100.41414 100.35935  99.92497 100.06498 #>  [15212]  99.66945 100.64790  99.39819  99.85489  99.93498  99.56907  99.90996 #>  [15219]  99.60924 100.47388  99.88994  99.70456  99.72963  99.90495  99.26732 #>  [15226] 100.02000 100.09495 100.10994 100.09995 100.18982  99.83486 100.12992 #>  [15233]  99.74467 100.28958  99.97000  99.79479  99.65942  99.71961  99.88493 #>  [15240] 100.12992  99.70958  99.78978 100.10494  99.52889  99.89494  99.99500 #>  [15247] 100.26964  99.87492 100.72735  99.70456  99.95999 100.11993  99.76973 #>  [15254]  99.60924 100.12492 100.06998 100.42908  99.57409  99.49372 100.38924 #>  [15261]  99.67949  99.82986  99.87492 100.54850  99.68450  99.45853 100.32447 #>  [15268] 100.43904 100.00000 100.02500  99.87492 100.00000 100.10494 100.03000 #>  [15275] 100.29457  99.80481 100.08996  99.88493  99.84989  99.89995 100.01000 #>  [15282] 100.13491  99.87492 100.02000  99.75971 100.08496 100.47885  99.99500 #>  [15289]  99.78477  99.80481 100.15488 100.07997  99.77976  99.55903 100.38426 #>  [15296]  99.59920  99.98000 100.40418 100.10494 100.48383 100.09995  99.66945 #>  [15303]  99.74467 100.13990 100.13491  99.90996 100.26465 100.00500  99.82485 #>  [15310]  99.81483  99.79479 100.05998 100.14989  99.85990  99.45351 100.36434 #>  [15317]  99.77475  99.99000  99.97500  99.83486  99.24213 100.14989  99.78978 #>  [15324] 100.51865 100.45895  99.85489 100.45895  99.90495 100.16486 100.11493 #>  [15331] 100.29955 100.58330  99.61928 100.32447  99.93998  99.87492 100.43406 #>  [15338]  99.86491  99.68450 100.08496  99.55903  99.72462 100.30952 100.32447 #>  [15345] 100.26465 100.14490  99.80982 100.42410 100.47885  99.76472  99.58414 #>  [15352] 100.16486  99.18165 100.01000 100.03499  99.95499 100.04499  99.95999 #>  [15359] 100.00500  99.76973  99.79479  99.39819 100.46890  99.77475  99.37303 #>  [15366] 100.63797 100.24470  99.85489  99.38813 100.20978  99.98000 100.15987 #>  [15373]  99.81483  99.87993 100.01500 100.26465  99.96499 100.02500 100.68267 #>  [15380] 100.14490  99.86491  99.66945 100.01000  99.80481  99.65440 100.04499 #>  [15387] 100.11993  99.81984  99.94498  99.83486  99.99500 100.02500 100.03499 #>  [15394]  99.90996  99.53894  99.87993 100.66777 100.13990  99.99500 100.14989 #>  [15401]  99.75470  99.94498  99.86491  99.32774 100.27961  99.84989 100.13990 #>  [15408] 100.19481  99.86992  99.95999 100.10994  99.97500 100.12992 100.01000 #>  [15415]  99.80982  99.48367 100.08496  99.81984  99.86992  99.88493 100.14989 #>  [15422] 100.48383  99.60422  99.68450  99.65440 100.08496  99.73966 100.03499 #>  [15429] 100.15488 100.19980 100.30454  99.76472 100.02000 100.02500 100.31451 #>  [15436]  99.75971 100.27961  99.96499  99.80481 100.37430  99.52889  99.72963 #>  [15443]  99.78978  99.56907 100.28460 100.21976 100.06498  99.76472 100.33444 #>  [15450]  99.86992 100.04499 100.13990  99.72963  99.86491 100.06998  99.77475 #>  [15457]  99.95999  99.86491  99.63433  99.43842  99.53391 100.39920  99.67949 #>  [15464] 100.06498  99.55401 100.11993  99.61426 100.00500  99.80982  99.61928 #>  [15471] 100.41912 100.14490  99.88493  99.74969  99.53391  99.98000  99.84488 #>  [15478] 100.02000  99.93498 100.41912 100.06498 100.19481  99.61426  99.77475 #>  [15485] 100.38426  99.98500  99.35291 100.09495 100.13491  99.49372  99.69453 #>  [15492]  99.65440 100.47388  99.95999  99.90495  99.53391 100.17984 100.65784 #>  [15499] 100.12492 100.54850 100.58330 100.47885  99.70958 100.00000 100.33942 #>  [15506]  99.71961  99.83987 100.26964 100.17984 100.07997 100.31451 100.22475 #>  [15513] 100.16486 100.18483  99.63433 100.06998 100.34441  99.81984 100.12992 #>  [15520] 100.01000  99.50377 100.23971 100.19980 100.50373  99.54898 100.75217 #>  [15527]  99.68450  99.82986 100.08996  99.58916 100.39920  99.99500  99.69955 #>  [15534] 100.14490 100.06498  99.57409 100.02500  99.86992  99.98500 100.15488 #>  [15541]  99.92998  99.98000 100.03000  99.79479 100.50373 100.21976 100.10494 #>  [15548]  99.89494 100.28460 100.39422  99.96499  99.77976 100.18982 100.41912 #>  [15555] 100.45895 100.56838  99.66444  99.87993 100.20479  99.61928  99.85990 #>  [15562]  99.70456 100.00500 100.63797  99.82986 100.39920  99.76973 100.19481 #>  [15569] 100.35437  99.72963 100.22974 100.16486 100.66280  99.75470  99.70456 #>  [15576]  99.98000  99.79479  99.70958 100.09495  99.58414  99.92497  99.68450 #>  [15583] 100.15987  99.97000  99.95999  99.68450  99.60924  99.48869 100.35437 #>  [15590] 100.01500  99.71961 100.13990  99.81984  99.95499  99.61426  99.83486 #>  [15597]  99.70456 100.18483 100.25966  99.99500 100.43406 100.19980 100.10494 #>  [15604] 100.12492 100.29457 100.40418 100.83154  99.75971 100.00000  99.82485 #>  [15611]  99.84989  99.89995  99.45853  99.45853 100.07997  99.53894 100.22475 #>  [15618] 100.67770 100.13491 100.06998 100.12492  99.78978 100.39920 100.04499 #>  [15625] 100.11493 100.26465 100.41414 100.39422  99.64437  99.88493 100.15488 #>  [15632] 100.14490  99.44345  99.62931  99.90996 100.03000 100.02000 100.03000 #>  [15639] 100.60815  99.99500  99.66945 100.02000 100.24969 100.41912 100.22974 #>  [15646]  99.75470 100.56838  99.93498 100.33942 100.43406  99.62931  99.76973 #>  [15653] 100.05998  99.92998 100.29955  99.75971  99.63433 100.33444  99.70958 #>  [15660]  99.92998 100.30454  99.96499  99.77475 100.26964 100.18982 100.09495 #>  [15667]  99.98000 100.03999 100.44899 100.05998 100.30952 100.47388  99.89494 #>  [15674] 100.40916  99.75971  99.71961  99.98500  99.77976  99.59418  99.87492 #>  [15681]  99.80481 100.37430  99.44345  99.83987  99.91496 100.23472  99.69453 #>  [15688] 100.46890  99.84989 100.46890  99.90495 100.01500  99.63433 100.45895 #>  [15695]  99.73966  99.30257 100.11993  99.60422 100.43406  99.39316  99.89494 #>  [15702]  99.92497 100.01000 100.00000  99.76973  99.75971  99.85990  99.88994 #>  [15709]  99.95499  99.94498 100.09495  99.48869  99.86491 100.02000  99.79980 #>  [15716]  99.80982  99.98500  99.46859  99.67447  99.72963  99.76472  99.50377 #>  [15723]  99.68952 100.20978  99.38310  99.78477  99.59920 100.12992  99.54396 #>  [15730]  99.99000 100.31949  99.51884 100.26465  99.88994 100.15488  99.86491 #>  [15737]  99.88493  99.96499 100.10494  99.82986 100.05998  99.99000 100.19980 #>  [15744]  99.89494 100.08496 100.43904 100.18483 100.28958 100.04499  99.46356 #>  [15751]  99.80982  99.98000  99.87993 100.04499 100.09995  99.67949  99.86992 #>  [15758] 100.07997 100.14989 100.40418  99.98000  99.72963  99.62429  99.56405 #>  [15765]  99.99500  99.70958  99.91997 100.11993  99.86491  99.82485 100.01000 #>  [15772] 100.05998  99.60422  99.82485  99.67949  99.71459  99.60924 100.11993 #>  [15779] 100.00000 100.07997 100.17984  99.87993 100.07497  99.76472 100.12492 #>  [15786] 100.06998  99.43339  99.87993 100.10994  99.72462 100.10494 100.42410 #>  [15793] 100.11993 100.30454 100.00500  99.76973  99.83486  99.59920  99.77976 #>  [15800] 100.27961  99.79479  99.76472  99.72462 100.33444  99.61928  99.51884 #>  [15807] 100.16986  99.66444 100.04499  99.74969 100.00500  99.77976  99.83486 #>  [15814]  99.95499 100.09495 100.18483  99.83486 100.90590 100.11993  99.75971 #>  [15821]  99.80481  99.75470  99.79479 100.44899 100.21477  99.84989 100.28958 #>  [15828]  99.96499  99.86491 100.55347  99.75971 100.54850  99.99500 100.04499 #>  [15835] 100.13990  99.44345  99.86992  99.91496  99.64437  99.66444  99.90495 #>  [15842] 100.30454  99.81483  99.48869  99.39316  99.71961 100.07997 100.50373 #>  [15849] 100.04499 100.34939  99.99000 100.46890  99.88493 100.14989 100.50373 #>  [15856] 100.21976 100.14989 100.28460  99.92998  99.83987  99.94498  99.86992 #>  [15863] 100.13990  99.79479 100.15987  99.89995 100.12492 100.39422  99.74467 #>  [15870]  99.94999  99.47361 100.24969 100.16486 100.36932  99.70958 100.12492 #>  [15877]  99.52387 100.24969  99.81483 100.16986  99.55401  99.91496  99.71459 #>  [15884]  99.82986 100.00500 100.00500  99.88994 100.07997 100.23971  99.96499 #>  [15891] 100.14490 100.59324 100.05498 100.00500  99.72963  99.82986 100.40916 #>  [15898] 100.21976 100.34441  99.69955  99.36297  99.71961  99.88493  99.94498 #>  [15905] 100.23472 100.64293  99.84989  99.78477 100.10494  99.42837  99.62931 #>  [15912] 100.07997  99.69453 100.43904 100.04499 100.60318  99.82986  99.65942 #>  [15919] 100.58330 100.06498  99.81984  99.89995  99.86992  99.86992  99.92497 #>  [15926] 100.08496 100.35437  99.73966 100.03499 100.46392 100.01000  99.80982 #>  [15933]  99.58916  99.82986 100.37430  99.84989 100.18483 100.07997  99.93498 #>  [15940]  99.76973 100.11493 100.04499 100.18483 100.00000  99.79980 100.18982 #>  [15947] 100.25966  99.81984 100.51368  99.93998 100.49378 100.68267  99.92998 #>  [15954]  99.58414 100.56838  99.34787  99.70958 100.32946 100.21976  99.68450 #>  [15961] 100.35437  99.60422 100.00000 100.13990 100.29457 100.28460  99.48367 #>  [15968]  99.64939  99.53894 100.05998 100.40916  99.71961 100.19980  99.87492 #>  [15975]  99.98500 100.41414  99.67447  99.99500 100.03499 100.16486  99.82986 #>  [15982] 100.17984 100.09495 100.63797  99.76973  99.93998 100.04499 100.17485 #>  [15989]  99.84488 100.05998 100.24969  99.90495 100.34441  99.81984  99.62931 #>  [15996]  99.53391  99.68952  99.88493 100.04999  99.47864  99.91997  99.75971 #>  [16003]  99.47361  99.74467 100.05998 100.08496  99.75971 100.18483  99.99000 #>  [16010]  99.72462  99.62931 100.25966 100.45895 100.03999 100.20479 100.19980 #>  [16017]  99.94999 100.44899 100.06998 100.14490  99.58414 100.23971 100.13990 #>  [16024] 100.05998 100.11993  99.79479  99.83987 100.12492 100.08496 100.09995 #>  [16031]  99.84488  99.57911  99.94999 100.51865  99.81984 100.13491 100.24470 #>  [16038]  99.65440 100.14989  99.62931  99.33277 100.02000  99.93998  99.89995 #>  [16045]  99.95999  99.87993  99.79479  99.88994  99.99500  99.83486 100.02500 #>  [16052]  99.91997 100.16986  99.76973 100.05998  99.99000 100.55844  99.52889 #>  [16059]  99.88493 100.63797  99.68952  99.94498  99.91496 100.45397 100.24470 #>  [16066] 100.42908 100.13491 100.48881 100.34441  99.84488 100.09995 100.21976 #>  [16073] 100.07997  99.62429  99.92998 100.40418 100.09495 100.15488 100.50373 #>  [16080]  99.79980  99.82986 100.22974 100.19980 100.23971 100.15488 100.23472 #>  [16087] 100.21477 100.33942 100.41414 100.27961 100.22475  99.75470  99.81483 #>  [16094]  99.62429 100.23472  99.41831 100.22974  99.86491  99.88493 100.29955 #>  [16101] 100.44401  99.50377 100.27961 100.02000 100.00500 100.03499  99.99500 #>  [16108] 100.06998 100.47388  99.67447 100.45895  99.65942  99.94498  99.66945 #>  [16115] 100.29955  99.73966 100.60318  99.24717  99.95999 100.30454  99.70958 #>  [16122]  99.83486  99.80481 100.14490 100.07497 100.35935 100.51368  99.82986 #>  [16129] 100.23472  99.83486  99.92998  99.70958 100.22475 100.12492 100.19481 #>  [16136] 100.01000 100.12992 100.12992 100.15987  99.76973 100.07997  99.53894 #>  [16143]  99.84488 100.17485 100.54352  99.90996 100.13990  99.59920  99.84488 #>  [16150] 100.48383 100.09995 100.20978 100.27462  99.65942 100.79186 100.34939 #>  [16157]  99.71961 100.27462 100.26465 100.01500 100.11993  99.62429 100.06998 #>  [16164] 100.38426  99.95999  99.67949 100.18483 100.42410 100.03000  99.44345 #>  [16171] 100.10994  99.55401 100.02500 100.11493  99.97000  99.74467  99.77475 #>  [16178]  99.73966  99.72462  99.82485 100.29955 100.06998  99.66945  99.86491 #>  [16185] 100.21477 100.08996  99.58916  99.54396  99.77976 100.39920  99.85489 #>  [16192] 100.05998  99.59920  99.52387 100.05998 100.11493 100.12992 100.35935 #>  [16199]  99.24213  99.75971  99.91997 100.45397  99.97500  99.73966 100.27961 #>  [16206] 100.17485  99.70958  99.33781  99.73966  99.65942 100.16486  99.36297 #>  [16213]  99.61928  99.66444 100.53855  99.89995  99.84488  99.76973  99.76472 #>  [16220] 100.33942 100.41912  99.99500 100.16986  99.65440  99.58916 100.00000 #>  [16227] 100.05998  99.63935 100.03999 100.04999  99.89494 100.33444 100.56341 #>  [16234] 100.13990 100.34939 100.43406  99.56907 100.51865 100.14989 100.44899 #>  [16241]  99.87993  99.59920 100.60318 100.06498 100.06498  99.68450  99.39316 #>  [16248]  99.49874 100.71246  99.85990 100.40916  99.90495 100.30952  99.81483 #>  [16255] 100.16986 100.09995  99.79479 100.16486 100.19980  99.87993  99.94999 #>  [16262] 100.11993 100.59324  99.65942  99.81984 100.22974 100.01500 100.41414 #>  [16269]  99.69955 100.36932 100.08496  99.75971  99.64939 100.07497 100.19980 #>  [16276]  99.64939  99.69955 100.37928  99.85489  99.90495 100.00000  99.49372 #>  [16283] 100.16486 100.25468 100.12492 100.07497 100.00500 100.16486 100.04499 #>  [16290]  99.44345  99.48367  99.32271 100.27961 100.08496 100.02000  99.86491 #>  [16297]  99.99000 100.34441 100.24969 100.12992 100.09495 100.06998 100.26465 #>  [16304] 100.34441  99.52889  99.49372  99.71961 100.29457  99.83987  99.49372 #>  [16311]  99.95999  99.85990  99.49372 100.25468  99.86491  99.56907 100.09995 #>  [16318]  99.80481 100.26964  99.91997  99.98500  99.78477  99.32271 100.83650 #>  [16325]  99.86491 100.41414  99.52889 100.41414 100.41912 100.27462 100.09495 #>  [16332] 100.57833  99.62931  99.99000  99.98000  99.92497 100.30952 100.05998 #>  [16339]  99.98000  99.93498 100.08996 100.07997 100.10994  99.68952  99.81483 #>  [16346]  99.86992  99.44848  99.69453 100.24969 100.19980  99.73966  99.83486 #>  [16353] 100.10994  99.59920 100.37928 100.10494 100.72735 100.28958  99.92998 #>  [16360] 100.08996  99.86992 100.23971 100.13491 100.04499  99.88493  99.72462 #>  [16367]  99.80982 100.08496  99.84989 100.20479 100.29457  99.97000  99.84488 #>  [16374] 100.27462  99.73966  99.79479  99.99000  99.91496  99.92497  99.86491 #>  [16381] 100.41414 100.04499 100.19481  99.67447 100.30454  99.76472 100.08496 #>  [16388] 100.20479  99.86992  99.70958 100.23472 100.07497  99.63935 100.03000 #>  [16395] 100.04999  99.68450  99.68952 100.59821 100.45895 100.28460 100.20978 #>  [16402]  99.93998 100.03999 100.00500 100.11493 100.24969  99.47864  99.75470 #>  [16409] 100.02500  99.73966  99.50879  99.48869 100.36932  99.86992  99.90495 #>  [16416] 100.18982  99.78477  99.67949  99.60422 100.16986 100.46392 100.26465 #>  [16423] 100.63797 100.02000  99.83987 100.42908 100.06998  99.91496 100.16986 #>  [16430] 100.24470  99.87993 100.34441 100.02000 100.19980 100.05498 100.12992 #>  [16437] 100.57336  99.85489 100.03499  99.67447 100.13990 100.03999  99.65440 #>  [16444] 100.01500  99.70456 100.43406 100.22974  99.90996  99.83486  99.92998 #>  [16451] 100.03499 100.25966  99.43842 100.04999  99.59418 100.26964 100.50871 #>  [16458]  99.76472  99.55401 100.51865 100.29457 100.14490  99.90495 100.35935 #>  [16465] 100.20479 100.11993  99.89995  99.88493 100.19980 100.05998 100.44401 #>  [16472]  99.97000 100.10994  99.74969  99.77976 100.05998  99.88493 100.40418 #>  [16479] 100.31451  99.86992  99.70456  99.90495 100.00000  99.88493 100.07997 #>  [16486]  99.88994  99.62931  99.80982 100.18982 100.10494 100.00000  99.98500 #>  [16493]  99.92497  99.70456 100.13491  99.79980  99.93998 100.35437  99.47864 #>  [16500] 100.30952 100.03499  99.91997  99.70958  99.98000  99.87492  99.88493 #>  [16507]  99.98000  99.65942 100.31451 100.43904 100.34939 100.14989 100.04999 #>  [16514]  99.91997  99.52889  99.95499 100.13491 100.04999 100.35935 100.10994 #>  [16521]  99.98500 100.27961 100.46392 100.18483 100.12492 100.00000  99.60422 #>  [16528] 100.05998 100.35437  99.82986 100.56341 100.00500  99.45351  99.73966 #>  [16535] 100.26465  99.75971 100.04499  99.80982  99.89494 100.37430 100.48383 #>  [16542]  99.50377  99.76973  99.99500  99.94999 100.11493 100.18483 100.31949 #>  [16549] 100.32946 100.21477  99.81984 100.49378  99.86491 100.25966  99.87492 #>  [16556]  99.78978 100.03000  99.61426 100.04499 100.30952  99.49874 100.06498 #>  [16563]  99.99500 100.26964 100.14989  99.71459 100.16986 100.62306 100.03999 #>  [16570]  99.59418 100.00500 100.14490 100.16486 100.14989  99.63935 100.14989 #>  [16577] 100.43406  99.64939  99.69453 100.29457  99.96499 100.09995 100.30952 #>  [16584] 100.13990  99.90495  99.94498 100.37430 100.29457  99.71459  99.94498 #>  [16591] 100.32946 100.04999 100.26964  99.49874 100.26465 100.09995  99.55903 #>  [16598] 100.38426  99.78477  99.80481 100.42908  99.72963 100.25468 100.31451 #>  [16605]  99.89995 100.10494  99.76472  99.61928 100.21976  99.89494  99.59920 #>  [16612]  99.74969  99.88994  99.94999  99.83987 100.24969 100.36434  99.85990 #>  [16619]  99.99500  99.77475  99.76472 100.18483  99.92998  99.95499  99.80982 #>  [16626]  99.73465 100.53358 100.16986 100.16986 100.24969 100.08996 100.18483 #>  [16633]  99.75971  99.93498 100.05998  99.81984  99.79479 100.43406 100.10494 #>  [16640]  99.22701 100.25966 100.10994 100.37928  99.75971  99.48869  99.97500 #>  [16647]  99.84989 100.05498  99.84488 100.36932  99.80481  99.69453  99.76472 #>  [16654]  99.91997 100.63300 100.24470  99.90996  99.55401 100.30454 100.01000 #>  [16661]  99.40322  99.97000 100.24969  99.60924 100.14490  99.92998 100.05498 #>  [16668]  99.79479  99.98000 100.25966  99.68952 100.00000  99.95999 100.20978 #>  [16675] 100.25468  99.69955 100.05998  99.03030 100.00500  99.78978 100.28460 #>  [16682]  99.79980  99.99500  99.51382  99.75971  99.92998 100.26964 100.05498 #>  [16689]  99.56907  99.76973  99.71459 100.15488 100.33942  99.70958 100.15488 #>  [16696]  99.62429 100.46890 100.08996  99.83486  99.90996 100.41912  99.90495 #>  [16703]  99.99500 100.72735 100.05498 100.02500 100.22475  99.54898 100.19481 #>  [16710]  99.52387 100.12492  99.58414 100.21976  99.63433 100.07997 100.12992 #>  [16717] 100.25966 100.44401  99.55401  99.88994 100.14989  99.87993 100.58827 #>  [16724]  99.73966  99.69453 100.15987  99.42837 100.49378 100.20479  99.93998 #>  [16731] 100.32946 100.59324 100.06998 100.48881  99.68450  99.48869 100.42410 #>  [16738]  99.89494 100.01500 100.41912 100.03000 100.32946 100.16986 100.27462 #>  [16745] 100.20479 100.22475  99.99000  99.72462 100.29457 100.04499 100.13990 #>  [16752] 100.32946 100.02500 100.17485  99.75470  99.86491 100.25468  99.80982 #>  [16759]  99.85489 100.54352 100.12992  99.73465  99.87492 100.16486 100.07497 #>  [16766] 100.00500 100.06498 100.13491  99.51382 100.02000 100.17485  99.61426 #>  [16773]  99.76973 100.21477 100.02500  99.82485  99.62931 100.19980  99.56907 #>  [16780]  99.98500  99.82485  99.83486  99.74467 100.11993  99.95999 100.39920 #>  [16787] 100.18483 100.29457  99.90996 100.13990  99.50879 100.29955 100.18483 #>  [16794] 100.04499 100.17984  99.94498  99.53894  99.52889 100.37430  99.42837 #>  [16801]  99.72963 100.52860 100.14989  99.56405  99.76973 100.05998 100.17485 #>  [16808]  99.57409  99.89494  99.91496  99.59920  99.72963  99.79980 100.23971 #>  [16815] 100.17485  99.72462  99.25724  99.61928 100.06998  99.86491  99.81984 #>  [16822]  99.84488  99.94498 100.14490  99.83486  99.86491 100.11993 100.14989 #>  [16829] 100.34939 100.30952 100.32946 100.12992 100.21976  99.55903  99.66945 #>  [16836]  99.46859 100.54352  99.59920  99.74969 100.53358  99.87492 100.26465 #>  [16843]  99.43339 100.42410 100.23971  99.89995  99.70456  99.38310  99.71961 #>  [16850] 100.28958 100.10994  99.45351 100.07997  99.97000 100.18982  99.58916 #>  [16857]  99.97000 100.21477  99.94999  99.49874  99.50879  99.75971  99.84989 #>  [16864] 100.24969 100.21477  99.57409  99.57409  99.67447  99.51884  99.88493 #>  [16871]  99.66444  99.87993 100.24969  99.54898  99.77475  99.57409  99.77976 #>  [16878] 100.48383  99.48869  99.60422  99.91496  99.81984 100.06498 100.44899 #>  [16885] 100.05498  99.99500  99.93498  99.82485  99.92497 100.24470  99.85489 #>  [16892]  99.91496 100.16986  99.74969 100.13990  99.85990 100.26465 100.69757 #>  [16899]  99.83987 100.24969  99.72963  99.84989 100.68764 100.76210 100.22974 #>  [16906]  99.46859 100.27462  99.93998  99.76973  99.64939  99.55401 100.56341 #>  [16913] 100.04499  99.85990 100.32447 100.40418 100.27961 100.00000  99.94999 #>  [16920]  99.44345  99.97000 100.48383 100.09495  99.91997  99.68952  99.66945 #>  [16927]  99.54898 100.07997  99.46859 100.24969 100.00500  99.60924  99.81483 #>  [16934]  99.77976  99.74467  99.58916  99.53391  99.95999 100.02000  99.41328 #>  [16941]  99.76973 100.01500 100.00500  99.67949  99.86992 100.48881  99.42334 #>  [16948]  99.61928 100.35437 100.03499  99.97500  99.61928  99.73966  99.63433 #>  [16955]  99.95499 100.49876 100.19980 100.08496  99.67949  99.90996  99.62429 #>  [16962] 100.02000  99.60924 100.06498  99.29753  99.80481 100.11993  99.59418 #>  [16969] 100.07497 100.04999 100.04499  99.83486  99.53391 100.21477 100.63797 #>  [16976]  99.73966 100.08996  99.93998  99.95499  99.58414  99.68450 100.17485 #>  [16983] 100.08496  99.54898  99.92497 100.24470 100.10994 100.08496  99.73966 #>  [16990]  99.71459  99.82485 100.01000  99.82986  99.88994  99.88994  99.65942 #>  [16997] 100.54352  99.89995  99.88994 100.29457 100.18483  99.42334  99.75971 #>  [17004] 100.01000  99.45351 100.16986  99.55903 100.05998  99.70456  99.50377 #>  [17011]  99.69453 100.27961  99.94498 100.16486  99.87492  99.73966 100.44401 #>  [17018]  99.54898  99.82485  99.90495  99.98500  99.89995 100.07997 100.14989 #>  [17025]  99.76973 100.31949 100.16986 100.15488 100.14490 100.04999 100.51865 #>  [17032] 100.08996 100.24470 100.07497  99.85990 100.25966 100.40916 100.28460 #>  [17039] 100.24470  99.98000 100.15488 100.12992 100.16986  99.43842 100.31949 #>  [17046] 100.41414  99.17157  99.88493 100.32946 100.23472 100.38426 100.06998 #>  [17053]  99.72963  99.59920  99.82986 100.15488  99.80481  99.67949  99.91496 #>  [17060] 100.30952 100.14490 100.49876  99.72963  99.60924  99.84488  99.90996 #>  [17067]  99.82986 100.26964  99.41328 100.12992  99.97500 100.08996  99.57409 #>  [17074]  99.47361 100.26465  99.98000 100.11993  99.61928 100.15488 100.21477 #>  [17081] 100.04999  99.54396  99.73966 100.19481 100.03000  99.92497 100.18483 #>  [17088] 100.19980  99.31264  99.94498 100.25468 100.20479  99.84488  99.65942 #>  [17095]  99.77976 100.36932 100.63797 100.43406  99.97000  99.81984 100.02500 #>  [17102] 100.12492 100.32447 100.47388 100.02000  99.66945  99.94999 100.15488 #>  [17109] 100.78690 100.37430  99.78978 100.36932 100.05498 100.34939 100.00000 #>  [17116] 100.34441  99.48869  99.62429 100.07497 100.67274  99.99000  99.97500 #>  [17123] 100.12492 100.05498 100.19980 100.09495  99.73465  99.72963  99.40322 #>  [17130]  99.46356 100.44401 100.06998 100.13491  99.68450 100.37430  99.73465 #>  [17137]  99.47361  99.77475 100.35935  99.98000 100.00500  99.67949  99.76472 #>  [17144]  99.81483 100.37928 100.13491  99.87993 100.28958  99.46859 100.03999 #>  [17151]  99.82986 100.27462 100.20479 100.26465  99.37303  99.97500  99.75470 #>  [17158] 100.11993  99.86992  99.89494  99.92497  99.83486  99.68450  99.62931 #>  [17165] 100.03499  99.64437 100.05998 100.24969 100.14989  99.69955 100.39422 #>  [17172] 100.02000 100.04499 100.10994 100.06998 100.45397  99.45351  99.60422 #>  [17179] 100.09995  99.67447  99.76973 100.03000  99.91997  99.87492 100.16986 #>  [17186]  99.70456  99.70456 100.01500  99.99000 100.09995  99.52889 100.02500 #>  [17193]  99.95499 100.07997 100.41414  99.66945 100.04999 100.46890  99.90996 #>  [17200] 100.15987  99.54396  99.98500  99.99500 100.30454 100.01000 100.36434 #>  [17207]  99.94498  99.61426 100.01000 100.09495 100.33942  99.73966 100.20479 #>  [17214]  99.51382  99.95999 100.06998 100.56341 100.00500 100.34441  99.75971 #>  [17221]  99.81984 100.03000  99.92998  99.76973  99.80982  99.54898 100.38426 #>  [17228]  99.99000  99.97000  99.79479  99.84488 100.15488 100.04999  99.63935 #>  [17235] 100.20978  99.99500 100.50871 100.08496 100.53358 100.09995  99.70958 #>  [17242] 100.07497  99.82485  99.99000 100.20479  99.99500  99.86491 100.54352 #>  [17249] 100.38924  99.71459  99.77475  99.75971  99.90996  99.97500  99.91496 #>  [17256]  99.77976 100.29457 100.03000  99.85990 100.26465 100.25966 100.02000 #>  [17263]  99.96499  99.70958 100.11993  99.82986  99.97000 100.11493  99.86992 #>  [17270] 100.17485 100.05498  99.85990  99.83987  99.75971  99.78978 100.44899 #>  [17277]  99.66444 100.11493 100.24969 100.13491 100.12492  99.85990 100.29457 #>  [17284]  99.47361 100.58827 100.00500  99.97500  99.93998  99.88994 100.18982 #>  [17291]  99.80982  99.99000 100.36932 100.21976  99.70456  99.70958 100.03999 #>  [17298] 100.01500 100.01000 100.03000 100.08996  99.85489 100.34441  99.82986 #>  [17305]  99.81483  99.93998  99.87492 100.33942  99.56907  99.64939  99.90996 #>  [17312] 100.36932 100.04499  99.59418 100.21976 100.31949 100.02500  99.74467 #>  [17319]  99.74969 100.19481  99.69955  99.92497 100.25966 100.05498  99.80982 #>  [17326] 100.27961 100.08496  99.92497  99.89494  99.94498  99.83486  99.97500 #>  [17333]  99.89995  99.97000 100.44401 100.16486  99.47864 100.32447  99.63433 #>  [17340] 100.50373 100.13491  99.87993  99.62429  99.91997  99.89494  99.90495 #>  [17347]  99.58414  99.63935 100.13491  99.65942  99.42334 100.28460  99.77475 #>  [17354] 100.06498  99.59418  99.86491  99.94999 100.10994  99.98500 100.24470 #>  [17361]  99.80481 100.08996  99.92998 100.11493  99.59418  99.95499 100.06498 #>  [17368] 100.40418  99.30760 100.42410  99.93998  99.47864  99.86491 100.34939 #>  [17375] 100.06998 100.03499  99.96499  99.94999 100.58827  99.88493  99.54396 #>  [17382]  99.73966 100.22974  99.99000  99.45853  99.76472 100.06498 100.13491 #>  [17389]  99.95999 100.34441 100.24969  99.71961 100.05998  99.64437 100.21976 #>  [17396]  99.93998  99.91496  99.48367  99.93998  99.53894 100.00000  99.93498 #>  [17403] 100.24969 100.10494  99.56907  99.75470  99.78477 100.28958 100.02000 #>  [17410] 100.11993  99.78978 100.14490  99.97000 100.12992  99.76973 100.43406 #>  [17417]  99.76973 100.19481 100.18483 100.25966 100.10994 100.45895 100.07997 #>  [17424] 100.37928 100.06498  99.94498 100.01000  99.89995 100.08996 100.11493 #>  [17431] 100.03000 100.01000 100.19980 100.15987  99.67949  99.74969  99.73465 #>  [17438] 100.15488 100.18483 100.13491 100.19980 100.09995  99.90996  99.36297 #>  [17445] 100.03499  99.73465 100.19980  99.78477 100.13990 100.42908 100.03999 #>  [17452]  99.84488  99.96499 100.28460  99.69955  99.80481 100.18982  99.77475 #>  [17459] 100.10494  99.97500  99.65440 100.00000  99.98500  99.72462  99.95499 #>  [17466] 100.54352 100.27961 100.07997  99.27235  99.76973 100.32447 100.24470 #>  [17473]  99.97000  99.87492 100.12992  99.26228 100.42908 100.03999  99.53894 #>  [17480]  99.32774  99.62429 100.22974  99.86491  99.93498 100.23971  99.93498 #>  [17487]  99.54396 100.27462 100.39422  99.75971  99.59920 100.05498 100.00500 #>  [17494] 100.16986 100.22974  99.49372  99.82485 100.10494 100.36434 100.12492 #>  [17501] 100.21976 100.24470 100.07997  99.83486  99.96499 100.16486 100.02500 #>  [17508]  99.79980 100.03000 100.31949  99.86992  99.95999 100.36932 100.32946 #>  [17515]  99.88994  99.90495  99.83486  99.93998 100.08996  99.77475  99.60422 #>  [17522] 100.41912  99.98500 100.01000 100.03999  99.85489  99.94999 100.06498 #>  [17529] 100.16986 100.15488 100.24969  99.74467 100.13491  99.73465  99.87492 #>  [17536]  99.91997  99.73465 100.31949  99.80481 100.08996  99.92998  99.66945 #>  [17543]  99.55903  99.82986 100.04999 100.04999 100.40418  99.72963  99.87492 #>  [17550] 100.06498 100.34441 100.22974  99.94999 100.08996  99.54396 100.03499 #>  [17557]  99.91496  99.88994  99.97000 100.03499  99.81984 100.53358  99.82986 #>  [17564] 100.14989  99.88493  99.52387 100.03999 100.37430 100.05498  99.80982 #>  [17571] 100.19980 100.11493 100.04499  99.94498 100.01000 100.28460  99.13123 #>  [17578] 100.05498  99.79479  99.57911 100.28958 100.10994  99.97000 100.23971 #>  [17585]  99.71459 100.26964  99.84488 100.38426 100.31949  99.80481  99.99500 #>  [17592] 100.40418 100.05498  99.98500  99.89494 100.05998  99.50377  99.84989 #>  [17599]  99.95999 100.13491  99.82986  99.87993 100.48881  99.50377  99.94999 #>  [17606]  99.69453  99.71459 100.23472  99.91496  99.91997  99.79479  99.42837 #>  [17613]  99.90996 100.28460 100.00500 100.29955  99.61426 100.15987  99.92998 #>  [17620] 100.05998  99.83987  99.77976 100.29955 100.07997 100.10994 100.05498 #>  [17627] 100.56341  99.86491  99.79980  99.71459  99.81483  99.80481 100.00000 #>  [17634] 100.20479  99.87993  99.69955  99.77976  99.79980 100.37928 100.48383 #>  [17641]  99.67447 100.00000 100.29955  99.85489 100.19481  99.92497  99.91997 #>  [17648]  99.94498 100.14490  99.62931  99.65440 100.27462 100.34441 100.20479 #>  [17655] 100.61312 100.07997  99.87993 100.30454  99.41328 100.45895 100.29457 #>  [17662]  99.30257  99.92497  99.51884 100.34441  99.97000  99.96499  99.72963 #>  [17669] 100.39422 100.05998 100.18483 100.03499 100.22475 100.01000  99.77976 #>  [17676]  99.87993 100.07997  99.86491  99.90996 100.12492 100.47885 100.05998 #>  [17683]  99.78477 100.29955 100.01500 100.02000 100.52860  99.96499  99.91496 #>  [17690]  99.30257 100.68764  99.73465 100.05998 100.25468 100.47388 100.09995 #>  [17697] 100.21477 100.27462 100.09495 100.41912  99.77976 100.71743  99.95499 #>  [17704] 100.06998  99.91496 100.06998 100.41414 100.33444 100.33942 100.10994 #>  [17711] 100.41414 100.26465 100.17485  99.98000 100.43904  99.78978 100.14490 #>  [17718] 100.19980  99.60422  99.82485  99.97500  99.80982 100.15488 100.07497 #>  [17725] 100.05498 100.26465 100.30952  99.65440 100.12492 100.09495 100.15987 #>  [17732]  99.97500 100.05498 100.08996 100.23971 100.02000  99.68952  99.94498 #>  [17739]  99.46356 100.54850  99.66945  99.71459 100.33942  99.97000  99.65440 #>  [17746]  99.91997 100.40916  99.79479 100.48881  99.74467 100.24969  99.64939 #>  [17753]  99.56405 100.20978 100.20978  99.70456  99.41831 100.10494 100.07497 #>  [17760] 100.57833 100.54352 100.35437 100.08496 100.22974 100.11493  99.99500 #>  [17767]  99.83987  99.86491 100.19481 100.01000 100.09995 100.72239 100.44899 #>  [17774] 100.15987 100.22974 100.19481  99.53894  99.93498  99.41831  99.89494 #>  [17781]  99.59418  99.74467  99.68450  99.81984 100.48881 100.22974 100.03000 #>  [17788] 100.14490  99.94498  99.88493 100.05998 100.40418  99.90996 100.46890 #>  [17795] 100.36932 100.42410  99.63433 100.20479 100.27961 100.18483 100.43406 #>  [17802]  99.98000 100.05498  99.44345  99.95999  99.65942  99.92497  99.78477 #>  [17809] 100.15987  99.92497  99.90495 100.62803  99.91997  99.60422  99.98000 #>  [17816] 100.28958  99.78477 100.28460  99.97000 100.54850  99.63433  99.85489 #>  [17823] 100.26465 100.30454 100.01000  99.65942  99.72963 100.47388  99.72963 #>  [17830] 100.26964  99.73966 100.13491  99.36297  99.64939 100.22475 100.50871 #>  [17837] 100.21477 100.08496 100.56838  99.81483 100.10494  99.57911  99.90495 #>  [17844]  99.96499  99.42334 100.29955  99.78978 100.02000 100.28958 100.10494 #>  [17851]  99.80982 100.34939  99.91997  99.98500 100.44899 100.38924 100.17984 #>  [17858] 100.30952  99.76472 100.03000  99.99000  99.55401 100.42410 100.00500 #>  [17865]  99.73465  99.95499 100.17984  99.80982 100.68267  99.74467 100.06998 #>  [17872] 100.04999  99.56405  99.55903 100.10494  99.90495  99.56405  99.80982 #>  [17879] 100.36932  99.50377 100.03499 100.17984  99.93498 100.29457  99.66444 #>  [17886] 100.28958  99.74467  99.93998  99.95499 100.00000 100.30454  99.85489 #>  [17893]  99.61928  99.98500  99.93498 100.25468 100.58330 100.39920  99.82485 #>  [17900]  99.85489 100.26465 100.11493 100.07997 100.25468 100.23472 100.00000 #>  [17907]  99.87993  99.88493  99.58414  99.79479 100.02500 100.10994  99.65440 #>  [17914] 100.06498 100.61809 100.04999  99.63433 100.13491 100.10994  99.43339 #>  [17921]  99.97500  99.55903  99.98500 100.13990 100.23971  99.70958  99.86491 #>  [17928] 100.14490 100.17485 100.36932 100.36434  99.56907 100.03000  99.55903 #>  [17935]  99.62429 100.13491  99.82986 100.17485 100.22475  99.81483 100.01500 #>  [17942]  99.89494 100.43904 100.10994  99.81984  99.91496  99.79479 100.18982 #>  [17949]  99.95999 100.26964  99.87492 100.11493  99.76472  99.87993 100.24969 #>  [17956] 100.41912 100.26964  99.49874 100.13491 100.03000 100.10994 100.16986 #>  [17963] 100.56341 100.47885  99.50879 100.02000  99.78477  99.91496 100.23472 #>  [17970] 100.03000  99.80481 100.49378 100.24470  99.60422 100.13990  99.62931 #>  [17977] 100.22475 100.29457  99.18165 100.50871  99.75971  99.97000 100.20978 #>  [17984] 100.18982 100.10494 100.10994 100.31949 100.26465 100.14490 100.16486 #>  [17991] 100.25966  99.73465 100.44899 100.41912  99.69955  99.77475  99.73465 #>  [17998] 100.67274 100.02500  99.82986  99.51382 100.44401  99.73966  99.86992 #>  [18005]  99.96499 100.15488  99.77475  99.92497  99.78978  99.97000  99.81984 #>  [18012] 100.26964  99.67949 100.32946 100.11493  99.62429 100.34939  99.97000 #>  [18019] 100.44401 100.28460  99.52387 100.67770 100.09495  99.63433  99.68450 #>  [18026] 100.61809  99.73966 100.20978  99.63433 100.03999  99.62931 100.14989 #>  [18033]  99.74467  99.98000  99.94999 100.12992  99.88994 100.50373 100.55844 #>  [18040]  99.97000  99.71961 100.27961  99.77976  99.92998 100.20479  99.75971 #>  [18047] 100.34441  99.83987  99.78477 100.40418  99.62429  99.89995  99.48367 #>  [18054] 100.31949  99.48869 100.06998 100.25468  99.69955  99.92998 100.35935 #>  [18061]  99.79980  99.99000  99.50879  99.86992  99.63433 100.22974  99.68450 #>  [18068] 100.07497  99.62429 100.60318 100.07497  99.97500 100.16986  99.70958 #>  [18075] 100.48881  99.79479  99.93998 100.34441  99.54396  99.95999  99.77475 #>  [18082] 100.68267 100.13491  99.89494  99.55401  99.87993 100.55347  99.75971 #>  [18089] 100.45895  99.97000  99.91997 100.29955  99.32774 100.14490  99.57409 #>  [18096] 100.16986 100.14989  99.65942 100.48383  99.50879 100.19980  99.64437 #>  [18103]  99.63433  99.70456  99.97500  99.44848  99.89494  99.99500  99.75971 #>  [18110]  99.91496 100.08496 100.19980 100.04499 100.10994  99.79479  99.86491 #>  [18117] 100.08996 100.00000  99.92998 100.34441  99.83987 100.06998 100.10494 #>  [18124] 100.13491 100.13990 100.00000  99.61426 100.37430  99.80982  99.54396 #>  [18131]  99.80481  99.76472  99.77475  99.75470 100.36434  99.75470 100.32447 #>  [18138]  99.83486  99.65440 100.22475 100.35935  99.64437 100.05498  99.91997 #>  [18145] 100.42908  99.55903  99.85990  99.48869 100.09995 100.35437  99.87993 #>  [18152] 100.27462 100.06998 100.22475  99.90495  99.95499  99.66945  99.92497 #>  [18159] 100.22974  99.79980  99.86491  99.47361 100.42410  99.96499  99.40322 #>  [18166] 100.11993  99.95999 100.51865  99.68450 100.58330 100.44401  99.86992 #>  [18173]  99.72963 100.01500 100.35437  99.81483 100.02000  99.66945 100.08996 #>  [18180]  99.77475  99.71961 100.25468  99.71961 100.19481  99.99000 100.00500 #>  [18187]  99.81984 100.01500 100.45895 100.06498  99.63935 100.66280  99.70958 #>  [18194]  99.84488 100.10994 100.36434  99.73966  99.69955 100.11493  99.90495 #>  [18201] 100.60318 100.09995 100.30454 100.52860 100.01500  99.94498 100.07497 #>  [18208] 100.01500  99.58916  99.69453 100.00000  99.71459 100.29457 100.28460 #>  [18215]  99.84488  99.83486  99.86992  99.48367  99.74467  99.79479 100.07497 #>  [18222] 100.26964  99.99500  99.81483  99.49874 100.02000  99.79479 100.26964 #>  [18229] 100.23971  99.65942 100.30952  99.78978  99.96499  99.75971 100.17485 #>  [18236]  99.90495 100.11993 100.54352  99.66945 100.54850 100.19481  99.70958 #>  [18243] 100.03999  99.64437  99.51382 100.34939 100.04499  99.81984 100.06998 #>  [18250] 100.71743 100.16986 100.06998 100.08496  99.93998 100.05498 100.14989 #>  [18257]  99.68952  99.76472 100.09995  99.89995  99.88994  99.97500  99.89494 #>  [18264]  99.87492 100.28958 100.04999 100.19980  99.72462 100.28958 100.00000 #>  [18271] 100.51865  99.86992  99.93498 100.02000  99.92998 100.23472  99.63433 #>  [18278]  99.99000  99.98500 100.00000  99.37807 100.08996  99.80481 100.03000 #>  [18285]  99.84488  99.52387 100.07997  99.45853  99.64437  99.88493  99.89494 #>  [18292] 100.54352  99.79479 100.27462  99.99000  99.87492  99.64939  99.94498 #>  [18299]  99.86491 100.03999  99.71961  99.77976  99.82485 100.47388 100.10994 #>  [18306] 100.27961 100.31949 100.08996  99.55401 100.25468  99.95999 100.22475 #>  [18313]  99.82485  99.62429 100.16486  99.27235  99.61928  99.94498  99.78978 #>  [18320] 100.05998 100.09995 100.50871 100.29955  99.89995  99.74969  99.72462 #>  [18327] 100.17984  99.73465  99.97500 100.06998 100.22974  99.91997  99.46356 #>  [18334] 100.11993  99.91496 100.57833  99.95999  99.49874  99.80982  99.69453 #>  [18341]  99.54396  99.92998  99.72462  99.73966  99.64437 100.20479  99.65440 #>  [18348]  99.86992 100.24470 100.15488 100.06998 100.09995 100.53855 100.35437 #>  [18355]  99.96499 100.47388 100.23472 100.09495 100.04999 100.02000  99.72462 #>  [18362] 100.34441  99.86992  99.99000 100.43904  99.98000  99.58916  99.95499 #>  [18369]  99.77976 100.16986 100.24470 100.19481 100.25468  99.50377  99.50879 #>  [18376] 100.07997 100.31949 100.21477  99.81483 100.13491 100.14490  99.76973 #>  [18383]  99.97500 100.11493 100.04499 100.11993  99.92998 100.05998  99.94498 #>  [18390]  99.81984  99.71459  99.63935  99.71961 100.28958 100.21976 100.24470 #>  [18397]  99.84488  99.81483  99.75971 100.24969  99.91496  99.42334 100.46890 #>  [18404]  99.73465 100.35437  99.50879  99.90495 100.18483 100.41912 100.04999 #>  [18411] 100.07497 100.17485  99.52889 100.02000 100.22475  99.87993  99.99000 #>  [18418]  99.83987 100.49378  99.91997  99.77976 100.13491  99.81984  99.88493 #>  [18425]  99.61928 100.06498  99.99500  99.67447  99.66444 100.28460  99.81483 #>  [18432] 100.12492  99.86992 100.78690  99.92497  99.83486  99.82986  99.92497 #>  [18439]  99.86491 100.40916  99.77976 100.08996  99.77976 100.46890  99.51884 #>  [18446]  99.77976 100.09995 100.03000 100.19481  99.79980  99.52889  99.72462 #>  [18453]  99.88493  99.54898  99.65942  99.64437 100.49378  99.79479  99.47361 #>  [18460]  99.73966  99.87492 100.14490 100.47885  99.82986  99.87993  99.89995 #>  [18467]  99.72462  99.92497  99.95999  99.88994 100.72239  99.98000 100.11993 #>  [18474]  99.51382  99.74969 100.40916  99.71459  99.80982 100.54850  99.67447 #>  [18481]  99.83486  99.95499  99.73465  99.84488 100.02500 100.30454 100.53358 #>  [18488]  99.47864  99.92497  99.78978 100.23472 100.07997  99.23709  99.97000 #>  [18495]  99.81984  99.68952 100.26465 100.48383  99.98500 100.21976 100.27961 #>  [18502]  99.53391  99.54396 100.03499 100.17485 100.03499  99.88493 100.38426 #>  [18509]  99.80481  99.92998  99.78477  99.79980  99.69955 100.26964  99.65440 #>  [18516]  99.98500 100.32447 100.21477  99.72462  99.51884  99.89494  99.92497 #>  [18523] 100.13491  99.74467 100.33444  99.61928  99.93498  99.67949  99.70958 #>  [18530] 100.08996 100.11493 100.10494 100.36932 100.53358 100.55347 100.36434 #>  [18537] 100.41414 100.37430  99.57409  99.80481 100.13990 100.09495 100.00000 #>  [18544] 100.32946  99.60924 100.52363 100.03999 100.30952 100.03499 100.03000 #>  [18551]  99.75470  99.63935 100.23971 100.14490  99.53894 100.00500  99.58916 #>  [18558]  99.85489  99.99000  99.98500 100.31451  99.81483 100.01000  99.69955 #>  [18565] 100.26964 100.00500  99.58916  99.76973 100.27961 100.46392  99.72462 #>  [18572]  99.94498  99.97000  99.96499 100.37928  99.78978 100.66280  99.73465 #>  [18579]  99.37303 100.26964 100.04999 100.09995 100.55844  99.88994 100.43406 #>  [18586] 100.14490 100.54352  99.65440 100.36434 100.06498  99.64437 100.36932 #>  [18593]  99.28243 100.37928  99.92998 100.29955 100.22475  99.63433  99.94498 #>  [18600]  99.63935  99.75971  99.68952  99.76973  99.82485  99.70456 100.34939 #>  [18607] 100.28460 100.10494  99.83486  99.38310  99.75470  99.91496  99.39819 #>  [18614]  99.78978 100.16486  99.53391  99.50879 100.12492  99.74969 100.02000 #>  [18621] 100.28460  99.91997 100.08496  99.87993  99.57911 100.82658 100.16986 #>  [18628]  99.81984 100.18982  99.59920 100.56838  99.98500 100.11993 100.38426 #>  [18635] 100.01500 100.33942  99.89494 100.05998 100.30952  99.78978  99.82485 #>  [18642]  99.75470  99.78978  99.46356  99.96499 100.50373  99.47864 100.58330 #>  [18649]  99.89494  99.87993 100.30454 100.05498 100.04999 100.26465 100.13491 #>  [18656] 100.24470 100.01000 100.04999 100.07997  99.60422  99.88493  99.60924 #>  [18663] 100.03000  99.94498 100.28958  99.96499 100.07497 100.11493 100.06498 #>  [18670] 100.34441 100.02500 100.54850  99.94498  99.79980  99.86491 100.61312 #>  [18677] 100.32447  99.86992 100.04999  99.82986 100.18483 100.15987  99.86491 #>  [18684] 100.06498  99.59920  99.74969 100.39920  99.70456  99.68450 100.08996 #>  [18691] 100.18982  99.64939 100.22475  99.89995  99.75470 100.08496 100.10994 #>  [18698] 100.30952 100.03499  99.85990 100.12992  99.66444 100.15488  99.73465 #>  [18705] 100.35437 100.06998 100.58330 100.42908 100.25966 100.51368 100.55347 #>  [18712] 100.18982 100.21477 100.28958 100.09995  99.77976 100.41912  99.68450 #>  [18719] 100.43904 100.65784 100.12992  99.54898 100.10994 100.44401 100.01000 #>  [18726]  99.79980 100.19481 100.14989 100.08996  99.95499 100.21477  99.74969 #>  [18733] 100.47885 100.29457 100.34939 100.04499  99.76472 100.01500  99.70958 #>  [18740] 100.12992  99.37807 100.05498  99.79479 100.43904  99.84989  99.91997 #>  [18747]  99.94999 100.37430  99.84989 100.23971 100.04999 100.12992 100.39920 #>  [18754] 100.60815 100.19481 100.02000 100.37430 100.32946 100.45397  99.85990 #>  [18761]  99.75971 100.00500  99.76472 100.04999  99.54898 100.20978  99.66444 #>  [18768] 100.12992 100.03499 100.22974 100.14490  99.92998  99.62429  99.76973 #>  [18775] 100.41912  99.88493  99.78978 100.25966  99.89494  99.74969  99.80982 #>  [18782] 100.30952 100.14989  99.87993  99.82986  99.89995 100.10994  99.80982 #>  [18789] 100.14989 100.14490 100.07497 100.04499 100.03499  99.54396  99.99000 #>  [18796] 100.33444 100.38426 100.03999  99.68450 100.56838 100.04499 100.38924 #>  [18803] 100.32447  99.82986 100.03499 100.25966  99.94498  99.85489  99.63433 #>  [18810] 100.23472 100.15987  99.80481 100.20978 100.04999 100.35437 100.09995 #>  [18817] 100.02000  99.93498  99.80982  99.82986  99.79980  99.70456  99.88994 #>  [18824] 100.23472 100.13491  99.84989 100.19481  99.49372 100.02500 100.01000 #>  [18831]  99.94498  99.86491 100.20479 100.06998 100.19481  99.70456 100.29955 #>  [18838] 100.39422  99.57409 100.16486 100.25966  99.73465  99.98000 100.12992 #>  [18845]  99.54898  99.90996  99.41328  99.65942 100.14490 100.34441  99.74969 #>  [18852]  99.31264 100.01500  99.94999 100.05498  99.97000  99.83486 100.02000 #>  [18859]  99.82485 100.35437 100.37928  99.72462 100.27462  99.94498 100.04999 #>  [18866]  99.74467  99.44848 100.28958  99.69453  99.94999 100.12492  99.84488 #>  [18873] 100.12492  99.92998  99.90495 100.28958  99.66444  99.57911  99.71459 #>  [18880] 100.01500 100.14989 100.35437  99.85990 100.06998 100.01000 100.25468 #>  [18887]  99.80481  99.36297  99.66444 100.38924 100.08996 100.11493  99.85489 #>  [18894]  99.88994 100.23472 100.07497 100.04999  99.49874 100.08996  99.74969 #>  [18901] 100.05498  99.99000 100.17984  99.71459 100.03499  99.93998 100.46890 #>  [18908]  99.90495  99.78477 100.05498  99.69955  99.73465 100.08496  99.87492 #>  [18915] 100.28958  99.67949 100.24969 100.58827  99.93498 100.06998 100.07497 #>  [18922] 100.51368  99.88994 100.16486 100.05998 100.26964 100.37928  99.88493 #>  [18929]  99.99000 100.09995 100.22475  99.72963  99.68952  99.59920 100.32447 #>  [18936]  99.91496  99.49874 100.13990  99.95999  99.66945  99.81984 100.00500 #>  [18943] 100.06998 100.40916 100.04499 100.61312 100.28958 100.57336 100.09495 #>  [18950]  99.98500  99.73966 100.06498 100.17984 100.30454 100.18483 100.58827 #>  [18957]  99.76973 100.23472  99.59920 100.30454  99.84989  99.57409 100.34939 #>  [18964] 100.38426  99.72963 100.51368  99.97500  99.84488 100.41414  99.59920 #>  [18971]  99.87492  99.91997 100.14989 100.39920 100.28958  99.48367  99.55401 #>  [18978] 100.01000  99.52387  99.81483 100.50871 100.28958 100.43904  99.74467 #>  [18985] 100.20978 100.02000  99.92998 100.00000 100.03499 100.20978  99.82485 #>  [18992]  99.79479 100.05998 100.02000  99.84989  99.86491  99.88493  99.48367 #>  [18999] 100.28460 100.03999 100.51865  99.56907 100.44899 100.33444 100.23472 #>  [19006] 100.03000 100.36932 100.27462  99.87492  99.91496 100.11493 100.03499 #>  [19013] 100.06498 100.52363  99.71961  99.89494  99.89995 100.21976 100.11493 #>  [19020]  99.86992 100.39422 100.11993 100.15987 100.45895  99.74467 100.26465 #>  [19027]  99.94498 100.18483  99.75470  99.98000  99.91997 100.06998  99.76973 #>  [19034] 100.06498  99.67949  99.99500 100.72735 100.42410  99.62429 100.44899 #>  [19041]  99.78978 100.12992 100.18982  99.70958  99.83987 100.02000  99.80982 #>  [19048]  99.95499  99.99000 100.35935  99.83486  99.75470  99.69955 100.06998 #>  [19055]  99.64939  99.93498  99.96499  99.34284 100.33942 100.15987 100.20978 #>  [19062] 100.65784  99.80982 100.01000 100.29457 100.32447  99.56907 100.09495 #>  [19069] 100.14490  99.91496  99.88493 100.27961 100.36434 100.47885 100.14989 #>  [19076]  99.65942 100.10994  99.85489  99.85489  99.94999  99.81483  99.79479 #>  [19083] 100.20479 100.42908 100.15488 100.22974 100.17485 100.03999 100.23971 #>  [19090]  99.87492 100.14989 100.06498 100.14490 100.23971  99.74467 100.19980 #>  [19097] 100.32447 100.05498  99.69955 100.04999  99.92998 100.19980  99.97000 #>  [19104]  99.90996 100.67274  99.91997 100.03499  99.24717 100.03000 100.26964 #>  [19111]  99.58916 100.58827  99.54396  99.38310 100.07997 100.03999 100.45895 #>  [19118] 100.14490 100.16986 100.49876 100.16486 100.16486 100.13491 100.33942 #>  [19125]  99.60924 100.01500  99.31767  99.59920  99.73465 100.13990  99.79980 #>  [19132]  99.70456 100.04499 100.05498  99.57409 100.12492 100.07997  99.91496 #>  [19139] 100.28958 100.11493 100.37928  99.80481 100.31949  99.97500  99.57911 #>  [19146] 100.05998 100.03499 100.50373 100.27462 100.07497 100.15987  99.71459 #>  [19153] 100.20978 100.60318  99.97500  99.50377 100.30454  99.84488 100.16486 #>  [19160]  99.49372 100.30952 100.02500 100.45895 100.93067  99.94999  99.64437 #>  [19167]  99.75470 100.08496 100.29457 100.27961  99.82485 100.00000 100.21976 #>  [19174] 100.09495  99.88493 100.18982 100.13990 100.11493  99.55903 100.58330 #>  [19181]  99.56405  99.59418 100.19980 100.27462  99.94498 100.55844 100.22475 #>  [19188] 100.00000 100.27462 100.19980 100.16486  99.94999  99.65942 100.56838 #>  [19195]  99.86992 100.40916 100.10494  99.81984 100.43406  99.96499  99.30760 #>  [19202]  99.96499 100.00000 100.49378 100.38924  99.83486 100.14490 100.21477 #>  [19209]  99.93998  99.99000  99.84488  99.62429 100.44401 100.47885 100.10494 #>  [19216] 100.72239 100.03999  99.80982 100.66280  99.74467  99.91496  99.76973 #>  [19223]  99.84488  99.70958  99.93498  99.82986  99.65942 100.40418 100.09495 #>  [19230] 100.04499  99.76973  99.72963  99.83486  99.91496 100.50373  99.42837 #>  [19237] 100.06498 100.39920 100.28460  99.97000 100.30454  99.83486  99.70456 #>  [19244]  99.74969  99.93998  99.58414  99.85489 100.22974  99.75971  99.98000 #>  [19251]  99.88493 100.37928 100.47388 100.21976  99.99500 100.19481  99.84989 #>  [19258] 100.18982  99.92497  99.63433 100.32946  99.75470 100.74721  99.72963 #>  [19265] 100.19481 100.39422 100.08996 100.37928 100.26465  99.86491  99.80982 #>  [19272]  99.59920  99.78978  99.88493  99.96499  99.65440  99.84488 100.25468 #>  [19279]  99.99500  99.81483 100.31949  99.83486 100.14989  99.99500 100.56341 #>  [19286]  99.89494  99.32271 100.18483 100.01000  99.81483  99.87993 100.23472 #>  [19293]  99.34787 100.17984  99.80481  99.98000  99.82485  99.65942 100.00000 #>  [19300] 100.02500  99.89995 100.29955 100.12492 100.30952 100.26465  99.74467 #>  [19307]  99.71961 100.26465 100.30952  99.90996 100.45895 100.11493  99.89494 #>  [19314] 100.13990  99.68952  99.58916 100.29457  99.83987  99.50879 100.27462 #>  [19321]  99.72462 100.10994 100.05998 100.23472 100.03000  99.78978 100.12492 #>  [19328] 100.20978  99.59418  99.78978 100.42410  99.97000 100.02000 100.32946 #>  [19335]  99.76472  99.92998  99.66444 100.24470 100.40916  99.33277  99.97500 #>  [19342] 100.00000 100.53855  99.95499 100.03499  99.70958  99.78477 100.16486 #>  [19349]  99.34787 100.17984 100.22974 100.20479 100.04499  99.90495 100.12992 #>  [19356] 100.39920 100.00000  99.47361  99.99000 100.09995 100.30454  99.98500 #>  [19363]  99.90495 100.10494  99.94498 100.56838 100.55844  99.95499 100.62306 #>  [19370]  99.77475  99.47864  99.91496  99.75971 100.20978  99.94999 100.21976 #>  [19377] 100.02000 100.13491 100.08996 100.01500  99.73966 100.26964 100.03000 #>  [19384] 100.00500  99.67949 100.20978  99.97500  99.97000 100.06998 100.33444 #>  [19391] 100.28460 100.39422  99.22701  99.75470 100.15488  99.69453 100.17485 #>  [19398]  99.98500 100.14989 100.07497 100.37928 100.17984  99.57409 100.02000 #>  [19405] 100.01500 100.03000 100.10994 100.38924 100.45895  99.57911  99.68952 #>  [19412]  99.95999 100.04999 100.24969 100.62306 100.00000  99.59418  99.99000 #>  [19419] 100.42410  99.46859  99.69955  99.79980 100.00000  99.17661  99.83987 #>  [19426]  99.99500  99.98500  99.85489  99.87993 100.06498 100.20479  99.60924 #>  [19433]  99.89995 100.21477 100.09995  99.77475  99.83987  99.97500  99.94999 #>  [19440] 100.19980  99.94498 100.38924 100.07997  99.98000  99.90996  99.89995 #>  [19447] 100.58827 100.14989  99.55401 100.10994  99.79980  99.94999  99.52387 #>  [19454]  99.43842  99.86992  99.67447  99.79980 100.45895 100.38924  99.77976 #>  [19461] 100.52363  99.85990 100.39422 100.00500 100.00000 100.03499  99.32271 #>  [19468] 100.11493  99.80481 100.02500  99.30257 100.15987  99.90495  99.78477 #>  [19475] 100.45397 100.09495  99.92497 100.22974 100.38924  99.61426 100.61312 #>  [19482] 100.15488  99.49874  99.60422 100.09495 100.25966  99.93998  99.94999 #>  [19489] 100.27961 100.39422  99.79479  99.64437  99.54396  99.75470  99.89494 #>  [19496] 100.15488 100.42410  99.93498  99.94498  99.86491 100.71246  99.70456 #>  [19503]  99.56907  99.77976  99.39316 100.15987 100.00000  99.79980  99.76973 #>  [19510] 100.29955 100.00500  99.38813  99.62429  99.77475 100.37928 100.03499 #>  [19517] 100.33942 100.65784 100.46890  99.73465  99.44848 100.54850 100.11493 #>  [19524] 100.27462 100.28460 100.53855  99.98000 100.07497  99.65942 100.08496 #>  [19531] 100.38426 100.30952  99.88994 100.10994 100.26465 100.40418  99.71459 #>  [19538] 100.62306 100.20978 100.21976 100.12492 100.02000  99.91496 100.20479 #>  [19545]  99.84488 100.21477  99.90495  99.89995  99.70958 100.14490 100.17485 #>  [19552] 100.03999  99.98500  99.81984  99.78477 100.35437  99.66945  99.62429 #>  [19559]  99.70456 100.12992  99.87492  99.84488  99.68450  99.90996  99.67447 #>  [19566] 100.22475  99.99000  99.85990  99.90996 100.35437 100.20978 100.09995 #>  [19573]  99.57911 100.29457  99.57409  99.83987 100.18483  99.86992  99.87492 #>  [19580]  99.87993 100.39920  99.75971  99.66945 100.35935 100.29457 100.09995 #>  [19587] 100.20978 100.35935 100.25966  99.58916 100.16486 100.13990 100.16486 #>  [19594]  99.92998  99.71459 100.66777  99.32774  99.56907 100.13990  99.81984 #>  [19601] 100.15488 100.31949 100.31949  99.73966 100.03499  99.94999  99.92497 #>  [19608] 100.00000  99.86992  99.32271 100.38426 100.08996 100.18483 100.22475 #>  [19615]  99.87993  99.82485  99.90495 100.23971  99.84989  99.78477  99.75971 #>  [19622] 100.30454 100.21477 100.42410 100.03999  99.43339  99.75470  99.98000 #>  [19629]  99.50377  99.52387  99.96499 100.11993  99.93998  99.70456  99.96499 #>  [19636]  99.99000 100.04999  99.88994  99.54898 100.01500 100.33942  99.79980 #>  [19643] 100.16486  99.84989  99.70456 100.03000 100.19980 100.31451 100.07497 #>  [19650] 100.34441 100.16486  99.80481 100.41912  99.99500  99.68450 100.06498 #>  [19657]  99.71459  99.93498  99.55401  99.77475  99.82986  99.70456  99.82986 #>  [19664]  99.99000 100.45895 100.06498  99.51884 100.22974  99.81483 100.08496 #>  [19671] 100.46890 100.09495  99.61426 100.23472  99.81984 100.13990  99.80982 #>  [19678]  99.98500 100.12992  99.61426  99.69453  99.91496 100.30952 100.08996 #>  [19685] 100.09495 100.05498 100.11993  99.59920 100.40916  99.37807  99.94498 #>  [19692] 100.32447  99.60422  99.72963 100.51368 100.28460  99.99000  99.90495 #>  [19699] 100.23472 100.29457  99.77976 100.03499  99.85489  99.76472  99.85489 #>  [19706] 100.03499 100.12492  99.89995 100.24969  99.74467  99.87492 100.18483 #>  [19713]  99.94498  99.61928  99.67447  99.43842 100.61312 100.38426  99.71459 #>  [19720] 100.41912 100.13491  99.44848  99.72462  99.93998 100.39920 100.12492 #>  [19727] 100.08996 100.31949 100.01000 100.26964 100.13491  99.83987 100.12992 #>  [19734] 100.16986  99.92998  99.78477 100.25966  99.70456  99.80481  99.55401 #>  [19741] 100.38924 100.10994  99.73465  99.58414 100.27961 100.42410  99.68952 #>  [19748] 100.22475  99.71459 100.20978 100.14989  99.63935 100.08996  99.55401 #>  [19755] 100.27462 100.47885  99.69453 100.90590  99.57911 100.21477 100.35935 #>  [19762] 100.37430 100.44899 100.00000 100.01000  99.97500 100.23472 100.41414 #>  [19769]  99.75971 100.18982  99.66945 100.16486  99.47361  99.89494 100.13491 #>  [19776]  99.75470  99.58414  99.77475 100.06998 100.05998 100.18982  99.95499 #>  [19783] 100.06498  99.86491  99.53391 100.45895  99.85489  99.79479 100.09995 #>  [19790] 100.26964 100.12492 100.22475  99.33781 100.04999 100.33444  99.89995 #>  [19797] 100.20978  99.81984 100.07497 100.21976 100.04999  99.69955  99.52889 #>  [19804] 100.04499 100.13491 100.92076  99.95499  99.99000  99.97500 100.00500 #>  [19811] 100.44899  99.99500  99.77475 100.15987  99.71961 100.62803 100.25966 #>  [19818]  99.60924  99.90996  99.92998  99.50879  99.92998  99.78477 100.11993 #>  [19825] 100.10994 100.09495  99.57911 100.34441 100.20479 100.61809  99.70456 #>  [19832] 100.12992 100.54352  99.97000  99.88994  99.92998 100.32447 100.25966 #>  [19839] 100.17984  99.95999 100.40916  99.82986  99.82485  99.82485 100.29955 #>  [19846]  99.84488 100.36434  99.79479 100.24470  99.98000  99.90996  99.80481 #>  [19853]  99.81984  99.66444  99.35291 100.14490  99.57911  99.55401 100.02500 #>  [19860]  99.90996  99.51382  99.63935  99.82986  99.27235  99.83987  99.55401 #>  [19867]  99.91496  99.70958 100.51865 100.54850 100.38924  99.68952 100.02500 #>  [19874]  99.92998  99.48869 100.14490  99.64437  99.82485  99.63433  99.48367 #>  [19881]  99.90996 100.12992  99.69955 100.10494  99.79479  99.73966  99.27235 #>  [19888] 100.03499  99.60924 100.06998 100.16486  99.72963  99.84989  99.90495 #>  [19895]  99.64437  99.85990  99.97500 100.16486 100.03999 100.22974 100.25966 #>  [19902] 100.02500 100.01500  99.55401  99.73966 100.21477  99.68450 100.14989 #>  [19909] 100.27961 100.25966 100.34441 100.28958  99.70456 100.21477 100.11993 #>  [19916]  99.88994 100.04499 100.37430  99.88493 100.19980 100.08496 100.09495 #>  [19923]  99.51884 100.00500 100.01500  99.34284  99.70958  99.72963  99.84488 #>  [19930] 100.42410  99.87993 100.31949 100.26465 100.17485  99.74969 100.00000 #>  [19937]  99.80481 100.19980 100.34939  99.66945  99.95499  99.69453 100.02500 #>  [19944] 100.41414  99.84488  99.89494  99.93998 100.26964  99.47361 100.32946 #>  [19951]  99.46356 100.21477 100.36932  99.95999  99.84989 100.06498 100.10994 #>  [19958] 100.11993  99.57911  99.60924  99.50377 100.04999  99.91997 100.02500 #>  [19965] 100.31451  99.52387 100.10994  99.98500 100.17485  99.92998 100.05498 #>  [19972]  99.91997  99.71961 100.19481 100.19481  99.84989  99.83987  99.44345 #>  [19979]  99.62931 100.44899 100.09995 100.17984  99.72462  99.54898 100.01500 #>  [19986]  99.78477 100.06998 100.56341  99.72462 100.21976 100.02000 100.03999 #>  [19993] 100.14490  99.86491  99.81984  99.85990 100.07997  99.80982  99.86992 #>  [20000] 100.50373 100.30952  99.86491 100.35437  99.91997 100.15488  99.55401 #>  [20007]  99.30760  99.75470  99.99500 100.24470  99.88493 100.30454  99.84989 #>  [20014] 100.48881 100.16486  99.91496  99.99000  99.71961  99.85489  99.94999 #>  [20021]  99.66945  99.92998  99.39316  99.91997  99.83987 100.37928 100.02500 #>  [20028]  99.64939 100.50373  99.92497 100.33444 100.03000 100.02000  99.71459 #>  [20035] 100.28460  99.82485  99.80481 100.05498  99.86491 100.12992 100.04499 #>  [20042]  99.86491 100.15987  99.80481  99.74467  99.57911  99.85990  99.83486 #>  [20049]  99.98500 100.09495 100.39920 100.26465 100.35437  99.46859 100.05998 #>  [20056] 100.40916 100.33444  99.45853  99.86992  99.86491  99.74467  99.98000 #>  [20063]  99.89995  99.92998  99.93998  99.94498 100.26465 100.35935 100.43904 #>  [20070] 100.57336 100.38426 100.24969  99.64437 100.00500  99.62931  99.86992 #>  [20077] 100.15488  99.95499 100.25468  99.79479 100.08496 100.40916 100.02000 #>  [20084]  99.95499  99.99500  99.75470 100.02000  99.95499  99.91997 100.18483 #>  [20091]  99.46356 100.06498 100.05498 100.17485 100.10994 100.16986  99.27235 #>  [20098] 100.03999  99.83486  99.47864 100.28958  99.95499 100.21976 100.25468 #>  [20105]  99.97500  99.59418  99.86491 100.12992 100.37928 100.18982  99.80982 #>  [20112]  99.59920  99.57911 100.25468  99.86491 100.22974 100.06498 100.10994 #>  [20119] 100.23472 100.03000  99.42334  99.58916 100.10494  99.77475 100.24969 #>  [20126]  99.74969 100.12492 100.27961 100.14490 100.02000 100.30952  99.81984 #>  [20133]  99.71961  99.54898  99.60422 100.15488 100.54352 100.04499 100.53358 #>  [20140] 100.54352  99.98500 100.00500  99.95999  99.55903 100.25468  99.94498 #>  [20147]  99.78477 100.31451 100.30454  99.92998  99.87492  99.53894 100.15987 #>  [20154]  99.32271  99.61426 100.08996  99.72462  99.44345  99.83987  99.75470 #>  [20161] 100.48383 100.37928  99.84989  99.64939 100.14989  99.61928 100.20978 #>  [20168] 100.40916 100.47885  99.67949 100.12492  99.94498 100.06498 100.41912 #>  [20175]  99.54396  99.58414  99.99000  99.80481  99.94498 100.18982 100.03999 #>  [20182]  99.76973  99.73966 100.15488  99.68450  99.84989  99.95999 100.34939 #>  [20189] 100.22475  99.97500  99.89494 100.05498  99.47361 100.46392  99.65942 #>  [20196] 100.16986 100.13491  99.78978 100.13990 100.02500 100.63797  99.46356 #>  [20203] 100.11493 100.44401  99.86992  99.72462  99.65942  99.99500 100.04999 #>  [20210]  99.40322  99.97500  99.90996  99.89494  99.84989 100.36434 100.37430 #>  [20217] 100.33942  99.40322  99.96499  99.45351  99.79980 100.29955 100.05998 #>  [20224]  99.80982  99.44345 100.02500 100.12492 100.03499  99.94498  99.81483 #>  [20231] 100.06498  99.91496  99.92998 100.19980 100.03999  99.82485  99.96499 #>  [20238] 100.23971  99.38813 100.63797 100.07997 100.21976 100.45397 100.23472 #>  [20245]  99.90495  99.85990  99.29250 100.09995 100.14490  99.96499  99.63935 #>  [20252]  99.89995 100.05998  99.81984  99.55401  99.72963 100.23971 100.10494 #>  [20259]  99.59920  99.86491  99.54898  99.80481  99.97500  99.48869 100.49378 #>  [20266]  99.89494  99.71961  99.90495 100.07497 100.13491  99.70456  99.60924 #>  [20273] 100.14989 100.23472 100.07497 100.38426 100.05998  99.58916 100.13990 #>  [20280]  99.64437  99.76973  99.69453 100.02500 100.05998  99.93998 100.59821 #>  [20287]  99.92497  99.81483 100.08496 100.21477  99.56405  99.35291 100.14989 #>  [20294]  99.88493 100.24969  99.87993  99.85489 100.30454 100.04999  99.53894 #>  [20301]  99.62429  99.72963  99.93998  99.80982 100.07997  99.55401  99.97000 #>  [20308] 100.18982 100.03000 100.36932  99.87492  99.41831 100.31949  99.91496 #>  [20315]  99.94999 100.51865  99.70958  99.91997 100.15987 100.09495 100.12492 #>  [20322]  99.56907  99.94498 100.19481 100.12992 100.27462 100.18982  99.60924 #>  [20329] 100.40418 100.40916 100.28460  99.74969  99.64437  99.82485  99.97000 #>  [20336] 100.27462  99.93498  99.70958  99.75470  99.96499  99.94498 100.52363 #>  [20343]  99.93998  99.90495 100.09495  99.98500  99.73966 100.35935  99.65942 #>  [20350]  99.71961  99.53391  99.91997  99.97000  99.94999 100.12992 100.26465 #>  [20357] 100.47388 100.32946  99.98500  99.56405 100.25966 100.26964  99.56907 #>  [20364] 100.07997 100.26964  99.78477  99.87993 100.39920  99.92497 100.50871 #>  [20371] 100.07997  99.85489  99.92998  99.40322 100.01000 100.34441 100.47388 #>  [20378] 100.31949 100.37928  99.92998 100.20479  99.48869  99.47361 100.11493 #>  [20385]  99.89995  99.67447 100.28958 100.21976  99.89995  99.76973 100.48383 #>  [20392] 100.03499  99.57409 100.13491  99.91496 100.24470 100.72239  99.80982 #>  [20399]  99.96499 100.67770 100.33942 100.00000 100.09495  99.68450 100.21477 #>  [20406] 100.31451  99.43842 100.07997 100.15987  99.74969 100.13990  99.87492 #>  [20413] 100.15488  99.97000 100.27961  99.98500 100.49378 100.43406 100.04999 #>  [20420] 100.40418  99.89494 100.02000 100.61312 100.30952  99.90495 100.29457 #>  [20427] 100.43904  99.82485  99.60422 100.32946 100.51368 100.19481 100.13990 #>  [20434]  99.94999 100.04499 100.61312  99.84488  99.84989  99.82485  99.78477 #>  [20441] 100.36434 100.40418  99.81984 100.03999 100.26465 100.37928  99.93998 #>  [20448]  99.82485 100.27961 100.07497  99.44345 100.02500  99.72963  99.95499 #>  [20455] 100.06998 100.40916 100.06498 100.62306  99.92497 100.20978 100.59324 #>  [20462] 100.58330  99.68450 100.28958  99.97000 100.60318 100.16486 100.05498 #>  [20469] 100.41414  99.99500  99.38813 100.03999 100.25468  99.90996 100.34939 #>  [20476] 100.05498 100.24969  99.78477  99.41328 100.12992  99.68450 100.48881 #>  [20483]  99.83486  99.76472 100.23971  99.65440 100.29955  99.52387 100.12992 #>  [20490] 100.10994  99.92497 100.14989  99.94999  99.48869  99.89494  99.85489 #>  [20497] 100.25468  99.85489 100.49876 100.22974 100.08496  99.72462 100.29457 #>  [20504] 100.65784 100.10994 100.28460 100.12992  99.92497  99.93498 100.04499 #>  [20511] 100.33444  99.61928 100.36434  99.90996 100.02000  99.71961  99.86992 #>  [20518]  99.94498 100.63797  99.45351  99.67447  99.57409 100.36932  99.94999 #>  [20525] 100.04499 100.67770  99.84488  99.97000 100.20479 100.20978 100.39422 #>  [20532]  99.84989  99.78978 100.13491  99.78477  99.90495 100.37430 100.04999 #>  [20539]  99.99000  99.95999  99.97000 100.18982 100.10994  99.82485  99.69955 #>  [20546]  99.84488 100.17485  99.65942 100.03999 100.40418  99.79479  99.32774 #>  [20553] 100.08496  99.61426  99.99000  99.90996  99.94999 100.61312  99.92497 #>  [20560] 100.73232  99.86491 100.16986  99.94498  99.63433 100.37430  99.84488 #>  [20567] 100.13491  99.51884  99.95499  99.77475  99.83486  99.73465  99.60422 #>  [20574]  99.41831  99.94999 100.14989  99.74969  99.55401  99.93998  99.67447 #>  [20581]  99.62931  99.91997  99.84989 100.03499  99.80481 100.08996  99.83486 #>  [20588] 100.50871 100.15488 100.03999 100.02500  99.88493  99.18165  99.92998 #>  [20595]  99.67447  99.46356 100.08996 100.28460  99.97500  99.81984  99.84488 #>  [20602]  99.64437 100.29955 100.41414  99.89995 100.20978  99.98500  99.72462 #>  [20609] 100.06998  99.58414  99.91997  99.20685  99.87993 100.12492  99.59418 #>  [20616]  99.83486  99.86491  99.93998 100.37430 100.14490  99.65942 100.57833 #>  [20623] 100.16486 100.12992  99.80982  99.78978  99.85489  99.74467 100.39422 #>  [20630] 100.26964 100.19980 100.02500  99.93498 100.17984  99.64939 100.22475 #>  [20637]  99.78477 100.22475 100.35935 100.03499  99.33781 100.03000  99.95499 #>  [20644] 100.12992 100.50373 100.24470 100.34441  99.59418 100.38426 100.02000 #>  [20651]  99.51884 100.14989  99.90495 100.55347  99.69955 100.17485 100.30454 #>  [20658] 100.62803  99.83987  99.86491  99.93998  99.68450 100.07497  99.92998 #>  [20665] 100.03499 100.20479  99.82485 100.65287 100.19481 100.01500  99.98000 #>  [20672] 100.37430 100.35935  99.51884 100.44401 100.72735 100.24470  99.32774 #>  [20679] 100.31451 100.32946  99.95999 100.13990 100.17485  99.50879 100.17485 #>  [20686] 100.21976  99.84989  99.80481  99.39819 100.29955 100.04499  99.84989 #>  [20693]  99.73966 100.03499  99.91997 100.08496 100.33942 100.25468  99.97500 #>  [20700]  99.79479 100.15488  99.99000 100.07997  99.35794  99.95499  99.58414 #>  [20707] 100.15987  99.85990 100.10494 100.18982 100.20978  99.86992 100.22475 #>  [20714] 100.25966 100.01500  99.99500  99.73465 100.15488  99.54898  99.77976 #>  [20721]  99.80982 100.45895 100.16486 100.19481  99.60924 100.34939  99.98500 #>  [20728] 100.03999  99.76472 100.63797 100.06498 100.11493 100.10994 100.02000 #>  [20735]  99.81483 100.45895  99.86491  99.95499 100.41414  99.61426 100.03000 #>  [20742] 100.03000  99.64437 100.09495 100.10994  99.94999  99.93998  99.58916 #>  [20749] 100.07997 100.07497 100.27961 100.22974  99.53391 100.27961  99.68952 #>  [20756]  99.55903 100.09495  99.95999  99.65942  99.75470 100.05998 100.11993 #>  [20763]  99.86491 100.59324  99.95499  99.99000 100.04499 100.03499 100.36434 #>  [20770]  99.82986  99.93998  99.70456 100.47885 100.49378  99.72963 100.04499 #>  [20777] 100.07497 100.39422  99.47864  99.66945  99.58916 100.18982 100.13491 #>  [20784] 100.02500 100.46890 100.30454  99.57409 100.04999  99.86491 100.52363 #>  [20791] 100.50871 100.45397  99.89494  99.83987 100.22475 100.48383 100.67770 #>  [20798] 100.65287  99.91997  99.85990  99.55903  99.91997  99.86992  99.84989 #>  [20805] 100.18483 100.09995 100.24470  99.56405  99.93498  99.86491  99.44848 #>  [20812] 100.16486 100.34939 100.30952 100.49876  99.99500  99.88493  99.79980 #>  [20819]  99.69955  99.81483 100.07497  99.89995 100.23472  99.92998  99.51382 #>  [20826] 100.16986 100.08996 100.11493 100.19481 100.04999 100.00000 100.17984 #>  [20833]  99.95499 100.46392 100.37430  99.90495  99.72963  99.72462 100.04999 #>  [20840]  99.83486  99.98000 100.20978 100.00000  99.89494  99.93998  99.68952 #>  [20847] 100.16486  99.81984  99.69453 100.03999  99.67949 100.07997 100.18483 #>  [20854] 100.49378 100.30454  99.72462  99.73465 100.37430  99.63935  99.96499 #>  [20861]  99.58916 100.19980 100.05998 100.53855  99.72963 100.32946 100.43406 #>  [20868]  99.56405  99.62429 100.12492 100.54850  99.64437 100.32447  99.97000 #>  [20875]  99.70456  99.35291 100.19980  99.58916  99.83486  99.72462  99.98500 #>  [20882] 100.54850  99.98500  99.59920  99.69453  99.30760 100.07997 100.27462 #>  [20889]  99.85489 100.24969 100.16486  99.95499  99.84488 100.49378 100.05998 #>  [20896] 100.29955  99.53894  99.99500  99.70456 100.35935 100.31451 100.39920 #>  [20903]  99.84488 100.00000 100.18982 100.24969 100.09495  99.93998 100.42410 #>  [20910] 100.53855  99.67949  99.66945  99.31767  99.98500  99.81984  99.88493 #>  [20917]  99.50377  99.51382 100.52363 100.36434 100.35935  99.82986  99.97500 #>  [20924]  99.91997 100.24969 100.13990 100.08996  99.90996  99.62429  99.86491 #>  [20931] 100.36932 100.12992  99.95999  99.97500  99.88493 100.05998  99.95499 #>  [20938]  99.73966  99.73465  99.85990  99.72963  99.92497  99.62931  99.74969 #>  [20945] 100.57336 100.36434 100.03499  99.56907 100.51865  99.53894  99.96499 #>  [20952] 100.42410  99.69453  99.71961  99.97000 100.31451 100.26465 100.02500 #>  [20959] 100.05998 100.49378 100.20978  99.75470 100.04999 100.19481 100.03999 #>  [20966]  99.71961  99.78978  99.91496 100.53855  99.97500  99.72963  99.84488 #>  [20973] 100.28460 100.06498 100.37430 100.14989  99.61928 100.68267  99.84488 #>  [20980]  99.84989  99.71459  99.97000 100.58330  99.78978  99.77475  99.87993 #>  [20987] 100.28460 100.25966  99.70456  99.71459 100.02000  99.80982 100.20479 #>  [20994] 100.44899 100.07997 100.28958  99.78477 100.06998 100.16986  99.68450 #>  [21001]  99.88493  99.97000  99.98500  99.51884  99.89995 100.31451  99.40322 #>  [21008]  99.94999 100.04499  99.39819 100.47388  99.87993  99.35291  99.85489 #>  [21015]  99.70456  99.54396  99.92497 100.15488  99.96499 100.60815  99.77475 #>  [21022] 100.65784  99.68952  99.91997  99.97500 100.38924  99.83987  99.92998 #>  [21029]  99.51382 100.16486 100.13990 100.14490 100.27462  99.82485 100.07497 #>  [21036] 100.19481 100.43406 100.59821  99.92998 100.38426 100.55347  99.22197 #>  [21043]  99.82986  99.71459 100.64293 100.05998  99.46859 100.14989  99.90495 #>  [21050]  99.79479 100.41414 100.06498 100.08496  99.86992  99.80481 100.03999 #>  [21057] 100.15488 100.08496 100.09495  99.86491 100.02500 100.11493  99.83987 #>  [21064]  99.70456 100.28460 100.06498 100.73728 100.25966  99.62931 100.27961 #>  [21071]  99.93998 100.02500 100.16986  99.86992 100.03499 100.49378  99.58414 #>  [21078] 100.13990 100.26465  99.92998 100.18982 100.46392 100.13491  99.78477 #>  [21085] 100.46392 100.04499  99.39316  99.66444  99.70456 100.20978  99.86491 #>  [21092]  99.98000 100.24969  99.70958  99.66444 100.11993 100.21477  99.90996 #>  [21099]  99.76973 100.23971 100.21976  99.70958  99.63935 100.14989  99.95999 #>  [21106]  99.68450 100.42410  99.59418  99.51382  99.68952  99.90996  99.79980 #>  [21113]  99.89995  99.55903 100.36932 100.02500 100.10494 100.19481  99.87492 #>  [21120]  99.89995 100.37430 100.09495 100.05498  99.63935 100.31451 100.15488 #>  [21127]  99.61928 100.08996  99.70456 100.34441  99.99000  99.90495 100.25468 #>  [21134] 100.09495 100.68267  99.79479  99.75470 100.17984  99.75971 100.25966 #>  [21141] 100.10994 100.11493  99.65942  99.80481 100.10994 100.24969  99.86491 #>  [21148] 100.31451 100.07497 100.01500  99.88994  99.87993 100.14490 100.14490 #>  [21155]  99.70958  99.88493 100.44401  99.57409 100.39422  99.95499 100.03499 #>  [21162] 100.03999 100.10494 100.41912  99.46859 100.13990 100.30454  99.30760 #>  [21169] 100.00500  99.88994 100.41912 100.50871  99.99500  99.96499  99.64437 #>  [21176] 100.48881  99.66945  99.52387  99.99000 100.22974  99.67949 100.26964 #>  [21183]  99.65942 100.07997 100.46890 100.47388  99.67447 100.30952  99.56907 #>  [21190] 100.08996  99.97000  99.54898 100.40916 100.19980  99.68450 100.13491 #>  [21197] 100.07497  99.47361 100.31451  99.87993  99.98500  99.61928  99.86491 #>  [21204]  99.82986 100.03999 100.21976  99.72462 100.07497  99.96499  99.45853 #>  [21211]  99.59920 100.53855  99.81984 100.18982 100.66777  99.56907 100.37430 #>  [21218] 100.20978  99.95499  99.69955  99.92497  99.84989  99.71961 100.14490 #>  [21225] 100.30454  99.71961  99.75470 100.18483 100.11993 100.20479  99.89995 #>  [21232]  99.49874  99.87492 100.07997 100.16486 100.28460 100.39920 100.09495 #>  [21239] 100.26465 100.03000  99.50377  99.76973 100.36434  99.79980  99.65942 #>  [21246] 100.25966  99.70456  99.85489 100.03499 100.13491 100.05998  99.72462 #>  [21253] 100.13990  99.50879 100.26964 100.45895 100.08496  99.90495  99.84488 #>  [21260] 100.26964  99.97500 100.12992 100.06998  99.71459 100.27961  99.68450 #>  [21267]  99.69955  99.85489 100.22475  99.62931 100.12492 100.10494  99.83486 #>  [21274] 100.09995 100.36434 100.48881  99.80982  99.75470  99.65942 100.06498 #>  [21281]  99.97000 100.11993 100.04999 100.27961 100.57336 100.50373  99.73465 #>  [21288]  99.93998  99.86491 100.31949  99.46356  99.82485 100.22974 100.23971 #>  [21295]  99.70958 100.44401 100.19481 100.36932 100.01000  99.92998  99.49874 #>  [21302] 100.13990 100.25966 100.09495  99.86491 100.26465  99.83486 100.36434 #>  [21309] 100.08496  99.58916  99.63433 100.04499 100.08996  99.46356 100.37430 #>  [21316] 100.00500 100.03000 100.14989  99.70456  99.69453 100.47388 100.09495 #>  [21323]  99.98500 100.26465 100.31451  99.58916  99.87492  99.75470  99.94498 #>  [21330]  99.73966  99.67447 100.58827 100.40418 100.09495  99.91496  99.97500 #>  [21337] 100.05998 100.29457  99.29250  99.97500  99.75470  99.99000 100.00500 #>  [21344] 100.32946  99.54396 100.10994  99.73966 100.19980 100.53855 100.20978 #>  [21351]  99.94999 100.24470 100.51865 100.11993 100.05498 100.12492 100.25966 #>  [21358]  99.83486  99.86491  99.76973 100.23472 100.03000  99.71459  99.69453 #>  [21365]  99.94999 100.18483  99.98000 100.36932 100.56838 100.16986 100.23472 #>  [21372] 100.31451 100.08496 100.13491 100.27961  99.98500  99.77976 100.35935 #>  [21379]  99.89494  99.73966  99.98000 100.35935 100.24470 100.23472 100.09995 #>  [21386] 100.58330  99.55903  99.37303  99.20181 100.19481  99.49874 100.14490 #>  [21393] 100.38426 100.37430  99.84989 100.08496 100.41912  99.97000 100.31451 #>  [21400]  99.85489 100.24969 100.00500 100.20978 100.29955  99.87492 100.06998 #>  [21407]  99.93998  99.87492  99.94498 100.10994  99.89494  99.91997  99.78477 #>  [21414]  99.95499 100.44899  99.77475 100.19481 100.23472 100.41414 100.05498 #>  [21421] 100.40418  99.76472  99.96499 100.21976  99.93498 100.10994  99.82485 #>  [21428] 100.27462 100.01500 100.20479 100.29955  99.87492 100.00500  99.98500 #>  [21435]  99.75971  99.88994  99.79479 100.21976 100.25966 100.57336  99.84488 #>  [21442] 100.43904  99.92497 100.01000  99.70456 100.71246  99.78978  99.89995 #>  [21449] 100.13990  99.85489 100.30952 100.01000  99.90996 100.12492  99.72963 #>  [21456] 100.16486 100.40418  99.64437 100.10994  99.53894 100.17984  99.66945 #>  [21463]  99.85990  99.59418 100.41414 100.29457 100.30454  99.84989  99.77976 #>  [21470] 100.39422  99.83987  99.41831 100.14490 100.34441 100.15987  99.85990 #>  [21477] 100.20978  99.95999  99.76973 100.67770 100.31451 100.25966 100.20479 #>  [21484]  99.43339  99.87492 100.03000  99.63433  99.82986  99.98500  99.87492 #>  [21491] 100.03999  99.84488  99.87492 100.35935 100.16986  99.65440  99.55401 #>  [21498] 100.03999  99.67949 100.27961 100.12492 100.46890 100.06498 100.09495 #>  [21505] 100.27462  99.74467  99.85489  99.91496 100.26964 100.03999 100.57336 #>  [21512] 100.00500  99.93498  99.32271  99.76472  99.83486  99.99500 100.15987 #>  [21519] 100.02500  99.42837  99.51884  99.83486 100.18982 100.03999  99.72963 #>  [21526] 100.65287 100.00500  99.85990  99.99500 100.30454 100.59821  99.40322 #>  [21533] 100.32946  99.92998  99.91496  99.75470  99.82986  99.77976 100.37430 #>  [21540] 100.04499  99.61928 100.20479 100.35437  99.62931 100.27462  99.41328 #>  [21547]  99.78477 100.36434 100.61809 100.27961  99.81984 100.26465 100.07497 #>  [21554]  99.98000 100.11993 100.05498 100.31949  99.75470  99.95499  99.68450 #>  [21561]  99.72462  99.79980 100.10494  99.97500  99.71961  99.76472  99.84488 #>  [21568]  99.66945 100.17485  99.47361 100.03000 100.28958  99.44848  99.30257 #>  [21575] 100.48383 100.20978  99.66444 100.54850 100.34939  99.42837  99.80481 #>  [21582] 100.12492 100.18483  99.90495 100.11493 100.20978  99.67949  99.85489 #>  [21589] 100.07497  99.66945  99.78978 100.46392  99.82986 100.05998 100.15488 #>  [21596]  99.67447 100.40418  99.79980 100.50871 100.05498 100.41912 100.68764 #>  [21603] 100.02500 100.10994  99.81483  99.54898  99.75470  99.44345 100.24470 #>  [21610]  99.97000  99.91997  99.63433 100.32946 100.45895 100.28958 100.44899 #>  [21617] 100.05998 100.50871 100.10494  99.62429  99.64437  99.60422  99.62429 #>  [21624] 100.16986 100.10494  99.52387  99.70456 100.10494 100.20978 100.10994 #>  [21631]  99.62429 100.57336 100.16986  99.78477  99.66444  99.83486 100.02500 #>  [21638] 100.21976 100.08496 100.03499  99.48367  99.32271  99.80481  99.79479 #>  [21645] 100.05998  99.59920 100.38924 100.19481 100.32447  99.89494 100.12992 #>  [21652]  99.86992  99.82986 100.28958  99.33277  99.95999  99.91496  99.99500 #>  [21659] 100.36434  99.86992  99.93498 100.22475  99.87492  99.80982  99.95499 #>  [21666] 100.11993  99.94498  99.79479  99.81984  99.81483  99.45351 100.62803 #>  [21673] 100.02000  99.64939  99.78978 100.11493 100.50373 100.16486 100.14989 #>  [21680]  99.89494 100.00000 100.23971 100.33444 100.03999  99.45853  99.31767 #>  [21687]  99.47361 100.09995  99.66945  99.86992 100.58330 100.22475  99.64939 #>  [21694]  99.97000 100.24969  99.89494 100.04499  99.30257 100.32447  99.56405 #>  [21701]  99.82485 100.23971  99.78477  99.95499 100.03499  99.94498  99.88994 #>  [21708] 100.00500  99.84989 100.51865 100.03000 100.38924  99.70958 100.18982 #>  [21715] 100.13491  99.65942  99.72963  99.89995 100.27462  99.58414  99.68952 #>  [21722] 100.13990  99.74467  99.97000 100.21976  99.54396  99.60422  99.99500 #>  [21729] 100.15987  99.60924 100.36434 100.45895  99.64939  99.95499  99.78978 #>  [21736]  99.77976 100.16986  99.45351  99.89494  99.83486  99.93998  99.71961 #>  [21743]  99.52387  99.96499  99.84989 100.14490  99.92998  99.81483 100.09995 #>  [21750] 100.10494  99.79980 100.02500  99.75470 100.19481  99.78978  99.85489 #>  [21757] 100.18982 100.03999  99.91997 100.16986 100.05998 100.26964  99.79479 #>  [21764] 100.05998 100.07997  99.91496  99.89494 100.27462 100.06498  99.94498 #>  [21771]  99.91997 100.26964  99.83486  99.88994  99.99000  99.84989 100.08996 #>  [21778]  99.86491  99.70456  99.77976 100.50871 100.09495 100.11993  99.78477 #>  [21785] 100.49876 100.11493 100.11993  99.96499  99.24213 100.19980  99.96499 #>  [21792] 100.29457 100.62803 100.42410  99.27235  99.83486  99.86992  99.91997 #>  [21799] 100.46890  99.99000  99.82986 100.30454 100.23971 100.17984  99.90996 #>  [21806]  99.88994  99.93998  99.92998 100.43904  99.34284  99.95499  99.97500 #>  [21813] 100.21976  99.80982 100.11993 100.35437 100.07497  99.82485 100.03499 #>  [21820] 100.25468 100.42410 100.14490 100.16486 100.06498  99.46356 100.14989 #>  [21827] 100.20479 100.10994  99.85489 100.29457  99.92998 100.15987 100.18483 #>  [21834] 100.24969  99.89995 100.36434 100.05498  99.69955 100.24470  99.55401 #>  [21841]  99.69453 100.40916 100.12992 100.03000  99.79980  99.68450 100.31451 #>  [21848] 100.27462  99.76973 100.36932 100.06998 100.42410 100.00500  99.91997 #>  [21855] 100.17485 100.00000 100.25966  99.78978  99.82485 100.26964  99.37303 #>  [21862]  99.78978  99.64437 100.41912 100.05998  99.86491 100.13491  99.51884 #>  [21869] 100.33444 100.19980  99.48367 100.20479 100.74721  99.94999  99.90996 #>  [21876] 100.08496  99.79980 100.42908  99.45853  99.94498  99.88493 100.12992 #>  [21883] 100.32946  99.78477 100.18483 100.22974 100.11993  99.85489  99.54396 #>  [21890]  99.50377  99.54396 100.44401 100.03000  99.76472  99.48869  99.84488 #>  [21897] 100.06498 100.15488  99.82986  99.92497  99.77976  99.47361  99.93498 #>  [21904] 100.16486 100.04999 100.05998 100.51865  99.97000 100.02500 100.24470 #>  [21911] 100.34441 100.24969 100.21477 100.13491 100.29955 100.30952  99.68450 #>  [21918] 100.24969  99.97000 100.00500 100.54352  99.88493 100.37928 100.19481 #>  [21925]  99.92497 100.39920  99.61426  99.86992 100.21976  99.48869  99.51382 #>  [21932]  99.85990  99.46356 100.10994 100.22475 100.08496  99.50377  99.71961 #>  [21939] 100.38924 100.05498  99.42837  99.85990  99.76472  99.60422 100.44401 #>  [21946] 100.50871 100.03000  99.49874 100.18982 100.47388  99.80481  99.78477 #>  [21953]  99.84488 100.16486 100.39422 100.20978  99.89995 100.30952 100.42410 #>  [21960]  99.96499  99.87492 100.16986  99.64939 100.57336 100.19980  99.82986 #>  [21967] 100.46392 100.49378  99.36297 100.28460  99.95499 100.53855 100.35437 #>  [21974]  99.83486  99.96499  99.97500 100.06998 100.10494  99.76472 100.50871 #>  [21981] 100.73728 100.24470  99.86491 100.44401  99.53391  99.55401 100.38426 #>  [21988]  99.73465 100.13990  99.91496  99.85489 100.17485  99.88493 100.25468 #>  [21995]  99.50879 100.31451  99.70456  99.73465  99.92497  99.52387 100.21976 #>  [22002] 100.34939 100.09995 100.12492 100.17485 100.42908 100.47388 100.01500 #>  [22009]  99.96499 100.48881  99.93998  99.71961 100.28958 100.02000  99.59920 #>  [22016]  99.92998 100.06498  99.74467 100.34939  99.84989 100.09995  99.63433 #>  [22023] 100.34939 100.22475 100.41414 100.49876  99.81984 100.06998  99.65440 #>  [22030] 100.52363 100.67274  99.91997 100.02000 100.05998 100.33444 100.51368 #>  [22037]  99.75470  99.90996 100.44899 100.00000  99.44345  99.72963 100.35437 #>  [22044] 100.12992  99.99500  99.93998 100.41912 100.35437 100.16486 100.00500 #>  [22051] 100.79186  99.91496  99.82485 100.07497  99.57911 100.14490  99.94999 #>  [22058]  99.62429 100.12992  99.40322  99.59418  99.71459  99.94999 100.22974 #>  [22065] 100.02500  99.81483 100.01500  99.98500  99.72462 100.12492  99.85489 #>  [22072]  99.89995  99.72462 100.28958 100.41414 100.14490  99.77976 100.37928 #>  [22079] 100.29457 100.54352  99.86491  99.95999  99.84989 100.71246  99.98000 #>  [22086]  99.72963  99.54396 100.52860 100.21976 100.48383  99.83987  99.55903 #>  [22093] 100.38924 100.20978  99.94498  99.93998 100.35935 100.01500 100.01500 #>  [22100]  99.82986  99.90495 100.05498 100.65287 100.25468 100.52860  99.91997 #>  [22107]  99.76973 100.06998 100.21477  99.72963 100.63300  99.78477  99.99000 #>  [22114] 100.17485 100.10994  99.96499 100.11493  99.33781  99.56907  99.96499 #>  [22121]  99.90495  99.74969 100.15987 100.33942 100.07997 100.03999 100.03000 #>  [22128] 100.16486  99.48869 100.44401  99.47361 100.36434 100.14989  99.98000 #>  [22135]  99.96499  99.72963  99.78978  99.78978 100.09995  99.40825  99.58916 #>  [22142]  99.82986  99.98500 100.38426  99.67949 100.24470 100.09995  99.80982 #>  [22149] 100.40916 100.06498 100.39920  99.70456 100.25468 100.27462  99.75470 #>  [22156] 100.10494  99.94498  99.87492 100.04499  99.97500  99.90996 100.08996 #>  [22163]  99.67447  99.38813 100.48881  99.83987  99.64437  99.93998  99.76472 #>  [22170] 100.05998  99.88493 100.13990  99.77976  99.44345 100.12492 100.21477 #>  [22177] 100.18982 100.06998 100.01500 100.39920  99.67949  99.97500 100.43904 #>  [22184] 100.61312  99.79479  99.88493  99.95999 100.46890 100.16986  99.91496 #>  [22191]  99.40825  99.52889 100.08996 100.10994  99.70456 100.04499  99.91496 #>  [22198]  99.69955 100.01000 100.24969 100.45895 100.05498 100.11993  99.45853 #>  [22205] 100.03499  99.52889 100.03999 100.40916  99.65942 100.35935  99.72963 #>  [22212]  99.71459 100.17984  99.66444  99.81984 100.02000 100.04999 100.26964 #>  [22219] 100.64790 100.19980 100.05498 100.01500 100.19481  99.98500 100.04499 #>  [22226]  99.84488 100.26964 100.34441  99.83987 100.42410  99.66945 100.09495 #>  [22233]  99.52387 100.22475  99.59920  99.89995 100.01500 100.03499 100.19481 #>  [22240]  99.86491 100.54352  99.65942  99.83987 100.16986 100.43406  99.95999 #>  [22247]  99.87993 100.54850  99.80481  99.86491 100.47885 100.44899 100.53855 #>  [22254] 100.05998  99.84989 100.18982 100.08496  99.86491 100.38426 100.36434 #>  [22261] 100.52363  99.90996  99.99500 100.29457 100.30454 100.06498  99.72462 #>  [22268]  99.92998 100.23971 100.15987  99.50377 100.38924 100.01000  99.78978 #>  [22275] 100.34939  99.83486 100.33942 100.22974 100.10494 100.11993 100.01500 #>  [22282] 100.51865 100.28460  99.70456  99.40825  99.85489  99.88493 100.23971 #>  [22289]  99.89494  99.42837 100.28958 100.05498 100.00500 100.36434  99.87492 #>  [22296] 100.19980 100.09495  99.65942  99.79980 100.63797 100.37430  99.92998 #>  [22303]  99.79980  99.77475  99.77976 100.10994  99.99500  99.48869  99.80982 #>  [22310]  99.89494 100.10994 100.19481 100.23971 100.12492 100.30952 100.01500 #>  [22317]  99.75971  99.95499  99.86992 100.12992 100.42410 100.17984 100.15488 #>  [22324]  99.98500  99.50879 100.05498  99.83987  99.72963  99.27739  99.76472 #>  [22331]  99.68450  99.88493 100.44401  99.72963  99.97500 100.25966 100.00500 #>  [22338] 100.39422  99.41831  99.83987  99.85489  99.71459 100.11993  99.21693 #>  [22345]  99.34284  99.52889  99.80481  99.76472  99.80481 100.12492 100.10994 #>  [22352]  99.65440 100.43904  99.95499 100.07497  99.46859  99.63935 100.19980 #>  [22359]  99.79479  99.80481 100.42410  99.85990 100.38924  99.95999  99.79980 #>  [22366] 100.22974  99.34284 100.36932  99.80481  99.90495 100.11993 100.26465 #>  [22373]  99.75971  99.99000  99.99000 100.27462 100.07497 100.20978 100.02000 #>  [22380] 100.76210  99.73465 100.05498  99.72462 100.03000 100.20978 100.04999 #>  [22387] 100.04499  99.71459  99.97000 100.04999 100.12992 100.54850 100.19481 #>  [22394] 100.39920 100.20978  99.99500  99.89995 100.16486 100.14989 100.19481 #>  [22401] 100.56838  99.75971 100.10994  99.76973 100.16986 100.56341 100.13990 #>  [22408] 100.16486  99.83987  99.84488 100.40916 100.14989 100.18982  99.82485 #>  [22415] 100.01500  99.60422  99.74467 100.15987 100.10994 100.22974  99.86992 #>  [22422]  99.92497  99.76472 100.02500  99.88994 100.04999 100.61809  99.78978 #>  [22429] 100.32447  99.87492 100.43406 100.12992 100.38924  99.89995  99.88994 #>  [22436]  99.84989  99.96499  99.71459 100.13491  99.90495  99.34787 100.30454 #>  [22443] 100.32447  99.63433 100.19980  99.72462  99.99500 100.32946  99.83486 #>  [22450]  99.84989 100.19980 100.28460  99.92497  99.99000 100.53855 100.23472 #>  [22457] 100.28460  99.55903  99.96499 100.11493 100.04999  99.86992 100.15488 #>  [22464] 100.17984 100.23472  99.97000 100.32946  99.81984  99.54396  99.91496 #>  [22471] 100.00000 100.11493  99.98500 100.25966  99.94498 100.16986  99.99000 #>  [22478]  99.56907 100.66777 100.08996  99.92998 100.65287  99.95999  99.83987 #>  [22485]  99.73465 100.34939 100.42410 100.34939 100.32946 100.53358  99.50377 #>  [22492]  99.77475 100.02500 100.49378 100.16986  99.75971  99.74969  99.52387 #>  [22499] 100.08496 100.15987 100.13990  99.62931 100.07997  99.87492 100.08496 #>  [22506] 100.21477 100.15987  99.86992  99.86992 100.46392 100.33444  99.71459 #>  [22513] 100.24969  99.67447  99.86491  99.98000  99.88994  99.97500 100.70253 #>  [22520] 100.02500  99.79980 100.02000  99.88994 100.15488 100.10494  99.79479 #>  [22527] 100.01000 100.17485  99.95999  99.85489 100.15987 100.16486 100.12492 #>  [22534] 100.54850  99.87492  99.66444  99.50377  99.55903 100.29457 100.38426 #>  [22541]  99.93998  99.50377 100.32946  99.98500  99.40322 100.37928  99.95999 #>  [22548]  99.65440  99.89494  99.78978  99.87492 100.05998 100.12492 100.54352 #>  [22555]  99.99500  99.86491 100.29955  99.79980  99.92998  99.96499  99.71961 #>  [22562] 100.05498 100.13990  99.55401 100.08496  99.71459  99.82485 100.04999 #>  [22569]  99.47864 100.03999  99.94498  99.75971  99.92998  99.78477  99.86992 #>  [22576]  99.97500  99.76472  99.68450  99.64939  99.71459 100.18483 100.21976 #>  [22583] 100.04999 100.49378 100.17984 100.47885  99.92998 100.56838 100.54352 #>  [22590] 100.00500 100.37928 100.01000  99.79479 100.46392 100.15488  99.81984 #>  [22597] 100.23472 100.10994  99.80481 100.18483 100.45895  99.36800  99.90996 #>  [22604] 100.20479 100.20479  99.99500 100.01000  99.59920  99.86992 100.30454 #>  [22611]  99.57911 100.30952 100.08496  99.80982  99.77475  99.61426 100.28460 #>  [22618]  99.77475 100.23971 100.03000 100.42908  99.90996 100.50373  99.68450 #>  [22625] 100.11493  99.75470 100.19980 100.02500  99.71961 100.29955 100.34441 #>  [22632]  99.97000 100.19481 100.55347  99.70958 100.09995  99.72963  99.58414 #>  [22639]  99.78978 100.32946 100.44899 100.23472 100.02000  99.88493 100.23472 #>  [22646] 100.00500 100.04499 100.00500  99.86992  99.88994  99.53391 100.44899 #>  [22653] 100.15488 100.05998 100.14989 100.18982  99.71961 100.03499  99.89494 #>  [22660] 100.32447 100.19481  99.88493 100.03999 100.24969  99.72963 100.05998 #>  [22667] 100.16486 100.46890  99.70958 100.36434  99.81984  99.71459 100.28460 #>  [22674] 100.51368 100.00000 100.04499 100.25966 100.09995  99.94498 100.26964 #>  [22681]  99.31767  99.87492  99.64437 100.29955 100.45397  99.89494  99.81984 #>  [22688]  99.70958 100.56838 100.49876 100.10994 100.25468 100.16486  99.63433 #>  [22695]  99.62931  99.74467  99.93498  99.49874  99.94999 100.35935 100.40916 #>  [22702] 100.10994 100.12992 100.22475  99.55401  99.73465  99.67949  99.66945 #>  [22709]  99.62931  99.49874 100.04999  99.72963 100.32946  99.92497 100.27961 #>  [22716] 100.79683 100.58330  99.73465  99.79479  99.93498  99.70958 100.05498 #>  [22723]  99.95999  99.95999  99.87993  99.95499  99.91496 100.03499 100.08996 #>  [22730] 100.72239  99.74969 100.02500 100.11493  99.43339 100.49876  99.85489 #>  [22737] 100.51368  99.49372 100.37430 100.03000  99.84989 100.40916  99.20181 #>  [22744] 100.10994 100.50373 100.05998 100.24470 100.49876 100.22475  99.92998 #>  [22751]  99.45853  99.86992  99.81984 100.25468 100.14989  99.66945 100.26964 #>  [22758]  99.79980 100.32447 100.35935  99.87492 100.33942 100.02000 100.18483 #>  [22765] 100.10494 100.17984  99.97500  99.69955 100.14490  99.65942 100.43406 #>  [22772] 100.15987  99.95999 100.27961  99.98000  99.95499 100.20479  99.88994 #>  [22779] 100.22974 100.02500  99.72462 100.08996  99.82485 100.07997 100.33942 #>  [22786]  99.61928  99.93998  99.81483 100.20978 100.33942  99.98500  99.99500 #>  [22793] 100.31949  99.88994 100.63797  99.97000  99.92497  99.90495  99.87993 #>  [22800] 100.32447  99.57911  99.99500 100.39920  99.09591  99.42334  99.62931 #>  [22807]  99.77475  99.76973 100.13990 100.01000  99.75971  99.93998  99.69453 #>  [22814]  99.51884 100.05998 100.08496  99.42837 100.24470  99.63433  99.66945 #>  [22821] 100.07997  99.76472 100.16486 100.63300 100.33942 100.09995 100.27961 #>  [22828] 100.05998  99.56405 100.32946 100.11993 100.19481 100.46890  99.96499 #>  [22835] 100.27961  99.78477 100.05998  99.56907 100.16486 100.24470 100.27462 #>  [22842]  99.69955 100.40916  99.82485 100.19980  99.44848 100.00000  99.82485 #>  [22849] 100.37928  99.74467  99.93998 100.01500  99.88994  99.64437  99.88493 #>  [22856]  99.95999  99.76973 100.27462 100.06498  99.73465 100.50373 100.13491 #>  [22863] 100.11993  99.71961 100.01000  99.97500 100.12492  99.83987  99.91997 #>  [22870]  99.89995  99.35794  99.98500 100.00000  99.96499  99.50879 100.27462 #>  [22877]  99.79980 100.47388 100.13990 100.16986  99.53391 100.40418  99.97500 #>  [22884]  99.48367  99.67447  99.78978 100.03000 100.31949 100.65287 100.04999 #>  [22891] 100.06498  99.46859 100.29457 100.10994  99.57409 100.48881 100.35935 #>  [22898] 100.37430 100.36434 100.45895  99.74467  99.66945  99.65942 100.17984 #>  [22905]  99.17661 100.30454  99.89494  99.91997 100.72735  99.90495 100.23472 #>  [22912] 100.15488  99.96499 100.04499 100.15987 100.18483  99.67447  99.48367 #>  [22919] 100.32946 100.22974 100.04499 100.01000 100.03499  99.80982 100.00500 #>  [22926] 100.11493 100.05498 100.24470 100.10494 100.49876 100.10994  99.47361 #>  [22933]  99.91496  99.56405 100.18483  99.66444  99.84989 100.07497 100.09495 #>  [22940] 100.05998 100.49876  99.63935  99.76973 100.19481  99.84488 100.45397 #>  [22947] 100.08996  99.85990 100.10494 100.11493  99.83987  99.61426  99.97000 #>  [22954]  99.70958 100.38924  99.97500 100.04499  99.76973 100.04499  99.86992 #>  [22961] 100.22974 100.05498 100.09495  99.90996  99.84488  99.68952 100.31949 #>  [22968]  99.72462  99.90996  99.87993 100.46392  99.72462  99.96499  99.72963 #>  [22975]  99.80481 100.55347  99.79479 100.24470  99.74467 100.13491  99.69955 #>  [22982]  99.62429  99.67447  99.97000 100.07997 100.47388  99.96499 100.18483 #>  [22989]  99.55903  99.70958  99.88994  99.98000 100.20978 100.14490  99.70456 #>  [22996] 100.25468  99.93498 100.28460  99.78477  99.75470 100.28460 100.05998 #>  [23003]  99.58414 100.77202  99.32774  99.97500  99.48367 100.39920 100.15488 #>  [23010]  99.67949  99.85489  99.93998  99.56405 100.12992  99.68450 100.11493 #>  [23017]  99.87993 100.16486  99.88994 100.36434 100.04999 100.16986 100.03000 #>  [23024] 100.18982 100.31949  99.37303 100.18982  99.77475 100.28958  99.63935 #>  [23031] 100.43904  99.79479 100.18982  99.77976  99.64939 100.12992 100.34939 #>  [23038]  99.60924  99.87492  99.96499 100.11993 100.03999 100.13491 100.02500 #>  [23045] 100.09495  99.85990 100.16986 100.02500  99.40322 100.07497  99.43842 #>  [23052] 100.31451 100.07497 100.53855  99.45853  99.97500 100.26964 100.04999 #>  [23059]  99.73966  99.67447  99.70958  99.92998 100.16486 100.28958  99.92998 #>  [23066] 100.31949  99.93998 100.20479  99.80481  99.89494 100.07997 100.10494 #>  [23073]  99.92998 100.13491 100.12992 100.27462  99.96499 100.11493 100.38924 #>  [23080]  99.93998  99.83486 100.53855 100.20978  99.98000  99.85489 100.16986 #>  [23087]  99.89494  99.81984  99.53391 100.14490 100.02000 100.08996 100.11493 #>  [23094]  99.46356  99.91997  99.82986  99.74467  99.85990  99.86992 100.32946 #>  [23101] 100.11993 100.52860  99.58916 100.24470 100.22475  99.81483  99.76973 #>  [23108]  99.68450  99.91496  99.52889  99.53391  99.80481  99.92497  99.79980 #>  [23115]  99.45351 100.22475 100.14989  99.68450 100.50373 100.22974  99.89995 #>  [23122]  99.73465  99.51382  99.75971  99.58414  99.96499  99.74969  99.81483 #>  [23129]  99.55401  99.84989 100.20978 100.12992  99.81984 100.35935 100.00500 #>  [23136]  99.67447  99.78477  99.82485  99.82485  99.67949  99.44848 100.31949 #>  [23143]  99.49372  99.66945  99.80982  99.75971  99.65440 100.11493  99.36800 #>  [23150] 100.50871 100.32946  99.70456  99.46859  99.63433  99.79980 100.02500 #>  [23157] 100.23971  99.81483  99.57911 100.08496 100.12992 100.14989  99.68450 #>  [23164] 100.05998 100.25966 100.74225  99.92497 100.12992 100.10494  99.94498 #>  [23171]  99.93998 100.18982 100.55844  99.91997 100.10994 100.21976  99.76973 #>  [23178] 100.37928 100.41912  99.66444 100.14989 100.24969 100.34939 100.31451 #>  [23185] 100.14490  99.75971  99.78978 100.52860 100.10494 100.53855  99.65440 #>  [23192]  99.45351 100.19481 100.12992 100.04999  99.90996 100.03000  99.71459 #>  [23199] 100.00500 100.20479 100.21976  99.42837  99.90996  99.87993  99.73966 #>  [23206] 100.20479  99.28746  99.58916 100.08996  99.47864  99.93498  99.86992 #>  [23213] 100.62803 100.53358 100.59324 100.13491 100.27961 100.23472  99.85990 #>  [23220]  99.50377 100.05498 100.27462 100.39920 100.06498 100.26964 100.11493 #>  [23227] 100.42908 100.10494  99.72963 100.23472 100.14989 100.25966 100.35935 #>  [23234]  99.99000 100.05498 100.09995  99.63935 100.17984 100.29955 100.20978 #>  [23241] 100.38426  99.97000  99.97500 100.20479  99.72963 100.31949  99.82986 #>  [23248] 100.21976  99.91997  99.96499  99.81984  99.54898 100.37928  99.48869 #>  [23255] 100.10994  99.88493 100.39422 100.50373 100.41414  99.97000  99.71961 #>  [23262] 100.00500  99.86992  99.82986 100.06498  99.43339  99.42334  99.38813 #>  [23269] 100.42410 100.11993  99.60924  99.64437  99.66444 100.10494  99.98500 #>  [23276] 100.01000 100.34939 100.90590  99.61928 100.07997  99.91496  99.53894 #>  [23283]  99.99000 100.06498  99.85990  99.60422 100.02000  99.75470 100.21477 #>  [23290] 100.19481 100.18982  99.64939  99.52889  99.87993 100.10494  99.52889 #>  [23297]  99.37303  99.99500  99.64437 100.25468  99.87492 100.31451 100.02000 #>  [23304]  99.76973  99.79479 100.15987  99.85990  99.87993 100.33444 100.00000 #>  [23311]  99.75470  99.80481 100.22475 100.02500  99.63433 100.15987  99.76973 #>  [23318]  99.82986  99.85990 100.12992  99.95999 100.16986 100.12992  99.96499 #>  [23325]  99.76472 100.46392  99.95999 100.23472 100.16486 100.10994 100.40916 #>  [23332] 100.10994 100.44899 100.50871 100.09495  99.45853 100.24969 100.11993 #>  [23339]  99.97000 100.18483  99.72963 100.53358 100.23971  99.86491  99.99500 #>  [23346] 100.37928 100.26465  99.58916 100.14490  99.73465 100.02000 100.16986 #>  [23353]  99.77976  99.88493 100.54850  99.74969 100.39920  99.83987  99.86491 #>  [23360] 100.12492 100.02500 100.22475  99.70958  99.79980  99.56907 100.00000 #>  [23367]  99.94999  99.97500  99.69955  99.63935  99.97500 100.31451 100.05998 #>  [23374] 100.36932  99.85489 100.01500 100.03000  99.69453  99.88994 100.06498 #>  [23381]  99.86491  99.65942 100.10494  99.80982 100.21976  99.79980  99.58916 #>  [23388]  99.77475 100.14490  99.88994 100.13491 100.35437 100.12492  99.82485 #>  [23395] 100.21477  99.88994 100.01000  99.86491  99.84989  99.51382  99.59920 #>  [23402]  99.62429  99.66444  99.94999 100.15987 100.10994 100.36434  99.55401 #>  [23409] 100.63797  99.86992 100.14490 100.04499 100.00000  99.86992  99.43842 #>  [23416] 100.45895 100.03999 100.33942  99.91997 100.36434  99.79980 100.00500 #>  [23423]  99.52889  99.93998  99.95499 100.04499  99.76973 100.08996  99.70958 #>  [23430]  99.94498 100.18483 100.25966  99.80982  99.99000  99.83486 100.28958 #>  [23437]  99.98000 100.30952  99.78477  99.66945  99.77976  99.77475  99.73465 #>  [23444]  99.95999  99.84488  99.46356 100.06498  99.69955 100.31451  99.57409 #>  [23451]  99.60924  99.40322  99.88994 100.47885 100.12992  99.95999  99.47361 #>  [23458]  99.70958 100.04499  99.94999  99.94999  99.92998  99.90495  99.98500 #>  [23465]  99.76472 100.56838 100.12992  99.93498  99.70958 100.78194  99.86992 #>  [23472] 100.19481 100.28958 100.09995 100.00000 100.04499  99.94498  99.45351 #>  [23479] 100.27462  99.76472  99.69453 100.15987  99.78477  99.99500 100.18982 #>  [23486] 100.07997  99.97000 100.19980 100.26964  99.78477  99.80982  99.96499 #>  [23493] 100.13990 100.17984  99.58916  99.89995 100.03499 100.23971  99.84488 #>  [23500] 100.14490  99.38310  99.81483  99.52387 100.28460 100.12992 100.33942 #>  [23507] 100.13990  99.48869 100.40418 100.20978 100.22475 100.50373 100.07997 #>  [23514]  99.49372  99.61426 100.35437  99.56405  99.79479  99.93998  99.51884 #>  [23521]  99.75971 100.04999 100.03999  99.49874 100.24969 100.08496  99.95499 #>  [23528]  99.98500  99.88493 100.05998  99.95499 100.27462 100.41912  99.97000 #>  [23535] 100.30952 100.32447  99.86491 100.25468  99.36800 100.17984 100.34441 #>  [23542]  99.94498 100.44401  99.68450 100.38426 100.70750 100.26964 100.13990 #>  [23549] 100.60815 100.05998 100.20479  99.61426 100.18483 100.15987 100.22974 #>  [23556]  99.98000  99.66945  99.86491 100.20479 100.15488 100.17984 100.24470 #>  [23563]  99.79479 100.34939 100.12992 100.07997  99.88493  99.70456  99.91496 #>  [23570]  99.98500 100.06998 100.18483 100.12992  99.65440  99.41328  99.93498 #>  [23577]  99.87993  99.74969 100.15488 100.10994 100.10994  99.82986  99.87492 #>  [23584]  99.73465 100.38924 100.37928 100.10994 100.09495 100.04999  99.95499 #>  [23591] 100.29955 100.00500  99.53391  99.69955  99.81483  99.85990  99.95499 #>  [23598]  99.87993 100.03499  99.83486 100.12992  99.94999 100.20479  99.80982 #>  [23605] 100.56838  99.77976 100.00000 100.23472  99.54898 100.23971  99.95499 #>  [23612]  99.56907 100.01000  99.93998  99.94498  99.86992  99.87993 100.17984 #>  [23619] 100.06498  99.55903  99.67447 100.07997 100.44401  99.82485 100.18982 #>  [23626]  99.73966 100.70253  99.87993 100.03999  99.79980 100.09495  99.67447 #>  [23633] 100.36434  99.74969 100.01000  99.77976  99.86491  99.86491  99.79479 #>  [23640]  99.94999 100.17984 100.05498 100.38924 100.08496 100.02500  99.70456 #>  [23647] 100.36434 100.28460 100.33942  99.93998 100.16486  99.78477  99.84488 #>  [23654] 100.38924  99.80481 100.20479 100.44401  99.95999  99.83486 100.11493 #>  [23661]  99.92497  99.70958  99.76472  99.86491  99.53391  99.75971  99.77475 #>  [23668] 100.04999  99.65440 100.46890 100.23971 100.28958  99.81984 100.32946 #>  [23675]  99.95499  99.82986  99.90996  99.92497 100.57833 100.52363 100.36932 #>  [23682] 100.36434  99.94999  99.76472 100.06498  99.76973 100.09495  99.43842 #>  [23689] 100.00500 100.27961  99.87993  99.94999 100.21976  99.58916  99.99000 #>  [23696]  99.73465 100.13491  99.77976 100.17984  99.77976 100.09995  99.80481 #>  [23703] 100.50373 100.39920 100.07497 100.34939 100.13491 100.39422  99.93998 #>  [23710]  99.71961  99.74969  99.76973  99.56907 100.03000  99.54396  99.72462 #>  [23717]  99.78477  99.71961 100.03499 100.38426 100.36434 100.29955  99.46356 #>  [23724] 100.17984 100.04499  99.89995 100.34441 100.06498  99.58916  99.97000 #>  [23731] 100.01500 100.00000  99.81483  99.89494  99.92497 100.17485 100.50373 #>  [23738] 100.29955 100.15488  99.93498  99.86491  99.61426 100.19980  99.88493 #>  [23745]  99.28746  99.57911 100.33942 100.10994  99.62429 100.05998  99.93998 #>  [23752]  99.89494 100.22974 100.25966  99.65942 100.28958  99.67447  99.94498 #>  [23759]  99.51382  99.30257  99.51884  99.48869 100.14490  99.84488 100.27462 #>  [23766]  99.72462 100.28958 100.15488 100.31949  99.66444 100.00000 100.01000 #>  [23773]  99.87993 100.02000 100.21477 100.24969  99.60924  99.81483  99.86491 #>  [23780] 100.24969 100.36932 100.08996 100.11993 100.24969  99.74969 100.42908 #>  [23787] 100.27961  99.72963 100.03499  99.61928  99.98000  99.81984  99.62931 #>  [23794] 100.39920  99.29250 100.10494  99.70958  99.59418  99.70958  99.62931 #>  [23801]  99.73966 100.21477  99.98500  99.89995  99.61928 100.14490 100.44401 #>  [23808]  99.49874  99.73465  99.99500 100.19980 100.46890 100.30454  99.90996 #>  [23815] 100.50373  99.87492 100.03499 100.03999  99.97500  99.54396 100.02000 #>  [23822]  99.84488 100.20479 100.32946  99.80481  99.62429  99.98000  99.98000 #>  [23829]  99.33277  99.71961 100.29457 100.38426  99.42837  99.96499 100.13990 #>  [23836] 100.02000  99.52387 100.09995  99.95499 100.36434  99.97500 100.07997 #>  [23843] 100.20978  99.68952  99.97500  99.91997 100.20978 100.17984  99.82986 #>  [23850]  99.92497 100.32946 100.01500 100.15488 100.20978  99.77976  99.58414 #>  [23857]  99.93498 100.19481  99.65942  99.88493  99.89995  99.66444  99.62429 #>  [23864] 100.16486 100.39920  99.48869  99.69955 100.18483 100.26964  99.99500 #>  [23871]  99.90996 100.38426  99.52889  99.56405  99.93998  99.72462  99.77976 #>  [23878]  99.93998  99.76973 100.03499 100.12492 100.40418  99.82986 100.15488 #>  [23885] 100.18483  99.83486  99.49372  99.65440  99.52889 100.05998  99.88493 #>  [23892] 100.04999 100.77698 100.17485  99.87993 100.18483 100.40418 100.24470 #>  [23899] 100.22974  99.77475  99.77475  99.87993 100.36932  99.86992 100.28460 #>  [23906]  99.83486 100.46392  99.82485  99.73966 100.03499 100.27961  99.52387 #>  [23913]  99.52387  99.78978  99.89494  99.47361  99.72963  99.83486 100.08996 #>  [23920] 100.12492 100.04999 100.03000  99.95999  99.86491  99.76973  99.99000 #>  [23927] 100.45397 100.19481 100.09995 100.24470 100.19980  99.64437 100.11493 #>  [23934] 100.21477 100.06498  99.88493 100.47885 100.02000 100.10494 100.01500 #>  [23941] 100.34939 100.27462  99.52387 100.11493 100.11493 100.05998 100.33942 #>  [23948] 100.25966 100.40418 100.07997 100.23472 100.14490 100.17485  99.79479 #>  [23955] 100.48383  99.66945 100.21976  99.46356  99.48367  99.38813 100.70253 #>  [23962] 100.47388 100.14989  99.87993  99.88994  99.80481  99.84989 100.19481 #>  [23969] 100.05498 100.47885  99.62931 100.03000 100.21477  99.97500  99.92497 #>  [23976]  99.70958  99.71459  99.93498 100.10994 100.13990 100.51865  99.39819 #>  [23983] 100.60815  99.70456  99.58414 100.00500  99.70958 100.25966  99.72462 #>  [23990] 100.68764 100.53855  99.67949 100.20479 100.32447 100.34939  99.82485 #>  [23997]  99.81984 100.57833  99.44345  99.79980 100.44401  99.48367  99.57409 #>  [24004] 100.24969  99.62429  99.64437  99.97500 100.02000 100.04999 100.25468 #>  [24011]  99.93998 100.06998  99.88994 100.33444  99.80982  99.50879  99.99500 #>  [24018]  99.79479  99.88994 100.25468 100.03499  99.80481  99.56405  99.55903 #>  [24025]  99.88493  99.88493  99.96499  99.91997 100.13990  99.94498  99.95999 #>  [24032] 100.09495 100.13491 100.13990 100.28958 100.05998  99.82485 100.19980 #>  [24039] 100.14989 100.20978 100.36434  99.94498 100.50871  99.92497 100.06498 #>  [24046] 100.39422 100.05998  99.38310 100.08496  99.24213  99.56405 100.29457 #>  [24053] 100.14989  99.94999 100.08996 100.28958 100.32447 100.03499 100.02500 #>  [24060] 100.19481 100.24470 100.00500  99.64939  99.94498  99.90495 100.14490 #>  [24067] 100.04499 100.02500  99.95999 100.21477 100.73232 100.00500 100.16986 #>  [24074] 100.03499 100.38924  99.89995  99.73966  99.67949 100.25468  99.35794 #>  [24081]  99.86491 100.22475 100.30952 100.35935  99.98000  99.66444  99.96499 #>  [24088] 100.06498  99.89995  99.92497 100.17984 100.13491 100.14490 100.20978 #>  [24095] 100.23472  99.99500 100.34441 100.17485 100.27961  99.83987  99.67447 #>  [24102]  99.84989  99.90495  99.74467 100.04999 100.29457  99.28746 100.24969 #>  [24109] 100.06998  99.69453 100.00500 100.17485  99.65440 100.14989 100.21976 #>  [24116]  99.83486 100.25966  99.91496  99.86491 100.15987 100.01500 100.11993 #>  [24123]  99.66444 100.11493 100.04499 100.53358  99.32271  99.77475 100.46890 #>  [24130] 100.51865  99.25220 100.17984  99.97000  99.92998 100.05998 100.30454 #>  [24137] 100.15488 100.06998  99.90495  99.17157 100.03000  99.49372  99.82986 #>  [24144]  99.78978 100.03499  99.82485  99.73966  99.95499  99.90495 100.22974 #>  [24151] 100.17984  99.92497 100.05998 100.25966  99.58916  99.79479 100.10494 #>  [24158] 100.01500  99.93498  99.90495 100.21477 100.23472  99.97000  99.75470 #>  [24165]  99.51382  99.73966  99.31767 100.21976  99.77475 100.21976  99.74969 #>  [24172]  99.79479 100.14490  99.62931  99.93498  99.63935 100.23971  99.78978 #>  [24179]  99.82485  99.76973  99.74969 100.24470 100.52860 100.16986  99.64437 #>  [24186]  99.74969  99.82986  99.90996  99.77475 100.10994 100.38924  99.41831 #>  [24193] 100.37928  99.84488 100.01000  99.64437 100.00000  99.73465 100.21976 #>  [24200] 100.52860 100.14989  99.50879  99.74969  99.60422  99.75971  99.72963 #>  [24207]  99.72963  99.56405 100.42410  99.59418  99.72462  99.89995 100.01000 #>  [24214]  99.98000  99.78978  99.73966  99.51884 100.22475 100.15987  99.81984 #>  [24221] 100.17984  99.88493  99.62429  99.74969  99.94498 100.00500 100.67274 #>  [24228] 100.16486  99.92998  99.84488 100.58827 100.35437  99.76973  99.90996 #>  [24235] 100.11493 100.39920  99.40825 100.07997 100.33942  99.84488  99.84989 #>  [24242] 100.44401 100.03000  99.83987 100.52363 100.31451 100.54352  99.94498 #>  [24249]  99.85489 100.36434  99.65942 100.22475 100.46392 100.56341  99.54898 #>  [24256]  99.97500 100.02000  99.76973 100.14989  99.83486  99.71961  99.59920 #>  [24263]  99.87492 100.06998 100.46392  99.92998  99.89995 100.00000 100.34441 #>  [24270] 100.10494 100.26964 100.61809  99.65942 100.51368  99.83987  99.83987 #>  [24277] 100.12992 100.31949 100.33444 100.17984 100.15488 100.49876 100.14490 #>  [24284]  99.56405 100.00500 100.19481 100.62803 100.05498 100.28958 100.08496 #>  [24291]  99.86491  99.93998 100.01000 100.14989  99.63935  99.22701  99.55903 #>  [24298] 100.42410  99.52387 100.15488  99.98500  99.83486 100.17485 100.02000 #>  [24305]  99.81483  99.99000 100.26465 100.58330 100.38426 100.08496 100.53855 #>  [24312] 100.33942 100.30454 100.32946 100.26964 100.35437  99.60422  99.58916 #>  [24319]  99.96499 100.00500 100.13990 100.25468  99.84488  99.87993 100.52860 #>  [24326]  99.83486  99.72462  99.86992  99.98000  99.84989 100.20479 100.17984 #>  [24333] 100.11993  99.58414 100.10994  99.84488 100.13491 100.27462  99.97000 #>  [24340]  99.47361 100.12492  99.67447  99.94999  99.71961 100.14490  99.92497 #>  [24347]  99.74969 100.26465  99.92497 100.21976  99.83987 100.08996 100.03499 #>  [24354]  99.79479 100.17485 100.31949  99.86992 100.07997 100.30952 100.31451 #>  [24361] 100.32447  99.65942  99.92998 100.22475  99.82485  99.77475 100.27961 #>  [24368]  99.71961  99.64437  99.78477 100.26964 100.12992  99.96499 100.17984 #>  [24375]  99.85489  99.99000 100.55844  99.88493 100.11493  99.66945  99.89995 #>  [24382] 100.40916 100.07997 100.39422  99.60924  99.78477 100.12492 100.09995 #>  [24389]  99.82485  99.92497 100.52860  99.99000 100.16986 100.01500  99.85489 #>  [24396] 100.14490  99.74467 100.00500 100.58827 100.01000  99.87993  99.97500 #>  [24403] 100.58827  99.34284  99.43339  99.49874 100.00000 100.10494  99.85990 #>  [24410] 100.49378 100.10994 100.35437 100.06498  99.95499 100.43406 100.41912 #>  [24417] 100.14490  99.22701  99.63935 100.34441 100.38426 100.09495  99.65440 #>  [24424]  99.81984  99.89494 100.27961  99.83987  99.68450  99.91496 100.28958 #>  [24431]  99.93998 100.38426  99.67447 100.54352  99.66945  99.99500  99.64437 #>  [24438]  99.76472  99.82986 100.29457 100.14490  99.93498  99.72963  99.80982 #>  [24445] 100.37430  99.89995  99.45853  99.95999  99.97500  99.72963 100.06498 #>  [24452]  99.58414 100.24470  99.83987 100.11493  99.88994 100.22974 100.57833 #>  [24459] 100.02000  99.53391  99.94498  99.64939  99.92497 100.42908 100.18982 #>  [24466]  99.66945 100.08496 100.20479 100.42908 100.02000 100.45895 100.26465 #>  [24473]  99.75971  99.88994  99.79479 100.03999 100.21976  99.81984 100.19481 #>  [24480] 100.27462  99.62931 100.19481  99.86491  99.38813 100.30952 100.06498 #>  [24487]  99.92998 100.03000 100.03499  99.78477 100.25468  99.81483  99.51382 #>  [24494]  99.88493 100.29955 100.00000  99.90495 100.04499 100.23472  99.83987 #>  [24501] 100.05998  99.61928 100.21477 100.26465  99.94999 100.32447  99.98000 #>  [24508] 100.46890 100.15488 100.25468  99.78477 100.49378  99.92998  99.74969 #>  [24515] 100.02000  99.93498 100.43406  99.65942 100.11993  99.64437  99.88994 #>  [24522]  99.92497  99.78477  99.72963  99.84989 100.47388 100.05998  99.40825 #>  [24529] 100.27462  99.56405 100.29955 100.17984 100.11993  99.75971  99.93998 #>  [24536] 100.10994 100.14490  99.80481 100.11993 100.01500  99.66444  99.99000 #>  [24543] 100.23971 100.18483 100.10494 100.22974 100.06998 100.02000  99.77976 #>  [24550]  99.56405  99.88994  99.90495  99.68952 100.24470 100.34939 100.16486 #>  [24557] 100.02500  99.68952  99.91997 100.18483 100.44899 100.22974 100.14989 #>  [24564]  99.93498 100.03999 100.10494 100.09995  99.45351 100.24470  99.84488 #>  [24571] 100.22974 100.14989  99.58414  99.69453  99.88994  99.97000  99.98000 #>  [24578]  99.59920 100.29955 100.14989 100.06998 100.64790  99.99500  99.79980 #>  [24585] 100.08496 100.59821 100.31949 100.30454  99.79479 100.02000 100.51865 #>  [24592]  99.93498  99.82485 100.01000  99.83987  99.86491 100.15987  99.92998 #>  [24599] 100.03999  99.80982 100.21477 100.36932 100.35935 100.27961  99.95499 #>  [24606] 100.12992 100.04499  99.91496 100.57833 100.25966 100.60318 100.03999 #>  [24613] 100.56341 100.60815  99.29753  99.58414 100.00000 100.07497  99.81483 #>  [24620]  99.79980  99.91997 100.01000 100.37430  99.84488 100.20978 100.01500 #>  [24627] 100.03000 100.10494 100.30454  99.76472 100.02500  99.43842  99.72963 #>  [24634] 100.00000  99.97500 100.48383 100.17984  99.97500 100.48881 100.22475 #>  [24641]  99.88493 100.10494 100.28460 100.00000 100.16986 100.02000  99.92998 #>  [24648]  99.61928 100.64293 100.08996 100.32447  99.70958 100.00000 100.22974 #>  [24655]  99.76973  99.85489  99.91496 100.51865 100.54352 100.17485 100.05498 #>  [24662] 100.17485  99.43339  99.58916 100.10494 100.37430 100.23472 100.12992 #>  [24669]  99.64437  99.87492  99.61928 100.58330  99.65942 100.32946  99.71961 #>  [24676]  99.95999 100.03999 100.45895  99.87993  99.45853 100.52860  99.63935 #>  [24683]  99.72462 100.09495 100.86625  99.95999 100.19481 100.12492 100.70253 #>  [24690] 100.29955 100.07997 100.02000  99.80982 100.07497 100.08496 100.09995 #>  [24697]  99.90495  99.90996 100.21976  99.81984  99.66444 100.04499  99.80481 #>  [24704] 100.11493  99.93998 100.08496  99.99500 100.09495 100.05498 100.16986 #>  [24711] 100.28460  99.87492  99.73966  99.74969 100.25468 100.03499 100.34939 #>  [24718]  99.87492 100.10494 100.33444 100.12492  99.62429  99.65942  99.81984 #>  [24725]  99.75971  99.90495  99.85990 100.24470 100.47885  99.87993 100.05498 #>  [24732] 100.21976 100.50373 100.49378 100.02500 100.40916 100.22475  99.81483 #>  [24739] 100.11993  99.82485 100.12492  99.93998  99.95499  99.80982  99.88493 #>  [24746] 100.36932  99.43339 100.05498 100.32447  99.42837 100.00000  99.88994 #>  [24753]  99.69453  99.78477  99.92998 100.13990 100.18483 100.00000 100.30952 #>  [24760]  99.98500 100.69757  99.38813  99.92998 100.14490 100.18982  99.68952 #>  [24767]  99.93998 100.19481 100.28460  99.69955 100.02000 100.00500  99.98500 #>  [24774] 100.09995  99.83486  99.92497 100.32946 100.25468 100.40418 100.53855 #>  [24781] 100.27961 100.30454 100.58827 100.08996 100.03999  99.68952 100.11993 #>  [24788] 100.14989  99.82986 100.16986  99.83486  99.91997 100.20978 100.00500 #>  [24795] 100.13990  99.95999 100.13491  99.86992  99.94999 100.10494 100.06998 #>  [24802]  99.72963  99.74467 100.35437 100.06998 100.37430 100.31949 100.02500 #>  [24809]  99.78978 100.15488 100.13990 100.16486 100.26964 100.26964  99.57409 #>  [24816]  99.90996  99.79980 100.27462  99.90996  99.99000  99.87993  99.78477 #>  [24823] 100.58330 100.46392  99.48869  99.79980 100.20479 100.02000  99.55903 #>  [24830] 100.05998 100.54850 100.39920 100.21477  99.80481  99.73465  99.92497 #>  [24837] 100.10994  99.91496  99.61928 100.06998  99.48367  99.67949  99.77475 #>  [24844] 100.05998 100.21477 100.00500 100.03999  99.82986 100.23472  99.95999 #>  [24851]  99.59418  99.96499 100.03499  99.72462  99.69453  99.99500  99.90996 #>  [24858]  99.66945  99.92998  99.85489 100.51865 100.21477 100.11493 100.31451 #>  [24865]  99.68952 100.31949  99.67949 100.04499 100.11493 100.21477 100.02500 #>  [24872] 100.47388 100.03999 100.07497  99.97000  99.89995 100.02500 100.21976 #>  [24879] 100.23971 100.29457  99.98500  99.92497  99.71459 100.16986 100.66280 #>  [24886]  99.81483  99.89995 100.54850  99.87993  99.99500  99.70456 100.14989 #>  [24893]  99.80982  99.73465  99.54396 100.07497 100.04499  99.80481  99.93498 #>  [24900]  99.85990 100.03499 100.29457 100.17485  99.92998 100.37430  99.87993 #>  [24907]  99.61426 100.35935  99.99500  99.92497  99.86491  99.73465  99.58916 #>  [24914]  99.85489  99.69453  99.70958 100.06998 100.20978  99.95499  99.61426 #>  [24921] 100.42410 100.00000  99.75470 100.12492  99.66444  99.89995 100.31949 #>  [24928] 100.32946 100.24470  99.63433 100.33444  99.87993 100.54352 100.37430 #>  [24935] 100.33444 100.39422  99.31264 100.04499  99.99000  99.81984 100.32447 #>  [24942]  99.57409 100.26964  99.85990 100.31451  99.69453 100.13990  99.63935 #>  [24949]  99.56405 100.27961  99.82485 100.29457  99.69955 100.12992  99.86491 #>  [24956]  99.76472 100.21976 100.20978 100.58330 100.32447 100.24969  99.41328 #>  [24963]  99.70456  99.31767  99.51884 100.27462  99.77976  99.76472 100.03499 #>  [24970] 100.19980  99.85990  99.99000  99.86491 100.53855 100.62803  99.46859 #>  [24977]  99.92998 100.30952 100.56341 100.25966 100.10994 100.07997 100.07497 #>  [24984]  99.95499  99.68450 100.08996  99.79479  99.93998 100.48383 100.23472 #>  [24991] 100.16986  99.66945 100.27462  99.78477 100.17485  99.86992  99.67447 #>  [24998] 100.38426 100.18982 100.16486 100.12492 100.01500 100.09995 100.36434 #>  [25005]  99.43339  99.65942 100.15488  99.59920  99.96499  99.66945  99.52387 #>  [25012]  99.60924 100.20479  99.66444 100.12492 100.47885 100.52860 100.04499 #>  [25019]  99.69453 100.45397 100.26465 100.26465 100.18982 100.12992  99.80982 #>  [25026] 100.17485  99.86992  99.78978 100.22475  99.79479 100.32946 100.18483 #>  [25033] 100.05998 100.18982  99.69453  99.56405  99.69453 100.10994  99.95499 #>  [25040] 100.21477  99.88994  99.95499 100.46890 100.90590  99.82485 100.11493 #>  [25047] 100.21976  99.90996  99.97000  99.75971  99.74969 100.28958 100.32946 #>  [25054] 100.23971  99.72963  99.97500  99.78978 100.30952 100.04999  99.72963 #>  [25061]  99.67447  99.99500 100.12492 100.31949 100.02000  99.76973 100.02500 #>  [25068] 100.71246 100.05998 100.11993  99.65440 100.00500  99.59418  99.51884 #>  [25075]  99.97500  99.66945 100.56341 100.04999 100.52860  99.66444 100.09995 #>  [25082] 100.12992  99.95999 100.23472 100.33444  99.94498 100.12492 100.43904 #>  [25089] 100.30454  99.38813 100.37430  99.84488 100.45397 100.33444  99.65942 #>  [25096]  99.86992 100.02000 100.40916 100.24470  99.99500 100.70750  99.88994 #>  [25103]  99.73966 100.64790  99.81483 100.44401 100.48881  99.95999  99.80481 #>  [25110] 100.30454 100.01000 100.01500 100.39920 100.04499 100.04999  99.80982 #>  [25117]  99.95499 100.13491  99.81984 100.41912 100.09495  99.73966  99.87993 #>  [25124]  99.98500  99.84989  99.53391 100.32447 100.21976 100.00500 100.10994 #>  [25131] 100.27462 100.22974 100.38426 100.25966  99.66444 100.30454 100.24969 #>  [25138] 100.04499 100.02500  99.70958  99.67447 100.17485  99.68952 100.00000 #>  [25145]  99.71459 100.35935  99.90996 100.15987  99.82986  99.95499 100.27462 #>  [25152]  99.88493 100.45397  99.96499 100.17485  99.81483  99.96499 100.06998 #>  [25159]  99.90996  99.99500 100.12492 100.12992  99.82485 100.12992  99.65942 #>  [25166] 100.32447  99.89995  99.42837  99.86491  99.78978  99.84488  99.88493 #>  [25173]  99.87993 100.03499  99.85489 100.00500  99.93998  99.90495 100.09995 #>  [25180] 100.02500 100.01500 100.25966 100.09995  99.99000  99.52387 100.24470 #>  [25187]  99.92998 100.12492  99.56907 100.25468  99.85489 100.02000  99.91997 #>  [25194]  99.56907 100.18982 100.00000  99.78477 100.23971  99.77976 100.17984 #>  [25201] 100.03999 100.18982  99.98000 100.08496  99.98000 100.42410 100.40916 #>  [25208]  99.74969 100.03999 100.21477 100.33942  99.86992 100.06998  99.98000 #>  [25215] 100.38924  99.62931  99.84488  99.95499 100.28958  99.67949  99.53391 #>  [25222] 100.27462  99.59920 100.64790  99.86992 100.23971 100.03000  99.62429 #>  [25229] 100.09495  99.62931  99.83486  99.64939  99.20181 100.50373 100.05998 #>  [25236]  99.78477  99.40322 100.03999  99.65942  99.66444  99.68952 100.16486 #>  [25243] 100.06998 100.13491  99.88994 100.12492  99.55401 100.00000  99.86491 #>  [25250] 100.37928 100.07497  99.77475 100.25966  99.49874  99.50879 100.08996 #>  [25257] 100.03499 100.12492  99.70958  99.75470 100.43406  99.77475  99.95499 #>  [25264] 100.74225  99.69955  99.82485 100.16986  99.85489 100.20479 100.29955 #>  [25271]  99.79479 100.37928  99.98000 100.04999 100.35437 100.03499  99.89995 #>  [25278]  99.54898  99.64939  99.63433  99.89995 100.06498 100.32946 100.04499 #>  [25285] 100.15987  99.64437 100.15488 100.37430 100.22974 100.11493 100.31451 #>  [25292]  99.70456 100.00500  99.91496  99.59920 100.40916 100.05498 100.10494 #>  [25299]  99.93998 100.27961  99.58414 100.22475 100.23971 100.09995 100.04499 #>  [25306]  99.75971 100.00000 100.07497 100.05498 100.34441  99.89494 100.48383 #>  [25313] 100.32447 100.02000  99.30257  99.64939  99.70456  99.82986  99.89494 #>  [25320] 100.01500 100.46890 100.19980  99.72462  99.74467 100.12992  99.75971 #>  [25327] 100.02000  99.41831  99.72963  99.99000  99.63935 100.30952 100.13491 #>  [25334]  99.44848  99.83486  99.87492  99.60422  99.93498 100.11993  99.92998 #>  [25341]  99.92998  99.85990  99.82986 100.13990 100.16986 100.23472 100.11493 #>  [25348]  99.81483 100.20479 100.16986  99.94999  99.95999  99.65440 100.13491 #>  [25355] 100.27462  99.80481 100.08496 100.14490 100.45895  99.55903 100.35437 #>  [25362]  99.88493 100.37928 100.52860  99.95999  99.67447 100.14989 100.23971 #>  [25369] 100.03499 100.18982  99.69453  99.85990  99.88493  99.72462  99.62931 #>  [25376] 100.59324  99.92497 100.09995 100.00500 100.17984 100.00000  99.87492 #>  [25383]  99.81984 100.08996 100.32447 100.01000  99.67949 100.02000 100.21477 #>  [25390] 100.20978  99.83486 100.34939 100.03999 100.00000  99.82986 100.41414 #>  [25397] 100.02500  99.67949 100.25468  99.76472 100.26964  99.49874  99.94498 #>  [25404] 100.49378  99.89494  99.98000 100.08996  99.86992 100.33942  99.95499 #>  [25411]  99.66444  99.97000 100.22475 100.37430 100.59324  99.89494 100.04999 #>  [25418]  99.71961 100.15488 100.44401  99.68952 100.14989  99.76472 100.14989 #>  [25425]  99.99000  99.74467  99.99500  99.60422 100.33942  99.78477  99.81984 #>  [25432]  99.91496 100.40418 100.22974  99.67447  99.95499 100.25966 100.29457 #>  [25439]  99.61426  99.73966  99.73966 100.08496 100.60815 100.13491 100.03999 #>  [25446]  99.93998 100.07997 100.04499 100.18483  99.77475  99.71961  99.78978 #>  [25453]  99.50377 100.39422 100.08996  99.89995 100.32946  99.95999 100.54352 #>  [25460] 100.28460 100.40916 100.36434 100.07997 100.43406 100.22475  99.76472 #>  [25467]  99.81483 100.66280 100.00000 100.11993  99.91997  99.87492 100.31949 #>  [25474] 100.08996 100.75217 100.33444 100.20978  99.59920 100.71743 100.08496 #>  [25481]  99.92998 100.38924 100.32447  99.64939 100.42908 100.24470  99.68450 #>  [25488]  99.94999  99.85990 100.56838  99.46356  99.89995 100.01000  99.97000 #>  [25495] 100.67274  99.88493 100.34441 100.04999 100.09995 100.12992 100.35437 #>  [25502]  99.92998 100.13990 100.24969 100.51368 100.40916 100.43406 100.00500 #>  [25509] 100.04499 100.44899  99.72462  99.82485 100.72239 100.42908 100.21976 #>  [25516]  99.63433  99.75971  99.75971 100.10494 100.42410 100.15488 100.46890 #>  [25523] 100.01000 100.08996  99.66444 100.19980 100.04499 100.25468  99.90996 #>  [25530]  99.68952  99.90495 100.65287  99.67949 100.21477 100.26964  99.39316 #>  [25537] 100.12992  99.76973 100.29955 100.14490  99.79479  99.38813  99.49874 #>  [25544]  99.61928  99.74969  99.76472 100.19481  99.69955  99.84989  99.68952 #>  [25551]  99.47864  99.60422  99.80982 100.37928 100.10994 100.04499  99.88994 #>  [25558] 100.50373 100.07497 100.52363 100.30952  99.76973  99.65942  99.68450 #>  [25565]  99.51382  99.61928  99.91496  99.34284 100.14989  99.84989  99.89995 #>  [25572]  99.95499 100.25966 100.02000  99.78477 100.03499 100.47388  99.54396 #>  [25579] 100.50373 100.03499 100.25966 100.06998  99.78978  99.88994  99.70456 #>  [25586] 100.13990 100.44899 100.53855  99.83987 100.44899  99.59418 100.18982 #>  [25593] 100.58330  99.25724  99.43842  99.83987  99.78477 100.27462 100.35437 #>  [25600] 100.02500 100.25468  99.51884 100.24969 100.55844 100.40916  99.74969 #>  [25607]  99.36800 100.42410 100.33444  99.94498 100.35437 100.57833  99.93998 #>  [25614]  99.43339  99.97000  99.73966  99.92497 100.16986 100.08496  99.60422 #>  [25621] 100.03499 100.29955  99.89995  99.99500  99.85489  99.66945  99.82986 #>  [25628]  99.58414 100.00000  99.84989  99.78978 100.25966  99.99500  99.82986 #>  [25635] 100.08996 100.32946 100.36932  99.93998  99.79980  99.90996 100.25966 #>  [25642] 100.13990  99.96499 100.04499  99.81984  99.98000  99.75470 100.14989 #>  [25649]  99.98500  99.81483  99.70958 100.32447  99.82986  99.92998  99.90996 #>  [25656] 100.19980  99.71961  99.93998  99.53894 100.10994  99.93498  99.99500 #>  [25663]  99.70456 100.28958 100.53855 100.05498 100.35437  99.87993 100.45397 #>  [25670] 100.00500 100.32946  99.67949  99.88994  99.65440  99.51382 100.43904 #>  [25677]  99.76472  99.42334  99.78477  99.93498 100.33942 100.13990  99.63935 #>  [25684] 100.20978  99.95499  99.85990 100.13491 100.25468  99.74969  99.63935 #>  [25691]  99.69453 100.38924  99.68952  99.50879 100.21976  99.99500  99.88493 #>  [25698]  99.70958  99.54396 100.49876  99.84989 100.49876 100.04999 100.67274 #>  [25705] 100.50373  99.77475  99.44345 100.06498 100.14490  99.63935 100.16986 #>  [25712] 100.11493 100.09495 100.00000  99.94498  99.74969  99.74969  99.76472 #>  [25719] 100.20479  99.66444  99.78477 100.22974 100.29955  99.71459  99.77976 #>  [25726]  99.88994 100.32946 100.27961 100.43406  99.62429 100.62306 100.29457 #>  [25733]  99.34284 100.42908 100.02000 100.14989 100.16486  99.75971  99.80982 #>  [25740]  99.74467 100.04499 100.11993  99.77475  99.82485 100.05998 100.05998 #>  [25747]  99.73465  99.98500 100.38924  99.61928  99.95499  99.90495  99.78477 #>  [25754]  99.68952 100.37928 100.20978 100.18483 100.14490 100.39920 100.43904 #>  [25761] 100.09995 100.02000 100.00500 100.37430 100.10494 100.42410 100.06498 #>  [25768] 100.04999 100.07497  99.76973  99.97000 100.07997  99.96499 100.01000 #>  [25775] 100.07497 100.11993 100.23971  99.31767  99.86992 100.38924 100.20978 #>  [25782] 100.10494  99.57911 100.20978 100.01500  99.95999 100.55347  99.37807 #>  [25789] 100.06998  99.67949 100.40916  99.83987 100.28958 100.31949  99.95999 #>  [25796]  99.72963  99.94999 100.29457  99.66945  99.90495  99.65440  99.94498 #>  [25803]  99.95999 100.00500 100.01000  99.75470  99.87492  99.70958  99.70456 #>  [25810]  99.75971  99.94498 100.30952  99.76973 100.01000 100.00500 100.04999 #>  [25817]  99.88994  99.67949 100.01500 100.13990 100.28460  99.93498  99.93998 #>  [25824]  99.78978  99.72963 100.09995  99.67447 100.46392  99.68952  99.99000 #>  [25831] 100.43406 100.10994 100.08496 100.34939 100.46890 100.23472 100.59821 #>  [25838]  99.94999 100.02000 100.09995  99.99500 100.12992 100.34441  99.75971 #>  [25845] 100.14989  99.55401 100.05998 100.26465  99.80982 100.01500  99.86992 #>  [25852]  99.44848  99.95999  99.75971  99.80982 100.20479  99.71459  99.65440 #>  [25859] 100.11993 100.00500 100.21477  99.97500  99.73966 100.50871 100.02000 #>  [25866] 100.16986 100.58330  99.68952  99.80982  99.94498  99.57409  99.75971 #>  [25873] 100.13491 100.29955  99.63433  99.62931 100.30454  99.92497  99.86992 #>  [25880] 100.06498 100.29955  99.72963 100.30454 100.29955 100.43406  99.47864 #>  [25887]  99.61426  99.78978  99.58916 100.20978 100.37928 100.27961  99.78978 #>  [25894]  99.56907 100.44401  99.90996  99.36297  99.84989 100.05998 100.23472 #>  [25901]  99.85990 100.10494 100.09495  99.78477  99.89995 100.23472 100.15488 #>  [25908] 100.34441 100.20479 100.30454 100.16986 100.33444  99.94999 100.30454 #>  [25915] 100.11493 100.13491  99.79980  99.70456 100.00500  99.44345  99.60924 #>  [25922]  99.34787  99.86491 100.00000 100.10994 100.03499  99.78477  99.78477 #>  [25929]  99.54898 100.46890 100.07997  99.61426 100.06498  99.81984 100.17984 #>  [25936]  99.92998  99.80982  99.93498  99.62931 100.26465  99.93998  99.67447 #>  [25943] 100.09995  99.94498 100.06998 100.12992 100.30454  99.68952 100.07497 #>  [25950] 100.05998  99.59418 100.37430  99.81483  99.41831 100.36434 100.20479 #>  [25957]  99.39819  99.62429 100.13491  99.86992 100.32946  99.53391 100.04999 #>  [25964]  99.97500  99.96499 100.10494 100.43406  99.74467 100.10494 100.09495 #>  [25971] 100.09495 100.02500 100.14490 100.03499 100.53855 100.15987 100.55844 #>  [25978]  99.85489  99.59418 100.46890  99.77976  99.74969  99.54898  99.66945 #>  [25985]  99.67447 100.39920 100.07997 100.00000  99.53894 100.44401 100.14490 #>  [25992] 100.50871 100.24470  99.92497 100.06998  99.97500  99.59418  99.47361 #>  [25999] 100.18483  99.94498  99.89995 100.46392  99.79479  99.58916 100.27961 #>  [26006] 100.41912  99.73966  99.75470 100.13491 100.18483 100.03499  99.69955 #>  [26013] 100.02000 100.43406 100.78690  99.79479  99.88994 100.44401 100.03999 #>  [26020] 100.11493 100.76210  99.83486 100.32946 100.33942  99.90996  99.88493 #>  [26027]  99.74969 100.37928 100.15987  99.79980  99.83486  99.74467  99.74969 #>  [26034]  99.69955 100.24470  99.40322  99.82485  99.65942 100.09495  99.90996 #>  [26041] 100.24470 100.24969  99.79479 100.07497 100.16486  99.85990  99.60924 #>  [26048] 100.03000 100.13491  99.59418  99.75971 100.14490 100.49378 100.02500 #>  [26055] 100.09495  99.90996  99.61426  99.47361 100.36932  99.93998 100.16486 #>  [26062]  99.98500 100.14490 100.37928 100.10994 100.54850  99.81984 100.40418 #>  [26069] 100.26465  99.75971 100.19980  99.96499  99.44345 100.33444  99.96499 #>  [26076]  99.78978  99.80481 100.05498 100.06498 100.09995 100.03000  99.93998 #>  [26083] 100.48383 100.18483 100.19980 100.14490  99.52387  99.98500 100.27961 #>  [26090]  99.96499 100.18483  99.82986 100.04499  99.92998  99.50377 100.23472 #>  [26097]  99.83486 100.30454  99.95999  99.80481  99.70456 100.07997 100.00500 #>  [26104]  99.70958  99.67447 100.05498  99.87993  99.99000 100.14989 100.12992 #>  [26111] 100.22475 100.01000  99.82485 100.22974 100.04999 100.04999  99.91496 #>  [26118]  99.80481 100.32946  99.83987  99.78477  99.95499  99.80481  99.44345 #>  [26125]  99.99500  99.94498 100.04499  99.50879 100.39422  99.94498 100.33942 #>  [26132]  99.69955  99.97000  99.60422  99.90495  99.77976  99.92497 100.02500 #>  [26139]  99.98500  99.82485 100.19980 100.06998 100.22475  99.85489 100.16986 #>  [26146]  99.86992  99.55903  99.96499 100.11993  99.88493  99.94999 100.09995 #>  [26153]  99.58414  99.84989 100.19980 100.11993  99.58414 100.30454 100.15488 #>  [26160] 100.19481  99.90495 100.20978 100.30952  99.58916  99.85990  99.71459 #>  [26167]  99.66945  99.92497 100.01500 100.24470  99.99500  99.99000  99.68450 #>  [26174] 100.06498 100.37430 100.59324 100.31451 100.38426  99.82485  99.90495 #>  [26181] 100.18483  99.68450  99.54396 100.03999  99.91496 100.36932 100.38924 #>  [26188]  99.64437  99.54396 100.08496 100.17485 100.06498 100.35437 100.41912 #>  [26195]  99.88493  99.68450  99.95499  99.92998  99.21189 100.08496 100.45397 #>  [26202] 100.06498  99.90495 100.04999  99.90495 100.48881 100.26465 100.45397 #>  [26209] 100.45397 100.20479  99.63935  99.42334  99.83987 100.01500 100.20479 #>  [26216] 100.30454 100.09495 100.46392  99.47864  99.98500  99.88493 100.35935 #>  [26223]  99.93998 100.12492  99.52387  99.77475 100.50373  99.99000 100.23971 #>  [26230]  99.87993 100.67274  99.48367 100.23472 100.40418  99.57911 100.09995 #>  [26237]  99.87993 100.40916  99.67949 100.28460  99.75971  99.77475  99.68952 #>  [26244] 100.10994  99.54898 100.09995  99.75470  99.68450 100.20479 100.35935 #>  [26251]  99.64939 100.28958 100.38426 100.04499  99.76472  99.91496 100.32946 #>  [26258] 100.04499  99.83486  99.90996 100.42410  99.43339  99.62931 100.50871 #>  [26265] 100.08496 100.34939  99.92998  99.57409  99.44848  99.78477 100.27462 #>  [26272]  99.43842 100.17984 100.27961 100.08996 100.07997  99.60924 100.06998 #>  [26279]  99.98500  99.92998  99.93498 100.10494  99.87993  99.54898 100.02500 #>  [26286]  99.87492 100.08496 100.38924  99.84488 100.00000  99.93998  99.52387 #>  [26293]  99.88493  99.74467  99.95499 100.01000  99.80982  99.81483  99.95999 #>  [26300]  99.93498 100.00000 100.19481  99.42334 100.22974  99.63935  99.38310 #>  [26307]  99.76472 100.22475  99.87993 100.09995  99.36800  99.66444 100.07997 #>  [26314] 100.08996  99.80481  99.77976 100.04999  99.88994 100.55347 100.51865 #>  [26321]  99.58414  99.73966 100.08496  99.44345  99.59418 100.07497  99.98500 #>  [26328]  99.78477  99.66945  99.84989  99.57911 100.02500  99.99000  99.58414 #>  [26335] 100.48881  99.93498 100.14989  99.52387 100.37430 100.08996 100.25468 #>  [26342] 100.16986  99.93498 100.28958 100.25468  99.70456  99.86491 100.20978 #>  [26349] 100.16986  99.86491  99.98500  99.98000  99.70958 100.25468 100.51368 #>  [26356]  99.54396  99.64939 100.27961  99.63433 100.29955 100.10494  99.63433 #>  [26363] 100.09495  99.94999  99.60422  99.96499 100.29457 100.20479  99.42837 #>  [26370] 100.30454 100.42410 100.46392  99.51382 100.45397 100.00000  99.78978 #>  [26377]  99.98500 100.54352 100.01500 100.42908 100.11493 100.17485 100.36434 #>  [26384]  99.41831 100.13491  99.94498  99.71961  99.78978 100.20978  99.99500 #>  [26391] 100.06498 100.26465 100.43904  99.93998  99.90996  99.92998 100.40916 #>  [26398]  99.64437  99.86992 100.02000 100.10494 100.34441  99.70958 100.14490 #>  [26405] 100.00000  99.61426  99.98000 100.48383  99.44345  99.94498 100.21976 #>  [26412] 100.08996  99.86491  99.76472  99.99500  99.72963  99.68952  99.52889 #>  [26419] 100.17485 100.03499  99.49874  99.94999  99.74467 100.00000 100.08496 #>  [26426] 100.26964  99.72963 100.31949 100.08496  99.63433  99.52387 100.33942 #>  [26433] 100.32447 100.06498  99.64437  99.95999 100.00500  99.90996 100.26465 #>  [26440]  99.78477  99.95999  99.48869  99.75470 100.57833  99.75470  99.81483 #>  [26447] 100.37928  99.90996  99.97000  99.99500  99.88994  99.98500 100.02000 #>  [26454] 100.38426 100.15987 100.30952  99.73966 100.29955 100.20479 100.48881 #>  [26461]  99.84488 100.37928  99.91997  99.87993  99.93998 100.20978  99.55903 #>  [26468]  99.65440  99.74969 100.06498 100.25966  99.97000  99.69453 100.40916 #>  [26475]  99.70958 100.34441 100.25468 100.11493 100.17485 100.17984  99.89995 #>  [26482] 100.00000  99.92497  99.50879 100.01000  99.97500  99.99500 100.25468 #>  [26489]  99.88493 100.02000  99.74467  99.90996  99.49372  99.67447 100.27961 #>  [26496]  99.97500 100.01000 100.09495  99.77976  99.90996 100.00500 100.08496 #>  [26503]  99.90495  99.86992  99.99000  99.73966 100.05998 100.42908 100.35935 #>  [26510] 100.07497  99.98500  99.96499 100.02500 100.02500  99.90495  99.57911 #>  [26517] 100.51368 100.49876 100.21976  99.69955  99.63935 100.09495  99.77976 #>  [26524]  99.75470 100.11493  99.70958 100.14989 100.52363 100.28958 100.84642 #>  [26531] 100.67274 100.05498 100.11993 100.03999  99.91496 100.32447 100.68267 #>  [26538]  99.62429  99.87993 100.70253  99.67949  99.83486  99.81483  99.89995 #>  [26545] 100.07997  99.99500 100.14490  99.90996  99.54898 100.23971 100.02000 #>  [26552] 100.10994 100.24969  99.86491 100.30952 100.26465 100.42410  99.58414 #>  [26559]  99.86992 100.23472  99.94498 100.49876  99.79479 100.03499 100.31949 #>  [26566] 100.33444  99.59920 100.21477  99.90495 100.23971  99.76973 100.08996 #>  [26573] 100.24470  99.90495  99.94498 100.08496 100.05498 100.25468  99.76472 #>  [26580]  99.92497 100.35935  99.61426 100.55844  99.89995 100.60815  99.97000 #>  [26587] 100.19980  99.52387 100.23971  99.74467 100.12492 100.22974  99.84488 #>  [26594]  99.71961 100.27462 100.39920  99.96499 100.07497 100.10994  99.75470 #>  [26601] 100.33942  99.93998  99.93998  99.69453  99.81483  99.90996 100.04999 #>  [26608]  99.80982  99.91997 100.59821 100.46890  99.36800 100.61312 100.63300 #>  [26615]  99.91496 100.20479  99.78978 100.37928 100.10494 100.15488  99.80982 #>  [26622] 100.32447  99.83987 100.08496 100.50373  99.59418 100.19481 100.07997 #>  [26629] 100.17984  99.90996  99.61928 100.22475  99.68450  99.94999 100.16486 #>  [26636] 100.42410 100.61809 100.53358  99.78477 100.30952  99.68450 100.14989 #>  [26643] 100.05998  99.82485 100.00500  99.67949  99.81984 100.14490 100.15987 #>  [26650] 100.33444 100.14989 100.06998  99.85990  99.49874 100.17984  99.47864 #>  [26657] 100.03999  99.67447 100.03499 100.28958  99.73465 100.00500 100.21976 #>  [26664] 100.18982  99.68952  99.98000  99.88994 100.27462 100.19980  99.81483 #>  [26671] 100.13491  99.93498  99.71961 100.11993 100.57833  99.71961  99.98500 #>  [26678] 100.04499 100.08496  99.72462  99.71459  99.72462  99.94498 100.11493 #>  [26685] 100.02500 100.09995  99.83486 100.11493  99.82986 100.61312 100.01000 #>  [26692] 100.07997  99.38813 100.24470  99.64437  99.95999 100.24969  99.78477 #>  [26699] 100.00500 100.34939 100.10494 100.26964 100.37928  99.78477 100.45895 #>  [26706]  99.90996 100.05998  99.92497  99.41328  99.78978  99.74467 100.01500 #>  [26713]  99.45853  99.88994  99.95999 100.25468 100.12992  99.40322  99.57409 #>  [26720]  99.77976  99.64437 100.82658  99.96499  99.92497 100.11493  99.68450 #>  [26727] 100.30454 100.27961 100.23971 100.17984 100.68764 100.21976 100.16986 #>  [26734] 100.19980  99.70958 100.52860 100.52363 100.17485  99.94999  99.81984 #>  [26741]  99.63935  99.93998 100.45895 100.52363 100.10494  99.77475 100.13491 #>  [26748]  99.71459 100.21976  99.56907 100.07497  99.72462  99.99500  99.82986 #>  [26755]  99.39819  99.92998 100.30454  99.89995 100.24470 100.14490  99.54898 #>  [26762]  99.87993  99.98500 100.03999 100.02000 100.34939 100.41912 100.08496 #>  [26769]  99.19677  99.63935  99.58414  99.89995  99.96499 100.19980  99.83486 #>  [26776]  99.83987 100.26465  99.49372  99.97000 100.45895  99.91496  99.57409 #>  [26783] 100.21477 100.10994  99.34284 100.47885 100.13491 100.17485  99.43339 #>  [26790] 100.40418  99.70958 100.03000 100.10494  99.86491 100.03499 100.00000 #>  [26797]  99.73966  99.81984 100.08496 100.38924 100.62306 100.48881 100.00500 #>  [26804]  99.51382 100.40916  99.48367  99.90495 100.19481  99.79479  99.88994 #>  [26811]  99.67447 100.17984  99.90495 100.33942 100.40418 100.02500  99.48367 #>  [26818]  99.97000 100.21976 100.11493 100.28958 100.03999 100.36932 100.19481 #>  [26825]  99.34284 100.05998 100.05498 100.24470 100.40418 100.05498 100.04499 #>  [26832] 100.07497 100.07997  99.88493 100.31949  99.61426 100.55347 100.37928 #>  [26839]  99.23205 100.18982 100.09995 100.37430  99.96499 100.34441 100.00000 #>  [26846] 100.00500 100.20479  99.39819  99.88493 100.52860  99.60422 100.27462 #>  [26853] 100.03499 100.33444  99.95499  99.63935 100.09495  99.86992  99.29753 #>  [26860]  99.71961  99.97000 100.22475  99.71459 100.17485  99.91496 100.06998 #>  [26867]  99.92998 100.11993  99.64939  99.58414 100.00000 100.04499 100.35437 #>  [26874]  99.78477 100.02500 100.37430  99.66444 100.22974  99.85990 100.14490 #>  [26881]  99.85489 100.40916 100.12992 100.02000 100.05998 100.32946  99.78477 #>  [26888] 100.21976  99.91997 100.19980  99.39316  99.68450 100.03999 100.23472 #>  [26895] 100.26964  99.93998 100.38924 100.49378 100.39422 100.03000  99.82986 #>  [26902] 100.09995 100.12492  99.58916 100.05998 100.16486 100.21976  99.43339 #>  [26909] 100.31949  99.17661 100.30952 100.10494  99.67949 100.11993  99.80982 #>  [26916] 100.11493 100.03000  99.60422  99.60924  99.67447  99.88493 100.67770 #>  [26923] 100.53358  99.93498  99.84989 100.28958 100.11993 100.01500 100.21976 #>  [26930] 100.04999  99.45853 100.27961 100.04999  99.94498  99.89494  99.79980 #>  [26937] 100.13491 100.34939 100.04999  99.85990  99.57911 100.24969 100.24470 #>  [26944]  99.98500  99.77976  99.73465 100.04499  99.84989 100.09995 100.03000 #>  [26951]  99.53894  99.89995 100.01500 100.13491  99.92998  99.71459  99.54898 #>  [26958]  99.97500 100.25966 100.02000 100.59821  99.88493 100.08496 100.37928 #>  [26965] 100.39920  99.68450 100.23472 100.52363 100.06998 100.02500 100.33444 #>  [26972]  99.71961  99.89494  99.62931  99.85489  99.45853 100.22974 100.04499 #>  [26979]  99.92998  99.91997 100.20479 100.35437 100.12992 100.37430 100.23971 #>  [26986]  99.86992 100.03499 100.05498 100.20479  99.83987 100.08996 100.43904 #>  [26993]  99.57409 100.26465  99.93498 100.38426 100.41414  99.51382 100.08996 #>  [27000] 100.02500  99.79980 100.05998 100.03000  99.94498 100.44401  99.94999 #>  [27007]  99.79980  99.57409 100.27961 100.51865  99.84989  99.62429 100.23472 #>  [27014] 100.02000 100.05498 100.10494 100.38426  99.96499  99.90495  99.50377 #>  [27021]  99.68450  99.89494 100.08496  99.95999  99.99500  99.49874  99.98500 #>  [27028]  99.79980 100.10494  99.64437  99.80481 100.34441 100.02500 100.39920 #>  [27035] 100.14989  99.90495  99.80481 100.50373 100.12492 100.16486 100.07997 #>  [27042] 100.16486  99.80982 100.63797  99.88994  99.57409  99.29250  99.80982 #>  [27049] 100.48881 100.57833 100.10994 100.06998  99.98500 100.56341 100.17485 #>  [27056] 100.21976 100.37928  99.85489 100.35935 100.33942 100.05998 100.01000 #>  [27063]  99.89995 100.37430 100.33942  99.59920  99.61928 100.41912 100.38924 #>  [27070] 100.09995  99.33781  99.36800 100.38924 100.08996 100.07997  99.27739 #>  [27077]  99.75470  99.87993 100.03499  99.92497 100.36434 100.15488 100.55844 #>  [27084] 100.43904 100.35437 100.48383  99.81483  99.57911  99.82986  99.90996 #>  [27091]  99.95499 100.04499  99.90495 100.15987  99.76472 100.59821 100.17984 #>  [27098] 100.38426 100.45895  99.92998  99.72462  99.72462 100.12992 100.51865 #>  [27105] 100.21976 100.03999 100.08996  99.74969 100.69757  99.68952  99.68450 #>  [27112] 100.35935  99.53894 100.16986  99.96499  99.89995  99.38310 100.01000 #>  [27119]  99.75470  99.48367 100.14490  99.86491 100.26964  99.97000  99.70958 #>  [27126] 100.08496 100.03000  99.67949  99.95499 100.26964  99.71961 100.04999 #>  [27133]  99.68450 100.00000 100.16486 100.06498 100.00000  99.75470 100.30454 #>  [27140] 100.18982 100.12492  99.82986  99.86992  99.87492 100.10494 100.18483 #>  [27147] 100.21477  99.62931 100.08996  99.85990  99.75470  99.54898  99.80982 #>  [27154] 100.20479  99.24717  99.67949  99.92497  99.85990 100.03999  99.44345 #>  [27161] 100.06998 100.30952 100.55347 100.19980 100.10994  99.50377 100.08996 #>  [27168]  99.91997  99.67949  99.72963  99.84488  99.95499  99.98500  99.71961 #>  [27175]  99.73966  99.99000 100.02000 100.10994  99.73966  99.83987  99.82986 #>  [27182] 100.58827  99.90996 100.21477  99.82485 100.16986  99.95999 100.20479 #>  [27189]  99.85990  99.94999 100.26465 100.01500  99.81483 100.28958  99.71459 #>  [27196]  99.68952 100.19980  99.83987  99.82485 100.11993 100.00000  99.58414 #>  [27203]  99.93998 100.64293  99.41831 100.30454 100.03999 100.08996  99.66444 #>  [27210]  99.66945  99.57911  99.99000 100.31451 100.22475  99.94999 100.35935 #>  [27217]  99.76973  99.85489 100.07497 100.35935  99.63935 100.26465 100.65784 #>  [27224] 100.39920  99.86491 100.20479  99.73966 100.37928  99.91997 100.38426 #>  [27231]  99.64437  99.78978  99.71459  99.47864  99.96499 100.01000 100.09995 #>  [27238] 100.39920  99.76472 100.35935  99.50879  99.35794  99.94498 100.30454 #>  [27245]  99.98000  99.61928  99.70456  99.98500  99.77976  99.90996 100.18982 #>  [27252] 100.04499  99.80481 100.18483  99.91997 100.40916 100.28460  99.67447 #>  [27259]  99.66444  99.79479 100.00000 100.20978  99.99500  99.81483 100.38426 #>  [27266] 100.36434  99.98000  99.38813  99.47864  99.60422  99.80982  99.71961 #>  [27273]  99.79980  99.68952  99.94999 100.56838 100.48383  99.87993  99.70958 #>  [27280] 100.09495 100.20978 100.81667  99.92497 100.08496 100.08996 100.02500 #>  [27287]  99.72462  99.89494 100.42410 100.22974  99.72963  99.56907 100.30454 #>  [27294] 100.34939 100.64293 100.21976 100.28958 100.40418 100.02000  99.79980 #>  [27301]  99.84488  99.76472  99.99500  99.66945  99.76973  99.49874 100.20479 #>  [27308] 100.04499 100.26465  99.44345  99.79980 100.02000 100.41414 100.05998 #>  [27315] 100.35935  99.59920  99.95499  99.93998 100.18982  99.83987  99.63433 #>  [27322]  99.93498  99.69955 100.02500  99.60422 100.27462 100.50373  99.80982 #>  [27329]  99.63433 100.04999  99.72963 100.16486 100.43904  99.98000  99.60924 #>  [27336]  99.99000  99.78477  99.71961 100.20978 100.13990 100.33942 100.01500 #>  [27343] 100.32447  99.33781 100.03999 100.21976  99.65942  99.53894 100.26964 #>  [27350] 100.73728 100.28460  99.65440  99.97500 100.21477 100.11493 100.26465 #>  [27357] 100.03499  99.69955  99.89494 100.31949  99.84488  99.88994 100.50871 #>  [27364]  99.93498  99.74467 100.32447  99.47361  99.76472  99.77976 100.26465 #>  [27371] 100.09495 100.07997 100.19481 100.15488  99.87492 100.19481 100.13491 #>  [27378]  99.94498  99.98000 100.49378 100.03499 100.19980 100.03499 100.18483 #>  [27385]  99.31264 100.04999 100.04999 100.17984  99.49372 100.44899 100.06998 #>  [27392] 100.39422 100.04499 100.36932 100.37430  99.62429 100.10494 100.29457 #>  [27399] 100.23971  99.58414 100.16986 100.10494 100.42410  99.65942  99.62429 #>  [27406]  99.68450  99.88493  99.61928  99.55903 100.06998  99.73465  99.43339 #>  [27413] 100.09995 100.12992  99.50879 100.18483  99.73966 100.32447 100.07997 #>  [27420] 100.39422 100.31949 100.01000 100.02000 100.02000  99.62429 100.24470 #>  [27427] 100.43904  99.84989  99.90495 100.61312 100.15987 100.16986 100.39920 #>  [27434]  99.81984 100.05498  99.96499  99.94498 100.30952 100.18982  99.62931 #>  [27441]  99.97500  99.74969  99.93498 100.06998 100.30952 100.05998  99.65440 #>  [27448]  99.50377  99.67949 100.08496  99.91997  99.68952  99.84488 100.13990 #>  [27455] 100.12992  99.84488  99.62931 100.39422 100.43406  99.68952  99.86491 #>  [27462]  99.98000 100.32447 100.08496 100.53358 100.40916  99.52889 100.03999 #>  [27469]  99.61928 100.35935  99.92998  99.77976 100.06998  99.97500  99.98500 #>  [27476]  99.70958 100.06498  99.54898  99.97500 100.33942  99.90996 100.07497 #>  [27483]  99.29250  99.76472  99.58414 100.03499 100.01500 100.12992 100.39422 #>  [27490]  99.86491 100.14490  99.42837 100.38426  99.83486  99.88994 100.26964 #>  [27497] 100.20479 100.16486  99.61928  99.87492  99.88493 100.10994  99.06059 #>  [27504]  99.62429 100.20978 100.34939  99.91997 100.03499 100.11993 100.33444 #>  [27511] 100.37430  99.70456 100.80675  99.60924  99.88493  99.84488 100.14989 #>  [27518] 100.00000 100.10994  99.64437 100.30454  99.79980 100.20479 100.49378 #>  [27525]  99.80481  99.57911 100.20978 100.13990  99.95499 100.04999  99.93998 #>  [27532] 100.18483  99.68952 100.04499  99.58916 100.54850 100.63797  99.82986 #>  [27539] 100.34441  99.75470 100.44899 100.16486 100.16986  99.56907  99.73465 #>  [27546]  99.59418 100.04999  99.82485  99.97500 100.14490 100.47885 100.24969 #>  [27553] 100.37430  99.90996 100.14989 100.10994  99.92497  99.73966  99.69955 #>  [27560]  99.68952 100.28958  99.81483 100.37430  99.44345  99.64437  99.94999 #>  [27567] 100.35935 100.08496 100.08496  99.93498 100.33942 100.27462 100.35935 #>  [27574] 100.39422  99.97500  99.42334 100.09495 100.28958  99.74969 100.10994 #>  [27581]  99.91997 100.14989 100.53855  99.47864 100.29457 100.03000 100.20978 #>  [27588] 100.54352 100.08496  99.72462 100.27462  99.56907  99.88493  99.92497 #>  [27595] 100.11993  99.86491 100.07497  99.71961  99.84488  99.65942  99.85489 #>  [27602]  99.46859 100.00000  99.62931 100.12492 100.10994 100.06998  99.43842 #>  [27609] 100.07497  99.91997  99.50377  99.69453 100.20978  99.90996 100.34939 #>  [27616]  99.95499  99.97000 100.22475 100.31949 100.22475  99.83486 100.11993 #>  [27623] 100.00000  99.69955  99.78978  99.86992  99.98500  99.97500  99.88493 #>  [27630]  99.91496  99.94498 100.34939  99.91997  99.63433  99.93498  99.77475 #>  [27637]  99.75971 100.22475 100.02500  99.90996  99.52387 100.03999  99.90996 #>  [27644] 100.10994 100.10994  99.80982 100.24470 100.37928 100.04499  99.88994 #>  [27651] 100.30454 100.38426 100.07997  99.72462  99.90996  99.98500  99.61426 #>  [27658]  99.76973  99.99000  99.96499  99.70456 100.61312 100.04499  99.89995 #>  [27665]  99.94498 100.08496 100.17984  99.98500 100.33444  99.38813  99.98000 #>  [27672]  99.87993 100.19481  99.59418  99.52387  99.77976 100.08496  99.82986 #>  [27679]  99.86491 100.58827  99.52889 100.22974  99.77475 100.28958 100.18483 #>  [27686]  99.56907 100.05498 100.06998  99.96499 100.62803  99.99500  99.97000 #>  [27693]  99.84989 100.19481 100.21477 100.30454  99.98500  99.48367 100.13491 #>  [27700] 100.08496  99.40825  99.77976  99.81483  99.83987 100.07997 100.06498 #>  [27707]  99.90996 100.07997 100.09495 100.23971 100.27961  99.55903 100.08496 #>  [27714]  99.88994 100.29457  99.73465 100.24969 100.30952 100.15488  99.85990 #>  [27721]  99.88994 100.32946 100.68267  99.64437 100.16486 100.00500  99.63433 #>  [27728] 100.19980 100.01000  99.88994 100.07997  99.93998  99.76472 100.20978 #>  [27735]  99.95499  99.86992  99.78978 100.10494 100.25966  99.86992  99.90996 #>  [27742] 100.08996 100.02000 100.67770 100.17984  99.68450 100.57833 100.13990 #>  [27749]  99.94498 100.21477 100.40916 100.00500 100.44899  99.86992  99.96499 #>  [27756] 100.11993  99.49874  99.99000  99.96499 100.09995 100.01500 100.29955 #>  [27763]  99.54898  99.69453  99.78978  99.93998  99.47864 100.62306 100.02500 #>  [27770] 100.27961  99.51382  99.90996  99.71961  99.40825 100.25966 100.09495 #>  [27777] 100.09995 100.25468  99.54396 100.21976 100.18483 100.22974  99.62931 #>  [27784]  99.64437 100.15987 100.18982 100.00500  99.57409  99.16653  99.63433 #>  [27791]  99.77475 100.01500 100.32946  99.59418 100.00000  99.99500 100.45397 #>  [27798] 100.28958  99.97000 100.34441 100.10994 100.52363  99.88493  99.70958 #>  [27805] 100.12492  99.87492  99.39819 100.65287 100.06498 100.06998 100.66777 #>  [27812]  99.85489  99.86992  99.47864  99.84989  99.93998 100.49378 100.21477 #>  [27819] 100.29955 100.35935  99.37807  99.90495  99.93498 100.17984  99.41831 #>  [27826]  99.52387 100.22475 100.19481 100.49876  99.88994  99.80481  99.92998 #>  [27833] 100.19481 100.21976 100.19980 100.17485 100.13491  99.87993  99.78477 #>  [27840]  99.72462  99.95499 100.25966  99.83486 100.22974  99.88994 100.69757 #>  [27847]  99.94498  99.94498 100.45895 100.55844 100.00500 100.30454  99.55903 #>  [27854] 100.13491 100.07997 100.22475  99.99500  99.70958  99.70958 100.14989 #>  [27861] 100.27961 100.07997  99.49372  99.92497  99.92497 100.10494  99.66444 #>  [27868] 100.14989 100.22475 100.02000 100.00500 100.00500 100.78690  99.87993 #>  [27875] 100.04999  99.87492  99.69453  99.89995 100.40916 100.16986 100.44401 #>  [27882] 100.52860 100.13491 100.14490  99.65440 100.35437  99.73966 100.33444 #>  [27889]  99.70456 100.17984 100.35437  99.89494 100.19481 100.28958  99.79479 #>  [27896]  99.75971 100.00000 100.03999  99.90495  99.78978 100.06498 100.45895 #>  [27903] 100.35935  99.98500 100.24969  99.93998  99.65440  99.92998  99.72963 #>  [27910]  99.76973 100.29457 100.18483 100.39422  99.85990  99.47361 100.09995 #>  [27917] 100.42908 100.24470 100.21976  99.51884  99.30760 100.62306  99.73465 #>  [27924] 100.43406  99.43339  99.98500 100.40916  99.87492  99.82485 100.28460 #>  [27931]  99.80982 100.08996 100.10494 100.24969  99.65440 100.41414  99.64437 #>  [27938] 100.31451 100.21976 100.39422  99.76472 100.08996 100.38924 100.20479 #>  [27945]  99.50879  99.94999  99.80481 100.20479  99.58414  99.54898 100.34441 #>  [27952]  99.33277 100.14989  99.44345  99.90495  99.84989  99.87492  99.69955 #>  [27959] 100.37430  99.93998  99.77976  99.75470  99.75971  99.59418 100.03999 #>  [27966] 100.28460 100.55347 100.72735 100.20978  99.44848 100.24470  99.95999 #>  [27973]  99.95999 100.11993 100.17485 100.26964  99.77976 100.47885 100.39920 #>  [27980] 100.11493 100.46890  99.56907 100.15488 100.12992  99.74969 100.00500 #>  [27987] 100.03999 100.23971  99.95499 100.03000  99.78477 100.08496 100.10494 #>  [27994] 100.33942 100.07497 100.05498 100.03000 100.06498 100.72735 100.28460 #>  [28001]  99.64939 100.38426  99.71961 100.01500  99.82485  99.78477 100.21976 #>  [28008]  99.93998 100.41912  99.90996 100.11493  99.69453  99.93498  99.68450 #>  [28015]  99.70456  99.87993 100.26964  99.99000  99.43842  99.87492 100.10994 #>  [28022] 100.38924  99.70958  99.92998 100.04499 100.27462 100.44401 100.00000 #>  [28029]  99.91997  99.94999  99.50879 100.06498  99.98500  99.76472 100.34939 #>  [28036]  99.78477  99.80481 100.51865 100.32447  99.78978 100.13491  99.55903 #>  [28043]  99.99500 100.00000 100.00000  99.71459 100.00500  99.89995 100.16486 #>  [28050] 100.06498 100.45397 100.23971  99.72462  99.74969 100.16486  99.37807 #>  [28057]  99.88994 100.16986 100.22974  99.69453  99.59418  99.84989  99.59418 #>  [28064] 100.24969  99.98000  99.77475  99.98500  99.90996  99.94498 100.37928 #>  [28071]  99.71459 100.18982 100.50373 100.20978  99.94498 100.34939  99.98000 #>  [28078]  99.43339 100.06498 100.19481  99.60422 100.13491  99.93998 100.11493 #>  [28085] 100.31949 100.67274 100.07997  99.79980  99.84989 100.03000 100.19481 #>  [28092]  99.68952 100.00000 100.22475  99.29250 100.22974 100.00500 100.38426 #>  [28099]  99.87993 100.09495 100.11993 100.32447 100.11493  99.82986 100.18483 #>  [28106]  99.74969  99.95499  99.84488 100.01500 100.21976  99.99500 100.23472 #>  [28113]  99.99500 100.43904 100.08996 100.09495  99.63433  99.51884 100.17485 #>  [28120] 100.42908 100.59324 100.19980  99.81483 100.45397 100.23971  99.73966 #>  [28127]  99.53391  99.96499  99.58414  99.78477 100.01500 100.22974  99.97500 #>  [28134]  99.81483  99.69453  99.86491 100.19980  99.65942  99.84989  99.86491 #>  [28141]  99.68450  99.99000  99.88493  99.78978 100.00500 100.00500  99.80982 #>  [28148] 100.02500  99.65440 100.10994  99.95999 100.06498  99.95999  99.89995 #>  [28155]  99.65942 100.14989 100.05998  99.76472  99.90996 100.27961  99.27739 #>  [28162]  99.50377  99.74969  99.71459  99.46356  99.56405 100.19481  99.74969 #>  [28169]  99.79479  99.73465  99.90495 100.38924  99.80481  99.58414  99.79980 #>  [28176]  99.86992  99.87993 100.24969 100.55347 100.32447  99.97500 100.20479 #>  [28183]  99.95499  99.99500 100.02500  99.65440 100.28958 100.27961 100.18982 #>  [28190] 100.22475 100.22974 100.05998 100.26465 100.02000 100.58827 100.54850 #>  [28197] 100.48383 100.24470  99.89995 100.37928 100.04499  99.65942  99.98000 #>  [28204] 100.11993 100.08496  99.96499 100.32946  99.69955  99.93498  99.98500 #>  [28211]  99.76973  99.60924  99.65942  99.93998 100.49876 100.06998  99.79980 #>  [28218]  99.84989 100.30454  99.78978  99.90996  99.53391 100.40916  99.45351 #>  [28225]  99.95999 100.04499 100.16986  99.82485 100.08996  99.77976 100.01000 #>  [28232] 100.60815 100.56341  99.67949 100.09495 100.53855 100.13491 100.33942 #>  [28239] 100.08996 100.19980  99.60924  99.69453  99.44848  99.78477 100.35437 #>  [28246]  99.82986 100.23472 100.02500 100.35437 100.06498  99.56405  99.35794 #>  [28253]  99.71961 100.16486 100.00500  99.95999 100.04999  99.40825  99.71459 #>  [28260] 100.00500  99.62931 100.29457 100.14490 100.00500  99.84488 100.11493 #>  [28267]  99.91496 100.21477  99.89494 100.32946 100.06998 100.18982  99.90495 #>  [28274]  99.86992 100.01000 100.29457 100.04499  99.49874 100.50373 100.43904 #>  [28281]  99.80481  99.74467  99.92497  99.72462  99.73465 100.26465  99.90495 #>  [28288]  99.65942 100.47388  99.98000 100.26465  99.73966  99.55401 100.08496 #>  [28295] 100.58827 100.08996  99.98500 100.03000  99.91997 100.19481  99.65942 #>  [28302] 100.00500  99.52889 100.07497 100.02000  99.93998 100.47885 100.20978 #>  [28309] 100.07997  99.91997  99.64939 100.18483 100.56341  99.72963 100.40418 #>  [28316] 100.17485  99.72963  99.71961  99.71459 100.50871 100.23971  99.84989 #>  [28323] 100.17485  99.78477 100.04499  99.76973  99.46356  99.78477 100.36932 #>  [28330]  99.28746  99.74969  99.93498  99.51884  99.78477 100.26465  99.46356 #>  [28337]  99.64437  99.67447 100.25966 100.32447 100.20978 100.04999  99.59418 #>  [28344] 100.03999  99.69955  99.87492  99.76973 100.20978  99.98500  99.59920 #>  [28351]  99.84989  99.69955 100.36434 100.29457 100.10994  99.66945  99.45853 #>  [28358] 100.56341 100.08996  99.92998  99.79980  99.59418  99.44848  99.55903 #>  [28365] 100.19980  99.62931 100.33942 100.30952 100.01500 100.36932  99.72462 #>  [28372] 100.01000  99.86491 100.33942  99.88994  99.72462 100.40418  99.98500 #>  [28379] 100.35437  99.46859 100.38426 100.28460  99.36800  99.79479 100.06998 #>  [28386]  99.96499  99.99500 100.19481  99.84488 100.20479 100.08996  99.91496 #>  [28393]  99.85990  99.70958  99.52889 100.12992  99.81984 100.40418 100.34939 #>  [28400]  99.59418  99.65942  99.85990  99.78477  99.88493 100.53358  99.93498 #>  [28407] 100.04999  99.98500 100.13990 100.00000  99.76973  99.83987 100.38924 #>  [28414] 100.27961  99.97000  99.64437 100.47388 100.03000  99.75971  99.90996 #>  [28421]  99.94999 100.31451 100.18483  99.72963  99.56907  99.54898  99.43842 #>  [28428]  99.88994  99.70456 100.19980 100.61312 100.21477  99.80481 100.36932 #>  [28435]  99.89995 100.14490  99.92998  99.59418  99.73966 100.21477 100.22974 #>  [28442]  99.58414 100.01000  99.70456 100.29457 100.35935  99.80481 100.17984 #>  [28449] 100.28460 100.02000 100.15987 100.16986  99.67949 100.27462 100.23472 #>  [28456]  99.89494  99.86491  99.95999 100.49378 100.08496 100.03999 100.37430 #>  [28463] 100.13990 100.21477 100.13990  99.87492 100.65784 100.09495  99.71961 #>  [28470]  99.92998 100.14989 100.34441 100.18483 100.11993 100.23971  99.75470 #>  [28477] 100.81171  99.81984  99.69453  99.63433 100.22974  99.76973 100.40916 #>  [28484]  99.49372  99.69955 100.06998 100.69757  99.63935  99.99000  99.79980 #>  [28491]  99.80481  99.82485  99.93498  99.86491  99.59418  99.56405  99.66444 #>  [28498]  99.59920 100.30952  99.81984 100.18982  99.86491  99.74969  99.90996 #>  [28505] 100.18982  99.77475 100.11493  99.81984 100.11993 100.16986 100.53358 #>  [28512] 100.06998 100.06498 100.05998 100.28460 100.52860  99.75470  99.90495 #>  [28519]  99.95499 100.33444 100.44899 100.19980 100.46392  99.23709  99.67447 #>  [28526]  99.78978 100.18982 100.14490  99.77475  99.33277  99.94999  99.77475 #>  [28533] 100.08996 100.03000 100.67770 100.71743  99.19677 100.19481  99.98000 #>  [28540]  99.76973 100.00500 100.39422  99.86491 100.09495 100.02500 100.39422 #>  [28547]  99.80982 100.33444 100.34441 100.11493 100.50871  99.97500  99.98500 #>  [28554] 100.44401  99.83987 100.30952  99.75971  99.95999  99.81984 100.11493 #>  [28561]  99.71961  99.66444  99.64939 100.26964 100.13491  99.89494  99.98500 #>  [28568]  99.88994 100.01000 100.41414 100.20978 100.36932 100.33444  99.27739 #>  [28575]  99.37303 100.19481  99.64437  99.60924  99.92998  99.79980 100.02500 #>  [28582]  99.80982  99.98500 100.43904  99.90996  99.71961  99.80982 100.20479 #>  [28589] 100.39422 100.06498  99.86491  99.66444  99.68450 100.05498  99.94498 #>  [28596]  99.69955 100.32946 100.10994 100.36932  99.90996 100.61312  99.95999 #>  [28603]  99.74969 100.02000 100.00500  99.62931  99.73966 100.18483 100.52363 #>  [28610] 100.27462  99.36800 100.11993  99.94498 100.41414  99.65942  99.76472 #>  [28617] 100.05998 100.05998  99.45853  99.74969  99.64939 100.17485 100.28958 #>  [28624] 100.17984  99.84488 100.03000  99.51382 100.04499  99.56405 100.10994 #>  [28631] 100.13990 100.02500 100.35935  99.69453 100.21976 100.24470  99.67949 #>  [28638] 100.40418  99.81984  99.73465 100.04499 100.37928 100.26465 100.38426 #>  [28645]  99.85489  99.99500 100.01000  99.93998  99.92497 100.39920  99.83486 #>  [28652]  99.89494  99.81984 100.45895  99.43842 100.39422  99.75470  99.66444 #>  [28659] 100.21976 100.27462 100.10994 100.27462  99.58916  99.82485 100.36932 #>  [28666]  99.82986 100.36932 100.12492 100.15987 100.24470  99.70958  99.76472 #>  [28673]  99.70456  99.72963 100.00500 100.61809 100.31949 100.08996  99.94999 #>  [28680]  99.77475  99.91997 100.01500  99.88493  99.59920  99.81483  99.66945 #>  [28687]  99.93998 100.20479 100.42410  99.58916  99.90996 100.20978  99.71961 #>  [28694] 100.03000  99.14636  99.68952 100.02000 100.17984 100.70750 100.34441 #>  [28701]  99.56405  99.67447 100.65784 100.24969  99.82485  99.90495 100.40418 #>  [28708] 100.68764 100.43904  99.67949 100.21976  99.62931  99.93998 100.45895 #>  [28715]  99.65942 100.05998 100.00000 100.03499  99.83987 100.12492  99.72462 #>  [28722]  99.85489 100.01500 100.12992 100.06998  99.67949 100.05498 100.44401 #>  [28729] 100.07997 100.18982  99.97500  99.56405 100.08996 100.38426 100.26964 #>  [28736] 100.41912 100.06998  99.49372 100.09495  99.96499  99.95999 100.06498 #>  [28743]  99.98000 100.26964 100.04499 100.30952 100.27462 100.33942  99.45351 #>  [28750]  99.79980 100.13990 100.13491 100.13990 100.22974 100.21976 100.03999 #>  [28757] 100.45895  99.79980 100.00000  99.82485  99.85990  99.73465  99.87993 #>  [28764]  99.66444 100.40418 100.19980 100.00000 100.14989 100.30952  99.94999 #>  [28771]  99.90996 100.16986  99.79980 100.14989 100.11993  99.48869  99.67447 #>  [28778] 100.53358  99.98500  99.76472 100.03499 100.28460  99.98000 100.21976 #>  [28785] 100.37928  99.64437 100.20978 100.12492 100.35935  99.73966  99.99000 #>  [28792] 100.36932  99.99000  99.93998 100.44899 100.29955  99.27739  99.75971 #>  [28799] 100.03000  99.64939  99.90996  99.70456  99.46356 100.33444 100.47388 #>  [28806] 100.33942 100.15488  99.77976  99.89995 100.29955 100.25966 100.29955 #>  [28813] 100.02500 100.03999  99.76973  99.75470  99.72462 100.18982  99.66945 #>  [28820]  99.68952  99.60422  99.65942  99.87492  99.74467 100.04499 100.35437 #>  [28827] 100.03999 100.52363 100.48383  99.94498  99.50377 100.18982 100.53855 #>  [28834]  99.75971 100.04999  99.84488  99.86491 100.07997  99.84488 100.00000 #>  [28841] 100.22475  99.74969 100.22974  99.73966 100.20479  99.01515  99.50879 #>  [28848]  99.59920 100.12992 100.04499  99.82485  99.67949  99.62931 100.26964 #>  [28855]  99.74467  99.71459 100.64293 100.36932  99.67949 100.39920 100.57336 #>  [28862] 100.38924  99.84488 100.28958 100.24470 100.15488  99.51884 100.29457 #>  [28869]  99.41831 100.33942 100.01000 100.21976 100.11993 100.17984 100.36434 #>  [28876]  99.81483 100.18483  99.86992  99.67447 100.35437 100.16986  99.79479 #>  [28883]  99.92998 100.05498 100.02000 100.08496  99.84488 100.13491  99.77976 #>  [28890] 100.11493  99.96499 100.13990  99.94498 100.06998 100.04499 100.40916 #>  [28897] 100.51865  99.82986  99.78477 100.39920  99.62931 100.20978  99.38813 #>  [28904]  99.72462 100.61312 100.21477  99.98500 100.03999  99.69453  99.72963 #>  [28911]  99.53894  99.81984 100.25966 100.14490 100.61312 100.08496 100.20978 #>  [28918] 100.17485 100.26964  99.55401  99.75971  99.75470 100.05998  99.91496 #>  [28925]  99.84989  99.74969  99.89494  99.90495 100.34441 100.51368 100.49876 #>  [28932] 100.34441 100.03999  99.89995  99.85990  99.38310  99.87492  99.95499 #>  [28939] 100.24470  99.95499  99.97500  99.97500  99.79479 100.02000  99.94498 #>  [28946]  99.89995  99.84989 100.16986 100.49378  99.80481 100.36932 100.61312 #>  [28953]  99.81984 100.14490  99.72963 100.34441  99.78477 100.51368 100.04999 #>  [28960] 100.28460 100.05998  99.91997  99.31767  99.80481 100.23472 100.08496 #>  [28967] 100.16986  99.99000  99.84989  99.76472  99.87993  99.78477 100.15987 #>  [28974]  99.90996  99.70958 100.55844  99.65440  99.92497  99.99000 100.35935 #>  [28981]  99.80982  99.72462  99.48367  99.56405  99.60422 100.51865 100.45397 #>  [28988] 100.45895  99.75470 100.00500 100.08996  99.77976 100.24969  99.91997 #>  [28995]  99.99500  99.67949  99.92998  99.64939 100.10494 100.25468 100.47885 #>  [29002]  99.69955  99.95499  99.64939 100.20479  99.67949 100.73232  99.72963 #>  [29009]  99.47361  99.57409 100.08996  99.96499  99.71459 100.43904 100.10994 #>  [29016] 100.30454  99.94498  99.77475  99.76973 100.00000  99.92998  99.61426 #>  [29023]  99.57409  99.67447 100.40418 100.11493  99.67447  99.66444 100.15987 #>  [29030]  99.75470 100.48881  99.46356  99.99000  99.61928 100.11493  99.75470 #>  [29037]  99.77976  99.90996  99.98000 100.45397  99.55401 100.28460 100.11493 #>  [29044] 100.27462  99.84989  99.72462 100.35437 100.25966  99.86992 100.31949 #>  [29051] 100.13990 100.14989  99.80982  99.64939 100.50373 100.12492  99.95499 #>  [29058]  99.93498 100.41912  99.66945 100.56838  99.69453 100.10494 100.13990 #>  [29065] 100.03999 100.12992 100.07497 100.22475  99.68952  99.76973 100.06498 #>  [29072]  99.86491  99.74467 100.07997  99.76472  99.04040 100.00000  99.83486 #>  [29079]  99.84989  99.61426 100.32447 100.44401  99.85990  99.78978  99.59418 #>  [29086] 100.01000  99.61928 100.23971  99.87492  99.57409  99.73966  99.87993 #>  [29093]  99.83486 100.36932  99.98500  99.53894 100.09995  99.86491 100.08496 #>  [29100]  99.32271 100.13491 100.18483  99.90495 100.08996  99.85489 100.21976 #>  [29107] 100.01500 100.41912  99.89995  99.86992  99.94999  99.67447  99.72462 #>  [29114]  99.55401 100.09495 100.49876  99.69955 100.11993  99.98000 100.01500 #>  [29121]  99.79980  99.76973 100.16986 100.13990  99.99500  99.97000 100.05998 #>  [29128]  99.92497 100.29955 100.38426  99.72462 100.41414  99.77976  99.90996 #>  [29135] 100.62803  99.84989  99.67447 100.21477 100.03000 100.22974 100.02500 #>  [29142] 100.17984  99.90495  99.84989  99.94498 100.53358 100.43904 100.52363 #>  [29149]  99.48367  99.78477  99.98500  99.97000  99.60924 100.10994 100.03000 #>  [29156] 100.20479  99.95499 100.32946  99.84488 100.13990  99.89494 100.16486 #>  [29163]  99.62429 100.34441 100.08496  99.77475  99.89494  99.60422  99.87993 #>  [29170] 100.20479 100.12492  99.74969  99.84488  99.82485  99.70958  99.90996 #>  [29177] 100.06498  99.75470 100.01000  99.60422  99.70456  99.72462 100.08496 #>  [29184] 100.06498  99.54396 100.18982  99.94498 100.08996 100.25468 100.27462 #>  [29191] 100.14989 100.09495 100.24969  99.67447  99.61426  99.89494  99.70456 #>  [29198]  99.91496 100.43904 100.17485  99.77475 100.49378 100.14989  99.55401 #>  [29205]  99.69955  99.59418 100.53358  99.88493 100.08496 100.34441  99.55401 #>  [29212] 100.01500 100.24969 100.35437 100.00500  99.47864  99.69955 100.32946 #>  [29219]  99.77475 100.08496 100.06498 100.09495  99.71459  99.49874 100.21477 #>  [29226] 100.03999 100.57336 100.01500  99.74969 100.17984 100.57833 100.59821 #>  [29233] 100.42908  99.97500 100.45895 100.42908  99.72462 100.28958  99.75470 #>  [29240]  99.98000  99.95499 100.60318  99.76472  99.94999  99.82986  99.83486 #>  [29247]  99.59418 100.34939  99.62429  99.91997  99.68450 100.27961 100.01000 #>  [29254] 100.16986 100.44401  99.99500  99.89995  99.85990  99.95499  99.94498 #>  [29261] 100.52860  99.40825 100.26465 100.04999 100.07497  99.59920  99.74969 #>  [29268]  99.80481  99.54898  99.83987 100.12492 100.20479 100.13990  99.62931 #>  [29275]  99.77475  99.98000 100.32946 100.51865  99.84989  99.70958 100.06498 #>  [29282]  99.90996  99.71961  99.84488  99.57409  99.73966 100.38924  99.58916 #>  [29289] 100.74225  99.40825 100.01500  99.92497 100.05498 100.25468 100.52860 #>  [29296] 100.42908 100.47885  99.53894 100.29955  99.63935 100.34441  99.78978 #>  [29303]  99.55903  99.44848  99.77475 100.35935 100.32447  99.35794 100.12492 #>  [29310]  99.77976 100.42908 100.32447  99.70456  99.74969  99.32271 100.16986 #>  [29317] 100.10994  99.85489  99.62931  99.59920 100.24470 100.09495 100.00500 #>  [29324] 100.17984  99.87492  99.53391  99.84488 100.35437  99.78978 100.10494 #>  [29331] 100.73232  99.92998 100.25966 100.11993  99.75470 100.25468  99.71459 #>  [29338]  99.66945 100.17485 100.13990  99.80481  99.77976  99.61928  99.87993 #>  [29345]  99.73465  99.94999 100.35935 100.17485 100.40418  99.43339  99.85489 #>  [29352]  99.76973  99.92497  99.90495  99.96499  99.35291 100.26465 100.17485 #>  [29359] 100.33942  99.50879 100.54850  99.01515 100.02500 100.32447  99.84488 #>  [29366]  99.74467 100.02000 100.42410 100.03499  99.65942  99.99000 100.11993 #>  [29373] 100.06498 100.55844  99.63935 100.10494 100.01500 100.18483 100.16986 #>  [29380]  99.95499  99.93498  99.91496 100.20978 100.11993 100.43406 100.28958 #>  [29387] 100.33444 100.35437 100.18982 100.28958 100.46392 100.00500 100.20978 #>  [29394] 100.32946  99.98500 100.14490  99.99500  99.77475 100.48383  99.81483 #>  [29401]  99.57911  99.82485 100.21976  99.80481  99.84488  99.68450  99.90495 #>  [29408] 100.49378 100.05998 100.32946  99.48869  99.79980  99.89995 100.33444 #>  [29415]  99.85990  99.92497  99.60924  99.79479 100.19980 100.15987 100.27462 #>  [29422] 100.02000  99.83486 100.05498  99.76973  99.91496 100.22475  99.82986 #>  [29429] 100.21976 100.15488 100.28460 100.31949 100.11993 100.28958 100.03999 #>  [29436] 100.16486  99.72462 100.01500  99.69955  99.71961 100.03999  99.97500 #>  [29443]  99.62429 100.06998 100.32946 100.06998 100.69757  99.95999  99.98500 #>  [29450] 100.52363  99.74467 100.24969  99.93498 100.09995  99.88994  99.77976 #>  [29457] 100.16986 100.24470 100.03999 100.44401 100.16986 100.09995 100.78194 #>  [29464]  99.89995  99.68450 100.00500 100.06498  99.93998 100.43406  99.77475 #>  [29471]  99.94498 100.15488 100.03999 100.19980 100.15488 100.28958 100.18483 #>  [29478]  99.98000 100.13491 100.14490  99.67949  99.81483  99.53391 100.35935 #>  [29485] 100.30454  99.78477 100.18483  99.85489  99.97000  99.88493  99.66444 #>  [29492] 100.16486  99.91997  99.58414  99.98000 100.39422  99.78477 100.15987 #>  [29499] 100.32946 100.01000 100.11993  99.76472 100.18982 100.33444  99.97500 #>  [29506] 100.06998 100.20479 100.01000 100.10494 100.29457  99.88994  99.68952 #>  [29513] 100.58827  99.60422  99.77475 100.06498  99.64939 100.15488 100.01000 #>  [29520]  99.90996 100.27462 100.05998  99.73966  99.65942  99.92998  99.79479 #>  [29527] 100.38426 100.01000  99.90996  99.83486 100.08496  99.72963  99.74969 #>  [29534]  99.71961 100.04499  99.61426  99.59920  99.61928 100.15488  99.65942 #>  [29541] 100.00000  99.93998  99.39819 100.14490  99.31767 100.38924 100.47885 #>  [29548]  99.56907 100.06498 100.07497  99.91997 100.26465 100.23472  99.58414 #>  [29555]  99.63935 100.00500  99.63935 100.19980 100.35437 100.40916 100.16486 #>  [29562] 100.28460 100.07997  99.92998  99.87993  99.69955  99.84989 100.22475 #>  [29569]  99.50879  99.89494 100.38924 100.45397  99.57911  99.96499 100.34441 #>  [29576]  99.96499  99.65440  99.94498 100.42908  99.91997 100.02500 100.14490 #>  [29583]  99.79479  99.81483 100.18982 100.23971  99.74969  99.90996  99.75470 #>  [29590] 100.36932 100.20479 100.33444  99.79479 100.34441  99.62931 100.13491 #>  [29597]  99.70456 100.22475  99.78978 100.18483 100.35437 100.07997 100.17984 #>  [29604] 100.46392  99.81984  99.79479  99.77976  99.83486 100.05498  99.41831 #>  [29611] 100.21976 100.06998  99.90495  99.68952 100.04999 100.09995  99.64437 #>  [29618] 100.14490 100.58330 100.28958 100.54352 100.03499 100.70253 100.01000 #>  [29625] 100.32946 100.07997 100.03000 100.32447 100.06498 100.10994 100.27462 #>  [29632] 100.28958  99.99000  99.09087 100.31451  99.81984  99.86992 100.20978 #>  [29639]  99.50377 100.12992 100.10994  99.71459 100.20479 100.02000  99.76472 #>  [29646] 100.32946  99.58414  99.76973 100.30952 100.06498  99.79980 100.40418 #>  [29653]  99.87492 100.20978 100.18483  99.68952  99.45351 100.16986  99.86992 #>  [29660]  99.72963 100.46890 100.21477  99.85990 100.07497  99.76973 100.60815 #>  [29667] 100.13491 100.03999  99.95499 100.12992 100.08496  99.84989 100.01000 #>  [29674]  99.59920  99.92497 100.70750  99.55401  99.89995 100.46890  99.87492 #>  [29681] 100.19481  99.67447 100.52363  99.60924 100.26465 100.02000  99.55401 #>  [29688]  99.88493  99.77976 100.77698  99.62429  99.84989 100.08996  99.49874 #>  [29695]  99.39316 100.03999 100.16986  99.41328  99.95499 100.51368  99.70456 #>  [29702] 100.05498  99.98000 100.20978 100.05998  99.84488  99.88994  99.99000 #>  [29709]  99.73465  99.63935 100.26465  99.18165  99.99500 100.40418 100.10494 #>  [29716]  99.95499  99.96499  99.67949 100.08496  99.67447 100.05998 100.54850 #>  [29723] 100.41414  99.50879 100.49876  99.89995  99.77475 100.24969  99.82485 #>  [29730] 100.24470  99.86992 100.26964 100.05998 100.46890 100.14490  99.91997 #>  [29737] 100.24969 100.28460  99.99500  99.53391  99.69453  99.94498 100.22475 #>  [29744] 100.52860  99.69453 100.08496 100.01500  99.89494 100.03999  99.91496 #>  [29751] 100.16986  99.93498  99.85990  99.85489 100.25468 100.18982  99.98000 #>  [29758] 100.23971  99.97000  99.62931 100.02000 100.09995  99.82485  99.96499 #>  [29765]  99.92497  99.83987  99.81984  99.85489 100.18982  99.75470 100.02500 #>  [29772] 100.01000  99.90996 100.30952  99.76973  99.80481 100.30454 100.40418 #>  [29779] 100.15987 100.43406 100.48881  99.96499 100.20978  99.67949 100.45895 #>  [29786]  99.76973  99.49372  99.58916  99.62931 100.23472 100.05498 100.29457 #>  [29793] 100.23971 100.04499 100.33942  99.82986  99.54898  99.83987 100.20978 #>  [29800]  99.78978  99.75470 100.03999  99.98000  99.65942 100.15488  99.98000 #>  [29807] 100.21976  99.87492  99.58414  99.95999  99.99500  99.71459  99.83987 #>  [29814] 100.01000 100.12492  99.65942 100.16486  99.93498 100.15987 100.67274 #>  [29821] 100.39920 100.26964  99.81483  99.84989  99.93498  99.99500 100.03499 #>  [29828]  99.76973 100.11993  99.98000 100.03499  99.95499  99.37303  99.74969 #>  [29835]  99.82986 100.35935 100.15488  99.68450  99.91997 100.29457  99.92497 #>  [29842] 100.28460 100.23971 100.30454  99.81483 100.51865  99.80982  99.65942 #>  [29849] 100.16986  99.46356  99.81483 100.48383  99.92497 100.11993  99.95999 #>  [29856] 100.28460 100.02000  99.70958  99.90996 100.14490  99.84488 100.30952 #>  [29863] 100.00500 100.18982 100.09995 100.16486  99.95999  99.53894 100.01000 #>  [29870] 100.01000 100.38426 100.01000 100.76210  99.88493  99.89494 100.29955 #>  [29877]  99.98500  99.68450 100.22475  99.55401  99.87993 100.16986 100.28460 #>  [29884]  99.54396 100.23971 100.07997 100.04999 100.82658  99.88994 100.01000 #>  [29891] 100.06998 100.26465 100.26964  99.84488  99.77976  99.86491  99.19677 #>  [29898] 100.00500 100.02000  99.95499  99.69955 100.15488 100.49378 100.29457 #>  [29905]  99.79980 100.03999 100.55347  99.78978  99.82485  99.35291 100.03499 #>  [29912] 100.63300  99.83987  99.94999  99.79479 100.39422  99.85489 100.36932 #>  [29919]  99.85489  99.68952  99.93998  99.90996 100.21477  99.98500 100.07997 #>  [29926] 100.14989  99.97500  99.88994 100.15987 100.39422 100.18483  99.89995 #>  [29933] 100.12492 100.40418 100.00500 100.30454  99.93998 100.08996  99.46356 #>  [29940] 100.12492 100.03499 100.03999  99.93998 100.00500 100.03000 100.22974 #>  [29947]  99.80982 100.23472  99.42334  99.45853  99.96499  99.72963 100.51368 #>  [29954] 100.56838  99.27739 100.08996  99.83486 100.09495  99.44345  99.95999 #>  [29961]  99.53391  99.85489  99.75971 100.43406  99.59920 100.56838 100.17984 #>  [29968]  99.62429 100.05498  99.83486 100.45895  99.79479 100.31451  99.54396 #>  [29975]  99.72963 100.34441  99.85489  99.50879  99.40322 100.22475 100.20479 #>  [29982] 100.20978  99.66945 100.58827 100.46392 100.53358  99.94498  99.65942 #>  [29989] 100.23472  99.78978 100.08496  99.94498 100.37430  99.66444 100.02500 #>  [29996]  99.51382 100.67274 100.20978 100.22475 100.08996  99.90495 100.28958 #>  [30003]  99.99000 100.29457 100.52363  99.88994  99.65440  99.32774  99.81483 #>  [30010]  99.95999  99.91997 100.30454  99.80982  99.95999 100.16986 100.34441 #>  [30017] 100.24969  99.63433 100.03000 100.33444  99.87993  99.78978  99.67949 #>  [30024]  99.66444 100.60318 100.39920  99.72462 100.08496  99.88994 100.24969 #>  [30031]  99.99000  99.96499 100.21976 100.23971 100.23472  99.80982  99.83987 #>  [30038] 100.27961  99.63935 100.19980 100.29955  99.81984  99.37807  99.51382 #>  [30045]  99.86491  99.98500 100.30454  99.63935 100.45895  99.84989 100.22974 #>  [30052]  99.64437 100.08996  99.86992 100.25468  99.56907 100.30454  99.69453 #>  [30059]  99.97000 100.44401 100.00000  99.66444  99.71459 100.31949 100.45895 #>  [30066] 100.19481  99.80982  99.77976 100.19980  99.58414 100.14490  99.98500 #>  [30073] 100.04999 100.31949  99.83987 100.40418 100.10994  99.76973  99.73966 #>  [30080] 100.21976 100.24969  99.62931  99.56907  99.78978 100.06998 100.47885 #>  [30087] 100.36932  99.86491  99.81984  99.93498  99.83486  99.79479  99.87492 #>  [30094]  99.89995  99.82986  99.59418  99.92998 100.31949  99.98500  99.47864 #>  [30101] 100.51865  99.91997  99.38310  99.97000  99.95499 100.35437 100.02000 #>  [30108]  99.69453  99.96499  99.65942  99.98000 100.17485 100.26465 100.23971 #>  [30115] 100.09495 100.21477  99.58916  99.94498  99.86491 100.11493  99.85489 #>  [30122]  99.75971 100.03999  99.90996 100.00500 100.04499  99.56405  99.98500 #>  [30129] 100.15488 100.29955  99.85489  99.74467  99.99500  99.97000  99.92998 #>  [30136] 100.73728  99.85990  99.42837 100.12492 100.08996 100.46392 100.40916 #>  [30143] 100.13491  99.95499  99.76472 100.09995  99.82485 100.33444 100.74225 #>  [30150]  99.98500 100.69260 100.00500  99.90996 100.29955 100.14490 100.33444 #>  [30157]  99.72963  99.73465 100.18982 100.05998 100.15488 100.24470 100.67770 #>  [30164] 100.06498 100.10494  99.85990 100.10494  99.43842 100.25468 100.48881 #>  [30171]  99.89494 100.39920  99.71459 100.36932  99.71459 100.50373  99.98500 #>  [30178]  99.86992  99.53391 100.32946  99.75971  99.71459 100.26465  99.84989 #>  [30185] 100.36434 100.36434 100.41414 100.61809  99.59418 100.04499 100.16486 #>  [30192] 100.08996 100.33444 100.10494 100.07997  99.99000  99.81483 100.03999 #>  [30199] 100.04499 100.48383 100.56838  99.97500 100.17984 100.05998  99.36297 #>  [30206] 100.04999 100.09995  99.93498 100.02000  99.77475  99.88994  99.93498 #>  [30213] 100.40418 100.67274 100.01000 100.34441 100.52860  99.67447  99.78978 #>  [30220]  99.89494  99.60924 100.19481  99.70456  99.56405 100.25966 100.13990 #>  [30227]  99.82986  99.84989 100.33942 100.12992  99.95499  99.67447  99.50377 #>  [30234]  99.67447  99.62931 100.03000 100.26964  99.90996  99.34787 100.47885 #>  [30241] 100.25468  99.86992 100.04499 100.28958 100.12992 100.12492  99.52387 #>  [30248] 100.26465 100.18483  99.91997  99.95999  99.98000 100.08496  99.97000 #>  [30255] 100.06998  99.94999  99.46356  99.41328 100.31949  99.58414 100.07497 #>  [30262] 100.49876 100.04999 100.06998 100.32447 100.03999  99.97000  99.73465 #>  [30269] 100.43904  99.90996 100.09995  99.60422 100.07497  99.45351 100.31451 #>  [30276]  99.74969  99.63433 100.05998 100.65784  99.84989 100.29457 100.18483 #>  [30283] 100.63300 100.49378 100.26465  99.63935  99.49874 100.75713 100.29457 #>  [30290] 100.05998 100.07497  99.61426 100.18483 100.17485  99.87993 100.36434 #>  [30297] 100.51368 100.00000 100.54850 100.03499  99.69453 100.24470  99.93998 #>  [30304] 100.45397 100.13990  99.91496  99.86491 100.50871  99.48367 100.26465 #>  [30311] 100.16486 100.56838 100.10994 100.08496  99.83987  99.90495  99.69955 #>  [30318] 100.57833 100.42410 100.72239 100.23971 100.03999 100.14490 100.61312 #>  [30325]  99.86992  99.94999  99.94498 100.08996  99.94999  99.34284  99.71459 #>  [30332] 100.31451  99.83987 100.11493 100.46890 100.20479  99.93498  99.66945 #>  [30339] 100.39422  99.51884 100.06498  99.91496  99.97000 100.01500  99.96499 #>  [30346] 100.26964  99.87993 100.33444 100.37430 100.22974  99.76973  99.67447 #>  [30353] 100.38924  99.62429 100.47885 100.52363  99.52387 100.40418 100.05998 #>  [30360] 100.02000 100.43904 100.20978  99.71961 100.27961 100.30952  99.74467 #>  [30367]  99.57911 100.44899  99.57911 100.36434  99.89995  99.64939  99.87993 #>  [30374]  99.88493  99.83486 100.21477  99.95499  99.41831 100.24969  99.96499 #>  [30381] 100.47388  99.98000 100.28958 100.39920  99.60422 100.20479 100.32946 #>  [30388]  99.64939  99.71961  99.92497 100.00500 100.18483  99.88493 100.36434 #>  [30395] 100.31451 100.21477 100.65784  99.73966 100.00000  99.94999 100.13990 #>  [30402] 100.11493 100.51368 100.30952  99.51884 100.24470 100.43904  99.69955 #>  [30409]  99.89995 100.08496 100.13491  99.88493 100.48383  99.92497  99.89995 #>  [30416]  99.87492 100.09995  99.76472 100.07497 100.20978 100.19481  99.88994 #>  [30423] 100.55347 100.14989 100.10994  99.27235  99.76472 100.04499  99.95999 #>  [30430] 100.00000 100.03000  99.79479  99.62931 100.27462  99.57409  99.60422 #>  [30437]  99.80982 100.36932  99.66945  99.79479 100.32946 100.35935 100.34441 #>  [30444] 100.08496  99.76973 100.01000  99.82986 100.35437 100.37928  99.66444 #>  [30451]  99.60924 100.02500  99.95499  99.86491  99.28243 100.19481 100.62306 #>  [30458] 100.04999 100.21477 100.49876  99.95499 100.41912  99.67447 100.35437 #>  [30465] 100.13990 100.28958 100.53855  99.99500 100.13491  99.65440  99.80982 #>  [30472]  99.97500 100.38426 100.38426  99.50879 100.10494 100.26964  99.67949 #>  [30479] 100.42410 100.12492 100.22475 100.54352  99.50377 100.05498 100.50373 #>  [30486]  99.91496  99.82986  99.73465 100.14490  99.39819  99.51884 100.18483 #>  [30493] 100.21477 100.20479 100.73232  99.57911  99.80481 100.08996 100.08996 #>  [30500]  99.84989 100.16986  99.98500  99.70958 100.08496 100.23971 100.14989 #>  [30507] 100.01000  99.86992 100.12992  99.92998  99.81984  99.67949  99.86992 #>  [30514] 100.36932 100.18982 100.70253  99.85990  99.65440 100.41414  99.76472 #>  [30521] 100.01500 100.11993 100.57833 100.16986 100.03000 100.17485 100.16986 #>  [30528] 100.02000 100.14490 100.06498  99.86491  99.57911  99.86491  99.79980 #>  [30535] 100.23472  99.85990 100.58330  99.87993 100.22475  99.65440  99.67447 #>  [30542] 100.29955 100.31949  99.63935  99.73966 100.22974 100.28460 100.37928 #>  [30549]  99.44848  99.71459  99.69453  99.93498  99.74969  99.86992 100.29955 #>  [30556] 100.30952 100.29955  99.82986 100.00500 100.30952  99.77475  99.71961 #>  [30563] 100.32946 100.36434 100.10494  99.97500 100.04499 100.53855 100.27961 #>  [30570]  99.88493 100.12492  99.92497  99.76973  99.64939  99.78978 100.02000 #>  [30577] 100.01000 100.32946 100.26964  99.53894 100.16486  99.98000  99.94498 #>  [30584] 100.03999  99.90495  99.95499 100.26964  99.97000 100.35935  99.98000 #>  [30591]  99.77475  99.87993  99.86491 100.46890 100.02500 100.38426  99.91496 #>  [30598]  99.63935 100.57833  99.61928  99.84488 100.46392 100.29457 100.11493 #>  [30605] 100.12492  99.79479 100.06998 100.37928 100.02500 100.42410  99.64939 #>  [30612]  99.98500 100.47885  99.55903  99.87993  99.20685  99.87993 100.05498 #>  [30619] 100.16486 100.28958 100.13990  99.75470  99.60924  99.98500 100.08996 #>  [30626]  99.58916  99.98000 100.21477 100.16486 100.12492  99.88493  99.39819 #>  [30633]  99.86992  99.82986  99.91997  99.80481 100.44899 100.06498  99.81984 #>  [30640] 100.09495  99.99500 100.11993 100.18982 100.35935 100.17984 100.03499 #>  [30647] 100.07497 100.38426  99.80982 100.44401 100.19980 100.29457 100.47388 #>  [30654]  99.95499  99.08582 100.55844 100.31949  99.71961 100.10994 100.32447 #>  [30661]  99.91997  99.70456 100.02000 100.10994 100.06998  99.67447 100.06498 #>  [30668] 100.23472 100.24969 100.06998 100.10494  99.39819  99.71961 100.21976 #>  [30675] 100.11993 100.08996  99.74467 100.36434 100.05998  99.99500 100.32946 #>  [30682]  99.67949  99.54396  99.48869  99.62931 100.36932 100.43406  99.89494 #>  [30689]  99.94999 100.22475 100.28460  99.79980 100.03999 100.40916 100.19481 #>  [30696]  99.65440  99.75470 100.34441  99.69955  99.66945  99.70958 100.22475 #>  [30703]  99.82986  99.40825  99.65440 100.33942  99.29250  99.75971  99.66444 #>  [30710] 100.17984 100.05998  99.93998 100.00500 100.43904  99.77475 100.02500 #>  [30717]  99.84488 100.27961 100.31451 100.22974 100.18483  99.89494  99.19677 #>  [30724] 100.07497  99.48367  99.87492  99.59418 100.22475  99.66444 100.33942 #>  [30731] 100.36434 100.26964  99.85990  99.88994  99.44848  99.97500  99.82986 #>  [30738]  99.76472  99.39819 100.54352  99.98000  99.89995  99.99500 100.14490 #>  [30745] 100.04999 100.08496  99.85489 100.80179  99.84989 100.11493 100.39422 #>  [30752] 100.19980 100.13990  99.97000 100.01000  99.61928  99.77976 100.23971 #>  [30759]  99.72963  99.91997 100.00000  99.95999 100.43904  99.87492 100.32946 #>  [30766]  99.79479  99.96499 100.23472  99.50377  99.89494 100.16986 100.19980 #>  [30773] 100.02500  99.86491 100.18982 100.25966 100.31949 100.28460  99.30257 #>  [30780] 100.44401  99.89494  99.99000 100.38924  99.95999 100.62803 100.18982 #>  [30787] 100.15987 100.30454 100.29457  99.91496  99.69955  99.79479  99.87993 #>  [30794] 100.24969 100.42908  99.54396 100.55844 100.13491 100.22974  99.95999 #>  [30801]  99.47864  99.42334  99.79980  99.98500  99.69453  99.89995 100.02500 #>  [30808] 100.06998 100.14989 100.05498  99.71459 100.08496 100.19980 100.35935 #>  [30815]  99.81984  99.88994 100.35437 100.15488  99.91496 100.30952  99.68450 #>  [30822]  99.92998 100.47885  99.40825  99.54898 100.14490 100.43904  99.81984 #>  [30829] 100.00500 100.34441 100.31451 100.45895 100.36434  99.79980 100.26964 #>  [30836]  99.78477  99.62429  99.77475 100.05998  99.51382  99.79980 100.34441 #>  [30843]  99.89995  99.93498 100.03999 100.08496 100.19980 100.02000  99.58916 #>  [30850] 100.09995 100.41912 100.09995 100.86129  99.41328 100.36932  99.37303 #>  [30857]  99.91496  99.93998  99.57409 100.03999  99.72462  99.68952 100.08996 #>  [30864]  99.59920 100.07497 100.13990 100.28958 100.37928  99.82986 100.34441 #>  [30871]  99.93998 100.10494 100.06498 100.11993  99.61426  99.68952  99.76472 #>  [30878]  99.75470  99.87993 100.47885 100.33942 100.56838  99.54396  99.91997 #>  [30885] 100.02000 100.08496  99.50879 100.22475  99.73465 100.04999  99.50377 #>  [30892] 100.76210  99.43842  99.85990 100.21477 100.30454 100.01500 100.15987 #>  [30899]  99.26732 100.06498  99.35291 100.26964 100.14490  99.72462  99.93498 #>  [30906]  99.95499 100.05998  99.81984 100.13990 100.16986 100.20479  99.35291 #>  [30913] 100.58330 100.08496 100.38924  99.77475  99.73966 100.08496  99.99500 #>  [30920] 100.19481  99.58414  99.46859  99.94999 100.09495 100.08496 100.40916 #>  [30927]  99.58916  99.50377 100.14989 100.38426  99.88994  99.66945 100.00500 #>  [30934] 100.26964 100.37928 100.05998  99.62429 100.00500 100.57336 100.02500 #>  [30941] 100.03000 100.00500  99.90996  99.82485 100.12492  99.50879 100.10994 #>  [30948]  99.80982  99.88493 100.42908 100.03999  99.66945 100.12992 100.38426 #>  [30955]  99.89995 100.31451 100.13491 100.60815  99.74467 100.45895  99.69955 #>  [30962]  99.87993 100.25468 100.12992  99.90495 100.06498 100.21976 100.45397 #>  [30969]  99.18165 100.12492  99.49874  99.88994  99.85489 100.33444 100.13491 #>  [30976] 100.17485  99.91496  99.56907 100.14989  99.80481  99.76472  99.56907 #>  [30983] 100.13491 100.12992  99.90996 100.00000 100.16486  99.94999  99.75470 #>  [30990]  99.74467  99.75470 100.09495 100.13990  99.96499  99.46356  99.99500 #>  [30997]  99.44848  99.80982  99.83987 100.17485 100.24969  99.91997 100.04499 #>  [31004]  99.91997 100.28460  99.82986  99.96499 100.23472  99.50879  99.88493 #>  [31011]  99.84989  99.73465  99.68952  99.57911 100.04999  99.99500 100.34939 #>  [31018]  99.83486  99.89494 100.11993  99.64437 100.25966  99.80982 100.13990 #>  [31025] 100.01000 100.29457 100.15488  99.88994  99.78477 100.59324 100.18982 #>  [31032] 100.09995 100.59324 100.12492  99.44848 100.07997  99.93498  99.65440 #>  [31039] 100.10994 100.45397  99.97000 100.21976 100.53855  99.76472 100.20978 #>  [31046]  99.59418 100.16486  99.65942  99.43842 100.17485 100.29955 100.03999 #>  [31053] 100.10994 100.04999 100.15987  99.72462  99.49874  99.98500 100.18483 #>  [31060] 100.03999  99.97000 100.65784  99.92497  99.72963 100.01500 100.10494 #>  [31067] 100.05498  99.61426 100.18483  99.85990  99.93498  99.93998 100.09995 #>  [31074]  99.66444 100.31949 100.00500  99.64939 100.26964  99.47361  99.84488 #>  [31081]  99.42837  99.62931  99.79980 100.52860 100.04999  99.92998  99.53391 #>  [31088] 100.44401  99.62429  99.90495 100.14989 100.02500  99.69453  99.85990 #>  [31095] 100.03499  99.81984 100.14490  99.54396 100.01000 100.55844  99.94498 #>  [31102] 100.02500 100.10494 100.10994 100.13491  99.89494 100.45895  99.76472 #>  [31109]  99.91997  99.74969 100.15987  99.74969 100.47388 100.11993  99.80982 #>  [31116] 100.03000 100.33444 100.20978 100.18483 100.11993 100.46392  99.92497 #>  [31123]  99.98000 100.37430  99.83486 100.24470 100.01500  99.87993  99.70456 #>  [31130] 100.56838 100.69757 100.19481  99.75470 100.12492  99.92497 100.02500 #>  [31137]  99.38813  99.68450 100.04499  99.78477 100.05498  99.96499  99.83486 #>  [31144] 100.54850 100.45397 100.15987  99.93998 100.13990  99.90495  99.89494 #>  [31151] 100.09495  99.58414 100.28958  99.47361 100.04499 100.36434 100.14490 #>  [31158]  99.66444  99.83486 100.01500 100.06498  99.37303  99.35794 100.51865 #>  [31165]  99.74467 100.27462 100.18982  99.98000  99.61426 100.24969 100.08996 #>  [31172]  99.81984  99.75971  99.75971  99.62429  99.56405  99.64939 100.14989 #>  [31179] 100.04999 100.14989 100.03000  99.54396  99.74969 100.12992  99.76973 #>  [31186]  99.92998  99.86992 100.56838 100.27462 100.03000  99.87993  99.57911 #>  [31193] 100.27961 100.10994  99.78978 100.03499  99.91496 100.52860 100.12992 #>  [31200]  99.73465  99.85990  99.61426  99.41328  99.92497 100.38924 100.33942 #>  [31207] 100.18483 100.28958  99.74467 100.15488 100.10494  99.53894 100.03499 #>  [31214] 100.30454 100.31949  99.64437  99.59920  99.87993  99.84488 100.04999 #>  [31221]  99.44848  99.67949 100.16486  99.68952 100.80179 100.32946 100.15987 #>  [31228]  99.80481 100.27961  99.84488 100.30454  99.64437  99.73966 100.02500 #>  [31235] 100.18982 100.07997 100.04499  99.81984 100.02000 100.67274  99.48367 #>  [31242] 100.15987 100.17984  99.57911 100.19481 100.00000 100.12492  99.65942 #>  [31249] 100.13990 100.36932  99.99500  99.42334  99.98500  99.91997  99.63433 #>  [31256]  99.83987 100.39422  99.99000 100.50373  99.95499 100.69260 100.29955 #>  [31263] 100.03499  99.74467  99.73966 100.14989  99.66945 100.16986 100.14490 #>  [31270] 100.05498 100.13491  99.81483  99.70456  99.46356 100.09995 100.00000 #>  [31277] 100.06998  99.60422 100.07497 100.18483 100.11993  99.82986  99.90996 #>  [31284] 100.09995 100.05498  99.76973 100.09995  99.88493 100.46392  99.71961 #>  [31291]  99.93498 100.21976 100.28460  99.58916 100.03000 100.02000 100.47388 #>  [31298]  99.93998  99.73966 100.07997  99.66945  99.53894 100.01000  99.84488 #>  [31305] 100.12992 100.35437 100.19980  99.79980 100.02000 100.09495  99.85489 #>  [31312]  99.49372  99.56405 100.23472  99.84989  99.63935  99.73966 100.56838 #>  [31319] 100.35437 100.26964 100.09495  99.59418  99.23709  99.74969 100.15987 #>  [31326]  99.69453  99.88994 100.25468  99.54898  99.92998 100.18982 100.39920 #>  [31333] 100.04499  99.93998 100.20479 100.27462  99.73465  99.70456 100.13491 #>  [31340]  99.84488 100.00000 100.26964 100.06998 100.08496  99.82485 100.44401 #>  [31347] 100.04999 100.13491 100.02000 100.11993 100.18483 100.24470 100.22974 #>  [31354] 100.02500 100.07997 100.02500  99.58414 100.30952 100.07997 100.19980 #>  [31361] 100.14989 100.06998 100.03499 100.45895  99.73465  99.50377 100.26964 #>  [31368]  99.87993  99.91496  99.70958 100.40916  99.72462 100.29457  99.98500 #>  [31375]  99.64939  99.95499 100.17485 100.14490 100.37430 100.10494  99.97000 #>  [31382] 100.49378 100.18982  99.49372  99.99000 100.23971 100.01500  99.97500 #>  [31389] 100.07997  99.72462  99.90495  99.94498 100.14490  99.95999 100.20479 #>  [31396]  99.99000 100.23971 100.01000 100.32946  99.68450  99.70456 100.27961 #>  [31403] 100.31451  99.76472  99.94999  99.71459 100.14989  99.97500  99.60924 #>  [31410]  99.25220  99.66444 100.10494 100.58827 100.06998  99.71961  99.98000 #>  [31417]  99.98500  99.77976 100.36434 100.12492  99.99500 100.40418 100.30952 #>  [31424]  99.79479  99.86992 100.43904 100.22475  99.52889 100.31949 100.08996 #>  [31431] 100.21976 100.05498 100.22475  99.85990 100.27961 100.09995  99.71459 #>  [31438] 100.31949 100.16486  99.56907 100.09995 100.62306 100.22475  99.88493 #>  [31445]  99.60422 100.45895 100.57336 100.46392  99.40322  99.78477  99.81984 #>  [31452] 100.47885 100.11993 100.26465 100.31949 100.38924 100.37928  99.89494 #>  [31459] 100.13990  99.65440  99.76973  99.89995  99.70456 100.30454  99.70456 #>  [31466]  99.60422 100.22974 100.60318 100.03499  99.91496  99.35291 100.03499 #>  [31473]  99.63935 100.20978 100.33942 100.09995  99.79980  99.79980  99.61426 #>  [31480] 100.14490 100.03999  99.40825 100.06998  99.87492 100.13491 100.14490 #>  [31487] 100.17984  99.63935 100.04999 100.24470  99.84488 100.04999 100.22475 #>  [31494]  99.77475 100.41912 100.29457  99.71961 100.26465  99.70958 100.25468 #>  [31501] 100.21477  99.90996  99.94498 100.26465 100.80179 100.33444  99.88994 #>  [31508]  99.90495 100.49876  99.68952  99.85990  99.88994  99.41328  99.67447 #>  [31515] 100.32946 100.67770  99.88994 100.05498 100.15987 100.40916 100.06498 #>  [31522] 100.28958 100.14490 100.13990 100.20978 100.16986 100.45895 100.48881 #>  [31529] 100.56838 100.06498  99.89995  99.36800 100.14490  99.76472  99.75470 #>  [31536]  99.91997 100.02500  99.95499  99.82485  99.48367 100.21976 100.31451 #>  [31543]  99.51382  99.64437  99.99000  99.61426 100.31451  99.80481  99.53391 #>  [31550]  99.60924 100.17984  99.68450 100.39920 100.00500 100.14490 100.73728 #>  [31557]  99.73966  99.31264  99.59418 100.11493  99.61928  99.71459 100.65784 #>  [31564] 100.00500  99.87492 100.36434 100.23472 100.47885  99.74467 100.10994 #>  [31571] 100.23472 100.13990 100.17485  99.52387  99.92497 100.20479 100.38924 #>  [31578]  99.90495  99.69453 100.34939 100.22974 100.04999  99.51382  99.69453 #>  [31585]  99.97000 100.11993  99.71459 100.30454  99.66444  99.77976  99.89995 #>  [31592] 100.21477  99.81984  99.98000  99.72963 100.03000  99.86491  99.88493 #>  [31599] 100.11993 100.19980  99.89494  99.99500  99.53894 100.22974 100.03999 #>  [31606] 100.61809  99.81984 100.42908  99.90495  99.65440 100.37430  99.75971 #>  [31613] 100.25966 100.51368  99.83987  99.70958  99.38310  99.67949 100.15987 #>  [31620]  99.60924 100.27462 100.25966  99.54898 100.53855  99.49874  99.55401 #>  [31627] 100.12992  99.89995  99.48869 100.03499  99.59920 100.40916  99.68450 #>  [31634] 100.21976 100.19481  99.79479  99.68450  99.88994  99.84488  99.95999 #>  [31641]  99.97500 100.29955  99.70456 100.01500  99.82485  99.95499 100.13990 #>  [31648] 100.45895  99.95499  99.63433  99.81984 100.38924 100.28460  99.65440 #>  [31655] 100.08996  99.92497  99.54898  99.98500 100.12492 100.13990  99.98500 #>  [31662]  99.87993  99.93998 100.00000  99.90495 100.42410 100.52860 100.11993 #>  [31669]  99.65440 100.41912  99.78978 100.25966 100.07497  99.85489  99.68952 #>  [31676]  99.68450  99.97000  99.74969 100.15488 100.26964 100.15488 100.27462 #>  [31683]  99.86992  99.77976 100.05998 100.11993 100.60815  99.98000 100.26964 #>  [31690]  99.42334 100.23472 100.03999 100.30952 100.04999 100.25468 100.14490 #>  [31697] 100.39920 100.17485  99.94999  99.99500 100.00000 100.39920  99.97500 #>  [31704]  99.58414  99.74467  99.82485 100.45895  99.92497 100.22974 100.27462 #>  [31711]  99.44345 100.04499  99.58414  99.87492  99.81483  99.62931  99.86992 #>  [31718] 100.27462  99.86491 100.21976  99.83987 100.13491  99.64437  99.64437 #>  [31725] 100.26964 100.52363 100.24470 100.41912  99.61426 100.44401  99.40825 #>  [31732] 100.03499  99.97500 100.11493 100.12992  99.87993  99.98000  99.72462 #>  [31739] 100.31451 100.39422  99.80481 100.11993 100.16986 100.11993  99.80982 #>  [31746]  99.71459  99.38813  99.82986 100.35935  99.94498  99.98500 100.37928 #>  [31753]  99.85489  99.83987 100.14989 100.03999 100.30454  99.73966  99.67949 #>  [31760]  99.78978 100.41414  99.67447  99.61928  99.71961  99.71459  99.70958 #>  [31767]  99.30760 100.12992 100.34939 100.08496  99.70456  99.90996 100.31451 #>  [31774]  99.85489 100.05998 100.41414  99.69453  99.63935 100.54850  99.74467 #>  [31781]  99.56907  99.92998 100.08496 100.06998 100.17984  99.78477  99.76472 #>  [31788]  99.80481  99.82986 100.06498 100.16486  99.93998  99.71961  99.79980 #>  [31795] 100.47885  99.68952  99.88493 100.26465 100.35437 100.06998 100.03499 #>  [31802]  99.96499  99.59920 100.19481 100.00000 100.41912 100.02000 100.06998 #>  [31809] 100.11993 100.21976  99.51884 100.16486  99.72462  99.76472  99.68952 #>  [31816] 100.14490 100.28460 100.31451  99.92998  99.65942 100.10494  99.67949 #>  [31823] 100.06498 100.66280  99.90495 100.08996  99.52387 100.05998 100.17485 #>  [31830] 100.00000 100.00500 100.37928 100.18982 100.02500 100.17485 100.04999 #>  [31837]  99.59920 100.21477 100.08996  99.64437  99.60422  99.32271  99.89494 #>  [31844] 100.35437  99.89494  99.92497  99.48869  99.83987 100.05498 100.29955 #>  [31851] 100.03000 100.41414  99.70456 100.06498  99.61426  99.79980 100.14989 #>  [31858]  99.89494  99.95499  99.92497 100.02500  99.68952 100.41912  99.82485 #>  [31865] 100.03000 100.04999 100.13491  99.73465 100.04999  99.98500  99.94498 #>  [31872] 100.17984  99.54898  99.82986  99.54396  99.87993 100.15488 100.12992 #>  [31879]  99.83987  99.91997  99.88994 100.33444  99.46356 100.15987  99.81984 #>  [31886]  99.70456  99.93998 100.51368 100.46392  99.98500 100.03000  99.78978 #>  [31893]  99.28243  99.95499  99.88994 100.09495 100.03499 100.04999 100.14989 #>  [31900]  99.67447  99.91997  99.87993 100.07997  99.41328 100.18483  99.63433 #>  [31907]  99.75971 100.18483 100.13990 100.18483 100.06998  99.60422  99.28746 #>  [31914] 100.10994  99.95999  99.58414  99.72963 100.34441  99.88493 100.06498 #>  [31921] 100.25966  99.53391 100.36434 100.26964 100.08996  99.98500 100.17485 #>  [31928] 100.15987 100.12992  99.72963  99.88493  99.60422 100.17485 100.50871 #>  [31935] 100.05498  99.56405  99.39819 100.23971 100.19980  99.67949  99.82986 #>  [31942] 100.18982  99.87492  99.69453 100.63300  99.68952 100.27462  99.91496 #>  [31949]  99.62429  99.86992 100.12492  99.87492  99.66945  99.56405  99.70456 #>  [31956]  99.43339 100.32447 100.43406  99.95999 100.06998 100.39422 100.60318 #>  [31963]  99.82485  99.99000 100.16986  99.94498 100.13491  99.73465  99.98000 #>  [31970] 100.05498  99.91496  99.98000 100.28460 100.08496 100.08496 100.21976 #>  [31977] 100.10994  99.88493 100.06498 100.44401 100.04999  99.73465 100.10494 #>  [31984] 100.11493  99.90996 100.04499  99.80982 100.19481  99.74969  99.42837 #>  [31991]  99.63935 100.15987 100.01000  99.94999 100.03499  99.99000 100.14490 #>  [31998] 100.45895  99.84488  99.90996  99.55401  99.85990  99.68450  99.77475 #>  [32005]  99.67949 100.49876 100.03999 100.04499 100.14490  99.85489  99.82986 #>  [32012]  99.76973  99.75971 100.48881  99.62931 100.27961  99.34787  99.67447 #>  [32019]  99.48869 100.15488  99.42837  99.85489 100.30454  99.73966 100.41414 #>  [32026]  99.95499  99.76472  99.65440  99.88994 100.38426  99.87993  99.82485 #>  [32033]  99.69453  99.97000  99.60924  99.67949 100.13990 100.13990 100.07497 #>  [32040] 100.07497 100.28958 100.57336 100.19481 100.14490  99.51884 100.12992 #>  [32047] 100.06998 100.17984 100.03499  99.94999  99.83987 100.43406  99.92497 #>  [32054] 100.50373  99.66444  99.82986  99.70456 100.28958  99.62429  99.56907 #>  [32061] 100.11993 100.03499  99.82986  99.58414 100.50373 100.17984  99.97000 #>  [32068]  99.85990  99.76973 100.24969 100.36932 100.21976  99.42837  99.77475 #>  [32075]  99.69955 100.19481  99.91997  99.24717  99.48367  99.86491 100.34939 #>  [32082]  99.64437 100.21477  99.99500  99.56405  99.72963 100.18483  99.73966 #>  [32089] 100.13491 100.67770 100.00500  99.84488  99.72462  99.51382 100.26465 #>  [32096]  99.92497 100.40418 100.46890 100.05998 100.03499 100.24470 100.01500 #>  [32103] 100.32946 100.25468  99.87993  99.81483 100.46890 100.81171 100.19980 #>  [32110]  99.41831  99.89995 100.02500  99.47361  99.93498  99.82485 100.28460 #>  [32117] 100.18982  99.75971 100.35935  99.95499 100.17984  99.97500 100.35437 #>  [32124]  99.82485 100.55347 100.00000  99.79980 100.26465 100.65287  99.97000 #>  [32131] 100.00500 100.07997  99.77475 100.04999 100.36932 100.11493 100.42908 #>  [32138] 100.63300  99.64437  99.57911  99.98500  99.89494  99.80982  99.99500 #>  [32145]  99.84989 100.35935  99.89494 100.17485 100.17984 100.47885 100.22974 #>  [32152]  99.51382 100.22475  99.85990 100.25468  99.95999 100.14490 100.07497 #>  [32159] 100.03000  99.82485 100.05498  99.84488  99.83486  99.48869 100.54352 #>  [32166]  99.88493 100.33942  99.59418  99.71459  99.72462  99.49372  99.98500 #>  [32173]  99.90495  99.82485  99.99500  99.70958  99.83987 100.36434 100.33444 #>  [32180]  99.68952  99.75470 100.38924  99.92497 100.46392  99.70456 100.06498 #>  [32187]  99.62931  99.81984  99.36297  99.68952  99.99000  99.69453  99.27739 #>  [32194]  99.56405  99.72462 100.44401  99.59418 100.53358 100.20978  99.48367 #>  [32201] 100.13491  99.37807  99.80481  99.98500  99.93998  99.90495 100.13990 #>  [32208]  99.80481  99.93998 100.50373  99.82986  99.82986 100.22475  99.78978 #>  [32215]  99.86491  99.59418 100.44899 100.57336  99.77475  99.89995 100.02000 #>  [32222] 100.50373  99.96499  99.84488  99.71961 100.65287  99.80982 100.58827 #>  [32229]  99.74969 100.09495 100.22475  99.99500  99.93998 100.41912 100.27961 #>  [32236]  99.32271 100.29955  99.83987  99.76973 100.38924 100.33942 100.23971 #>  [32243]  99.93498  99.89995  99.68450  99.67949 100.18982 100.58827  99.98000 #>  [32250] 100.02500  99.58916 100.54850 100.21477 100.16486 100.07997  99.99500 #>  [32257]  99.69453 100.24470  99.51884  99.98500  99.62931  99.78477 100.12992 #>  [32264]  99.94498 100.09995  99.77475 100.27961  99.34284 100.20978  99.78978 #>  [32271]  99.85489 100.41912  99.95499 100.11993  99.54898 100.69757 100.00500 #>  [32278]  99.99500 100.03999 100.01500 100.01000  99.95999 100.44899 100.03999 #>  [32285] 100.11993 100.17984  99.93998  99.80982  99.85990 100.16986  99.34787 #>  [32292] 100.07497 100.04499 100.02500 100.24969  99.93498 100.24969 100.23971 #>  [32299]  99.48367 100.46890 100.32447  99.69453  99.76973 100.11993  99.68952 #>  [32306] 100.28958 100.22974  99.98500  99.30760  99.95999  99.85489 100.47885 #>  [32313] 100.30952 100.04999 100.06498 100.00500  99.64437 100.46392 100.06998 #>  [32320]  99.52387  99.89995  99.33277 100.42410  99.69955 100.08496  99.67447 #>  [32327] 100.27961 100.07497 100.39920 100.38924 100.04499  99.34787 100.02000 #>  [32334]  99.50879 100.12492 100.49876 100.05998  99.95999 100.09995  99.83987 #>  [32341]  99.91997  99.88994 100.51865 100.01500  99.82986 100.11493 100.38426 #>  [32348]  99.84488 100.41912 100.16986 100.34939  99.62931 100.19980 100.33444 #>  [32355]  99.91496  99.75971  99.71459 100.64293  99.91997 100.02000 100.05998 #>  [32362] 100.03000 100.32946 100.01500 100.21477 100.20479  99.76973  99.75971 #>  [32369]  99.53894 100.24470  99.91997  99.89995 100.03000 100.08496  99.93998 #>  [32376]  99.60924  99.81984  99.99500  99.62931 100.03499  99.91997 100.02500 #>  [32383]  99.44848  99.25220 100.04999 100.03999  99.91997 100.41912 100.15987 #>  [32390]  99.98000  99.39819 100.12492  99.69453  99.73465 100.05998  99.97500 #>  [32397]  99.69955  99.98000 100.21477  99.84989 100.78690  99.79479 100.10494 #>  [32404]  99.92998 100.20479  99.71961  99.66444  99.76973  99.65440 100.05498 #>  [32411]  99.54898 100.32447  99.82986  99.99000 100.26465 100.13491 100.24470 #>  [32418] 100.46392  99.89494 100.25468  99.96499 100.37928 100.40916 100.21976 #>  [32425]  99.76973  99.86491  99.81984 100.33444  99.80982  99.88493  99.60924 #>  [32432] 100.44401  99.53391  99.93498  99.90996 100.18483 100.03499  99.96499 #>  [32439]  99.95499 100.01500  99.40825 100.19980 100.57833 100.09995  99.98500 #>  [32446]  99.77475  99.69453  99.90495  99.93498 100.14490 100.18982  99.63935 #>  [32453]  99.84989  99.50879  99.53391  99.37303  99.92497  99.87993  99.72462 #>  [32460]  99.74969 100.18483 100.08496  99.93998 100.18483 100.34441 100.23472 #>  [32467] 100.32447  99.83987  99.49874 100.26964  99.46859  99.61426 100.05998 #>  [32474]  99.65942 100.15987  99.34284  99.69453  99.62931 100.08496 100.11493 #>  [32481]  99.67447  99.98000  99.75971  99.44848 100.18982 100.34441  99.46859 #>  [32488]  99.73966  99.78978 100.52363  99.89995 100.21477 100.42410  99.74969 #>  [32495]  99.57911  99.97000  99.90495 100.46890  99.41328  99.52387 100.05498 #>  [32502]  99.69453 100.44899  99.99000 100.38426  99.76973 100.05498  99.57911 #>  [32509] 100.11493  99.58916 100.38426  99.57911  99.75470  99.77475 100.24470 #>  [32516]  99.88994 100.10994 100.01000 100.13990 100.20978 100.34939 100.40916 #>  [32523]  99.92497 100.02000 100.29955 100.04999 100.20479 100.12492  99.73966 #>  [32530] 100.27961  99.73465  99.68952 100.38426  99.93998 100.53855  99.82485 #>  [32537]  99.92497  99.64437  99.67949 100.20978 100.19980 100.03000 100.34441 #>  [32544]  99.71459  99.91997  99.98000  99.86992  99.81984 100.28958  99.67447 #>  [32551]  99.99000  99.89494 100.16986  99.86992  99.94498  99.75470 100.25966 #>  [32558]  99.44345  99.46356 100.22475 100.20978  99.17157  99.88493 100.08496 #>  [32565] 100.31451  99.57911  99.98000  99.72462  99.86491 100.27961  99.86491 #>  [32572] 100.68267  99.93498  99.90996  99.85990 100.25966  99.88493 100.32447 #>  [32579] 100.27462 100.07997 100.31451  99.94999  99.98000  99.94498  99.93998 #>  [32586] 100.17485 100.08496 100.15488 100.22974  99.59418 100.53855  99.55401 #>  [32593] 100.16986  99.82485 100.03000  99.74467 100.09995  99.77976 100.14490 #>  [32600] 100.31451 100.26465  99.68952 100.35437  99.52889  99.64939  99.96499 #>  [32607] 100.07997 100.27961 100.19481 100.19481 100.01000  99.34787  99.68952 #>  [32614] 100.03000  99.73966  99.34787  99.46859 100.57833 100.12492 100.50373 #>  [32621]  99.89995 100.28460  99.60924 100.03999 100.37928  99.94498  99.73465 #>  [32628] 100.41414  99.89995  99.91496  99.72963 100.19481  99.33781  99.75971 #>  [32635]  99.99500  99.78477 100.03499  99.82986 100.36932 100.03000  99.66945 #>  [32642]  99.91496 100.11993 100.61312  99.67447 100.01500 100.20479  99.52387 #>  [32649] 100.15987  99.90996 100.20978 100.25966 100.14490 100.42410 100.19481 #>  [32656]  99.65942  99.96499  99.86491  99.93998  99.99500 100.22475 100.03999 #>  [32663] 100.08496 100.44401 100.42410  99.67447  99.61928  99.96499 100.23971 #>  [32670]  99.91496  99.78978  99.51382 100.23971 100.31949  99.64939 100.27961 #>  [32677]  99.78477  99.40825  99.66945 100.11493 100.03999  99.76973  99.84488 #>  [32684] 100.28958  99.87492  99.99000 100.25468 100.12492 100.25468 100.10494 #>  [32691]  99.78978  99.60924  99.97500  99.90495  99.90996 100.42410 100.52860 #>  [32698]  99.76472 100.06998  99.70456 100.01000  99.68952  99.62931 100.30454 #>  [32705] 100.10494  99.98000 100.14490 100.25966  99.37303  99.79479 100.10994 #>  [32712] 100.05998  99.80982 100.04499 100.16986 100.36932  99.73465 100.14490 #>  [32719] 100.16986  99.95499  99.49874  99.92998  99.69955 100.15488  99.91997 #>  [32726]  99.66945 100.30952  99.69955 100.34939  99.84488  99.73465  99.82986 #>  [32733] 100.39920  99.95499  99.58414  99.88994  99.63935 100.04499  99.82986 #>  [32740]  99.73966  99.92497  99.82986 100.03499  99.84488 100.33444 100.25468 #>  [32747] 100.12492  99.83987 100.24969  99.95499  99.91997  99.79479  99.81483 #>  [32754] 100.03999  99.76472  99.64939 100.04499 100.35935  99.85489 100.30454 #>  [32761] 100.14989  99.37303  99.75470 100.03999 100.50373 100.39422 100.24969 #>  [32768]  99.66444  99.32271 100.33942 100.06498  99.47361  99.70456  99.66444 #>  [32775]  99.93998  99.91496 100.51865  99.35794 100.45895 100.11493 100.13990 #>  [32782]  99.93998  99.75470 100.53855 100.01000  99.81984 100.12492 100.34441 #>  [32789]  99.91496 100.12492  99.58414  99.70958  99.95499  99.65440  99.77475 #>  [32796] 100.01000 100.51368 100.24969  99.97000 100.67274 100.15488 100.02500 #>  [32803] 100.59324 100.32447 100.37430  99.67949  99.71961  99.76973 100.30454 #>  [32810] 100.42410 100.28460  99.80982 100.00000 100.22475 100.33942 100.20479 #>  [32817] 100.08996  99.65440  99.92497  99.82485  99.71961 100.07997 100.02000 #>  [32824]  99.96499 100.17485 100.06998  99.78978  99.80481 100.27462  99.89995 #>  [32831]  99.96499 100.39422  99.64939 100.13491  99.99000 100.03999 100.12492 #>  [32838]  99.75971 100.12492 100.31949  99.63433 100.34441 100.47885 100.18483 #>  [32845] 100.12992 100.36932  99.91997  99.56405  99.81483 100.45895 100.23472 #>  [32852]  99.60422  99.73465  99.74969  99.99000  99.64939  99.90495 100.27462 #>  [32859] 100.43904  99.95499 100.07997 100.50373  99.52387  99.93498 100.35437 #>  [32866] 100.41912 100.04999  99.81984  99.63433 100.01000  99.83486  99.69955 #>  [32873] 100.16486 100.46392  99.79980 100.03999 100.26964 100.48881 100.15987 #>  [32880] 100.20479 100.03499 100.25966  99.87993  99.57911  99.55401 100.07497 #>  [32887] 100.43406  99.77475  99.84989 100.04999 100.45895  99.90495  99.76472 #>  [32894]  99.86992  99.87993 100.04499  99.60422 100.14989 100.13990 100.00000 #>  [32901]  99.74467  99.84488 100.27961 100.44401  99.97000 100.06498  99.96499 #>  [32908]  99.68952 100.06498 100.25966  99.99000  99.97000  99.94999 100.24969 #>  [32915]  99.77475 100.03499  99.64437  99.90495 100.04999 100.31949  99.93998 #>  [32922]  99.82986  99.88994 100.03000  99.95999 100.13990 100.08496  99.99500 #>  [32929] 100.50871  99.64437  99.59920 100.20479 100.06998  99.62931 100.27462 #>  [32936]  99.98500  99.75971 100.17984 100.00500  99.39819 100.60318 100.57833 #>  [32943]  99.98000 100.17984 100.00500  99.80481  99.71459  99.78978 100.49876 #>  [32950] 100.12492  99.68952 100.16986 100.07497  99.87492 100.07497 100.29955 #>  [32957]  99.94498  99.65440  99.79980  99.93998 100.53358 100.27462 100.02000 #>  [32964]  99.76472  99.64437 100.03499 100.05498  99.87993  99.73465  99.70958 #>  [32971]  99.82986 100.08996 100.31451  99.78477  99.73966 100.35935  99.62429 #>  [32978] 100.17984  99.92497 100.41414  99.86491  99.89995 100.19980 100.23472 #>  [32985] 100.37430  99.85990 100.05498 100.30952 100.12992 100.00000 100.30454 #>  [32992]  99.67447 100.24969 100.03499 100.25468  99.91496  99.84488 100.30952 #>  [32999] 100.02000 100.17984  99.61928  99.97000 100.05998  99.61928 100.06498 #>  [33006]  99.66444  99.82485  99.90996  99.79479 100.24470  99.72462  99.71459 #>  [33013]  99.70958 100.06998  99.66945 100.09495  99.59920 100.29955  99.92998 #>  [33020] 100.37928  99.92497 100.01500 100.23971 100.14989  99.87492  99.69955 #>  [33027]  99.87993  99.93498 100.53358 100.24969  99.91496  99.96499 100.18483 #>  [33034]  99.97000  99.65440  99.92998  99.64939 100.08496 100.23472 100.19980 #>  [33041] 100.08996  99.63433 100.64790 100.07997 100.08996 100.42410  99.66444 #>  [33048] 100.53855  99.74467  99.87993 100.00000 100.13990 100.07497  99.93998 #>  [33055] 100.18483  99.85489 100.19481 100.22974  99.63433 100.23472  99.87492 #>  [33062] 100.04499 100.41912  99.66945 100.17485 100.31949 100.15987  99.73465 #>  [33069]  99.49372 100.03499 100.33942 100.42410  99.70958 100.15488 100.14490 #>  [33076]  99.94498 100.56341  99.87993  99.69955  99.64437 100.36932 100.31949 #>  [33083]  99.80982  99.69955  99.68450 100.03499  99.84989 100.34939 100.19980 #>  [33090]  99.53894  99.91997 100.32946 100.02500 100.21976  99.93498 100.10994 #>  [33097] 100.29955 100.21976 100.49378 100.73232  99.47361  99.76973 100.32946 #>  [33104] 100.55844 100.20978  99.70958 100.20479  99.65440 100.37928  99.74467 #>  [33111] 100.03499 100.05498 100.39422 100.27961 100.61312  99.99500  99.94498 #>  [33118] 100.01500 100.24470  99.88994  99.77976 100.31451 100.48881 100.09495 #>  [33125] 100.58330 100.32946 100.24470 100.06998 100.09995  99.91496 100.87616 #>  [33132]  99.86491 100.30952 100.11493 100.17984 100.36434 100.43406  99.68952 #>  [33139] 100.39920  99.66444  99.52889 100.08496  99.88994  99.97000 100.23472 #>  [33146] 100.88112  99.60422  99.42334 100.00000 100.31451 100.17984 100.25966 #>  [33153] 100.36932 100.18982 100.03999  99.98500 100.61312 100.16486 100.55844 #>  [33160] 100.34939 100.38426 100.54850 100.16486  99.93498 100.01500 100.19980 #>  [33167]  99.98000  99.86491 100.43406 100.11993  99.91997  99.90495 100.13990 #>  [33174]  99.86491 100.49378  99.78477  99.66444 100.03999 100.32946 100.13491 #>  [33181]  99.47864 100.42908 100.20479  99.95499  99.80481  99.97000 100.27961 #>  [33188] 100.66280  99.79479 100.14490  99.75470  99.97000 100.16486 100.36932 #>  [33195] 100.46392 100.21477  99.74467 100.65287 100.18483  99.88994  99.85990 #>  [33202]  99.62429  99.69955  99.72963  99.92998 100.34441  99.98500  99.63935 #>  [33209] 100.25468 100.16986 100.22475 100.18982 100.20479 100.06498 100.03499 #>  [33216] 100.12992 100.26465  99.78477  99.78477 100.25468 100.01500 100.30454 #>  [33223] 100.07997  99.99000 100.18982  99.91997  99.53894 100.12992  99.87993 #>  [33230]  99.32271 100.29457 100.54850 100.13990  99.89995 100.48881 100.17485 #>  [33237] 100.17984  99.85990  99.54898  99.82485  99.36800  99.78477 100.29457 #>  [33244] 100.23472 100.02000 100.15987  99.62931  99.77475  99.80481  99.92998 #>  [33251]  99.91496  99.82485 100.48881  99.99000  99.45351 100.16986 100.44401 #>  [33258] 100.15987 100.12492  99.87492 100.50373 100.36434  99.65440  99.67949 #>  [33265]  99.78978 100.07997 100.49876 100.34441  99.83987 100.05498  99.91496 #>  [33272] 100.04999 100.05998  99.99000  99.54396  99.77976 100.01000  99.89995 #>  [33279]  99.84488  99.76472  99.86491 100.50373 100.37430 100.35437  99.91496 #>  [33286] 100.33444  99.63935  99.92998  99.44848  99.52387  99.86992 100.22974 #>  [33293] 100.32946 100.00500 100.07997 100.30952 100.03000  99.59418  99.82485 #>  [33300]  99.45351  99.54898 100.12992  99.60422  99.95999 100.30454  99.92497 #>  [33307]  99.78477 100.11993 100.14989 100.06498  99.98500  99.64437  99.86491 #>  [33314] 100.78690 100.45397  99.91496 100.03499 100.28460  99.48869 100.07997 #>  [33321] 100.25468  99.47361 100.03999  99.73966  99.54396  99.57409 100.34441 #>  [33328] 100.13491  99.62931 100.03000 100.16486  99.34787  99.63935 100.47885 #>  [33335]  99.71961  99.77976 100.03499  99.77475  99.83987  99.72963  99.62931 #>  [33342]  99.74969 100.25468  99.76472  99.85489 100.09495 100.22475 100.14989 #>  [33349]  99.82485  99.91496 100.40916 100.36932  99.93998  99.74467  99.54898 #>  [33356]  99.98000 100.36434  99.76973 100.03000 100.02000  99.82986  99.70958 #>  [33363] 100.38924  99.49372 100.45895 100.02000  99.97500  99.46356 100.29955 #>  [33370]  99.58414  99.99500 100.04999 100.06998 100.26964  99.45351 100.15488 #>  [33377] 100.09495 100.46392 100.09995 100.28958  99.98000 100.13990 100.15488 #>  [33384] 100.06998 100.62803 100.28958  99.62931 100.03999 100.21477 100.11993 #>  [33391] 100.15488  99.66444  99.69955 100.28958 100.08996  99.62931  99.72462 #>  [33398] 100.75713 100.00000 100.15987  99.85990  99.87993  99.65942  99.75470 #>  [33405] 100.25966 100.11493 100.22974 100.11993  99.86992  99.78978  99.74969 #>  [33412]  99.83987  99.57911 100.30952 100.15488 100.16986 100.03000 100.58827 #>  [33419] 100.13491 100.65784  99.71961  99.97000 100.44401 100.36434 100.08496 #>  [33426]  99.74467 100.24969 100.22974 100.19481 100.60815  99.78978 100.10494 #>  [33433]  99.51884 100.09995 100.11993 100.10994  99.94498 100.16986 100.51865 #>  [33440]  99.84989 100.06498  99.77976  99.82485  99.96499  99.57409  99.89995 #>  [33447] 100.08996  99.51884 100.13491 100.50373  99.64437  99.85990 100.21976 #>  [33454]  99.81483 100.41414 100.42908  99.64437  99.60422 100.30454  99.97500 #>  [33461] 100.12492  99.44345  99.88493 100.45397  99.79479 100.19481 100.19980 #>  [33468] 100.23472  99.96499  99.59920  99.63433  99.67949 100.05998  99.80481 #>  [33475]  99.82986 100.03999  99.59920 100.16986 100.37430 100.05498 100.55844 #>  [33482] 100.22974 100.32447 100.09495 100.15987 100.17984 100.23472  99.39819 #>  [33489]  99.44848  99.85990  99.89494 100.23472  99.91496  99.95499 100.08996 #>  [33496]  99.80481 100.42410  99.96499 100.47388 100.32447  99.54898  99.68450 #>  [33503] 100.06498  99.80481  99.80982  99.93498  99.62931  99.94498 100.46392 #>  [33510] 100.42410  99.59920  99.47864  99.83987 100.00500  99.91496  99.89494 #>  [33517]  99.80481  99.94498 100.22974  99.67949 100.09995  99.76472 100.40916 #>  [33524]  99.83486  99.80481  99.87993 100.36434 100.02000 100.35935 100.26964 #>  [33531] 100.17485 100.37928 100.06998  99.74969 100.11993 100.04499 100.39422 #>  [33538]  99.98000 100.15987  99.94498  99.95499  99.76472  99.82986 100.06998 #>  [33545]  99.95999 100.18483 100.26465 100.02500 100.10994  99.97000 100.12492 #>  [33552]  99.85489  99.73966 100.65287  99.98000 100.83650  99.69955  99.74467 #>  [33559]  99.54898  99.49874  99.65942 100.03000 100.04499 100.06998  99.79479 #>  [33566] 100.13491 100.12992  99.89494 100.06998 100.05998 100.14989 100.20479 #>  [33573]  99.76472 100.50373  99.99500 100.08496  99.98500 100.28460  99.98500 #>  [33580] 100.22974 100.20479 100.32946  99.67447  99.89995  99.81483 100.50373 #>  [33587]  99.72963 100.28958 100.38924 100.29955  99.90996 100.07497 100.57336 #>  [33594]  99.85990  99.52889 100.16986 100.17485  99.52889  99.79479  99.88493 #>  [33601] 100.29457  99.84488  99.87993 100.39422  99.66945 100.15488  99.97500 #>  [33608]  99.62931  99.93498 100.34441 100.71246 100.02000  99.47361  99.72963 #>  [33615]  99.96499  99.79980  99.91997 100.24969  99.93998  99.86992 100.40418 #>  [33622] 100.43904  99.95999  99.70456 100.11493 100.12992  99.83486 100.42410 #>  [33629]  99.38310  99.90495 100.34939 100.01000 100.22974 100.57336 100.16486 #>  [33636]  99.89494 100.15488 100.07497 100.11993 100.22974 100.46392 100.44899 #>  [33643]  99.72963 100.73728 100.24470  99.32271 100.26964  99.81984  99.67447 #>  [33650]  99.62429 100.55844 100.11493 100.18982 100.12492  99.92998  99.91997 #>  [33657]  99.33781  99.91997  99.75470  99.91997  99.84989  99.62429 100.33942 #>  [33664] 100.21976  99.68952 100.09495 100.28958 100.03000  99.51382 100.25966 #>  [33671] 100.03499  99.73966 100.11493  99.92497 100.45895 100.12992  99.85990 #>  [33678] 100.38426 100.40916  99.91997  99.74969 100.17485 100.56341 100.27462 #>  [33685] 100.13491 100.48881 100.59821  99.86491  99.42837  99.69453  99.56907 #>  [33692] 100.35935  99.82986 100.18483  99.56907 100.06998  99.90495  99.72963 #>  [33699]  99.98500 100.30952 100.15488 100.03999 100.02500  99.54898 100.47885 #>  [33706] 100.14490  99.45351  99.58916  99.65440 100.44401  99.82485  99.73465 #>  [33713]  99.63433  99.95499  99.94999  99.81984 100.21477  99.32271 100.19980 #>  [33720] 100.07497 100.27462 100.22475 100.41414 100.42908  99.60422 100.09495 #>  [33727] 100.12992 100.04499 100.04999 100.09995 100.43406  99.85489 100.02500 #>  [33734] 100.07497  99.90996 100.10494 100.37430 100.22475  99.64939  99.50377 #>  [33741] 100.61809 100.68267  99.98500  99.88994  99.78477  99.99500 100.41414 #>  [33748] 100.22974 100.25966  99.97000  99.64939  99.28243 100.58330  99.82485 #>  [33755]  99.72963 100.08496  99.92998  99.92497  99.79980 100.40418 100.23971 #>  [33762]  99.99500  99.91997 100.10994 100.17485 100.11993  99.60422 100.05498 #>  [33769]  99.99000 100.40916 100.17984  99.94498 100.03000 100.68764  99.73966 #>  [33776]  99.97500 100.28958 100.51368  99.86491 100.20479  99.81483 100.13990 #>  [33783] 100.13491  99.70958 100.16486  99.73465 100.08496  99.75971 100.13990 #>  [33790] 100.20978 100.00000 100.30952 100.03000 100.53855 100.12992  99.88493 #>  [33797] 100.32946 100.17485 100.31949 100.57833 100.28460  99.48869  99.97000 #>  [33804]  99.77976  99.79479 100.42410  99.94498  99.44848  99.83987 100.01000 #>  [33811]  99.80982 100.12492  99.73465  99.59920 100.02000  99.81984 100.28958 #>  [33818]  99.76973  99.72462 100.56341  99.55903 100.11993  99.66945  99.99500 #>  [33825] 100.01000  99.91997 100.03499  99.70958 100.51865  99.91496  99.92998 #>  [33832]  99.90495 100.15987 100.01000  99.86491 100.12492 100.03000  99.99000 #>  [33839]  99.99000 100.36932 100.75217 100.18483 100.49876 100.17485  99.50879 #>  [33846]  99.84989 100.55347 100.33444  99.91496  99.87492 100.03499 100.30454 #>  [33853]  99.84488  99.64437  99.77976 100.18982  99.38310  99.59920  99.94498 #>  [33860] 100.02500 100.60318  99.52387  99.67447 100.57833  99.60924 100.01500 #>  [33867]  99.92497 100.31949  99.79980  99.82485  99.82986  99.75470 100.13491 #>  [33874] 100.37928 100.31949  99.78978  99.84989  99.98000 100.14989 100.13491 #>  [33881] 100.02000 100.25468  99.69453 100.20479 100.58827  99.67949  99.97500 #>  [33888]  99.64437  99.91496 100.04999  99.72963 100.13491  99.66444 100.82658 #>  [33895] 100.16986 100.39422 100.19980 100.09495 100.33444  99.91997 100.12992 #>  [33902]  99.91997 100.35935 100.29457 100.39422 100.22974 100.26964 100.07997 #>  [33909]  99.84488 100.07997 100.09995 100.13990  99.34787  99.59418 100.10494 #>  [33916]  99.89995  99.83987  99.56907 100.14490 100.12492  99.99000 100.16986 #>  [33923] 100.24969  99.78978  99.80481  99.88994  99.91997  99.37807  99.86992 #>  [33930] 100.40418 100.01000  99.99500 100.59821  99.91997 100.11493 100.50871 #>  [33937] 100.21477 100.18982  99.39316 100.13990  99.89494  99.74467  99.47361 #>  [33944] 100.29457 100.33444  99.76973 100.09995  99.82485  99.70958  99.61426 #>  [33951]  99.72462  99.80481 100.10994 100.52860 100.22974  99.89995 100.13491 #>  [33958] 100.09995  99.74969 100.21477 100.14490 100.08996 100.07997  99.67949 #>  [33965]  99.69955  99.73966 100.37430 100.09495 100.03000  99.78978  99.83987 #>  [33972] 100.07997  99.62931 100.51368  99.95499 100.47885  99.56405  99.93498 #>  [33979]  99.90996 100.36932  99.39819 100.34441 100.48881 100.10994  99.78477 #>  [33986]  99.40825  99.39819 100.08496 100.23971  99.90996  99.91496 100.25468 #>  [33993]  99.72462  99.82986 100.15987  99.84488  99.38813 100.03000  99.78477 #>  [34000] 100.04999 100.18483 100.00000 100.18982  99.80982  99.93998  99.99500 #>  [34007]  99.58916 100.65287  99.91997 100.39920  99.78477 100.23472  99.56405 #>  [34014] 100.01500 100.32447 100.30952  99.83987 100.06498 100.32447 100.38924 #>  [34021] 100.10994 100.00000 100.35437  99.89494 100.64790  99.44848  99.84488 #>  [34028]  99.90996  99.90996 100.03999 100.15987 100.42410  99.82485  99.71961 #>  [34035]  99.70958  99.84488 100.03999 100.14490  99.89995 100.41912  99.68952 #>  [34042] 100.04499  99.62429  99.80982 100.00000 100.47388  99.79980  99.83486 #>  [34049] 100.02000 100.36932  99.65440 100.48383 100.18483  99.94999 100.40916 #>  [34056]  99.98500 100.20978  99.53391  99.79479  99.63433 100.16986 100.02000 #>  [34063] 100.34939 100.15987 100.29955  99.97000 100.05498  99.88994  99.85489 #>  [34070]  99.37807  99.64939 100.14490  99.63935 100.22974 100.17485  99.53894 #>  [34077]  99.74969  99.64939  99.75971  99.74467  99.61426 100.50871  99.93498 #>  [34084] 100.29955  99.87492 100.04499 100.15488 100.19980 100.08496  99.65942 #>  [34091] 100.30952 100.13491  99.47864 100.14989 100.01000 100.38426 100.34939 #>  [34098]  99.92998  99.92497  99.91997  99.98500  99.81984 100.05998  99.55903 #>  [34105]  99.61928 100.00000  99.98000  99.52889 100.22475 100.03999  99.80982 #>  [34112] 100.02000  99.90495 100.37430 100.23472 100.09995 100.24470 100.02000 #>  [34119]  99.81483  99.75971  99.39316  99.64939 100.47885 100.26964 100.24470 #>  [34126] 100.16986 100.12992 100.21976  99.82485 100.10494 100.06998  99.87993 #>  [34133] 100.31949  99.62931 100.54352  99.67949 100.56838  99.99000 100.03999 #>  [34140] 100.10494 100.45895  99.58916 100.31949 100.18483  99.69955 100.13990 #>  [34147]  99.97500 100.15987 100.38924 100.24470  99.72963 100.18982  99.79479 #>  [34154]  99.70958  99.76973 100.12992 100.30454  99.93498  99.31767  99.80481 #>  [34161]  99.84989  99.86491  99.93998  99.70958  99.98000 100.09995 100.03999 #>  [34168]  99.89494 100.11993 100.13491 100.21477  99.94498  99.87492  99.55903 #>  [34175] 100.06998  99.92497  99.61928  99.97000  99.81483  99.87492 100.05998 #>  [34182] 100.37928  99.62429 100.47885 100.24470 100.00000 100.22475 100.69757 #>  [34189]  99.53894  99.77976 100.18982 100.16986  99.92998 100.33444  99.38310 #>  [34196]  99.93998  99.76973 100.06498 100.15488 100.08496 100.37430 100.39422 #>  [34203]  99.65942 100.04999  99.98500 100.13491  99.53391  99.52889  99.64939 #>  [34210] 100.29955  99.97500 100.33444  99.95999  99.60422  99.53391 100.60815 #>  [34217]  99.74969  99.71459  99.92497 100.28958  99.81984 100.40916 100.06998 #>  [34224]  99.71961 100.35935 100.30952  99.45351  99.62429 100.03999 100.00500 #>  [34231] 100.30952 100.07497 100.76706 100.05498 100.33942 100.14989 100.16986 #>  [34238]  99.65440 100.31949 100.09495  99.46859  99.73966 100.35935  99.48869 #>  [34245]  99.92497 100.49876  99.85990  99.69453 100.11993 100.11993  99.74467 #>  [34252]  99.45853  99.83987 100.34939  99.84488 100.37430  99.86491 100.63300 #>  [34259]  99.38310  99.97500 100.26964 100.22475  99.98000 100.37928  99.76472 #>  [34266] 100.15488  99.77976  99.72963  99.78477 100.44401 100.20978  99.57409 #>  [34273] 100.26465  99.84989  99.77976 100.39920  99.50879 100.38426  99.70958 #>  [34280] 100.04499  99.85489 100.17984 100.15488 100.42410 100.37430  99.80982 #>  [34287] 100.10494  99.85489 100.80179  99.79980 100.12492 100.85633  99.93998 #>  [34294] 100.07497 100.32946 100.02500  99.77475  99.55903 100.09995 100.09495 #>  [34301] 100.20978 100.58330  99.59920 100.14989 100.15488  99.93498  99.68952 #>  [34308]  99.97500  99.69955 100.27961  99.62931  99.64939 100.28460 100.06998 #>  [34315]  99.90996 100.12492  99.21189  99.80481 100.00500 100.42410  99.83486 #>  [34322] 100.40418 100.25966  99.52387  99.95499  99.58414 100.19980  99.86992 #>  [34329]  99.88994  99.73966  99.90996  99.73465 100.12992  99.91997  99.97000 #>  [34336]  99.68450 100.43904  99.94999 100.34939 100.12492 100.20479  99.80481 #>  [34343] 100.14989 100.34441 100.13990 100.10994  99.72462  99.77475 100.39920 #>  [34350]  99.85990  99.64437 100.36932 100.02500  99.80481 100.12492  99.96499 #>  [34357]  99.63935 100.00500 100.12992 100.10994  99.68952 100.01000  99.72462 #>  [34364] 100.22475  99.86491 100.07497  99.82485 100.41912  99.76973  99.92998 #>  [34371] 100.04499  99.69453  99.39819 100.17984 100.59821 100.02000 100.10494 #>  [34378]  99.97000  99.94999 100.21976  99.75971 100.06998  99.84989  99.96499 #>  [34385] 100.63797  99.95999  99.54898 100.22475 100.03000 100.30952 100.10994 #>  [34392]  99.68450 100.12492 100.04999  99.94498 100.43904 100.35437 100.38924 #>  [34399]  99.95499  99.99000 100.23971 100.03999 100.76706 100.36932 100.16986 #>  [34406] 100.25468  99.87993 100.12492 100.04999 100.47388  99.91496  99.77475 #>  [34413] 100.18982  99.67447  99.67949 100.30952  99.85489  99.92497 100.28958 #>  [34420]  99.98000  99.43842 100.15488 100.04499 100.54352  99.81984 100.37430 #>  [34427] 100.44401  99.93998  99.67447  99.98000  99.72963  99.72462 100.39920 #>  [34434] 100.27961  99.95999 100.22475 100.04499  99.91496  99.97000  99.66444 #>  [34441] 100.04499 100.21976 100.03999 100.12492  99.95499 100.03000 100.02500 #>  [34448]  99.73966  99.54898 100.14989  99.67949 100.20479 100.14490  99.91496 #>  [34455] 100.05498  99.78978 100.17485 100.18982 100.32946  99.90996 100.03000 #>  [34462]  99.94999 100.53855 100.13990  99.80481  99.85489  99.76973 100.01000 #>  [34469]  99.98500  99.51382  99.94498 100.34441  99.97000 100.33444  99.91997 #>  [34476]  99.80982 100.13990 100.05498 100.06998  99.86491  99.51382  99.42334 #>  [34483] 100.13990 100.02500  99.52889 100.52860 100.43406  99.75971  99.77976 #>  [34490]  99.65440 100.01000  99.95999  99.62429  99.93998  99.47361 100.17984 #>  [34497]  99.99000  99.75470  99.62931  99.62429 100.36932  99.86992  99.38310 #>  [34504] 100.17485 100.05498 100.02000  99.52387  99.88994 100.14490  99.92998 #>  [34511] 100.28460 100.10494 100.48881 100.18483  99.67447  99.92497 100.00500 #>  [34518] 100.00000 100.05498 100.05498  99.64939  99.89995  99.92998  99.93498 #>  [34525] 100.10994 100.55844 100.28958 100.38924  99.75470 100.56838 100.07497 #>  [34532]  99.80481  99.69453 100.18982  99.68952  99.58414 100.18483 100.02000 #>  [34539]  99.84989 100.07997  99.81483 100.24969  99.82485 100.06998 100.01000 #>  [34546]  99.51382 100.44401 100.01500 100.30454 100.03499  99.98500 100.12492 #>  [34553]  99.76973 100.18483 100.13491 100.25468 100.17485 100.27961 100.13491 #>  [34560]  99.93998  99.58414 100.35437  99.93498 100.11993 100.11993  99.59418 #>  [34567] 100.15987 100.07997  99.87993  99.85990 100.04499 100.04499  99.43339 #>  [34574] 100.22475 100.04499 100.01000  99.83486 100.12492 100.04999 100.19980 #>  [34581]  99.83987 100.08996  99.82485 100.35935 100.12992  99.89995  99.93498 #>  [34588] 100.06998 100.42410 100.27961 100.34441  99.82986 100.05998 100.15987 #>  [34595]  99.97500  99.30257  99.43339  99.88493 100.17485  99.67447  99.58916 #>  [34602]  99.57911 100.44899 100.91581  99.91997  99.99000  99.69453  99.70958 #>  [34609]  99.41831  99.94999  99.45853  99.98500 100.19481 100.19980 100.05498 #>  [34616] 100.32946  99.62931  99.20685 100.66280 100.07997  99.72963  99.81984 #>  [34623] 100.28958  99.41831 100.08996 100.22475  99.88493  99.68952 100.31949 #>  [34630] 100.03000 100.19481  99.85990 100.03499 100.84146 100.00500 100.01500 #>  [34637] 100.26964 100.17485  99.75971  99.84989 100.53855  99.73966 100.23971 #>  [34644] 100.11993  99.84989 100.11993 100.09995  99.55401 100.25966 100.24470 #>  [34651]  99.54898 100.17485  99.43339 100.13990 100.31451 100.44899  99.75971 #>  [34658] 100.13491  99.83987  99.48367 100.11493 100.40916  99.45853 100.54352 #>  [34665]  99.90495 100.30952 100.05498 100.10494  99.96499 100.04499 100.00500 #>  [34672]  99.88493  99.71961  99.80982 100.13491  99.44345  99.91496  99.90495 #>  [34679] 100.10494  99.87492  99.82485 100.03499 100.07497  99.82986 100.15488 #>  [34686]  99.60924 100.06498  99.89494 100.06498 100.09495 100.09495 100.21976 #>  [34693]  99.69453  99.83486  99.60422 100.21976 100.00500 100.20978  99.64939 #>  [34700] 100.02000 100.58330  99.82485 100.03999  99.57409  99.90495  99.59418 #>  [34707]  99.86992  99.96499  99.73966 100.05498  99.87492  99.56907  99.80481 #>  [34714] 100.03000 100.25468 100.62803 100.62803 100.24470  99.92497  99.61426 #>  [34721] 100.11993  99.80481 100.17984 100.47388 100.01500 100.04499  99.41831 #>  [34728]  99.90996 100.08996  99.55903 100.27462 100.04499 100.11993  99.98000 #>  [34735] 100.06998 100.10494 100.11493  99.82986  99.90495 100.20479 100.43904 #>  [34742] 100.22475  99.75971  99.93498 100.22974 100.33942 100.14490  99.90495 #>  [34749] 100.23472 100.57833  99.49874 100.15488  99.67447  99.78978  99.71459 #>  [34756] 100.13990 100.08996 100.32946  99.89494 100.09495  99.84989  99.85990 #>  [34763]  99.90996 100.26465  99.76973  99.88994 100.43904 100.13990 100.33942 #>  [34770] 100.34441  99.95999 100.53855 100.04499  99.79980 100.02500 100.02500 #>  [34777]  99.87492  99.99000 100.21976  99.73465 100.30454 100.35935  99.81483 #>  [34784]  99.53391  99.95499 100.02000 100.01500  99.86992 100.28460 100.11493 #>  [34791] 100.57833  99.89494 100.15987  99.89494 100.17984  99.75470  99.60924 #>  [34798]  99.76973  99.61426 100.39422 100.03999 100.24969  99.78477 100.14490 #>  [34805]  99.32271 100.24969 100.14989 100.32946 100.08496  99.98000 100.49876 #>  [34812] 100.11493  99.33277  99.98500  99.07573  99.89995  99.88493 100.09995 #>  [34819]  99.91496  99.92497  99.64437 100.14490  99.97500  99.64939 100.20978 #>  [34826]  99.58916 100.39422  99.83486 100.09495  99.90996 100.18483  99.83987 #>  [34833] 100.60318 100.68764 100.25966 100.34939 100.46392  99.84989  99.72963 #>  [34840] 100.03999 100.40418 100.35935  99.72963  99.83987  99.91496  99.68952 #>  [34847]  99.45351  99.93998  99.62931  99.88994 100.23472  99.84989 100.49378 #>  [34854]  99.88994 100.01500  99.73465 100.00500  99.93498  99.58414 100.03000 #>  [34861] 100.34939 100.15488 100.45895 100.74721  99.87993  99.68450 100.25468 #>  [34868]  99.99000  99.78978  99.96499  99.81483  99.44345  99.96499 100.00000 #>  [34875] 100.02500 100.16986 100.06498  99.94498  99.82485  99.62429 100.15987 #>  [34882] 100.07497  99.98000  99.40322  99.56907 100.08496 100.22475  99.54396 #>  [34889] 100.13990 100.12492  99.93998  99.45853  99.77976  99.85990  99.80982 #>  [34896] 100.51368 100.07997  99.99000  99.57911 100.64790  99.99000 100.12492 #>  [34903]  99.69955 100.16486  99.98500  99.83486 100.23971 100.09995  99.72963 #>  [34910]  99.85990 100.25468 100.09495 100.11993  99.99500  99.64939 100.21477 #>  [34917] 100.06998 100.47885  99.38310  99.99000 100.03499 100.07997 100.28460 #>  [34924]  99.89494  99.66444 100.03499  99.36297 100.19481 100.02000 100.38426 #>  [34931] 100.14989 100.20479 100.12992  99.81483 100.02500  99.56907  99.59418 #>  [34938] 100.49378 100.07997 100.04999 100.50871 100.00500  99.87993  99.86992 #>  [34945] 100.35437  99.58916  99.92998 100.04499  99.71961 100.52860 100.39920 #>  [34952]  99.80982  99.91997 100.33942 100.00000  99.52387 100.05998 100.03499 #>  [34959] 100.47885  99.94999 100.01000  99.99500 100.20978 100.21477  99.75971 #>  [34966] 100.19980 100.21976  99.76973 100.66777  99.80481 100.39920  99.97500 #>  [34973]  99.79980  99.50879 100.15488 100.24969  99.70456  99.67447  99.97000 #>  [34980] 100.13491 100.03999  99.92497  99.49874  99.52889  99.98000 100.25468 #>  [34987] 100.25468 100.23472 100.30454  99.92497  99.80982 100.27961  99.80982 #>  [34994] 100.00000  99.85990 100.13491  99.74969  99.69453 100.13491 100.13491 #>  [35001] 100.05498  99.57409  99.86992 100.20479 100.19980 100.33444  99.50879 #>  [35008]  99.66945 100.27462 100.17485 100.04999 100.21477 100.44899 100.27961 #>  [35015] 100.04999  99.92497  99.89995  99.74467 100.15488 100.15987  99.89494 #>  [35022] 100.03499 100.28460  99.66945 100.22974 100.43904 100.36932  99.76472 #>  [35029] 100.37928 100.26964 100.29955  99.73966 100.18483  99.80481  99.95999 #>  [35036]  99.40825 100.34441  99.86491  99.85489  99.60924  99.61928 100.01500 #>  [35043]  99.81984  99.91997  99.61426 100.24470  99.89995  99.81984  99.72963 #>  [35050] 100.09995 100.52860 100.24969  99.91997  99.97500 100.06498  99.35291 #>  [35057] 100.22974  99.89494 100.34939 100.04999  99.91997 100.09495 100.25966 #>  [35064]  99.91496  99.94498  99.61928  99.57911  99.50879  99.64939 100.36434 #>  [35071]  99.99500  99.93998 100.03499 100.04999  99.83987 100.01500  99.48869 #>  [35078]  99.94999 100.04999 100.10994  99.71459 100.16486  99.97000  99.99500 #>  [35085]  99.79980 100.02500  99.83987 100.27961  99.73966 100.29457  99.83987 #>  [35092] 100.30952 100.02500 100.12492  99.70456 100.24470 100.14989 100.60318 #>  [35099] 100.19481 100.22475  99.78477 100.31949  99.69453  99.96499 100.04999 #>  [35106] 100.15987  99.77976 100.17984 100.02000  99.73966 100.17485 100.14989 #>  [35113]  99.81984  99.72462  99.88493  99.87492  99.91496 100.21976  99.72462 #>  [35120]  99.65942  99.29250 100.31949  99.94498 100.60318 100.03499 100.33444 #>  [35127] 100.18982 100.05998 100.18982 100.22475 100.25468  99.88994 100.37430 #>  [35134]  99.97000 100.08496  99.76973 100.20479  99.86491  99.84989  99.79479 #>  [35141]  99.83987 100.26964 100.43406  99.51884 100.00000 100.15987 100.32946 #>  [35148]  99.96499  99.91496 100.43904  99.95999  99.51382 100.01500  99.54396 #>  [35155]  99.94498 100.18483  99.62429  99.72462 100.31949  99.50377  99.89995 #>  [35162]  99.55401  99.68450  99.88994  99.41831 100.01000  99.58414  99.75470 #>  [35169] 100.79186  99.64437 100.04999 100.35437  99.48367  99.98500 100.42908 #>  [35176]  99.90996  99.90495  99.74467  99.62429 100.33942 100.25966  99.98000 #>  [35183]  99.88493  99.99000  99.56907  99.68952 100.41912 100.39422  99.77475 #>  [35190]  99.91997  99.98000 100.15488  99.60422 100.09995  99.89494 100.43406 #>  [35197] 100.18483 100.11993  99.26732  99.84989 100.41912  99.79479  99.79479 #>  [35204]  99.72462 100.17485 100.06498 100.03000 100.00000 100.16486  99.92998 #>  [35211]  99.81984 100.54850  99.50879  99.64939 100.09495  99.76472  99.72963 #>  [35218] 100.17984  99.75470  99.84989  99.73465  99.46859  99.51884 100.00500 #>  [35225] 100.12992  99.55401  99.88493  99.71459  99.89494  99.96499  99.67949 #>  [35232] 100.32946  99.77976 100.02000  99.84989 100.22974 100.12992 100.28460 #>  [35239] 100.01500  99.69453  99.45853 100.07497  99.84989  99.70958  99.69453 #>  [35246] 100.08996 100.37430  99.65942 100.14490  99.88493  99.75470 100.09995 #>  [35253] 100.51865  99.79479  99.76973 100.33942 100.40916 100.50373  99.82485 #>  [35260]  99.90495 100.39422  99.59920 100.00000 100.15488 100.75217  99.48367 #>  [35267] 100.45895  99.94999 100.39920 100.32447 100.67274  99.71459  99.97500 #>  [35274] 100.08496 100.22974  99.72462 100.09495 100.11493 100.16486  99.96499 #>  [35281] 100.23472 100.33444 100.12492  99.66444 100.23472  99.98500 100.24969 #>  [35288] 100.09995 100.25966  99.94498  99.81984  99.93498  99.98000  99.62429 #>  [35295]  99.73465 100.57833 100.09495 100.56838  99.66945  99.81483 100.09995 #>  [35302]  99.77475  99.84989  99.72963  99.63433  99.53894  99.98000  99.73966 #>  [35309]  99.91496  99.86992 100.04499 100.11493 100.15987 100.39920  99.83486 #>  [35316] 100.25966 100.11493  99.86992 100.24470  99.66444 100.36434 100.42908 #>  [35323] 100.27961  99.90996 100.13491  99.37303 100.38924 100.11493  99.77475 #>  [35330]  99.80982 100.48383  99.93998 100.36434  99.72963 100.23971 100.63300 #>  [35337] 100.54850  99.84989  99.91997 100.00000 100.61312 100.35935  99.80481 #>  [35344] 100.07997  99.94999 100.29955  99.77976 100.34441 100.07997 100.06498 #>  [35351] 100.42410 100.00500 100.30952 100.10494 100.31949  99.61426  99.75470 #>  [35358]  99.51382 100.13990 100.13990 100.44899 100.05998 100.44401 100.05498 #>  [35365]  99.83987  99.59920 100.18982 100.01000 100.07497 100.09495  99.91997 #>  [35372]  99.88493 100.03999 100.07497  99.78477  99.53894 100.23472 100.18982 #>  [35379] 100.24969 100.04499 100.26465 100.10494 100.09995  99.63433 100.67770 #>  [35386]  99.38310  99.76472 100.10494 100.13990 100.18483 100.54850 100.26465 #>  [35393] 100.22974  99.65942 100.20978 100.16486  99.90996  99.92497  99.98500 #>  [35400] 100.53358  99.66945  99.63433  99.84488  99.78978 100.75713 100.36932 #>  [35407] 100.16486 100.43904  99.93998  99.56907  99.82986 100.21976 100.01000 #>  [35414] 100.41414  99.74969  99.67447  99.60422  99.80481  99.79479  99.74467 #>  [35421] 100.01000  99.92998  99.60422 100.07997  99.93498 100.03999 100.44899 #>  [35428] 100.02500  99.97000 100.07497  99.64939 100.11493  99.88493  99.82986 #>  [35435] 100.30454  99.51382 100.32447  99.91496  99.81483  99.68952  99.83987 #>  [35442]  99.65942  99.58414  99.78477  99.96499  99.86992  99.69453 100.10494 #>  [35449]  99.89494  99.71961 100.10494  99.92497  99.82485  99.95999  99.76973 #>  [35456]  99.64939 100.08496  99.69453  99.90996  99.64939 100.13491  99.30257 #>  [35463] 100.30454  99.80481  99.80982  99.94999 100.01500 100.20978 100.29955 #>  [35470] 100.04499 100.26964 100.05998  99.93998  99.87492 100.34939 100.35437 #>  [35477]  99.48367 100.37928  99.57911  99.70958  99.66945  99.47864  99.74969 #>  [35484] 100.43406  99.45853  99.47864 100.06998  99.94498  99.76973 100.04499 #>  [35491]  99.94498  99.92497  99.75470 100.33942  99.55903  99.33277  99.63433 #>  [35498] 100.18982  99.80481 100.02500 100.48383 100.43904  99.85990  99.56907 #>  [35505] 100.30454  99.83486  99.91997 100.19980 100.24470  99.34787  99.86491 #>  [35512]  99.91496  99.87993 100.55844 100.01000 100.03000  99.55903 100.25468 #>  [35519] 100.11493 100.59324 100.32946  99.80982 100.09995 100.05498  99.93998 #>  [35526]  99.91997  99.79479 100.16986  99.64437 100.13491 100.33942 100.47388 #>  [35533]  99.76472  99.69955 100.15987  99.60924  99.67949 100.62306 100.25966 #>  [35540] 100.36932 100.03999  99.70456  99.69955 100.64293 100.17984 100.21976 #>  [35547]  99.64939 100.50871 100.72239  99.66945 100.05498 100.01500  99.98000 #>  [35554]  99.78978  99.69955 100.30454 100.26465 100.05998 100.05498  99.77475 #>  [35561]  99.91496  98.99495 100.32946 100.02000 100.22974 100.47885 100.12492 #>  [35568]  99.66945 100.03499  99.61928 100.21976 100.06998  99.76973  99.61426 #>  [35575] 100.06498  99.66945 100.48881 100.14989 100.35935 100.12992  99.87492 #>  [35582] 100.18982  99.94999  99.72462  99.97000  99.90495 100.02500  99.77475 #>  [35589] 100.05498  99.49372  99.91496 100.09995  99.48869 100.30952  99.98000 #>  [35596]  99.46356  99.69955 100.04999  99.61928  99.73966  99.48869 100.37928 #>  [35603]  99.59418  99.63433  99.93498 100.04999  99.91496 100.20479  99.93998 #>  [35610] 100.40916 100.04499 100.45895 100.37430  99.43842 100.13990  99.87993 #>  [35617]  99.97500  99.75971 100.35437  99.84488  99.95999  99.85489  99.55903 #>  [35624] 100.13491  99.57911  99.99500  99.99000  99.58916 100.02000  99.78477 #>  [35631]  99.71961 100.07497  99.72963 100.38426 100.80179  99.94498 100.50373 #>  [35638]  99.75971  99.76472  99.86491  99.49874  99.72462  99.87492 100.49876 #>  [35645] 100.02500  99.93498  99.70456 100.37928  99.69955 100.58330 100.00000 #>  [35652]  99.68952 100.16486  99.98500 100.36932  99.85489 100.57833 100.24969 #>  [35659]  99.61426 100.03999 100.09495  99.60422  99.92497 100.30952 100.09495 #>  [35666]  99.85489 100.71246  99.97000 100.03999 100.15987 100.30454 100.36434 #>  [35673] 100.20479  99.77976 100.33444  99.68952  99.74467  99.85990  99.91997 #>  [35680] 100.66280 100.06998  99.83987  99.78477 100.17984 100.07497 100.45397 #>  [35687] 100.19481  99.83987 100.30952 100.10494  99.70456 100.03999  99.54898 #>  [35694] 100.16486  99.95499  99.76472 100.35437  99.71459  99.97000 100.46392 #>  [35701] 100.36932  99.72963 100.34441 100.21976 100.19980  99.74969  99.71459 #>  [35708] 100.46392  99.71459  99.96499  99.96499  99.95999  99.94498 100.56341 #>  [35715]  99.61928  99.74969 100.22475  99.51382  99.56405  99.81483  99.89494 #>  [35722]  99.79980  99.82485  99.94498 100.01000 100.32946  99.77976  99.90996 #>  [35729]  99.88994 100.23971  99.27739 100.31451 100.00500 100.64790  99.97000 #>  [35736] 100.24969 100.28958 100.57336 100.08496  99.90996 100.26964 100.16486 #>  [35743] 100.31949 100.03000 100.22974  99.76472 100.08996 100.20978 100.62803 #>  [35750] 100.04499  99.64939 100.17485  99.99000 100.32946  99.99500  99.83486 #>  [35757]  99.77475  99.43842 100.08496 100.23472  99.58414  99.50879 100.29457 #>  [35764]  99.85489 100.12992  99.98000 100.16486  99.68450 100.04999  99.84488 #>  [35771]  99.81483 100.04999  99.54898 100.10494 100.07997  99.62931  99.73465 #>  [35778] 100.10994  99.40825 100.16486  99.84488 100.71743  99.61928  99.62931 #>  [35785]  99.96499  99.68952 100.25966 100.14490 100.39422 100.13990  99.57409 #>  [35792]  99.72462  99.54396 100.24470  99.92998  99.82485 100.00500  99.92998 #>  [35799] 100.23971  99.96499 100.20978 100.00500  99.96499 100.45895 100.23472 #>  [35806]  99.74467  99.65440 100.35437 100.14989 100.19481  99.94498 100.07997 #>  [35813] 100.11993 100.08496  99.55401  99.95499 100.11493 100.04999  99.78477 #>  [35820]  99.64939 100.16986  99.99500  99.72963 100.03000  99.92497 100.20978 #>  [35827] 100.21976 100.38924 100.08996  99.79980 100.46392  99.89494  99.98500 #>  [35834] 100.31949 100.45895 100.12992  99.80982  99.76472 100.15987 100.04499 #>  [35841] 100.18982 100.45895  99.82986 100.02000  99.43842 100.42908  99.74467 #>  [35848]  99.47864 100.03000 100.15488 100.00500  99.85990 100.23472  99.60924 #>  [35855]  99.30257  99.81984  99.86992 100.41414 100.00000  99.81483 100.44401 #>  [35862] 100.49378  99.96499 100.13491 100.04499  99.68450 100.01500 100.21976 #>  [35869]  99.96499 100.29955  99.79479 100.25966  99.93998  99.74969 100.38924 #>  [35876] 100.10994 100.29955  99.60422  99.82986 100.20479 100.36434  99.78477 #>  [35883] 100.06998  99.93998 100.04499 100.31949  99.70456  99.97500 100.73232 #>  [35890] 100.25966 100.02500 100.47388 100.49378 100.12992  99.40825 100.10494 #>  [35897] 100.03499 100.16486  99.94498  99.65440  99.66444 100.43904 100.09995 #>  [35904] 100.25966 100.01000  99.93998  99.40825  99.55903 100.20978 100.11493 #>  [35911] 100.10994  99.95499  99.89494 100.01500  99.99000  99.68952 100.23472 #>  [35918]  99.88493 100.24969 100.02000  99.69453 100.00000  99.81984  99.86491 #>  [35925] 100.06498 100.22475 100.41414  99.98000  99.64939 100.31451  99.99000 #>  [35932] 100.78690  99.83987 100.22974 100.21976  99.87492 100.08496 100.02000 #>  [35939] 100.29457 100.22475 100.02000  99.80982 100.41414  99.88493 100.31949 #>  [35946] 100.03999  99.92998 100.29955 100.58330  99.84488 100.27462  99.82485 #>  [35953]  99.53391 100.15488  99.78978 100.06498  99.71961  99.73465 100.40418 #>  [35960] 100.36434 100.22475  99.76472  99.77475 100.43904 100.15488 100.09495 #>  [35967]  99.74467 100.31949  99.51884  99.69955  99.79479 100.04999  99.67949 #>  [35974] 100.11993  99.94999  99.55401 100.06498 100.42410 100.25468  99.97500 #>  [35981] 100.31451  99.71459 100.18982 100.48881 100.10994 100.07497 100.11493 #>  [35988] 100.07997  99.23205 100.04499 100.62306  99.84488 100.56838 100.53358 #>  [35995] 100.12492 100.00000  99.87993  99.66945  99.50879  99.83987  99.38310 #>  [36002]  99.75971  99.67447  99.42334  99.78477 100.20479  99.92998 100.60318 #>  [36009]  99.93998  99.69955 100.34441 100.03999 100.10494 100.07997 100.22475 #>  [36016] 100.19980  99.93998 100.33942  99.62931  99.70958 100.27961  99.99000 #>  [36023] 100.27462 100.05998  99.64437 100.41414 100.21976  99.95999  99.85990 #>  [36030]  99.80982 100.32946 100.63797  99.71459  99.74969  99.72462  99.50879 #>  [36037] 100.04999  99.66945  99.89995 100.25468 100.41414  99.98000 100.11993 #>  [36044] 100.15488  99.90495 100.20978 100.07497  99.99000  99.78978  99.86491 #>  [36051]  99.99000  99.99000  99.97000 100.70750 100.30952 100.20978  99.31264 #>  [36058]  99.94498  99.97000  99.58414 100.14490 100.00500  99.96499 100.03999 #>  [36065] 100.22475  99.80982  99.94498 100.18483  99.43842  99.97000  99.70958 #>  [36072] 100.17984  99.76472 100.13491 100.40916 100.03499 100.27961 100.13491 #>  [36079]  99.94498 100.21976  99.57409 100.64790 100.27462 100.40418 100.03999 #>  [36086] 100.66280 100.10494  99.89494  99.76973  99.70958  99.54396  99.85990 #>  [36093]  99.30257  99.63433 100.31451  99.50377  99.77976 100.46392 100.01000 #>  [36100] 100.62306  99.81483  99.36800 100.09995  99.83987 100.04999 100.32447 #>  [36107]  99.83987  99.78978 100.54352 100.11493 100.20479  99.70456 100.45397 #>  [36114]  99.91997  99.82485  99.84989 100.26964  99.77976 100.00000  99.95499 #>  [36121] 100.07497 100.28460  99.64437  99.70958  99.57911 100.36932  99.38310 #>  [36128]  99.93498 100.16486 100.22974  99.56907  99.88994 100.44899  99.21693 #>  [36135]  99.81984  99.93498 100.26964 100.08496  99.53391  99.93998 100.13491 #>  [36142] 100.29457 100.06998  99.20685 100.02500  99.50879 100.08996  99.93998 #>  [36149] 100.14490  99.79479 100.03999 100.19481 100.03499 100.44899  99.97500 #>  [36156] 100.27961  99.57911 100.03000 100.62306  99.88994  99.92497 100.44899 #>  [36163] 100.15987  99.69955 100.49876  99.44345 100.31949  99.50879 100.15987 #>  [36170]  99.70958 100.40916  99.84488  99.97000  99.79980  99.86491 100.12992 #>  [36177] 100.27961  99.95999  99.94498  99.90495 100.14490 100.43406  99.71459 #>  [36184]  99.91997  99.67447 100.16986 100.39920  99.90996  99.68952  99.74969 #>  [36191] 100.07497 100.10494  99.97000  99.94498  99.83486 100.13990  99.75971 #>  [36198]  99.83987  99.84989  99.97000 100.20978 100.52363  99.87993  99.44345 #>  [36205]  99.66444 100.00500 100.21477  99.58414  99.92497 100.52363  99.62931 #>  [36212] 100.18982 100.21976 100.20978  99.87993 100.06498  99.88994  99.82986 #>  [36219] 100.08496  99.75971 100.18982 100.04499 100.09995  99.74467 100.38426 #>  [36226]  99.79980  99.48869 100.27462  99.81984 100.09995 100.33942 100.29457 #>  [36233] 100.44401 100.06998 100.22974  99.75470  99.91496  99.59920 100.08496 #>  [36240] 100.11993 100.30952 100.23971  99.88994 100.07497  99.89494 100.10994 #>  [36247] 100.02500  99.49372 100.14989  99.90996 100.13990  99.86992  99.89995 #>  [36254] 100.02000  99.72462 100.09495 100.24470  99.89995  99.92497  99.96499 #>  [36261]  99.72462 100.44401  99.85489 100.32946 100.28958  99.81984 100.13990 #>  [36268] 100.04499 100.02500 100.04999 100.00500  99.84488 100.22475 100.46890 #>  [36275] 100.22475  99.51382 100.05998  99.91997 100.01500 100.04999  99.70456 #>  [36282] 100.43904  99.89995 100.08996 100.18982  99.66945 100.41912 100.37430 #>  [36289]  99.96499 100.13491 100.15987 100.23472  99.97500  99.79980 100.21477 #>  [36296] 100.28460  99.91997 100.26465 100.08496  99.71961  99.56405  99.89995 #>  [36303] 100.11993  99.94498 100.31949  99.83987 100.23971  99.84989 100.03000 #>  [36310]  99.98500  99.91997  99.85990  99.97000  99.98000 100.40418 100.55844 #>  [36317] 100.15488 100.06998 100.38924  99.84488 100.22974  99.60924  99.74969 #>  [36324] 100.10494  99.96499  99.88994  99.84989 100.17984 100.05998 100.63797 #>  [36331]  99.98500  99.87993 100.17485  99.89494 100.16486  99.79980 100.10494 #>  [36338]  99.81483 100.22974  99.85489 100.00500  99.68952 100.10494  99.58916 #>  [36345] 100.05498 100.03999 100.09495 100.37430 100.17485  99.85990  99.53894 #>  [36352]  99.83486 100.06498  99.70456 100.22974 100.17984 100.10494 100.39422 #>  [36359] 100.00000  99.78978  99.38813  99.79980 100.40418  99.64939 100.03499 #>  [36366]  99.66444 100.19980  99.52889 100.32946 100.37430 100.30952  99.61426 #>  [36373]  99.64939  99.87492 100.09995 100.52363 100.01000  99.61426 100.32946 #>  [36380]  99.91997 100.03999  99.78978  99.74969  99.84488 100.21477 100.20978 #>  [36387]  99.65942  99.38813  99.83987 100.12492  99.61426  99.90495 100.01500 #>  [36394]  99.90996  99.53894  99.76973 100.33942 100.11993  99.91997 100.13491 #>  [36401]  99.90495  99.92497 100.19980  99.96499 100.76210 100.05998 100.04499 #>  [36408] 100.25966  99.96499 100.35935  99.61928 100.02500  99.99000  99.59418 #>  [36415] 100.47885  99.52387 100.24470 100.17984  99.84488 100.43904  99.63433 #>  [36422]  99.59920  99.84488 100.18982  99.96499 100.26465 100.14490  99.40322 #>  [36429]  99.85990 100.21477  99.79479 100.16486 100.40418  99.53894  99.79479 #>  [36436]  99.74969 100.32946  99.72963 100.27462  99.83987  99.79479 100.17485 #>  [36443]  99.91496 100.20479 100.05498  99.73465 100.26964  99.68450  99.91997 #>  [36450] 100.32447  99.86491  99.69955 100.02000  99.65942 100.09495 100.40916 #>  [36457]  99.72462  99.78978  99.70958  99.89995  99.73966  99.53391  99.99000 #>  [36464] 100.08996  99.83987  99.93998 100.13990  99.89494 100.00500 100.22475 #>  [36471]  99.71961 100.04499 100.06498  99.77475  99.93998 100.03999  99.69955 #>  [36478]  99.38813 100.20479 100.09495  99.58916  99.75470 100.26964  99.61928 #>  [36485] 100.64293 100.02500 100.21477 100.15987 100.34441  99.54396  99.49874 #>  [36492] 100.20479  99.99500 100.36434 100.34441  99.46356 100.09495 100.20978 #>  [36499] 100.14989 100.25966  99.58916  99.90996 100.32447 100.17485  99.65942 #>  [36506] 100.32946 100.18483 100.10494 100.57833  99.71459  99.91496 100.03499 #>  [36513]  99.89995  99.85990 100.08496 100.55844  99.94999  99.70456  99.93998 #>  [36520]  99.89494 100.03999 100.02000 100.20479  99.85990 100.39422  99.89494 #>  [36527] 100.01500  99.71961  99.84488 100.43904  99.99000 100.06998 100.14490 #>  [36534]  99.71961  99.74467  99.80481  99.95999  99.80982 100.01000 100.00500 #>  [36541]  99.85489  99.72963  99.79980  99.56907  99.87993  99.66945 100.15488 #>  [36548]  99.96499  99.62429 100.06998 100.11493  99.93998 100.16486 100.43406 #>  [36555] 100.48881  99.90996  99.60422 100.41414 100.14490  99.71961  99.95999 #>  [36562]  99.91997 100.16986  99.76973 100.26964 100.17984 100.41414  99.60422 #>  [36569] 100.10494  99.95499  99.77976  99.94498  99.68450  99.47864 100.07997 #>  [36576]  99.60422  99.40825 100.10494  99.88994 100.71246 100.48881  99.87492 #>  [36583] 100.32447  99.86992  99.90495 100.49378  99.97000 100.29457 100.49378 #>  [36590] 100.57336 100.18982  99.78477  99.88493 100.12992 100.01500 100.23472 #>  [36597] 100.16486 100.02500 100.46392 100.00000 100.50373 100.33444  99.80481 #>  [36604]  99.79479  99.80481 100.04499 100.49378 100.76210 100.51368  99.45351 #>  [36611]  99.98500  99.88493  99.81984  99.90495 100.14989 100.04499  99.72462 #>  [36618] 100.25966 100.08496  99.27235 100.38426  99.85990 100.01000  99.58414 #>  [36625]  99.94498 100.02000  99.75470  99.85990 100.40916 100.02000 100.20978 #>  [36632]  99.83987 100.22475 100.40916 100.46392  99.74969  99.80982  99.89995 #>  [36639]  99.91997  99.95499 100.22974  99.59418  99.92998 100.25468  99.48869 #>  [36646]  99.79479 100.23472 100.02500 100.21976  99.85990  99.98500 100.32946 #>  [36653]  99.59920  99.97000 100.03999  99.57409 100.07997 100.05998 100.65287 #>  [36660]  99.99500  99.83987  99.61426 100.05498 100.04999 100.15987 100.15987 #>  [36667] 100.22974 100.29457  99.57911 100.32447  99.29250 100.53855 100.16986 #>  [36674] 100.13990 100.05498 100.24470  99.68952 100.03000  99.52387 100.41912 #>  [36681]  99.78978 100.43904 100.60815 100.02000 100.04499 100.01500 100.12492 #>  [36688]  99.83486 100.27462  99.79479 100.03499 100.04999 100.14490 100.19481 #>  [36695] 100.06998 100.00000 100.11493  99.61426  99.66444 100.32447  99.91496 #>  [36702]  99.76472  99.85990 100.67770  99.86491  99.92998  99.95999 100.04999 #>  [36709]  99.79479 100.09995  99.26732 100.18483 100.05998 100.19481 100.23971 #>  [36716] 100.18982 100.20978  99.64437  99.81483  99.83987 100.04499  99.73465 #>  [36723]  99.68952 100.30454  99.70456  99.96499  99.96499  99.28243 100.08996 #>  [36730] 100.11493  99.64437  99.90996  99.49874 100.18483  99.67949  99.60422 #>  [36737]  99.39819 100.41414  99.65942  99.90996  99.79479  99.62429 100.07497 #>  [36744] 100.25468  99.62429 100.05498 100.14490  99.84989  99.78978  99.98500 #>  [36751]  99.90996  99.66444  99.87492 100.23971  99.79980 100.26964  99.57409 #>  [36758]  99.81984  99.74467  99.97000 100.48383 100.23472 100.60815 100.21976 #>  [36765] 100.01000 100.17984  99.83486  99.82485 100.06498 100.09995 100.08496 #>  [36772] 100.65287  99.75971 100.17984  99.77475 100.10994 100.74721  99.72462 #>  [36779]  99.92497 100.06998 100.40916 100.08996  99.90996  99.36297  99.76472 #>  [36786]  99.47864  99.68450  99.84989  99.86491  99.83486 100.20479 100.21477 #>  [36793]  99.41328  99.57911 100.15488 100.82162  99.69955 100.44899  99.82986 #>  [36800]  99.89494 100.06998  99.52387 100.03000  99.71459 100.04499 100.32447 #>  [36807]  99.94999  99.71459 100.09495 100.12992  99.78978 100.44401 100.14989 #>  [36814]  99.79980 100.21976 100.30952  99.78978 100.15488  99.56405 100.22974 #>  [36821] 100.44401  99.95999 100.31949 100.34939  99.66945  99.85990 100.14989 #>  [36828] 100.37928 100.32946 100.42410  99.59418 100.63300 100.24470  99.33781 #>  [36835]  99.68450 100.11993  99.53391 100.12992 100.08996  99.87993  99.82485 #>  [36842]  99.93998  99.76973 100.51865  99.91496 100.01500 100.23971  99.77475 #>  [36849] 100.39422  99.40825  99.63433  99.34284 100.05498  99.99000  99.86491 #>  [36856] 100.25966 100.06998 100.45895 100.22974 100.04499  99.44345  99.70456 #>  [36863] 100.26465  99.63433 100.44899 100.62803 100.34441  99.99000 100.04999 #>  [36870] 100.22475 100.30454  99.77475 100.36932  99.92497 100.31451 100.01500 #>  [36877] 100.28958 100.14989 100.50373  99.76472  99.51884 100.65287  99.89494 #>  [36884] 100.40916 100.01000 100.04999  99.75470 100.33942 100.17984 100.14989 #>  [36891] 100.40418 100.29955  99.86992 100.68267  99.68450 100.11993 100.10494 #>  [36898]  99.86491 100.26465 100.33942  99.70958 100.12992 100.02500 100.20479 #>  [36905] 100.15488  99.72462  99.78477 100.09495 100.06498 100.08996  99.84989 #>  [36912]  99.74969  99.49874  99.69955 100.40418 100.02000  99.80481  99.95499 #>  [36919]  99.40322 100.28958 100.16486 100.32946  99.93998 100.31949 100.08496 #>  [36926] 100.01000  99.59418 100.61312  99.81984  99.68450 100.30454 100.09495 #>  [36933]  99.88994 100.13990  99.63935  99.94999  99.44848 100.03999  99.94999 #>  [36940]  99.54898 100.34441 100.45397 100.07997  99.87492  99.90495  99.78477 #>  [36947]  99.87492 100.26465 100.76210 100.20479  99.68952  99.95999  99.89995 #>  [36954] 100.16486 100.25966  99.87993 100.52860  99.67447 100.32447 100.09495 #>  [36961]  99.81984 100.19481  99.32774 100.18982 100.05498 100.41912 100.06498 #>  [36968] 100.51865  99.93998  99.77475 100.51865  99.40322 100.46890  99.93498 #>  [36975]  99.78477  99.91997 100.01000 100.10994 100.25966  99.61928 100.04999 #>  [36982]  99.92998  99.90495  99.87492 100.05998 100.14989  99.68952 100.21976 #>  [36989] 100.52363  99.76472 100.18982 100.16986 100.15488  99.92998 100.60318 #>  [36996] 100.17485 100.22475 100.26964 100.38924 100.53855  99.63433  99.45853 #>  [37003]  99.92998 100.01000 100.14989 100.02500  99.72462  99.98000  99.92998 #>  [37010]  99.94999  99.87492  99.77976 100.24969 100.07497  99.22197 100.34441 #>  [37017] 100.02500 100.42908  99.82485  99.54898  99.71961 100.05998 100.10994 #>  [37024]  99.85489  99.45351  99.96499  99.69453 100.27961 100.41414 100.07997 #>  [37031]  99.56405 100.26465  99.79980  99.47864  99.42837 100.05498  99.94999 #>  [37038] 100.35935 100.36932 100.31949 100.42908  99.84488 100.03000  99.95999 #>  [37045] 100.39920  99.70958 100.17485 100.12992  99.40322 100.22475 100.52860 #>  [37052]  99.77976  99.75470  99.79980 100.02500  99.85990 100.15488  99.72462 #>  [37059] 100.25468 100.01500 100.25966 100.43904  99.58414 100.03999 100.43406 #>  [37066] 100.18982 100.32946 100.36434 100.23971  99.72963 100.31949 100.10994 #>  [37073] 100.03999 100.58827 100.35935 100.00500 100.32946  99.72462 100.13990 #>  [37080] 100.23971 100.07497  99.87492 100.32447 100.16986  99.80982  99.87993 #>  [37087] 100.72239 100.46392  99.53894  99.73465 100.48383  99.87492 100.35437 #>  [37094]  99.72963 100.12992  99.78477 100.03000  99.38813  99.97500 100.27462 #>  [37101] 100.19481 100.04499 100.16986 100.48383  99.45351  99.88994 100.57336 #>  [37108] 100.04499  99.83987  99.96499 100.03999 100.11993 100.07497 100.02000 #>  [37115]  99.70958 100.17984  99.80982  99.77475  99.82485  99.48367 100.48383 #>  [37122] 100.40916  99.54396 100.04999 100.03000 100.04999 100.43904  99.74969 #>  [37129]  99.66444 100.51368  99.93498  99.91496  99.96499  99.77976  99.77475 #>  [37136]  99.87993  99.84989 100.03999  99.61928 100.39920 100.44899  99.94999 #>  [37143] 100.03000  99.57911 100.18483 100.56838 100.25966 100.26964  99.70456 #>  [37150] 100.02000 100.24969 100.37928  99.80982 100.02000 100.10994  99.79980 #>  [37157]  99.83987 100.39422  99.69955 100.17485 100.14490  99.65440 100.09495 #>  [37164] 100.11493 100.06498  99.79980 100.11993 100.29955  99.98000 100.20479 #>  [37171]  99.77976  99.93998  99.89494  99.35794  99.63935  99.68450 100.08996 #>  [37178]  99.70456 100.44401 100.01500 100.23971  99.87492 100.37928  99.53391 #>  [37185]  99.76472  99.83486  99.88493  99.81984 100.01500  99.70958 100.00000 #>  [37192] 100.10994  99.73966 100.04999 100.12992 100.27462 100.25468 100.16486 #>  [37199]  99.95999  99.56405  99.97000 100.40916 100.43904 100.03499  99.90495 #>  [37206] 100.11993  99.95499  99.65440 100.64293 100.09495  99.30760 100.45397 #>  [37213]  99.82485 100.52363 100.36434  99.97000  99.86491 100.41912 100.01000 #>  [37220] 100.21477 100.05998  99.96499 100.18982 100.19980  99.89995 100.22475 #>  [37227] 100.34441 100.28958 100.29955 100.10494 100.28460  99.61928  99.98500 #>  [37234] 100.48881  99.98500  99.99500  99.94999 100.12492 100.19980 100.21477 #>  [37241]  99.93998  99.77976 100.23971 100.27462 100.13990 100.22475 100.13491 #>  [37248]  99.78978 100.03999 100.44401  99.94999  99.85990  99.87492 100.40418 #>  [37255] 100.14490 100.34939 100.40418  99.85489  99.95999  99.88493 100.18483 #>  [37262]  99.52889 100.55347 100.11993  99.73966  99.55401  99.49874 100.16986 #>  [37269]  99.84488 100.18483 100.15987  99.52387 100.07997  99.96499 100.37928 #>  [37276]  99.72462 100.33942  99.94498  99.77976  99.90996  99.73966  99.75470 #>  [37283]  99.81984 100.38924  99.68952 100.78194 100.35935  99.70456 100.16486 #>  [37290]  99.73966 100.17984  99.86992  99.81984 100.13990 100.07497 100.07997 #>  [37297] 100.14989 100.17984  99.93498  99.44345 100.13990  99.71961  99.67949 #>  [37304] 100.37430 100.19980 100.52363  99.39316 100.46392 100.04999 100.47885 #>  [37311] 100.03499  99.73966  99.95999  99.66444 100.17485  99.95499 100.09495 #>  [37318] 100.15488  99.80982  99.85990 100.51865  99.97000  99.54898  99.96499 #>  [37325]  99.94498  99.59920  99.87492  99.43339 100.16486 100.15987  99.73966 #>  [37332] 100.83650  99.84989  99.59920  99.95499  99.76472 100.25468  99.72462 #>  [37339]  99.99000 100.08496  99.93998 100.18483 100.23971  99.81984  99.41328 #>  [37346]  99.73465 100.40916  99.76472 100.39422 100.04999  99.74467  99.75470 #>  [37353] 100.45895 100.06498 100.24969 100.07497 100.08996  99.93498  99.85990 #>  [37360]  99.78477  99.97000 100.55347 100.18982  99.67447 100.22475  99.97000 #>  [37367] 100.83154  99.86992 100.36932 100.41414 100.49876 100.29457 100.37430 #>  [37374] 100.41414 100.49378 100.18483 100.04999 100.03999  99.84488  99.74467 #>  [37381] 100.30454  99.65942 100.03000  99.80481  99.62429 100.25468 100.27961 #>  [37388]  99.63935  99.66444 100.73232  99.96499 100.13990 100.04499  99.99500 #>  [37395]  99.86992  99.80481 100.23971  99.70958  99.51382 100.44401  99.84989 #>  [37402] 100.12992 100.28958 100.22475 100.00500  99.76472 100.17485  99.79980 #>  [37409] 100.06498  99.94999  99.74969  99.58916  99.61426  99.65440  99.51382 #>  [37416] 100.55844 100.70253 100.19980  99.79479 100.14989  99.45853  99.82485 #>  [37423]  99.79980 100.16986  99.47864  99.78477 100.40916 100.33444 100.25966 #>  [37430]  99.92497 100.39920  99.89494 100.00500  99.80982 100.00500  99.47361 #>  [37437]  99.78477  99.83486 100.31451 100.00500 100.33444 100.53358 100.43406 #>  [37444] 100.31949  99.95999  99.97000  99.67447 100.29955  99.94999 100.08996 #>  [37451]  99.59920 100.34939  99.89995 100.08996 100.18982 100.16986  99.90996 #>  [37458] 100.04499  99.98500 100.32946 100.17984 100.05498  99.57911  99.68450 #>  [37465] 100.20978 100.07997 100.29955 100.06998  99.50377  99.81984 100.10494 #>  [37472]  99.81483 100.16486  99.93998  99.69453 100.31949 100.39920  99.95499 #>  [37479] 100.32447 100.28958 100.14989 100.03499  99.93998 100.32946  99.73465 #>  [37486] 100.03000 100.12992  99.66444 100.21976 100.36434 100.04499 100.13491 #>  [37493] 100.11493  99.94498 100.29955 100.18483  99.93498  99.74969 100.04999 #>  [37500] 100.12492 100.02500 100.23472  99.97000  99.42334  99.61426  99.97000 #>  [37507]  99.90996  99.77475 100.27462  99.95999 100.04999 100.13491  99.67949 #>  [37514]  99.69955  99.85489  99.73465 100.28460  99.85990  99.84989 100.10494 #>  [37521] 100.19481 100.09495 100.57336  99.88493 100.16986  99.57409  99.88493 #>  [37528]  99.97000  99.88994 100.15987 100.50871 100.09995 100.08996  99.93998 #>  [37535] 100.06498  99.43842  99.54898  99.82485  99.46859 100.13491 100.05498 #>  [37542] 100.05998  99.91997  99.87993 100.31451 100.50871  99.90996  99.71961 #>  [37549] 100.44899  99.96499 100.03499  99.64437 100.20978 100.29955  99.63433 #>  [37556]  99.65440  99.76973 100.08496  99.99500 100.14989 100.23971 100.82658 #>  [37563]  99.64939 100.03499  99.68450 100.33942  99.62931 100.76210  99.66945 #>  [37570] 100.17984  99.56907 100.04999 100.22974 100.38426  99.99000 100.11493 #>  [37577]  99.66945 100.20479  99.43842  99.74467  99.67949 100.48383  99.79479 #>  [37584]  99.50377 100.21477  99.89995 100.24969 100.05998  99.44848 100.34939 #>  [37591]  99.60422  99.91496 100.06498  99.88493 100.28460  99.53894  99.64939 #>  [37598] 100.01000 100.50871 100.28958 100.10494  99.27235  99.49372 100.39920 #>  [37605] 100.17984 100.01000  99.75971  99.89494 100.03499 100.05498 100.25966 #>  [37612]  99.57911  99.48869  99.88994  99.78477 100.45397  99.74969  99.49874 #>  [37619] 100.04999 100.27462  99.56907  99.90495  99.64939 100.02500 100.02000 #>  [37626]  99.62429  99.97000 100.05498  99.87993  99.78477 100.06498  99.85990 #>  [37633] 100.17984 100.22475  99.73465  99.67447  99.73465 100.25468 100.70750 #>  [37640]  99.82485  99.95499 100.40418  99.80481  99.94498  99.76472 100.47885 #>  [37647]  99.43842 100.15488 100.42410  99.39819  99.63935 100.46392 100.13491 #>  [37654] 100.04999 100.57336  99.90996 100.18982 100.65287 100.15987 100.00000 #>  [37661] 100.11493  99.74969  99.95499 100.13990  99.86491 100.29955  99.58916 #>  [37668] 100.25966 100.15987  99.59418 100.18982 100.17984 100.20479 100.20978 #>  [37675]  99.87492  99.77976 100.29955 100.15488 100.15987  99.82986  99.92998 #>  [37682]  99.93498  99.57409  99.84488  99.95499  99.74467 100.28460 100.00000 #>  [37689] 100.16486  99.87993  99.44345 100.04999  99.80481 100.05998  99.96499 #>  [37696] 100.02000  99.76973 100.07497  99.66444  99.76973 100.55844 100.07997 #>  [37703] 100.00000  99.77976  99.80481 100.00500 100.46392  99.80481  99.66945 #>  [37710]  99.92497 100.20479 100.03499  99.97500 100.02000  99.95499 100.04499 #>  [37717] 100.41414  99.97500  99.94999  99.73966 100.36434  99.60422  99.89494 #>  [37724]  99.84989  99.86491 100.02500 100.04499 100.31451  99.87492 100.35437 #>  [37731]  99.90495  99.64437  99.99500  99.82485 100.22475 100.02000  99.60924 #>  [37738] 100.17485  99.60422 100.33942 100.34441  99.57409  99.88994 100.38426 #>  [37745]  99.97000 100.12992  99.62931  99.69955  99.79980 100.64790  99.94498 #>  [37752]  99.42837 100.45397 100.11993  99.95999 100.17984  99.93998 100.03999 #>  [37759]  99.67447 100.31451  99.97500  99.44345  99.89494 100.19481 100.18982 #>  [37766] 100.17984 100.02500  99.83987 100.21976  99.90996  99.90495  99.49874 #>  [37773] 100.14989 100.35935 100.29955  99.77475 100.19481 100.19980 100.58827 #>  [37780]  99.52889  99.41831 100.48383  99.51884  99.60422 100.28958  99.72462 #>  [37787]  99.45351  99.90495  99.94999  99.60422  99.93498 100.00000  99.65440 #>  [37794] 100.30454  99.74467 100.03999  99.69453 100.24969  99.98000 100.05498 #>  [37801] 100.55844 100.07497 100.12492  99.84989 100.16986  99.82986 100.02000 #>  [37808]  99.82485 100.02000 100.45397 100.20978 100.02000 100.35935 100.16986 #>  [37815] 100.27961  99.90495 100.10994 100.16486  99.93998 100.09995  99.96499 #>  [37822] 100.04499 100.24969  99.95999  99.75971 100.15987 100.41912  99.66945 #>  [37829]  99.89995  99.95999 100.47388  99.71459  99.65440  99.50879  99.91997 #>  [37836] 100.28958 100.25966  99.87492  99.95499 100.04999  99.20685  99.90495 #>  [37843]  99.58414  99.83987 100.08996 100.45895 100.02500 100.01500  99.89494 #>  [37850]  99.87993  99.99500 100.20479  99.79980 100.40916 100.42908  99.99500 #>  [37857] 100.24969  99.89494 100.18982 100.06998  99.85489  99.82986 100.29457 #>  [37864] 100.28958 100.15488 100.03499 100.16986 100.43904  99.95999  99.90996 #>  [37871]  99.75470  99.64437  99.70456 100.05998  99.60422 100.20479  99.63433 #>  [37878] 100.24969  99.92497  99.81984  99.98000  99.77976 100.04999  99.28243 #>  [37885]  99.81984  99.60924 100.11993 100.52363  99.90495 100.31451 100.08996 #>  [37892]  99.82485 100.18483  99.56907 100.18483  99.96499  99.50879  99.84488 #>  [37899]  99.98500 100.00500  99.80481  99.47361 100.33444  99.99500 100.12492 #>  [37906] 100.09995 100.45397 100.02500 100.47885 100.16486  99.68952 100.07997 #>  [37913]  99.98500 100.31451 100.23971  99.81984  99.82485 100.50871 100.15987 #>  [37920]  99.77976  99.55401  99.58916  99.90996  99.97500 100.35935  99.98000 #>  [37927] 100.08996 100.59324 100.04999  99.79980  99.92497  99.93998  99.92497 #>  [37934] 100.12992  99.85990 100.62803  99.95499 100.34441  99.84989 100.30952 #>  [37941]  99.92998 100.11993  99.56907  99.89995  99.86992 100.06998  99.62931 #>  [37948] 100.11493  99.64939 100.36932 100.08496 100.07497  99.96499  99.99500 #>  [37955]  99.56907 100.04999  99.78477 100.19980 100.47388  99.87492  99.74467 #>  [37962] 100.38924  99.92998  99.81483  99.88994  99.38310 100.12992  99.91496 #>  [37969] 100.18982 100.10494  99.71961 100.05498  99.98500  99.99500 100.07997 #>  [37976]  99.87993  99.77976  99.86491  99.69955 100.66280 100.01000  99.49372 #>  [37983] 100.14490  99.97000  99.65942  99.80481 100.42410  99.72462 100.08996 #>  [37990] 100.02500  99.90996  99.73966  99.70456  99.93998  99.24717 100.23472 #>  [37997] 100.14989  99.75971 100.00500  99.68952  99.93498  99.72963 100.02500 #>  [38004] 100.17984 100.16486  99.85489 100.06998  99.71459 100.43406 100.54352 #>  [38011]  99.31264  99.98500  99.97500  99.75971 100.12992  99.69955 100.05498 #>  [38018]  99.49874  99.83486 100.20978  99.56405 100.03999 100.65287 100.02000 #>  [38025]  99.94999 100.17485  99.74969  99.93498  99.94498  99.78978  99.81984 #>  [38032] 100.60318 100.18982 100.06498  99.98500 100.25468 100.04999  99.71961 #>  [38039]  99.76973 100.04999 100.43904 100.09995  99.76472  99.77976 100.33444 #>  [38046] 100.02000  99.44848 100.24969 100.20978  99.63433 100.16986 100.50373 #>  [38053]  99.40825  99.86491  99.69955  99.67949 100.15488 100.24969 100.06498 #>  [38060]  99.77976  99.55903  99.96499  99.57911  99.82986  99.91997  99.90996 #>  [38067] 100.32946 100.15987 100.40418 100.26465  99.62931 100.03499  99.79479 #>  [38074]  99.86992 100.32447  99.86992  99.87492  99.63433  99.65942 100.10994 #>  [38081]  99.70958 100.08496  99.68450  99.79980  99.83486  99.60422 100.22475 #>  [38088]  99.37807 100.20479 100.20479 100.04499  99.84989 100.11493 100.00500 #>  [38095]  99.69453 100.41414  99.88994  99.92497  99.50879 100.45895  99.88493 #>  [38102]  99.84488  99.97500 100.41912 100.03499  99.74969 100.26964  99.72462 #>  [38109]  99.80982 100.43904  99.99000  99.90996 100.13990  99.93998  99.45853 #>  [38116] 100.47388  99.68450  99.84989 100.43406 100.42410 100.03999  99.77475 #>  [38123] 100.08996 100.36932 100.23472  99.92497 100.10494  99.89494 100.24470 #>  [38130]  99.72462 100.04499 100.33444 100.38924 100.04999  99.70958 100.05998 #>  [38137]  99.90996  99.51884 100.26964 100.16986 100.26465 100.42410  99.50879 #>  [38144] 100.05498  99.62931 100.23472 100.03000 100.59821  99.82986 100.51865 #>  [38151]  99.85990 100.14989 100.00000 100.06498  99.90495  99.55903  99.97000 #>  [38158]  99.83987  99.80481  99.56907 100.04999 100.05998 100.56838  99.89494 #>  [38165] 100.03999  99.44345 100.74225  99.78477  99.96499 100.15488 100.05998 #>  [38172] 100.27462  99.82485 100.12492  99.80481  99.91997  99.62429  99.62429 #>  [38179]  99.62429 100.20479 100.16486  99.68952 100.49876  99.89494  99.50879 #>  [38186] 100.37430 100.23971  99.63935  99.80982 100.31949 100.02500 100.01000 #>  [38193] 100.26964 100.11993  99.61426  99.83987 100.15488 100.09995 100.18982 #>  [38200]  99.94498 100.04999 100.16986 100.08996 100.29955 100.13990  99.94999 #>  [38207]  99.60924 100.38426 100.23971  99.99500 100.22475 100.01500 100.07997 #>  [38214]  99.87492  99.76472 100.66280 100.31949 100.17485  99.98000 100.24969 #>  [38221]  99.93998 100.57336  99.83486 100.23971  99.64939  99.74969 100.19980 #>  [38228] 100.16986  99.78477  99.90495  99.62429 100.56341 100.40916  99.95999 #>  [38235]  99.80481  99.73966  99.79980 100.05998  99.80982  99.62429  99.90996 #>  [38242] 100.07997  99.90495 100.42908 100.21477 100.44899  99.67949 100.58827 #>  [38249]  99.76472  99.74467 100.48881 100.25468 100.44899 100.39920 100.14490 #>  [38256]  99.92497  99.67447 100.32946  99.17157 100.27462  99.92497 100.18483 #>  [38263]  99.92998  99.60924 100.14490 100.33444  99.98500 100.41414 100.53855 #>  [38270]  99.58414 100.18982 100.17984  99.83987  99.77976  99.90996  99.49874 #>  [38277]  99.90495 100.22974  99.66945 100.65784  99.83486  99.78978  99.87993 #>  [38284] 100.20978 100.32946  99.60422 100.48881  99.49874 100.32946  99.83486 #>  [38291]  99.72963 100.20978 100.27961  99.89494  99.98000  99.84488 100.34939 #>  [38298]  99.61928  99.87492 100.30454  99.68450  99.93498 100.00000  99.56907 #>  [38305] 100.01500 100.31451 100.46890  99.87492 100.62306  99.62429 100.24969 #>  [38312]  99.70456  99.41328  99.74467 100.12992  99.66945 100.08496  99.48869 #>  [38319] 100.02000  99.83987  99.80982  99.98000  99.75971 100.38426 100.01500 #>  [38326]  99.89494 100.31949  99.87993 100.01000  99.91496 100.24969 100.40916 #>  [38333]  99.74467 100.30454 100.44401 100.43406 100.21477  99.97000  99.65440 #>  [38340] 100.24470  99.80481 100.29457 100.12492 100.16986  99.63935 100.18483 #>  [38347] 100.07997 100.12992 100.30454 100.24470 100.23971 100.30952 100.02000 #>  [38354] 100.02000 100.16486 100.21477  99.73465  99.45853 100.23971  99.81483 #>  [38361]  99.49372  99.81984 100.21477 100.20978  99.92998  99.89494  99.22197 #>  [38368]  99.97500  99.92998 100.10994 100.04499 100.42908 100.53855  99.82485 #>  [38375] 100.50871 100.23472  99.61928 100.16986  99.24717  99.92497 100.03000 #>  [38382] 100.06498  99.84989  99.96499 100.50871  99.63433 100.36932 100.07497 #>  [38389]  99.99000  99.80982 100.29955  99.68952 100.51865  99.38310  99.37807 #>  [38396]  99.97500  99.91997 100.02000  99.95999 100.71246 100.14989  99.40322 #>  [38403] 100.15987 100.27462 100.20978 100.03499  99.87492 100.01500 100.06498 #>  [38410] 100.36434  99.47361  99.97000 100.34441 100.45397  99.85990  99.67949 #>  [38417]  99.98500 100.51368 100.42410  99.92497  99.86491 100.21976 100.37928 #>  [38424]  99.55903 100.41414  99.76973  99.61426 100.36434  99.79479  99.60924 #>  [38431]  99.61928  99.83486  99.56405  99.58916 100.18982 100.23472 100.15488 #>  [38438]  99.81984 100.17984  99.93998  99.83486  99.69453 100.28958 100.41414 #>  [38445] 100.53855  99.96499 100.12492 100.16486  99.80982  99.97000  99.24717 #>  [38452] 100.08496  99.54396  99.81483 100.10994  99.51884  99.81984 100.37430 #>  [38459] 100.09495 100.18982 100.59821  99.95999 100.29955 100.14989 100.36434 #>  [38466]  99.83486  99.30760 100.18483  99.64939  99.89494 100.18483  99.59920 #>  [38473] 100.29457  99.89995  99.97000  99.45351 100.12992  99.98500 100.07497 #>  [38480]  99.77976  99.65440 100.25468  99.62931 100.22974 100.24470  99.89494 #>  [38487]  99.60422  99.59920 100.24969 100.23472  99.79980  99.71961  99.84488 #>  [38494]  99.74969 100.00000 100.01000  99.72963  99.72462 100.58330  99.95499 #>  [38501]  99.53391 100.14490 100.28958  99.99000 100.38924 100.16986  99.62429 #>  [38508] 100.03000  99.95999 100.24470 100.46890 100.11993  99.74467 100.62306 #>  [38515]  99.79479 100.17485 100.01000 100.43406 100.41414  99.66945  99.95499 #>  [38522] 100.70253  99.70958  99.85489  99.95999  99.95499 100.38924 100.22475 #>  [38529]  99.50377 100.04999 100.11993 100.07497  99.83486  99.78978 100.14989 #>  [38536] 100.41912  99.55903 100.27462  99.77475 100.55844 100.16486 100.12992 #>  [38543] 100.02000 100.07497 100.08496 100.25468  99.84488 100.13990 100.33444 #>  [38550] 100.03000 100.03000 100.51368  99.85990  99.85990 100.01500 100.32946 #>  [38557]  99.67949 100.18483 100.22974  99.97500  99.82485  99.86491 100.28958 #>  [38564]  99.60924  99.70456  99.96499  99.90996 100.59324 100.59324  99.94498 #>  [38571]  99.68450  99.63433 100.13491 100.08496 100.21477  99.82986 100.44899 #>  [38578] 100.32447 100.08496 100.24470 100.00500 100.39422  99.70456  99.89494 #>  [38585] 100.39422 100.28958 100.02500  99.84989  99.79479  99.87993 100.08996 #>  [38592]  99.94498 100.42410 100.64293  99.51382  99.90996 100.17485  99.50377 #>  [38599] 100.06998 100.26964  99.88994  99.44345  99.90495 100.34441  99.74467 #>  [38606] 100.11493  99.51884  99.52387  99.87993 100.48881 100.00500 100.44899 #>  [38613] 100.47388 100.20978 100.43904  99.80982 100.02500 100.02500  99.86992 #>  [38620] 100.09495 100.44899  99.68450  99.62429 100.59324 100.28460  99.59418 #>  [38627] 100.10494  99.79479  99.67949 100.27961 100.22974  99.84989 100.32946 #>  [38634]  99.71961 100.09495 100.09995  99.36297  99.62931  99.53391 100.19481 #>  [38641]  99.90495  99.86992  99.67949  99.77976 100.01500  99.91997 100.21477 #>  [38648]  99.93498  99.75971 100.06998  99.31767 100.26964  99.94999 100.07497 #>  [38655] 100.03499  99.95999 100.27462  99.62931  99.72462 100.16986 100.01500 #>  [38662]  99.93998  99.53391  99.91997  99.76973 100.01500  99.55903  99.98500 #>  [38669]  99.91997  99.54898  99.82986  99.23205  99.51884  99.71459 100.08996 #>  [38676]  99.68952  99.94999 100.08996  99.70456 100.06498  99.79479  99.81984 #>  [38683] 100.32447 100.24969  99.83486 100.06998 100.08496  99.96499 100.10494 #>  [38690] 100.51865 100.04499  99.85489 100.39920  99.55903 100.06498  99.64939 #>  [38697] 100.03000  99.98000 100.29457 100.18483  99.94498  99.97000  99.83486 #>  [38704]  99.92497 100.01000  99.66444 100.00500 100.04999  99.84488 100.26465 #>  [38711]  99.79980 100.02500  99.81984  99.95999 100.08496 100.42908 100.03999 #>  [38718] 100.23472 100.27462  99.75470 100.47885 100.57833  99.71961  99.63935 #>  [38725]  99.98000 100.22475  99.64939  99.94999 100.03000 100.14490  99.41328 #>  [38732]  99.85990  99.63935 100.37928 100.22475 100.06498 100.02500  99.93498 #>  [38739]  99.90996  99.92998  99.81483  99.83987  99.95999  99.92497 100.27462 #>  [38746]  99.50377 100.04499 100.46890 100.12492  99.91496  99.92497  99.82986 #>  [38753]  99.73465  99.92497 100.35437  99.68450  99.74969  99.43339  99.91997 #>  [38760]  99.79479 100.35935 100.04999  99.33781 100.39920 100.10994 100.34441 #>  [38767] 100.42908 100.02000  99.42837 100.16486 100.24969  99.57409  99.84989 #>  [38774] 100.07497  99.98500  99.53391  99.68450  99.78978  99.57409  99.97000 #>  [38781] 100.17984 100.06998 100.25966  99.53391  99.64437 100.09995 100.02500 #>  [38788] 100.28460  99.91496 100.51368 100.03000  99.90996  99.63935 100.23971 #>  [38795]  99.91997  99.92497 100.20479 100.43406  99.55903 100.03499 100.05498 #>  [38802] 100.02000 100.13491 100.10494  99.76472  99.87993  99.84989  99.97000 #>  [38809]  99.84488  99.72462  99.94999 100.26465 100.44401  99.79479  99.58916 #>  [38816]  99.63433 100.35437 100.10994 100.09995  99.68450 100.24969  99.58916 #>  [38823]  99.67447  99.65942 100.60318  99.87492  99.97500  99.52889 100.02500 #>  [38830]  99.91997  99.86992 100.17485  99.74969  99.74969 100.08496 100.27462 #>  [38837]  99.67949  99.85489 100.48383 100.71743 100.14989  99.92497  99.94498 #>  [38844] 100.28460  99.26228  99.84488  99.85489  99.66444  99.58916  99.46859 #>  [38851]  99.76472 100.24969  99.76472 100.11993 100.09495 100.32946  99.98500 #>  [38858]  99.60422  99.95999 100.13990  99.98000 100.01000  99.65942 100.31949 #>  [38865]  99.63433  99.90495  99.81483 100.24969 100.09995 100.12492 100.22974 #>  [38872]  99.76472  99.90495  99.56405  99.86992 100.21976  99.87993  99.78978 #>  [38879]  99.93998  99.70958 100.37928  99.68450  99.66444  99.93998  99.90996 #>  [38886] 100.03000 100.27462  99.71459 100.08496 100.37430  99.82986 100.06498 #>  [38893]  99.64939 100.54352 100.31949 100.42908 100.11493  99.43339  99.88994 #>  [38900]  99.46859 100.28958 100.18982 100.24969  99.69453  99.86992  99.92497 #>  [38907]  99.99000  99.80982 100.12492  99.76973 100.44899 100.43904 100.06498 #>  [38914] 100.22974  99.93998  99.63433 100.26465 100.28460  99.86992 100.18982 #>  [38921] 100.17984  99.74467  99.98000  99.95999 100.13491 100.01000 100.41414 #>  [38928]  99.84488 100.03499 100.36932 100.13990  99.70456  99.56907 100.27462 #>  [38935]  99.92998  99.97000  99.58414  99.96499 100.10494  99.66945 100.14490 #>  [38942]  99.87993  99.29753 100.06498  99.97000  99.66945 100.31949 100.46392 #>  [38949]  99.88493  99.38813  99.56405  99.91997 100.25966  99.88493 100.17485 #>  [38956] 100.29955 100.46392 100.12492 100.06998 100.37928 100.03999  99.91496 #>  [38963] 100.16986 100.31451  99.86992 100.35935  99.95499 100.46392  99.83987 #>  [38970] 100.31451 100.21477 100.22974 100.13990  99.92497 100.01000 100.19980 #>  [38977] 100.09495  99.84488 100.60815 100.42410  99.50377 100.21976  99.77976 #>  [38984] 100.09495  99.98500 100.18982 100.07997 100.07997  99.56405 100.38924 #>  [38991]  99.94498  99.58916 100.11993 100.04999 100.40418 100.26964  99.79980 #>  [38998]  99.80481  99.60924  99.60422  99.81984  99.96499  99.69955  99.84989 #>  [39005]  99.95999  99.56405  99.45853  99.62931 100.35935 100.02000 100.24470 #>  [39012]  99.98500  99.77475 100.34441  99.80982 100.08996  99.61928 100.04499 #>  [39019]  99.67949  99.87492 100.30454  99.74969 100.11493  99.81483  99.86491 #>  [39026]  99.82485  99.99500  99.85990  99.81483 100.11993 100.04499  99.91496 #>  [39033]  99.68952 100.01000 100.35437 100.25468  99.81984  99.98500 100.40916 #>  [39040]  99.81483 100.28958 100.06498 100.20479 100.27961 100.21477  99.49874 #>  [39047] 100.18982  99.90996  99.32774  99.42837  99.83987  99.83987  99.79479 #>  [39054]  99.94498  99.67949  99.70958 100.04999  99.83486  99.84488  99.92998 #>  [39061] 100.17984  99.91997  99.97000 100.14490  99.99000  99.77976  99.60924 #>  [39068] 100.07497  99.94498  99.91997 100.05998  99.69955 100.19980  99.82485 #>  [39075] 100.51865 100.33444 100.20479  99.80481 100.03999  99.88994 100.48881 #>  [39082] 100.06998  99.52889  99.53391 100.23971 100.06498  99.67447 100.01000 #>  [39089]  99.78477 100.28958  99.88994  99.64437 100.29955  99.86491  99.70958 #>  [39096] 100.84642 100.02000 100.22974  99.83987 100.27961 100.21477 100.53358 #>  [39103] 100.46392 100.11493 100.59821  99.73465 100.08996 100.16486  99.78978 #>  [39110]  99.98500 100.18982  99.82485 100.30454  99.79479  99.68450  99.11609 #>  [39117] 100.18483 100.49378  99.62931  99.53894  99.87492 100.14989 100.19481 #>  [39124] 100.12492  99.79980 100.02000  99.89494 100.31949  99.47864  99.26228 #>  [39131]  99.89995  99.54396  99.62429 100.00500 100.02500  99.89995 100.02000 #>  [39138]  99.64437 100.03499 100.08996 100.67770 100.14490  99.74467  99.83987 #>  [39145] 100.28958  99.72963 100.17485 100.23971  99.55903  99.73966  99.73465 #>  [39152] 100.30454 100.05998  99.56907 100.16986  99.78477  99.93998 100.28958 #>  [39159]  99.98000  99.61928  99.28243  99.91997  99.79980  99.99500  99.65942 #>  [39166] 100.01500  99.97500 100.03000 100.03000 100.08496 100.13491 100.02000 #>  [39173] 100.01000 100.16486  99.82485 100.46890  99.68952 100.00500 100.07497 #>  [39180] 100.03000 100.43904 100.08496 100.51368 100.00000  99.34284 100.30454 #>  [39187]  99.99500 100.37928  99.98500 100.07497 100.28958  99.85489  99.59920 #>  [39194] 100.07997 100.04999  99.96499 100.24470  99.79479  99.82485  99.66444 #>  [39201] 100.35437  99.77976  99.55401  99.86992  99.76973  99.82485 100.30952 #>  [39208] 100.25966 100.02000  99.87993  99.37807  99.86992 100.32447  99.75971 #>  [39215]  99.82485 100.35935  99.99000  99.61426  99.91496  99.89494  99.82986 #>  [39222] 100.34939  99.98000  99.91496 100.03999  99.94999 100.20978  99.88493 #>  [39229]  99.81483  99.88493  99.67447 100.01500 100.27961  99.93998 100.22475 #>  [39236]  99.87993  99.74467 100.52363  99.82485  99.83486  99.90996 100.65784 #>  [39243]  99.69955  99.37807  99.58414  99.78978  99.88994  99.91997 100.23971 #>  [39250] 100.30454 100.28958  99.59418 100.09995  99.94999  99.96499  99.82986 #>  [39257]  99.64437 100.09995 100.00000 100.28460 100.35935  99.80982 100.26964 #>  [39264]  99.07068  99.62429  99.94498 100.06998  99.58916 100.28958 100.04499 #>  [39271] 100.51368  99.91997 100.36434  99.64437  99.85990  99.99500  99.95999 #>  [39278]  99.78978 100.55844  99.89995  99.75971 100.10494 100.16986  99.91496 #>  [39285]  99.62931  99.90996  99.93498  99.75971 100.12492  99.95499 100.06998 #>  [39292]  99.53894 100.16486 100.38426  99.79479  99.85990  99.79479 100.34441 #>  [39299] 100.21976 100.41414  99.86491  99.91496 100.02000  99.45853 100.02500 #>  [39306]  99.96499  99.97500  99.75971 100.25966  99.75470  99.87993 100.02000 #>  [39313]  99.37303 100.12492 100.23971  99.52387 100.54352 100.14989 100.02000 #>  [39320] 100.03000  99.91496 100.14989  99.83987 100.12492 100.00500 100.25468 #>  [39327] 100.02000  99.89494 100.43904 100.14989 100.73232 100.43904 100.04499 #>  [39334]  99.84488  99.86491  99.70958 100.48383 100.04499 100.08496  99.97500 #>  [39341]  99.37303  99.86491 100.08996 100.08496 100.17485  99.70456  99.69453 #>  [39348]  99.98500  99.89995 100.34939  99.68952  99.89995  99.69453 100.20479 #>  [39355] 100.12492 100.04499  99.86992 100.34441 100.06498  99.93498 100.46890 #>  [39362] 100.00500  99.82986  99.81483  99.87993  99.88493 100.10494 100.17984 #>  [39369]  99.82485 100.30454  99.88493 100.02500  99.77976  99.76973 100.43904 #>  [39376]  99.91997  99.57911  99.72462  99.98000 100.03499  99.23205 100.10494 #>  [39383]  99.94999  99.87993  99.89995 100.18982 100.23472  99.94999 100.33444 #>  [39390]  99.60924 100.24969  99.41328  99.43842 100.26964  99.74467  99.90495 #>  [39397] 100.37928 100.31451 100.14490  99.81984  99.30760  99.84989  99.95999 #>  [39404] 100.44401 100.31451  99.89494  99.80481 100.06498 100.10994  99.96499 #>  [39411] 100.09995 100.36932 100.54850  99.60422 100.02000  99.81984 100.01000 #>  [39418] 100.38426  99.39316 100.45397  99.88493 100.27462 100.59324  99.98500 #>  [39425]  99.74467  99.78978 100.05998 100.17984  99.55903  99.97000 100.00000 #>  [39432]  99.76472  99.99500  99.23709  99.66444 100.19980 100.00000  99.72963 #>  [39439]  99.92998 100.33942 100.17984 100.17984 100.20479  99.63935 100.03999 #>  [39446] 100.11493  99.89494 100.18483 100.44401 100.01500  99.60422 100.12492 #>  [39453]  99.44848 100.09495 100.19481  99.92497 100.34441 100.02000 100.16486 #>  [39460] 100.49876  99.92998  99.94498 100.36932 100.17984 100.54352  99.90495 #>  [39467] 100.30454  99.70958 100.08496  99.89494 100.17984 100.30454  99.67447 #>  [39474] 100.08496  99.66945  99.77976 100.20978 100.19481  99.89494  99.57911 #>  [39481] 100.07997  99.84989 100.15488 100.48383  99.90495 100.03000 100.10494 #>  [39488]  99.99500 100.14490  99.69453  99.31264 100.54850  99.97500  99.66945 #>  [39495]  99.85990  99.48367  99.89494  99.70958  99.98000  99.69453  99.12618 #>  [39502] 100.07997 100.12492 100.30454 100.42410 100.25966  99.84989 100.03499 #>  [39509]  99.93998  99.86992 100.23472 100.19980  99.78477  99.87993 100.24969 #>  [39516]  99.83486 100.33942  99.80481 100.31949  99.86992 100.26465  99.90996 #>  [39523] 100.49876 100.00500 100.19980 100.14490 100.24969  99.59920  99.84989 #>  [39530]  99.61426 100.01000  99.78477 100.01000 100.14989  99.49372 100.53855 #>  [39537]  99.77976  99.97500 100.35935 100.40418  99.66945 100.09495 100.29457 #>  [39544] 100.20978  99.78978 100.09995  99.80481  99.72963 100.19980 100.03999 #>  [39551] 100.50871  99.65942  99.74467 100.18982 100.10494  99.88994  99.84488 #>  [39558] 100.08496 100.08996 100.31451  99.95999  99.55401  99.98500  99.52387 #>  [39565] 100.18483 100.63797  99.81483 100.77202  99.67949 100.17984 100.44401 #>  [39572]  99.98000 100.25468  99.79980 100.00500  99.90495 100.80675 100.21976 #>  [39579]  99.94498  99.69453 100.22475  99.82485  99.71459 100.69757  99.81984 #>  [39586]  99.74969  99.97000 100.30454 100.54352  99.70456  99.35794  99.99000 #>  [39593]  99.69955 100.71246 100.70750 100.13491 100.36932 100.03000 100.03000 #>  [39600] 100.22475  99.94498 100.02000 100.27462 100.36434 100.08996 100.25966 #>  [39607]  99.90996 100.36932  99.71459 100.05498  99.88493 100.04999 100.02500 #>  [39614] 100.05998 100.73232 100.42908 100.17984 100.19980 100.21976  99.39316 #>  [39621] 100.41912  99.77976 100.55347  99.47864 100.22475  99.85990 100.25966 #>  [39628]  99.87492  99.98500 100.21976  99.70456 100.12992 100.02000  99.35794 #>  [39635] 100.12992  99.72963  99.87492 100.48881 100.14490  99.68450 100.16486 #>  [39642]  99.66945 100.22475  99.90996 100.15987 100.07997  99.76973  99.83486 #>  [39649]  99.66945  99.79980 101.01485 100.28460 100.03000 100.16986  99.59920 #>  [39656]  99.89995 100.03999  99.99500  99.90495  99.78477  99.84989 100.12492 #>  [39663]  99.99000  99.99000  99.97000 100.33942  99.65942 100.19980 100.16486 #>  [39670] 100.04499 100.54352  99.93998  99.52889 100.12492 100.52860 100.16486 #>  [39677]  99.71961  99.99000 100.34441  99.62931 100.12492 100.19980  99.84989 #>  [39684]  99.88493 100.12492  99.97500 100.10494  99.29250  99.92497 100.10494 #>  [39691]  99.52387  99.99500  99.78477 100.43406 100.48881 100.19481 100.24470 #>  [39698]  99.49874 100.17984 100.16486 100.32447 100.68764  99.72462 100.34939 #>  [39705]  99.85489 100.12492 100.01500  99.74467  99.90996 100.02000 100.14989 #>  [39712]  99.82986 100.17984 100.00500  99.38310 100.28958 100.36434  99.90996 #>  [39719]  99.66945  99.78978  99.49372 100.12492  99.84989 100.13990 100.31949 #>  [39726]  99.85990 100.27462  99.55903  99.94498  99.83987 100.13491 100.22974 #>  [39733] 100.08496  99.73966  99.88994 100.02500  99.83486  99.98500 100.24470 #>  [39740] 100.09495 100.04999 100.44899  99.80481  99.71459  99.95999 100.38924 #>  [39747] 100.13491 100.01500  99.56405 100.33942 100.11993  99.71961  99.88493 #>  [39754] 100.08996  99.75470 100.45895 100.11493 100.43406 100.67770  99.80982 #>  [39761]  99.72963 100.41414  99.81483 100.26964  99.59418  99.91496 100.08996 #>  [39768] 100.17485 100.16986  99.66945  99.77475  99.86992  99.88493  99.94498 #>  [39775] 100.04999 100.02500 100.21976  99.61928  99.77976 100.22974  99.65942 #>  [39782]  99.94999 100.38426 100.03000 100.04999 100.01500  99.98500 100.29457 #>  [39789]  99.81984 100.13990  99.97000  99.94498 100.25966 100.02000  99.56405 #>  [39796]  99.46859  99.98000  99.93998 100.04499 100.41414 100.19481 100.07497 #>  [39803] 100.06498  99.92998 100.36932 100.00000 100.02500  99.68450 100.41912 #>  [39810]  99.50377 100.23472 100.05998  99.88493  99.91997 100.04499  99.52889 #>  [39817] 100.08496  99.82485  99.82485  99.91496  99.74467  99.91997  99.59418 #>  [39824]  99.92497 100.09495  99.46859 100.11993  99.56405 100.31949 100.39920 #>  [39831]  99.69453 100.04999  99.86491  99.93998 100.33942 100.28460  99.40322 #>  [39838]  99.93498  99.56907  99.59418 100.08996  99.97500 100.03499 100.09495 #>  [39845]  99.91496 100.20978 100.21477 100.03499  99.77976 100.15488 100.48383 #>  [39852] 100.48383  99.22701  99.71961 100.47388 100.33444  99.95499  99.76973 #>  [39859] 100.23472  99.78477 100.17984 100.04499  99.64939 100.03000  99.95999 #>  [39866]  99.70958 100.13491  99.38813 100.25966 100.54850  99.71459  99.92497 #>  [39873]  99.75470 100.21976 100.00500 100.12492 100.07997 100.26964  99.84989 #>  [39880] 100.39422 100.21477 100.32447  99.73966  99.84989 100.07997 100.15488 #>  [39887]  99.46859  99.85990 100.25468  99.72963 100.08496 100.25468 100.65784 #>  [39894]  99.99500 100.18982 100.37928  99.81483  99.92497 100.34441  99.77976 #>  [39901] 100.23971  99.70456  99.80982  99.66444 100.45397  99.46859 100.14989 #>  [39908] 100.06998 100.01000 100.13990 100.44899  99.76472 100.20978  99.97500 #>  [39915] 100.24969 100.06498 100.07497  99.91496  99.66945 100.21477 100.59324 #>  [39922]  99.93498  99.51382  99.90996  99.65942  99.88493 100.18982 100.03999 #>  [39929] 100.02500  99.49372  99.84989 100.17984 100.28460  99.79479  99.48367 #>  [39936]  99.97500  99.70456 100.37430 100.43406  99.85489 100.05998 100.24470 #>  [39943]  99.65440  99.84488 100.41414  99.62429  99.68450 100.53855  99.72462 #>  [39950]  99.92998 100.29457  99.61928  99.68450 100.22475 100.15987  99.77976 #>  [39957] 100.34441 100.13990  99.91496  99.88493  99.81984  99.87993  99.64437 #>  [39964]  99.32271  99.43842  99.82986 100.30454  99.93998 100.40418  99.88493 #>  [39971]  99.41831 100.03000  99.18669 100.30454  99.65942  99.71961 100.53855 #>  [39978]  99.85990 100.06498  99.99000  99.72963 100.32447  99.51382  99.84989 #>  [39985] 100.63300 100.30454 100.35437  99.82485 100.27961 100.19980 100.36932 #>  [39992]  99.60422  99.96499  99.98500 100.19481 100.39422 100.00000  99.97500 #>  [39999]  99.91997 100.04499 100.16486 100.47885  99.90495 100.03000  99.77475 #>  [40006] 100.01500 100.26964 100.15488  99.62931  99.73966  99.97500  99.88994 #>  [40013]  99.70958  99.53894  99.98500 100.07997 100.12492 100.08996  99.84989 #>  [40020]  99.92497  99.92998 100.58330  99.68952 100.14490  99.90495 100.07997 #>  [40027]  99.91997 100.06498 100.25468  99.90996  99.82986  99.48367 100.60318 #>  [40034] 100.17485 100.16486 100.52860  99.54898  99.88994  99.31264 100.17485 #>  [40041] 100.20479 100.06498 100.02500  99.88994 100.33444  99.83987  99.79980 #>  [40048] 100.10494  99.71459 100.38924 100.22974 100.05998  99.96499  99.64437 #>  [40055] 100.09495  99.91997  99.80982 100.16986 100.00500  99.94498  99.97000 #>  [40062]  99.95499 100.54352  99.80982  99.58414 100.09495  99.87492 100.12492 #>  [40069] 100.12492  99.60422  99.24213 100.18483 100.20479 100.17984  99.64437 #>  [40076]  99.76973 100.25966  99.87492  99.92497 100.53358 100.07997  99.88493 #>  [40083] 100.27961  99.87993 100.18982 100.03000  99.97000  99.79980 100.27462 #>  [40090] 100.30952  99.87993 100.40916 100.30952  99.98500  99.81984 100.27961 #>  [40097] 100.11993 100.01000 100.34939  99.52387 100.00000 100.16986  99.95499 #>  [40104]  99.54898 100.37928  99.79479 100.20479  99.76472 100.25468  99.96499 #>  [40111] 100.07497  99.80982 100.30952  99.91496 100.50871  99.61426  99.80481 #>  [40118] 100.11493  99.69955  99.53391 100.05498 100.08996  99.96499  99.35291 #>  [40125]  99.22701  99.48869  99.73465 100.19481 100.45397 100.25966 100.07497 #>  [40132] 100.05998 100.05998 100.15488  99.73966 100.20978  99.87993  99.85990 #>  [40139] 100.08996 100.12492  99.72963  99.80481 100.26964  99.97500 100.08496 #>  [40146]  99.99500 100.14490 100.20978  99.93498  99.81483 100.44899 100.25966 #>  [40153] 100.35935 100.44401 100.28460  99.90996  99.83987 100.34441 100.26964 #>  [40160] 100.13491  99.90996 100.46890 100.04999  99.95999  99.72963  99.91496 #>  [40167] 100.09495 100.01000  99.88493  99.77976 100.02000 100.52363 100.07997 #>  [40174]  99.63935  99.76973  99.41831  99.28243 100.37430 100.08996  99.74467 #>  [40181]  99.86992 100.02000 100.23971  99.38813 100.17984 100.58330 100.13990 #>  [40188]  99.95499  99.86491 100.15987  99.83987  99.82485 100.12492  99.77976 #>  [40195] 100.01000  99.99500  99.71459 100.13990  99.38310 100.17984  99.81483 #>  [40202]  99.76472  99.99000 100.49378  99.85489 100.29955  99.64939  99.99000 #>  [40209] 100.32946  99.75470 100.39920  99.96499  99.99500  99.98000  99.83486 #>  [40216]  99.54898 100.40418 100.06998 100.08496 100.10494  99.93998 100.33942 #>  [40223]  99.79479 100.19980  99.93998  99.80982 100.46890  99.87492 100.20479 #>  [40230] 100.17485 100.11993  99.93498 100.25468  99.68450 100.38426 100.27961 #>  [40237]  99.76973  99.96499 100.15488  99.67447 100.04999 100.48383  99.83987 #>  [40244] 100.01000 100.00000 100.26465 100.26964  99.33781  99.95499 100.55347 #>  [40251]  99.79479  99.38310  99.86992  99.91496  99.96499  99.76973 100.12492 #>  [40258] 100.29955 100.37928  99.57911  99.83987  99.73966  99.70958  99.90495 #>  [40265]  99.65942  99.78978  99.81984  99.83486 100.36932 100.06998  99.92998 #>  [40272]  99.82986  99.82986  99.77475  99.99500  99.71961  99.97000 100.25468 #>  [40279]  99.80481 100.21477  99.68952  99.75470  99.75470  99.83987  99.95499 #>  [40286] 100.02500 100.01000  99.37807  99.48869 100.12992  99.78477 100.34939 #>  [40293]  99.87993 100.35935  99.72462 100.10494  99.88994 100.02500 100.17984 #>  [40300] 100.01500 100.17984 100.20978  99.91496 100.45397 100.20978  99.79980 #>  [40307] 100.71743 100.22475 100.08996 100.18982  99.81984 100.01000 100.45895 #>  [40314]  99.58916 100.39920 100.44899 100.52363 100.03000  99.90495 100.14490 #>  [40321]  99.59920  99.79980  99.85489 100.51368  99.88994  99.88493  99.61928 #>  [40328] 100.36434  99.73966 100.08996 100.02000 100.12992 100.22475  99.76472 #>  [40335]  99.74467 100.32447  99.92497 100.06498  99.82986 100.17485  99.56907 #>  [40342] 100.03999  99.59920 100.30454  99.66945 100.29955  99.45853  99.70456 #>  [40349] 100.31949 100.40418  99.99000  99.99500  99.62429 100.05498  99.66444 #>  [40356] 100.42908  99.78978  99.92497  99.82485 100.23971  99.78477 100.46392 #>  [40363] 100.47885  99.75971  99.69955 100.08496 100.10994  99.82485 100.10494 #>  [40370] 100.33444 100.42410 100.04499  99.54898 100.18483  99.83486 100.30952 #>  [40377] 100.20978  99.64939 100.04999  99.92998  99.95999  99.78477  99.75971 #>  [40384] 100.25468 100.27462 100.14989  99.90996  99.46859 100.08496  99.82986 #>  [40391]  99.35291  99.84989  99.78978  99.69453 100.08496  99.60422  99.46356 #>  [40398] 100.58330  99.90996  99.64939 100.60318 100.04999 100.29955  99.93998 #>  [40405] 100.19980 100.12492  99.91997 100.12992 100.10494 100.13990 100.16986 #>  [40412] 100.01000  99.77976  99.98000  99.91997  99.67949 100.08496 100.09495 #>  [40419]  99.75470 100.44899 100.03499 100.13990 100.21976  99.92497  99.95999 #>  [40426] 100.36932  99.84488  99.76472 100.08996  99.96499 100.03000 100.36932 #>  [40433] 100.15488  99.51884 100.61809  99.98000  99.90495 100.32447  99.96499 #>  [40440] 100.41414 100.06498 100.23971  99.55903  99.48367 100.40916 100.19980 #>  [40447]  99.90495 100.26964 100.12492 100.42410 100.09995 100.14989 100.11993 #>  [40454]  99.97500 100.22475 100.30454 100.11993  99.79479 100.01500 100.08996 #>  [40461] 100.28958 100.02000 100.26465 100.28460  99.80481 100.51368 100.37430 #>  [40468]  99.97000  99.75971 100.22475 100.18483  99.87492 100.35437  99.39819 #>  [40475] 100.14989 100.03999 100.15488  99.84989 100.14989 100.18483  99.50879 #>  [40482]  99.91997 100.16986 100.12492 100.35437  99.67447  99.78477 100.19980 #>  [40489] 100.26964 100.27462  99.86491  99.86992 100.13491  99.42334 100.32946 #>  [40496]  99.58414 100.21976 100.03000  99.84989  99.75971  99.85489  99.53391 #>  [40503]  99.88493  99.93998 100.06998  99.68450  99.37303  99.81483 100.42908 #>  [40510] 100.22475  99.53391 100.03999  99.86491  99.85990  99.91997 100.04999 #>  [40517] 100.07997 100.11493 100.15987  99.67949  99.40322 100.25966  99.53894 #>  [40524] 100.43904 100.00500 100.62803  99.82986  99.61928  99.65942  99.42334 #>  [40531]  99.81483 100.42410  99.90996  99.84488 100.04499  99.90495  99.83987 #>  [40538]  99.77976 100.17485 100.34939  99.72462  99.23709 100.10994  99.97000 #>  [40545]  99.77475 100.36434 100.34939 100.61312 100.19980 100.36434 100.30454 #>  [40552]  99.94999  99.76472 100.23472  99.72462 100.58330  99.94999 100.16486 #>  [40559] 100.20479  99.67447  99.81984  99.62429  99.57409  99.75470  99.90996 #>  [40566]  99.55401 100.51368  99.89494  99.75470 100.39422 100.46890  99.94999 #>  [40573]  99.38813  99.85489 100.38924  99.78477 100.30952  99.90996  99.93498 #>  [40580] 100.01500  99.95999  99.86491  99.78477  99.88493  99.88493 100.29955 #>  [40587] 100.25966 100.55844 100.11493 100.36932 100.05998 100.14989  99.99500 #>  [40594] 100.39920  99.83486  99.95499  99.70958 100.25966  99.76472  99.98000 #>  [40601]  99.89494 100.43406 100.34939 100.03499 100.42908 100.39920 100.05998 #>  [40608] 100.33942  99.92998 100.05998  99.76973  99.59920 100.18483 100.35935 #>  [40615]  99.81984  99.31767 100.01500 100.30952 100.61312  99.89995  99.67949 #>  [40622] 100.05998 100.14490 100.12492  99.76472  99.93998  99.69453 100.34939 #>  [40629] 100.19481  99.78477 100.12992  99.53391  99.90495 100.08996  99.93998 #>  [40636]  99.95499  99.73465  99.92998  99.62429  99.67949  99.73966  99.76973 #>  [40643]  99.78477 100.59821  99.61928  99.98000  99.79479  99.90495 100.27462 #>  [40650]  99.79980  99.53391  99.67447 100.03499 100.20978  99.46356 100.05998 #>  [40657] 100.38924  99.62931  99.77976  99.96499 100.17485 100.31949 100.09995 #>  [40664]  99.72963  99.94999 100.01000 100.25966 100.33942  99.71961 100.13990 #>  [40671]  99.86491 100.08496 100.07497  99.42334  99.49874  99.79479 100.03000 #>  [40678]  99.93998 100.28460 100.21976  99.93998 100.05998  99.87993 100.20479 #>  [40685] 100.37430 100.14490  99.52387 100.36434  99.68450  99.69955 100.41414 #>  [40692] 100.30454 100.26465 100.31451  99.77976 100.20978 100.33942 100.26465 #>  [40699] 100.45895 100.23472 100.06498 100.38426 100.11493  99.72462  99.75470 #>  [40706] 100.02000  99.47361 100.15488  99.58916 100.17984  99.53391 100.18982 #>  [40713]  99.50377  99.97500  99.79980  99.84488  99.62429 100.00500  99.99500 #>  [40720] 100.16486  99.78477  99.58916 100.64293 100.23472 100.16986  99.72462 #>  [40727] 100.15987 100.21477  99.79980  99.87492 100.68267 100.03999  99.33781 #>  [40734] 100.03499 100.22475 100.44401  99.82485 100.34441 100.25468  99.63935 #>  [40741] 100.00500 100.01500  99.55401  99.74969 100.20978 100.02000  99.31767 #>  [40748] 100.46890 100.39920 100.14490  99.85990  99.53894 100.59821 100.10994 #>  [40755] 100.56838  99.78477  99.70958 100.09995 100.24969 100.27961  99.88493 #>  [40762]  99.87492  99.79479 100.02500 100.05498  99.63935  99.71961  99.91496 #>  [40769] 100.07497 100.27462 100.34939  99.98500  99.81483 100.46392  99.64939 #>  [40776] 100.04999  99.93498  99.86992  99.83987  99.48869  99.38310  99.98000 #>  [40783] 100.02000  99.97000  99.93998  99.88994  99.84989  99.73465 100.07497 #>  [40790] 100.12492  99.68952  99.99000  99.37807 100.14989 100.37430 100.03999 #>  [40797]  99.76973  99.85489  99.72963  99.62931 100.14989 100.19980 100.29457 #>  [40804]  99.75971  99.65942  99.77976 100.24969  99.56405  99.48367 100.40916 #>  [40811]  99.99500  99.97500  99.55401  99.95499 100.17984  99.87993 100.30952 #>  [40818] 100.47885 100.38924  99.89494  99.83987 100.04499  99.41328  99.64437 #>  [40825] 100.18982 100.13990 100.57833  99.50879  99.82485  99.74467 100.13491 #>  [40832]  99.78978 100.20479  99.62429  99.61426 100.14989 100.46890 100.88112 #>  [40839] 100.46890 100.17485  99.67447 100.05998  99.94999  99.85489 100.11493 #>  [40846]  99.86992  99.88493  99.90996  99.68952 100.01000  99.51382  99.81984 #>  [40853] 100.09495  99.83987 100.00500 100.15488 100.11993 100.26465 100.50373 #>  [40860]  99.98500  99.79980 100.40418 100.02500 100.11993 100.08496 100.35935 #>  [40867] 100.03499 100.27961 100.34939 100.44401  99.56405 100.22974 100.46392 #>  [40874] 100.07997  99.94999  99.93998  99.77976 100.04999 100.19481 100.20978 #>  [40881] 100.27462 100.25966 100.18483  99.62429  99.68952  99.78978  99.87993 #>  [40888] 100.04999  99.46356  99.65440 100.15488  99.51884 100.35437  99.94498 #>  [40895]  99.66945 100.40418 100.07997 100.15987 100.28958 100.12492  99.82485 #>  [40902] 100.03499  99.80481 100.38924 100.08996 100.03000 100.03000  99.19173 #>  [40909]  99.83486  99.79479  99.92998 100.07497 100.02500 100.38924  99.99500 #>  [40916]  99.54396  99.76973  99.49372 100.08996 100.27462 100.25468 100.22974 #>  [40923] 100.10494 100.06498  99.62931  99.84488 100.00000 100.01500  99.72963 #>  [40930] 100.12992 100.22475  99.93498 100.05498  99.83486  99.65942  99.62429 #>  [40937] 100.38426  99.61426  99.63433 100.02500  99.74467  99.90495 100.33444 #>  [40944] 100.02500  99.82485  99.69955 100.03000 100.49378 100.14490  99.99500 #>  [40951] 100.23971 100.36434 100.01500  99.85990  99.64437 100.65287 100.25966 #>  [40958]  99.94498  99.55903  99.60422  99.76472  99.59920  99.87993 100.19980 #>  [40965] 100.17984 100.16486  99.56405 100.18982  99.65942 100.40916 100.03000 #>  [40972]  99.09087  99.65942 100.34939 100.06498 100.36434  99.90495  99.84488 #>  [40979]  99.77475  99.91997 100.02500 100.25468 100.16986  99.95999  99.78477 #>  [40986]  99.97000 100.03999 100.22475  99.41831 100.11993  99.78978  99.67447 #>  [40993]  99.84488  99.82485 100.00000 100.42410 100.21477  99.84989 100.15987 #>  [41000]  99.51884 100.12992  99.73966 100.33444 100.06498  99.95499 100.18982 #>  [41007]  99.66444 100.62306 100.24470  99.62931  99.64939  99.81483  99.68450 #>  [41014] 100.24470  99.76472  99.60422 100.45397 100.23971  99.59418 100.20479 #>  [41021]  99.75470 100.30454 100.64790  99.92497 100.01500 100.18982  99.86992 #>  [41028]  99.92998 100.26964  99.82986  99.98500 100.24969 100.08996 100.18483 #>  [41035] 100.21976 100.31451 100.33444 100.02000 100.18982  99.91997  99.80481 #>  [41042]  99.85489 100.42908 100.48383 100.00000 100.33942 100.09995  99.75470 #>  [41049]  99.98500  99.96499  99.83987  99.90495  99.66945 100.29955  99.92497 #>  [41056] 100.13990  99.90996  99.90996  99.97000 100.32946  99.66945 100.32447 #>  [41063] 100.07497 100.54352 100.29457 100.02000  99.75971 100.07497 100.07997 #>  [41070]  99.93498 100.67274  99.96499  99.98000  99.71961  99.53894 100.55844 #>  [41077]  99.78477  99.64437 100.07997 100.33444  99.66444 100.38426 100.32946 #>  [41084]  99.69453 100.24470 100.08996  99.60422  99.86992  99.45351  99.69955 #>  [41091] 100.13491 100.17485 100.50373 100.28958  99.66444 100.07497  99.92497 #>  [41098]  99.47864  99.86491  99.71459  99.77475 100.00500 100.29955  99.14636 #>  [41105]  99.83486 100.32447  99.80982  99.96499  99.94999 100.15488  99.91496 #>  [41112] 100.39920 100.50871 100.53358  99.82485 100.39920 100.31949  99.88493 #>  [41119]  99.53391  99.63433 100.03999  99.49874 100.36932  99.78477 100.26465 #>  [41126]  99.89995 100.18982 100.12492 100.46392  99.80481 100.20978 100.06998 #>  [41133] 100.10994 100.42908  99.45853 100.23971  99.57911  99.86992 100.12992 #>  [41140] 100.01000  99.58916 100.30454 100.28460  99.71459 100.32946 100.19481 #>  [41147]  99.63935 100.31949  99.68952  99.92497  99.98000 100.30454 100.01000 #>  [41154] 100.09495 100.25966 100.19481  99.77976  99.92497 100.08496  99.57911 #>  [41161]  99.85990  99.44345  99.95499 100.24969 100.11493  99.65942  99.65942 #>  [41168] 100.44899  99.98500 100.05998 100.48383 100.28958 100.18982 100.13990 #>  [41175] 100.01000 100.49876  99.66945  99.89494  99.82485  99.72462 100.06998 #>  [41182]  99.56405 100.45397 100.23971  99.90495  99.64437  99.81984 100.01000 #>  [41189] 100.45397 100.00500  99.88994  99.98000  99.95999 100.03499  99.46356 #>  [41196]  99.93498  99.73465  99.55903  99.94999 100.73232 100.19980 100.20978 #>  [41203] 100.52860 100.03000 100.31451  99.97000 100.01000  99.67949 100.32447 #>  [41210]  99.98500  99.61426 100.45397  99.36800  99.91997  99.91496  99.68952 #>  [41217] 100.18483 100.39920  99.53894 100.08496  99.90996  99.87993  99.52387 #>  [41224]  99.95999 100.07497  99.67949  99.95999  99.79980  99.95999  99.75470 #>  [41231] 100.23472 100.25468 100.47388 100.71246 100.12492  99.56405 100.11993 #>  [41238]  99.76973  99.85990 100.14490  99.62429 100.02000  99.93998 100.45895 #>  [41245]  99.94999 100.02500 100.17485 100.04999  99.87492 100.31451 100.13990 #>  [41252] 100.03499  99.94999  99.91496  99.87492  99.80982 100.56341  99.98000 #>  [41259] 100.03000  99.87993 100.25468  99.84488  99.94498 100.08496 100.18483 #>  [41266]  99.69955  99.42334  99.76973 100.01000 100.06498 100.26465  99.53391 #>  [41273]  99.55903 100.10494 100.29955 100.28460 100.19980 100.12492  99.93498 #>  [41280] 100.00500 100.26964  99.78477 100.08496 100.47885  99.47864 100.30454 #>  [41287] 100.42410 100.50373  99.63935  99.90996  99.83486 100.48383  99.80982 #>  [41294]  99.70958 100.23971  99.94999 100.61809  99.71459  99.77976 100.17984 #>  [41301] 100.08496 100.34441 100.23971  99.98500 100.29955 100.11493 100.24470 #>  [41308] 100.00000  99.41831 100.47885 100.09995  99.84989 100.46392 100.13990 #>  [41315]  99.66945 100.03999 100.29955 100.19481  99.92497  99.80982  99.74467 #>  [41322]  99.84989  99.76973  99.76973 100.13990  99.88994  99.64437  99.92998 #>  [41329] 100.79683 100.54850 100.03999 100.16486  99.85489  99.88493 100.21976 #>  [41336]  99.62429 100.10994  99.84989  99.48367 100.31451  99.95499  99.63935 #>  [41343] 100.15987  99.60924  99.67949 100.10494  99.56405 100.31949 100.04499 #>  [41350]  99.90996 100.05998 100.63300 100.20978  99.82485  99.89995 100.38924 #>  [41357] 100.11493 100.08996 100.03999 100.44899  99.85489  99.83987 100.13491 #>  [41364] 100.24969 100.24470  99.62931 100.30952 100.65784 100.03999  99.42334 #>  [41371]  99.89494  99.84989 100.31451  99.97500  99.32271 100.04999 100.19980 #>  [41378] 100.15987  99.48367  99.85489  99.94999  99.77475  99.94999 100.24470 #>  [41385]  99.99000 100.13990 100.31451  99.67447  99.86992  99.96499  99.88493 #>  [41392] 100.10494  99.73966 100.28958  99.38813  99.69453  99.82485  99.52889 #>  [41399] 100.13491  99.67949 100.09995 100.00500  99.71961 100.54850 100.06998 #>  [41406]  99.64939  99.40825  99.89995 100.21477  99.65440  99.79479  99.96499 #>  [41413] 100.13491 100.04999  99.87993  99.43339 100.16986  99.90495 100.20978 #>  [41420] 100.04499 100.05998 100.09995  99.78477  99.85990  99.90495  99.83486 #>  [41427]  99.92497  99.90996 100.24969 100.16986  99.66444  99.99000  99.71961 #>  [41434] 100.41414  99.94498  99.68450  99.82986 100.01000 100.16486  99.89494 #>  [41441] 100.30952  99.67447 100.34441  99.77976  99.80982 100.33942 100.11493 #>  [41448] 100.02000 100.16486 100.50373 100.05498  99.83486 100.38924  99.93498 #>  [41455]  99.78978  99.67949 100.32946  99.58414  99.50377 100.23472 100.14490 #>  [41462]  99.75470  99.64939  99.80982  99.82485 100.17984  99.91496 100.80675 #>  [41469] 100.38426 100.06998 100.29457  99.94498 100.16486 100.14989  99.47864 #>  [41476] 100.42908 100.28460  99.33781 100.06998  99.49372  99.68450 100.10494 #>  [41483]  99.87993  99.79980  99.93998  99.93498 100.33942  99.63935 100.54352 #>  [41490]  99.85990  99.37303  99.66945  99.75971 100.35437 100.01000  99.88994 #>  [41497]  99.50879 100.28958 100.26465 100.04499 100.08996  99.66945  99.69955 #>  [41504]  99.87993 100.66280  99.80481  99.90996 100.40418 100.13491  99.65440 #>  [41511]  99.61928 100.06498 100.14490  99.97500 100.01000  99.84989  99.75971 #>  [41518]  99.64437  99.69955  99.84488 100.00000 100.37928  99.98500 100.13491 #>  [41525] 100.16986  99.43842  99.82485  99.97500 100.40418 100.17485  99.77976 #>  [41532]  99.80481 100.03999  99.81984  99.93498 100.30454 100.03999 100.11493 #>  [41539] 100.42410 100.14989 100.00500 100.24470 100.16486 100.12492  99.84989 #>  [41546] 100.20479  99.91496  99.97500 100.11993 100.20978 100.28958  99.42334 #>  [41553] 100.42410  99.89494  99.73465  99.81483 100.04999 100.19980 100.00500 #>  [41560] 100.44899  99.84989 100.15488 100.01000 100.11993 100.06998 100.37430 #>  [41567]  99.76973 100.18982  99.41328 100.38924  99.73966  99.64437 100.09495 #>  [41574] 100.41414 100.58827  99.84989 100.24969 100.06498  99.95999 100.06998 #>  [41581] 100.28958  99.68450  99.78477  99.55401  99.58916  99.74969  99.66444 #>  [41588] 100.08996  99.80982 100.54850 100.20978  99.90495 100.11493  99.97000 #>  [41595] 100.05998 100.08496  99.55903  99.74969 100.34441 100.01500  99.61928 #>  [41602]  99.62429  99.82986  99.83486 100.03999  99.74467 100.19481 100.05998 #>  [41609] 100.27961  99.58916  99.95499 100.27961 100.09495  99.99000  99.79479 #>  [41616] 100.34441  99.98000 100.04999  99.79479  99.84989  99.47361 100.64293 #>  [41623]  99.94999 100.23971  99.98500  99.77475 100.03000 100.17485  99.82485 #>  [41630]  99.76472 100.23971 100.25468 100.15987 100.29457  99.81984  99.62429 #>  [41637]  99.80481 100.18483 100.17485 100.26964  99.39819  99.90495 100.45895 #>  [41644]  99.48367 100.10994 100.04999  99.29250 100.42908  99.74969 100.35935 #>  [41651]  99.42334 100.22974 100.43904  99.71961 100.01500 100.50373 100.13990 #>  [41658] 100.25966  99.62429  99.98500 100.07497 100.03999 100.44899 100.23971 #>  [41665] 100.02000 100.10494 100.31451 100.28460  99.79479  99.90495  99.64939 #>  [41672] 100.21976 100.01000  99.84488  99.68450 100.32447 100.19980  99.67447 #>  [41679]  99.58916  99.59418 100.46890  99.90996  99.75470 100.18982  99.75971 #>  [41686] 100.23971  99.96499 100.38924  99.67447  99.78978  99.78477 100.05998 #>  [41693] 100.03999 100.26465  99.76472  99.96499 100.27961  99.68952 100.18483 #>  [41700] 100.34441  99.82485 100.14989 100.34939  99.95499 100.17984 100.01000 #>  [41707] 100.30952 100.18982 100.10494  99.61426 100.44401  99.95499  99.70456 #>  [41714] 100.05498  99.42837  99.80481  99.66945 100.30952 100.44401  99.62931 #>  [41721] 100.10494  99.52889 100.57336  99.70456 100.11993 100.09995 100.42410 #>  [41728] 100.08496  99.77976 100.03499  99.72462 100.34939 100.04499 100.26964 #>  [41735] 100.08996 100.22475 100.23472 100.03999  99.92497  99.97000 100.24470 #>  [41742]  99.59418  99.96499  99.93998  99.75971  99.67949 100.36932 100.30454 #>  [41749]  99.80982 100.16486  99.42837 100.24969  99.92497 100.31949  99.72462 #>  [41756] 100.00500 100.03499 100.31451 100.32946 100.20978 100.53855  99.48869 #>  [41763] 100.52860 100.50871  99.75971 100.32447  99.67447  99.77976 100.35935 #>  [41770] 100.16486  99.83486 100.20479  99.87492 100.02500  99.59418 100.47388 #>  [41777]  99.31767  99.53894 100.03000  99.58414 100.00500  99.85990 100.03999 #>  [41784] 100.11993 100.08996 100.01500 100.08496 100.16486  99.56405  99.77976 #>  [41791] 100.03499 100.50373  99.89494 100.11493 100.23472  99.98000  99.95999 #>  [41798] 100.22974 100.28958  99.89494  99.86491  99.76973  99.66945  99.25724 #>  [41805] 100.12992  99.89995 100.40916  99.48367 100.32447 100.40916 100.04999 #>  [41812]  99.63935  99.75470  99.63433 100.42908 100.24969  99.79479  99.83987 #>  [41819]  99.80982  99.49372  99.59920  99.62429  99.86992  99.46859 100.26964 #>  [41826] 100.48881 100.20479  99.69453 100.10994  99.70456 100.36932 100.05998 #>  [41833]  99.95999 100.25966 100.03499 100.04999  99.64939 100.38924  99.89995 #>  [41840] 100.10494 100.03000  99.50377  99.91997 100.19980  99.99000  99.73966 #>  [41847] 100.04499  99.92998  99.85489 100.33942  99.88493  99.97000 100.41414 #>  [41854]  99.48367 100.34441  99.89494  99.84989 100.16486  99.70456  99.98500 #>  [41861] 100.35437  99.39819 100.28460  99.82485 100.10994 100.51368  99.88493 #>  [41868] 100.46392  99.94498 100.11993  99.53894  99.74969  99.90996  99.99000 #>  [41875] 100.18483  99.58414 100.20479  99.56405  99.67949 100.24470 100.30454 #>  [41882] 100.43406 100.32447 100.09995 100.10494 100.28460  99.86992  99.95999 #>  [41889]  99.42837  99.70958 100.34441 100.35437  99.75971 100.09995 100.01000 #>  [41896] 100.03999  99.88493 100.25966  99.63433  99.77976  99.58414  99.56907 #>  [41903]  99.92497  99.57911  99.72462 100.43904 100.09995  99.79980 100.20978 #>  [41910] 100.01000 100.13990 100.12992 100.00500  99.65942 100.33942  99.77976 #>  [41917] 100.05498  99.66945  99.86491 100.25966  99.85489 100.02500  99.78477 #>  [41924]  99.91496 100.26465 100.24470  99.74969 100.20479 100.18483 100.25966 #>  [41931]  99.92998 100.03000  99.99500  99.70958  99.80481  99.79479 100.04999 #>  [41938]  99.68450 100.02000 100.15987  99.67949  99.72462  99.71961 100.06998 #>  [41945] 100.20978 100.01000 100.40418 100.16486 100.24470  99.93498 100.14989 #>  [41952]  99.47864  99.67447  99.78477  99.70958  99.73465  99.79479  99.80481 #>  [41959] 100.17984  99.86992 100.09995 100.22974  99.80481 100.42410  99.69453 #>  [41966] 100.07997 100.22974 100.30952 100.14490  99.82986  99.87492 100.04999 #>  [41973] 100.50871  99.92998  99.94999 100.20479  99.46859 100.40418  99.79980 #>  [41980]  99.60422  99.85489 100.44401  99.83486 100.14989  99.90495 100.30454 #>  [41987] 100.14490 100.05998  99.98500 100.65784  99.81483 100.13990 100.10494 #>  [41994]  99.74969 100.34939  99.87492  99.70958 100.14490  99.82485  99.47864 #>  [42001]  99.61928  99.90996 100.21976 100.17485 100.03999 100.22475 100.55844 #>  [42008]  99.68952  99.91496  99.58916  99.64437 100.06998 100.30952 100.21477 #>  [42015] 100.03000 100.08996  99.85990  99.84989  99.95999  99.95499 100.29955 #>  [42022]  99.78978  99.54898  99.74467 100.63300 100.31949  99.72963  99.89494 #>  [42029] 100.24470  99.76973  99.18669  99.45853  99.45351  99.88493  99.70958 #>  [42036]  99.93998 100.30952 100.05998 100.36434  99.95999 100.21477  99.66444 #>  [42043] 100.03999  99.72462  99.95499 100.12492 100.03499 100.07497 100.17984 #>  [42050]  99.85990  99.86992  99.61928 100.25966 100.27961 100.10494  99.97000 #>  [42057] 100.10494  99.98000 100.12492 100.60318  99.77475  99.70456 100.00000 #>  [42064]  99.86992 100.24969  99.90996 100.25966 100.11993 100.07997  99.85990 #>  [42071]  99.91997 100.12492 100.16486  99.71961  99.77976  99.75971  99.86491 #>  [42078]  99.89494  99.54396  99.86992  99.91997 100.48881  99.65942  99.69955 #>  [42085] 100.47388 100.22475  99.58916 100.56341 100.15488 100.38924 100.38426 #>  [42092] 100.04499  99.49372 100.25966  99.66945  99.65942 100.26964  99.78978 #>  [42099] 100.10994  99.90996 100.44401 100.13491  99.64939  99.68952 100.06498 #>  [42106]  99.88493 100.09495  99.97000  99.80982  99.83987  99.92497 100.31949 #>  [42113] 100.19980 100.01500  99.49874 100.00500  99.76973 100.31949 100.62306 #>  [42120] 100.24470  99.86491  99.84989  99.29753 100.43904  99.91496  99.66945 #>  [42127]  99.88493 100.21976 100.21477  99.93998 100.62306  99.91997 100.16986 #>  [42134]  99.92497 100.56838 100.02500 100.36932  99.84989 100.30952 100.36434 #>  [42141] 100.20479 100.60318  99.56907  99.84488  99.53894  99.83486  99.65440 #>  [42148]  99.95999  99.53391 100.12492  99.62429  99.94999  99.18669 100.08996 #>  [42155]  99.77976 100.33942  99.89995  99.45351 100.06498 100.18483 100.86129 #>  [42162] 100.48881  99.81483 100.64293  99.83987  99.72462 100.29457  99.90495 #>  [42169] 100.07497 100.08996  99.67949  99.94999  99.82485 100.32447 100.23971 #>  [42176] 100.21477 100.42908 100.00000  99.59920  99.58916  99.70958 100.21477 #>  [42183]  99.48869  99.29250  99.50879 100.00000 100.05498 100.27961 100.17485 #>  [42190] 100.26964 100.39920  99.93498 100.19481 100.37430  99.87993  99.82485 #>  [42197] 100.17984 100.24470  99.79980  99.36297 100.34939 100.09995  99.56907 #>  [42204]  99.91997 100.04999  99.99000 100.14490 100.22475  99.82986  99.64437 #>  [42211]  99.79479  99.55401 100.03499  99.63935  99.99000  99.90495  99.98500 #>  [42218] 100.25468 100.23971 100.37928 100.10494  99.56907  99.25724  99.98000 #>  [42225] 100.13491 100.32946  99.68952  99.78978  99.28243 100.13990  99.68952 #>  [42232]  99.95499 100.07497 100.38924  99.89995 100.16486 100.43904 100.06498 #>  [42239] 100.53358  99.99500  99.89995 100.03999  99.70456  99.92998 100.04499 #>  [42246] 100.08496 100.13990 100.16986 100.20479  99.78978 100.07497 100.25468 #>  [42253]  99.58916 100.24969  99.48869 100.36434  99.73465 100.32447 100.01500 #>  [42260]  99.73465 100.02500 100.34441 100.20978  99.76973 100.23472  99.52387 #>  [42267] 100.01500 100.19980  99.75470  99.68952 100.22475 100.21477  99.74467 #>  [42274]  99.74467 100.22475 100.50871  99.85990 100.40418 100.49876  99.37303 #>  [42281] 100.00000 100.23971  99.79479 100.53855  99.62931  99.57409  99.67949 #>  [42288]  99.95499 100.17984  99.94999 100.25966  99.95499 100.43406 100.06998 #>  [42295] 100.52860 100.01500  99.76472  99.96499 100.47388 100.22974 100.06998 #>  [42302]  99.56405  99.63935  99.68450  99.66945  99.91997  99.86491 100.33942 #>  [42309]  99.94999  99.50879 100.19481  99.74969 100.26964  99.80481  99.68952 #>  [42316]  99.60422  99.86491  99.92998  99.95499 100.34939 100.49378  99.56907 #>  [42323] 100.02000 100.15488 100.35437 100.06998 100.42410 100.36434  99.86491 #>  [42330] 100.54352  99.72462  99.72963  99.50879  99.49372  99.95999  99.92497 #>  [42337] 100.10994  99.49372  99.87993 100.28958  99.48367 100.25468  99.68450 #>  [42344] 100.09995 100.08496 100.20479  99.89494 100.38426  99.73465 100.54850 #>  [42351] 100.14989 100.36434  99.54898  99.70456 100.04999  99.71459  99.75971 #>  [42358]  99.83987 100.33942  99.99500 100.00500  99.72963 100.06498  99.78978 #>  [42365] 100.26465  99.92998  99.97500  99.48367 100.14490  99.95999 100.08996 #>  [42372] 100.01500  99.60924  99.78978 100.13491  99.62931 100.38924  99.56907 #>  [42379] 100.14490 100.07497  99.68450  99.88493  99.29250 100.47885 100.19481 #>  [42386] 100.50871 100.50871  99.66444 100.13491 100.13990  99.92497 100.05998 #>  [42393] 100.05498  99.81984 100.21976 100.02500 100.27961 100.03000  99.63935 #>  [42400] 100.16986 100.46890 100.55347  99.77475 100.28958  99.78978 100.29457 #>  [42407]  99.99000 100.16986  99.74467 100.21477 100.21976 100.03000  99.87492 #>  [42414]  99.56405 100.24470 100.39920 100.30454  99.69955 100.00000 100.15488 #>  [42421]  99.40322 100.32447 100.28958 100.42908  99.22701  99.95499 100.00500 #>  [42428] 100.15987 100.32946  99.98500 100.70253  99.64939 100.53855 100.37430 #>  [42435]  99.78477 100.05998  99.58916 100.22475 100.19481  99.86491 100.18982 #>  [42442] 100.15987  99.79479 100.34939 100.03499  99.50879  99.62931 100.27462 #>  [42449] 100.09495 100.30454 100.11993 100.00000  99.82986  99.95999 100.16986 #>  [42456]  99.88493 100.20479 100.11993 100.40916  99.63433  99.86992 100.03499 #>  [42463]  99.74467  99.92497 100.51368  99.17661  99.90495 100.01500 100.38426 #>  [42470] 100.26964 100.11993 100.34441 100.10994 100.42410 100.32946 100.20479 #>  [42477] 100.20978  99.53391  99.72462 100.30454  99.84989 100.00000  99.82485 #>  [42484]  99.83987  99.89494  99.57911 100.37430 100.02500  99.68450  99.75971 #>  [42491] 100.11993  99.82986  99.67447 100.30952 100.26465 100.07997 100.05498 #>  [42498] 100.34441 100.13990 100.04499  99.86992  99.73966 100.24470 100.12992 #>  [42505] 100.01000 100.15488  99.77475  99.64939 100.00000  99.75971 100.10994 #>  [42512]  99.89494  99.75971  99.38310  99.78978 100.08996  99.94498  99.93498 #>  [42519] 100.49378  99.49874 100.03499 100.14490  99.99500  99.39316 100.48881 #>  [42526] 100.30952  99.57911  99.23709 100.11993  99.67949 100.41414 100.03999 #>  [42533]  99.92998 100.23971  99.73465 100.26465 100.02000  99.69955 100.35437 #>  [42540] 100.10494 100.35437 100.21976 100.56838 100.34441  99.88994 100.48881 #>  [42547] 100.14989 100.41912  99.97000 100.08996  99.73465  99.59920  99.88994 #>  [42554] 100.56341  99.91496  99.58916 100.46392 100.00000 100.13990  99.85489 #>  [42561] 100.13990 100.03999 100.31949  99.66444  99.63433  99.91997  99.94999 #>  [42568]  99.67949 100.22974 100.00500  99.91496 100.01000 100.24470 100.05998 #>  [42575] 100.37928  99.85990  99.51884 100.13990 100.42410  99.82986  99.55903 #>  [42582]  99.69453  99.72462 100.06498 100.23472  99.90495 100.15987  99.90495 #>  [42589] 100.56341 100.55347  99.69453 100.36434 100.25468  99.72963  99.78477 #>  [42596] 100.22475  99.28243 100.01000 100.20978 100.21477  99.95499  99.87492 #>  [42603] 100.17485 100.21477 100.17485 100.36932 100.00500 100.00000  99.84488 #>  [42610] 100.34441  99.35291  99.87492  99.67447 100.59821  99.90996  99.66444 #>  [42617]  99.89995  99.59920  99.80481 100.80675  99.57409 100.18483  99.95499 #>  [42624] 100.03999  99.47361  99.87993  99.63935 100.37430  99.52889  99.90996 #>  [42631] 100.11493 100.20978  99.71961  99.94498  99.58916 100.55844 100.44899 #>  [42638] 100.17984 100.00500 100.08496 100.34441 100.49876 100.20479 100.33444 #>  [42645] 100.27961 100.34939 100.05498  99.40825  99.61426 100.03499  99.66444 #>  [42652] 100.21477 100.36434  99.81984 100.38426  99.93498  99.97000 100.01000 #>  [42659] 100.56838  99.41831  99.82986  99.71459  99.72963  99.85990  99.90495 #>  [42666] 100.24969  99.43339 100.29457 100.18483  99.85489  99.91997  99.87492 #>  [42673]  99.71961 100.43904  99.71961 100.27961  99.95999  99.48869 100.51865 #>  [42680]  99.83486  99.28243  99.44345  99.80481  99.69955 100.34441  99.72462 #>  [42687]  99.84989 100.34939  99.60924  99.86992  99.89494  99.98500  99.80481 #>  [42694] 100.19980  99.95499 100.05498  99.73966  99.92998 100.21477  99.87492 #>  [42701] 100.03000  99.89494 100.13491 100.53358  99.94999  99.94498 100.49378 #>  [42708]  99.80982  99.77475  99.82986 100.41912 100.41414  99.87993  99.91997 #>  [42715]  99.89494  99.76973  99.51884 100.44899 100.22974  99.87993  99.57409 #>  [42722] 100.03499 100.18982  99.93998 100.02500  99.87492 100.36434 100.23472 #>  [42729] 100.09995 100.45397  99.84989 100.04999  99.78978 100.07497 100.21976 #>  [42736]  99.59920  99.84488 100.19481 100.36434 100.01000 100.30952  99.99500 #>  [42743]  99.90996  99.84989  99.84488 100.04499 100.13990  99.64437  99.81483 #>  [42750] 100.17984  99.94498 100.14989  99.71459 100.21477 100.07497 100.23971 #>  [42757]  99.71961  99.92998  99.86491  99.81984  99.68952 100.37928  99.70958 #>  [42764]  99.63935 100.24470  99.98000  99.81984 100.03499  99.92497 100.20978 #>  [42771] 100.00000 100.07497 100.23472 100.05998 100.00000 100.28460  99.66444 #>  [42778]  99.97500 100.11493  99.59418 100.32447  99.97000  99.75470 100.10494 #>  [42785]  99.92998  99.34284 100.47388  99.95999  99.80481  99.72462 100.27462 #>  [42792] 100.42410 100.11993 100.03000 100.13491 100.36434 100.50871 100.32946 #>  [42799] 100.02500 100.31451  99.90495 100.11993 100.09495  99.79479 100.17485 #>  [42806] 100.11493 100.30952  99.78477  99.80481 100.08996  99.81483 100.32447 #>  [42813]  99.88493 100.00500 100.23971 100.10494  99.69453 100.45895  99.60422 #>  [42820] 100.29457  99.77475 100.05998 100.37430 100.16986 100.15488 100.06498 #>  [42827]  99.65440  99.87993 100.48881  99.33781 100.01000 100.10494 100.52363 #>  [42834]  99.83987 100.22475  99.71961  99.84989 100.47388  99.77475  99.91496 #>  [42841] 100.22974  99.80481 100.06498  99.88994 100.02500  99.69453 100.10494 #>  [42848]  99.99000  99.63433  99.76973 100.23971 100.04499  99.77475  99.70958 #>  [42855] 100.47388  99.90996 100.03499 100.76210 100.20978  99.69955 100.40916 #>  [42862]  99.53391 100.01000 100.20479 100.33444 100.21976 100.04499  99.41328 #>  [42869] 100.18982 100.32447 100.21976 100.36434 100.61809 100.11493 100.02000 #>  [42876]  99.97000 100.40418 100.05498 100.20978  99.46859  99.83486  99.84989 #>  [42883]  99.58414  99.82485  99.78978  99.56405  99.96499 100.37928  99.73966 #>  [42890] 100.01000  99.58414  99.65942 100.08496 100.83154  99.78978  99.98500 #>  [42897]  99.55401 100.24470 100.27961  99.63935 100.01000  99.43842 100.18982 #>  [42904] 100.12992 100.10994 100.18483 100.11993 100.14989 100.40418 100.18483 #>  [42911] 100.16486  99.98500  99.58916  99.70958  99.90495 100.17984 100.14989 #>  [42918]  99.64437 100.55347  99.88994  99.85489  99.79479 100.29457 100.33444 #>  [42925]  99.72462  99.66444 100.18982  99.59920 100.16486  99.50879  99.92998 #>  [42932] 100.28460  99.73966 100.17984 100.34939  99.88994  99.81984 100.08496 #>  [42939]  99.81984  99.68450  99.92998  99.44848 100.09495  99.92497  99.71459 #>  [42946] 100.31949 100.12492 100.31451  99.38310 100.11493  99.92497 100.06998 #>  [42953] 100.19481 100.11493 100.26465  99.99000  99.86992 100.45895  99.80481 #>  [42960]  99.78978  99.83987 100.42908  99.86491 100.05498 100.51865  99.60422 #>  [42967]  99.67447 100.28958 100.25966 100.21477 100.01000 100.12992  99.97500 #>  [42974]  99.75971  99.75971  99.91496 100.25468 100.25468 100.26465  99.86491 #>  [42981]  99.98500  99.81984  99.71961 100.31949 100.01000  99.65440 100.03000 #>  [42988]  99.49874 100.11493 100.28958  99.92998 100.41414 100.17984  99.99000 #>  [42995] 100.41414  99.74969  99.66444  99.58916  99.24717  99.92497  99.91496 #>  [43002] 100.01500 100.07997 100.02500 100.32946  99.98000  99.98500 100.46392 #>  [43009] 100.14490 100.47885 100.38426 100.16486 100.15987  99.76472  99.89494 #>  [43016] 100.04499 100.11993  99.92497  99.80982 100.36932  99.32774  99.62931 #>  [43023]  99.82485 100.14490 100.35437  99.56907 100.05998 100.38426 100.03499 #>  [43030] 100.18483 100.13990  99.67447 100.09995  99.60422  99.84989  99.87993 #>  [43037] 100.00000 100.22974 100.32946  99.68952  99.75971 100.37928 100.51368 #>  [43044] 100.66777  99.68450  99.89995  99.82986  99.64437  99.94498 100.51865 #>  [43051]  99.97000 100.17485 100.41912 100.12992 100.00000  99.59920  99.37807 #>  [43058] 100.01000  99.66444  99.86491 100.03499 100.04999  99.46356  99.96499 #>  [43065] 100.39920 100.30952 100.24470 100.02000 100.12492  99.97000  99.67949 #>  [43072] 100.03499  99.59920  99.86491 100.31949 100.12492 100.09995  99.41328 #>  [43079] 100.23971  99.67949 100.31949 100.09495 100.02000 100.33942  99.93998 #>  [43086]  99.85990  99.52889  99.90495  99.88493 100.16486  99.44345 100.32447 #>  [43093] 100.32946 100.12992  99.63935 100.10994  99.47864 100.01500  99.98000 #>  [43100]  99.73966  99.96499 100.09495  99.93998 100.08996 100.19980  99.81984 #>  [43107] 100.19481  99.55401  99.96499  99.99500  99.71459  99.93498 100.35935 #>  [43114] 100.00500 100.30952 100.04499 100.45895  99.95499  99.61426 100.12492 #>  [43121] 100.14490  99.87492 100.39422  99.97500  99.83486  99.84488 100.35935 #>  [43128] 100.34441 100.10494  99.84989 100.02000 100.35437 100.20479  99.57911 #>  [43135]  99.81984 100.30454  99.88493 100.52363 100.08496  99.65942  99.76973 #>  [43142] 100.71743 100.10994  99.51884 100.36434  99.82986  99.97000 100.09495 #>  [43149] 100.53855  99.79479 100.10994 100.13990  99.48869  99.80481  99.74467 #>  [43156] 100.38924 100.17984  99.75470  99.47864  99.75470 100.48881  99.78978 #>  [43163]  99.57911 100.31451 100.01500 100.03000 100.12992 100.30952 100.03000 #>  [43170] 100.17485 100.12492 100.12492  99.85489 100.46890 100.31451 100.08996 #>  [43177] 100.10994 100.15987  99.76973 100.18982 100.32447  99.95999  99.81984 #>  [43184]  99.60924 100.16986 100.26964 100.02500  99.77976 100.69260  99.95999 #>  [43191] 100.20978  99.93498  99.72963 100.01500  99.85990  99.75971  99.71961 #>  [43198]  99.62931 100.12492 100.05998 100.03999 100.22974  99.35794 100.23472 #>  [43205]  99.52387 100.16486 100.05498  99.98500  99.71961 100.08496 100.17984 #>  [43212] 100.28460 100.08996 100.07497 100.28958 100.08496  99.71459  99.96499 #>  [43219]  99.75470 100.28958  99.69453  99.98500  99.99000  99.76472  99.55903 #>  [43226]  99.90495  99.83987 100.24969  99.58916  99.65440  99.89494  99.80481 #>  [43233] 100.26465  99.82986 100.22974 100.38426 100.06998 100.54352 100.07497 #>  [43240] 100.32447 100.26465  99.88493 100.24470 100.21976 100.08496 100.28958 #>  [43247] 100.22974 100.02500  99.92497 100.47885 100.48383  99.72462 100.45397 #>  [43254]  99.80982  99.67447  99.72963 100.22475 100.13491  99.96499  99.71961 #>  [43261]  99.58916  99.98000 100.20479  99.80481  99.42334  99.66444 100.09995 #>  [43268]  99.56405 100.32447 100.22974 100.01500  99.70456 100.08496  99.95499 #>  [43275] 100.06998  99.64939  99.98000 100.05998  99.43842 100.32447  99.82986 #>  [43282] 100.12992 100.50871  99.84488  99.86491  99.72462  99.56907  99.78477 #>  [43289]  99.60924 100.49876  99.79980  99.68450 100.10994  99.88994  99.87492 #>  [43296]  99.71961  99.89995 100.10994  99.89995  99.75971  99.79980  99.52387 #>  [43303] 100.01000 100.19481  99.74969  99.81984  99.97500 100.39920  99.99000 #>  [43310] 100.19980  99.76472  99.95999 100.47885  99.99000 100.50871 100.17984 #>  [43317] 100.52363  99.86491  99.84989 100.17984 100.37430 100.03000  99.78477 #>  [43324] 100.14989 100.29955  99.85990 100.32447  99.87993 100.42410 100.42908 #>  [43331]  99.63935  99.77475  99.66444 100.35935  99.84488 100.23971  99.86992 #>  [43338] 100.12492  99.89494 100.21477  99.94999  99.93998  99.53894  99.51884 #>  [43345] 100.15488  99.86491 100.21976  99.98000 100.07997 100.22475 100.39422 #>  [43352]  99.97000 100.06998  99.99000  99.71961 100.00000 100.04999  99.41328 #>  [43359] 100.02500  99.58916 100.33942 100.37430  99.89494 100.12492  99.86992 #>  [43366] 100.24470 100.38426  99.92497 100.46392  99.88994 100.13491  99.77976 #>  [43373] 100.15987  99.79479 100.47388 100.25966 100.34939  99.88994  99.68450 #>  [43380] 100.26465 100.15987  99.43339 100.12492  99.90495  99.97500 100.01000 #>  [43387]  99.94498  99.91496 100.38924  99.72462  99.49372 100.46392  99.52889 #>  [43394] 100.39920  99.71961 100.00500  99.83486  99.98500  99.68952  99.96499 #>  [43401] 100.02500 100.40916 100.60815  99.68952  99.92998  99.63935  99.64437 #>  [43408]  99.82986 100.00000 100.37430 100.24969  99.78477 100.55844 100.11993 #>  [43415] 100.24969  99.62931 100.17485  99.95999  99.98000 100.10994  99.89995 #>  [43422]  99.74969  99.86491  99.99000  99.85990  99.76973  99.50377  99.54396 #>  [43429] 100.09495  99.66945 100.06998  99.86992  99.77475  99.90996  99.70456 #>  [43436] 100.44401  99.64437 100.24969 100.18982  99.81483 100.33444  99.49874 #>  [43443] 100.44401 100.18982 100.72735  99.96499 100.35935  99.50377  99.84989 #>  [43450]  99.99000  99.83987  99.93998 100.20479  99.67949 100.41414  99.95499 #>  [43457] 100.25966 100.32447  99.90996 100.45397 100.25966 100.30454 100.09995 #>  [43464] 100.14490 100.18483  99.77976  99.83987  99.92497 100.04999  99.83486 #>  [43471] 100.13491 100.38426 100.20978  99.67447 100.13491  99.96499 100.39422 #>  [43478]  99.84989 100.16986  99.90495  99.56405 100.07497 100.43406  99.82485 #>  [43485] 100.17984 100.62803 100.07997 100.04999  99.61928 100.13990  99.64939 #>  [43492] 100.44899  99.59920  99.95999 100.06498 100.20479  99.92497  99.53894 #>  [43499] 100.46890 100.17984  99.99000 100.44899  99.55401  99.82485 100.00500 #>  [43506]  99.94999 100.04999  99.69453 100.25468 100.22475  99.79980  99.51884 #>  [43513]  99.96499 100.01000 100.57336 100.41414  99.92497  99.58916  99.92497 #>  [43520] 100.30952 100.54850  99.73465 100.01500  99.59920  99.62429  99.61928 #>  [43527] 100.51865 100.00500 100.00500  99.73966  99.84488  99.81984 100.18483 #>  [43534] 100.34441 100.71743 100.52363 100.62306  99.84488  99.48367  99.95999 #>  [43541] 100.11493 100.61809 100.43904 100.32447 100.13491  99.90996  99.95999 #>  [43548]  99.93998 100.13990  99.82986 100.52363 100.15488  99.58916  99.71961 #>  [43555] 100.32447 100.04499 100.49378  99.64437  99.64437 100.39920  99.75971 #>  [43562]  99.74969  99.49372  99.56405  99.95499  99.71961  99.42334 100.08496 #>  [43569] 100.39920 100.35935 100.21976  99.60422 100.07497  99.73465  99.83486 #>  [43576]  99.50879 100.02000  99.71459 100.25966  99.82986 100.16486 100.03999 #>  [43583]  99.81984  99.61928  99.75971  99.67447  99.90996 100.44401  99.86992 #>  [43590] 100.15488 100.03999 100.60318  99.92497 100.25966 100.06498 100.02000 #>  [43597] 100.01500  99.96499  99.94999  99.97000 100.24969  99.52889  99.88493 #>  [43604] 100.03000 100.30454 100.21976  99.82986  99.86491 100.29457 100.28958 #>  [43611]  99.88493  99.71961  99.74467 100.11993  99.79479 100.30454  99.65942 #>  [43618]  99.94498 100.46890  99.69453 100.17485 100.33444 100.50871  99.54898 #>  [43625] 100.09995 100.14490  99.79479 100.27462 100.26964 100.47885  99.86491 #>  [43632] 100.23472 100.33942  99.61928  99.53894 100.04499  99.68450 100.13491 #>  [43639] 100.03499  99.84488  99.30257 100.32946 100.46392 100.10994  99.43842 #>  [43646] 100.36932  99.98000  99.41831 100.44899  99.66444  99.85489 100.01000 #>  [43653] 100.23971 100.43406 100.06498  99.74969  99.57409 100.23472 100.14989 #>  [43660] 100.13491 100.14989 100.08496  99.88493  99.80481  99.93498 100.20479 #>  [43667] 100.05998 100.54352 100.06498 100.06998 100.28958 100.37928  99.52889 #>  [43674] 100.01500 100.46392  99.85990 100.25966  99.89995 100.03000  99.42334 #>  [43681] 100.10994  99.80481 100.36932  99.99000 100.80179 100.04499 100.06498 #>  [43688]  99.99000  99.79980 100.47388  99.41328  99.77475 100.08996  99.39819 #>  [43695] 100.06498  99.99500  99.86491 100.42410 100.31949  99.91997 100.09995 #>  [43702] 100.11993 100.08996  99.53391 100.63797  99.35291 100.35935 100.06998 #>  [43709] 100.04999 100.25468  99.92998 100.25468 100.01500 100.59821  99.45351 #>  [43716]  99.77475  99.86491 100.07997  99.99000  99.68952  99.56405 100.10994 #>  [43723] 100.56838 100.03000  99.85990  99.90996 100.53358 100.11493 100.21976 #>  [43730]  99.85489  99.36297 100.34939  99.93998 100.05498 100.35935  99.99500 #>  [43737] 100.32447 100.10494  99.43339  99.91997  99.71459  99.57409 100.05498 #>  [43744] 100.01500  99.80982  99.92998 100.37928  99.95499  99.91997  99.53391 #>  [43751] 100.14490 100.12492  99.79980  99.78477  99.81984 100.37430 100.04999 #>  [43758]  99.70456  99.75971  99.82485 100.10994  99.61928  99.72963 100.07997 #>  [43765]  99.68952 100.06498 100.14989 100.04999  99.85489 100.00000  99.58414 #>  [43772] 100.09495  99.88994  99.90495  99.55401 100.66280  99.99500 100.04999 #>  [43779]  99.91496  99.94498  99.64939 100.23971  99.80982 100.05998  99.85990 #>  [43786] 100.02500 100.29955 100.13491  99.63935  99.86992  99.90495  99.93998 #>  [43793]  99.70958 100.37430  99.95999  99.65440  99.87993  99.77976  99.99000 #>  [43800] 100.22974 100.49378  99.95999  99.84488 100.32946 100.13491 100.10494 #>  [43807] 100.13990  99.82986  99.63935 100.41912 100.17485 100.29955 100.46392 #>  [43814] 100.24969  99.87993  99.79479 100.12992  99.87492  99.55903 100.04499 #>  [43821] 100.49378 100.60815  99.95999  99.90495 100.67770  99.74467 100.47388 #>  [43828]  99.73966  99.95999  99.93498  99.92497  99.69955 100.34939 100.06498 #>  [43835]  99.65942 100.28460  99.77976  99.63433  99.87993 100.24470  99.99500 #>  [43842] 100.23971 100.06998 100.25966  99.90996  99.77976  99.49372  99.90996 #>  [43849]  99.90996 100.53358  99.60422 100.07497 100.34441  99.34284  99.87993 #>  [43856] 100.32447 100.34441  99.71961 100.22475  99.82986 100.25468 100.30454 #>  [43863] 100.11993 100.58330 100.35437  99.82986  99.86992 100.41912  99.99000 #>  [43870] 100.55347  99.35794 100.21976 100.23472 100.00500 100.79683  99.70456 #>  [43877] 100.08996 100.29457  99.39819  99.77976  99.52889  99.72462  99.45351 #>  [43884] 100.51368 100.27462 100.12992 100.09995 100.19481 100.03000 100.24470 #>  [43891] 100.09495  99.63433 100.32447 100.15488  99.46859 100.28958  99.83987 #>  [43898] 100.04499  99.34787 100.33444  99.99500 100.00000  99.92497  99.96499 #>  [43905]  99.89995 100.05498  99.80982  99.39316  99.86491  99.64939  99.72963 #>  [43912] 100.10494 100.11493 100.04499 100.47388  99.92998  99.53894  99.80481 #>  [43919] 100.19980  99.80481 100.12992 100.08496  99.95499  99.33781  99.46356 #>  [43926] 100.10494 100.07497 100.06498  99.95999  99.80982  99.93498  99.77976 #>  [43933] 100.03000 100.39920  99.51884  99.57409 100.28460 100.12492  99.73966 #>  [43940] 100.05498 100.01500 100.01500 100.25468  99.85489 100.23472  99.77976 #>  [43947]  99.32774  99.83486  99.18165 100.24969  99.56405 100.33942 100.59821 #>  [43954] 100.27462  99.93998  99.92998  99.78477 100.05498 100.28958 100.05998 #>  [43961] 100.41414 100.18483 100.46392 100.03999 100.44401  99.71459  99.34284 #>  [43968]  99.47864 100.01500  99.69955 100.40418  99.39819 100.04999 100.04499 #>  [43975]  99.95999  99.78978  99.88493  99.52387  99.69955  99.92998 100.20978 #>  [43982]  99.70958  99.86491 100.05998 100.40418 100.30454  99.73966  99.46859 #>  [43989]  99.76973 100.09995 100.00500  99.74969  99.47864  99.67949  99.92497 #>  [43996] 100.30454  99.91496 100.52363 100.25468 100.53358 100.09995  99.82986 #>  [44003]  99.88994  99.63935 100.00000  99.53894  99.68450 100.22974 100.38426 #>  [44010] 100.17485 100.04999 100.34441  99.43842 100.13990  99.98500 100.05998 #>  [44017]  99.65440 100.17984  99.67949  99.57409  99.57409 100.28460  99.70958 #>  [44024] 100.28460 100.50871  99.49874  99.99000  99.62931  99.93998 100.09995 #>  [44031]  99.88994  99.72462 100.13990  99.86992 100.10494  99.44848 100.07497 #>  [44038]  99.76472 100.08996 100.04499  99.84488  99.67949  99.78477  99.77475 #>  [44045]  99.78477 100.17984  99.93998  99.88994  99.98500 100.33444 100.04999 #>  [44052] 100.21477  99.94498 100.10494  99.97000  99.76472 100.14490 100.32447 #>  [44059] 100.28958  99.51884  99.77475 100.00000 100.14490 100.58330 100.18982 #>  [44066] 100.22974  99.74467 100.28958  99.64437 100.22974  99.73465 100.66777 #>  [44073]  99.78978  99.77976  99.59418 100.43904  99.59418  99.80481 100.34441 #>  [44080]  99.91997 100.16486 100.07497 100.57833  99.67949 100.66280  99.90495 #>  [44087] 100.60815  99.88994  99.58414  99.53894 100.30952 100.04499  99.39316 #>  [44094]  99.68450  99.72963  99.91997  99.65440  99.62429 100.19481 100.21477 #>  [44101]  99.81483  99.93498  99.78477 100.01000 100.26964 100.11493  99.61928 #>  [44108] 100.21477 100.42908  99.67949 100.51865 100.18982  99.68450 100.02500 #>  [44115]  99.84989 100.40418  99.63433  99.92497 100.16486  99.94498 100.27462 #>  [44122]  99.86491  99.63935  99.46859  99.83486  99.76472 100.18982  99.86992 #>  [44129]  99.68450 100.36932  99.68450 100.40916 100.15488 100.62803 100.12492 #>  [44136] 100.23472 100.45895  99.95999  99.70958 100.11493  99.74969 100.59324 #>  [44143]  99.93498  99.93998 100.35935 100.02500 100.36932  99.94498 100.25468 #>  [44150]  99.80982  99.72963  99.99500  99.52387  99.65440 100.19481  99.84488 #>  [44157]  99.91997 100.29955 100.51368 100.28460  99.83987  99.83987 100.42410 #>  [44164]  99.42334  99.94498  99.86491 100.16486 100.21477 100.28460  99.95999 #>  [44171]  99.75971 100.70750  99.94498 100.22475 100.12992  99.92998 100.37430 #>  [44178]  99.72462 100.23472 100.00500 100.23971  99.81984 100.30454 100.23472 #>  [44185]  99.65942 100.02000 100.20479  99.64939 100.28958  99.89494 100.50871 #>  [44192] 100.44899 100.08996 100.14490  99.71459 100.29955 100.29955 100.32447 #>  [44199] 100.13990  99.95499  99.99500 100.17485  99.70958 100.22974 100.23971 #>  [44206] 100.44899 100.07997 100.13491  99.91997 100.16986 100.24470  99.68952 #>  [44213] 100.01000 100.05498 100.06498  99.40322  99.98500  99.84989  99.96499 #>  [44220] 100.08996  99.93998  99.85990  99.87993 100.14989 100.18483  99.79980 #>  [44227] 100.44401  99.77475 100.38426  99.98000 100.09495  99.56405 100.33942 #>  [44234] 100.02500 100.30454 100.19481 100.02000  99.73465  99.59418  99.93498 #>  [44241]  99.89995  99.71961 100.44401  99.81984 100.09495 100.11493 100.35935 #>  [44248] 100.45397 100.21976  99.88994  99.84488  99.94498  99.48367  99.79980 #>  [44255]  99.90495 100.12492 100.06998  99.68952 100.24470 100.09495 100.23971 #>  [44262]  99.97500  99.75470 100.39920 100.30454 100.22974 100.33942 100.25468 #>  [44269]  99.73465  99.90996  99.89494  99.99500 100.23971  99.28746  99.95499 #>  [44276]  99.80481 100.00000  99.70456 100.26465 100.09495  99.87492  99.98000 #>  [44283]  99.55401  99.80481 100.10994  99.95999  99.85489 100.07497  99.99000 #>  [44290] 100.58330  99.64939  99.95999 100.00500  99.78477 100.33444 100.11493 #>  [44297] 100.11993 100.05498  99.32271 100.52860 100.67770  99.86491 100.20479 #>  [44304] 100.32946 100.21976  99.84488 100.50373  99.76472  99.51382  99.75971 #>  [44311] 100.18483 100.04499 100.07497  99.84488 100.34939  99.85489 100.20978 #>  [44318] 100.00500  99.53894 100.58330  99.49874 100.01000  99.70958 100.30454 #>  [44325] 100.00000 100.26465 100.51368 100.01000  99.84989 100.33444  99.76472 #>  [44332] 100.02000 100.33942  99.86992 100.13491  99.92497 100.19481 100.41414 #>  [44339]  99.83486  99.82485 100.04499 100.20479 100.11493 100.08496 100.28460 #>  [44346] 100.05498  99.96499 100.26964  99.79479 100.33444 100.25966  99.82986 #>  [44353]  99.80481  99.87492 100.03999  99.83486  99.90495 100.00500 100.21477 #>  [44360]  99.65942  99.90996  99.58414  99.78477 100.18483 100.48881  99.92998 #>  [44367] 100.38924  99.75971  99.21693  99.77475 100.01000 100.25468  99.98500 #>  [44374]  99.93998  99.82986  99.64939 100.30952  99.87993 100.18982  99.98000 #>  [44381] 100.38426  99.81984  99.69955 100.10494 100.14989 100.10994 100.21976 #>  [44388]  99.56405  99.73966  99.88994 100.16486 100.00500 100.15488  99.84488 #>  [44395] 100.40418  99.67447 100.25468  99.92497 100.25468 100.55347  99.58414 #>  [44402] 100.26465  99.68952 100.50373  99.88994 100.19980 100.06498 100.05498 #>  [44409]  99.89995 100.00500 100.44401 100.03000 100.20479  99.87492  99.24213 #>  [44416] 100.33444 100.18483  99.96499 100.17984  99.47864  99.57911 100.37928 #>  [44423] 100.16986  99.83486 100.58330  99.77976 100.08996  99.75470  99.59418 #>  [44430] 100.04999 100.13491 100.16986  99.74969 100.23472 100.08496  99.67447 #>  [44437] 100.11493  99.90495  99.52387 100.56341 100.03000 100.33444 100.16486 #>  [44444] 100.67274  99.42334 100.68267 100.06998 100.35437  99.69453 100.01000 #>  [44451] 100.42410 100.41912  99.28243 100.19481  99.60924 100.76210  99.52889 #>  [44458]  99.90996  99.71459 100.65784  99.90495 100.25966 100.27961  99.75470 #>  [44465]  99.73465 100.06498 100.56838 100.30952 100.52860 100.37430  99.61426 #>  [44472] 100.15987 100.08496  99.77475 100.46392 100.07497 100.07497  99.68952 #>  [44479]  99.72462 100.25966  99.50377  99.73966 100.12492  99.79479 100.06498 #>  [44486]  99.67447 100.25966 100.29955 100.44401 100.35935 100.36434 100.00500 #>  [44493]  99.82485  99.24717 100.30952 100.00500 100.93562 100.28958 100.34939 #>  [44500] 100.28958 100.39422  99.72462  99.94999  99.20685 100.08996  99.64437 #>  [44507] 100.11493  99.89995 100.08496  99.75971  99.74969 100.08496 100.04499 #>  [44514]  99.67447 100.18982 100.52363  99.62931 100.06498  99.99000  99.85990 #>  [44521]  99.83987  99.92497  99.68952 100.13990 100.34939  99.74969  99.92998 #>  [44528] 100.01000  99.94999 100.07997 100.16486 100.24470 100.37430  99.87993 #>  [44535] 100.25966  99.77976 100.08496 100.18483  99.67949 100.21477 100.41912 #>  [44542]  99.66444  99.84488  99.74969 100.60318 100.31949 100.10994  99.90996 #>  [44549]  99.99500 100.29457 100.13990 100.21477  99.73465 100.44401  99.61928 #>  [44556] 100.28958 100.47885 100.27961  99.98000 100.03499  99.97500 100.82162 #>  [44563]  99.54396  99.89995  99.83987  99.95999  99.81984 100.06998 100.27462 #>  [44570]  99.94999  99.97500  99.93998 100.31949  99.83987 100.24470  99.52889 #>  [44577]  99.91496  99.63935  99.83987 100.04499 100.43406 100.16486 100.18982 #>  [44584] 100.36434 100.27961  99.79980 100.03000  99.85489  99.99000  99.88493 #>  [44591]  99.85489  99.71459 100.34939 100.10494 100.02500 100.30952  99.87492 #>  [44598] 100.01500  99.81984  99.68952 100.34939  99.69453  99.97000 100.20479 #>  [44605] 100.19980 100.02000  99.86491  99.69453  99.51382  99.93498  99.91997 #>  [44612] 100.34441  99.61928 100.03999 100.25966  99.57911  99.98000  99.69955 #>  [44619]  99.59418 100.19481  99.86491  99.78978  99.95999 100.07497 100.33444 #>  [44626] 100.15488 100.33444 100.46890 100.02500  99.72963  99.95999 100.57336 #>  [44633]  99.95499  99.39316 100.15987  99.23709  99.51382  99.76973  99.35291 #>  [44640] 100.03499  99.42837 100.64293  99.51382 100.12492 100.28460 100.40916 #>  [44647] 100.10494 100.19980  99.60422 100.20978 100.58330 100.25966  99.98500 #>  [44654] 100.24969  99.54898 100.38924  99.65942  99.56405 100.28460 100.30454 #>  [44661] 100.21477 100.00500 100.41912  99.89494  99.88493 100.39920 100.27462 #>  [44668]  99.91496  99.97000 100.13990 100.00000 100.08496 100.29457 100.12492 #>  [44675]  99.82986 100.27462 100.20978 100.11493 100.26465 100.12992  99.60422 #>  [44682]  99.66444  99.57409  99.63935 100.50373  99.89494 100.03999 100.02500 #>  [44689]  99.50879 100.06998  99.63935  99.79479  99.83987  99.72963  99.82986 #>  [44696]  99.96499  99.57911 100.30952  99.83486  99.98500 100.16486 100.03499 #>  [44703]  99.77976 100.01500 100.06498  99.79980  99.54396 100.09995 100.04499 #>  [44710]  99.67949  99.82986  99.77475 100.37928 100.15488 100.01500 100.05998 #>  [44717] 100.15987  99.78978  99.89494  99.94498  99.91496 100.38924 100.71743 #>  [44724]  99.88994  99.89995  99.93998 100.07497  99.74467  99.85990  99.88994 #>  [44731]  99.61928  99.87993 100.00500 100.08496  99.81984 100.30952 100.23472 #>  [44738]  99.42334 100.09995 100.60815  99.91496 100.13990 100.32946 100.30454 #>  [44745] 100.22974 100.31451  99.99000  99.76472 100.04999  99.74969  99.54898 #>  [44752]  99.73966  99.69453  99.80481 100.07997 100.12492 100.17485  99.68450 #>  [44759] 100.16986 100.16986 100.04499 100.07997 100.22974  99.98000 100.02500 #>  [44766]  99.59920 100.15488  99.80982 100.16986 100.00500  99.99000  99.73465 #>  [44773] 100.44401 100.43406  99.86491  99.72462  99.92497  99.67949  99.58916 #>  [44780] 100.08996 100.07497  99.76472  99.87492 100.30454 100.21477 100.25966 #>  [44787]  99.75971 100.08996  99.72462  99.73465 100.03999 100.00000 100.14490 #>  [44794] 100.05498  99.85489 100.64293 100.09495 100.04999  99.44345  99.48367 #>  [44801] 100.69260 100.15488 100.26465 100.21477 100.53358  99.60924 100.04999 #>  [44808]  99.97000 100.16486 100.43406  99.62429  99.77976  99.48367  99.52387 #>  [44815]  99.91496 100.02500  99.84989  99.98000 100.31451  99.67949  99.85990 #>  [44822] 100.03000  99.70456  99.40825 100.36434 100.44899 100.55347  99.99000 #>  [44829]  99.80982 100.11493  99.71961 100.08496  99.89494 100.00500 100.11493 #>  [44836] 100.20978  99.77475 100.07497  99.61426  99.48869  99.44848 100.54352 #>  [44843] 100.02500 100.22974  99.48367 100.41912  99.35794  99.73465  99.93998 #>  [44850] 100.10994 100.35437 100.70253  99.80982 100.45895  99.54396 100.03999 #>  [44857] 100.47388  99.76973 100.64293  99.90996  99.56907  99.96499  99.95499 #>  [44864]  99.34787  99.91997  99.91496  99.50377 100.72239  99.56405 100.03499 #>  [44871] 100.25468 100.05498  99.74969  99.82485  99.95999 100.44899  99.70958 #>  [44878] 100.00500 100.20479  99.55903 100.47885  99.93498  99.74467 100.32946 #>  [44885] 100.16486 100.66280  99.77976  99.74969 100.33942 100.04999 100.35935 #>  [44892]  99.85489  99.80982 100.46890  99.95499  99.97500  99.91997  99.33781 #>  [44899] 100.12992  99.55903 100.00500 100.19481 100.51368  99.86491  99.90495 #>  [44906] 100.23472  99.86491  99.63935 100.29457 100.12492  99.76973 100.49378 #>  [44913]  99.52889 100.07497  99.78978 100.20479  99.51382 100.53358 100.38924 #>  [44920]  99.48869  99.95499  99.58414 100.22475 100.08996 100.08496 100.22475 #>  [44927]  99.65440  99.67447  99.85990  99.82485 100.28958  99.85489  99.91997 #>  [44934]  99.67949 100.30952  99.97500  99.82485  99.86491  99.99000 100.11493 #>  [44941]  99.68952  99.98500 100.40916 100.00000 100.15488 100.00500  99.87492 #>  [44948] 100.12492  99.76472  99.94498  99.95499 100.27462  99.89494  99.89494 #>  [44955]  99.97500  99.89494 100.28460  99.99500  99.49372  99.64437  99.88994 #>  [44962]  99.83486 100.45895  99.93498  99.38813 100.64790  99.95999 100.22974 #>  [44969]  99.69955 100.48881 100.20479  99.51382  99.51382  99.32774  99.38310 #>  [44976] 100.21976  99.92998  99.88994 100.11993  99.60924 100.11493  99.63433 #>  [44983] 100.19481 100.22475 100.44899 100.08496 100.41414  99.72963  99.96499 #>  [44990] 100.35437  99.80481  99.97500  99.37303  99.85990 100.11993 100.30952 #>  [44997]  99.67447 100.45397 100.03000 100.07497 100.54352  99.87993 100.20479 #>  [45004]  99.77976  99.95999 100.02500  99.87492  99.53391 100.01500 100.03999 #>  [45011]  99.74467  99.75971  99.81483  99.95499 100.41912 100.05498 100.03499 #>  [45018] 100.10494  99.91496 100.54850 100.04999  99.73465  99.97500 100.23971 #>  [45025]  99.71961 100.19980  99.60422  99.74467  99.83486  99.73465 100.13491 #>  [45032] 100.50373  99.80481 100.09995  99.90495  99.99000 100.09995  99.54396 #>  [45039] 100.33444 100.43406  99.44848 100.00500  99.76973 100.04499  99.75470 #>  [45046] 100.74225  99.88493 100.42410  99.80982 100.11993  99.89995  99.94498 #>  [45053] 100.05998 100.28460  99.60924 100.00500 100.21976 100.31451 100.01000 #>  [45060] 100.03999  99.33277  99.97000 100.28460 100.51368  99.44345 100.19481 #>  [45067] 100.31451 100.01000 100.27462  99.63433  99.89494  99.54396  99.79479 #>  [45074]  99.66945  99.90996  99.55401  99.79980 100.46392 100.40418 100.22974 #>  [45081] 100.45895 100.39422  99.76973 100.24470 100.11993 100.00000 100.30454 #>  [45088] 100.21477  99.67949 100.03999 100.05998  99.98500  99.89995  99.97500 #>  [45095] 100.14989  99.73465  99.81984 100.25966 100.25966 100.52363 100.03999 #>  [45102] 100.23472  99.92998 100.28958 100.14989  99.96499  99.81483  99.51884 #>  [45109]  99.94999  99.31264 100.17984 100.04499  99.82986  99.92998  99.86992 #>  [45116]  99.61928  99.84488 100.24470  99.51884 100.09495 100.27462 100.12492 #>  [45123]  99.68952 100.21976 100.46890 100.31949  99.94498  99.51884 100.03999 #>  [45130]  99.55401  99.66945  99.44345  99.54898  99.87993  99.81483 100.21477 #>  [45137] 100.06498  99.99500  99.83486 100.35935  99.57911  99.87993  99.48869 #>  [45144]  99.87993  99.78978 100.04499  99.54396 100.58827  99.80481 100.47885 #>  [45151]  99.66945 100.06998 100.07497  99.26228 100.23472  99.74969  99.91496 #>  [45158]  99.90996  99.84488  99.60422  99.67949 100.02500  99.90996  99.80481 #>  [45165] 100.30952 100.05498  99.77976 100.30952  99.82986 100.20978 100.54850 #>  [45172]  99.62931 100.20978 100.05998 100.29457 100.29955 100.00000 100.33942 #>  [45179]  99.53894  99.87993 100.15987 100.10494 100.43904  99.10096 100.04499 #>  [45186] 100.13990  99.28243 100.00000 100.48383  99.92998 100.14989 100.59324 #>  [45193] 100.03999 100.17984  99.71961 100.34939 100.24969 100.02000 100.10994 #>  [45200]  99.75470  99.99500 100.51865 100.01000  99.57911 100.29955  99.73966 #>  [45207] 100.10494 100.29955 100.15488  99.77475 100.09495  99.63433  99.99500 #>  [45214]  99.49874 100.12492  99.66945  99.70456  99.38310  99.86992  99.67949 #>  [45221]  99.92497 100.11493  99.59920 100.19980 100.34441  99.83486  99.78978 #>  [45228]  99.48869 100.04499  99.87993  99.51382 100.53855 100.07997  99.76973 #>  [45235] 100.08996 100.25468  99.78978  99.67949 100.08996  99.64437  99.62429 #>  [45242]  99.46356 100.41912  99.49874  99.69955 100.40916  99.44345  99.41328 #>  [45249]  99.95499  99.80481 100.19980 100.32447  99.89995 100.30454 100.02500 #>  [45256] 100.20479  99.91997  99.86491  99.95999 100.27961  99.60924 100.33444 #>  [45263]  99.72963 100.12492 100.33444  99.56405 100.10994  99.75971 100.31451 #>  [45270] 100.35935  99.70456  99.64437  99.88994  99.74969  99.60924  99.80481 #>  [45277]  99.48869 100.15488  99.85489  99.65440 100.07997 100.00000 100.26465 #>  [45284]  99.96499  99.49874  99.65440  99.80481 100.19980  99.80982  99.83486 #>  [45291] 100.18982 100.29955  99.77475  99.82986  99.66444  99.66945 100.00500 #>  [45298]  99.63935 100.16486 100.14989  99.96499  99.65440 100.23472 100.05998 #>  [45305]  99.86491 100.08496  99.53391  99.92497  99.85990  99.94498  99.85489 #>  [45312]  99.71459  99.92998  99.94999 100.23971 100.02500 100.27462 100.46392 #>  [45319] 100.02500  99.91997 100.12492  99.50879 100.25468  99.79479  99.93498 #>  [45326]  99.73465  99.91496 100.43904  99.93498  99.74969  99.91997 100.08996 #>  [45333] 100.32447 100.30952 100.50373  99.80982  99.76472 100.35935  99.93498 #>  [45340]  99.90996  99.95999 100.07497  99.78978 100.10994 100.50373  99.64939 #>  [45347] 100.00500 100.17984 100.04999 100.26465 100.08496 100.08496  99.89995 #>  [45354]  99.79980  99.99000 100.40418  99.98000  99.73966 100.01000  99.95999 #>  [45361] 100.03499 100.03999 100.50871 100.12992  99.82485 100.40418  99.86491 #>  [45368] 100.22475 100.09995  99.95499 100.19980 100.10994 100.12992  99.51382 #>  [45375]  99.92497 100.40916 100.14490 100.32946  99.63935  99.68450 100.42908 #>  [45382]  99.87492  99.85489 100.63797  99.98000 100.04999  99.64437 100.21976 #>  [45389] 100.99010 100.64790  99.67949  99.78477 100.09995 100.36932 100.29955 #>  [45396] 100.31451 100.14490 100.55844  99.47361  99.72462  99.99500  99.30257 #>  [45403] 100.16486 100.08496  99.71961  99.51382  99.74969 100.03000  99.98000 #>  [45410] 100.17485  99.38310  99.65942  99.65440 100.20978  99.59418 100.01500 #>  [45417]  99.51884 100.07497 100.48881  99.89995  99.81483  99.61426  99.84989 #>  [45424]  99.46356  99.96499 100.00500 100.43904 100.83650 100.33444  99.50879 #>  [45431]  99.58414 100.55844  99.88493 100.35935 100.32447 100.03499 100.15987 #>  [45438]  99.96499 100.10994 100.07997  99.64437  99.98000 100.59324  99.78477 #>  [45445] 100.35437 100.57833 100.02500  99.70958 100.00000  99.98000  99.89995 #>  [45452]  99.79479 100.59821  99.94999 100.17984 100.16986 100.22475  99.68450 #>  [45459] 100.32946  99.99500  99.91496 100.22475 100.55844  99.94498  99.94999 #>  [45466] 100.03999 100.08496  99.88493 100.05498  99.99500  99.67447 100.13990 #>  [45473]  99.48869  99.93998  99.54898  99.81984 100.15488 100.32447 100.05498 #>  [45480] 100.00000  99.95499  99.91496  99.80481  99.64437  99.57911  99.89494 #>  [45487]  99.63935  99.95499  99.76472 100.21477  99.44848 100.04499  99.91496 #>  [45494]  99.82986 100.12992  99.79980 100.04999 100.11493  99.36800 100.53358 #>  [45501] 100.07497  99.76973 100.14989  99.67447 100.23971  99.72963 100.74225 #>  [45508] 100.14490  99.77475  99.79479 100.28958 100.07997 100.03499 100.48383 #>  [45515]  99.81483 100.11993 100.24470  99.82986 100.02000  99.58414  99.93498 #>  [45522]  99.87492  99.83987 100.03000 100.33942  99.94999 100.02500 100.17485 #>  [45529] 100.38426  99.60422 100.22475 100.46890 100.26465 100.30454 100.51865 #>  [45536]  99.83987  99.73465  99.81984  99.51884 100.31949 100.28958  99.74969 #>  [45543] 100.12992 100.34441 100.08496 100.24969 100.43406  99.77976 100.04499 #>  [45550] 100.03499  99.76973 100.30952 100.08996 100.23971  99.71459  99.70456 #>  [45557] 100.01500  99.73966  99.80481 100.05498  99.82485 100.00500 100.25966 #>  [45564]  99.85489 100.23971  99.74467  99.84488  99.79479 100.15488 100.06998 #>  [45571]  99.68450  99.61928  99.79980 100.01000  99.97500  99.99500 100.14989 #>  [45578]  99.90996 100.51865  99.88493 100.27961  99.79980  99.30257  99.86992 #>  [45585]  99.93998 100.06998  99.63433 100.38924  99.66945  99.95999  99.63433 #>  [45592] 100.85633 100.23472 100.30952  99.98000 100.29457  99.84989  99.86491 #>  [45599] 100.51368  99.42837 100.11493 100.39920 100.20479 100.50373 100.44899 #>  [45606]  99.96499 100.03999  99.74467  99.97500  99.51382 100.25966  99.99500 #>  [45613]  99.38813 100.23971  99.82986 100.01500  99.79980 100.70253 100.22974 #>  [45620] 100.08996  99.51884 100.20479  99.79479 100.37928  99.85489 100.08996 #>  [45627] 100.09995  99.84989  99.95499  99.76973 100.17485  99.72462 100.21976 #>  [45634] 100.26465 100.69260  99.79479  99.93498 100.24969  99.58414  99.67949 #>  [45641] 100.11493  99.98500 100.03999 100.39920  99.83987 100.17485  99.62931 #>  [45648] 100.21477  99.40322  99.76472 100.22475  99.66444 100.25966  99.85990 #>  [45655] 100.01500  99.92998 100.14490 100.03499  99.86491  99.99000  99.65942 #>  [45662]  99.69955  99.62931 100.06998 100.31949 100.54352  99.80481  99.57409 #>  [45669]  99.92998 100.23472 100.55347  99.81483  99.92497 100.06498 100.40418 #>  [45676]  99.35291 100.13990 100.06498  99.98000 100.34939 100.28958  99.92998 #>  [45683]  99.85990 100.65287  99.81984 100.14989 100.20479  99.67447  99.80481 #>  [45690]  99.70958 100.02500 100.00500  99.70958 100.28958 100.13990  99.97000 #>  [45697]  99.75470 100.44899 100.63797  99.98000  99.97000  99.78978  99.69955 #>  [45704]  99.60422  99.72462 100.29457  99.83987  99.68952  99.78978 100.49876 #>  [45711]  99.66444  99.43842 100.73232 100.63300 100.15987 100.27961  99.88493 #>  [45718] 100.24470 100.52363  99.95499  99.90495  99.96499 100.55844 100.26465 #>  [45725]  99.93498 100.28958 100.18982  99.92497 100.26465 100.17984  99.66444 #>  [45732]  99.59920 100.14490  99.97000  99.62429  99.91496 100.35935 100.14989 #>  [45739]  99.99000 100.38924  99.99000 100.05998  99.68952 100.26465 100.09995 #>  [45746] 100.42908  99.81984  99.77976 100.00500 100.40916  99.44848 100.31451 #>  [45753] 100.11993 100.44401 100.05498 100.22974 100.08496 100.00500 100.22974 #>  [45760] 100.49876 100.32946 100.20978 100.50373 100.05998  99.61426  99.59920 #>  [45767]  99.97500 100.20479 100.10994 100.33942  99.69955  99.99000 100.01000 #>  [45774]  99.81984 100.11993  99.27235  99.87993  99.81984 100.06498 100.05998 #>  [45781] 100.29955 100.03000 100.29955  99.92497 100.10494 100.27462  99.80481 #>  [45788]  99.57409 100.00500 100.03499 100.04999 100.13990  99.74467 100.08996 #>  [45795]  99.66444 100.03999 100.14490  99.79479  99.84989 100.53855 100.68267 #>  [45802] 100.70253  99.80481 100.10994 100.46890 100.18982 100.38924 100.30952 #>  [45809]  99.82986  99.36800  99.90996  99.40825 100.04999  99.69453 100.27462 #>  [45816] 100.09495  99.97000 100.18982 100.10994 100.13491  99.71459  99.62429 #>  [45823]  99.83486 100.20978  99.59920  99.97500  99.69955 100.26465  99.55401 #>  [45830]  99.83486 100.19980  99.99000  99.96499  99.99000  99.75971 100.31451 #>  [45837]  99.55903  99.72963  99.90996 100.01000 100.02500 100.22475 100.04999 #>  [45844]  99.29753 100.21477 100.49876  99.72462 100.00000 100.42908 100.35935 #>  [45851]  99.80481 100.33444  99.58916  99.72462  99.93998  99.90996  99.86491 #>  [45858]  99.73966 100.10994 100.44401  99.59418 100.05998  99.81984  99.88994 #>  [45865] 100.18483 100.23971 100.06998  99.67447 100.32447  99.64939  99.44848 #>  [45872] 100.10494 100.01000  99.85489  99.68952 100.40418 100.47388 100.42410 #>  [45879]  99.66945  99.88493 100.03000 100.33942 100.06498  99.89494 100.00000 #>  [45886]  99.89494  99.86491 100.30952 100.30454  99.82485 100.16486  99.97000 #>  [45893]  99.94498 100.12992  99.91496 100.47388 100.03000 100.28958  99.77976 #>  [45900]  99.88994 100.21477 100.22974 100.12992 100.39422 100.10994 100.37928 #>  [45907]  99.65942  99.75971  99.81984  99.89494  99.82485  99.86992 100.00000 #>  [45914] 100.21477  99.87492 100.30952 100.11993  99.97500  99.69453  99.89995 #>  [45921] 100.21976  99.68450 100.70253  99.59418 100.09995  99.93498 100.25468 #>  [45928]  99.89494 100.00000  99.74467 100.22974 100.70253  99.59418  99.85489 #>  [45935] 100.09495  99.63935  99.88994 100.12992  99.47864 100.52363  99.74969 #>  [45942] 100.19980 100.33942  99.80481  99.73966 100.16986  99.82485  99.39316 #>  [45949]  99.72462  99.63935  99.84488  99.73465 100.04999 100.51865 100.12492 #>  [45956] 100.31451 100.36434 100.36932  99.52387 100.01500  99.92998  99.73966 #>  [45963]  99.66945 100.25966 100.14490  99.91496 100.21976  99.73966 100.14989 #>  [45970] 100.35437 100.06998  99.97500 100.15488 100.26964  99.90495  99.64437 #>  [45977]  99.77976  99.62429  99.99000 100.10494  99.98500 100.43406 100.12492 #>  [45984] 100.25966 100.37430 100.21477  99.51382 100.12492  99.70456  99.97500 #>  [45991]  99.90495  99.87492  99.59920 100.60815 100.06998  99.41328  99.87492 #>  [45998]  99.66945  99.74969  99.69453 100.09995  99.76472 100.07997 100.49876 #>  [46005]  99.18669  99.97000  99.70958 100.26465 100.21976 100.14490 100.05998 #>  [46012] 100.45895  99.91496  99.91496 100.34441  99.94498 100.13990  99.75971 #>  [46019]  99.69955  99.60422 100.29955 100.17485  99.98000 100.22974 100.08996 #>  [46026]  99.65942 100.71743  99.60422  99.77976 100.13990 100.30952  99.56907 #>  [46033] 100.25468  99.84989 100.12992  99.70456  99.44345  99.31264 100.13491 #>  [46040]  99.54898 100.04999 100.03000  99.39819 100.20479  99.65440  99.46356 #>  [46047]  99.64939  99.94498  99.81483 100.19980 100.11993 100.24969  99.95999 #>  [46054]  99.71459 100.11993  99.75971  99.97000 100.19980 100.62306  99.62931 #>  [46061]  99.52889  99.62429  99.84989 100.22475 100.30454 100.81667  99.79980 #>  [46068] 100.14490 100.43406 100.14490  99.80481  99.86992  99.66945 100.26465 #>  [46075] 100.16486  99.35794 100.33942 100.51865  99.91496  99.73966 100.60815 #>  [46082] 100.24470  99.58414  99.73966 100.55347  99.58414  99.77976 100.17984 #>  [46089] 100.28460 100.54352 100.33942  99.90495  99.93498  99.93998  99.52387 #>  [46096]  99.87492 100.01500 100.04999  99.82986 100.35935 100.05498 100.31451 #>  [46103] 100.22974 100.23472 100.18483  99.92497 100.22475  99.65942  99.88493 #>  [46110]  99.34284  99.62429 100.09995 100.18483 100.23472 100.04499 100.54352 #>  [46117]  99.95999 100.29955  99.73966  99.93998  99.99000 100.06998  99.80982 #>  [46124] 100.02500 100.05498  99.91997 100.35437  99.78477  99.58916  99.93498 #>  [46131] 100.15488 100.13491  99.73465 100.27961  99.90495  99.87492  99.56907 #>  [46138] 100.08996  99.36800 100.40916  99.91496 100.06498  99.61928 100.39920 #>  [46145] 100.25468 100.26964 100.16486  99.67447 100.13491  99.59418 100.33942 #>  [46152]  99.95999  99.66444 100.51368 100.20479  99.95499 100.45895  99.70456 #>  [46159]  99.95999 100.14490 100.40418  99.77475 100.45397 100.06498 100.25468 #>  [46166]  99.73966 100.22974  99.62429 100.28958 100.12992  99.80982 100.12492 #>  [46173] 100.64293 100.04499  99.92497  99.91997 100.11493 100.15488 100.18982 #>  [46180] 100.54352 100.30952  99.43842 100.26964 100.12992 100.42410  99.98000 #>  [46187]  99.70456  99.90495  99.86491  99.87492  99.83987  99.98000 100.24470 #>  [46194]  99.74969  99.78477 100.45397 100.19481  99.91496 100.08496 100.01500 #>  [46201]  99.75971 100.40418 100.01500  99.74467 100.14989  99.93998 100.70253 #>  [46208] 100.10494 100.19481  99.76973 100.16986 100.06998 100.16486 100.11493 #>  [46215] 100.49378 100.41912  99.76973 100.09995  99.54396  99.93498  99.90495 #>  [46222]  99.73966  99.97000  99.78978 100.03999 100.18982  99.92998 100.03999 #>  [46229] 100.01000 100.10494  99.51884 100.52860 100.22475 100.30952 100.16986 #>  [46236] 100.03999 100.31451  99.77475 100.39920  99.83486 100.42908 100.00500 #>  [46243] 100.42908  99.99500  99.76973  99.94999  99.75971  99.86992  99.98000 #>  [46250]  99.77475  99.94999  99.63935 100.34441 100.09495 100.31949  99.70456 #>  [46257]  99.63935 100.03499  99.99500  99.49874  99.80982  99.98000  99.22197 #>  [46264]  99.90495 100.22974 100.02000 100.11993 100.11493 100.09495  99.56907 #>  [46271] 100.39920 100.53855 100.36932  99.18165 100.00000  99.56907  99.47361 #>  [46278]  99.83486 100.19980 100.61312  99.92497 100.32946  99.82986 100.35935 #>  [46285] 100.67274 100.23971  99.67949 100.40916  99.53894 100.18982 100.13491 #>  [46292] 100.24470 100.11993 100.42908  99.98500 100.11993 100.22475  99.36297 #>  [46299] 100.35935 100.23971  99.84488 100.44899  99.69453  99.62429 100.26964 #>  [46306] 100.14490 100.17984  99.92497 100.02000  99.94498  99.99000  99.90495 #>  [46313]  99.87492 100.16986  99.92497 100.18483  99.93998 100.50373 100.56838 #>  [46320] 100.16486  99.96499  99.60924  99.75971 100.39920 100.53358  99.71961 #>  [46327]  99.68952  99.96499 100.01000 100.33444  99.81483 100.13990 100.46392 #>  [46334]  99.42837 100.07997 100.09995  99.86491 100.08996 100.29457 100.06498 #>  [46341]  99.99500 100.58330  99.39316  99.94999  99.90495 100.46890 100.28460 #>  [46348]  99.92998  99.97500 100.06498  99.93998  99.80481 100.13990 100.06498 #>  [46355]  99.82986  99.66945  99.74467 100.05998 100.47388 100.19481 100.04499 #>  [46362] 100.42908  99.96499  99.88493 100.34939  99.80481  99.80982  99.57409 #>  [46369] 100.00000  99.54898  99.86491  99.41831  99.76472  99.64437 100.03000 #>  [46376]  99.93998 100.02000 100.04999 100.58827 100.19481  99.89995 100.18982 #>  [46383]  99.82986  99.76973  99.85990  99.55903  99.83486  99.93998  99.97500 #>  [46390] 100.32447  99.54898 100.55844  99.46356 100.25966 100.08996 100.09995 #>  [46397]  99.57409  99.48869  99.57911 100.22475 100.45397 100.01000 100.05498 #>  [46404]  99.91496 100.32946  99.92497 100.23472  99.91496  99.63935 100.23971 #>  [46411] 100.00000 100.18483 100.23971  99.98000  99.93998 100.44899 100.22475 #>  [46418]  99.85489 100.12492 100.23971 100.20479 100.01000 100.48881 100.37430 #>  [46425] 100.36434 100.97029 100.07497 100.19980 100.00000  99.60924  99.77976 #>  [46432]  99.87492 100.15488  99.32271 100.68764 100.05498 100.24470 100.13491 #>  [46439]  99.51382  99.82485 100.17984 100.14490 100.48383  99.67949 100.14989 #>  [46446]  99.87492  99.85990  99.66945  99.33781  99.71961  99.84488  99.70456 #>  [46453] 100.16986  99.34284 100.04999 100.44401  99.64437 100.14490  99.91997 #>  [46460] 100.69260 100.19980  99.81984  99.79479 100.02500  99.70456 100.23472 #>  [46467] 100.06498 100.74225  99.91496  99.91997  99.97500  99.55903  99.95999 #>  [46474]  99.81483 100.38426  99.68952 100.43406  99.74467  99.80982 100.61312 #>  [46481]  99.32774  99.45853 100.15488 100.32447 100.09495  99.73966 100.21976 #>  [46488] 100.02500 100.02500  99.83486 100.11493  99.93998  99.51382 100.28958 #>  [46495] 100.17485  99.92497  99.65942  99.80481 100.32946  99.64939 100.67274 #>  [46502] 100.12492 100.04499 100.33444  99.85990 100.15987  99.88493 100.13990 #>  [46509] 100.16486 100.04499 100.13491 100.28460  99.68450 100.16486  99.74969 #>  [46516]  99.76973  99.55903 100.77202 100.06998 100.46392  99.52889 100.09995 #>  [46523]  99.87492  99.93998  99.84989  99.83486 100.16986 100.47885 100.33444 #>  [46530] 100.61312  99.80481  99.85990  99.81483  99.85990 100.30952 100.22475 #>  [46537] 100.27462  99.90495  99.73465 100.27961 100.48383  99.59418 100.21976 #>  [46544] 100.02500  99.80982 100.61809  99.81483 100.45895 100.37430 100.56341 #>  [46551]  99.90996  99.53391 100.65287  99.97000  99.91997 100.47885 100.46392 #>  [46558]  99.94999 100.05998 100.04499 100.34939  99.59418 100.22475  99.99000 #>  [46565] 100.04499  99.22701  99.97000  99.91997 100.37928  99.58414  99.74969 #>  [46572] 100.25468  99.76973  99.98000  99.46859  99.68450 100.01500 100.23971 #>  [46579]  99.95999 100.35935  99.58414  99.53391  99.58916  99.66444  99.39316 #>  [46586]  99.60924 100.22974 100.32447  99.84488  99.71961 100.36434 100.48383 #>  [46593] 100.45895  99.78978 100.35437 100.40418 100.50871  99.74969  99.85489 #>  [46600] 100.38426  99.47361 100.09495 100.23971 100.04999  99.59418 100.01500 #>  [46607] 100.31451 100.10494 100.06998  99.91496  99.88493  99.68952 100.39422 #>  [46614] 100.01000  99.73966 100.26465 100.02500  99.84488 100.27961 100.20978 #>  [46621]  99.99000 100.18982 100.00000 100.06498  99.78477 100.31949  99.76973 #>  [46628]  99.50879 100.01000 100.27961 100.26465 100.54850  99.73966 100.44401 #>  [46635]  99.79479  99.65942 100.19481  99.43339  99.85990 100.12492 100.25468 #>  [46642]  99.80481 100.34441 100.59821  99.63433  99.96499  99.44345 100.30952 #>  [46649] 100.05998 100.32946  99.92497 100.10994  99.69955 100.13491  99.57911 #>  [46656] 100.03000 100.03000 100.05998 100.04499  99.51382  99.52387  99.84989 #>  [46663]  99.78477  99.77475 100.14989  99.45853  99.72963  99.89995  99.76973 #>  [46670] 100.44899  99.84989 100.63300  99.80481  99.59418  99.96499  99.77475 #>  [46677]  99.88493 100.06998 100.21477  99.84989  99.97000 100.10994 100.07997 #>  [46684] 100.65784 100.44401  99.81483  99.48869  99.40825  99.22701 100.19481 #>  [46691]  99.87993  99.82986 100.00500  99.71961 100.15488 100.30952 100.21976 #>  [46698] 100.58827 100.26465 100.16986 100.22974  99.86491 100.28460  99.80982 #>  [46705]  99.96499 100.09495  99.99000 100.05998  99.84989 100.21477 100.25468 #>  [46712] 100.14989 100.24470 100.05498 100.40418  99.75971  99.90495 100.53358 #>  [46719] 100.17485 100.24470  99.99500 100.28958 100.04499 100.18483  99.67447 #>  [46726]  99.20181 100.01000  99.77976 100.51865 100.16486 100.19481 100.06498 #>  [46733] 100.44899 100.12992  99.83987 100.18982  99.89995 100.38426 100.22475 #>  [46740]  99.75470  99.68952 100.13491  99.97500  99.82485 100.23971  99.59920 #>  [46747] 100.21477 100.37430 100.27961  99.47864  99.73966  99.45351  99.88493 #>  [46754]  99.93498  99.50377  99.47864 100.21976  99.95499 100.06498  99.79479 #>  [46761] 100.02000  99.88994 100.43904 100.10494 100.08496  99.98000 100.29955 #>  [46768] 100.01000  99.95499 100.37430  99.83987 100.17984  99.99000  99.82986 #>  [46775] 100.46890  99.84989  99.72963 100.18982 100.25468  99.81984 100.20479 #>  [46782]  99.67949 100.03499  99.60422  99.91997 100.16486 100.02000  99.93998 #>  [46789]  99.90495  99.50879  99.72963  99.57409  99.87492 100.06498  99.74467 #>  [46796]  99.44848  99.91997  99.77976 100.20479 100.49378 100.03000  99.98000 #>  [46803]  99.75470  99.73966 100.30454 100.09495 100.35437 100.42410  99.66945 #>  [46810]  99.99000  99.96499  99.76472  99.83987 100.06998  99.84488  99.91997 #>  [46817]  99.79479 100.24470 100.15488 100.47885  99.82986  99.92497  99.67949 #>  [46824] 100.56838  99.75971 100.41414 100.07997 100.20479 100.14989  99.89494 #>  [46831] 100.36434  99.91997  99.69453  99.72462  99.76472 100.62306 100.01500 #>  [46838] 100.55347 100.01000  99.96499  99.82986  99.58414  99.68450  99.94498 #>  [46845] 100.07497 100.13491  99.31264  99.54396  99.58916  99.85489 100.15488 #>  [46852] 100.11993  99.53391 100.22974  99.79980 100.12992  99.45351  99.60924 #>  [46859] 100.11993  99.91997 100.30454 100.17485 100.16486  99.74969 100.18982 #>  [46866]  99.61426  99.86491  99.63433 100.25966  99.99000  99.94999 100.51865 #>  [46873]  99.94999  99.62931 100.35935  99.87492 100.30454 100.18982  99.76973 #>  [46880]  99.91496 100.18982 100.22475 100.35437  99.85990 100.44401  99.90495 #>  [46887]  99.77475 100.28460  99.47361  99.84488  99.97000  99.80982  99.84989 #>  [46894]  99.96499  99.66945 100.12992  99.23709 100.62803 100.12992  99.65942 #>  [46901] 100.25468  99.73465 100.07497 100.47388 100.31949 100.17984 100.13491 #>  [46908] 100.18483  99.85489 100.04999  99.61426 100.03499  99.68952 100.48881 #>  [46915]  99.82986  99.97000 100.21477  99.92998 100.28958 100.37430 100.17485 #>  [46922] 100.06998 100.33444  99.93998 100.25468 100.03000 100.19980  99.82986 #>  [46929]  99.99500 100.02000  99.67447  99.86491 100.11993 100.25966 100.50871 #>  [46936]  99.94498  99.99000 100.17485 100.34939  99.99500  99.91496  99.91997 #>  [46943]  99.86992 100.53358 100.33444  99.75971  99.47361  99.72462  99.68952 #>  [46950]  99.56405  99.76472 100.18982  99.78978  99.83486 100.12992 100.35437 #>  [46957]  99.93998  99.87492  99.93498 100.18483 100.10494 100.47388  99.92497 #>  [46964] 100.31949  99.60924  99.76472  99.76472  99.53391  99.74467 100.23971 #>  [46971] 100.05498  99.71459 100.10494  99.98500  99.38813 100.18982 100.08496 #>  [46978]  99.78978 100.55844 100.29457  99.92497  99.84488  99.87993  99.53894 #>  [46985]  99.42837 100.00000 100.37430 100.41912  99.88493  99.93998 100.22974 #>  [46992] 100.24470  99.81984 100.06498 100.03000  99.89995 100.15987 100.14490 #>  [46999] 100.06498  99.91997 100.37928 100.12992  99.92998  99.72462  99.81984 #>  [47006] 100.06998 100.39422 100.21477  99.89494  99.97000 100.52860 100.36434 #>  [47013] 100.11993 100.05998  99.90996 100.35935  99.99500  99.45853 100.12992 #>  [47020] 100.50871 100.30454 100.43406 100.40916 100.50373  99.77475  99.71961 #>  [47027]  99.72462  99.30760  99.68450  99.99000 100.33444 100.18982 100.04499 #>  [47034]  99.99500  99.62429  99.68450 100.41912 100.77698 100.35437  99.78477 #>  [47041]  99.83486  99.99000 100.20978  99.71459  99.93998 100.21477  99.74969 #>  [47048] 100.15987 100.32447  99.78477  99.88493  99.90996  99.84488  99.91997 #>  [47055] 100.16986  99.94498  99.86491 100.32447  99.35794 100.05998  99.94498 #>  [47062]  99.93498  99.88493 100.07497 100.27961 100.23971 100.15488 100.63797 #>  [47069] 100.29457  99.25220 100.11493 100.34939  99.95499  99.78477 100.34939 #>  [47076]  99.72462 100.03499 100.10994 100.46890  99.73966 100.21477 100.23472 #>  [47083] 100.53855  99.62931 100.30952 100.46392 100.50871  99.89995  99.92998 #>  [47090]  99.97000  99.93998  99.98500 100.15488 100.29955  99.67949  99.43842 #>  [47097] 100.35437  99.72462 100.01500 100.12992 100.24969  99.75971  99.97500 #>  [47104] 100.01000  99.61928 100.45895 100.39422  99.86491  99.81984 100.05498 #>  [47111] 100.40418 100.16486 100.22475 100.12992 100.07997  99.81984 100.13491 #>  [47118]  99.76973 100.10494  99.87492 100.18483  99.85489 100.38426  99.78978 #>  [47125]  99.91496 100.22974 100.40916 100.02000  99.98000 100.33942 100.37430 #>  [47132] 100.50871  99.49372 100.11993  99.81483  99.99000  99.96499  99.89995 #>  [47139]  99.92497  99.79479  99.88994  99.93498  99.99500 100.33444 100.39920 #>  [47146] 100.38426 100.05998  99.86491 100.06498 100.07497 100.45895  99.91496 #>  [47153]  99.65440 100.39920 100.05498 100.17984 100.00500  99.46356 100.36932 #>  [47160] 100.47388  99.91496 100.04499 100.11993 100.15987  99.64437  99.70958 #>  [47167] 100.12492 100.54352 100.42410 100.45397  99.91496 100.32946 100.42410 #>  [47174] 100.03999  99.74467  99.73465  99.67447  99.58916 100.12492  99.86491 #>  [47181]  99.49874  99.89995  99.91997 100.04499 100.04499 100.35935  99.55401 #>  [47188]  99.66945 100.42410 100.29457 100.24969  99.53894 100.40418 100.05998 #>  [47195] 100.03499 100.49378  99.64437 100.37928 100.15488  99.90996 100.25468 #>  [47202] 100.18982  99.61928  99.46859  99.47864  99.91496  99.94498  99.83987 #>  [47209] 100.37430  99.48869  99.88994 100.22475 100.23971 100.39920  99.67949 #>  [47216]  99.62931 100.21976 100.51865 100.65287 100.50373 100.34441  99.92497 #>  [47223] 100.24470  99.48367  99.80481 100.30454  99.66444  99.64939  99.29250 #>  [47230] 100.07497 100.36434 100.28958  99.99000  99.60422 100.22974  99.98500 #>  [47237]  99.81984 100.31451  99.75971  99.81483  99.86491 100.03999 100.16986 #>  [47244] 100.32946  99.97000  99.60422 100.31451  99.64939  99.81984 100.05998 #>  [47251] 100.07997 100.22475  99.91997 100.00500  99.95499  99.75971 100.00500 #>  [47258]  99.92998  99.88994  99.64437  99.83987  99.74969  99.94999  99.57911 #>  [47265] 100.26465 100.12492  99.75971  99.93998 100.13990 100.14989  99.66945 #>  [47272]  99.82986  99.62429  99.74467 100.79186 100.21477 100.25966 100.42908 #>  [47279]  99.96499  99.94999  99.27235  99.99500  99.82485  99.59920 100.00500 #>  [47286] 100.44899  99.97000 100.27462 100.47388  99.91496 100.26465  99.86491 #>  [47293] 100.25966  99.65942  99.29753 100.24470 100.02000  99.92497 100.06998 #>  [47300]  99.90996 100.05998 100.11993  99.97500 100.26465  99.72462 100.00500 #>  [47307] 100.14989 100.13491  99.82485  99.95499  99.79980 100.39422  99.63935 #>  [47314]  99.60422  99.86992  99.97500 100.15987  99.80982  99.46859  99.86992 #>  [47321] 100.35935 100.03000  99.94498 100.43904  99.82485  99.92998  99.90996 #>  [47328] 100.41414  99.91496 100.47388 100.22974 100.20978 100.17485  99.92497 #>  [47335] 100.04499 100.07997  99.88994 100.38924  99.75971 100.07497 100.26964 #>  [47342] 100.27961 100.19481  99.40825 100.19980 100.49378 100.21976 100.05998 #>  [47349] 100.04499 100.22475  99.70958 100.11493 100.03999 100.03000 100.08996 #>  [47356]  99.98000  99.84989  99.72462 100.24969  99.80982 100.49876  99.88994 #>  [47363]  99.61928 100.04999  99.70456 100.06998  99.75470 100.21477  99.67447 #>  [47370]  99.76472 100.53855 100.44899  99.87993 100.20978 100.08996  99.84488 #>  [47377]  99.83987  99.99000 100.07497  99.54898 100.03499 100.05998  99.93998 #>  [47384]  99.91496  99.46356  99.75470 100.04499 100.55844  99.94999 100.20978 #>  [47391] 100.02000  99.77475  99.48367  99.89995  99.80481  99.60422 100.04499 #>  [47398]  99.90495  99.70456  99.98500  99.66945 100.28460  99.84989 100.14490 #>  [47405] 100.20978 100.04999  99.83987 100.38924  99.73966 100.04499  99.77475 #>  [47412] 100.46392 100.34939 100.19481 100.04999  99.88493  99.95999  99.71961 #>  [47419]  99.87993  99.44848 100.09995 100.07497  99.87993  99.69453 100.32447 #>  [47426]  99.76472 100.25468 100.08496  99.79479  99.94999 100.17485 100.11993 #>  [47433] 100.27961  99.80481  99.80982  99.99500 100.40916  99.92998  99.62429 #>  [47440] 100.70253  99.66945 100.00000 100.00500 100.19980 100.01000  99.70456 #>  [47447]  99.59920 100.38426  99.91496 100.04499 100.34939  99.62931  99.73465 #>  [47454] 100.06998 100.23971 100.61312 100.29955 100.19481 100.22475 100.05498 #>  [47461] 100.55347  99.71961 100.28460  99.88994 100.34939 100.48383 100.03000 #>  [47468] 100.33444 100.56341 100.09495 100.42410  99.71459  99.72462 100.12992 #>  [47475] 100.62803 100.10994  99.84488 100.32447 100.22475 100.35437 100.37430 #>  [47482]  99.90495  99.78978 100.32946  99.72462 100.12492  99.78978  99.88994 #>  [47489]  99.47361  99.82986 100.03000 100.33444 100.31949 100.01000  99.90495 #>  [47496] 100.61312 100.09495  99.98500  99.84488 100.28460 100.50373  99.74969 #>  [47503] 100.40916  99.94498 100.30952  99.57911 100.04999 100.41414  99.68450 #>  [47510] 100.83650  99.61426  99.59418 100.19481  99.92497 100.04499  99.35291 #>  [47517]  99.94498  99.92497 100.27462  99.75971  99.66444 100.00000  99.88493 #>  [47524] 100.24470  99.91997  99.32774  99.46859 100.04499  99.83486 100.22974 #>  [47531] 100.08996 100.31451 100.11993  99.66444  99.74467  99.58916  99.91496 #>  [47538] 100.33444  99.78978  99.89494 100.33444 100.07497  99.80982 100.38924 #>  [47545] 100.30952 100.37928 100.30952 100.35437 100.19980  99.88994  99.83987 #>  [47552] 100.02000  99.86491  99.97000 100.33444 100.27961 100.12992 100.19980 #>  [47559]  99.90495 100.24969  99.44345 100.26964  99.92998 100.25966 100.10494 #>  [47566] 100.23971 100.14490  99.72462  99.77475  99.81984 100.03999  99.77976 #>  [47573]  99.81984  99.45351  99.71961 100.16986 100.11493 100.03000  99.91997 #>  [47580]  99.67447  99.54898 100.03499 100.45895  99.88493  99.80481  99.87993 #>  [47587]  99.87993  99.93498  99.87492  99.73465 100.20479 100.18483  99.90996 #>  [47594] 100.00500 100.39920  99.88994 100.25966 100.42410  99.53894 100.02500 #>  [47601] 100.37928  99.80982  99.69955 100.12992  99.74467  99.75971  99.99000 #>  [47608] 100.20479 100.19980 100.38924  99.88994  99.77976  99.86491 100.03000 #>  [47615]  99.63935 100.58827 100.30952  99.59418  99.93998  99.77976 100.13990 #>  [47622]  99.84488  99.90996 100.36932  99.95999  99.75470 100.11493  99.54396 #>  [47629]  99.69955  99.83987  99.63935  99.86491  99.64939  99.50377  99.45351 #>  [47636]  99.64939 100.46890  99.77475 100.05998  99.88994 100.07997  99.71961 #>  [47643] 100.15488  99.66444 100.31949  99.27739  99.87993  99.59418 100.39920 #>  [47650] 100.29955  99.79479  99.75971 100.49876  99.46356 100.42410 100.23971 #>  [47657]  99.90996 100.71246 100.25468  99.94999  99.50879 100.01500  99.97500 #>  [47664] 100.08996 100.05498 100.30952  99.80982 100.10494  99.35794 100.30454 #>  [47671]  99.99000 100.17485 100.15987 100.08496 100.10494  99.55401  99.88994 #>  [47678]  99.90495  99.78978  99.92497 100.32447 100.63300  99.59418  99.77976 #>  [47685]  99.98000 100.39422 100.10994  99.76973  99.95999  99.95499 100.07997 #>  [47692]  99.82986 100.03000 100.34441  99.34284  99.83987  99.67949  99.43842 #>  [47699] 100.29457 100.02000  99.93998  99.98500  99.98500  99.57409 100.35935 #>  [47706] 100.11493 100.28460 100.22974  99.94498  99.98000  99.98500 100.24969 #>  [47713] 100.51368  99.66945 100.22974 100.02500  99.74969  99.81984 100.16486 #>  [47720] 100.07997  99.60924  99.39819  99.84488  99.99000 100.16486  99.83987 #>  [47727]  99.97500 100.08996  99.97000 100.35935 100.27961 100.13990 100.00000 #>  [47734]  99.75971  99.60422 100.02500  99.91496  99.56907  99.70456 100.14490 #>  [47741]  99.62931 100.11993 100.04999  99.64437  99.81984  99.57911 100.25966 #>  [47748]  99.67949 100.14490  99.89494  99.95499  99.94999 100.18982 100.12992 #>  [47755] 100.14490 100.40418  99.74467 100.32946 100.23472  99.56405 100.07497 #>  [47762]  99.98500 100.09995  99.48367  99.54396  99.94498 100.40916 100.15987 #>  [47769] 100.50871  99.84488  99.90996  99.86491 100.51865  99.78978  99.94498 #>  [47776]  99.87993  99.67447  99.69453  99.99500  99.88994 100.01500  99.79479 #>  [47783]  99.73966  99.95999 100.32946  99.56405 100.09495  99.84488 100.44401 #>  [47790]  99.86992 100.24969  99.46859 100.02000 100.25966 100.22974 100.04999 #>  [47797] 100.26465  99.70958 100.18982  99.86992  99.57911 100.01500  99.94498 #>  [47804]  99.57409  99.83987  99.94999 100.38924 100.21976  99.85489  99.80481 #>  [47811]  99.80481  99.77475 100.25468  99.73465 100.20479 100.38924  99.64939 #>  [47818] 100.22974  99.73966  99.70456 100.02000  99.92497  99.94498  99.88994 #>  [47825]  99.37807 100.11493  99.85990  99.99000 100.05498  99.74467  99.33277 #>  [47832] 100.25966 100.36434  99.99000  99.98500 100.02500  99.91496  99.64437 #>  [47839] 100.62306 100.18483  99.72462 100.31949 100.31949  99.78477 100.20978 #>  [47846] 100.04999  99.81483  99.54396 100.14989 100.15488  99.83987  99.72462 #>  [47853]  99.59920  99.73966  99.65440 100.54352 100.35437 100.60815  99.80481 #>  [47860]  99.97000  99.73966 100.49378 100.50373 100.07497 100.10994 100.35437 #>  [47867] 100.22475 100.14989 100.39920  99.67949  99.60924  99.89995 100.30952 #>  [47874]  99.95499 100.39920  99.90495  99.84488  99.65942 100.42908 100.15987 #>  [47881] 100.19980  99.68952 100.35437 100.00500  99.50377 100.18483 100.08996 #>  [47888] 100.61809 100.54352 100.37928 100.02000  99.94999 100.14490  99.88994 #>  [47895] 100.23472 100.23472  99.82485 100.60318 100.12492 100.08496 100.01000 #>  [47902]  99.84989  99.47361  99.70958  99.88493  99.83486 100.12992  99.97000 #>  [47909]  99.89494 100.07997 100.10494  99.71961  99.75971  99.68450  99.69453 #>  [47916]  99.99500  99.98500  99.82485 100.01500  99.61928 100.44899 100.15987 #>  [47923] 100.27462 100.01500 100.31451 100.24969 100.26465  99.62429 100.22974 #>  [47930]  99.59920  99.87993  99.95499  99.52387 100.45895  99.62931  99.76973 #>  [47937] 100.11493  99.91496  99.55903  99.72963  99.63935 100.07497 100.41414 #>  [47944] 100.28958  99.86992  99.74969  99.97000  99.93498  99.93498 100.42410 #>  [47951] 100.06498 100.04999  99.69955  99.74969 100.11993  99.97500  99.95499 #>  [47958]  99.90495  99.64939  99.86992  99.72963 100.01500  99.65942 100.27462 #>  [47965] 100.16986 100.68764  99.64437 100.21477  99.76973  99.27235  99.52387 #>  [47972]  99.36297  99.60924 100.14989 100.01000 100.17984 100.50373  99.47864 #>  [47979] 100.16986  99.79479 100.33444 100.31949  99.91997  99.78978  99.57911 #>  [47986] 100.16986  99.55401  99.89995 100.02000  99.61426  99.82986  99.62931 #>  [47993] 100.14490 100.20479 100.07497 100.50373  99.85990 100.05498  99.98000 #>  [48000] 100.17984  99.80481  99.98000  99.96499 100.03499  99.79479 100.05498 #>  [48007] 100.11493  99.78477 100.34441 100.27961 100.03000 100.22974  99.66945 #>  [48014] 100.32946 100.11493 100.03999  99.47361  99.74969  99.64939 100.38924 #>  [48021] 100.02500 100.66777  99.81483 100.06498  99.79980  99.89995  99.96499 #>  [48028] 100.40418 100.21976  99.41831 100.60318 100.10994 100.40916  99.99500 #>  [48035] 100.38426  99.90996 100.36932  99.98500 100.47388  99.42837 100.54850 #>  [48042] 100.24470  99.98000  99.77475  99.98500  99.51884  99.80982 100.24470 #>  [48049] 100.32946 100.18483  99.82986  99.62931  99.63935  99.66945 100.08496 #>  [48056] 100.24969  99.38813  99.70456  99.98000 100.14989 100.33444 100.27462 #>  [48063] 100.10994  99.64437 100.59821 100.53855  99.54396 100.51368  99.83987 #>  [48070]  99.61426 100.21976  99.91997 100.10994 100.00000  99.70958 100.50871 #>  [48077] 100.39920  99.84488  99.41328  99.33781  99.88994 100.16486 100.11993 #>  [48084] 100.03499  99.70958  99.54898  99.92998 100.17984  99.92497 100.12992 #>  [48091]  99.71459  99.57911  99.97000 100.75217 100.22475  99.88994 100.04999 #>  [48098] 100.17485  99.68952  99.74467 100.08496 100.03499  99.34787  99.66945 #>  [48105] 100.03999 100.34441  99.52387 100.01500 100.22475 100.41414  99.88493 #>  [48112]  99.95999  99.72462 100.35437  99.97000  99.90495  99.89995 100.26964 #>  [48119] 100.25966  99.92497  99.68952 100.30454  99.77976 100.42410 100.01000 #>  [48126] 100.41414 100.10994 100.41414  99.76973 100.19980  99.85489 100.03000 #>  [48133]  99.75470  99.70958  99.71961 100.66777  99.56907 100.01500  99.61928 #>  [48140] 100.03000  99.77475 100.37928 100.54850  99.97000  99.93998  99.90996 #>  [48147]  99.95999 100.42410  99.75470 100.10494 100.12492  99.60924 100.29457 #>  [48154] 100.28460  99.76973 100.04999  99.89995  99.93498  99.65942  99.94999 #>  [48161] 100.34441  99.59418 100.25468  99.48869 100.28460  99.75470 100.14989 #>  [48168] 100.35935 100.19481 100.51865 100.32447 100.06498  99.80982  99.61426 #>  [48175] 100.22974  99.85990  99.79479  99.84989 100.21976  99.74467  99.60422 #>  [48182] 100.46392 100.22475 100.25966 100.30454 100.08996 100.00500 100.09495 #>  [48189] 100.10994  99.72963 100.05998 100.18982  99.73465  99.65440  99.92998 #>  [48196] 100.16486  99.69955  99.78477 100.09495  99.89494  99.97500 100.13491 #>  [48203]  99.79980  99.60422  99.52889 100.41414  99.66945 100.15987  99.95499 #>  [48210]  99.88493  99.90996 100.56341  99.66444  99.97000 100.32447 100.02000 #>  [48217]  99.78477 100.31949  99.91997 100.22475  99.85489  99.57911 100.04999 #>  [48224] 100.11493 100.11493 100.06998  99.67447  99.91496 100.39920 100.09495 #>  [48231]  99.49874 100.34441 100.06998  99.90495 100.37430  99.65942  99.27235 #>  [48238] 100.17485  99.60422 100.03000 100.12492  99.66945 100.04499  99.57911 #>  [48245]  99.76472  99.51382  99.52889 100.02500  99.93998 100.10494  99.96499 #>  [48252] 100.30952  99.78477  99.69955  99.70958  99.97000  99.87492  99.64437 #>  [48259] 100.09995  99.82986 100.28958  99.79980  99.83987  99.58916  99.92497 #>  [48266]  99.84488 100.02000  99.82485 100.11993 100.46890 100.40418  99.94999 #>  [48273] 100.12492 100.13491  99.91496 100.60318  99.89494  99.76973  99.55401 #>  [48280]  99.80982  99.60924  99.86992 100.20978 100.11493  99.76472  99.93998 #>  [48287]  99.68450 100.08996  99.41831  99.90495  99.97000 100.14989  99.72963 #>  [48294] 100.45397  99.70958  99.70456  99.97000 100.12492 100.12492 100.13990 #>  [48301]  99.53894  99.36297  99.87993  99.88994  99.70958  99.93498 100.11493 #>  [48308]  99.50377 100.04999 100.09495  99.66444  99.92497 100.21477 100.35935 #>  [48315]  99.69955  99.63935 100.00500 100.02000 100.05998  99.53894 100.07997 #>  [48322] 100.02000 100.30952 100.40916  99.47361  99.98500 100.76210 100.08496 #>  [48329]  99.58414 100.18483 100.34441  99.70456 100.03999 100.23971  99.55903 #>  [48336]  99.91997  99.63935 100.02500 100.35935 100.37430 100.68267 100.13990 #>  [48343] 100.46890  99.78978 100.20978  99.72462  99.99500 100.75713  99.74969 #>  [48350] 100.05998 100.24969 100.11493 100.02000  99.43842  99.91997 100.05498 #>  [48357]  99.94498  99.94498 100.09495  99.87993 100.17485  99.55903  99.93498 #>  [48364] 100.05498 100.18982 100.54352  99.79479  99.70958  99.81984  99.89995 #>  [48371] 100.66777 100.31451 100.21976 100.13491  99.90996 100.28958  99.77475 #>  [48378]  99.65440  99.75470  99.58916 100.03499  99.70456 100.00000  99.51382 #>  [48385] 100.42908  99.93998  99.96499  99.62931 100.03999 100.19481 100.42908 #>  [48392]  99.15140  99.72462  99.94999  99.72963 100.38426 100.01000 100.37430 #>  [48399] 100.00000 100.29457  99.76973  99.87492 100.25468 100.07997 100.06498 #>  [48406]  99.80982 100.34939 100.47885 100.05998 100.41414 100.25966 100.28958 #>  [48413]  99.96499  99.79980  99.50879 100.14490  99.63935  99.80982 100.34939 #>  [48420]  99.99000  99.91997 100.09995 100.30952  99.92497 100.40418  99.88994 #>  [48427]  99.36800 100.40418  99.83987  99.26732 100.32946  99.97500  99.78978 #>  [48434] 100.56341  99.72462 100.06498  99.94498 100.45397  99.95499 100.22974 #>  [48441] 100.28958 100.24969 100.15987 100.38924  99.96499 100.72239 100.32447 #>  [48448]  99.62429  99.77475  99.82485  99.60422  99.67949 100.43904  99.82485 #>  [48455]  99.94999  99.97500 100.45895  99.23709  99.69955 100.20479  99.48869 #>  [48462] 100.27961  99.65942 100.13491  99.34787 100.03999  99.63433  99.31264 #>  [48469] 100.38426 100.08496  99.72462 100.34441  99.92497  99.60924 100.12492 #>  [48476]  99.35291  99.82485 100.01000  99.71961  99.52387  99.60924 100.20978 #>  [48483] 100.02500  99.75470  99.57409  99.76973  99.97500 100.03000  99.81984 #>  [48490]  99.84989  99.87993 100.29457 100.35437  99.81483 100.25468  99.88994 #>  [48497]  99.95499 100.31949 100.51368 100.27462  99.46356 100.11993 100.40418 #>  [48504]  99.77475 100.04499 100.29955 100.21477 100.19481 100.12492 100.10494 #>  [48511] 100.09995 100.31451  99.61426 100.02500  99.95999 100.25966 100.32447 #>  [48518] 100.05998 100.53358  99.64939 100.07997  99.73465  99.71961 100.16986 #>  [48525]  99.88493 100.49876 100.40916  99.47361  99.75971  99.88994  99.50377 #>  [48532] 100.05998  99.55401 100.32447 100.32447  99.85489 100.33942  99.99500 #>  [48539]  99.89494 100.17984  99.74969  99.74969 100.43406  99.81984 100.45895 #>  [48546] 100.18982  99.98000 100.15987 100.08496  99.62429  99.75470 100.22475 #>  [48553]  99.73966  99.99500  99.58916 100.01000  99.87492 100.36434  99.84488 #>  [48560]  99.92497 100.79683 100.02500  99.84488 100.03999 100.05998  99.63935 #>  [48567] 100.07997 100.10994  99.81483 100.09495  99.81483 100.22974 100.19481 #>  [48574] 100.16986 100.18483 100.25468 100.58827  99.85489  99.59418  99.58414 #>  [48581]  99.95499 100.64790 100.34939  99.70958  99.66945 100.26465  99.99000 #>  [48588]  99.53894  99.74467 100.31949 100.12492 100.41912 100.37928 100.25966 #>  [48595] 100.40916 100.06998 100.25966  99.29753  99.80481 100.21477 100.23971 #>  [48602] 100.12992 100.24969  99.81483  99.59920 100.41912 100.02500 100.51368 #>  [48609] 100.16986  99.66945 100.08496  99.96499  99.92497 100.30952  99.87492 #>  [48616] 100.25468 100.16486  99.54898  99.86992  99.43842  99.81483  99.89995 #>  [48623] 100.37928  99.72462 100.03499 100.06498 100.60318 100.13491  99.97500 #>  [48630] 100.18982 100.45895 100.51865  99.84488  99.89995 100.22974 100.09995 #>  [48637] 100.16986  99.73966  99.71961 100.23472  99.96499  99.97000  99.45853 #>  [48644]  99.69453 100.13491  99.98000 100.41414 100.14989 100.40916 100.11493 #>  [48651] 100.33942 100.42410 100.37430  99.87492  99.98500 100.32946 100.17984 #>  [48658] 100.08496  99.66444 100.41414 100.10994  99.91997  99.70456  99.92998 #>  [48665]  99.76973 100.13990 100.32946  99.39316  99.74467  99.50879  99.53894 #>  [48672]  99.87993  99.43842 100.02000 100.02000 100.04999 100.17485  99.46859 #>  [48679]  99.92497  99.65440 100.20978  99.31767 100.14989  99.93998 100.01000 #>  [48686]  99.78978  99.95999  99.68450 100.53358 100.15488  99.83486  99.70456 #>  [48693]  99.97500 100.55844 100.12492  99.64939 100.07997 100.44899  99.55401 #>  [48700]  99.86491 100.24969 100.06498 100.04999 100.25966 100.52860 100.23971 #>  [48707]  99.88493  99.80481 100.39422 100.17485  99.99000  99.86491 100.52860 #>  [48714] 100.22974  99.87993 100.02500  99.84989 100.03499 100.21477 100.65784 #>  [48721]  99.83486  99.94498  99.76973 100.18483  99.51382  99.64437  99.99000 #>  [48728] 100.26964 100.45895 100.31949 100.06998  99.74467  99.50879  99.82986 #>  [48735] 100.45895 100.05998  99.85990  99.68450 100.11993  99.61928 100.18982 #>  [48742]  99.85489 100.40418 100.12992 100.42410 100.00500  99.87492 100.21976 #>  [48749]  99.98000  99.87492 100.46890  99.86992  99.91496  99.94999 100.31949 #>  [48756]  99.94498 100.51368 100.16986  99.84989 100.20479 100.58330  99.98000 #>  [48763]  99.73465  99.98000 100.10494 100.16986 100.38924 100.05998 100.10494 #>  [48770] 100.07497 100.17485  99.89494  99.63935 100.60815  99.99500 100.06498 #>  [48777] 100.11993 100.25966  99.79479 100.12992  99.50377  99.91496 100.04999 #>  [48784]  99.94999 100.10494  99.83987  99.84989  99.48367  99.51884  99.27235 #>  [48791]  99.97500 100.24969 100.09495  99.91997 100.19481 100.02500 100.04499 #>  [48798]  99.92998  99.92497  99.83486  99.97000  99.75971  99.97500 100.50871 #>  [48805] 100.14989  99.89995 100.13990 100.13491 100.59821  99.99000  99.83987 #>  [48812] 100.02500  99.87492 100.26964  99.69453 100.06498  99.85990  99.75971 #>  [48819]  99.88994 100.04499 100.09495 100.16486  99.74969  99.86491 100.06498 #>  [48826] 100.14490 100.58330  99.76472 100.42410  99.87993 100.20978 100.22974 #>  [48833]  99.86491  99.83987 100.48881  99.39316  99.75971  99.89494  99.24717 #>  [48840] 100.56838 100.19481 100.28958  99.27739 100.17485  99.84989  99.79479 #>  [48847]  99.93498 100.15488  99.64437  99.77976  99.85489  99.43842  99.94498 #>  [48854] 100.29955 100.00500 100.10494  99.93998 100.66280 100.32946 100.28958 #>  [48861] 100.49876  99.98500 100.07997  99.69955  99.75470  99.63433 100.39920 #>  [48868] 100.03000 100.36932  99.67949  99.86491 100.02500 100.10494  99.68450 #>  [48875] 100.24470 100.19980  99.70958 100.22475  99.73465  99.86491  99.90996 #>  [48882]  99.95499  99.87492  99.54898 100.08996 100.34939  99.95999 100.13491 #>  [48889] 100.48383  99.79980  99.93998  99.78477 100.19481 100.27462 100.51368 #>  [48896]  99.99000  99.71961  99.87492 100.33444 100.24470 100.07497 100.05998 #>  [48903] 100.66777 100.19980 100.16486 100.45895 100.04999 100.02000  99.57911 #>  [48910]  99.71459 100.35935  99.76973 100.44401 100.33942 100.22475 100.04999 #>  [48917] 100.02500  99.85990  99.80481  99.94498 100.31451  99.86992 100.21976 #>  [48924]  99.91496  99.90495  99.85990 100.18483  99.63433 100.15987  99.24717 #>  [48931]  99.71459  99.99500 100.37928 100.09995 100.24470 100.04499  99.77976 #>  [48938] 100.39422  99.94999 100.05998 100.61809  99.90495  99.73966  99.84488 #>  [48945]  99.58414 100.15488  99.87993  99.68450 100.35935  99.79980  99.75971 #>  [48952] 100.28460  99.67949  99.74969  99.90996 100.26964 100.02500 100.13491 #>  [48959] 100.19481  99.65440 100.33942  99.81984 100.65287 100.28460 100.19481 #>  [48966]  99.96499  99.93998 100.39422 100.07997  99.58414  99.94498 100.53358 #>  [48973]  99.93498  99.29753 100.51865 100.33942 100.15987 100.25966  99.99500 #>  [48980] 100.31949 100.05998 100.48383  99.94498 100.41414  99.54898 100.46890 #>  [48987] 100.26465 100.37430 100.24969 100.13491 100.19481 100.23971 100.10494 #>  [48994]  99.96499 100.46392 100.24470 100.18982 100.04499  99.83486  99.85489 #>  [49001]  99.81984  99.47864 100.05498 100.08496 100.16986  99.78477  99.94498 #>  [49008] 100.47388  99.55401 100.07997 100.08996  99.79980  99.90996  99.95999 #>  [49015]  99.93498  99.63433 100.34939 100.39920  99.53894 100.31949 100.10494 #>  [49022]  99.61426 100.12492 100.82658 100.10994  99.48367  99.86491  99.57911 #>  [49029]  99.63935 100.07497 100.10994 100.15987 100.00500  99.87993  99.69955 #>  [49036] 100.24470 100.17984  99.40322 100.35935 100.78194  99.94498 100.28460 #>  [49043]  99.92998 100.20978 100.39920 100.10994 100.22475  99.92998 100.21477 #>  [49050] 100.24969 100.03000  99.73966 100.01000  99.98500 100.76706 100.29457 #>  [49057]  99.59418  99.91496  99.93998 100.27961 100.13990  99.50879 100.21477 #>  [49064] 100.03499 100.26465  99.85990 100.29457 100.29457 100.10994 100.08996 #>  [49071] 100.12992  99.57409 100.56838 100.10994 100.13990 100.26465 100.35935 #>  [49078] 100.17984  99.87993  99.58414  99.87993  99.74467 100.36932  99.65440 #>  [49085] 100.24969  99.63433 100.10994  99.65942 100.26465 100.10994  99.69955 #>  [49092]  99.91496 100.00500 100.01500 100.12492 100.33942  99.64939  99.58414 #>  [49099] 100.51865 100.41912  99.77976 100.73728 100.47885 100.13491 100.00000 #>  [49106]  99.86992 100.32946 100.06498 100.20479 100.30952  99.91997 100.43904 #>  [49113] 100.11493  99.83987 100.18982 100.08496  99.78978 100.04499 100.31451 #>  [49120]  99.73465  99.73465 100.39422 100.43904 100.32447 100.33444  99.86491 #>  [49127] 100.57833  99.93498 100.21976  99.89995  99.72963 100.09995 100.48383 #>  [49134] 100.42908 100.34441 100.20978 100.27462  99.71961 100.02000  99.33277 #>  [49141]  99.61426  99.53391 100.53855  99.76973 100.31949  99.88994  99.70456 #>  [49148] 100.51865  99.85990  99.99000 100.26465  99.97500 100.39422  99.94498 #>  [49155] 100.06998  99.75470  99.68952 100.13990 100.02500  99.88493 100.24969 #>  [49162] 100.05998 100.21976 100.83154  99.61928 100.09995 100.48383  99.73966 #>  [49169]  99.79479  99.99500 100.08496 100.46392  99.55401  99.86491  99.94999 #>  [49176] 100.39422  99.54396  99.94999 100.03000 100.30952  99.89995  99.90996 #>  [49183] 100.02500 100.26465 100.18982 100.31949  99.80982  99.75971 100.13491 #>  [49190] 100.21477 100.07497  99.84989 100.38426 100.34939 100.10994  99.58414 #>  [49197]  99.90495  99.79980  99.70958 100.12992  99.97000  99.88493  99.75971 #>  [49204] 100.28958  99.93498  99.74969 100.24470  99.76472 100.38426  99.93498 #>  [49211] 100.17984  99.64939  99.34787  99.83987  99.96499  99.52387  99.91997 #>  [49218] 100.10994 100.10494 100.23971 100.06998  99.86491  99.77475 100.02000 #>  [49225] 100.32447 100.28460  99.94999 100.27961 100.02500 100.27961  99.50377 #>  [49232] 100.27961 100.18483  99.56405  99.97500 100.02000 100.61809 100.13990 #>  [49239]  99.39819  99.83486  99.83486 100.14490  99.51884  99.51382 100.05998 #>  [49246]  99.95999 100.09495 100.44401  99.68450 100.34939 100.29955  99.70456 #>  [49253]  99.89494  99.68952 100.61312  99.84989 100.05998  99.67949  99.84989 #>  [49260]  99.77475  99.97000  99.67949  99.77976  99.95499 100.63300  99.64437 #>  [49267]  99.44848  99.75971 100.11993  99.77475 100.00500  99.78477  99.82986 #>  [49274]  99.66945  99.91496  99.86992  99.89995 100.24969 100.18483 100.26964 #>  [49281]  99.74969  99.88493  99.17661 100.40418  99.95499  99.90495 100.45397 #>  [49288] 100.07497 100.03999 100.24969 100.12492  99.98500  99.81984  99.93998 #>  [49295] 100.03000 100.22974 100.45397 100.38426  99.87492 100.21477 100.01000 #>  [49302]  99.80982 100.18483 100.05998  99.85489  99.44345  99.93998  99.78978 #>  [49309] 100.54850 100.07997 100.35935  99.64939 100.34939  99.68450 100.36932 #>  [49316] 100.16986 100.14490  99.43339  99.99000 100.67770 100.18982  99.78978 #>  [49323]  99.95999  99.60924  99.89995 100.02500  99.88493 100.30952 100.02000 #>  [49330] 100.19481  99.87993 100.04999 100.34939  99.52387  99.68952  99.33277 #>  [49337] 100.07497 100.05498 100.01500 100.21976  99.73465  99.83486 100.28958 #>  [49344] 100.34441 100.20978 100.06998 100.03999 100.15488 100.12492 100.08496 #>  [49351] 100.12992  99.40825  99.61426  99.92497  99.84989 100.29955 100.43904 #>  [49358]  99.83486  99.90495  99.46356 100.69260 100.11493  99.91997 100.25966 #>  [49365] 100.03499  99.69453 100.07497 100.35437  99.98500 100.13990  99.76472 #>  [49372]  99.66945 100.11993 100.00000  99.75971  99.39819 100.13491  99.88493 #>  [49379] 100.08996 100.03000 100.46890  99.93998  99.66444  99.93998  99.72462 #>  [49386]  99.47864 100.03999 100.20978  99.80982 100.28958  99.40825  99.44345 #>  [49393] 100.39422  99.84488 100.04999 100.27961  99.99000  99.76973 100.20978 #>  [49400] 100.08496  99.71459 100.58330  99.95999  99.92998  99.86992  99.79479 #>  [49407]  99.80982  99.67447  99.90495 100.01000 100.13990  99.81984 100.00500 #>  [49414]  99.60924 100.00000 100.12492  99.97000 100.14490 100.13491 100.29457 #>  [49421]  99.67447  99.82986 100.60318  99.71459 100.06498 100.31949  99.54898 #>  [49428]  99.88994 100.07497 100.18982 100.30454 100.32447 100.23971  99.39316 #>  [49435]  99.72963  99.94498 100.17485 100.00000 100.21477 100.26465 100.00500 #>  [49442]  99.92497 100.32946  99.51884 100.00500  99.83486 100.30454 100.24969 #>  [49449]  99.90996 100.37928 100.15488  99.87492  99.92998  99.85489 100.64790 #>  [49456] 100.23971 100.05498  99.66945 100.58330 100.52363 100.18483 100.04999 #>  [49463]  99.62931  99.89494 100.65287  99.89494 100.31451  99.70958  99.74969 #>  [49470]  99.95999  99.84488 100.01000  99.84989 100.28460 100.02500 100.33444 #>  [49477] 100.22974  99.61426  99.50879 100.27462 100.05498  99.90996  99.74969 #>  [49484]  99.89995  99.77475  99.77976  99.65942  99.73465 100.17984  99.74969 #>  [49491] 100.31451 100.12992 100.08996  99.98500 100.33942  99.80982  99.69955 #>  [49498] 100.19980  99.95499  99.77976 100.27961  99.96499 100.13990 100.01000 #>  [49505]  99.51884 100.03000 100.08496 100.15987  99.80481  99.76472 100.44401 #>  [49512]  99.93498  99.86491  99.87492  99.93998  99.56405 100.18982 100.31949 #>  [49519]  99.75470 100.14490 100.24969 100.17485 100.05498  99.91997  99.72963 #>  [49526]  99.65440 100.46392 100.08496  99.66945  99.71459  99.66444 100.06998 #>  [49533] 100.25966  99.96499  99.50879  99.80481 100.35935 100.27961  99.82485 #>  [49540] 100.53358 100.07997  99.46356 100.46392 100.37928  99.85990 100.08496 #>  [49547] 100.12492 100.34441 100.24969  99.64437 100.21477  99.39819 100.24470 #>  [49554]  99.71459  99.39316 100.03999  99.95999 100.01000  99.57409  99.81984 #>  [49561] 100.01500  99.52889 100.20479 100.14989  99.39316 100.14989  99.61426 #>  [49568]  99.87492  99.93998  99.92497  99.72963 100.14989  99.89494 100.02500 #>  [49575] 100.20978 100.01000  99.93998 100.18982  99.52889 100.41912 100.09495 #>  [49582]  99.48367  99.84989 100.01000 100.35935  99.67447  99.90495  99.90495 #>  [49589]  99.85990  99.86992  99.75971 100.05498  99.69453  99.90495 100.28958 #>  [49596]  99.26228 100.32946  99.49372 100.53358 100.21477  99.99500  99.59920 #>  [49603]  99.97000  99.81984 100.24470  99.89995 100.13491  99.85489  99.99000 #>  [49610] 100.26964 100.08496 100.16986 100.13491 100.63797 100.29457  99.66945 #>  [49617] 100.09995  99.70456  99.74969  99.74467  99.81984 100.31949  99.55903 #>  [49624]  99.78978 100.22974  99.63433  99.73966 100.26465  99.99500 100.16986 #>  [49631] 100.05998  99.97000 100.17485 100.39920  99.91997 100.12992 100.22475 #>  [49638] 100.04499 100.24969 100.06998  99.67949 100.14989  99.96499 100.03999 #>  [49645] 100.05998  99.82986  99.44345  99.88493  99.81483  99.80481  99.33277 #>  [49652] 100.08996  99.92998 100.06498 100.09495  99.83987 100.08996  99.81483 #>  [49659]  99.97500  99.76472  99.61928  99.62931  99.77976 100.76706 100.13990 #>  [49666] 100.09995  99.68450  99.51884  99.92998  99.95999 100.16986  99.62931 #>  [49673] 100.02000 100.17984 100.07997  99.90996 100.02500 100.13491 100.50871 #>  [49680] 100.17485 100.14490 100.07997  99.53391 100.45397 100.41912  99.79479 #>  [49687] 100.33444 100.16986  99.63935 100.57336  99.92497  99.98000 100.11993 #>  [49694]  99.54898 100.26964  99.39819  99.86992  99.73966 100.39422 100.05498 #>  [49701] 100.25468  99.97500  99.94498 100.32447  99.67447  99.84488 100.10994 #>  [49708] 100.02500  99.75470  99.70456 100.24470  99.82485  99.95499  99.95999 #>  [49715] 100.05498  99.53391  99.77976 100.38924 100.08496  99.99000 100.08496 #>  [49722] 100.24470 100.10994 100.13491  99.95999 100.34441 100.52860 100.12492 #>  [49729]  99.77976  99.84488 100.85138 100.06998 100.31949 100.26964  99.72462 #>  [49736]  99.64939  99.98500 100.07997  99.79980 100.28958 100.05998 100.61312 #>  [49743]  99.64939 100.16486  99.73465 100.30952  99.87993 100.04999 100.06998 #>  [49750]  99.40825  99.93498  99.58916 100.10994 100.16486  99.59920 100.06498 #>  [49757] 100.69757 100.09495 100.20479 100.03000  99.89995  99.86491  99.53391 #>  [49764] 100.11493  99.85990  99.94498  99.99500 100.28958  99.93498 100.44899 #>  [49771]  99.72963 100.26964 100.08496  99.79479 100.03999  99.78978 100.34441 #>  [49778] 100.52860 100.49876 100.60318  99.91997 100.16486 100.16986 100.04999 #>  [49785] 100.40418 100.07497  99.96499  99.94498  99.97000 100.34441  99.85990 #>  [49792] 100.42410 100.19980  99.89995  99.96499  99.83486 100.41414 100.17984 #>  [49799] 100.20479  99.71459 100.01500  99.61426 100.03499  99.62931 100.10994 #>  [49806] 100.14490  99.66945  99.83987  99.69453  99.48367 100.48881  99.78477 #>  [49813] 100.39422  99.53894 100.35437  99.91997  99.56405  99.93498 100.41912 #>  [49820] 100.05498 100.34441  99.89995 100.42410 100.16986  99.72462 100.50373 #>  [49827] 100.52363 100.12492 100.02000  99.93498  99.78978 100.29457  99.50879 #>  [49834] 100.26964 100.36932  99.90996 100.17485  99.68952 100.59324 100.39422 #>  [49841]  99.75971  99.80481  99.86491  99.93998 100.17485  99.97500 100.16986 #>  [49848]  99.76472  99.61928  99.67949  99.79479  99.66444 100.40916 100.03999 #>  [49855] 100.06498 100.16486 100.28958 100.07997 100.14490 100.43406  99.79980 #>  [49862] 100.32946 100.35437 100.19481  99.66945  99.77976 100.13990 100.03000 #>  [49869] 100.19481  99.85489 100.31451  99.97000  99.70958 100.08496 100.02000 #>  [49876] 100.09495  99.67949 100.28958 100.25966  99.76472 100.39920 100.31451 #>  [49883]  99.53391  99.83486  99.43842  99.67949 100.00500  99.66945  99.69453 #>  [49890] 100.52363 100.07497 100.07497 100.01500  99.88994  99.84989  99.79479 #>  [49897] 100.26964 100.20479  99.76472 100.29457  99.80982  99.56907 100.26465 #>  [49904] 100.18982  99.50879  99.86992 100.10994  99.61426 100.27462  99.46356 #>  [49911] 100.06498 100.11493 100.04999  99.65942 100.25966 100.05498 100.14490 #>  [49918]  99.39316 100.37928 100.21477 100.18982  99.44848  99.99000 100.23472 #>  [49925] 100.36932  99.90495 100.12492 100.31451 100.05998 100.03499 100.40916 #>  [49932] 100.03000 100.00500  99.49874 100.02500  99.97500  99.87993  99.65440 #>  [49939]  99.88994  99.57911  99.78477 100.23971 100.28460  99.93498 100.31949 #>  [49946] 100.30454  99.93498 100.25966  99.38310  99.72963  99.88994  99.52387 #>  [49953]  99.41831  99.49372 100.05998 100.40916  99.84488 100.50373  99.97500 #>  [49960] 100.42410 100.05998 100.03000 100.10494 100.33942  99.83987 100.07497 #>  [49967]  99.88994 100.25966 100.07497  99.37303  99.84989  99.99000  99.74969 #>  [49974] 100.01500 100.16486 100.01500 100.03999  99.99000  99.91496 100.09495 #>  [49981] 100.21477 100.53358 100.44401  99.90495 100.22974 100.12492  99.94999 #>  [49988] 100.03000  99.90996  99.49372 100.06998 100.79186 100.22974  99.81984 #>  [49995] 100.14490 100.50871  99.63433  99.78978 100.19481 100.20479 100.10494 #>  [50002]  99.72462  99.92497 100.03499 100.44899  99.65942  99.87492 100.23472 #>  [50009]  99.68450 100.22475  99.72963  99.69453 100.40418  99.97500 100.03000 #>  [50016] 100.12992  99.72963  99.78477  99.89995  99.85990 100.32447 100.12492 #>  [50023]  99.79479 100.24470  99.76472 100.01000 100.24470  99.73966 100.23472 #>  [50030]  99.92497  99.66444 100.18982 100.09495  99.70456  99.87492  99.83987 #>  [50037]  99.99500  99.91496  99.79980 100.31451 100.26964 100.15987  99.78477 #>  [50044]  99.81984 100.12492  99.97500  99.51884 100.25468 100.02500 100.11493 #>  [50051]  99.42334  99.62931 100.62306  99.71961 100.28958 100.11493  99.84488 #>  [50058] 100.12992  99.63935 100.20978 100.42908 100.02500 100.65287  99.78978 #>  [50065] 100.37430 100.11493  99.59418 100.06498  99.82986  99.90996 100.04499 #>  [50072] 100.00000 100.21976  99.98500 100.45895 100.01000 100.09995 100.12992 #>  [50079] 100.34441  99.62931  99.90495 100.09495  99.70958  99.80481  99.94999 #>  [50086] 100.15987  99.80481 100.17485  99.89995  99.94999  99.65942 100.11993 #>  [50093]  99.93498 100.24969 100.47388  99.82986  99.50377 100.15987 100.31949 #>  [50100] 100.02000 100.31949 100.07497 100.29955 100.07497  99.73465  99.83987 #>  [50107] 100.13491 100.02000  99.91997  99.97500 100.28460 100.70750 100.29457 #>  [50114]  99.67949 100.12992  99.99500 100.09995 100.18483 100.25966  99.81984 #>  [50121]  99.76472  99.54898 100.16986 100.12492  99.92497  99.61426 100.42410 #>  [50128]  99.69955 100.31451 100.26465  99.87993  99.79980  99.52889 100.34939 #>  [50135]  99.50879  99.73465 100.43904  99.27739 100.00000  99.84488 100.38426 #>  [50142]  99.43842  99.45351  99.77976 100.14490 100.39422 100.17984 100.04499 #>  [50149] 100.12992 100.11993  99.79479 100.13990 100.26465 100.71743  99.68952 #>  [50156]  99.58414  99.98500  99.61928 100.24969  99.88994 100.38924  99.97000 #>  [50163]  99.91496  99.84989 100.41912  99.99500  99.99500 100.43406  99.98000 #>  [50170] 100.01000  99.84989  99.64939 100.36932  99.74969 100.25966  99.78978 #>  [50177]  99.38813  99.86491 100.63797 100.16986  99.98500  99.26732 100.21976 #>  [50184]  99.60924  99.49874 100.30952  99.87492 100.08996 100.39920 100.25468 #>  [50191]  99.70456 100.16986 100.28958  99.80481 100.09995  99.66945  99.81483 #>  [50198] 100.18483 100.41912  99.93998  99.51884  99.90996  99.81483 100.04499 #>  [50205] 100.13491  99.76973  99.86491  99.93498 100.04499 100.51865  99.93498 #>  [50212]  99.99500 100.01500 100.67770 100.05498 100.16486 100.15987 100.04999 #>  [50219] 100.14989 100.16486 100.84146 100.12492 100.57336 100.00000  99.60422 #>  [50226]  99.61928  99.68450  99.75470 100.46392  99.57409  99.95999 100.29955 #>  [50233]  99.46859 100.49378  99.78477 100.08496  99.84488 100.12992  99.72462 #>  [50240] 100.11493  99.89494 100.20479 100.49876  99.93998  99.89494  99.94498 #>  [50247] 100.53855 100.04499 100.45397 100.10494 100.36932  99.84488 100.06498 #>  [50254]  99.91997  99.71961 100.19980  99.95499 100.43406  99.79479 100.24470 #>  [50261]  99.60422 100.14989  99.65440  99.55903  99.89995  99.92497  99.68450 #>  [50268]  99.99000  99.77475  99.51884 100.54850 100.04999 100.39920  99.84488 #>  [50275] 100.38426 100.05498 100.18483 100.21976 100.58330  99.69955 100.07497 #>  [50282]  99.97000  99.19173  99.96499  99.68952 100.07497  99.82986 100.30454 #>  [50289] 100.06498 100.46392 100.04999  99.56405  99.43339 100.33942 100.33444 #>  [50296]  99.69955 100.11493  99.76973 100.10994  99.75470  99.73966  99.86992 #>  [50303]  99.90996  99.48367  99.45351 100.14989 100.45895 100.01500  99.92497 #>  [50310] 100.28958 100.16986 100.13990  99.92998 100.14989  99.52889  99.62429 #>  [50317]  99.94498  99.36297 100.38924  99.54396 100.06498 100.29457  99.84488 #>  [50324] 100.16986  99.76472  99.89494 100.32946  99.94999 100.01000 100.43406 #>  [50331]  99.83987  99.97000 100.23971  99.62429  99.99500  99.87492 100.45895 #>  [50338] 100.01500 100.11993  99.92497 100.04999  99.74969 100.11493 100.19481 #>  [50345]  99.83486  99.92998 100.46890  99.92497 100.38924  99.74969 100.23971 #>  [50352] 100.29955  99.61426 100.42908 100.01500  99.78978  99.97000  99.95499 #>  [50359]  99.73966 100.39920 100.21477  99.86491 100.58330  99.83987 100.07497 #>  [50366]  99.78978 100.16486 100.04499  99.60422  99.93998  99.76973  99.77475 #>  [50373]  99.73465 100.49378 100.31451 100.18982 100.34939 100.13990 100.37430 #>  [50380] 100.19481 100.40916  99.89995 100.23971  99.72462 100.30454 100.00000 #>  [50387]  99.83987 100.35935  99.56405 100.47388 100.14490 100.42410 100.18483 #>  [50394]  99.84989  99.58916  99.52889  99.91496  99.78978  99.88493  99.86992 #>  [50401]  99.60422  99.70958  99.65440  99.95499  99.95499  99.91496 100.29457 #>  [50408]  99.95499 100.48383  99.84488 100.15488  99.77475 100.02500 100.18483 #>  [50415] 100.08496 100.23971 100.70750  99.41831  99.77976 100.09995  99.94498 #>  [50422]  99.95499  99.75470 100.09495  99.85990 100.14989  99.56405 100.29955 #>  [50429] 100.06498  99.91496 100.03499  99.84488 100.02500 100.04499 100.01500 #>  [50436] 100.57833  99.75971 100.05498  99.92998 100.20978 100.42410  99.69955 #>  [50443] 100.19481  99.88493 100.31949 100.28958 100.12992 100.08496  99.61426 #>  [50450] 100.23971  99.56907  99.71961 100.05998 100.01500 100.44401 100.09495 #>  [50457] 100.39422  99.93498 100.17485  99.93998 100.13491 100.48881  99.93998 #>  [50464]  99.44848 100.09995 100.02000  99.58414 100.29457 100.64790 100.13491 #>  [50471] 100.35437  99.80982  99.95499 100.07497 100.68764 100.29955 100.00500 #>  [50478] 100.14490 100.50871 100.32447 100.29955 100.09495 100.10494 100.08996 #>  [50485] 100.22475 100.05998 100.28958 100.24969  99.73465  99.94498  99.63433 #>  [50492]  99.73465 100.14989 100.09495 100.20978  99.74467  99.92998  99.72462 #>  [50499]  99.66444  99.52889  99.72963 100.00500 100.30952  99.80982  99.91496 #>  [50506] 100.09495  99.68952  99.36297  99.91496  99.87993  99.60924  99.84488 #>  [50513]  99.86992  99.82986 100.42410 100.16486 100.40418 100.36434 100.16986 #>  [50520]  99.91997 100.26964  99.32774  99.68450  99.93998  99.90495  99.89995 #>  [50527]  99.80982 100.32946 100.40418  99.60924 100.10494  99.51884  99.54396 #>  [50534]  99.47361  99.81483  99.72462  99.73966  99.41328  99.66444  99.91496 #>  [50541]  99.74467  99.37807  99.98500  99.84488  99.83486  99.97000  99.87993 #>  [50548] 100.07997 100.31949 100.12492  99.53391 100.11493  99.71961  99.98500 #>  [50555]  99.87993  99.98000  99.86992  99.94999 100.11993 100.32946  99.77976 #>  [50562]  99.90495  99.37807  99.59418  99.68450  99.64939 100.39422  99.63433 #>  [50569] 100.16486  99.53391  99.56907 100.16486  99.78978 100.43904  99.87993 #>  [50576] 100.16986 100.46392 100.06498 100.58330 100.07497 100.02500 100.13491 #>  [50583] 100.05498  99.49874  99.82485  99.80982 100.16986 100.48383 100.16486 #>  [50590] 100.06498  99.93498  99.63433  99.87993 100.42410 100.11493 100.77202 #>  [50597]  99.64939 100.18982  99.89995 100.42908 100.18483 100.29457  99.82986 #>  [50604]  99.52889 100.19481  99.91997 100.32447  99.47864  99.90996 100.08996 #>  [50611] 100.15987 100.27462  99.72462 100.07497 100.64293 100.33942  99.60924 #>  [50618] 100.10494 100.43904  99.88493 100.28460 100.23971 100.57833  99.56405 #>  [50625] 100.15488 100.43406 100.10994  99.53894  99.74467  99.72963  99.68952 #>  [50632] 100.19481  99.53894 100.03000  99.92998 100.24969  99.78978 100.41414 #>  [50639] 100.41912  99.64939  99.73966  99.70456  99.76973 100.44401  99.90495 #>  [50646] 100.23472  99.82986 100.40418  99.84488  99.93998 100.04999 100.13990 #>  [50653]  99.76472  99.49874 100.22974  99.90996  99.73465 100.30454 100.22974 #>  [50660]  99.78477 100.23472  99.80481  99.89995  99.45853  99.50377  99.96499 #>  [50667]  99.59418 100.20479 100.17485 100.19980 100.19980 100.21477 100.03000 #>  [50674] 100.37430  99.64939 100.36932  99.74969  99.58414 100.24969 100.20978 #>  [50681] 100.27462 100.22974  99.89494 100.02000  99.78477  99.92998  99.64939 #>  [50688]  99.76973 100.05498 100.17485  99.82485 100.45895 100.20479  99.89995 #>  [50695] 100.86625  99.66444 100.32447 100.03000  99.95499 100.24969 100.13990 #>  [50702]  99.58414  99.65440  99.96499 100.03999 100.59324  99.54898 100.02500 #>  [50709]  99.76472  99.87993 100.45895  99.95999  99.55903  99.40322  99.61928 #>  [50716] 100.02500 100.07997  99.94999 100.58330  99.88994 100.41912 100.50871 #>  [50723] 100.38924 100.09495  99.72963 100.20479 100.03999 100.04499 100.07997 #>  [50730] 100.17984 100.10494  99.45351  99.97000  99.79479  99.72963  99.72462 #>  [50737] 100.35437 100.31451 100.22974  99.97500 100.09495 100.22475  99.96499 #>  [50744] 100.65287  99.71459 100.03000  99.56405 100.49378  99.99000  99.36800 #>  [50751] 100.15488 100.29955 100.15987  99.91997  99.50377  99.81483  99.84488 #>  [50758] 100.63797  99.90495  99.45351  99.62429 100.32946  99.75470 100.03000 #>  [50765] 100.17984  99.86992  99.57409  99.91496 100.03000  99.51884  99.78978 #>  [50772]  99.76973  99.78477  99.69453  99.90996 100.83650  99.59920  99.77976 #>  [50779] 100.26964  99.53391 100.18483 100.02500 100.11993 100.33444  99.82986 #>  [50786] 100.12492  99.97000  99.87993  99.72963  99.68450  99.87993 100.27961 #>  [50793] 100.13990 100.15488 100.24969 100.46890  99.99500  99.72462 100.37928 #>  [50800] 100.54352 100.00500  99.78978 100.13491 100.33444 100.12992  99.62429 #>  [50807]  99.44345 100.01500 100.05498  99.58916 100.22475 100.52860  99.88994 #>  [50814] 100.31451 100.18982  99.76472  99.49874  99.94498  99.94999 100.51865 #>  [50821]  99.47361 100.47388  99.99500 100.45397  99.48869 100.45397 100.29955 #>  [50828]  99.87492  99.90495  99.98500 100.06498  99.78477  99.57409  99.79479 #>  [50835] 100.09995 100.09495  99.90996 100.05998  99.76472  99.98000 100.03499 #>  [50842]  99.79980  99.70456 100.47885  99.34284 100.19481 100.01500 100.04999 #>  [50849]  99.22197  99.98500  99.84488  99.69955 100.02000 100.12492  99.99000 #>  [50856]  99.81984  99.73465 100.09995  99.76973 100.10994 100.03000 100.29457 #>  [50863]  99.96499 100.16986 100.26964 100.32946 100.03999  99.85990 100.33942 #>  [50870] 100.27961 100.28958 100.23971  99.91496 100.22974  99.64939  99.99000 #>  [50877] 100.16986 100.15987  99.54898  99.94999 100.36932 100.01500  99.51382 #>  [50884]  99.89494 100.47885 100.33444 100.50871 100.04999 100.28958  99.79479 #>  [50891]  99.89494 100.22974 100.01000 100.01500 100.67274 100.12492 100.23971 #>  [50898]  99.62931  99.87492  99.97500  99.91997  99.40825  99.73465 100.50871 #>  [50905]  99.64939  99.39819 100.28958 100.16986  99.67949 100.22974  99.63935 #>  [50912]  99.65942  99.91496 100.32447 100.72735  99.66444 100.04499  99.83987 #>  [50919] 100.41414 100.19481 100.42908 100.15488  99.87492 100.19980  99.94498 #>  [50926]  99.78477 100.20479 100.34441 100.58330 100.19481 100.15987 100.43904 #>  [50933] 100.00000 100.06498  99.89494 100.47388  99.87993 100.28460  99.46356 #>  [50940]  99.71459  99.81984 100.20479  99.24717 100.60815 100.08496 100.13990 #>  [50947]  99.53894  99.93998 100.08496 100.15488  99.83486 100.22475  99.89995 #>  [50954] 100.04499 100.45895 100.31451 100.29955 100.14989 100.09495  99.97500 #>  [50961] 100.20479  99.81984 100.08496 100.22974 100.32946  99.69453 100.60815 #>  [50968]  99.70456  99.71459 100.09495 100.03000  99.98000  99.59418 100.40916 #>  [50975] 100.15488 100.12492  99.79980 100.30952 100.11493 100.24969  99.67447 #>  [50982]  99.96499 100.09495 100.22974 100.10494 100.16486 100.00500 100.36434 #>  [50989] 100.68764  99.92497 100.37928  99.92998  99.78477  99.82485  99.81483 #>  [50996]  99.95999  99.84989 100.32447  99.82485 100.12492  99.91997 100.16986 #>  [51003]  99.75971  99.44848  99.73966  99.46859  99.79980  99.99500 100.18982 #>  [51010]  99.74969  99.77976  99.84488 100.32447 100.47388  99.68450  99.63433 #>  [51017] 100.41912  99.69955  99.93498  99.87993 100.03999  99.46859  99.97500 #>  [51024]  99.89995  99.58414 100.18483 100.31949 100.28958 100.35935  99.77475 #>  [51031]  99.55401  99.75971  99.83987 100.07497  99.84989  99.88493 100.07997 #>  [51038]  99.55903 100.12492  99.77976  99.82986  99.78978 100.06998  99.97500 #>  [51045] 100.26465  99.87492 100.04499  99.65440  99.67447  99.83987 100.14989 #>  [51052] 100.86129 100.04499  99.34787  99.42334  99.94498 100.72735 100.07997 #>  [51059] 100.00000  99.89494  99.86491  99.73966 100.24470 100.01500  99.81984 #>  [51066]  99.57409  99.71459 100.06498 100.09495  99.35794  99.80481  99.72963 #>  [51073]  99.60924  99.90996 100.50871  99.74467  99.93498 100.39920 100.05498 #>  [51080] 100.08496  99.35291 100.14989 100.03000 100.03499 100.40916 100.30454 #>  [51087]  99.73966 100.72239 100.50871 100.38924 100.15987  99.98500 100.39920 #>  [51094]  99.88493  99.92497  99.72963 100.28958 100.07497  99.85990 100.69757 #>  [51101] 100.02500 100.39422  99.73465  99.90996  99.28243  99.92998  99.99000 #>  [51108]  99.86491 100.06998 100.02000 100.53358 100.10994  99.72963  99.80982 #>  [51115]  99.67447  99.79479  99.92998  99.72963  99.97500  99.94498  99.74467 #>  [51122] 100.11993  99.99500 100.37928 100.10494 100.10494  99.74467 100.00500 #>  [51129]  99.52889  99.97500  99.76472 100.16486 100.08496 100.05998  99.84488 #>  [51136] 100.07997 100.44899 100.02500 100.44401 100.11493 100.22974  99.85489 #>  [51143]  99.84989 100.20479 100.19980 100.35437  99.76973  99.69955 100.11493 #>  [51150] 100.25966 100.08496  99.96499  99.77475 100.39422 100.04499  99.37807 #>  [51157]  99.96499 100.61809 100.05998  99.90996  99.97000  99.80982 100.38924 #>  [51164] 100.35437 100.41414  99.94498 100.12992 100.15987 100.41414 100.06998 #>  [51171] 100.09995  99.77475 100.63797  99.55401 100.40916  99.54898 100.18483 #>  [51178] 100.18982 100.10994  99.77976 100.01000 100.44899 100.43904 100.30952 #>  [51185] 100.49378  99.44345  99.67949  99.89494 100.08996 100.32946 100.50373 #>  [51192]  99.97500  99.91496 100.25468  99.71459  99.84989  99.80481 100.51865 #>  [51199] 100.27462  99.98500  99.78477 100.56838  99.47864 100.06998 100.11993 #>  [51206] 100.02500  99.71961  99.58414 100.37430 100.35935 100.48881 100.57833 #>  [51213]  99.83486 100.08496 100.26465  99.72462 100.35437  99.94498 100.18982 #>  [51220]  99.96499 100.08496 100.00000 100.22974 100.54850 100.43904  99.98000 #>  [51227] 100.61809  99.53391 100.32447 100.10994 100.20978  99.58414 100.11993 #>  [51234]  99.39316 100.07497  99.62931  99.92998  99.68952  99.69955  99.47361 #>  [51241]  99.75971 100.20978  99.89995  99.85990 100.26964  99.74467  99.92998 #>  [51248]  99.98500 100.09995  99.89995  99.58414 100.22475 100.39422  99.63935 #>  [51255] 100.17485 100.17485  99.90996  99.75470  99.70456  99.88994  99.87993 #>  [51262]  99.78477  99.82485  99.56907  99.66444  99.88493  99.83987 100.23971 #>  [51269]  99.66945  99.75971 100.00000 100.11993  99.41328  99.75470 100.59821 #>  [51276] 100.22475 100.06998 100.00000  99.61928  99.60924  99.99000 100.38426 #>  [51283] 100.40916 100.03000  99.35794  99.86992 100.06498 100.01000  99.79980 #>  [51290]  99.70456  99.67447  99.79980  99.91997  99.44345 100.04499 100.27462 #>  [51297]  99.50377 100.01000  99.62931 100.10994 100.16986  99.82485  99.79479 #>  [51304] 100.26465  99.99000 100.21976  99.42334  99.73465  99.59920  99.63433 #>  [51311] 100.08996  99.64939 100.23472 100.03000  99.88994  99.96499  99.55401 #>  [51318] 100.12992  99.80982  99.59920  99.88994 100.38924 100.10494  99.94999 #>  [51325] 100.46392 100.20479 100.81667 100.22974  99.87993  99.36297 100.27961 #>  [51332] 100.19980 100.08496  99.97000  99.83486 100.01500 100.44899 100.14989 #>  [51339]  99.79479  99.68450 100.00000 100.29457  99.99500  99.94498 100.08996 #>  [51346] 100.04499  99.95499 100.01000 100.70253 100.07997 100.08496 100.43904 #>  [51353] 100.10994 100.20978 100.55844 100.23472 100.37430 100.19980  99.90495 #>  [51360] 100.03999 100.43406 100.45397  99.72963 100.32447 100.00500  99.98500 #>  [51367]  99.75470 100.27462 100.33942 100.10494  99.65440 100.13491  99.85489 #>  [51374] 100.45397 100.14989  99.30760  99.92998 100.52363 100.03999  99.82485 #>  [51381] 100.40418  99.65440 100.03999  99.76472 100.38426  99.75971  99.67949 #>  [51388]  99.85990 100.19481  99.67447  99.97500 100.02000 100.09495 100.05998 #>  [51395]  99.97500  99.79980 100.56341 100.40916  99.97500  99.94999  99.97000 #>  [51402] 100.60318  99.63935  99.84488  99.91496  99.64437  99.91496 100.57833 #>  [51409]  99.82986  99.97500  99.78477 100.29457 100.01500 100.09495  99.51382 #>  [51416] 100.21477  99.91997  99.85489 100.21477 100.13491  99.77976  99.62931 #>  [51423]  99.83486  99.54898 100.02500  99.94999  99.93998 100.07497 100.11493 #>  [51430] 100.30454  99.62931  99.81483 100.32447 100.01500 100.07997  99.88493 #>  [51437] 100.09995  99.92998  99.64437 100.16486 100.82162  99.98000  99.76472 #>  [51444] 100.10994  99.16148  99.47864 100.17984 100.30952 100.28460 100.27462 #>  [51451] 100.09995 100.04499  99.57911  99.47361  99.78477 100.02000 100.58827 #>  [51458]  99.62931  99.75971 100.14989  99.99000 100.16486  99.50377  99.67949 #>  [51465] 100.11993  99.95999 100.69757 100.03999  99.81483 100.05998 100.21477 #>  [51472]  99.81984 100.20978  99.40322  99.69955  99.56405 100.42410  99.98500 #>  [51479] 100.16986 100.01000 100.09995  99.74969  99.75470  99.95999  99.73966 #>  [51486]  99.92998  99.82485  99.32774 100.34441  99.73465  99.65440  99.89995 #>  [51493]  99.97500  99.42837 100.18483  99.71459 100.14490  99.82986 100.70750 #>  [51500]  99.10096  99.41831 100.29457  99.84488  99.94999  99.90495 100.06498 #>  [51507] 100.31949  99.95499 100.06498  99.68450 100.07997 100.20479  99.76973 #>  [51514] 100.30454  99.54396  99.53894 100.25966  99.95999  99.94999  99.51382 #>  [51521]  99.88994 100.09995  99.87993  99.92497 100.20479  99.78477  99.95499 #>  [51528]  99.86992  99.52387 100.21477 100.08496  99.99000  99.38310 100.03999 #>  [51535] 100.01000 100.07997 100.17485 100.39920  99.69453  99.91997 100.33942 #>  [51542] 100.64790  99.73966  99.73966  99.64437 100.01500  99.84989 100.30454 #>  [51549]  99.77475 100.07997 100.07997 100.22475  99.45853 100.31949 100.30952 #>  [51556] 100.05998 100.47885 100.54850  99.68952  99.71459  99.99000  99.61928 #>  [51563] 100.06998  99.92497 100.25966 100.45895  99.63935 100.15987 100.29955 #>  [51570]  99.74969  99.69453  99.49372 100.38924  99.41328 100.16486 100.33444 #>  [51577]  99.90996 100.29955 100.11993 100.30454 100.24470  99.77976  99.65440 #>  [51584] 100.12992 100.40916  99.50377  99.65942  99.56907  99.61928 100.29457 #>  [51591]  99.60924 100.17984  99.68952 100.08496 100.16986  99.90996 100.55347 #>  [51598] 100.22475 100.39920 100.03000 100.23971  99.99500  99.84488  99.74969 #>  [51605]  99.61426 100.03000  99.64939  99.83987  99.84989 100.06498  99.74467 #>  [51612]  99.98000  99.92998  99.86491  99.63935  99.61426 100.48383 100.09495 #>  [51619]  99.65942  99.99000  99.89494 100.03999  99.65440 100.10494 100.13491 #>  [51626]  99.42334  99.96499  99.83486  99.94498  99.95499 100.14989  99.85489 #>  [51633] 100.22475  99.92998 100.06498 100.22974 100.13491 100.23971  99.80481 #>  [51640]  99.34787 100.00500  99.55903 100.24969  99.79479 100.42908  99.96499 #>  [51647] 100.19481  99.88493  99.58916  99.67447 100.38924 100.18483  99.67949 #>  [51654] 100.12992 100.21976 100.01000  99.86491 100.39422 100.33942  99.84488 #>  [51661] 100.22475 100.22475 100.19980 100.52860 100.29955  99.73465  99.98000 #>  [51668]  99.87993 100.19481 100.02000 100.28460  99.67949 100.29955 100.11993 #>  [51675]  99.64939  99.79479 100.34441 100.44899 100.13990  99.61426  99.73966 #>  [51682]  99.45351  99.92998  99.80481  99.96499 100.30454  99.68450  99.73966 #>  [51689] 100.20978 100.47388  99.77475 100.20479 100.03999  99.66444  99.63433 #>  [51696]  99.88994 100.15488  99.94999  99.91997  99.96499  99.70456 100.29457 #>  [51703] 100.09995 100.22475  99.86491  99.72963  99.93998 100.11493  99.72963 #>  [51710]  99.82485  99.67949  99.48869 100.27961  99.84989 100.06998  99.83987 #>  [51717] 100.09495 100.59324  99.38813  99.91997 100.38924  99.78978  99.84488 #>  [51724] 100.02000  99.52387  99.98500 100.47885  99.35794 100.27961  99.79980 #>  [51731]  99.89494  99.70456 100.27961 100.16986 100.48881  99.32774 100.04999 #>  [51738]  99.82485  99.58414  99.98000 100.35935 100.18483  99.91496  99.90996 #>  [51745] 100.19980 100.39920 100.19481  99.74467 100.35437  99.52387 100.20978 #>  [51752]  99.89494  99.80982 100.14490  99.66444  99.85489  99.60422 100.13491 #>  [51759]  99.87492  99.98500 100.22475 100.15987  99.77475  99.83486 100.52363 #>  [51766]  99.47864 100.29955  99.55401 100.20479 100.23472 100.12492  99.94498 #>  [51773]  99.82986 100.23472 100.19481  99.84488  99.98500 100.06498  99.59920 #>  [51780] 100.35437  99.83486  99.98000 100.01000  99.75470 100.35437  99.84488 #>  [51787]  99.85489  99.65440 100.20479 100.02000 100.22475 100.02500  99.74467 #>  [51794]  99.80982  99.91997  99.95999  99.75971 100.32946 100.08996  99.88994 #>  [51801] 100.31451 100.79683 100.16486 100.20479 100.60318  99.68450 100.47885 #>  [51808]  99.78477 100.22974  99.40322  99.86491  99.73966  99.78978 100.36932 #>  [51815]  99.99500 100.17485  99.64939 100.22475  99.86992 100.56838 100.42410 #>  [51822] 100.30454  99.98500 100.19980  99.90495  99.95999  99.85489  99.81483 #>  [51829]  99.51382 100.28958  99.84989  99.72462  99.99000  99.85990 100.08996 #>  [51836]  99.89494  99.83987 100.74721  99.65440  99.23205 100.33942 100.29457 #>  [51843] 100.01500  99.80982  99.94999  99.69453 100.11493 100.08496  99.87993 #>  [51850]  99.95499  99.76973  99.98500  99.56907  99.97000 100.01000 100.11993 #>  [51857] 100.17485  99.55903  99.95999  99.24213  99.62931  99.80982 100.30952 #>  [51864] 100.39422 100.07497  99.68952 100.26964 100.24969  99.51884 100.11493 #>  [51871] 100.03999 100.35935 100.22974 100.11993 100.05998  99.71961 100.03000 #>  [51878] 100.07497 100.13990  99.99000  99.93998 100.07497  99.61426  99.74969 #>  [51885]  99.83987 100.53358  99.91997  99.86491  99.90996  99.74969 100.28460 #>  [51892]  99.82485 100.02000  99.94999 100.15488 100.30454 100.68764  99.67447 #>  [51899] 100.77202  99.97000  99.93498  99.64437  99.46356 100.45397  99.74969 #>  [51906] 100.33444  99.87993  99.58414 100.08996 100.16486 100.70253 100.19481 #>  [51913]  99.94498  99.84989 100.32946 100.08496 100.03499  99.87993  99.82485 #>  [51920] 100.23971  99.79479 100.26465  99.41831 100.28958 100.09995 100.04999 #>  [51927] 100.38426  99.84989  99.93498  99.92998  99.89995  99.98500 100.20479 #>  [51934] 100.31451 100.00000  99.67949 100.15987 100.12992  99.90996 100.22475 #>  [51941] 100.42908  99.49372  99.94999 100.15987  99.82986 100.35437 100.05998 #>  [51948]  99.81984  99.70958 100.00500  99.28746 100.76706 100.13990  99.76973 #>  [51955] 100.39422 100.34939 100.10994 100.10494 100.21976 100.27462 100.30952 #>  [51962]  99.55401  99.82485 100.43406 100.34939  99.83486  99.71459  99.97500 #>  [51969]  99.82986  99.68952 100.02000 100.04999 100.25966 100.06498 100.76706 #>  [51976]  99.63433  99.82485 100.13491 100.09495  99.47361  99.95499 100.30454 #>  [51983] 100.47885 100.23472 100.37928  99.83987 100.40418 100.00000  99.97000 #>  [51990]  99.77475  99.91496  99.69955 100.04499  99.54898  99.55401 100.35437 #>  [51997]  99.40825 100.03499  99.98500  99.93498  99.68450 100.50373  99.47864 #>  [52004] 100.44401  99.93998 100.17984 100.35935 100.28958 100.15987 100.13491 #>  [52011]  99.47864 100.03999  99.72462  99.57911 100.07997 100.03999 100.14989 #>  [52018]  99.69955 100.15987 100.15488 100.04999 100.10494 100.06498  99.99000 #>  [52025]  99.63433  99.69453  99.98500  99.86491 100.25966  99.87993 100.01000 #>  [52032]  99.89494 100.15488  99.89995 100.11493 100.06998  99.81984 100.05498 #>  [52039] 100.24969  99.72963 100.23971 100.00000 100.25966 100.29457  99.98500 #>  [52046] 100.42410  99.70958 100.23971  99.84989 100.10994  99.87492  99.57409 #>  [52053]  99.61426  99.77976  99.58916  99.95999 100.65287 100.36434 100.01000 #>  [52060] 100.25966 100.41414 100.05498  99.28243 100.20479  99.90996 100.05498 #>  [52067] 100.28958  99.78978  99.81984 100.35935  99.56405 100.02000 100.19481 #>  [52074]  99.84488  99.83486  99.89494 100.61809  99.88493 100.10494 100.47885 #>  [52081]  99.90996  99.64437 100.38426  99.83987  99.98000 100.34441 100.10494 #>  [52088]  99.82986  99.67447 100.14989  99.97500 100.09995 100.01000 100.23971 #>  [52095] 100.64293  99.87993  99.78477  99.59418  99.99000  99.71459 100.13491 #>  [52102] 100.11993  99.90495  99.78477  99.73966  99.99000 100.11493  99.81984 #>  [52109] 100.10494 100.00000  99.88493  99.72462  99.81984 100.00000 100.03999 #>  [52116] 100.24969 100.37430 100.02500 100.00000 100.59821  99.37303 100.29457 #>  [52123] 100.22475  99.62931  99.81984 100.47388  99.81984  99.81483  99.74467 #>  [52130]  99.93498 100.14989 100.28958 100.15987 100.28460 100.26465  99.74467 #>  [52137]  99.59418 100.21976 100.12492 100.02000 100.30454 100.02000 100.45397 #>  [52144] 100.28958 100.14490  99.48367 100.30952 100.11493 100.48383  99.64939 #>  [52151]  99.91997  99.64437  99.95499 100.50871 100.07997 100.15488  99.99000 #>  [52158] 100.04499 100.09495  99.70958  99.76472  99.71961  99.67949 100.38426 #>  [52165] 100.10494  99.67447 100.11493  99.93498 100.00500 100.46392 100.26964 #>  [52172]  99.95999  99.77976 100.16986 100.09995 100.52860 100.35437 100.04999 #>  [52179]  99.78477  99.68450 100.43406 100.19481  99.91997 100.23971  99.98500 #>  [52186] 100.35935  99.97000  99.78477  99.78978 100.00500 100.23971 100.28958 #>  [52193] 100.03000  99.85489 100.04499  99.71459  99.85489 100.38924  99.76472 #>  [52200]  99.80982 100.00500 100.37430  99.62429 100.53855 100.12992  99.65942 #>  [52207] 100.13491 100.14490 100.24969  99.98000 100.01500 100.20479 100.09495 #>  [52214] 100.33444 100.41912  99.83486  99.50879 100.56341 100.31949 100.00500 #>  [52221] 100.31949  99.87993  99.54396  99.83987 100.02500 100.15488  99.55903 #>  [52228] 100.08996 100.56341  99.83987 100.24969  99.66945  99.68952 100.15987 #>  [52235] 100.39920 100.06498  99.94999  99.46356 100.05998  99.59418 100.16986 #>  [52242]  99.72462 100.41912  99.47864  99.99000  99.74467  99.86491  99.99500 #>  [52249] 100.19980 100.10994  99.67949  99.80481 100.33444 100.05498 100.06998 #>  [52256] 100.06498 100.33444 100.30454  99.82485  99.91997  99.88493  99.78978 #>  [52263] 100.24969  99.77976  99.62429 100.15987  99.63935  99.97500  99.97500 #>  [52270] 100.47388 100.04999 100.48383  99.89494 100.17984 100.37430 100.08496 #>  [52277] 100.10994 100.22974 100.05498 100.22974  99.68952  99.93498  99.69955 #>  [52284]  99.99000  99.50377 100.17485  99.71459  99.90495  99.71459 100.25468 #>  [52291]  99.68952 100.15488 100.11493  99.77976 100.21976 100.18483 100.13990 #>  [52298] 100.27462 100.17485  99.85489  99.78477 100.12492 100.02500 100.25468 #>  [52305] 100.40418  99.96499  99.84989  99.75470  99.90495  99.95499  99.97000 #>  [52312]  99.80982  99.59920 100.30952  99.80481 100.32447  99.95999 100.54352 #>  [52319] 100.44899  99.95499  99.99000 100.52363  99.89494  99.85990 100.19980 #>  [52326] 100.32447  99.67949  99.70456 100.15488 100.06498 100.37928 100.53855 #>  [52333]  99.53894 100.03000  99.90996  99.58414 100.72239 100.03000 100.38426 #>  [52340]  99.72963 100.14989  99.94498  99.69453  99.74969 100.30454  99.66945 #>  [52347]  99.74467 100.13990  99.69955 100.03000 100.63300 100.07497 100.05998 #>  [52354] 100.15488  99.44345  99.59920 100.36434 100.64790 100.53358  99.35794 #>  [52361]  99.97000 100.13491  99.71961 100.23472  99.91496 100.11993  99.69453 #>  [52368] 100.35437  99.93998 100.58827 100.09995 100.33444 100.04499  99.84488 #>  [52375]  99.88994 100.22475 100.38924  99.47864 100.30454 100.13491 100.54352 #>  [52382]  99.69453  99.80481 100.42908  99.77976 100.01500 100.42410 100.61809 #>  [52389]  99.82485  99.37807  99.90495  99.76472 100.21976 100.12992 100.10994 #>  [52396]  99.87993 100.01500  99.46859 100.25966  99.28243 100.25966 100.41414 #>  [52403] 100.52860 100.26465  99.98500  99.88493 100.27961 100.27462  99.92998 #>  [52410] 100.13990 100.12492 100.21976  99.61426  99.96499  99.61426 100.01000 #>  [52417]  99.65440  99.97500  99.90495  99.87492  99.53391 100.08496  99.59920 #>  [52424] 100.10494 100.02500  99.47864  99.87993  99.83987 100.01000  99.42334 #>  [52431]  99.78477  99.65440  99.64939 100.16486  99.66945 100.63797 100.46890 #>  [52438]  99.86992  99.84488 100.16986  99.56907  99.79980 100.39920 100.15488 #>  [52445] 100.06498  99.48367 100.15488  99.95999 100.06998 100.22974 100.07997 #>  [52452]  99.77475  99.75470 100.02500  99.67447 100.10994  99.85990 100.18483 #>  [52459] 100.06498  99.76973 100.28460 100.17984  99.95499 100.06498  99.72963 #>  [52466] 100.57336 100.13990  99.82986 100.25468  99.73966 100.18483  99.96499 #>  [52473]  99.49372  99.70456  99.85990 100.42410 100.06498 100.10494  99.81984 #>  [52480]  99.94498  99.56405 100.42410 100.07997 100.24969 100.22974  99.77976 #>  [52487] 100.00000 100.03499  99.85489  99.89494  99.57911  99.88994 100.39920 #>  [52494]  99.70456  99.44345 100.56838  99.85489 100.14490 100.22475 100.23472 #>  [52501]  99.74969 100.17984 100.07997  99.75470 100.23971  99.81483  99.91496 #>  [52508] 100.05998  99.72462  99.62429  99.73465 100.90094 100.20479 100.08996 #>  [52515]  99.51884  99.94999 100.63797  99.75971  99.75971 100.05498  99.64939 #>  [52522] 100.02000  99.64939 100.10494  99.84488  99.90495  99.89995 100.40418 #>  [52529]  99.48367  99.83987  99.98500 100.74225 100.05498 100.27961  99.70456 #>  [52536]  99.83987 100.32447 100.20978  99.92998  99.57911  99.95999 100.00500 #>  [52543] 100.08996  99.75470 100.32447  99.69453  99.83987 100.01000  99.76973 #>  [52550] 100.28460  99.68952  99.91997  99.78477 100.25966  99.74467  99.80481 #>  [52557] 100.49378  99.84989 100.21976  99.90996  99.65440 100.45895  99.87492 #>  [52564]  99.82485 100.18982 100.47885 100.01500  99.92998 100.51865 100.06498 #>  [52571] 100.06998  99.72462  99.78978 100.25468  99.95999  99.94999 100.39920 #>  [52578]  99.84488 100.46890 100.32946 100.11493 100.02500  99.32271 100.23971 #>  [52585]  99.96499 100.47388 100.15987  99.53391  99.88493 100.12992 100.21976 #>  [52592] 100.08496 100.03499  99.95999  99.75470  99.33277 100.30952 100.04499 #>  [52599]  99.81984  99.55401 100.05498 100.22475 100.46392  99.97000  99.82986 #>  [52606]  99.58414 100.17485 100.34441  99.55401  99.77475  99.86491 100.15488 #>  [52613] 100.19481 100.10994 100.27961 100.10994 100.13491  99.69453 100.05998 #>  [52620] 100.06498 100.19980 100.13491 100.30454 100.56341 100.12992  99.63433 #>  [52627] 100.07497  99.63433  99.78477  99.91997 100.15987  99.94498  99.89995 #>  [52634]  99.72462  99.61426  99.80481 100.14989 100.13990  99.72462 100.03499 #>  [52641]  99.97500  99.51884 100.20479  99.86491 100.42410  99.76973 100.00000 #>  [52648] 100.57336 100.03999  99.84488 100.52363 100.30454  99.78477 100.17984 #>  [52655] 100.00500  99.96499 100.17485 100.11993 100.37928 100.13491 100.49876 #>  [52662] 100.10994 100.23472 100.16486  99.68952 100.22475 100.33444  99.68450 #>  [52669]  99.29753  99.68450 100.24470  99.95499 100.01000  99.92998  99.65942 #>  [52676]  99.77976 100.30952 100.03499 100.43406 100.08496  99.77475  99.87993 #>  [52683]  99.66945  99.80481  99.89995 100.65784  99.83987 100.44401 100.13990 #>  [52690] 100.02500 100.11493  99.66945  99.89494 100.67770 100.13990  99.92998 #>  [52697] 100.01000  99.42837  99.89494 100.71743 100.15488  99.51382  99.76973 #>  [52704]  99.85489  99.88994  99.94498  99.91997 100.27462 100.21477 100.41414 #>  [52711] 100.29955  99.55401 100.11993  99.78978 100.01500  99.69453 100.19980 #>  [52718]  99.71961 100.05498  99.73465  99.94498 100.01500 100.08996  99.90996 #>  [52725]  99.52387 100.24969 100.22475 100.08496 100.00500 100.03000 100.11493 #>  [52732]  99.29753  99.66945  99.68450  99.73966  99.97500  99.95499 100.34939 #>  [52739]  99.88493 100.50373 100.14989 100.10494  99.96499  99.82485 100.39920 #>  [52746]  99.70958  99.70958 100.14989 100.34441 100.22974 100.00000  99.91496 #>  [52753]  99.69955 100.06998 100.44899 100.30454 100.08496 100.20978 100.19481 #>  [52760]  99.63935 100.04999 100.24969  99.85489  99.74467 100.30952  99.49874 #>  [52767]  99.64437  99.56405  99.89494  99.78978  99.73465  99.80982 100.16986 #>  [52774] 100.27961 100.48881 100.06498 100.67770 100.12492 100.50871 100.16986 #>  [52781] 100.24470  99.82986  99.92497  99.91496  99.64939  99.71459 100.29955 #>  [52788]  99.89494 100.39920 100.02500  99.80481  99.50879  99.50879 100.19980 #>  [52795]  99.89494 100.27961  99.81483  99.97000 100.26964 100.08996 100.58827 #>  [52802]  99.83987 100.24969  99.62429 100.42908 100.02500 100.12992 100.01000 #>  [52809] 100.23472  99.74969  99.92497  99.94999  99.99500 100.08996 100.51368 #>  [52816] 100.08496  99.92497  99.59920 100.27462  99.46356 100.10994  99.88994 #>  [52823] 100.12992 100.18982  99.24717  99.54898 100.55844  99.76472 100.00500 #>  [52830] 100.13491  99.91997 100.10494  99.85990 100.15488 100.30952 100.06498 #>  [52837] 100.14989  99.64437 100.36434  99.99000 100.33942  99.66444 100.46890 #>  [52844]  99.74467  99.92497  99.89494 100.13990  99.60924  99.99000 100.40418 #>  [52851]  99.79479 100.23472  99.92497 100.19980  99.77475 100.07997  99.59418 #>  [52858] 100.13990  99.73966  99.61426  99.82986 100.28958  99.64437 100.06498 #>  [52865] 100.20978  99.83486 100.41414  99.93498  99.82986  99.80982 100.48383 #>  [52872]  99.92998  99.74467 100.58330 100.60318 100.40418 100.49876  99.46356 #>  [52879] 100.55347 100.07497 100.10494 100.18982  99.97500  99.72462  99.80481 #>  [52886]  99.81984 100.00000  99.68450 100.22475 100.12492  99.62931  99.72462 #>  [52893] 100.02500  99.69955  99.46356  99.94498 100.29457 100.00500  99.65942 #>  [52900] 100.15488 100.39920  99.51884 100.16486  99.83486 100.38426 100.03999 #>  [52907]  99.94999 100.37928 100.07497 100.16486  99.98000 100.21477 100.14490 #>  [52914] 100.62306 100.44401  99.67447  99.61426  99.70456  99.90495  99.79479 #>  [52921] 100.04499 100.25966  99.46859 100.05998  99.51382  99.79980  99.73465 #>  [52928] 100.13990  99.85990  99.98000  99.91997  99.72462 100.37928  99.83987 #>  [52935]  99.89494 100.36434  99.68952  99.94999  99.79980 100.12492 100.04499 #>  [52942] 100.06498 100.05498 100.07997  99.95999  99.99000  99.99000  99.79980 #>  [52949] 100.10994 100.71246  99.93498 100.31451  99.91496 100.73728  99.77475 #>  [52956] 100.16986  99.44848 100.33942  99.78978 100.18483  99.89995 100.17485 #>  [52963] 100.00500 100.39422  99.66444  99.83987 100.03999 100.01500  99.84989 #>  [52970]  99.60924 100.34939  99.90996 100.42410 100.09995 100.28958 100.02500 #>  [52977] 100.21477 100.49876 100.48881  99.83486  99.69453 100.16986  99.97500 #>  [52984] 100.18982  99.82485  99.88493 100.03000 100.20978 100.00000 100.09995 #>  [52991] 100.26465 100.42908 100.13491 100.25468  99.91997 100.29955 100.12992 #>  [52998]  99.97500  99.90996  99.54396  99.83486  99.71459  99.86491  99.92497 #>  [53005]  99.86491  99.40322  99.93498  99.62931  99.91496 100.29955 100.06498 #>  [53012]  99.99500 100.68764  99.74969  99.58414 100.26964  99.71459  99.75971 #>  [53019]  99.88994  99.55903  99.73966 100.02000  99.70958  99.67447 100.01000 #>  [53026]  99.80982 100.01000 100.01500 100.43406  99.61928 100.51368  99.36297 #>  [53033] 100.13491 100.66777 100.10994  99.99000 100.09495  99.92998 100.20479 #>  [53040] 100.45397 100.01000 100.17485 100.15488  99.82986 100.07497  99.86491 #>  [53047]  99.88493 100.20978 100.07497  99.50879  99.81984 100.23971  99.70456 #>  [53054] 100.14490  99.86992  99.86491  99.64437  99.89494  99.71459  99.85990 #>  [53061] 100.31451 100.13990 100.49876  99.67447  99.68450 100.02000 100.43406 #>  [53068]  99.94999  99.75971 100.20978 100.18483 100.08996  99.68450 100.11493 #>  [53075] 100.16486 100.42908  99.99000  99.91496 100.22475 100.28460 100.03000 #>  [53082]  99.87993 100.05998  99.91496  99.98000 100.61312  99.64437  99.36800 #>  [53089]  99.91496 100.30454  99.87492  99.47864 100.10994  99.83987  99.58916 #>  [53096]  99.67949 100.32946 100.07997  99.48367  99.43339  99.82485 100.19980 #>  [53103] 100.02000  99.65942  99.99500 100.09995 100.12992 100.02000  99.42837 #>  [53110]  99.68952  99.37807  99.99500 100.22475 100.24969 100.40916  99.85990 #>  [53117] 100.07497  99.72462  99.65942  99.70456 100.37928  99.53391 100.13491 #>  [53124]  99.60422 100.03000 100.41912  99.58916 100.18982 100.15987  99.81984 #>  [53131] 100.35935 100.13990  99.98500 100.17984  99.38310 100.25966  99.77976 #>  [53138]  99.56907  99.94498 100.34441 100.56838  99.88994 100.32946  99.69955 #>  [53145] 100.15488  99.61928  99.72963  99.91496 100.21976  99.69453 100.15987 #>  [53152] 100.15987  99.92497 100.04499  99.67949 100.05998  99.56405  99.97000 #>  [53159]  99.91997  99.88994  99.80982  99.44345  99.70958 100.24470 100.16486 #>  [53166]  99.63433 100.16986  99.78477 100.15987 100.53855 100.17485 100.08996 #>  [53173]  99.76973  99.86992 100.01500  99.85990 100.33444 100.35935  99.76472 #>  [53180]  99.82986  99.94498 100.43904  99.77976 100.57833 100.40418  99.56405 #>  [53187]  99.98500 100.25468 100.10494 100.12992 100.32447  99.69453  99.66444 #>  [53194]  99.90495 100.46392 100.24470  99.95999 100.57336 100.11493  99.71961 #>  [53201]  99.72462  99.65440  99.94498  99.62429  99.96499 100.24969 100.45397 #>  [53208]  99.93498 100.15987  99.72462  99.57911 100.15987  99.63433 100.43904 #>  [53215] 100.16986 100.29457 100.18982  99.93498 100.40916 100.00500  99.70456 #>  [53222] 100.21477  99.94999 100.18982 100.21477 100.34939 100.05998 100.36434 #>  [53229] 100.29955 100.28460 100.00500 100.09995  99.98500  99.77976 100.17485 #>  [53236]  99.60924 100.14490 100.13990 100.60318 100.14989 100.06498 100.15987 #>  [53243] 100.00000 100.23971 100.23971 100.10494  99.99500  99.95999 100.34441 #>  [53250] 100.07997  99.89494 100.26465  99.84488 100.07997  99.89995  99.82485 #>  [53257]  99.76973  99.47361  99.78978 100.30952  99.97000 100.25966  99.91997 #>  [53264]  99.48367 100.18483 100.16986  99.84488 100.55347  99.82485  99.79980 #>  [53271] 100.05998  99.48367 100.65784 100.18982 100.29457  99.80982 100.07997 #>  [53278]  99.70456  99.53894  99.80982 100.24470 100.02000 100.65784  99.79479 #>  [53285]  99.82986  99.90495  99.92998  99.97000 100.31949  99.68450 100.05998 #>  [53292] 100.06998 100.42410 100.38426  99.57409  99.84488  99.49874 100.17485 #>  [53299] 100.29955 100.49876 100.21976 100.39422  99.50377  99.87492  99.65440 #>  [53306] 100.02000 100.12992 100.15987 100.36932  99.69453 100.32946 100.13990 #>  [53313]  99.42837 100.25468  99.84488  99.35794 100.52363  99.78978 100.17984 #>  [53320]  99.78477  99.76973  99.74467 100.38426 100.17984 100.55347 100.08996 #>  [53327]  99.94999  99.81483 100.31949  99.60422 100.50871 100.05498 100.30454 #>  [53334] 100.21976 100.23472  99.49874 100.67274  99.75470  99.72462  99.70456 #>  [53341]  99.95999  99.72963 100.19980 100.15987  99.79479  99.84989 100.10994 #>  [53348]  99.86992  99.76973  99.86992 100.18982  99.58916  99.76973  99.48367 #>  [53355]  99.95499  99.49874 100.17485  99.67949 100.04499 100.43406  99.90996 #>  [53362] 100.41912  99.95499  99.70958  99.63433  99.71961 100.68764 100.09995 #>  [53369] 100.03000  99.81984 100.33942  99.86491 100.28958  99.90495  99.64437 #>  [53376] 100.03499 100.45397 100.22974 100.27961 100.41912  99.54396  99.71459 #>  [53383] 100.47388 100.23971  99.35291  99.80982  99.68450 100.65287  99.90996 #>  [53390]  99.74467  99.61928  99.64939 100.54352 100.10994 100.89103  99.97500 #>  [53397] 100.13491  99.69955  99.65942  99.76973  99.81984  99.93998  99.97500 #>  [53404] 100.19481 100.29955  99.72462  99.86491 100.49876  99.66945 100.39920 #>  [53411]  99.85990  99.75470 100.08496 100.12492  99.68450 100.42908 100.49378 #>  [53418] 100.00000 100.36932 100.29457 100.09495  99.78978 100.39920  99.59418 #>  [53425] 100.19481 100.12992  99.97000  99.96499  99.73966 100.19980  99.70958 #>  [53432] 100.09995  99.66444  99.73465  99.48869  99.82485  99.82986 100.09995 #>  [53439]  99.24717 100.22475 100.07497  99.93998 100.20479  99.94498 100.89599 #>  [53446] 100.32946 100.24470 100.20479  99.45351  99.95999  99.81483 100.18483 #>  [53453]  99.68952 100.04499 100.63797 100.17984  99.15140 100.16986  99.69955 #>  [53460]  99.82986  99.81984 100.36434  99.79479 100.19980  99.54396  99.68450 #>  [53467] 100.23472  99.52889 100.81171  99.96499 100.02000  99.49874  99.78978 #>  [53474]  99.77475  99.45853 100.21477 100.26964 100.53855 100.24969  99.89494 #>  [53481] 100.20479  99.99500  99.43842  99.88493 100.06498 100.14490  99.98000 #>  [53488] 100.01500 100.08496 100.20978 100.55347  99.77976 100.14490 100.31451 #>  [53495]  99.83486 100.17984 100.02000 100.18982 100.46890 100.46392 100.00000 #>  [53502] 100.15987  99.72462  99.99500 100.24969  99.70958  99.74467 100.15987 #>  [53509]  99.62931 100.03999 100.15987 100.29955 100.58827 100.15488  99.85990 #>  [53516] 100.13990 100.21976 100.08996  99.64939  99.49874 100.24470 100.18982 #>  [53523] 100.58330 100.13990 100.06498 100.02000 100.15488 100.27961  99.95999 #>  [53530]  99.73465  99.62931  99.91997  99.73966 100.22475 100.12992  99.85990 #>  [53537]  99.99000 100.42908 100.26465 100.20479 100.30952 100.43406 100.08496 #>  [53544] 100.11493  99.97500 100.18982 100.20978 100.17984  99.73966  99.89494 #>  [53551] 100.17984  99.86491 100.09495  99.83486  99.43842 100.40916  99.85489 #>  [53558] 100.13491 100.03499  99.90495  99.84989 100.50871 100.03000 100.24470 #>  [53565]  99.95999 100.18483  99.75470 100.08496 100.04999  99.71459  99.80481 #>  [53572] 100.44899 100.08996  99.64939 100.13491  99.92998 100.50373 100.00000 #>  [53579] 100.06498  99.53391 100.34939  99.49372 100.22974  99.51382  99.42334 #>  [53586] 100.34939 100.45895 100.06998  99.68450 100.09495  99.54396  99.81483 #>  [53593] 100.33942  99.95499  99.67447 100.20978 100.22974 100.14490 100.10994 #>  [53600]  99.66444 100.26465  99.47361  99.91997  99.86491 100.28958  99.72462 #>  [53607]  99.83987  99.68450  99.92497  99.85990  99.61928  99.91496  99.87993 #>  [53614] 100.02500 100.42410  99.76472  99.62931 100.26465 100.56341  99.52889 #>  [53621]  99.47361  99.77475  99.89995  99.61928  99.44848  99.93498  99.43842 #>  [53628]  99.83987  99.73465  99.76472  99.88994 100.51865  99.72963 100.06498 #>  [53635]  99.97000  99.28746 100.06498 100.33942 100.12492  99.98000 100.47885 #>  [53642]  99.81483 100.21477 100.18982  99.74467  99.74969 100.22974 100.13990 #>  [53649] 100.16986 100.14989  99.75971 100.05998  99.83987  99.77976 100.02000 #>  [53656]  99.89995 100.28460  99.62429  99.75971  99.66444 100.30952  99.56405 #>  [53663] 100.40916 100.35935  99.75470  99.43842 100.20479 100.46392 100.28460 #>  [53670] 100.10994  99.70958 100.35437 100.01500  99.82485 100.34939  99.94498 #>  [53677] 100.07997  99.80982 100.36932 100.24470  99.99500 100.18982  99.91997 #>  [53684]  99.99000 100.33444  99.97000 100.16486 100.29457 100.33942  99.92998 #>  [53691]  99.83987  99.83486  99.76973  99.85489 100.07997 100.29955  99.77976 #>  [53698] 100.53358 100.40418 100.25966  99.58916  99.77475  99.85990 100.09995 #>  [53705]  99.85990  99.77976 100.03999  99.79479  99.83486 100.35935 100.24470 #>  [53712] 100.00000 100.50373  99.77976 100.30952 100.31949 100.34939 100.09995 #>  [53719] 100.05998 100.45895  99.87492  99.58916  99.88493  99.70456  99.55903 #>  [53726]  99.88994  99.79479  99.58916 100.20479  99.95499  99.52889  99.84488 #>  [53733]  99.41831  99.76472  99.89494  99.92998 100.25966  99.39819 100.01500 #>  [53740]  99.74467 100.20479  99.74467 100.29457  99.95999  99.32271 100.27961 #>  [53747]  99.82485 100.42410  99.78477 100.35437  99.87993 100.33942 100.38924 #>  [53754] 100.32447  99.68952 100.51865 100.04999 100.30952 100.06498  99.97500 #>  [53761]  99.61928 100.32447 100.09995  99.73966  99.75971 100.09995  99.95999 #>  [53768] 100.09995  99.69955  99.75470  99.91496 100.52860  99.72963  99.87492 #>  [53775] 100.23472 100.24969 100.02000  99.87993 100.16986 100.17984  99.79479 #>  [53782] 100.02500 100.71246 100.04499  99.80982 100.12492 100.29955 100.36932 #>  [53789] 100.72239  99.56405 100.35935 100.06998  99.90495  99.84488 100.04499 #>  [53796] 100.10994 100.08996  99.95999  99.47361  99.81483 100.73728  99.97500 #>  [53803]  99.87993  99.98000  99.82986 100.05498 100.27462 100.09495 100.38426 #>  [53810]  99.75971 100.04999  99.92497 100.09495  99.78978 100.03999 100.40916 #>  [53817] 100.17984  99.86992  99.92998 100.09495  99.76472  99.91997 100.05498 #>  [53824]  99.85990  99.83987  99.86491 100.14490 100.03499 100.52363  99.65942 #>  [53831]  99.82485  99.76472  99.87492 100.32946 100.44401  99.97000 100.08496 #>  [53838]  99.92998 100.06498 100.27961 100.12992 100.17485  99.89995  99.75971 #>  [53845]  99.76472  99.69453  99.54898  99.97000 100.07997  99.64437  99.82485 #>  [53852]  99.87492 100.11993  99.84488  99.70456  99.99500 100.02500 100.02000 #>  [53859]  99.80982  99.54396  99.74467  99.94498  99.53391  99.92998 100.45895 #>  [53866]  99.95999  99.92998  99.87993 100.09995  99.60924 100.10994  99.82986 #>  [53873]  99.46356 100.55347 100.14989  99.58414 100.65287  99.65440 100.63300 #>  [53880] 100.19980  99.78978  99.64939 100.13491  99.93498  99.69453  99.94999 #>  [53887]  99.79980 100.66280  99.95999 100.11493  99.78978 100.08496  99.91997 #>  [53894] 100.57336  99.82986 100.33942  99.69955  99.98500 100.32447  99.93498 #>  [53901] 100.43406 100.30454  99.89995 100.24470 100.24470  99.79479  99.95999 #>  [53908] 100.08496 100.05998  99.59418  99.92998  99.79980 100.41414  99.62429 #>  [53915] 100.14989 100.51865  99.94498 100.34441  99.51884  99.89995  99.85990 #>  [53922]  99.82986  99.58916  99.63433  99.78978 100.41912  99.89494 100.29955 #>  [53929]  99.94498 100.14989 100.43406 100.26964 100.04999 100.15987 100.13491 #>  [53936] 100.24470 100.00500 100.58330 100.19980 100.12492 100.62306 100.00000 #>  [53943] 100.20479 100.19980 100.07997  99.97000  99.85990  99.87993 100.02000 #>  [53950] 100.04999 100.38924 100.10494 100.01500  99.90495  99.87993  99.90495 #>  [53957]  99.53391  99.64437 100.49876 100.34441  99.61426 100.33444 100.51865 #>  [53964]  99.80982  99.81984  99.93998  99.96499 100.21477 100.04999  99.73966 #>  [53971]  99.75971 100.03499 100.08996  99.83987 100.11993 100.12992  99.60924 #>  [53978] 100.20479 100.14490 100.25468 100.70253  99.60924  99.58916  99.75470 #>  [53985] 100.24470 100.40916 100.07997 100.48383  99.64437 100.59821  99.55903 #>  [53992] 100.15488  99.90495  99.66444 100.26465  99.57911 100.08496  99.77976 #>  [53999]  99.99500  99.68952  99.56405 100.82658 100.21976 100.32447 100.04999 #>  [54006]  99.64939 100.11493  99.97500 100.11993  99.96499  99.42334  99.77475 #>  [54013]  99.29250  99.74467  99.99000  99.40322  99.88493  99.97500 100.19481 #>  [54020]  99.47864 100.33942 100.31451  99.69955  99.67447 100.48383 100.44899 #>  [54027]  99.51382  99.86992  99.82986  99.72963 100.24969  99.70456 100.61312 #>  [54034] 100.32946 100.50373 100.39422  99.79479  99.97500  99.88994 100.33444 #>  [54041]  99.91496  99.71961  99.77475 100.41414  99.83987  99.71961 100.03999 #>  [54048] 100.15987 100.30952  99.39316  99.51382 100.25468  99.81984  99.95999 #>  [54055] 100.41414 100.09995  99.57409 100.23971  99.62931  99.95499 100.17485 #>  [54062] 100.23971  99.77976 100.17485  99.90495  99.50377 100.38426 100.03999 #>  [54069]  99.98500 100.50871  99.56907  99.79479  99.98000 100.04999 100.00000 #>  [54076] 100.18483  99.89494  99.87492  99.77976  99.70958 100.12992 100.07997 #>  [54083]  99.69955  99.49372 100.47388 100.38924  99.93498 100.21976 100.61809 #>  [54090] 100.09995  99.95999  99.72462 100.68764 100.18982  99.43842  99.97000 #>  [54097] 100.13491  99.97500 100.08996 100.03499 100.19980 100.40916  99.41328 #>  [54104]  99.69955  99.93498  99.99000  99.48367 100.16486 100.17984  99.79980 #>  [54111]  99.98000  99.57911 100.30952  99.88493 100.31949 100.03000 100.16986 #>  [54118]  99.59920  99.97000  99.55401 100.30454  99.91496 100.04999  99.81984 #>  [54125] 100.08496  99.82986 100.38924 100.28958  99.81984  99.48367 100.28460 #>  [54132] 100.40916 100.09995  99.81483 100.20479 100.24470 100.16486 100.32447 #>  [54139]  99.81483  99.91997 100.28958  99.45853 100.08996 100.35437  99.76973 #>  [54146]  99.80481 100.29955 100.13491 100.14490  99.73966  99.72963  99.88994 #>  [54153]  99.57911  99.71459 100.23971  99.80481 100.16486 100.29955 100.03499 #>  [54160] 100.02000  99.74969  99.70456  99.72462 100.53358  99.89995 100.10494 #>  [54167] 100.03999 100.12492  99.18669  99.84488  99.88493  99.65440 100.24969 #>  [54174]  99.68450  99.91496  99.80982  99.97000  99.76973 100.36932  99.54898 #>  [54181]  99.99000  99.77475  99.67447 100.01500 100.27961  99.97000  99.98000 #>  [54188]  99.50377 100.14490  99.78978  99.82485  99.40322 100.09495 100.26465 #>  [54195]  99.75470 100.47885 100.08496  99.56405 100.44899 100.21477 100.34441 #>  [54202] 100.22974  99.66945 100.04999  99.73465 100.43904  99.80982  99.75971 #>  [54209] 100.05498  99.98500 100.11993  99.89995  99.55401 100.10494  99.75470 #>  [54216]  99.80982 100.35935 100.27462  99.81984 100.36434 100.00500  99.96499 #>  [54223]  99.54898 100.29457  99.96499  99.82986  99.40825 100.26964  99.87492 #>  [54230] 100.28958 100.12492 100.31949  99.81984 100.03000  99.49874  99.42334 #>  [54237]  99.93498 100.27961  99.79980 100.13491 100.40418 100.22475  99.72462 #>  [54244]  99.82485 100.10994 100.52860 100.59324  99.68952 100.42410  99.55401 #>  [54251]  99.94999  99.61928 100.13491  99.97000 100.17984  99.73966 100.13990 #>  [54258] 100.64293 100.16486 100.27961 100.25468  99.77475  99.95999  99.98500 #>  [54265]  99.85489  99.72462 100.18483  99.64437  99.62429 100.14490  99.75971 #>  [54272] 100.04999  99.71459 100.05998 100.47885  99.85990  99.58916  99.68952 #>  [54279] 100.34441 100.69757  99.82986 100.16986  99.93498 100.09495  99.77475 #>  [54286]  99.76973  99.79980 100.00000 100.04499  99.47361  99.82485 100.12992 #>  [54293] 100.15987 100.18483  99.77475  99.81984  99.93998  99.55903 100.48881 #>  [54300] 100.25468 100.06498  99.45853 100.09995  99.63433  99.66444  99.84488 #>  [54307]  99.62931  99.95499  99.83486 100.08496 100.30952 100.24969  99.89494 #>  [54314] 100.05998  99.76472  99.87492  99.99500 100.12992 100.03499  99.69453 #>  [54321] 100.14490  99.90495  99.66444 100.22475  99.62429 100.16986  99.62931 #>  [54328] 100.29955 100.06998  99.77976  99.83987  99.94498 100.26465  99.72462 #>  [54335]  99.90996 100.02500  99.92497  99.35794  99.82485  99.72963 100.07997 #>  [54342] 100.34939  99.87993 100.20479 100.39920  99.98500 100.20479  99.40322 #>  [54349]  99.87993  99.78477 100.10494 100.19481  99.94999  99.62931  99.69453 #>  [54356] 100.41912 100.02000  99.73966  99.92998 100.38426 100.63797  99.90996 #>  [54363]  99.98000  99.75470 100.33942  99.57911 100.51368 100.57833 100.06998 #>  [54370] 100.50373  99.98000 100.09495 100.21976 100.60318 100.28460  99.91496 #>  [54377]  99.68952 100.03000 100.41414  99.66444 100.28460  99.95999 100.00500 #>  [54384]  99.38310 100.30454  99.88493 100.20479  99.93998 100.08996 100.26465 #>  [54391]  99.34787 100.18483  99.66945 100.19980 100.26964 100.22475 100.53855 #>  [54398] 100.01000 100.16486  99.81483  99.91496  99.95999  99.87993  99.36297 #>  [54405]  99.51884  99.75470 100.38426 100.15488 100.15488 100.10494  99.66444 #>  [54412] 100.39920  99.69453  99.70456  99.59418  99.99000 100.10994 100.23971 #>  [54419] 100.21976  99.90996 100.02000  99.52387  99.68952  99.75470 100.20479 #>  [54426] 100.00000  99.34284 100.06998 100.18483 100.38924 100.31451  99.78978 #>  [54433] 100.42410 100.30952 100.04499 100.03499 100.26465  99.91496 100.51865 #>  [54440]  99.46859  99.76472 100.33942  99.87993 100.05998 100.06998  99.70958 #>  [54447] 100.21976  99.98000  99.84989  99.94999  99.71459  99.91496 100.24969 #>  [54454] 100.39422  99.80481  99.78477  99.66945  99.96499  99.84488 100.06498 #>  [54461]  99.81483 100.38924 100.27961  99.53894 100.30952 100.12492 100.44401 #>  [54468]  99.46859  99.86992  99.80982  99.66444  99.75470  99.77475  99.76472 #>  [54475]  99.52387  99.90495 100.41414 100.31949  99.87993  99.54396  99.58414 #>  [54482]  99.94498  99.81483 100.25966  99.79479 100.17485  99.87993  99.95499 #>  [54489] 100.10494  99.97000  99.87993 100.11493  99.53894  99.61928 100.34939 #>  [54496] 100.04499 100.05498  99.64437  99.75971  99.83486  99.76472  99.59418 #>  [54503]  99.86992  99.41831 100.08496 100.70253 100.79186 100.68267 100.02000 #>  [54510]  99.54898 100.45397  99.80481  99.76472 100.23971  99.70456  99.66945 #>  [54517]  99.45853 100.39920  99.89995 100.01500 100.35935  99.67949 100.19980 #>  [54524] 100.06498 100.17984  99.94498 100.11993 100.02000 100.60318 100.16486 #>  [54531] 100.17984  99.97000  99.93998 100.17485 100.20978  99.60924  99.92998 #>  [54538]  99.92998 100.38426  99.94999 100.38426  99.61928  99.74467 100.03499 #>  [54545] 100.39920 100.54352  99.44848 100.45895 100.45397 100.34939 100.30952 #>  [54552]  99.72462  99.61928 100.00000 100.29457 100.42410  99.95999  99.59920 #>  [54559]  99.92998  99.83987 100.73232  99.60422  99.80982 100.39422 100.81667 #>  [54566]  99.66945 100.44899  99.87492 100.06498 100.23472  99.86491  99.96499 #>  [54573]  99.46356  99.86992  99.90996  99.47361  99.78477  99.51884 100.01500 #>  [54580] 100.41912  99.79980  99.95499  99.99000 100.40418  99.81483  99.87492 #>  [54587] 100.12492  99.93998  99.82986 100.09495 100.33444  99.63935 100.18483 #>  [54594] 100.19481 100.10494 100.53855  99.99000  99.96499 100.29457  99.77976 #>  [54601] 100.11993 100.01000 100.06998 100.42410 100.05498  99.63935 100.03499 #>  [54608]  99.76472 100.13491 100.10994 100.03999 100.27961 100.26465 100.55347 #>  [54615] 100.11493 100.32447 100.19481  99.65942 100.36434 100.17984  99.50377 #>  [54622]  99.98000  99.98000  99.97000 100.35437  99.55903  99.89494  99.59418 #>  [54629] 100.18483 100.37928 100.27462 100.18483 100.32447 100.14989  99.86491 #>  [54636]  99.52387  99.69955  99.67949  99.55401 100.53855 100.28460 100.21976 #>  [54643] 100.00500  99.82986 100.15488 100.13491 100.17485  99.52889 100.52860 #>  [54650] 100.24969 100.31451 100.21976 100.58330 100.40418  99.88994 100.05498 #>  [54657] 100.15488  99.91997 100.43904  99.84488  99.69955  99.68952 100.27961 #>  [54664]  99.95999 100.66280  99.78978 100.28460 100.11993  99.80982 100.29955 #>  [54671] 100.24470  99.75971  99.60422 100.12492  99.73465 100.19481 100.27961 #>  [54678] 100.26964 100.47885  99.93498  99.95999  99.81483 100.21477  99.55401 #>  [54685] 100.02500  99.83486 100.11493 100.01000  99.82485 100.03000 100.31949 #>  [54692]  99.66444 100.41414  99.76472  99.62429 100.29955 100.03999  99.89494 #>  [54699]  99.66945 100.02500 100.19481  99.59418 100.21976  99.63433  99.86992 #>  [54706]  99.99500 100.43406 100.48881  99.66945  99.95499 100.11993  99.86992 #>  [54713]  99.97500 100.16486  99.61928  99.92998  99.66444 100.13990  99.49372 #>  [54720] 100.04499  99.97500  99.82485 100.48383  99.95999 100.18982 100.09495 #>  [54727] 100.43406  99.96499 100.16486 100.38426 100.52363  99.54396 100.20978 #>  [54734] 100.04499 100.34939 100.22974 100.00000 100.11993  99.97000 100.36932 #>  [54741]  99.94498  99.50377 100.25966 100.19481 100.45397 100.02000 100.79186 #>  [54748]  99.93998  99.67949 100.07997 100.25468  99.53894 100.56341 100.11993 #>  [54755]  99.75470  99.90495 100.08496  99.62931 100.41912 100.27462 100.13491 #>  [54762]  99.80982  99.93498 100.18982  99.38813 100.31949 100.00500  99.64437 #>  [54769]  99.59920  99.41328 100.43406 100.49378 100.31949 100.00000 100.51865 #>  [54776] 100.06498 100.07497  99.97000 100.57336  99.83987  99.85990 100.05498 #>  [54783] 100.24470  99.88994 100.10494 100.26465  99.73966 100.04999  99.90996 #>  [54790]  99.60422  99.65440 100.09495 100.09495 100.01000 100.01500  99.84488 #>  [54797] 100.19481  99.83987  99.99500 100.48881  99.61928 100.08996  99.66945 #>  [54804] 100.03000 100.42410  99.72462 100.33942  99.75470  99.62429 100.00000 #>  [54811]  99.94999 100.31451  99.71961  99.68450  99.61928  99.97500 100.27961 #>  [54818]  99.70456  99.76973 100.73232  99.98000 100.01000  99.78978  99.92998 #>  [54825] 100.10494  99.84488 100.49378  99.98000 100.34939  99.78978  99.98000 #>  [54832]  99.67447  99.88493  99.82485 100.10994 100.21976 100.21477  99.78978 #>  [54839] 100.52860  99.87993 100.37928 100.38426 100.22974  99.91997  99.86992 #>  [54846] 100.43406  99.49372  99.86992 100.09995  99.37303 100.37430  99.64437 #>  [54853]  99.65942  99.80481 100.18982 100.07997 100.01500  99.95499 100.01000 #>  [54860] 100.11993  99.80481 100.34441 100.19980  99.98500  99.33781  99.99500 #>  [54867] 100.04499 100.00000  99.88493 100.12992  99.54396  99.90495  99.99500 #>  [54874] 100.09995 100.18483 100.00500 100.32946 100.37430 100.21477 100.24470 #>  [54881]  99.71459 100.05998  99.63935  99.83486 100.02500  99.67949 100.42908 #>  [54888] 100.32447 100.11993  99.83486  99.83486  99.81984 100.08996  99.67949 #>  [54895]  99.72462  99.88994 100.06998 100.29955  99.60422  99.90495  99.74969 #>  [54902] 100.17984 100.40916  99.68450 100.43406 100.09495 100.02500 100.32447 #>  [54909]  99.84989 100.08496 100.13491  99.78978  99.80982  99.74467  99.54396 #>  [54916] 100.72735 100.20479 100.16486  99.96499  99.57911  99.64939 100.03999 #>  [54923]  99.78477  99.63433 100.19980  99.52387  99.80982  99.93498  99.58414 #>  [54930] 100.47885  99.66444 100.16986 100.00500  99.63935 100.12492 100.18483 #>  [54937]  99.68952  99.94999 100.38924 100.16986 100.13990 100.45895 100.38426 #>  [54944] 100.18982 100.30952  99.98500 100.09995 100.12992  99.47361  99.96499 #>  [54951]  99.76472 100.53855 100.31451 100.22974  99.47361 100.03499 100.23472 #>  [54958]  99.41328 100.59324  99.92998 100.22974  99.72963 100.09995 100.02500 #>  [54965]  99.91997 100.05998 100.19481 100.03499  99.93998 100.07497 100.23971 #>  [54972]  99.86992  99.82986  99.80481  99.69453  99.62429  99.80982 100.47885 #>  [54979]  99.84989  99.44848  99.73465  99.42837  99.92497 100.21477  99.28746 #>  [54986]  99.74969 100.12992  99.80481  99.86491 100.08496  99.43842 100.33444 #>  [54993] 100.15987  99.93498  99.66945 100.10994 100.18982  99.73465 100.19481 #>  [55000] 100.06998  99.79980  99.95499  99.94498 100.00500  99.92998 100.41912 #>  [55007] 100.12492  99.93998  99.91496 100.12992 100.39422  99.87993 100.20978 #>  [55014]  99.71459  99.73465 100.01000  99.83987  99.50879  99.47361 100.41912 #>  [55021] 100.25966 100.17984 100.30454  99.94999 100.17485  99.57911 100.48881 #>  [55028]  99.69453  99.78477  99.49372 100.24470 100.10994 100.01500  99.60924 #>  [55035]  99.83486 100.34441 100.31451 100.48881  99.80982  99.68952 100.52363 #>  [55042] 100.62803 100.27462 100.46890 100.20479  99.98000  99.80982  99.88994 #>  [55049] 100.22974 100.29457 100.29955 100.21976 100.00500 100.16486  99.59418 #>  [55056]  99.58414 100.66280  99.94999 100.03000 100.08496 100.17485  99.59920 #>  [55063]  99.98000  99.38310 100.52363  99.63935  99.73465  99.60924  99.97000 #>  [55070] 100.22974  99.54898  99.68952 100.08996 100.41912  99.95499  99.90495 #>  [55077]  99.71961 100.29457  99.75470 100.35935  99.95999  99.64939  99.55401 #>  [55084]  99.81483 100.35935  99.95999 100.32946  99.97000  99.75971  99.87492 #>  [55091]  99.76973  99.92998 100.16986 100.20479  99.85990 100.24969 100.30454 #>  [55098] 100.27462 100.49876 100.27961  99.99000  99.94498 100.40418 100.23971 #>  [55105] 100.03999 100.68764 100.03000 100.29457  99.50377 100.02500 100.18483 #>  [55112] 100.16486  99.87993 100.31451 100.11993 100.35935  99.82986  99.10096 #>  [55119] 100.05498 100.26465 100.28958 100.20978 100.27961 100.03000 100.10994 #>  [55126]  99.99000  99.79980  99.58414 100.08496  99.74969  99.91997 100.70750 #>  [55133] 100.14490  99.61928  99.63433 100.55347  99.51884  99.56907 100.01500 #>  [55140]  99.48869 100.30454 100.13990  99.91997 100.01500 100.04499 100.18483 #>  [55147] 100.21976  99.50377 100.02500 100.28958  99.83987  99.71459 100.49378 #>  [55154] 100.03499 100.31949  99.97500  99.76472  99.59418  99.92497  99.32271 #>  [55161] 100.14989 100.30454  99.53894 100.32447  99.45351  99.77976  99.79980 #>  [55168] 100.06998 100.09995 100.11493  99.98500 100.46392 100.61312  99.79980 #>  [55175] 100.10994 100.17984 100.09995  99.66945  99.76973  99.94999 100.07997 #>  [55182] 100.02000  99.62429  99.70456 100.00500 100.13491  99.90996  99.55401 #>  [55189]  99.89995  99.95999  99.99000 100.49378  99.74467 100.49378 100.07997 #>  [55196] 100.40418  99.87492  99.97500 100.35935 100.22974  99.84488  99.26732 #>  [55203]  99.46859  99.81483  99.56405 100.27961 100.47388 100.24470 100.05998 #>  [55210] 100.26964  99.74467  99.51884  99.89494 100.23971 100.33942 100.04499 #>  [55217] 100.12492  99.41328 100.00500  99.94498 100.12492  99.88994  99.89995 #>  [55224]  99.94999  99.59418  99.97500  99.94498  99.87492  99.90495  99.68450 #>  [55231]  99.60924 100.17485 100.02500  99.69955  99.68952 100.54850 100.39422 #>  [55238] 100.07497  99.61928  99.93998 100.03000 100.29457  99.58414  99.85489 #>  [55245]  99.88493  99.39819 100.26465 100.12492  99.74467 100.23971  99.65942 #>  [55252] 100.25966 100.14490 100.15488 100.03999 100.08996 100.35935 100.23472 #>  [55259]  99.96499 100.52363 100.15488  99.66444  99.87492 100.15488  99.99000 #>  [55266]  99.88493  99.89995  99.98500  99.81483  99.64939  99.95999  99.92998 #>  [55273]  99.44345  99.73465 100.25468 100.31451  99.84989  99.77475 100.09995 #>  [55280] 100.24470 100.37928  99.95999  99.93998  99.94999  99.71961 100.25966 #>  [55287] 100.13491 100.39422 100.14490 100.33942 100.42908 100.15987 100.04499 #>  [55294] 100.12992  99.79980 100.32447 100.15488  99.99500  99.85990  99.90996 #>  [55301]  99.87993 100.16486  99.82986 100.29955  99.54396  99.99500 100.15987 #>  [55308] 100.03000 100.15488  99.78477  99.93998 100.01000 100.17485 100.38924 #>  [55315] 100.43904  99.95999 100.11993 100.56838 100.11993  99.86491 100.23472 #>  [55322]  99.40322 100.04499  99.54396 100.14490 100.24470  99.88493  99.76472 #>  [55329]  99.80982  99.40322 100.01000  99.88994 100.23472 100.28958 100.42410 #>  [55336] 100.23472 100.09495 100.35437  99.87492  99.79479  99.81984 100.08496 #>  [55343]  99.87993  99.57911  99.79980 100.22974 100.47388  99.80481  99.40825 #>  [55350]  99.45351  99.82485 100.37430 100.05498  99.84488 100.38924  99.77475 #>  [55357]  99.81483  99.97500  99.65440  99.82485  99.81483  99.61928 100.29955 #>  [55364] 100.53855  99.92497 100.22974 100.09995 100.24470  99.90996 100.18982 #>  [55371] 100.47885 100.31451 100.43406  99.82485  99.72462  99.79479 100.53855 #>  [55378]  99.58916 100.40916  99.70958 100.38924 100.16986 100.06498  99.74969 #>  [55385] 100.16986 100.49876  99.84488  99.73966 100.05998 100.00500 100.45397 #>  [55392] 100.50373 100.34939  99.36800  99.99500  99.60422 100.18982  99.39819 #>  [55399] 100.64293 100.02500 100.26964  99.91997 100.13491 100.17984  99.51884 #>  [55406] 100.25966 100.22475  99.81984 100.64293  99.69955  99.57911 100.42908 #>  [55413] 100.35437  99.80481  99.84989 100.29457 100.44401  99.30760 100.65784 #>  [55420]  99.90495  99.83486  99.77475 100.24969 100.16986 100.11493  99.81483 #>  [55427] 100.04999  99.61426  99.92497  99.37303  99.62931 100.73728 100.03000 #>  [55434]  99.95999 100.24969 100.33942 100.05998  99.40825 100.40916  99.62429 #>  [55441] 100.41912  99.99000 100.36434  99.59920 100.05998 100.16486  99.98000 #>  [55448] 100.23971  99.90996  99.79980  99.67447 100.33942  99.50879 100.13491 #>  [55455] 100.03999 100.14490 100.07997 100.12492 100.19980  99.71961  99.26228 #>  [55462] 100.08496 100.28958  99.49874  99.34787  99.87492 100.08996  99.68450 #>  [55469] 100.26465 100.48383  99.93998 100.04499 100.43406  99.76973 100.08996 #>  [55476]  99.60422  99.79479 100.36434  99.80982 100.41414 100.11493  99.56907 #>  [55483]  99.91997  99.91496 100.39920  99.97500  99.83486  99.79479 100.19980 #>  [55490]  99.76973  99.77475  99.54396 100.09495  99.73966  99.54396  99.93998 #>  [55497]  99.90996  99.86992 100.45397 100.21976 100.36932  99.86992 100.20978 #>  [55504]  99.46859  99.99000  99.85990  99.94999 100.05998 100.05998 100.47388 #>  [55511]  99.99500 100.14490 100.51368 100.37430 100.67770 100.16986  99.87492 #>  [55518]  99.88493 100.57833 100.22475 100.13990 100.01500 100.15987 100.21976 #>  [55525] 100.09495 100.48881  99.77475 100.13491 100.69260  99.94999  99.69955 #>  [55532] 100.29955  99.73966  99.93498  99.54898  99.75971 100.05498 100.04999 #>  [55539] 100.53358 100.46890 100.28958 100.03499 100.34939  99.81483 100.32447 #>  [55546]  99.44848 100.08996  99.72462  99.76973  99.86491  99.58414 100.30952 #>  [55553] 100.51368  99.69955  99.73465  99.81483 100.28958  99.52387  99.66945 #>  [55560] 100.32946 100.13491 100.06998  99.69955  99.87993 100.74721  99.79980 #>  [55567] 100.11993 100.08496 100.59821 100.23971  99.68450 100.24969 100.07997 #>  [55574]  99.83486 100.22475 100.25966 100.23971  99.60924  99.89494 100.20978 #>  [55581] 100.26465  99.87492  99.74969 100.10494  99.49372  99.72462  99.85990 #>  [55588]  99.60422 100.00500 100.15987  99.83486  99.96499 100.44899 100.16486 #>  [55595]  99.83486  99.37807 100.15987 100.95048  99.90996 100.00000 100.16486 #>  [55602]  99.55401 100.03499 100.31949 100.39422  99.48869 100.07997  99.37807 #>  [55609]  99.89494  99.72963 100.08996  99.72462 100.37430 100.10994 100.24470 #>  [55616]  99.55903 100.26465  99.83486  99.87993 100.23472  99.80481  99.49874 #>  [55623] 100.42410  99.99000  99.73465  99.81483  99.78978  99.74467  99.86491 #>  [55630]  99.79980  99.88493 100.13491 100.03499  99.63935  99.70958  99.63935 #>  [55637] 100.57336 100.21976 100.32447 100.24969 100.18483  99.82485 100.41912 #>  [55644] 100.21477 100.48383  99.74467 100.10494 100.03999 100.53358 100.40916 #>  [55651]  99.94999  99.91997  99.76973  99.76472 100.43406 100.41912 100.04499 #>  [55658] 100.35935  99.71459 100.37430 100.13990 100.01000  99.94498  99.87492 #>  [55665] 100.03000 100.13491  99.86491  99.63935 100.39920  99.95499 100.21477 #>  [55672] 100.04999 100.08496  99.81483 100.08996 100.03000 100.15488 100.01000 #>  [55679] 100.11993 100.62803  99.93498 100.59821 100.04499  99.36297 100.03499 #>  [55686]  99.82986 100.53358 100.45895 100.24470  99.82485 100.31451 100.34939 #>  [55693]  99.97000 100.28460 100.03499 100.25468 100.32946  99.88493 100.22974 #>  [55700]  99.82485 100.23971 100.41414  99.98500  99.75971 100.15488  99.57911 #>  [55707] 100.07497 100.04999  99.72462  99.94498  99.55903 100.17485 100.07497 #>  [55714]  99.81483  99.91496  99.70958 100.57833 100.13491  99.64437 100.21976 #>  [55721]  99.76472 100.14490 100.41912 100.29457  99.88994  99.74467 100.29457 #>  [55728] 100.03000  99.58414 100.32946 100.04999  99.94999 100.22974  99.83987 #>  [55735] 100.12992 100.24470 100.04499 100.39920  99.74969 100.52860 100.02500 #>  [55742]  99.84989 100.32447 100.16986 100.15987 100.15987 100.10494 100.15488 #>  [55749] 100.25468 100.16486 100.18982 100.08996 100.12992 100.22974 100.35935 #>  [55756] 100.19481 100.12492 100.73232 100.46392 100.05998 100.15488 100.28460 #>  [55763] 100.02500 100.29955 100.12992 100.69757  99.85990  99.89494  99.90495 #>  [55770]  99.67949 100.41912 100.17984  99.83486  99.63935  99.69453  99.75971 #>  [55777]  99.76472 100.36434 100.15488 100.45397  99.82986 100.39920 100.05998 #>  [55784]  99.72963 100.01500  99.80982  99.84488  99.97500 100.09495 100.59324 #>  [55791] 100.20978 100.31451 100.34441  99.65440 100.27462  99.78978 100.05498 #>  [55798]  99.85489  99.31767 100.06998  99.98500 100.38924  99.91496  99.95499 #>  [55805] 100.00000 100.29955 100.08496 100.20479 100.29955 100.07997  99.81984 #>  [55812] 100.02000  99.71459 100.06498  99.92998 100.06498  99.75470 100.39422 #>  [55819]  99.77475  99.93498 100.11493 100.21976 100.01500 100.11993  99.47361 #>  [55826]  99.88994  99.53894 100.03999 100.16986  99.84989 100.09995 100.11993 #>  [55833]  99.87993 100.23971 100.40916 100.53855  99.57409 100.05998 100.21477 #>  [55840] 100.30454  99.89995 100.01500  99.64939  99.53894  99.94999 100.19980 #>  [55847] 100.16986  99.94999 100.21976 100.07497  99.99000  99.71961 100.03499 #>  [55854]  99.50879  99.40825 100.18483  99.90495  99.76472 100.12492  99.85990 #>  [55861] 100.35437  99.77475 100.31451  99.49372 100.22475  99.71961  99.85990 #>  [55868] 100.18483 100.13990  99.90996  99.85489  99.54396  99.98000  99.90996 #>  [55875]  99.92497 100.00000  99.68450 100.06498  99.78477 100.19980 100.33444 #>  [55882] 100.16486  99.74467 100.03499  99.70456  99.86491 100.07997 100.16486 #>  [55889]  99.94999 100.35437 100.41912 100.16486 100.00500 100.52860 100.19481 #>  [55896]  99.64939  99.66444 100.36434  99.98500  99.99000 100.61809 100.61312 #>  [55903]  99.92497  99.62931 100.37430 100.03999  99.57409 100.15488 100.12492 #>  [55910] 100.01500 100.21477 100.48383 100.62306 100.18483 100.06498 100.13990 #>  [55917]  99.80982  99.79980 100.01000  99.46356  99.76973 100.09495 100.03999 #>  [55924] 100.18982  99.71459 100.15987  99.96499  99.73966 100.29457  99.75470 #>  [55931] 100.10494  99.89494 100.20978 100.54352 100.49876 100.38924  99.91496 #>  [55938] 100.16486  99.53894  99.98000 100.09995 100.12492  99.68952  99.80481 #>  [55945]  99.99500  99.95999  99.89494 100.14989 100.09495 100.09495 100.22974 #>  [55952]  99.92998 100.11993  99.95499  99.75470  99.88994  99.31767 100.47885 #>  [55959]  99.56907 100.43406 100.04999 100.22475 100.05498  99.98000 100.17984 #>  [55966]  99.94498  99.28746  99.96499  99.72963  99.68450 100.06498 100.09495 #>  [55973]  99.86491  99.92497 100.36434  99.97500  99.78477 100.10994 100.34441 #>  [55980]  99.71459  99.62429  99.66945 100.57336 100.62306 100.04999 100.25468 #>  [55987]  99.79980 100.37430  99.36297  99.68952 100.51368  99.67949 100.13990 #>  [55994] 100.03000 100.38924 100.08996  99.61928  99.83987  99.93498  99.97000 #>  [56001]  99.66444 100.41414 100.43406  99.76973 100.29457  99.78477 100.18982 #>  [56008] 100.09995 100.13491 100.47388  99.89995 100.36434  99.86491 100.26964 #>  [56015] 100.43904 100.25966 100.11993  99.89494  99.75470 100.29457 100.06498 #>  [56022]  99.65942  99.50377  99.93498 100.04999  99.84488  99.93998 100.19481 #>  [56029]  99.91997 100.39422  99.54898 100.16486 100.02500  99.89494  99.77976 #>  [56036] 100.25468 100.09495 100.39920 100.23472 100.00500 100.13491  99.96499 #>  [56043]  99.81483  99.76973  99.53391 100.12492  99.84488 100.15488  99.87993 #>  [56050] 100.26465  99.97000  99.73465 100.55844  99.47864 100.01500 100.38426 #>  [56057] 100.01000 100.04499  99.50377  99.86491  99.95999 100.18982 100.09495 #>  [56064]  99.72462 100.24470 100.46392  99.61426  99.44848  99.56907  99.88994 #>  [56071]  99.67447  99.52889 100.33444  99.58916 100.13491 100.66777  99.57409 #>  [56078] 100.37430 100.70253  99.81984  99.90996 100.10994  99.84488 100.13491 #>  [56085]  99.76472 100.26465 100.01500 100.31949 100.35935  99.90996 100.06998 #>  [56092] 100.04499  99.69453 100.27961  99.73966  99.79479 100.37430  99.90996 #>  [56099]  99.98000 100.31451 100.09495  99.72963  99.58916 100.43904  99.75971 #>  [56106]  99.78978  99.92998  99.73966 100.19980 100.58827 100.14490  99.41831 #>  [56113] 100.19980 100.26964 100.36932 100.11993 100.34939 100.34939  99.94999 #>  [56120] 100.16986  99.97000  99.79479 100.10494  99.72462 100.43904 100.24470 #>  [56127] 100.28460  99.65440 100.33942  99.91496 100.15488 100.63300  99.77475 #>  [56134]  99.66945  99.70958  99.53894 100.00500 100.03000  99.63935  99.80481 #>  [56141] 100.00000 100.05498 100.38426  99.88994 100.26465  99.89494  99.40322 #>  [56148] 100.43904  99.64939 100.05998  99.90996  99.75971  99.99000 100.24969 #>  [56155]  99.86491 100.02000 100.31451  99.61426  99.94498  99.83987 100.41414 #>  [56162] 100.16986 100.04999  99.83486 100.10994 100.42410  99.88994 100.03499 #>  [56169] 100.09495 100.09495  99.95999  99.73966  99.91496  99.98500  99.86491 #>  [56176]  99.99500  99.92998  99.37303 100.01000 100.25966  99.43339  99.69453 #>  [56183] 100.17984  99.82485  99.88493 100.21477 100.25468 100.42908 100.06498 #>  [56190] 100.08496 100.44899  99.97000 100.45895 100.31451  99.73966  99.78978 #>  [56197] 100.09995 100.15987 100.33444 100.03499 100.13990 100.35935 100.30952 #>  [56204] 100.09995  99.93998  99.52387 100.24470 100.54850  99.97500 100.60318 #>  [56211] 100.15488 100.25966  99.97500  99.66945  99.75470  99.57409 100.22974 #>  [56218] 100.50373 100.38924  99.83486  99.95999  99.61426  99.80982  99.98000 #>  [56225]  99.95999  99.79980  99.62429 100.11493  99.64437  99.81984  99.83486 #>  [56232] 100.32447  99.97000  99.80481 100.05498 100.18982  99.99000  99.97000 #>  [56239] 100.08496  99.97000 100.02000  99.95499  99.99500  99.26228  99.76973 #>  [56246] 100.37430 100.54352 100.17485 100.36932 100.02500 100.00500  99.11609 #>  [56253]  99.95499  99.50377 100.08496 100.13491 100.37430 100.27961  99.66945 #>  [56260]  99.85990  99.87993  99.90996  99.71961 100.10994 100.09495 100.24969 #>  [56267] 100.34441 100.55347  99.67949  99.88493  99.80481  99.78978  99.57409 #>  [56274]  99.54898  99.77475  99.76472  99.56907  99.52889  99.66945 100.37928 #>  [56281] 100.20479 100.15987  99.86491 100.21477 100.42410  99.69955 100.15987 #>  [56288]  99.58414 100.32447 100.21477 100.09495  99.80982 100.03999  99.88493 #>  [56295]  99.98000  99.95499  99.96499  99.79479  99.89995 100.18483 100.12992 #>  [56302] 100.13491  99.87492  99.92998  99.68952 100.15488  99.97000 100.14989 #>  [56309]  99.99000 100.07997  99.87492 100.40418 100.02000  99.84989 100.19481 #>  [56316] 100.43904 100.68267 100.56341 100.17984  99.68450  99.95499 100.07997 #>  [56323]  99.32774 100.25966 100.18982  99.43842  99.93998  99.60422 100.35437 #>  [56330] 100.20479  99.78477 100.21477  99.89494 100.01000 100.26465  99.82485 #>  [56337] 100.20479 100.00000 100.08996  99.99000  99.64437 100.16986 100.03000 #>  [56344]  99.59418  99.82485 100.15488 100.43904  99.64437  99.66945 100.15488 #>  [56351] 100.09495  99.95999  99.69453 100.45895  99.56907 100.32447 100.45397 #>  [56358]  99.73465 100.04999  99.78978  99.87993  99.88994  99.75470 100.14490 #>  [56365]  99.99000  99.88994  99.48869  99.75470 100.10494 100.57833  99.85489 #>  [56372] 100.13491 100.36932  99.91496  99.85489 100.15488  99.66444 100.10494 #>  [56379]  99.92497 100.49378 100.11493 100.07497 100.42410  99.99000  99.61928 #>  [56386] 100.11493  99.44345 100.04999  99.86992  99.86992 100.10494 100.36932 #>  [56393]  99.86491  99.94498 100.23971  99.91997 100.09495 100.41414 100.06998 #>  [56400]  99.80481  99.93998 100.26964  99.62429 100.57336 100.21477  99.70456 #>  [56407]  99.74969  99.94999  99.54898 100.06498  99.92998 100.53855  99.73465 #>  [56414]  99.64939 100.09495  99.83486 100.06498  99.80481  99.51382 100.02000 #>  [56421]  99.86992  99.96499 100.45895 100.13491  99.73465  99.73966 100.03499 #>  [56428] 100.34441  99.48367  99.98500  99.98000  99.65942 100.32946  99.98500 #>  [56435]  99.81984 100.62306 100.31949  99.69453 100.11493 100.16486  99.66945 #>  [56442]  99.99000  99.75971  99.63935  99.64437  99.44848  99.72963 100.24470 #>  [56449] 100.27961  99.82485  99.95499  99.78978  99.90996 100.31451 100.35935 #>  [56456]  99.55903  99.66444  99.89995 100.16486 100.36434 100.10994  99.65942 #>  [56463]  99.77976  99.97500 100.01500 100.11993 100.01000 100.25966  99.61928 #>  [56470] 100.50373 100.29457  99.78477  99.73465  99.84989 100.13491 100.00500 #>  [56477] 100.42410 100.62306 100.10994 100.43904 100.64293  99.57911  99.48869 #>  [56484]  99.84989 100.10494 100.28958 100.01500 100.00000  99.47361 100.08496 #>  [56491] 100.32946  99.85990  99.92998  99.83987 100.12492 100.35935 100.41414 #>  [56498] 100.40916 100.02500  99.90996 100.38426  99.93998 100.48881  99.41328 #>  [56505]  99.83486  99.97000 100.21976  99.33781  99.64939 100.07497  99.90996 #>  [56512] 100.52363 100.46890 100.27961 100.36434  99.73465 100.24969  99.62931 #>  [56519]  99.73465  99.78477 100.05498  99.34787  99.37303 100.00500 100.55844 #>  [56526] 100.35437 100.30454  99.37303  99.54396  99.94498 100.12492 100.12992 #>  [56533]  99.45351  99.64437  99.78477  99.43842  99.91997 100.32447 100.87121 #>  [56540]  99.97500 100.40916 100.20479 100.44899  99.50377 100.25966 100.29457 #>  [56547]  99.74467 100.30454 100.28460  99.75971  99.75971  99.65942  99.65440 #>  [56554]  99.86491 100.25468 100.33942  99.79479  99.67949 100.21976 100.35437 #>  [56561] 100.64293  99.68450  99.70958  99.83486 100.30952  99.66444  99.81483 #>  [56568]  99.61928 100.06498 100.05998 100.35437 100.15488  99.97500  99.94999 #>  [56575] 100.08496 100.35437  99.74467 100.59324  99.71961  99.92998 100.16986 #>  [56582] 100.04499  99.97500 100.47388  99.76472  99.83486  99.76472  99.47864 #>  [56589]  99.75971  99.83987 100.09495 100.01000 100.41414 100.25468 100.18982 #>  [56596] 100.01000 100.41912 100.66280  99.68450 100.16986 100.03499  99.68450 #>  [56603]  99.28746  99.88994  99.69955  99.64437 100.40916 100.63797 100.22475 #>  [56610] 100.08996  99.87993 100.28958  99.54898 100.19481 100.37928  99.80481 #>  [56617]  99.72963 100.35437 100.20479  99.62429  99.94498  99.97500 100.25966 #>  [56624] 100.05998 100.22475  99.90996 100.02000 100.10994 100.63300 100.24969 #>  [56631] 100.10994  99.90996 100.44899 100.37430 100.35437 100.23472  99.79479 #>  [56638]  99.80481  99.88493  99.92998  99.50879  99.89494  99.70958 100.27961 #>  [56645]  99.78978  99.95499 100.10494 100.25468 100.19980  99.71961 100.07497 #>  [56652]  99.85489 100.28460 100.31949  99.71459 100.24969 100.52860  99.70456 #>  [56659]  99.58414  99.88493 100.00000  99.85990  99.89995  99.82485  99.88493 #>  [56666]  99.82986 100.57336 100.20479  99.95499  99.80982 100.09495  99.63433 #>  [56673] 100.08996 100.28460  99.61928  99.91997 100.23971 100.03499 100.53358 #>  [56680]  99.95999 100.44401  99.70456  99.75971 100.28460  99.87993  99.49372 #>  [56687] 100.31451  99.62429 100.17984  99.98500  99.95999  99.92497  99.58414 #>  [56694]  99.80481 100.47388 100.05998 100.38924  99.78477 100.08996 100.10994 #>  [56701] 100.24969 100.08496 100.03499 100.29955  99.84488  99.81483  99.95499 #>  [56708]  99.87993  99.42334  99.86491  99.68450 100.64790 100.44899 100.07497 #>  [56715]  99.92998 100.06498 100.44401 100.38924  99.52387  99.49372  99.98500 #>  [56722]  99.93498 100.10994  99.65440 100.02000  99.97000  99.85990  99.44848 #>  [56729]  99.73465 100.00500  99.95499 100.30454  99.48869  99.49874 100.20978 #>  [56736] 100.24470  99.73966  99.90996 100.39422 100.00500 100.19481  99.74969 #>  [56743]  99.71459  99.74969 100.27961 100.26465 100.29955  99.83486  99.81984 #>  [56750]  99.31264 100.04999 100.05498  99.50879 100.38924 100.30952  99.60422 #>  [56757] 100.32447 100.05498 100.26964 100.36932 100.62306 100.38924 100.77698 #>  [56764]  99.72462  99.84488 100.07997 100.32447  99.67949 100.25966  99.97000 #>  [56771] 100.24969  99.38310 100.36434 100.20479  99.96499 100.36932  99.74467 #>  [56778] 100.65784 100.09995 100.39422  99.85990 100.34441  99.86992 100.42908 #>  [56785]  99.88493  99.97500  99.60924 100.31949 100.24470  99.92998 100.33942 #>  [56792] 100.09495  99.42334 100.21976  99.91997  99.92998 100.18982 100.63300 #>  [56799] 100.04999 100.20978 100.02000 100.38426 100.65784 100.45895 100.14490 #>  [56806]  99.88493  99.55903  99.92998  99.80481 100.29457  99.82986 100.03999 #>  [56813]  99.77976  99.61928 100.18982 100.25966 100.36434  99.87492 100.63797 #>  [56820]  99.88994 100.30454  99.55401  99.67447 100.35437 100.74721  99.63433 #>  [56827]  99.97500 100.40916 100.38426  99.84488 100.15488 100.07997  99.94999 #>  [56834]  99.84488  99.82485  99.89995 100.22475  99.37303  99.93498  99.85489 #>  [56841]  99.84488  99.83987 100.32946  99.92998  99.37303 100.50373  99.62931 #>  [56848]  99.64437 100.37430  99.71961  99.90996 100.18982  99.82485  99.51884 #>  [56855] 100.02500 100.04499 100.52860 100.11993  99.89494 100.32946 100.04999 #>  [56862]  99.57911  99.92497  99.98500 100.68764  99.94498  99.67949  99.23205 #>  [56869]  99.95999 100.12492  99.56907  99.86992 100.01000 100.53358 100.05498 #>  [56876]  99.64939  99.82485  99.38310 100.23971 100.02500 100.21477 100.17485 #>  [56883]  99.86491 100.44401 100.05498  99.84989  99.54396 100.10494  99.93998 #>  [56890] 100.38426  99.84488  99.90996  99.29753  99.79479 100.10994  99.76472 #>  [56897]  99.74467 100.07497  99.97000  99.93498 100.03999 100.28958 100.01000 #>  [56904] 100.00500  99.79980 100.21477 100.22974  99.95499 100.25468  99.46859 #>  [56911] 100.07497 100.01500 100.35935 100.05498  99.95999  99.79479 100.12492 #>  [56918]  99.55401  99.93998 100.34939 100.22974 100.18982  99.92497  99.62931 #>  [56925]  99.95499 100.15987 100.16486  99.64437 100.18483 100.03499  99.64939 #>  [56932]  99.52889 100.37928 100.34939  99.87993 100.25966 100.14490 100.07497 #>  [56939] 100.00500  99.93498  99.98000 100.00500 100.06998 100.07997 100.26964 #>  [56946]  99.85489 100.10494 100.03000 100.01500 100.48383 100.33942 100.26465 #>  [56953] 100.06498 100.17485 100.52860 100.15488  99.88994 100.42410 100.42908 #>  [56960]  99.97500 100.29955  99.36800 100.59324  99.63433  99.72462 100.10494 #>  [56967]  99.71961  99.91997 100.33942  99.59418  99.82485  99.72462  99.50879 #>  [56974] 100.04499  99.83486  99.65440  99.27739  99.86491  99.91997  99.72462 #>  [56981] 100.17485  99.92497  99.97500 100.13491 100.09495 100.08996  99.61928 #>  [56988] 100.17485 100.31451 100.13990  99.76472 100.47885 100.20978  99.97500 #>  [56995]  99.75470 100.33444 100.01000 100.20978 100.04999 100.03999 100.13491 #>  [57002]  99.86992 100.13990 100.03999 100.45397  99.87993  99.42837 100.28460 #>  [57009]  99.79980  99.87492  99.72462 100.45895 100.22475 100.51368  99.82485 #>  [57016] 100.03000  99.58414  99.76973  99.88994 100.59821  99.99000  99.62931 #>  [57023]  99.56405 100.13491 100.03999  99.64939  99.73465 100.02000 100.22475 #>  [57030]  99.76472 100.08996 100.21976  99.80982 100.00500 100.33942 100.07497 #>  [57037]  99.90495  99.87492  99.95999  99.82485  99.41831 100.18483 100.01000 #>  [57044]  99.53391  99.98500  99.73465 100.01000  99.71459 100.59821 100.49876 #>  [57051] 100.04499 100.06498  99.64939 100.21477 100.05998  99.73465 100.50871 #>  [57058]  99.97500  99.87993 100.20978 100.09995 100.29457  99.84989 100.58330 #>  [57065] 100.55844  99.94498  99.89995 100.36932 100.03000 100.03000  99.71961 #>  [57072] 100.00000 100.48383  99.88994 100.75217  99.98000 100.34441 100.53855 #>  [57079]  99.79980 100.48881 100.28958  99.77976  99.88994 100.01500  99.87492 #>  [57086] 100.02000 100.22475  99.99000 100.08496 100.18483 100.16486  99.43842 #>  [57093] 100.15987 100.38426 100.57336  99.80982 100.16486  99.71961 100.54352 #>  [57100] 100.43904 100.36932  99.98000 100.41912 100.34939 100.03499  99.81984 #>  [57107] 100.06998  99.55903 100.31451 100.50871 100.13990  99.54898  99.71459 #>  [57114] 100.37430 100.35437  99.70958 100.03499 100.09495 100.41912 100.12492 #>  [57121] 100.29955 100.57833 100.39422  99.49874 100.38924 100.12492  99.58414 #>  [57128] 100.29457 100.23472 100.06498  99.76472 100.03499  99.94999 100.31949 #>  [57135] 100.07997  99.94498 100.02000  99.75971  99.63935 100.40916  99.84488 #>  [57142]  99.79479  99.51884  99.91997 100.07497  99.60422  99.62429  99.83486 #>  [57149]  99.69955 100.33444 100.23971  99.68450  99.58414  99.77976 100.47885 #>  [57156] 100.38924  99.75971 100.31949  99.94999  99.93498  99.56907 100.32946 #>  [57163]  99.78477  99.99500  99.78978 100.02000  99.64437 100.10994  99.84488 #>  [57170] 100.26964 100.46392  99.73966 100.17485 100.53855 100.41912 100.10994 #>  [57177]  99.93998 100.32447  99.85489 100.21477  99.65942  99.91997 100.39920 #>  [57184] 100.10494  99.82986 100.08496  99.65440  99.53391  99.97000 100.03999 #>  [57191]  99.59920 100.27462 100.23971 100.20479  99.56405 100.43904 100.06998 #>  [57198]  99.67447 100.17485  99.39316  99.63433  99.72462 100.02000  99.98000 #>  [57205] 100.09495  99.49372  99.84488 100.55347 100.58330  99.97000 100.01000 #>  [57212] 100.54352  99.96499  99.58916 100.02000  99.87492 100.34939 100.03999 #>  [57219]  99.37807 100.64790 100.15488 100.26964  99.76472 100.47388 100.39422 #>  [57226]  99.78477  99.60924  99.48367 100.13990 100.09495  99.79980  99.84488 #>  [57233] 100.53358 100.03000 100.23971  99.89995  99.79479 100.05498  99.74467 #>  [57240]  99.67447  99.94498 100.09495  99.75971  99.81483  99.46356  99.86992 #>  [57247]  99.95999 100.04499 100.08996 100.14490 100.22974  99.95499 100.32447 #>  [57254]  99.98500 100.33444 100.03499 100.29955 100.03499  99.43842 100.18483 #>  [57261] 100.30454  99.80982 100.14989 100.03000 100.15987  99.76472  99.85990 #>  [57268]  99.78477  99.61928 100.30952  99.72462 100.27961 100.10494  99.97500 #>  [57275] 100.63797  99.96499  99.93998  99.98000  99.91496 100.04499  99.78477 #>  [57282] 100.37928  99.71459 100.04499 100.14490  99.90996 100.10494  99.73966 #>  [57289] 100.02500  99.74467 100.22974 100.12492  99.62429 100.23971 100.13491 #>  [57296] 100.34441 100.48881 100.14989  99.95499  99.72462 100.07997  99.55401 #>  [57303]  99.94999  99.40825 100.15987 100.25468 100.08996 100.21477  99.72963 #>  [57310] 100.32447 100.20479 100.21477 100.12992  99.99000 100.03999 100.07497 #>  [57317]  99.87492 100.25966 100.31451 100.10494 100.05998  99.63935 100.12492 #>  [57324] 100.00500 100.06998 100.27462 100.04999  99.84989 100.10994  99.53894 #>  [57331]  99.63935 100.14989 100.76706 100.18483  99.88994  99.54898 100.13491 #>  [57338]  99.83987  99.46356 100.22475  99.96499  99.73465  99.94999 100.38426 #>  [57345]  99.99000 100.21477 100.07497 100.25468 100.27961 100.22475 100.17984 #>  [57352] 100.22974 100.20479 100.27961 100.50871  99.71459 100.47885 100.28460 #>  [57359]  99.97500 100.24470  99.85990  99.83486 100.17485  99.75470 100.04999 #>  [57366] 100.16486 100.20479  99.76472  99.93998 100.45397 100.07497 100.05498 #>  [57373] 100.44899  99.64939  99.91997  99.98500  99.82986  99.95999  99.86491 #>  [57380] 100.10994  99.44848  99.59418  99.56907  99.81984 100.35437  99.45853 #>  [57387] 100.13491 100.31451 100.04999 100.38924 100.33942  99.83987  99.82986 #>  [57394] 100.21477 100.12492 100.35437  99.95499  99.54898  99.42334  99.70958 #>  [57401]  99.66945 100.35935  99.98500  99.70456  99.56405 100.20978  99.53894 #>  [57408]  99.56405 100.30454  99.80481 100.23472  99.89995 100.04999 100.45895 #>  [57415] 100.60815  99.80481 100.54850  99.69453 100.28958 100.28460 100.43904 #>  [57422]  99.92497 100.06498  99.79980  99.70456 100.33444  99.68952 100.17984 #>  [57429] 100.45895 100.51368  99.80982 100.36434  99.87492 100.01000 100.16986 #>  [57436] 100.35935 100.15488  99.73966 100.02500 100.29955  99.47864 100.07497 #>  [57443] 100.08496 100.09495 100.34939 100.07997  99.66444 100.40418  99.79479 #>  [57450]  99.97000 100.30952 100.01000 100.47885 100.09995  99.92998  99.69955 #>  [57457] 100.38924 100.24470 100.02000  99.48367 100.10994  99.92497 100.60318 #>  [57464]  99.66945  99.81984 100.30952 100.36434 100.24969 100.13990 100.01000 #>  [57471]  99.82485  99.84488 100.17485  99.89995 100.31451  99.59418 100.05998 #>  [57478] 100.22974  99.57911  99.81483  99.92497  99.99000  99.83486  99.77976 #>  [57485] 100.06998  99.64437 100.16486  99.65942 100.33942 100.28958  99.68952 #>  [57492] 100.37430  99.60924  99.93498 100.34939  99.86992 100.60318  99.95499 #>  [57499] 100.04499 100.04499 100.01500  99.68450 100.15488 100.25966  99.74467 #>  [57506] 100.53855  99.98000 100.22475  99.74467  99.75971  99.81483 100.10494 #>  [57513]  99.91496 100.27462 100.33942 100.16486 100.14490  99.99500  99.75470 #>  [57520]  99.70456 100.13990 100.09995  99.79479 100.03000  99.92497 100.58330 #>  [57527] 100.05998 100.41912  99.45853  99.46859 100.05498  99.88493 100.23472 #>  [57534] 100.56341 100.18982  99.48367 100.21976  99.87492 100.03000 100.30952 #>  [57541]  99.82986  99.62429  99.97000  99.67949  99.30760 100.09495 100.19980 #>  [57548]  99.70958  99.36297 100.23472 100.07997  99.61426  99.45351 100.20479 #>  [57555]  99.84488  99.62429 100.05498 100.14989  99.87993  99.26732 100.27462 #>  [57562]  99.93998 100.23472  99.58414 100.33942 100.27961  99.82485  99.79980 #>  [57569]  99.44345 100.04999 100.41414  99.82986 100.17984  99.46859  99.63935 #>  [57576] 100.22475  99.63433 100.10494  99.66945 100.18483  99.99000  99.75971 #>  [57583] 100.05998  99.88994 100.25966 100.01500 100.38924 100.09995  99.68450 #>  [57590]  99.86491  99.55903 100.19481 100.37430  99.69955 100.29955  99.80481 #>  [57597]  99.95999 100.24470  99.32271  99.86491 100.10494 100.30952 100.22475 #>  [57604] 100.14490  99.72462  99.71961  99.61928 100.26964 100.02500 100.60318 #>  [57611]  99.75971  99.67447  99.84989  99.62931  99.48869  99.99500 100.38924 #>  [57618]  99.99000 100.05498  99.73966  99.94498 100.43406 100.03999 100.50373 #>  [57625]  99.76973 100.21976  99.86992 100.38426  99.94498  99.83486 100.74225 #>  [57632]  99.80481  99.82986 100.29457  99.75971 100.08496  99.78978 100.39920 #>  [57639]  99.84989 100.13990  99.59418  99.75971  99.22197 100.29955  99.62931 #>  [57646]  99.86491  99.97000  99.98000  99.76472 100.14490  99.83486 100.21976 #>  [57653]  99.91997  99.82485  99.92998  99.92497  99.90495 100.43904 100.03000 #>  [57660]  99.77976 100.39422 100.44401  99.74467 100.14989  99.72963 100.03499 #>  [57667]  99.82485  99.84488  99.66945 100.02500 100.04499  99.85489  99.26732 #>  [57674]  99.84989  99.39316 100.00500  99.36297 100.04999  99.81984 100.13990 #>  [57681] 100.74225  99.74969 100.09495 100.06998  99.58414  99.40322 100.01000 #>  [57688] 100.09995  99.99500 100.20479 100.05998  99.95499 100.57336 100.22475 #>  [57695]  99.92998  99.87492  99.95999  99.59418 100.34939 100.25966 100.43904 #>  [57702]  99.73966  99.96499  99.93998  99.94498  99.74969 100.28958  99.72963 #>  [57709]  99.51884 100.16486 100.07497  99.89995 100.18483  99.53894 100.03000 #>  [57716] 100.05998 100.09995 100.23472 100.16986 100.51368 100.19481  99.54396 #>  [57723]  99.78978 100.33444 100.39422  99.75470  99.88994 100.13491 100.10494 #>  [57730] 100.40418  99.62931  99.75470  99.56907  99.89494  99.61426  99.89995 #>  [57737] 100.27961 100.03499 100.29955  99.64939  99.94999  99.98000 100.22974 #>  [57744] 100.29457 100.31451 100.58330  99.99000 100.03999  99.94999 100.08996 #>  [57751] 100.34441  99.49372  99.83987 100.40418 100.39422  99.93998  99.49372 #>  [57758] 100.60318  99.66945 100.36434  99.62429 100.01500  99.76472 100.01500 #>  [57765]  99.70958 100.74721 100.08996  99.84989 100.27961  99.84488 100.02000 #>  [57772] 100.14989 100.08496  99.86491  99.66945  99.87492  99.88493 100.21477 #>  [57779]  99.83486  99.85489 100.07997 100.10494 100.06998 100.11493 100.11993 #>  [57786]  99.97500 100.21976  99.64939  99.87492  99.92497  99.39316 100.14989 #>  [57793] 100.64790  99.70958 100.42908  99.76973  99.71961  99.27235  99.92497 #>  [57800] 100.62803  99.80982  99.93498  99.86992 100.71743 100.06998  99.41831 #>  [57807] 100.33942 100.24969 100.10494 100.33942 100.09995  99.57911  99.95499 #>  [57814]  99.93498  99.70958  99.93998  99.55903  99.72462  99.52387  99.89995 #>  [57821] 100.06998  99.82986  99.79479  99.77475 100.06498  99.86992 100.63797 #>  [57828]  99.63433 100.22475  99.77475 100.24470 100.46392 100.66777 100.02500 #>  [57835]  99.91496 100.40418 100.25966  99.81984 100.03000 100.14490  99.45853 #>  [57842] 100.07497 100.30952 100.18982  99.88493  99.75971  99.88493  99.93998 #>  [57849] 100.45895  99.63935  99.59920  99.89494 100.05498  99.81984 100.24969 #>  [57856]  99.90996 100.22475  99.49874  99.50377 100.26465  99.99000  99.97000 #>  [57863] 100.01000 100.54352 100.34441 100.45895 100.16486 100.30454 100.03499 #>  [57870]  99.67447 100.32447  99.66945 100.55347  99.86491  99.51382  99.74467 #>  [57877]  99.97500  99.67447  99.88994  99.92998 100.47388  99.50879  99.95499 #>  [57884] 100.04999 100.40418 100.11493  99.60422  99.97000  99.99000  99.93998 #>  [57891] 100.22974  99.42837 100.53855  99.64437 100.14989  99.84488 100.16986 #>  [57898] 100.05498  99.53894  99.84989 100.02500  99.91496  99.48869 100.19481 #>  [57905]  99.72462  99.95999 100.54352  99.95999  99.83486  99.87492 100.17485 #>  [57912] 100.04999 100.06498  99.49874  99.85489  99.70456  99.84989 100.15488 #>  [57919] 100.03000  99.82986 100.59324 100.14490  99.80982 100.04999  99.79479 #>  [57926]  99.93498 100.63797 100.39920 100.01500  99.79980  99.97500 100.28958 #>  [57933]  99.78477  99.85489  99.65942 100.31451 100.26465  99.76973  99.97500 #>  [57940]  99.92998  99.65942 100.44899  99.79980  99.96499 100.07997 100.14490 #>  [57947]  99.71459 100.34939  99.97500  99.64437 100.33444  99.98000 100.45397 #>  [57954] 100.43904  99.88994 100.33444  99.71459  99.41831  99.79980  99.98000 #>  [57961] 100.23472 100.00500 100.11993 100.30454  99.71459 100.19481 100.14989 #>  [57968]  99.65942 100.28958  99.72462  99.82986 100.11993  99.70958  99.61928 #>  [57975]  99.60924 100.12992  99.58414 100.45397  99.88994 100.02500  99.61426 #>  [57982]  99.86992  99.80481  99.72963  99.66444 100.45397  99.66444 100.10494 #>  [57989]  99.61928 100.11993  99.48367  99.62931 100.10994 100.08996  99.96499 #>  [57996] 100.20978  99.82485  99.90996  99.77976  99.75971 100.53855  99.81984 #>  [58003]  99.79980 100.01500  99.54396 100.11493  99.52387  99.87993 100.03000 #>  [58010]  99.69955 100.10994  99.93498  99.76973 100.48881 100.23971  99.72963 #>  [58017] 100.19980 100.17485 100.07497 100.40916 100.07497 100.12992 100.24470 #>  [58024] 100.17984 100.22475 100.21976 100.22475  99.91496 100.28958  99.73465 #>  [58031]  99.88493 100.28460 100.49876 100.52860 100.06498  99.81483 100.61809 #>  [58038] 100.01000  99.70958 100.17984 100.04499 100.30952 100.07997  99.64939 #>  [58045]  99.52387 100.44401  99.66444  99.91997  99.57409  99.92497  99.89995 #>  [58052]  99.65942 100.12492 100.34939 100.52363  99.46356 100.03999  99.42334 #>  [58059]  99.69955 100.43406 100.03000 100.00500  99.80982  99.61426 100.09995 #>  [58066] 100.11993 100.14989  99.62931  99.76973  99.92497 100.16486 100.03000 #>  [58073] 100.24969  99.50377 100.34441 100.15488 100.31949  99.87993 100.25468 #>  [58080] 100.15987 100.21976 100.12992 100.62803  99.99500  99.59418 100.04499 #>  [58087] 100.07997  99.95499  99.57911 100.32946  99.90996  99.77976  99.56405 #>  [58094] 100.34441  99.58916 100.04499 100.65784  99.87993 100.16986 100.26964 #>  [58101] 100.69757  99.92497 100.06998 100.01500 100.08496 100.39920 100.45397 #>  [58108] 100.46392  99.98500 100.13491 100.31451 100.23971  99.68952 100.32447 #>  [58115]  99.72462  99.77475  99.91496  99.97000  99.77475 100.34939 100.14490 #>  [58122] 100.31451 100.18982 100.53358 100.11493  99.57409  99.98500 100.08996 #>  [58129]  99.50879 100.16986 100.11493  99.77976  99.68450 100.12492  99.79479 #>  [58136]  99.91997  99.70456 100.09995 100.10494  99.78978 100.09995 100.44401 #>  [58143]  99.44345  99.87492  99.88994  99.69453  99.74969 100.20479  99.99000 #>  [58150]  99.91496  99.49874 100.01000  99.66945 100.00000  99.62931 100.14989 #>  [58157]  99.73465 100.08496  99.82986  99.84989  99.93998 100.04999 100.50373 #>  [58164]  99.91997 100.10494  99.71961  99.75470 100.28460 100.00500  99.57911 #>  [58171]  99.82986 100.46392 100.36932 100.24470 100.56341 100.59324  99.68450 #>  [58178]  99.98000  99.70958  99.93998 100.32447 100.12992  99.86992  99.83987 #>  [58185] 100.13990 100.12492 100.00500  99.90996 100.10994 100.09995  99.71961 #>  [58192] 100.30454 100.38924  99.98500  99.81483 100.26964  99.91997 100.20978 #>  [58199]  99.99500  99.98000  99.74467  99.71459 100.10494  99.89995 100.06998 #>  [58206]  99.96499  99.61426  99.95999  99.81483 100.28958  99.92497 100.35935 #>  [58213]  99.86992 100.03000  99.70958 100.46392  99.86992 100.32946 100.21477 #>  [58220] 100.06498 100.15987  99.97000  99.88493  99.72462  99.94498  99.98500 #>  [58227] 100.30952 100.48881 100.23472 100.35437 100.06498 100.12992  99.61426 #>  [58234]  99.99500  99.39819  99.77475 100.05498 100.13990 100.44899  99.80481 #>  [58241]  99.95499 100.10494 100.11993 100.43904 100.14490 100.39422  99.76472 #>  [58248]  99.83486 100.19980  99.93498  99.90495  99.86992 100.00500  99.67447 #>  [58255]  99.68450  99.49874 100.14490 100.05498 100.12992 100.19980  99.64939 #>  [58262]  99.78978  99.99500  99.56907 100.32946  99.79980  99.72462  99.70958 #>  [58269]  99.80982 100.03000  99.52889 100.40418 100.06498 100.26465  99.80481 #>  [58276] 100.09495 100.22475 100.42410 100.12492  99.72462 100.42410  99.61928 #>  [58283]  99.67949 100.20479 100.18982  99.82986 100.42410  99.91496 100.14490 #>  [58290]  99.29753  99.81483  99.59418  99.90996 100.30952  99.91496 100.09495 #>  [58297] 100.32447  99.76472  99.93498 100.13491 100.15488  99.47864 100.08996 #>  [58304] 100.01500  99.85489  99.84488 100.55844 100.01000  99.51382  99.43842 #>  [58311]  99.94498  99.61426  99.69955 100.38426  99.81984  99.85990  99.90495 #>  [58318] 100.18982 100.55844  99.67447 100.24969 100.08496 100.50871 100.09495 #>  [58325]  99.98500 100.23971 100.22974 100.30454 100.10494 100.09495 100.10994 #>  [58332] 100.22974  99.91496  99.61426 100.02500  99.59418  99.91496  99.82485 #>  [58339]  99.59418  99.80982  99.63935 100.16486  99.90996 100.09995 100.17485 #>  [58346]  99.85990 100.27961  99.90495  99.70958  99.76973  99.56907 100.19481 #>  [58353]  99.48869  99.70958  99.74969  99.61426  99.52889  99.66945 100.22974 #>  [58360] 100.39422  99.92497 100.04499 100.13990  99.87492 100.02500 100.69260 #>  [58367]  99.88493 100.17485 100.28460  99.55401 100.13990  99.28746  99.96499 #>  [58374]  99.99500  99.53391 100.13491 100.21477  99.89494  99.44848  99.76472 #>  [58381] 100.13990 100.27462 100.15987  99.87993  99.55401  99.84488 100.34441 #>  [58388] 100.37928  99.78978  99.86992 100.19481 100.03499  99.95499  99.67949 #>  [58395] 100.06998  99.68450  99.99000 100.15987  99.82986  99.75470  99.98500 #>  [58402]  99.80982 100.49378 100.26465  99.63935 100.15488  99.63433 100.49876 #>  [58409]  99.97500 100.27961 100.27961  99.55903  99.58414 100.39422  99.85489 #>  [58416]  99.71961 100.30454 100.03499 100.30454  99.62931  99.81483  99.53894 #>  [58423]  99.79479  99.93498  99.66444  99.83486 100.13990  99.52889  99.46356 #>  [58430] 100.22475 100.10994 100.37430  99.49372  99.87492  99.94999 100.86129 #>  [58437]  99.63433 100.30454 100.18483  99.81984 100.06998  99.60422  99.77475 #>  [58444] 100.09495 100.08996  99.71459 100.23971 100.35935 100.02000  99.68450 #>  [58451]  99.77475 100.33444 100.62306 100.22475  99.52387 100.11493 100.06498 #>  [58458]  99.74467  99.89995 100.02000 100.18483 100.33942 100.00000 100.29457 #>  [58465] 100.24470 100.33942 100.47388 100.15488  99.81483 100.00000 100.24969 #>  [58472]  99.65440 100.32946 100.22475  99.73966  99.92998 100.14490  99.73966 #>  [58479] 100.03499 100.19980  99.69955  99.68450  99.88493  99.59920 100.32447 #>  [58486]  99.76472  99.99000  99.79479 100.15987 100.41912 100.55844  99.89995 #>  [58493]  99.87492 100.07497 100.34441 100.02000 100.00500 100.41414 100.39422 #>  [58500]  99.75470  99.81483  99.65942  99.94498  99.92497  99.51884  99.76472 #>  [58507]  99.78978  99.92998 100.02500  99.51884  99.52387  99.86992 100.21477 #>  [58514] 100.17485 100.45895  99.83987  99.92998 100.36932  99.71459 100.60815 #>  [58521] 100.00000  99.79980  99.91496  99.80982  99.78978 100.02500 100.16986 #>  [58528]  99.95999 100.11493  99.83486 100.59821  99.54898  99.96499  99.99500 #>  [58535]  99.94999  99.75470  99.64939 100.14989 100.16486  99.55903  99.61928 #>  [58542] 100.14490 100.22974  99.86992  99.93998  99.93998 100.35935 100.24969 #>  [58549]  99.95499  99.82986 100.07997 100.18483 100.03499  99.95499  99.94498 #>  [58556] 100.24969  99.80982  99.62931 100.21976 100.35437 100.06998 100.54850 #>  [58563] 100.38426  99.30257  99.70456 100.33942  99.87993  99.79980  99.25220 #>  [58570] 100.10494 100.20978  99.86992  99.95999 100.23472 100.24470 100.28460 #>  [58577]  99.84989  99.78978 100.16986 100.10494 100.07497  99.66945 100.42908 #>  [58584] 100.10494  99.94498  99.94999 100.04499 100.02500 100.10994 100.01500 #>  [58591]  99.54898 100.25966 100.20978 100.54850 100.10994  99.37807  99.43842 #>  [58598] 100.38924 100.43904 100.29457 100.48881  99.58916 100.08496  99.84488 #>  [58605] 100.08996  99.70456 100.07997 100.37430 100.36434  99.65942  99.99500 #>  [58612] 100.28460  99.59418 100.32447 100.27462 100.19481  99.54396 100.40418 #>  [58619] 100.03499  99.72963 100.06498 100.00000  99.94999 100.17984  99.77976 #>  [58626]  99.92998  99.78477  99.88994  99.94999  99.76472  99.98500 100.04499 #>  [58633]  99.61928  99.71459  99.72462  99.95499  99.94498 100.25966 100.18982 #>  [58640] 100.01500  99.81483 100.17984 100.10494  99.92998  99.80481  99.72462 #>  [58647]  99.74969  99.79479  99.99000 100.03999 100.15987  99.98500 100.31451 #>  [58654] 100.22974  99.58414  99.99000  99.79479 100.15488  99.75971  99.80982 #>  [58661] 100.19980  99.95499  99.70958  99.55401 100.16486  99.88493  99.52889 #>  [58668]  99.62931 100.01500 100.32447 100.00000  99.88994  99.87993 100.25468 #>  [58675] 100.26964 100.33444  99.94999 100.58330 100.13990  99.84488  99.81984 #>  [58682]  99.91496 100.06498 100.28460  99.92497 100.04499 100.50871 100.66777 #>  [58689]  99.77475 100.51865  99.78477 100.28460 100.15987 100.20479 100.16486 #>  [58696]  99.87492 100.03000  99.92998  99.81984  99.85489 100.01000 100.23472 #>  [58703] 100.28460  99.71459 100.06498 100.27961 100.15488 100.10494 100.02500 #>  [58710]  99.75971 100.18483 100.13491 100.49378 100.58330  99.36297 100.04999 #>  [58717] 100.25966  99.84488 100.21976 100.08496  99.77475 100.03000 100.40916 #>  [58724] 100.08996  99.53894 100.06498 100.12492 100.55844 100.31451 100.38924 #>  [58731] 100.01000  99.84488  99.73465 100.09995 100.15987  99.97000  99.78477 #>  [58738]  99.48869 100.10494 100.27961  99.50377 100.19481  99.99500 100.07997 #>  [58745]  99.84989 100.09995  99.49372  99.89995  99.82485  99.95499  99.82986 #>  [58752]  99.48367 100.51368 100.10494 100.10994 100.03499  99.98500  99.95499 #>  [58759]  99.87993 100.01000  99.47864  99.88493 100.18483  99.53391  99.57911 #>  [58766] 100.07997  99.93498 100.44401 100.45397  99.86992 100.03000 100.27462 #>  [58773]  99.50377 100.20479  99.95999  99.77475  99.33277 100.47885 100.36932 #>  [58780]  99.59418  99.89494  99.95499 100.61312  99.79479 100.04499  99.87993 #>  [58787] 100.05998  99.73966  99.47864  99.52889 100.43904  99.81984  99.86992 #>  [58794]  99.55401  99.75470  99.67447 100.36932 100.36932  99.64437 100.14989 #>  [58801] 100.05498 100.08496  99.85489  99.63433 100.00000  99.98000 100.13990 #>  [58808]  99.92998 100.30454 100.04499 100.27462  99.28243  99.95499  99.76472 #>  [58815] 100.35935 100.46392  99.97000  99.88994  99.91496  99.90996 100.31949 #>  [58822] 100.40916 100.15987  99.90996 100.14490 100.02500 100.21477 100.01000 #>  [58829]  99.84989 100.24470 100.22475  99.96499 100.13990 100.04999 100.15987 #>  [58836] 100.50373 100.00500  99.98500  99.75971  99.97500 100.37928 100.30952 #>  [58843] 100.07997  99.99000 100.62306  99.56907  99.79479 100.26964  99.82485 #>  [58850]  99.33277  99.97000 100.68267  99.73966 100.10494  99.85489  99.84488 #>  [58857] 100.24969 100.31451  99.72462  99.76472  99.37807 100.07497  99.66444 #>  [58864]  99.91496 100.39422  99.79980 100.66777 100.11993  99.77475  99.91496 #>  [58871] 100.09495  99.66444 100.15488 100.10994  99.65440 100.16986 100.45895 #>  [58878] 100.47885 100.44401  99.50377 100.02500  99.46356 100.47885 100.09995 #>  [58885] 100.17984 100.16486 100.01500 100.39920 100.61809  99.19677 100.53358 #>  [58892] 100.00500 100.14989  99.78477 100.38924 100.12492  99.89995 100.13990 #>  [58899] 100.25966 100.38924  99.78477 100.03999  99.67949  99.86491  99.89494 #>  [58906]  99.94498 100.06498  99.92497 100.04499 100.07497  99.85990 100.13990 #>  [58913] 100.20978 100.28460  99.87492  99.40322 100.34939 100.15488  99.60422 #>  [58920]  99.82986 100.17485  99.74467 100.31949 100.09995 100.02500 100.28958 #>  [58927] 100.20479 100.38924 100.31451  99.55401 100.07497  99.99000 100.19980 #>  [58934] 100.49876 100.17485  99.84989  99.75470  99.97500  99.94999 100.15987 #>  [58941] 100.15987 100.80179 100.12492 100.48881  99.87492 100.09495 100.20978 #>  [58948]  99.98000 100.37928  99.95999  99.94999 100.34441  99.95499  99.90996 #>  [58955] 100.23472  99.81483 100.19481  99.91496 100.26465  99.77475  99.56907 #>  [58962] 100.30952 100.03999 100.42908 100.54850  99.85489  99.85990 100.21976 #>  [58969] 100.06498  99.91496 100.39920  99.97500 100.21976  99.48367 100.07997 #>  [58976] 100.18982  99.83987  99.72963  99.83486 100.20978 100.09995 100.09995 #>  [58983]  99.84989  99.75470 100.29955 100.07497 100.29457  99.85489  99.90996 #>  [58990]  99.98000 100.02500 100.36932  99.92497  99.73465 100.66280 100.20978 #>  [58997]  99.81984  99.74467  99.88493 100.37430  99.92497 100.50373 100.34939 #>  [59004] 100.10494  99.45853 100.53358  99.82986 100.25468 100.03499 100.52363 #>  [59011]  99.39819 100.16986  99.83486 100.00500  99.74467 100.08496  99.89494 #>  [59018]  99.89494  99.90996 100.01000  99.65942  99.25724  99.91997 100.03499 #>  [59025] 100.03000  99.77976  99.79479 100.18483  99.89995 100.39920 100.34939 #>  [59032] 100.67274  99.26228  99.85489 100.13491 100.16986 100.03000 100.36932 #>  [59039]  99.51884 100.33942  99.83486 100.02500 100.17984  99.60422  99.55903 #>  [59046]  99.50879 100.24969 100.52860 100.04499  99.99000 100.33942  99.97000 #>  [59053]  99.80982 100.02500 100.30952 100.18982 100.03000 100.15987 100.06998 #>  [59060] 100.05498  99.85489  99.92497  99.59418  99.99000  99.60422  99.99500 #>  [59067] 100.63797 100.08996  99.92497 100.07997  99.79980  99.59920 100.37430 #>  [59074] 100.20978 100.24470  99.80982 100.60318 100.67274  99.85990 100.17485 #>  [59081] 100.21477 100.10994  99.76973 100.53358  99.79980 100.29457  99.67447 #>  [59088] 100.20479 100.12992  99.97000  99.92998 100.54850 100.01000 100.00000 #>  [59095] 100.21976 100.22974  99.82986 100.08496  99.39819 100.50373 100.16486 #>  [59102] 100.44401  99.84989 100.02000  99.57911 100.12492  99.71459  99.74467 #>  [59109]  99.92497  99.37807  99.95499 100.70253  99.90996  99.99500  99.88493 #>  [59116] 100.12992 100.22475  99.84488  99.72963 100.13990  99.77976  99.85489 #>  [59123] 100.05998 100.10994  99.82485 100.34939 100.31451  99.76973 100.53358 #>  [59130]  99.72462 100.09995 100.11493  99.83987  99.83987 100.12992 100.55347 #>  [59137]  99.87492 100.33942 100.19980  99.91496 100.00500  99.58414  99.76472 #>  [59144]  99.94498  99.64437  99.59920  99.34787 100.28958 100.02500 100.51368 #>  [59151] 100.58330 100.17485  99.90495 100.41414 100.53358 100.17485  99.87993 #>  [59158]  99.58916 100.57833  99.98000  99.79980 100.25966 100.06498 100.36932 #>  [59165] 100.36434 100.51368  99.71961 100.24969  99.96499 100.25966 100.29457 #>  [59172]  99.97000 100.29955  99.36297  99.77475  99.66444 100.00000  99.61928 #>  [59179]  99.82485 100.03999 100.06998 100.58827 100.57833  99.74467  99.55903 #>  [59186] 100.06498  99.71961 100.20978  99.77976  99.72462 100.00000 100.01000 #>  [59193]  99.57409  99.74467 100.20978  99.98500 100.41912  99.63935  99.79479 #>  [59200] 100.24470 100.56838  99.84989 100.13491  99.81984  99.87993  99.90495 #>  [59207]  99.97500  99.96499 100.13491  99.92998  99.98500 100.25468 100.09995 #>  [59214]  99.92497 100.06998 100.51865  99.68450 100.40418  99.96499 100.33942 #>  [59221] 100.17984 100.23971 100.54352 100.05998  99.89995 100.03999  99.73966 #>  [59228] 100.33942 100.34939 100.15488 100.12992 100.03999  99.87993 100.02000 #>  [59235] 100.43904  99.61426 100.05498 100.46392 100.31949  99.73966 100.43406 #>  [59242]  99.42837  99.66444  99.85489 100.20479 100.05998 100.43904 100.13491 #>  [59249]  99.91496  99.76472 100.53358  99.80481  99.63935  99.76472 100.16986 #>  [59256] 100.15488 100.05998 100.17984 100.30952 100.01500  99.41831  99.97500 #>  [59263]  99.93998 100.36434 100.52860 100.28460  99.74969  99.64939 100.65287 #>  [59270]  99.83486 100.07497 100.13491  99.87492  99.54396  99.74969  99.45853 #>  [59277]  99.92998 100.02500 100.03499 100.29955 100.06498 100.25468  99.40322 #>  [59284]  99.49372 100.11493  99.81483  99.94498  99.74969 100.26465  99.84488 #>  [59291] 100.35437 100.30952 100.26465 100.05998  99.70958  99.84989  99.97000 #>  [59298] 100.22974  99.96499  99.95999 100.16986  99.76973 100.33942 100.25966 #>  [59305]  99.70958 100.25966 100.16986  99.55401 100.36434  99.51382  99.90495 #>  [59312] 100.37928  99.56405 100.21477 100.28460 100.17984  99.87993  99.98500 #>  [59319]  99.86491  99.76472  99.71961  99.75971  99.57409 100.14989 100.08496 #>  [59326] 100.31451 100.03000  99.85489 100.14490 100.39920 100.06998 100.40916 #>  [59333]  99.76973  99.42334  99.78978  99.73465 100.38426  99.78978  99.77976 #>  [59340]  99.74969 100.25966 100.14490 100.07497 100.53358  99.73966  99.95999 #>  [59347]  99.91997 100.36434 100.15987  99.68450 100.64293  99.76973 100.25468 #>  [59354]  99.70456  99.86491 100.47885 100.60318 100.19980 100.30952 100.18982 #>  [59361]  99.33277 100.22974 100.03499 100.41414  99.84989 100.39422 100.29955 #>  [59368]  99.81483  99.61928  99.90996  99.21693 100.25468  99.98000  99.69955 #>  [59375] 100.24969 100.10494 100.14989  99.55401  99.54898 100.06998 100.34441 #>  [59382]  99.58414  99.86491 100.73232  99.91496 100.25966  99.87993 100.37928 #>  [59389]  99.65440 100.03499 100.38426 100.06998  99.81984  99.46859  99.92998 #>  [59396]  99.90495 100.06998 100.07497 100.31451 100.38924 100.29955 100.45895 #>  [59403]  99.68952 100.16986  99.88493 100.32946 100.34441  99.57409  99.86491 #>  [59410]  99.76472  99.75971  99.83987 100.25468  99.95999 100.00000 100.14490 #>  [59417]  99.93498  99.97000  99.67949 100.33942 100.04999  99.88493 100.05498 #>  [59424]  99.40322  99.61928  99.50879  99.95999 100.33942 100.32946  99.94498 #>  [59431]  99.84488 100.03499  99.38813 100.27462 100.00000  99.80982 100.69260 #>  [59438]  99.93498  99.61928  99.88994 100.29457 100.32447  99.61426  99.34284 #>  [59445] 100.42908  99.28243  99.61426 100.07497  99.97500  99.88994  99.83486 #>  [59452]  99.87993  99.89995 100.09495 100.10494  99.96499 100.18982  99.46859 #>  [59459]  99.64939 100.00500 100.10494 100.11493  99.84488 100.11993  99.85489 #>  [59466]  99.90495 100.24969 100.29955 100.07997 100.08496  99.60422  99.72963 #>  [59473]  99.95999 100.02000  99.64939  99.74467  99.62429  99.83486  99.76973 #>  [59480]  99.71459  99.73966  99.97500 100.40418 100.57833 100.19980  99.68450 #>  [59487]  99.76472  99.99500  99.49372  99.70958 100.17485 100.30454  99.93998 #>  [59494] 100.43406 100.32447 100.06998 100.47885 100.31451  99.74467 100.26465 #>  [59501] 100.23971 100.09495 100.09495  99.59418  99.90996  99.79980  99.97000 #>  [59508] 100.11993  99.64939 100.37430  99.90996  99.96499 100.58827 100.08996 #>  [59515]  99.59920  99.48869 100.19481 100.06498  99.50879 100.43406 100.15488 #>  [59522]  99.63935  99.73966  99.80481  99.45351  99.69453 100.55347 100.04999 #>  [59529]  99.92497 100.35437 100.06998 100.47885  99.94999 100.22974 100.33444 #>  [59536] 100.28460 100.62306  99.81483 100.17984 100.03499 100.22974 100.28958 #>  [59543] 100.27462  99.94498  99.79479 100.33444 100.24969  99.72462  99.67447 #>  [59550] 100.60318  99.84488 100.30454 100.08996  99.75470 100.03000 100.01000 #>  [59557] 100.51368  99.70958 100.19481  99.58414 100.21477  99.68450 100.35935 #>  [59564] 100.48383 100.39920  99.32271  99.63935  99.68450  99.81984  99.92998 #>  [59571] 100.28460  99.60422  99.77475 100.18483  99.80982 100.35935  99.97500 #>  [59578] 100.06998 100.04499 100.12992 100.18483 100.27961 100.19980 100.18982 #>  [59585] 100.26465  99.99500 100.10494 100.08496  99.56405  99.66945 100.74225 #>  [59592] 100.29955 100.26465 100.26964 100.28958 100.06998  99.60422 100.30454 #>  [59599]  99.73966 100.13990 100.02500 100.06998 100.03499  99.82986 100.41912 #>  [59606]  99.75971  99.62429 100.12492  99.93498  99.95999 100.57833 100.30952 #>  [59613]  99.39316 100.05498 100.46890  99.59920 100.10494 100.29955  99.74969 #>  [59620]  99.92497 100.10494  99.76973  99.85990  99.72963 100.14490 100.04999 #>  [59627]  99.91997 100.14989  99.44848  99.50377  99.80982  99.89995 100.07497 #>  [59634]  99.90996 100.60815  99.93998  99.94498 100.43406  99.98000 100.05498 #>  [59641]  99.97500  99.93998 100.00500 100.09995  99.81984  99.97500  99.71961 #>  [59648] 100.38924  99.94999 100.07997 100.51865  99.53894 100.12992  99.65942 #>  [59655] 100.10994 100.11993 100.26964 100.94553  99.18165  99.68952 100.26465 #>  [59662]  99.85990 100.24969  99.76472 100.19481  99.86491 100.01500 100.27961 #>  [59669]  99.81483 100.23971 100.15488  99.62931  99.87993 100.43406  99.91496 #>  [59676]  99.84488 100.19980  99.69955 100.30454  99.98000 100.08996  99.77475 #>  [59683] 100.05998 100.00000  99.76472  99.78477  99.52387  99.79479  99.87492 #>  [59690]  99.87993  99.87492 100.25468  99.76973  99.98000  99.66945  99.78978 #>  [59697]  99.88493  99.66945 100.52363 100.28460 100.28460 100.07997  99.37303 #>  [59704] 100.37928  99.91997 100.01000  99.56907 100.36932  99.96499  99.78477 #>  [59711] 100.32946 100.27961 100.19481 100.15987 100.32447  99.82485 100.25966 #>  [59718]  99.78477  99.83987 100.03000  99.55903  99.78477 100.03999 100.16986 #>  [59725] 100.19481 100.10994 100.04999  99.99000 100.34939  99.52889 100.11493 #>  [59732] 100.11493  99.84989  99.76973 100.02000 100.32946  99.70456  99.50377 #>  [59739] 100.74721  99.58414  99.94498  99.75470  99.79479 100.16986 100.21477 #>  [59746]  99.44848  99.70456 100.04999 100.05498  99.96499 100.37928  99.92497 #>  [59753]  99.79980  99.78477 100.08996  99.88493 100.89103 100.68764 100.07497 #>  [59760] 100.10494 100.08496  99.82986  99.71961  99.81984  99.60422  99.85990 #>  [59767] 100.27961 100.21477  99.91496 100.03999  99.87993  99.92497 100.20479 #>  [59774] 100.41414  99.58414 100.03499  99.94498  99.80481  99.71961  99.64939 #>  [59781]  99.76973 100.07997 100.07497  99.74467  99.89995 100.13990  99.92998 #>  [59788]  99.60422 100.02000  99.31767 100.12992  99.84488  99.42334 100.23472 #>  [59795] 100.11993  99.84989  99.91496 100.10994  99.65942 100.43904 100.25468 #>  [59802] 100.04499  99.49874 100.43904 100.39920 100.04999 100.15488  99.52387 #>  [59809]  99.54898  99.75470  99.43339 100.27462 100.27961 100.02500  99.74467 #>  [59816]  99.96499  99.94999  99.74969 100.01500  99.69453 100.01000  99.90495 #>  [59823]  99.78477  99.89995  99.78978  99.97500 100.39422  99.76973 100.33942 #>  [59830]  99.94999  99.88994  99.93498  99.63433  99.62931  99.64437  99.94999 #>  [59837]  99.93998 100.49876  99.98000  99.86491 100.43406  99.68952  99.91496 #>  [59844]  99.97500 100.67274  99.92497  99.70456  99.84989 100.16486  99.47864 #>  [59851]  99.86491 100.20978 100.13491 100.20978  99.94498 100.07997  99.97000 #>  [59858]  99.76973 100.13491 100.04499  99.76973 100.55844 100.40916 100.35935 #>  [59865]  99.97500  99.40825 100.35437  99.97500 100.27961  99.92497  99.71459 #>  [59872]  99.80481  99.70958 100.37430  99.90996 100.17485  99.72963 100.19980 #>  [59879] 100.05498 100.41912 100.10994  99.78477  99.75971 100.17485 100.12992 #>  [59886]  99.87492  99.85489  99.73465  99.88493 100.13990 100.25468  99.67949 #>  [59893] 100.00500 100.05498 100.60815 100.19481  99.85489 100.07497 100.03000 #>  [59900]  99.64437 100.33444 100.33942  99.72963 100.04999  99.98000 100.07497 #>  [59907] 100.03999 100.31949  99.53894  99.94999  99.91997 100.11493 100.39422 #>  [59914] 100.40916 100.35437 100.21477 100.17485  99.96499  99.77976  99.98000 #>  [59921]  99.86491 100.60815  99.76472  99.90996 100.03999 100.00000 100.00000 #>  [59928] 100.10494  99.95499 100.27961 100.44401  99.76973 100.13990  99.86992 #>  [59935]  99.78477 100.09495  99.79980  99.23709 100.30454 100.14490 100.16986 #>  [59942]  99.33781  99.41328  99.88493 100.22475  99.36297 100.28958 100.06498 #>  [59949]  99.83987  99.95999  99.74467 100.42410 100.22974 100.24470  99.90495 #>  [59956] 100.00000  99.49874 100.15488  99.75971 100.01500  99.44345 100.03499 #>  [59963] 100.01500  99.41328 100.01000 100.30454 100.60318 100.27462 100.13990 #>  [59970]  99.66444 100.44899 100.30454 100.01000  99.71459 100.02500 100.01000 #>  [59977] 100.16486 100.35935 100.09995  99.69955 100.21477  99.38310 100.01500 #>  [59984]  99.97000 100.68764  99.98500 100.22475 100.22974 100.35437 100.01500 #>  [59991] 100.42410  99.88493  99.64939  99.53391 100.04499  99.76973  99.91997 #>  [59998] 100.16486 100.06498  99.97500 100.37928 100.21477 100.10994 100.37928 #>  [60005] 100.01000 100.22475  99.66945  99.72462 100.18483 100.22974  99.94999 #>  [60012]  99.60924 100.41414 100.09995  99.78477 100.16486  99.66444  99.97000 #>  [60019] 100.25966 100.33942  99.48367 100.03499  99.90495  99.73966 100.64293 #>  [60026]  99.65942 100.03499 100.13491  99.93998  99.83486  99.62931  99.66444 #>  [60033]  99.83486 100.00000 100.13491  99.44345 100.48881  99.50879 100.20479 #>  [60040] 100.17984 100.68764 100.34441  99.36297 100.03999 100.23472  99.90996 #>  [60047]  99.66945  99.91496 100.32447 100.55347 100.53855  99.76973 100.66777 #>  [60054]  99.82986 100.45895  99.89995  99.78477 100.15987  99.94999 100.45397 #>  [60061] 100.05998  99.86491  99.83987  99.75971  99.65942  99.85990  99.87993 #>  [60068]  99.97000 100.00500 100.56838 100.03000 100.09995 100.42410  99.97000 #>  [60075]  99.89995  99.99000  99.78477 100.26465 100.38924 100.13491  99.52387 #>  [60082] 100.08996 100.33942 100.11493 100.11493  99.85489 100.15488 100.24969 #>  [60089]  99.97000  99.82986  99.84488 100.43904  99.79479 100.10494 100.13990 #>  [60096] 100.05998  99.75971  99.62429 100.59821 100.05998 100.51368  99.99000 #>  [60103] 100.21477 100.22974 100.38426  99.94999  99.68952  99.98000 100.23971 #>  [60110] 100.04999 100.05998  99.97000 100.02500  99.58414  99.91496  99.81483 #>  [60117] 100.23472 100.34441 100.06998 100.22974 100.04499 100.03499 100.32946 #>  [60124] 100.23971 100.10494 100.31949 100.12992 100.28958 100.33444  99.88994 #>  [60131] 100.12992 100.16986 100.16986  99.97000 100.41912 100.00000 100.05998 #>  [60138] 100.22974 100.04999 100.02000 100.40418 100.11993 100.14490 100.20479 #>  [60145]  99.65440  99.75971 100.50871 100.39422 100.00000 100.32447  99.77475 #>  [60152]  99.61928 100.36434 100.26964  99.87492  99.61928  99.49372 100.66777 #>  [60159]  99.98500 100.21477 100.64293  99.67447  99.99000  99.91997  99.99000 #>  [60166]  99.70958 100.32946 100.11993 100.24470 100.17485 100.23971  99.94999 #>  [60173]  99.89995  99.57409 100.21976  99.97500 100.50871 100.37928 100.43904 #>  [60180] 100.04999  99.70958 100.21477  99.55401 100.11993 100.14490 100.36434 #>  [60187] 100.09495 100.44401  99.88994 100.01500 100.00500  99.93498 100.00500 #>  [60194] 100.30952 100.01000 100.15488 100.06498  99.80481  99.93998 100.25468 #>  [60201]  99.45351  99.65942 100.11493  99.88493 100.22475  99.92497  99.89494 #>  [60208] 100.54352 100.13491 100.06498 100.40418 100.57336  99.82986 100.19980 #>  [60215] 100.32447 100.07497 100.00500 100.11493  99.62429 100.29955  99.78978 #>  [60222] 100.43406  99.84989  99.84989  99.71961 100.03999  99.79980  99.74969 #>  [60229] 100.19980 100.18982 100.71246 100.07997  99.72462 100.37928  99.95499 #>  [60236]  99.76472  99.81984  99.89494  99.80982  99.68450  99.88994 100.31949 #>  [60243]  99.84488 100.05998  99.75971 100.02000  99.67949 100.21976  99.65440 #>  [60250] 100.26465 100.18483 100.09495 100.07997  99.83486  99.70456 100.42410 #>  [60257]  99.58916 100.19980 100.23971 100.59324 100.18982 100.05498  99.68450 #>  [60264]  99.77976 100.21477  99.73465  99.97000 100.50373 100.17984 100.20978 #>  [60271]  99.98500  99.98000 100.05998 100.00500  99.94498 100.06998  99.50377 #>  [60278]  99.97000  99.99500  99.66945  99.51382 100.18982  99.96499  99.52387 #>  [60285]  99.95999 100.18483 100.12992 100.25966 100.06998 100.32447  99.84989 #>  [60292] 100.06498 100.11493  99.95999  99.97500 100.36932  99.98000  99.99500 #>  [60299] 100.13491  99.53894  99.71961  99.67447 100.46392  99.44345  99.58414 #>  [60306]  99.58916  99.68952  99.78477  99.68952  99.94498  99.89995 100.18982 #>  [60313]  99.59920  99.49372  99.92998  99.64437  99.62931  99.53894  99.61928 #>  [60320] 100.14989 100.08996 100.02500 100.37430  99.73465 100.32447  99.93998 #>  [60327] 100.09495 100.40418  99.87993  99.90996 100.17485 100.32447  99.75971 #>  [60334] 100.33942  99.84488  99.98000  99.90495 100.04999 100.12492  99.91997 #>  [60341]  99.99000 100.01500 100.02500 100.02000  99.79980 100.04999  99.88493 #>  [60348]  99.38310 100.28958  99.46859 100.02500  99.86992 100.17984 100.16986 #>  [60355]  99.69955 100.20479 100.53358 100.16486 100.36932  99.57911 100.49378 #>  [60362]  99.89995 100.39920  99.70456  99.77475  99.85489  99.89494  99.96499 #>  [60369]  99.94498  99.82485 100.16486 100.02500 100.37430 100.29955 100.27462 #>  [60376]  99.58916  99.75470  99.99000  99.83987 100.15488  99.94999 100.30952 #>  [60383] 100.21477 100.09495 100.12992 100.43904 100.18483 100.24969  99.99000 #>  [60390] 100.29955 100.56341 100.09995  99.68952  99.90495 100.20978  99.91496 #>  [60397]  99.83987 100.21477 100.43904  99.77976 100.03999 100.00500 100.49378 #>  [60404]  99.88493 100.42410  99.57911  99.83987  99.79479  99.89995 100.14989 #>  [60411] 100.49876  99.83987 100.04499 100.05998 100.21976 100.09995  99.89995 #>  [60418] 100.76210 100.12492 100.07497  99.38310 100.36932 100.05998 100.38426 #>  [60425]  99.84989  99.67447 100.05498  99.82986  99.61928  99.72963 100.14490 #>  [60432]  99.84488  99.67447  99.91997 100.00000  99.58916  99.74969 100.28460 #>  [60439] 100.22974  99.81984  99.80481 100.13491 100.23472 100.06498 100.30454 #>  [60446]  99.97500  99.88994 100.05998 100.44401  99.75470 100.06998  99.93498 #>  [60453] 100.35437  99.75971 100.10494 100.15987 100.64293  99.88994 100.02500 #>  [60460]  99.99500  99.81483  99.72462  99.96499 100.65287  99.78477 100.32447 #>  [60467]  99.33277 100.37430  99.96499 100.00500 100.13491  99.90495  99.94999 #>  [60474]  99.77475 100.05998  99.98500 100.19980 100.31451 100.16486 100.03999 #>  [60481] 100.47388 100.33444  99.84989 100.44401 100.72735  99.81483 100.01500 #>  [60488] 100.15987 100.22974  99.74467  99.85990  99.89995 100.06998 100.43406 #>  [60495] 100.04999  99.65942  99.84488  99.71459 100.22475  99.77976 100.13990 #>  [60502]  99.60422 100.36932 100.50373 100.31949 100.14989  99.47864  99.78477 #>  [60509] 100.08496  99.93498 100.13990  99.92497 100.11993  99.98500  99.74467 #>  [60516]  99.91997 100.19980  99.76472  99.89494 100.30952 100.13990 100.18982 #>  [60523]  99.92497 100.37430  99.90495  99.95999 100.32447 100.15488 100.01000 #>  [60530]  99.27739 100.26964  99.80481 100.05498  99.86992 100.38924 100.10494 #>  [60537] 100.54352  99.60422  99.40322 100.14490  99.77475 100.08996 100.45397 #>  [60544]  99.80982  99.79479  99.65942 100.03999 100.02000 100.03000 100.06498 #>  [60551] 100.10494 100.68267  99.88493  99.60924  99.88994  99.89995  99.97500 #>  [60558] 100.15987 100.67274  99.82986 100.08496  99.95499  99.88994  99.71961 #>  [60565]  99.98000  99.97000 100.01000  99.87993 100.07997 100.13990  99.57911 #>  [60572]  99.45351  99.72462 100.25468  99.80982 100.15987 100.51368 100.18483 #>  [60579]  99.75470 100.34441 100.05498  99.78477  99.99500 100.27462  99.81483 #>  [60586] 100.01000  99.89494  99.97500 100.15488 100.11493 100.40916 100.14989 #>  [60593]  99.79479  99.80982 100.10994 100.27961  99.81483  99.81984  99.88493 #>  [60600]  99.65942 100.29457  99.89995 100.56838 100.27961  99.94498 100.13491 #>  [60607] 100.25468 100.40418  99.79980  99.80982  99.51884 100.23472 100.14989 #>  [60614] 100.22475  99.70958  99.87492  99.75971  99.98000 100.32447  99.60422 #>  [60621] 100.07497  99.94999 100.31949 100.45895 100.31949 100.30952  99.77976 #>  [60628] 100.15488 100.15987  99.84488  99.36297  99.70958 100.25966 100.53358 #>  [60635]  99.91997 100.09495 100.20479  99.77475  99.82485 100.22974 100.73232 #>  [60642] 100.14490 100.02000 100.03499 100.17984 100.04499  99.45853  99.59920 #>  [60649] 100.17984 100.37430  99.59920  99.99000  99.83987 100.08996  99.92497 #>  [60656] 100.00000  99.88493  99.54898  99.87993 100.84146  99.31264 100.23971 #>  [60663] 100.02000 100.09495  99.88994  99.93498  99.54396 100.25966 100.16986 #>  [60670]  99.81984 100.51865 100.23472 100.25468  99.81483  99.46859  99.86491 #>  [60677]  99.68450  99.55903 100.27462 100.50871  99.38813 100.05498 100.02500 #>  [60684] 100.21477  99.75971 100.23971 100.17984 100.30454  99.99000 100.12492 #>  [60691] 100.12992  99.58916  99.79980 100.28460 100.35437  99.94498 100.09995 #>  [60698]  99.77976  99.83486 100.20479  99.92998  99.75470 100.53855  99.55401 #>  [60705] 100.02500  99.81984 100.58330  99.78978  99.70456  99.89995 100.06498 #>  [60712]  99.87993 100.08496 100.05498  99.96499  99.99500  99.61928  99.81984 #>  [60719]  99.71459  99.64437  99.77475  99.63433  99.77475 100.02500  99.89494 #>  [60726] 100.08496 100.42908 100.32447 100.32946 100.55347 100.16986 100.39920 #>  [60733]  99.54396 100.19980 100.04499  99.34787  99.51382 100.04499  99.80481 #>  [60740] 100.05998  99.83486  99.66945  99.48869  99.81984  99.91997  99.76472 #>  [60747]  99.58414  99.74467  99.94498 100.31949  99.80481 100.08496  99.55401 #>  [60754]  99.97500  99.99500  99.83987 100.19481  99.69453  99.41831 100.34441 #>  [60761]  99.91997 100.01000 100.71743 100.14989  99.68952  99.86491  99.56907 #>  [60768]  99.38813 100.04999  99.93998 100.28460  99.93998  99.74467 100.04999 #>  [60775] 100.47388 100.08996 100.33444  99.92497  99.60924  99.76472  99.98000 #>  [60782] 100.18483  99.88994  99.95499  99.87492  99.91997  99.97500 100.03499 #>  [60789] 100.05998  99.84488  99.95999 100.44899  99.71459 100.03000  99.69453 #>  [60796]  99.45853  99.87993 100.42410  99.83486 100.28958  99.76973 100.19980 #>  [60803] 100.34441 100.00500  99.94999 100.00000  99.65942  99.77475 100.04999 #>  [60810]  99.22197 100.24969  99.88493  99.93998 100.09495 100.38924  99.94999 #>  [60817]  99.97000 100.45397 100.45895 100.40916  99.94498  99.62931  99.36297 #>  [60824]  99.72963 100.28958  99.91496  99.66945  99.92497  99.96499 100.26964 #>  [60831]  99.41328 100.28460 100.38924 100.17485  99.91997 100.15987  99.97000 #>  [60838] 100.15987 100.15987  99.96499  99.71459 100.02000  99.82986 100.27961 #>  [60845] 100.30952  99.95999 100.20978 100.00500  99.90495 100.23971 100.05998 #>  [60852]  99.78477 100.22974  99.99000 100.06998  99.73966  99.96499 100.22475 #>  [60859]  99.50879 100.34441  99.55401 100.26465 100.32447 100.06998 100.21477 #>  [60866]  99.46356 100.28958  99.89494 100.01500 100.00500  99.38310  99.61426 #>  [60873]  99.95499  99.35794 100.02500 100.07997  99.61928 100.05998 100.08496 #>  [60880] 100.34441  99.75971 100.12492  99.86491  99.86491 100.17485  99.44848 #>  [60887] 100.03499  99.99000 100.00500 100.24969 100.04499  99.90495  99.78978 #>  [60894]  99.87993 100.04499 100.17485 100.28460  99.91496  99.95999  99.92998 #>  [60901] 100.00000  99.36800  99.84989 100.00000  99.66444 100.19980  99.69955 #>  [60908] 100.34441 100.01000  99.69453  99.54396 100.35437 100.03499  99.66444 #>  [60915] 100.28958  99.94498 100.16986  99.80982  99.59920  99.46859  99.78477 #>  [60922]  99.95999 100.02000  99.74969 100.12992 100.21477  99.70958 100.03499 #>  [60929]  99.63935 100.13990  99.85990  99.38813  99.78978  99.95999  99.72462 #>  [60936] 100.18483 100.06998  99.81483  99.93998  99.74467 100.56838  99.90495 #>  [60943] 100.00000  99.94498  99.53894  99.74969  99.76472  99.60422  99.70456 #>  [60950] 100.31451 100.30952 100.17984 100.28460 100.36434  99.78978 100.16486 #>  [60957] 100.41414  99.83987 100.38426  99.36800  99.85489  99.71961 100.06998 #>  [60964]  99.63433 100.31451  99.62429 100.42908 100.41414  99.97000 100.09495 #>  [60971] 100.00000 100.25966  99.59418 100.68267 100.30454 100.37928  99.80982 #>  [60978] 100.14490  99.76973  99.48367  99.75971 100.44401  99.49874 100.34939 #>  [60985]  99.67949  99.75971 100.42908 100.60318 100.30952 100.69260 100.04999 #>  [60992]  99.91997  99.92497  99.88493  99.81984 100.37430 100.24470 100.27961 #>  [60999]  99.71459 100.12492 100.00000  99.82485 100.60318  99.80982  99.76472 #>  [61006] 100.04999 100.41912  99.91997  99.64437  99.90996 100.44401 100.39920 #>  [61013] 100.20479  99.72963 100.05998  99.73966 100.49876  99.72462 100.06498 #>  [61020] 100.26465  99.59418  99.71459 100.40916 100.02000  99.92497 100.01000 #>  [61027] 100.27462 100.13990  99.92998  99.99500 100.12492  99.87993  99.99500 #>  [61034] 100.20479  99.98000  99.79479  99.96499 100.12492 100.35437 100.03499 #>  [61041] 100.04999 100.29457 100.10494  99.77976 100.16486  99.96499  99.87993 #>  [61048] 100.30454 100.00000  99.74467 100.29955  99.76973 100.01500  99.98000 #>  [61055] 100.10994 100.49876 100.03000  99.95499  99.86992  99.79479 100.01000 #>  [61062]  99.97000 100.09995  99.91496 100.10994  99.42334 100.03999  99.95499 #>  [61069]  99.54396 100.23971 100.28460 100.09495  99.54898 100.23472  99.65942 #>  [61076] 100.19980  99.73465  99.76973 100.12492  99.65440  99.92497  99.97000 #>  [61083]  99.81483 100.15488  99.94498 100.35935 100.14989  99.51382  99.67447 #>  [61090]  99.50879 100.55347  99.74969 100.47885  99.72462 100.20479 100.06998 #>  [61097] 100.14490  99.42837  99.78978 100.08496 100.59324  99.54396  99.75971 #>  [61104] 100.23472 100.41912  99.92497  99.70456  99.87993  99.77475 100.04999 #>  [61111] 100.03999  99.84488 100.27961 100.43904 100.44401  99.67949  99.96499 #>  [61118] 100.04499  99.95999  99.76973  99.97000  99.98000  99.60422  99.75470 #>  [61125] 100.78194  99.63935  99.87492  99.00000 100.03499  99.73966 100.22974 #>  [61132]  99.85489 100.09495 100.32447 100.28460 100.45895 100.07497 100.17485 #>  [61139]  99.71961 100.06998 100.08996  99.95499 100.44401 100.14989 100.06998 #>  [61146] 100.36434 100.06498 100.57833 100.15987 100.23971 100.02000  99.81984 #>  [61153]  99.48367  99.82986  99.84989  99.84488 100.01500  99.65942 100.08496 #>  [61160]  99.69955  99.50377 100.22475  99.78978 100.10494  99.84989  99.48869 #>  [61167] 100.03000  99.81984  99.57911 100.18982 100.19481 100.56341 100.16486 #>  [61174] 100.65784 100.14490 100.19481  99.37303  99.61928 100.46392 100.04999 #>  [61181] 100.80675 100.24470 100.11493 100.33444  99.64437 100.15488  99.98500 #>  [61188] 100.07497  99.62429  99.85489 100.56341  99.97500  99.94498 100.30952 #>  [61195] 100.33444 100.66777 100.21976 100.28460  99.97000 100.09995 100.12492 #>  [61202] 100.39920  99.92998 100.74721  99.91496 100.34441 100.19481 100.01500 #>  [61209] 100.29457 100.04999  99.99500  99.66945 100.01500  99.48869 100.36434 #>  [61216]  99.75971 100.27462  99.97000  99.46356  99.55401  99.69955  99.77976 #>  [61223] 100.22475  99.70456  99.69955  99.67447  99.75971  99.69955 100.19481 #>  [61230] 100.53855  99.81984  99.87492  99.82485  99.89494 100.12992 100.33444 #>  [61237]  99.92998 100.10994  99.52889 100.38924 100.26465 100.46890  99.76973 #>  [61244]  99.95999 100.33942 100.29955  99.97000 100.05498 100.07997 100.08496 #>  [61251] 100.12492  99.94498 100.25966  99.79980  99.61426  99.76973  99.40825 #>  [61258]  99.98000  99.73966  99.84488 100.07497  99.78978  99.96499  99.83486 #>  [61265] 100.04999  99.69453 100.15987 100.04499 100.09495 100.19481 100.07997 #>  [61272] 100.20978 100.03499  99.88493  99.54396 100.06998 100.22974 100.13990 #>  [61279] 100.50373  99.54898 100.15488 100.14490 100.25966 100.10494  99.85990 #>  [61286]  99.83987 100.13491 100.33942 100.02500  99.46356 100.13990 100.00500 #>  [61293]  99.80982 100.63300 100.06498 100.07497  99.89995 100.13491  99.82485 #>  [61300]  99.83987 100.03999  99.92998  99.94498 100.57833  99.67447 100.12492 #>  [61307]  99.97500  99.68952  99.75971 100.02500  99.94498  99.82485 100.34441 #>  [61314]  99.90495  99.68952 100.46392 100.64790  99.90996 100.28958  99.61426 #>  [61321] 100.08496 100.30952 100.08496 100.51368 100.17485 100.12492 100.21976 #>  [61328]  99.64939  99.64437 100.35935  99.56405 100.13491  99.92497  99.87993 #>  [61335] 100.41414  99.76973 100.60318 100.16486 100.31451 100.22974  99.98500 #>  [61342] 100.29955 100.02000  99.90495 100.19980 100.50871  99.93998  99.78978 #>  [61349]  99.99000 100.20479  99.87492  99.72462 100.56838 100.28460  99.81483 #>  [61356] 100.03499 100.22475 100.22475  99.58414 100.60318  99.87993 100.19980 #>  [61363]  99.54898 100.38924  99.81984 100.14989 100.21976 100.16986  99.63935 #>  [61370] 100.24470 100.04999  99.74969 100.39920 100.36932 100.29457 100.02500 #>  [61377] 100.05998 100.11993  99.68952  99.70958 100.27462 100.22475 100.24470 #>  [61384]  99.91496 100.17984  99.63433  99.68952  99.99500 100.08996 100.14490 #>  [61391]  99.37303  99.81984  99.54898  99.64437 100.25966  99.97000 100.34939 #>  [61398] 100.14989  99.94999  99.47864 100.27961  99.61928  99.83486 100.38924 #>  [61405] 100.31451 100.33942  99.85990 100.23472  99.83486  99.99500 100.14989 #>  [61412] 100.23472  99.63433  99.91496  99.92998  99.63935 100.12492 100.11493 #>  [61419]  99.66444  99.81984  99.81483 100.05998  99.87993 100.83650 100.30454 #>  [61426] 100.14989  99.48367 100.18483  99.82485 100.20978  99.82485 100.19481 #>  [61433]  99.73465 100.05998  99.58916  99.72462  99.79479  99.62931 100.25966 #>  [61440] 100.31451 100.06998  99.89494  99.71459 100.34441  99.61928  99.85990 #>  [61447]  99.97500  99.77976 100.07997 100.26964  99.62931 100.39422  99.79980 #>  [61454]  99.56405 100.08496 100.72239  99.71459  99.87993 100.04499 100.04999 #>  [61461]  99.96499  99.70456  99.66444 100.12492 100.58827 100.09495 100.40418 #>  [61468] 100.49876 100.39422 100.25468  99.53391  99.94999 100.06998  99.89494 #>  [61475]  99.86491  99.51382 100.30454 100.13990  99.84488  99.86491  99.39819 #>  [61482]  99.28243  99.72462 100.23472 100.18483 100.27961 100.17485  99.86491 #>  [61489]  99.98500  99.52889 100.54850 100.17485  99.76973 100.77698 100.18483 #>  [61496] 100.14490 100.01000 100.13491 100.22475  99.40322 100.06498  99.69453 #>  [61503]  99.81483  99.53894 100.20479  99.81984 100.44401 100.69757 100.13990 #>  [61510] 100.07997 100.34441 100.51865  99.70958  99.96499 100.02000  99.93498 #>  [61517] 100.01000  99.89995 100.03000 100.52363  99.35794 100.04999 100.25468 #>  [61524]  99.92998 100.43904  99.88994 100.02000  99.99000  99.45853 100.06498 #>  [61531]  99.87492  99.82485  99.60924  99.70456  99.95499  99.46859  99.93498 #>  [61538] 100.22475 100.36932  99.88493  99.87492 100.08496  99.90495 100.68267 #>  [61545] 100.35935 100.77202 100.33942 100.25966 100.38924 100.09995 100.80675 #>  [61552]  99.82485 100.14989  99.96499 100.05998  99.96499  99.61426 100.03999 #>  [61559] 100.05998  99.88493 100.70253 100.03000  99.92998 100.41912 100.23472 #>  [61566]  99.70456  99.73966  99.71459 100.30952 100.07997 100.03499 100.11493 #>  [61573] 100.41414 100.68764 100.29955 100.23472 100.08496 100.01500 100.20978 #>  [61580]  99.83987  99.98000 100.29955 100.60815  99.58916 100.17984 100.03999 #>  [61587] 100.22475 100.60815 100.19481 100.40418  99.76973  99.90996  99.81483 #>  [61594]  99.53894 100.01000  99.67447  99.88493  99.64939 100.32447 100.16986 #>  [61601] 100.08996  99.99000  99.79479 100.01000 100.21976 100.06998 100.11993 #>  [61608]  99.59920 100.20479  99.84989  99.72462 100.27462  99.94999  99.72963 #>  [61615]  99.72462  99.31264  99.88493 100.65287 100.23971 100.03499 100.43904 #>  [61622]  99.40825  99.77976 100.23971 100.01500 100.11493 100.41414 100.53358 #>  [61629] 100.36434 100.12492  99.75971  99.63935 100.21477 100.22974 100.10994 #>  [61636]  99.42837  99.78477 100.23472  99.56907  99.83987 100.32946  99.80481 #>  [61643] 100.00000  99.54396  99.75971  99.94498 100.26964  99.84488  99.97500 #>  [61650]  99.72462 100.44401  99.75470 100.32946 100.33444  99.63935 100.17984 #>  [61657] 100.23472 100.44899 100.05998 100.23971 100.06498 100.21477 100.11493 #>  [61664]  99.76472  99.65942  99.82485 100.43406 100.41912  99.70958  99.91997 #>  [61671] 100.18483  99.86992 100.21976  99.98000  99.98500 100.09495  99.65440 #>  [61678]  99.51884  99.97500 100.44401 100.19481 100.07997 100.32447 100.06498 #>  [61685] 100.24470 100.53358 100.34441  99.95999 100.24470 100.02500 100.38924 #>  [61692]  99.86992 100.01500  99.71961 100.23472 100.12992 100.09495 100.09995 #>  [61699] 100.32946 100.30454  99.58414 100.67770 100.04999 100.48881  99.86491 #>  [61706]  99.88493 100.61312 100.12492 100.17984  99.77475 100.13990 100.49378 #>  [61713]  99.95999 100.19980  99.63433 100.03000  99.41328  99.62931 100.17984 #>  [61720]  99.95999 100.25468  99.90495 100.29457 100.44401  99.93998 100.26964 #>  [61727]  99.72462 100.07497  99.81984  99.92998 100.04999  99.98000 100.10994 #>  [61734]  99.71961  99.80982 100.12992  99.74467  99.92998 100.03000  99.92497 #>  [61741] 100.04999  99.60422 100.14989 100.14989  99.43339  99.78477 100.36932 #>  [61748] 100.37928  99.81984 100.34939  99.97500  99.68450 100.06998 100.43904 #>  [61755]  99.74969 100.36932 100.52363 100.20479  99.62931  99.84488 100.13990 #>  [61762]  99.87492 100.07497  99.84989  99.52387  99.80481 100.25468 100.01500 #>  [61769] 100.01500  99.64939 100.14989 100.22475  99.97500  99.71961 100.48881 #>  [61776] 100.05498 100.15987 100.23472  99.82986  99.91997 100.39422 100.15488 #>  [61783] 100.12492  99.86491  99.55401  99.72963  99.85489 100.27961 100.02500 #>  [61790]  99.82485 100.07997 100.02000 100.27462  99.98500 100.00000 100.22974 #>  [61797]  99.60924 100.34441 100.60318 100.09995  99.53894  99.81483  99.84989 #>  [61804] 100.33942  99.75470 100.20479 100.42410 100.13491 100.06498  99.97000 #>  [61811] 100.43904 100.37430  99.49874  99.66945  99.85489  99.99000  99.65440 #>  [61818]  99.92497  99.86491 100.63797 100.29955  99.70456  99.91997 100.15488 #>  [61825] 100.49876 100.14490  99.59418  99.63935  99.81984  99.49874 100.12992 #>  [61832]  99.82485 100.18483  99.93998 100.47885  99.76973  99.84989  99.88994 #>  [61839]  99.39316 100.25468 100.11993 100.16986 100.00500 100.17984  99.89494 #>  [61846]  99.95499 100.29457 100.43904  99.69453 100.23472 100.07497  99.77475 #>  [61853] 100.07997  99.72462  99.85489  99.99000 100.49876  99.61928  99.78477 #>  [61860]  99.92497  99.87492  99.99000  99.99000  99.83486  99.87993  99.84488 #>  [61867]  99.61426 100.03999 100.38924  99.76973  99.73465  99.92998  99.90996 #>  [61874] 100.33444 100.14490  99.83486  99.70958  99.64437 100.20978  99.64939 #>  [61881] 100.14989  99.54396 100.03999 100.63300  99.95499 100.07997  99.76472 #>  [61888]  99.59920 100.00000 100.14490  99.60924 100.18982  99.60924  99.44848 #>  [61895]  99.80982  99.92497 100.03499 100.05498 100.06998 100.01500  99.99500 #>  [61902] 100.25966  99.74467  99.91496 100.04999  99.56907  99.78477  99.98000 #>  [61909] 100.13990  99.87993 100.15987 100.09495 100.17485  99.59418 100.17984 #>  [61916]  99.81984  99.60422  99.98500  99.90495  99.92497  99.14131  99.66444 #>  [61923]  99.74969 100.03000 100.63797  99.62931 100.22475  99.88493  99.85990 #>  [61930]  99.99000 100.17984  99.94999  99.94498  99.80481 100.07497  99.76973 #>  [61937]  99.49874  99.66444  99.99500  99.94999 100.39920 100.10494 100.23971 #>  [61944] 100.39920 100.07997  99.57911 100.24969  99.98500  99.74467  99.26228 #>  [61951]  99.63935 100.05998  99.74467 100.03999 100.39422  99.63935 100.28460 #>  [61958] 100.17485  99.91997 100.32946  99.91997  99.93498 100.04499  99.57409 #>  [61965] 100.05998 100.65784  99.90996  99.52387  99.53391  99.99000  99.91496 #>  [61972] 100.19980  99.44345 100.17984 100.00500  99.66945 100.16486 100.31949 #>  [61979] 100.01000 100.25468  99.92497  99.91997  99.61426  99.86992 100.03000 #>  [61986]  99.59418  99.84488  99.85990  99.38813 100.04499 100.14490  99.97000 #>  [61993] 100.15987 100.11993 100.16486 100.01500  99.93498 100.13491 100.03000 #>  [62000] 100.42908  99.90996  99.55903  99.78477  99.98500 100.01500 100.23971 #>  [62007]  99.86992 100.70750 100.66777 100.60815 100.29457 100.17984  99.80481 #>  [62014] 100.07497  99.65440 100.37430  99.85489  99.88493  99.69955  99.74467 #>  [62021] 100.31949 100.09495  99.39316  99.70456  99.41831 100.02000  99.88493 #>  [62028]  99.90996  99.91496 100.16986 100.20978 100.01500 100.39422 100.46392 #>  [62035] 100.27961 100.05998 100.03499 100.54850 100.46392  99.86992  99.79479 #>  [62042]  99.97500 100.27961 100.26964 100.08496 100.15987  99.51884 100.10994 #>  [62049] 100.20978 100.33942  99.99500 100.22475  99.97000 100.11493  99.70958 #>  [62056]  99.98000 100.05498 100.09995 100.06498 100.29457 100.38924 100.05498 #>  [62063] 100.32447 100.15987 100.33444 100.00500  99.79479  99.90495  99.73966 #>  [62070] 100.20978 100.25468  99.67447  99.77976 100.06498 100.17485 100.32447 #>  [62077] 100.22974 100.30454 100.10994  99.75971 100.10494  99.79479  99.91496 #>  [62084] 100.21976 100.26964 100.23472  99.67949  99.80982  99.63935 100.35935 #>  [62091] 100.16486  99.65440 100.31451  99.89995 100.35935  99.90996  99.86491 #>  [62098] 100.20978 100.74721  99.72963 100.32946 100.34441  99.65942  99.92998 #>  [62105]  99.96499 100.22974 100.64293 100.48383  99.94999  99.90996  99.96499 #>  [62112] 100.35437 100.09495 100.04499  99.65942  99.89494 100.21976  99.66444 #>  [62119]  99.86992 100.18483  99.95499 100.02500  99.29250 100.12992 100.67274 #>  [62126]  99.98000 100.25966 100.01000  99.63433  99.56907  99.95499 100.01000 #>  [62133]  99.71459 100.21976  99.82485 100.28958 100.18483 100.73232 100.37430 #>  [62140] 100.00000  99.94498  99.63433  99.78978 100.21976  99.88493 100.42410 #>  [62147]  99.88994 100.07997  99.94498 100.20479  99.83987  99.95499  99.82485 #>  [62154] 100.31949  99.80982  99.94999  99.69453 100.08996  99.56405 100.35437 #>  [62161]  99.92998 100.06498 100.21477 100.20479 100.44401  99.82986 100.26964 #>  [62168]  99.93998 100.18483 100.15987 100.03499 100.26964  99.77976  99.77976 #>  [62175] 100.12492 100.20479 100.10494  99.98000 100.09995 100.12992 100.04499 #>  [62182]  99.75470  99.70958 100.31949  99.73465  99.98500 100.16986 100.51368 #>  [62189]  99.88493  99.86491 100.02500 100.14490 100.36434  99.92998  99.53391 #>  [62196]  99.91496 100.23472 100.19980 100.28460  99.33781  99.79980  99.60422 #>  [62203] 100.33942  99.84989 100.33942  99.66444  99.66444 100.28958 100.06998 #>  [62210]  99.61928  99.94498 100.07497 100.32946 100.10994 100.02000 100.30952 #>  [62217]  99.56405 100.27961 100.35935  99.81984  99.81483 100.15488  99.46356 #>  [62224]  99.33781 100.37430  99.83486  99.91496 100.05998  99.57409 100.17984 #>  [62231]  99.75470  99.63433  99.91997 100.36932 100.09495 100.07497 100.22475 #>  [62238] 100.36932 100.38924  99.61426 100.43406  99.74969  99.86491  99.52387 #>  [62245]  99.61426  99.94999  99.79479 100.05498 100.00500 100.50373  99.62429 #>  [62252]  99.89995  99.74467  99.92998 100.03000 100.33444 100.19980  99.66945 #>  [62259] 100.25468  99.51382 100.07997 100.43904 100.13990 100.36434  99.78477 #>  [62266] 100.09495 100.12992  99.88493 100.31949  99.80982  99.76973 100.20479 #>  [62273]  99.84488 100.29955 100.34939 100.27462  99.89494 100.26964 100.54352 #>  [62280] 100.13990  99.85489 100.01000  99.75470 100.81667  99.80481 100.11993 #>  [62287]  99.51884 100.45397 100.55347  99.93498  99.92998  99.75470 100.06998 #>  [62294] 100.11993 100.40418 100.06998  99.96499 100.04999  99.81984 100.18982 #>  [62301] 100.13491  99.85990 100.11993 100.45397  99.84989  99.78477 100.22974 #>  [62308]  99.70958  99.62429  99.78978 100.06498  99.75470  99.70958  99.53894 #>  [62315] 100.58330 100.13990 100.18483 100.47388 100.00500  99.64437  99.68952 #>  [62322]  99.87993 100.02000  99.75470 100.36434  99.79980 100.38924 100.10994 #>  [62329]  99.97000 100.32447  99.69453  99.81984 100.00500  99.66945  99.99000 #>  [62336]  99.97500  99.66945  99.66444  99.74467  99.92998 100.43904  99.95499 #>  [62343] 100.09995 100.13990 100.04999 100.26964  99.62931 100.26964 100.03999 #>  [62350]  99.36800  99.88493  99.79980 100.13491 100.14989  99.89494 100.13990 #>  [62357]  99.89494  99.56907  99.69955 100.11493  99.50879  99.75971  99.79980 #>  [62364] 100.12992  99.90495  99.95999 100.32946  99.86491 100.07497  99.86491 #>  [62371] 100.14490 100.17485  99.83987 100.31451 100.04999  99.97000  99.49874 #>  [62378]  99.37807  99.70456  99.75971 100.65784  99.79980  99.85990 100.01000 #>  [62385] 100.44401 100.12492  99.80481 100.18483 100.39920 100.23472 100.25468 #>  [62392]  99.95499  99.91997  99.84989  99.86491 100.44899 100.65287  99.69453 #>  [62399]  99.90495 100.07497 100.18483  99.71459  99.92998  99.76472 100.07497 #>  [62406]  99.69453 100.13990 100.60815 100.22475  99.90495  99.99000 100.83154 #>  [62413] 100.65784 100.07497  99.70456  99.84989  99.82986  99.87492  99.87492 #>  [62420]  99.85990 100.04499 100.54352 100.11993 100.57833 100.29457 100.21976 #>  [62427] 100.17485  99.46356 100.19481 100.18982 100.10994  99.64437 100.37430 #>  [62434]  99.94999 100.33942  99.80982 100.02500 100.04999 100.61809  99.77976 #>  [62441]  99.98500  99.87993 100.36434  99.77475 100.00500 100.25966  99.99000 #>  [62448] 100.11993  99.77475  99.75971 100.13990 100.08496  99.57409  99.92497 #>  [62455]  99.83486 100.46392  99.98500 100.07997  99.88994  99.48869  99.69955 #>  [62462]  99.83486 100.11993  99.99000  99.91496  99.99500 100.40418  99.78978 #>  [62469] 100.12492 100.46392 100.55347  99.91496  99.98500 100.25966  99.40825 #>  [62476]  99.98000  99.84488  99.86491  99.96499 100.16486 100.12992  99.70456 #>  [62483] 100.01000  99.89995 100.21976 100.19980  99.89494 100.59324  99.86491 #>  [62490] 100.39920 100.16986  99.83987 100.04499 100.23472 100.14490  99.77475 #>  [62497] 100.20479  99.82986  99.81483  99.80982 100.46890  99.67447 100.16486 #>  [62504] 100.13491  99.93498 100.11993  99.86491  99.66945  99.80982 100.22475 #>  [62511] 100.08496  99.97000  99.35794  99.96499  99.74969  99.94498  99.86491 #>  [62518] 100.02000  99.99000 100.56341 100.40916 100.18982  99.92497 100.45397 #>  [62525]  99.80481  99.93498 100.08496  99.93998 100.01000 100.25966  99.86992 #>  [62532]  99.69955 100.22974 100.47885  99.85990  99.96499  99.87993 100.37928 #>  [62539]  99.86992  99.69453 100.50373 100.27462  99.98000  99.86992 100.45397 #>  [62546] 100.22974 100.46392 100.44899  99.95999 100.12492 100.29457  99.91997 #>  [62553]  99.89995 100.04499 100.11993  99.97500  99.89995  99.60924  99.84488 #>  [62560]  99.98000 100.27961 100.41414 100.16986  99.74467  99.56907 100.05498 #>  [62567] 100.40418 100.03000 100.34441  99.54396  99.62429 100.05498  99.61928 #>  [62574]  99.92998 100.04999  99.56405  99.66945  99.90495 100.27961  99.87993 #>  [62581]  99.32271  99.80481 100.02500 100.00000  99.60924 100.73232 100.64293 #>  [62588] 100.32447  99.60924  99.94498  99.59920 100.30454 100.04999 100.00500 #>  [62595] 100.33444 100.14989  99.80982  99.80982 100.08996  99.94999 100.12992 #>  [62602]  99.75971 100.06998 100.44401 100.21976 100.23971  99.85489 100.48881 #>  [62609] 100.18483  99.86491  99.55401 100.04499 100.25468  99.93998  99.73465 #>  [62616] 100.66777  99.80982  99.83987 100.43406 100.35935 100.03999  99.95999 #>  [62623]  99.92998  99.86491  99.79980  99.58414 100.08996  99.90996 100.45895 #>  [62630]  99.47864  99.74969 100.57833  99.73465 100.21976  99.88994  99.60422 #>  [62637] 100.39422  99.43842  99.74467 100.33444  99.69955  99.78978 100.04499 #>  [62644] 100.24969  99.28746  99.94498  99.59418 100.06998  99.58916 100.32946 #>  [62651]  99.78978 100.34441 100.30454  99.64939  99.49372  99.76472 100.16986 #>  [62658]  99.72963 100.42908  99.81483 100.20978 100.11493  99.98000  99.67949 #>  [62665]  99.83987 100.28460 100.35935 100.36932 100.44401  99.40825  99.92497 #>  [62672]  99.84989 100.44401 100.20978  99.42334  99.74969 100.58330 100.01500 #>  [62679]  99.95999 100.23971  99.95999  99.53391  99.98500 100.05498 100.09495 #>  [62686]  99.73465 100.26964  99.88493 100.06498  99.90495  99.86491 100.16486 #>  [62693] 100.18982  99.78978 100.10994  99.76973  99.62429  99.89494  99.94498 #>  [62700]  99.99000  99.74969 100.37928  99.79980 100.60318 100.39920  99.72462 #>  [62707]  99.49874  99.95999 100.05998 100.11993 100.20479 100.03499  99.47864 #>  [62714]  99.82485  99.48367  99.82485 100.18483 100.73728 100.04499 100.16986 #>  [62721] 100.40916 100.08496 100.21477  99.91997  99.78477  99.93998 100.25468 #>  [62728]  99.46859  99.67949  99.77475 100.22974 100.34939 100.48383 100.31949 #>  [62735] 100.03499 100.13491 100.42410  99.93998  99.91997  99.60924  99.74969 #>  [62742]  99.71961 100.07997  99.85990 100.16486  99.95999  99.88493  99.89995 #>  [62749]  99.97500  99.90495 100.06498  99.49874 100.21477  99.91997  99.79980 #>  [62756]  99.82485 100.34939  99.78477 100.28958  99.57409  99.67949 100.27462 #>  [62763] 100.21976  99.69955 100.10494  99.96499  99.69955  99.66945  99.37303 #>  [62770] 100.01500  99.97000 100.32447  99.89494  99.82986  99.92998 100.40418 #>  [62777] 100.11493 100.12492  99.66444 100.30454 100.31949  99.88994 100.69260 #>  [62784] 100.08996 100.04499  99.87492  99.58916 100.59821  99.86992  99.87492 #>  [62791]  99.56405 100.27462 100.03000 100.04999 100.27462  99.84488 100.22475 #>  [62798] 100.04999 100.09495  99.95999 100.26465 100.18982 100.46890  99.84989 #>  [62805] 100.06498 100.03499  99.97000 100.38426 100.03999 100.19980  99.74969 #>  [62812]  99.52889  99.57911 100.10494 100.21477  99.79479 100.11993 100.23472 #>  [62819]  99.92998  99.88493 100.19481  99.76973 100.39422 100.36932 100.16486 #>  [62826]  99.99500 100.54352  99.40322 100.07497 100.11493 100.19980  99.70456 #>  [62833] 100.25468 100.11993  99.64939  99.70958 100.28460  99.82485 100.37928 #>  [62840]  99.87492 100.19481 100.10494  99.85489 100.23971  99.79980  99.61928 #>  [62847]  99.92497 100.20978  99.69453 100.52363 100.15987  99.48367  99.59418 #>  [62854]  99.70456  99.97500  99.66945  99.64939 100.19481  99.88994 100.07497 #>  [62861] 100.28460  99.90996 100.11493 100.50373 100.34939  99.71961  99.96499 #>  [62868]  99.64437  99.62931  99.76973 100.22974  99.88994 100.08996  99.67447 #>  [62875] 100.51865 100.43406 100.20978 100.17984  99.81984 100.29457 100.20479 #>  [62882]  99.69453 100.53358  99.68952 100.57336 100.25468 100.08496 100.08996 #>  [62889]  99.86491 100.10994 100.57833 100.46890  99.80982  99.99500  99.90996 #>  [62896]  99.63433 100.54352 100.26964 100.19980 100.14490  99.88493 100.21477 #>  [62903]  99.81483  99.84488  99.82485  99.97000  99.58916 100.13491  99.71459 #>  [62910] 100.01000 100.14989 100.27961 100.20479 100.06998  99.91997 100.05998 #>  [62917] 100.39920  99.48869  99.63433 100.17984 100.28460 100.25468 100.22475 #>  [62924] 100.21477  99.58916  99.92497 100.12492 100.02500 100.08996 100.49378 #>  [62931] 100.30952 100.32447 100.60815  99.46859 100.23472 100.00000  99.37303 #>  [62938]  99.97000  99.84488  99.90495 100.14490  99.84488  99.86491 100.03499 #>  [62945] 100.03999  99.99500  99.36297 100.24470  99.79980 100.17984 100.01500 #>  [62952] 100.16986 100.05998 100.12992  99.79980  99.96499 100.25468  99.88493 #>  [62959]  99.62429 100.28460  99.80481 100.24969  99.96499  99.98500 100.04499 #>  [62966] 100.36932  99.85990  99.66444 100.21976  99.91997 100.70253 100.03499 #>  [62973] 100.11493 100.14989  99.54396 100.35935  99.74467  99.91997 100.45397 #>  [62980] 100.05498 100.05998  99.99500  99.67447  99.94999 100.26964  99.94999 #>  [62987]  99.89494 100.02000 100.59324  99.93998 100.09995  99.63935 100.36932 #>  [62994]  99.89494 100.29457 100.22475 100.31949  99.97000  99.57911 100.10994 #>  [63001] 100.46890  99.85489 100.60815 100.18982  99.90996  99.90495 100.41912 #>  [63008]  99.56405  99.89995  99.69955 100.21976  99.95999 100.07997 100.34441 #>  [63015]  99.88493 100.18982 100.47885  99.69955 100.46890 100.32946  99.67949 #>  [63022] 100.45397 100.26465  99.90495 100.16986 100.21976  99.65440 100.16486 #>  [63029] 100.35935  99.63433 100.39422 100.14989 100.16486  99.92998  99.80982 #>  [63036] 100.08996 100.31949 100.20978  99.81984  99.94498 100.22974 100.52363 #>  [63043]  99.88493  99.77475  99.88994  99.95499 100.29457 100.08496 100.37928 #>  [63050] 100.03999  99.90495 100.43406 100.11493  99.97500  99.94498  99.71459 #>  [63057] 100.02000  99.57911 100.12492  99.77976  99.33277 100.21976  99.73966 #>  [63064]  99.49372 100.45895  99.92998  99.85489 100.23971  99.77976 100.03999 #>  [63071]  99.74969 100.40916 100.13990 100.34441  99.61426  99.84488  99.77976 #>  [63078]  99.86491  99.79479 100.36434 100.52363 100.01000  99.60924  99.72963 #>  [63085]  99.95499 100.49876  99.71961 100.44899  99.81483 100.65784 100.05998 #>  [63092]  99.88994  99.62429 100.03499  99.91997  99.45351 100.11493 100.01000 #>  [63099] 100.05498 100.01500 100.35935  99.76472 100.31949  99.57409  99.95499 #>  [63106] 100.22475 100.11493 100.01500  99.67949  99.72462  99.99500  99.73966 #>  [63113]  99.94498 100.03999  99.95999  99.93498  99.98000 100.70253  99.57409 #>  [63120] 100.44401 100.04999  99.62429 100.13990  99.86992  99.68952  99.50879 #>  [63127]  99.72963  99.83987 100.15987  99.73966 100.43406 100.34939 100.09495 #>  [63134]  99.90495  99.48869  99.68952 100.24470 100.11993 100.32447  99.93998 #>  [63141] 100.11993 100.11493 100.01000 100.13491  99.47864 100.03000  99.81483 #>  [63148]  99.69453 100.53358  99.83486  99.78978 100.29955 100.03499 100.46890 #>  [63155] 100.07997 100.10494 100.06498 100.36434 100.16986  99.48367  99.67447 #>  [63162]  99.98000 100.30952 100.16486  99.97500  99.81984 100.03999  99.88994 #>  [63169] 100.03499  99.48367 100.34441 100.16986 100.46890  99.61928 100.19481 #>  [63176] 100.23971 100.17984 100.26964  99.85990  99.90495  99.85990 100.22475 #>  [63183] 100.10494  99.80481  99.71961 100.18483 100.14989  99.39819 100.41414 #>  [63190] 100.24969 100.20978  99.62429 100.17984  99.82485 100.12992 100.04499 #>  [63197]  99.94999 100.13990 100.01500  99.77976 100.05498  99.93998  99.78978 #>  [63204]  99.95999 100.20978  99.86491  99.89995 100.23971 100.70253 100.07497 #>  [63211]  99.78477 100.49876 100.23971  99.90495 100.60318 100.38426  99.67949 #>  [63218] 100.12492 100.02500  99.79479 100.28958 100.24969  99.99500  99.93498 #>  [63225]  99.99500 100.13990  99.68952  99.67949 100.03499 100.29955 100.16486 #>  [63232]  99.54898 100.22475  99.53894 100.29457 100.07997 100.00500  99.93998 #>  [63239] 100.21976 100.03000 100.42410 100.20978  99.41831  99.85990  99.84488 #>  [63246] 100.01500 100.19980 100.21477  99.92998 100.24470 100.02500 100.03000 #>  [63253] 100.18483 100.43406 100.23971  99.67447  99.90996 100.12492  99.91997 #>  [63260] 100.01000  99.88994  99.85489 100.04999  99.92998  99.56405 100.52363 #>  [63267]  99.26228  99.56907 100.55844 100.16986 100.00500  99.67447 100.10994 #>  [63274]  99.85990  99.61426  99.93998 100.09495  99.72462 100.48881 100.35437 #>  [63281]  99.99500 100.24969  99.55903  99.98000 100.34939 100.39422  99.74467 #>  [63288]  99.99500  99.93498 100.18483 100.59324 100.00500  99.91997 100.14989 #>  [63295]  99.95999  99.96499  99.90495 100.18982 100.27961 100.11493 100.16986 #>  [63302] 100.04499  99.63433 100.11493 100.40916 100.25966  99.68450  99.84989 #>  [63309]  99.67949  99.87993  99.55401  99.97000 100.38426  99.91997  99.90495 #>  [63316]  99.71961  99.92497  99.86992 100.21477 100.04499  99.45853 100.18982 #>  [63323] 100.25468 100.01000  99.96499  99.81984  99.82986 100.31451 100.52363 #>  [63330]  99.89494  99.97000  99.70958  99.87492 100.23472  99.71961  99.99500 #>  [63337]  99.96499 100.26465 100.03999 100.31451 100.00000 100.15987 100.10994 #>  [63344]  99.91997  99.74467  99.76472  99.72462  99.69955  99.72462  99.86491 #>  [63351] 100.22475 100.11493  99.37303  99.90996  99.82986  99.94999  99.75971 #>  [63358] 100.07497  99.98000  99.79479  99.74467  99.81483 100.20479 100.00000 #>  [63365]  99.94999 100.43406 100.29955  99.72462  99.67447  99.95999  99.88493 #>  [63372] 100.67770 100.02500 100.17984  99.86491 100.23472 100.02500 100.21477 #>  [63379] 100.15488  99.99000  99.76472 100.02000 100.50373 100.09495 100.18982 #>  [63386]  99.83987  99.84989 100.21477  99.81984  99.52387  99.75470 100.36434 #>  [63393] 100.15987  99.47864  99.97000  99.94999  99.79980 100.18483 100.06998 #>  [63400] 100.19980  99.99000  99.84989  99.85489 100.83650 100.14989  99.65942 #>  [63407] 100.03000  99.67949  99.83987 100.30454 100.34441  99.55903  99.86992 #>  [63414] 100.11993 100.18483 100.05998  99.35794  99.90996  99.98500 100.42908 #>  [63421] 100.09495 100.58330 100.37430 100.10494 100.12992 100.08496  99.88994 #>  [63428]  99.78477  99.37303  99.91997  99.66945 100.27462  99.68450  99.77976 #>  [63435] 100.04499  99.99000  99.66444 100.00000 100.08996 100.15488 100.58827 #>  [63442] 100.13491 100.11993 100.42908  99.80481 100.55844 100.07997 100.31451 #>  [63449]  99.93998 100.30454 100.64790  99.96499  99.99500  99.65942  99.98500 #>  [63456] 100.42908 100.25966 100.10994  99.85990 100.35437  99.93998  99.56405 #>  [63463] 100.17984 100.12992 100.07997  99.50879 100.15987  99.88493  99.57409 #>  [63470] 100.44899 100.03000  99.60422  99.50879 100.56838  99.75971 100.03999 #>  [63477] 100.14490 100.23472  99.50377 100.06498 100.14490  99.92998  99.99500 #>  [63484] 100.08996 100.05498  99.89494 100.14490 100.12492  99.43339  99.79479 #>  [63491] 100.19481  99.74969 100.08996 100.03000 100.26465  99.81984 100.20978 #>  [63498]  99.68952 100.24470 100.06498 100.07497 100.07997 100.35437 100.17984 #>  [63505]  99.90495  99.90996 100.00500 100.22475  99.89995 100.24969  99.84488 #>  [63512]  99.96499 100.25468  99.94498  99.94999 100.35935  99.94999 100.04999 #>  [63519]  99.59418 100.16986  99.70958 100.02000 100.13990  99.65440  99.65440 #>  [63526] 100.32946 100.38426  99.95999  99.43339  99.65942 100.10994 100.04499 #>  [63533] 100.08996 100.31949 100.10994  99.88493 100.03999  99.98500  99.94498 #>  [63540]  99.97500 100.40418 100.10494  99.62931 100.12992 100.25966 100.17485 #>  [63547]  99.81984 100.17984  99.86992 100.24470  99.96499 100.35935 100.40418 #>  [63554]  99.71961  99.60924  99.79980 100.32946 100.25468 100.13491  99.95499 #>  [63561]  99.92998 100.06998 100.00500 100.09495  99.81483 100.60815 100.68267 #>  [63568]  99.89995 100.26465 100.02000  99.71961 100.08996  99.93498  99.64939 #>  [63575]  99.68952 100.12992 100.12492  99.67949 100.59821  99.90996 100.11493 #>  [63582] 100.26964 100.26465 100.46890  99.83987  99.73966 100.12992  99.66945 #>  [63589] 100.07497  99.83987  99.79479 100.03000 100.45895  99.83486  99.69955 #>  [63596]  99.44345  99.71459 100.24969  99.84989 100.05498  99.78477 100.15987 #>  [63603]  99.99000 100.54850 100.23472 100.21976 100.56838  99.77475  99.58414 #>  [63610] 100.02000  99.67447  99.95999 100.41912 100.33444 100.18483  99.84488 #>  [63617]  99.69453  99.66945  99.22701  99.34284  99.29753  99.97500 100.28958 #>  [63624]  99.58916 100.37430 100.14490 100.64790  99.26228 100.26964  99.65440 #>  [63631] 100.76210  99.77976  99.69955 100.30952 100.04999 100.04999  99.98000 #>  [63638] 100.20978 100.23472  99.93998  99.76472  99.79479  99.98500  99.75971 #>  [63645] 100.18982  99.99000 100.65784  99.91496  99.84488  99.96499 100.18982 #>  [63652]  99.64939 100.20978  99.82986  99.90495  99.89494 100.03999  99.79980 #>  [63659] 100.29457  99.22197  99.61426  99.85489 100.56838  99.75971 100.13990 #>  [63666] 100.20479 100.00000 100.17984  99.67447 100.39422 100.31451  99.98500 #>  [63673]  99.94999 100.23472  99.84488  99.68450 100.31949 100.51865  99.62931 #>  [63680] 100.04499  99.89494 100.17984 100.72239 100.14490 100.01500 100.37928 #>  [63687]  99.65942  99.69955  99.80481 100.22974  99.69453  99.97000  99.80481 #>  [63694] 100.18483 100.57336  99.68450  99.74467 100.17984  99.91997 100.00500 #>  [63701]  99.88493 100.64790  99.86491 100.14989  99.44848 100.22475 100.37430 #>  [63708] 100.08996  99.36800  99.86992  99.85489 100.17485 100.21976 100.01000 #>  [63715] 100.10994 100.04999  99.82986  99.84488  99.92497 100.29457  99.97000 #>  [63722]  99.82986  99.91496  99.70958 100.12492  99.98000 100.62306 100.25468 #>  [63729] 100.21976  99.65942  99.98000  99.64437 100.06998 100.14989  99.62931 #>  [63736] 100.14490 100.51368 101.00000 100.06498 100.66777  99.84488 100.14490 #>  [63743] 100.03499 100.40418  99.99000  99.75971 100.33942  99.91496 100.25966 #>  [63750]  99.76472  99.98500  99.72963 100.04999 100.32946 100.18483 100.06498 #>  [63757] 100.17485 100.40418  99.75470  99.82986 100.11993  99.46356 100.26465 #>  [63764] 100.32447 100.69757  99.53894  99.39819 100.17485  99.66444  99.54396 #>  [63771]  99.76973 100.05998 100.48383  99.68952 100.29457 100.32447 100.06998 #>  [63778]  99.85990  99.66444  99.88493  99.78477  99.83987 100.20479 100.19980 #>  [63785] 100.03999  99.95999  99.95999  99.50879 100.42908 100.07997  99.62931 #>  [63792] 100.12992  99.92497  99.42837 100.57833 100.10494  99.70456 100.31949 #>  [63799] 100.24470  99.75470 100.11993 100.02500 100.33942 100.03000  99.72462 #>  [63806] 100.39920 100.11993 100.35437 100.05998  99.76973  99.65440 100.00500 #>  [63813] 100.50373 100.41414 100.15488 100.00000 100.33942  99.83486  99.75971 #>  [63820]  99.53894 100.30454 100.14490 100.12492 100.31949  99.84989  99.95499 #>  [63827]  99.73465  99.49372  99.72462 100.38426  99.82485 100.02500 100.21976 #>  [63834]  99.71459  99.81984 100.62306 100.10994  99.21693  99.86491 100.55844 #>  [63841] 100.48881 100.03499 100.18483 100.14989 100.21477  99.46356  99.83486 #>  [63848] 100.16486 100.09995 100.24470 100.02000 100.52860 100.34441 100.35935 #>  [63855]  99.88493 100.00000  99.67447  99.69955  99.71961 100.13990 100.10994 #>  [63862]  99.35291 100.05498  99.98500 100.56838 100.08996  99.76973 100.13990 #>  [63869]  99.56907 100.20978 100.70253  99.95999  99.51382  99.95499 100.24969 #>  [63876]  99.82986 100.14989 100.48383  99.90495  99.48367 100.24470  99.40825 #>  [63883] 100.01500 100.40418 100.19481 100.35437  99.88493 100.31451 100.25966 #>  [63890] 100.26465 100.44899  99.96499 100.25966 100.24470  99.88493 100.04499 #>  [63897] 100.11493 100.06998 100.36434 100.44401  99.92998 100.32447 100.03499 #>  [63904]  99.73465 100.30454  99.42837 100.44899 100.03499  99.61426 100.05498 #>  [63911]  99.43842  99.90996 100.24470 100.32447 100.31949 100.26964  99.79980 #>  [63918]  99.84989 100.17485  99.87993 100.47885  99.55903 100.06998 100.25966 #>  [63925] 100.23971  99.85489  99.59418  99.69955 100.10494  99.99000  99.86491 #>  [63932]  99.86992  99.52387 100.29457  99.89995  99.66444  99.92998  99.57409 #>  [63939]  99.82485  99.64437 100.13491 100.45895  99.66945  99.80481  99.91997 #>  [63946]  99.80481  99.95499 100.05498  99.98500  99.42334 100.02000 100.29955 #>  [63953] 100.22475  99.68450  99.75971 100.03000  99.90996 100.57336  99.77475 #>  [63960] 100.24470  99.62429 100.03499  99.66945 100.26964  99.60924 100.32946 #>  [63967]  99.76973  99.86992 100.55347 100.05998  99.53894  99.72462 100.14490 #>  [63974] 100.67770  99.51382 100.37928 100.13491 100.14490 100.02500 100.15987 #>  [63981] 100.20978 100.46890  99.90495  99.88493  99.37303 100.14989  99.42837 #>  [63988]  99.90495 100.32447  99.76973  99.76973 100.54850  99.79980  99.53894 #>  [63995] 100.21976  99.75470 100.06498 100.43406  99.66945 100.03999 100.35437 #>  [64002]  99.79980  99.51884  99.96499  99.77475 100.45397  99.94999 100.20479 #>  [64009] 100.31451 100.02500  99.98000  99.79980 100.08996 100.28958  99.71961 #>  [64016]  99.42334 100.07497 100.15488  99.49874  99.79980 100.17984  99.93998 #>  [64023]  99.82986 100.49378  99.92998 100.23971 100.04499  99.62429  99.92998 #>  [64030] 100.21976 100.29955  99.99500  99.79479  99.51382  99.32774  99.92497 #>  [64037]  99.76472  99.72963  99.82986 100.30454 100.34441  99.80481 100.43904 #>  [64044]  99.42334 100.28958 100.03999 100.05998 100.34939  99.99000 100.37928 #>  [64051]  99.86491  99.50879  99.87993 100.21477 100.19481 100.01500  99.56405 #>  [64058] 100.38426 100.20978 100.50871  99.97500  99.71459  99.99000  99.72963 #>  [64065] 100.24969  99.93998 100.29955  99.92998 100.24470 100.41912 100.07997 #>  [64072]  99.97500 100.29955 100.78194  99.50879 100.28460  99.88493  99.81483 #>  [64079] 100.22475  99.59920 100.13491  99.77475 100.60815 100.03999  99.78477 #>  [64086]  99.92998  99.84488  99.80481  99.91997  99.72963  99.66444  99.93498 #>  [64093]  99.74969 100.15488  99.71961  99.62931  99.90495 100.10494 100.35437 #>  [64100]  99.95999 100.48881 100.07997 100.03999  99.78978  99.61426 100.09995 #>  [64107]  99.75470 100.10994 100.09495 100.35437  99.92998 100.00500 100.12992 #>  [64114]  99.60422  99.45853 100.08496  99.87492 100.23472 100.27961 100.04499 #>  [64121] 100.38924 100.33942 100.17984  99.94999  99.87492  99.62429 100.36932 #>  [64128]  99.82485  99.42837  99.69955  99.99500 100.00500  99.99500  99.92497 #>  [64135] 100.42908 100.10494  99.78978  99.83486  99.95999 100.01000  99.86491 #>  [64142]  99.55401  99.99500 100.52363  99.48869  99.55903  99.88994 100.12492 #>  [64149] 100.22475  99.76973  99.57911 100.03999  99.48869  99.88493  99.95999 #>  [64156] 100.04999 100.25966 100.22475  99.73966 100.24969 100.30454 100.13990 #>  [64163] 100.57336  99.66945  99.47864  99.76472 100.08996 100.21477 100.26964 #>  [64170] 100.56838  99.99000  99.98500 100.18982  99.84488  99.80982  99.43842 #>  [64177] 100.13990  99.80481 100.17485  99.71961 100.35935  99.70958 100.39920 #>  [64184] 100.52860  99.94498  99.99000  99.60924  99.84488  99.87492  99.94999 #>  [64191] 100.37928  99.90996  99.80982  99.85990 100.32946 100.16986  99.61426 #>  [64198]  99.57911  99.55903  99.76472 100.63300 100.01500  99.96499 100.22974 #>  [64205]  99.91496 100.08996 100.76706  99.56907 100.43904 100.19481  99.97500 #>  [64212]  99.55903 100.59821 100.22475 100.19980  99.47864 100.09495  99.82986 #>  [64219]  99.54396  99.92497  99.39316  99.94498 100.18982  99.52889  99.85990 #>  [64226] 100.12492  99.78978  99.88994 100.82162  99.92998  99.90495  99.97000 #>  [64233] 100.09995  99.65942  99.64437 100.28958 100.07997 100.58827 100.00500 #>  [64240] 100.00500  99.82485 100.33444 100.30454 100.09995 100.15987  99.71459 #>  [64247] 100.77698  99.70958  99.65440  99.71459 100.10994 100.17485  99.70456 #>  [64254] 100.31949 100.27462 100.17984 100.01000 100.05498  99.70958 100.26964 #>  [64261]  99.79479  99.80481  99.71459  99.70456 100.33942 100.01500 100.11493 #>  [64268] 100.29457 100.48383  99.80481 100.06498  99.63935  99.85990 100.23971 #>  [64275] 100.26465  99.59418 100.21477  99.78978 100.15987  99.78978 100.11493 #>  [64282]  99.66444  99.72462 100.21976 100.34939 100.17485  99.99000 100.04999 #>  [64289]  99.70456 100.08996 100.06498 100.29457  99.67447  99.84989 100.42908 #>  [64296] 100.24969  99.69955  99.88493 100.26465  99.92998  99.87993  99.75971 #>  [64303] 100.56838 100.43904 100.32946  99.94999  99.36297  99.88493 100.21477 #>  [64310] 100.29955  99.88994 100.32447 100.07497 100.16486 100.06498  99.76973 #>  [64317] 100.00500  99.74467  99.91997  99.86491 100.13491  99.78978 100.07997 #>  [64324]  99.94498 100.22974 100.12492  99.62429  99.82485  99.49874 100.14989 #>  [64331] 100.46890  99.84989 100.09495  99.65942 100.26964  99.43842  99.93998 #>  [64338] 100.00500  99.63935  99.93998 100.69757 100.44401  99.92497  99.72462 #>  [64345] 100.02000 100.14490  99.81984  99.83987  99.51884 100.30454  99.90996 #>  [64352] 100.37928 100.13491  99.92998  99.80982  99.97500 100.19980 100.23472 #>  [64359]  99.94999 100.40418  99.97500 100.26465 100.22974  99.76973  99.99000 #>  [64366] 100.24969  99.55903 100.02500 100.52860 100.34939 100.00500  99.57911 #>  [64373]  99.85489  99.82485 100.32946  99.98500 100.47885 100.08996  99.79479 #>  [64380]  99.74467  99.94999  99.93998  99.65440  99.98500  99.70958 100.36932 #>  [64387]  99.82485  99.53391 100.03999  99.96499  99.53894 100.04499  99.70958 #>  [64394]  99.80481 100.34939  99.30257 100.42410  99.65440 100.73232 100.54352 #>  [64401]  99.69453 100.15488 100.03000  99.85990  99.92497  99.67949 100.13491 #>  [64408] 100.15987 100.18483 100.35935 100.06498  99.84989 100.22974 100.87616 #>  [64415] 100.49378  99.72462 100.14989  99.58414 100.21976  99.50879  99.72963 #>  [64422]  99.72963 100.36434  99.68952  99.97500  99.78978  99.62429 100.49876 #>  [64429]  99.88493 100.15987  99.74969  99.78978  99.93998  99.63935 100.18483 #>  [64436] 100.25468 100.04999 100.05498 100.66280 100.17984  99.86491 100.03000 #>  [64443] 100.19980 100.04999 100.40916 100.13491  99.90495  99.78978  99.81984 #>  [64450]  99.55401 100.20479  99.91997  99.93498 100.24470  99.87993  99.97500 #>  [64457] 100.15488  99.27739 100.48383  99.90996 100.02000  99.66444 100.59821 #>  [64464]  99.69955  99.89995 100.28958 100.12992 100.03000 100.04499 100.12492 #>  [64471] 100.13491 100.22475 100.15987  99.74969  99.38310  99.54898 100.33444 #>  [64478] 100.67274 100.17485  99.99000 100.12992 100.17984  99.93998 100.15987 #>  [64485]  99.59920 100.09495  99.51382 100.36434  99.93998 100.04999  99.70456 #>  [64492]  99.54898  99.91496 100.21477  99.67949  99.82485  99.17661 100.18483 #>  [64499] 100.41912  99.94999 100.25966 100.34939  99.97500  99.81984  99.84989 #>  [64506]  99.86992 100.08496  99.81984  99.47361  99.82986 100.46392 100.36932 #>  [64513] 100.15987 100.17485  99.83987 100.12992  99.92998  99.79479  99.88493 #>  [64520] 100.18982 100.25966  99.99500 100.02000  99.98000  99.93498 100.04499 #>  [64527] 100.37928 100.80179  99.55903 100.23971 100.48881  99.40322  99.56405 #>  [64534] 100.14989  99.97000  99.75470  99.63433  99.87492 100.16986 100.25468 #>  [64541]  99.62931  99.87993  99.90996  99.72963 100.04499  99.96499 100.33444 #>  [64548]  99.78978 100.07497  99.89494  99.71459  99.78477 100.43406  99.88493 #>  [64555]  99.95999  99.61928 100.02500 100.45895 100.02000 100.27462 100.10994 #>  [64562] 100.38924 100.15488  99.62931 100.28958 100.03000  99.90495  99.95999 #>  [64569] 100.10494  99.49372 100.32447 100.16986  99.94498  99.70456  99.90996 #>  [64576] 100.63797  99.99000  99.70958  99.98500  99.53391 100.68764  99.85990 #>  [64583]  99.85489 100.01000 100.04499  99.78978 100.15488  99.97500  99.88994 #>  [64590] 100.46890  99.76973  99.68450 100.49876  99.99500 100.58827 100.03000 #>  [64597] 100.51368  99.41328  99.25724  99.88493 100.18483  99.87993  99.52387 #>  [64604]  99.70958  99.69955  99.56907  99.61928 100.24969 100.34441 100.31451 #>  [64611]  99.65440  99.95999 100.18982 100.21477  99.84989  99.79479 100.14490 #>  [64618] 100.14989  99.96499 100.40916  99.67447 100.23472  99.81984 100.34441 #>  [64625]  99.93498 100.05498  99.98500 100.06498  99.70456 100.17485 100.18483 #>  [64632] 100.39920 100.21976  99.86992  99.84989 100.06998 100.01500  99.80481 #>  [64639] 100.43406  99.93998 100.07497  99.48367  99.91496  99.56907 100.37928 #>  [64646]  99.99000 100.49876 100.39422 100.41912 100.00000 100.41912  99.97000 #>  [64653] 100.43406 100.23971  99.75971  99.97000  99.92497 100.14490 100.01000 #>  [64660]  99.89995 100.11993 100.05998 100.28958 100.28958  99.89494 100.18982 #>  [64667]  99.74467  99.72462 100.16486 100.11493  99.62931 100.18982  99.79479 #>  [64674] 100.31451 100.46890  99.81483  99.93498 100.27961  99.50377 100.23971 #>  [64681] 100.13990 100.11493  99.97000 100.09495 100.38924  99.50377  99.79980 #>  [64688] 100.07997  99.68952 100.02500 100.03499 100.20479  99.67949 100.39422 #>  [64695]  99.92497  99.59920 100.09495  99.94498  99.68952  99.45853 100.18982 #>  [64702] 100.13491 100.24969 100.21976  99.87993  99.92998  99.62931 100.40916 #>  [64709]  99.97000  99.74969 100.14989 100.15488  99.87492 100.48383  99.91496 #>  [64716]  99.71459 100.39920 100.74721  99.80481 100.13491 100.09495  99.58916 #>  [64723]  99.74969 100.44899  99.94498  99.38813 100.00000  99.94999 100.23472 #>  [64730] 100.10994  99.84488 100.21477 100.20978  99.45351  99.73465  99.75971 #>  [64737] 100.05998 100.79683 100.35935  99.53894  99.88994  99.85990 100.03499 #>  [64744]  99.85489 100.24470  99.90996  99.81483  99.73465 100.08496  99.89494 #>  [64751]  99.87993 100.40916 100.17485  99.64939 100.03000  99.92998  99.94498 #>  [64758]  99.65440 100.21477 100.02500  99.40825  99.30257 100.31451 100.16986 #>  [64765]  99.90996  99.86491  99.82986 100.70253  99.64437 100.20479 100.28958 #>  [64772]  99.93998  99.77976 100.37430  99.76973  99.93498  99.24717  99.68952 #>  [64779]  99.88493  99.95499  99.83987  99.80982 100.16486  99.58414 100.44401 #>  [64786] 100.00000  99.98500 100.17485 100.45895  99.56405  99.96499 100.09495 #>  [64793] 100.04999  99.66444  99.92998 100.02500 100.47388  99.90996 100.32447 #>  [64800]  99.83987 100.11493  99.51884  99.56907  99.81483 100.36434  99.80481 #>  [64807]  99.79980  99.99500  99.93498 100.41912  99.66444 100.06998 100.06498 #>  [64814]  99.61426 100.40418 100.10994  99.87993  99.72963  99.88493  99.84989 #>  [64821]  99.42334 100.17485  99.81984  99.77475 100.42908 100.02000  99.90996 #>  [64828] 100.35935  99.69453 100.68764 100.05498  99.46859 100.42908  99.95499 #>  [64835]  99.75470  99.84989  99.84488 100.36932 100.26465  99.68952  99.78477 #>  [64842] 100.32946 100.21976 100.60318  99.91496 100.25468  99.83987 100.09495 #>  [64849]  99.72963 100.27462 100.13990  99.86992 100.18483 100.29457 100.23971 #>  [64856] 100.20479  99.82986 100.06998  99.99000  99.99500 100.10494  99.94999 #>  [64863] 100.16486 100.20978 100.02000 100.11993  99.41831 100.08996 100.07497 #>  [64870] 100.08996  99.74969  99.57911 100.25966  99.58414 100.06998  99.62429 #>  [64877]  99.79479  99.56907  99.67447 100.18483  99.88493  99.90495  99.52387 #>  [64884]  99.46356 100.02000 100.30454  99.90495 100.12492  99.72963 100.04999 #>  [64891]  99.98500 100.13990  99.91997  99.73966 100.24470 100.32946 100.34939 #>  [64898]  99.97000 100.30952 100.18483 100.11993 100.14490  99.94999 100.00000 #>  [64905]  99.74467  99.87993  99.74969 100.17984 100.06998  99.55903  99.82485 #>  [64912]  99.93498 100.23971  99.84488  99.65942 100.34939  99.78477  99.80481 #>  [64919]  99.87492 100.36434  99.84488  99.87993  99.87492 100.13990 100.10494 #>  [64926]  99.73465 100.11993 100.15488 100.54850 100.21477  99.97500 100.10494 #>  [64933] 100.57336 100.07497  99.87492  99.86491 100.15488 100.01000  99.97500 #>  [64940] 100.42908  99.73966 100.31949  99.97000  99.66945 100.18982  99.45351 #>  [64947]  99.86992 100.21976  99.99000 100.35437  99.88994 100.04999 100.02000 #>  [64954] 100.47388 100.02500  99.82485 100.36932 100.09495  99.50879 100.36932 #>  [64961] 100.05998 100.25468  99.61426 100.21976  99.44345 100.17984  99.90495 #>  [64968] 100.18483 100.14989  99.52387 100.16986  99.99500 100.06498 100.17984 #>  [64975] 100.03499  99.81984  99.97000  99.87492 100.14989  99.94999  99.71459 #>  [64982] 100.09495 100.03499 100.28958 100.32447 100.50373 100.02500  99.99500 #>  [64989] 100.43904  99.89494  99.76973  99.98000  99.88493 100.16486 100.08996 #>  [64996]  99.86491  99.67447  99.72963 100.20978 100.22974  99.81483 100.34939 #>  [65003]  99.95499  99.64437  99.85990 100.67274 100.03499 100.00500  99.95499 #>  [65010] 100.22475  99.92497 100.19980  99.70456 100.12492 100.04499  99.82485 #>  [65017]  99.88493  99.98000 100.04999 100.27462  99.88493  99.90495 100.23472 #>  [65024] 100.06498  99.68450  99.83486 100.32447  99.79980 100.23472  99.68450 #>  [65031] 100.27462  99.88493 100.16486  99.76472 100.54850 100.63300 100.23971 #>  [65038]  99.88994 100.23472  99.95999 100.28958 100.25966 100.03000 100.31949 #>  [65045]  99.78477 100.26964 100.87616 100.46392 100.03999 100.19481 100.00000 #>  [65052] 100.06998  99.89494 100.45895  99.65440 100.27462  99.93998  99.83486 #>  [65059] 100.49378  99.48367 100.09495  99.92497  99.97500  99.95999  99.97500 #>  [65066]  99.82485  99.74969  99.80481  99.79479 100.09495 100.03999 100.28460 #>  [65073]  99.84488  99.62931 100.30952  99.67949 100.17485 100.00500 100.47388 #>  [65080] 100.46890  99.70456 100.12492 100.04999 100.19980  99.95499  99.99500 #>  [65087]  99.88994  99.99500  99.70456  99.79980  99.21189 100.21477 100.01000 #>  [65094]  99.92497  99.97000 100.30952 100.12492  99.57409 100.25468 100.56341 #>  [65101] 100.14989  99.57911 100.12992 100.07497  99.77475 100.33444 100.42908 #>  [65108]  99.80481 100.41912 100.03000  99.62429  99.82485 100.22475 100.16986 #>  [65115]  99.86491  99.96499 100.14490  99.67447 100.06998 100.04999  99.60924 #>  [65122] 100.06498  99.68450  99.89494 100.16986  99.62931 100.07497 100.34939 #>  [65129]  99.85990  99.81984  99.43339  99.98000  99.76973 100.36932 100.17485 #>  [65136] 100.35935 100.37430  99.62429 100.03499  99.89494 100.34939 100.21477 #>  [65143] 100.00500 100.17485  99.83486 100.06998 100.03000  99.80982  99.71961 #>  [65150] 100.32447  99.49874  99.78477  99.90996 100.01000  99.95999 100.11993 #>  [65157]  99.60924  99.76472 100.54850 100.34939 100.05498 100.02000  99.98500 #>  [65164]  99.55401 100.70750 100.09995 100.09495 100.67274 100.53358  99.52387 #>  [65171] 100.28958  99.74467 100.31451 100.14490 100.06498 100.19980  99.84488 #>  [65178] 100.01500  99.98500 100.10994 100.04999 100.15987 100.09995 100.43904 #>  [65185] 100.40916 100.70253  99.86491 100.45397 100.08496  99.94999 100.33942 #>  [65192]  99.88994 100.22475 100.00000  99.61928 100.49378  99.82986 100.35935 #>  [65199] 100.00000 100.20978  99.83486  99.68450  99.89995  99.78477  99.34284 #>  [65206]  99.95499  99.90495  99.99000 100.17485  99.76472  99.46356  99.55401 #>  [65213] 100.20479  99.72963  99.79479  99.91496 100.28958  99.71961  99.62931 #>  [65220]  99.93998 100.23971 100.57336 100.64293 100.00000  99.86491  99.30760 #>  [65227] 100.19980 100.25966 100.31949  99.97000  99.67949  99.82485 100.34441 #>  [65234]  99.63935  99.30257 100.09495 100.02500 100.31949 100.03000 100.13990 #>  [65241] 100.01000  99.86491  99.52387  99.86992  99.89995  99.77976 100.62803 #>  [65248] 100.03000  99.94498  99.64939 100.25966 100.38924 100.29955 100.13491 #>  [65255] 100.23971  99.82485 100.07497  99.94999 100.00000 100.08996  99.95499 #>  [65262]  99.96499  99.67949 100.34441  99.66945 100.04999 100.13990  99.80481 #>  [65269]  99.78477  99.71961 100.39920 100.20978 100.45397 100.64790  99.77475 #>  [65276] 100.17984 100.09995  99.59920 100.00500  99.21189 100.24470  99.89494 #>  [65283] 100.09995 100.10994  99.79980 100.01500  99.77976 100.15488 100.47388 #>  [65290]  99.84488 100.09995 100.52860  99.30257 100.37928 100.08996  99.85990 #>  [65297] 100.03499 100.16986 100.40418  99.80481  99.97500  99.61426 100.25468 #>  [65304]  99.71459  99.87492  99.76973 100.06998 100.44899  99.56907 100.44401 #>  [65311] 100.04499  99.63433  99.86491 100.64293 100.06998 100.04499  99.98000 #>  [65318] 100.21976 100.08496  99.64939  99.76472  99.98000 100.03999 100.10494 #>  [65325] 100.03999 100.16486 100.25468 100.12992 100.18483 100.03000  99.67949 #>  [65332] 100.11493 100.27462 100.15987 100.03999 100.22974 100.41912 100.65287 #>  [65339] 100.31949  99.32774 100.02500 100.29955  99.44848 100.06998  99.68450 #>  [65346] 100.25468 100.07497 100.01000  99.68450  99.66444 100.28460  99.28746 #>  [65353]  99.57911  99.89995  99.70456 100.11993  99.59418 100.07497  99.83486 #>  [65360] 100.20479  99.91496  99.91997 100.06998  99.57911  99.95499  99.68952 #>  [65367]  99.91997 100.28460 100.12992 100.34441 100.04999 100.06998 100.18483 #>  [65374]  99.52889  99.89995  99.70958 100.48881  99.99500  99.74467  99.25724 #>  [65381] 100.02500 100.36434 100.66777  99.77475  99.77475  99.66444 100.29457 #>  [65388] 100.50373  99.89494 100.04999  99.43842  99.96499 100.08996 100.04499 #>  [65395] 100.55844  99.79980  99.89995  99.84989 100.03000 100.02500 100.26465 #>  [65402] 100.13990  99.72462 100.02500  99.51382 100.24969 100.05498 100.20978 #>  [65409]  99.98500 100.40916 100.05498 100.13990 100.09495  99.89995  99.99000 #>  [65416]  99.89494 100.13990  99.75971  99.86992 100.56341  99.44345 100.08496 #>  [65423]  99.78477 100.27961  99.85990 100.51865 100.59821  99.98500  99.48869 #>  [65430]  99.80481 100.18483 100.00000  99.51884  99.54898  99.86992 100.03999 #>  [65437] 100.12492 100.17984  99.64939 100.02000  99.94498 100.12492  99.80481 #>  [65444] 100.10494 100.19481 100.12492 100.07497  99.89494  99.42837  99.70456 #>  [65451] 100.25468 100.13990  99.99500 100.07997 100.00000  99.58414 100.06498 #>  [65458] 100.11493 100.28958 100.06998  99.41831  99.82485  99.73966  99.59920 #>  [65465]  99.96499 100.19481  99.45853  99.81984 100.20479  99.68952  99.91496 #>  [65472]  99.80481  99.89494 100.25966  99.81483  99.75971  99.50879  99.32774 #>  [65479]  99.76973  99.89494  99.69453  99.52889  99.86992 100.21477  99.41328 #>  [65486]  99.84488 100.39422 100.45397  99.43842 100.58330 100.03499 100.27961 #>  [65493] 100.45895  99.85489 100.13491 100.05498  99.78978  99.95999  99.97500 #>  [65500] 100.03499  99.88994  99.81984 100.00000  99.81483  99.37303  99.95499 #>  [65507]  99.63433 100.30454  99.57911  99.82986 100.45895  99.99000  99.29753 #>  [65514] 100.14989  99.92998 100.20978  99.89995  99.90495 100.16486  99.84989 #>  [65521]  99.57911 100.03999  99.77976 100.26964  99.58414 100.42908  99.96499 #>  [65528] 100.05498 100.05998 100.30454 100.02000  99.98500  99.95499 100.16986 #>  [65535] 100.19980  99.76973 100.15488 100.40916  99.78978 100.01500  99.91496 #>  [65542] 100.02000 100.22475  99.86491  99.66444  99.80481  99.86491 100.34441 #>  [65549] 100.34939 100.14989 100.28460  99.90495  99.95999  99.80982  99.61426 #>  [65556] 100.18982  99.97500 100.18483  99.96499  99.61426  99.83987  99.76472 #>  [65563] 100.03499 100.04499 100.42410 100.50871 100.22475 100.37928  99.94999 #>  [65570]  99.75971 100.18982 100.08996  99.66945  99.72462  99.95999  99.97500 #>  [65577]  99.37807 100.10994 100.34441 100.24470 100.04999  99.68952 100.28460 #>  [65584] 100.00500  99.79980  99.68952  99.70958 100.52363 100.38924 100.47885 #>  [65591] 100.13990 100.86129  99.73465 100.61809  99.55401 100.31451 100.26964 #>  [65598]  99.98000 100.10994 100.21976  99.81984  99.57409  99.82485 100.22475 #>  [65605] 100.07997  99.95499  99.86992 100.09495  99.87492  99.61426  99.74467 #>  [65612] 100.49876 100.35935 100.36434 100.31451  99.39819 100.15488  99.73966 #>  [65619] 100.04999  99.69453  99.80481 100.20978 100.31949  99.58414 100.06998 #>  [65626]  99.87492 100.03000  99.64437  99.77976 100.21477  99.64437 100.49378 #>  [65633]  99.47361  99.87492  99.65942  99.79479  99.97500  99.70456 100.09995 #>  [65640]  99.86491  99.37807 100.18483  99.66945  99.48869  99.82485 100.28958 #>  [65647]  99.92998  99.65942  99.86992 100.00000  99.91997  99.95499 100.13491 #>  [65654]  99.76472  99.65440 100.37430 100.18483 100.12992  99.97000  99.75971 #>  [65661] 100.09495 100.22974 100.13491  99.69453 100.70750  99.79479 100.22475 #>  [65668] 100.07497  99.72963 100.09495  99.30760  99.84989 100.10994 100.26964 #>  [65675] 100.17485 100.20978 100.03000 100.42410  99.80982 100.12992 100.16986 #>  [65682] 100.19980 100.61312 100.14989 100.16486  99.89995  99.52889  99.99500 #>  [65689]  99.96499  99.97500 100.02500  99.80982  99.84488 100.13990 100.00000 #>  [65696] 100.17984  99.83486 100.14989 100.26465 100.35935  99.92998  99.40825 #>  [65703]  99.48869 100.27462  99.76472  99.37303  99.93998 100.00500  99.53894 #>  [65710] 100.48383 100.26465 100.34441  99.74467  99.99500 100.05998 100.26964 #>  [65717] 100.00000  99.99500 100.09495  99.83987  99.29753  99.99500 100.24470 #>  [65724]  99.94498  99.84989  99.83486 100.56341  99.56907  99.74467  99.56907 #>  [65731]  99.84488  99.79479 100.29457  99.63935 100.02500 100.20978  99.74969 #>  [65738] 100.39920 100.17984  99.98500 100.58827  99.66444 100.29457 100.26465 #>  [65745]  99.88493 100.39920  99.92998 100.08996  99.99500 100.63300 100.04999 #>  [65752] 100.38426 100.25468 100.03000  99.89494  99.72462  99.86491 100.03000 #>  [65759]  99.72462 100.10994 100.54352 100.14989  99.54396  99.70958  99.65942 #>  [65766]  99.43842  99.75971  99.77475 100.08996  99.95999  99.67949 100.16486 #>  [65773]  99.85489 100.35437 100.18483  99.84989  99.84488  99.88994 100.28958 #>  [65780] 100.32946 100.11493 100.02000  99.60924  99.90996 100.37430 100.41912 #>  [65787] 100.00500 100.08996  99.41328 100.47885  99.64939 100.12492 100.00000 #>  [65794] 100.22974 100.20978  99.80982  99.69453  99.33277 100.24470  99.72462 #>  [65801]  99.95499 100.01500  99.89494  99.66945  99.95499  99.66945  99.65440 #>  [65808]  99.58916 100.03499  99.70456 100.35437 100.00000  99.52387 100.46392 #>  [65815]  99.92998  99.92998  99.97500  99.79479 100.12992 100.58330  99.77976 #>  [65822]  99.51382 100.11493  99.76973 100.28958  99.82485  99.66444  99.64437 #>  [65829]  99.69955  99.90495 100.08996 100.10494 100.20978 100.29955  99.88493 #>  [65836]  99.63433  99.95499  99.71961  99.55903 100.18483  99.91997 100.02500 #>  [65843]  99.47864 100.15987 100.05998  99.99000  99.89995  99.69453  99.42837 #>  [65850]  99.88994 100.07997  99.87993 100.08496  99.85489 100.24470 100.24470 #>  [65857]  99.86491 100.33942  99.99000 100.17485 100.44401 100.42410  99.98500 #>  [65864] 100.15987  99.52387  99.83987 100.38426 100.44401  99.85990 100.44401 #>  [65871] 100.06998  99.86992 100.10994 100.00500  99.57911 100.03499  99.84989 #>  [65878] 100.04499 100.03499  99.44345 100.47388 100.30952 100.32946  99.35794 #>  [65885] 100.17984 100.07997 100.20479 100.53358 100.22475  99.96499 100.39920 #>  [65892]  99.85990 100.11493 100.08496  99.68952 100.01000  99.99500  99.96499 #>  [65899]  99.85489  99.83987  99.45351  99.99000 100.57336  99.81984 100.38924 #>  [65906] 100.41414 100.08496  99.84488  99.77976  99.65942  99.50879  99.68952 #>  [65913] 100.03000 100.08496 100.26465  99.99500 100.04499 100.41414 100.45895 #>  [65920] 100.21976 100.07497 100.28460  99.90495 100.23472 100.25468 100.94058 #>  [65927] 100.09495  99.82485  99.98000  99.37807  99.83486  99.98000 100.42410 #>  [65934] 100.49378 100.32447  99.69955  99.53894  99.75470  99.77976 100.40418 #>  [65941] 100.30952  99.46859  99.57409 100.32946  99.85990 100.00000  99.81984 #>  [65948]  99.99500  99.75971  99.88994  99.39819  99.88994  99.89494 100.09495 #>  [65955]  99.91997 100.06498  99.81483  99.76472 100.00500  99.86992  99.78477 #>  [65962]  99.49372 100.46890  99.72462 100.34441 100.33444  99.83987  99.69955 #>  [65969]  99.68952  99.24717  99.91997 100.04499  99.75971  99.53894  99.65942 #>  [65976] 100.05498  99.81483 100.04999  99.87492 100.06498 100.02000 100.43904 #>  [65983] 100.46890 100.06498  99.49874 100.64790 100.19481  99.83486 100.21477 #>  [65990] 100.04999 100.03499  99.77976  99.48367 100.19980 100.49378  99.87492 #>  [65997]  99.84989 100.06998 100.15987 100.03499 100.25966  99.57911 100.16486 #>  [66004]  99.89995 100.14490 100.21477 100.20978  99.89995  99.95499  99.64437 #>  [66011]  99.92998 100.29955 100.67274  99.77976 100.88112 100.15488 100.26964 #>  [66018]  99.75971  99.82986 100.25966 100.37928  99.93998 100.11493 100.19481 #>  [66025] 100.30454 100.40916 100.03000  99.80982  99.50377 100.14490  99.57409 #>  [66032] 100.09495  99.85489  99.60422  99.53391  99.54396 100.39422  99.77976 #>  [66039] 100.14989 100.45397 100.41414 100.28460 100.46890  99.84488  99.89995 #>  [66046]  99.95499 100.34441 100.00500  99.91997  99.91997  99.91997 100.18483 #>  [66053]  99.62429  99.81984  99.66444 100.07497 100.04499 100.13990 100.30454 #>  [66060]  99.88493  99.71459  99.77976 100.20978 100.02500 100.41414  99.40825 #>  [66067] 100.16986 100.28460 100.49876 100.32447  99.75470 100.00000 100.35935 #>  [66074] 100.28958 100.25468 100.07997 100.30454 100.40418 100.45397 100.08496 #>  [66081]  99.70958 100.10494  99.91496 100.18483 100.19980 100.02000 100.14490 #>  [66088] 100.17984 100.28958  99.65440 100.12492 100.19980  99.84488  99.67949 #>  [66095] 100.21477 100.35935 100.10994 100.15488 100.19980 100.17485  99.68450 #>  [66102]  99.29753 100.03000 100.07997 100.43904 100.54850 100.20978 100.11493 #>  [66109] 100.24470 100.29457  99.90996 100.25468  99.40322  99.78477  99.49372 #>  [66116] 100.42410 100.36434  99.88994 100.19481 100.32946  99.99500  99.46859 #>  [66123]  99.90495  99.51884  99.91997  99.73966  99.50879  99.89995 100.17485 #>  [66130]  99.94999  99.77976  99.87492 100.13491  99.77475 100.14989  99.89494 #>  [66137] 100.19481 100.35935  99.56405 100.00500  99.93998  99.81483 100.05498 #>  [66144]  99.35291  99.54898  99.66945 100.11993 100.43904 100.31451  99.95499 #>  [66151]  99.60924 100.09995  99.76973 100.30454 100.15987 100.61312  99.46859 #>  [66158]  99.78477  99.54396  99.58414  99.61928  99.66444 100.20978  99.89995 #>  [66165] 100.47388  99.62931  99.80982  99.77475  99.74969  99.61928 100.18483 #>  [66172] 100.09995 100.10494  99.94498  99.46356 100.25468  99.94999 100.24470 #>  [66179] 100.05998  99.89995 100.13491 100.48881 100.19980 100.70253  99.72462 #>  [66186] 100.13491  99.93498 100.18982  99.91496  99.98500 100.38426 100.18483 #>  [66193] 100.03000  99.83987 100.57833 100.03999 100.21976  99.78477 100.38426 #>  [66200]  99.99000 100.07497  99.70958 100.40916  99.58414 100.40418  99.89494 #>  [66207]  99.95499 100.12492  99.63433 100.42410  99.82485  99.94498 100.57336 #>  [66214]  99.88493  99.85489 100.35935  99.57911 100.14989 100.06998  99.90495 #>  [66221]  99.69955  99.98500 100.02500  99.95999  99.95999 100.32946  99.79980 #>  [66228] 100.16486 100.66280  99.77976 100.28460 100.29457  99.75470  99.57409 #>  [66235]  99.71459 100.68764 100.68764  99.45351 100.82658  99.88994  99.98500 #>  [66242]  99.58916  99.68450 100.55844 100.27961  99.60422 100.12492 100.53358 #>  [66249]  99.94498  99.76973  99.87993  99.85990 100.12992 100.27462 100.30952 #>  [66256] 100.28460  99.57409 100.25966 100.13990  99.76472 100.46392 100.17485 #>  [66263] 100.33942 100.19481  99.84488  99.45853 100.41414  99.51884 100.37928 #>  [66270]  99.78477  99.81483  99.94498  99.79980  99.78477  99.80982  99.58916 #>  [66277]  99.99000  99.74969 100.12992 100.44899  99.60924  99.79479 100.08496 #>  [66284]  99.59418 100.14490 100.36434 100.13990  99.72462 100.35935 100.01000 #>  [66291]  99.97000 100.25468 100.31451 100.34939 100.35935  99.90495 100.37928 #>  [66298] 100.01000 100.10994  99.86491  99.82485 100.09995 100.29457  99.66444 #>  [66305] 100.13990 100.18483 100.06998  99.83987  99.91997 100.26465  99.97000 #>  [66312]  99.70958 100.23971  99.86491 100.08496  99.89995 100.48383 100.28460 #>  [66319] 100.04499  99.53391 100.34939  99.99000  99.98000 100.02500 100.56838 #>  [66326]  99.77976 100.22475  99.65942  99.90495  99.77976 100.25966  99.71459 #>  [66333]  99.54396 100.44899 100.12492  99.87993  99.90996  99.86992 100.48881 #>  [66340] 100.26964  99.92998 100.03999  99.61928 100.06498 100.16486 100.13990 #>  [66347] 100.48383 100.24969  99.38310  99.57911 100.13491 100.13990  99.82485 #>  [66354]  99.84488 100.28460 100.06498 100.39422 100.14490 100.37928  99.64939 #>  [66361]  99.46859 100.49378 100.14490  99.73966  99.87993 100.21976 100.18982 #>  [66368] 100.47885  99.60924  99.61426  99.73966 100.20978 100.10494  99.44345 #>  [66375] 100.20978 100.10494  99.55903  99.86491 100.14490 100.46392 100.77698 #>  [66382] 100.10994 100.31949 100.08996 100.14490 100.57833  99.92497 100.08496 #>  [66389] 100.20479  99.70456  99.83987 100.17984 100.47388  99.80982 100.52363 #>  [66396]  99.89995  99.91496  99.98500 100.11493 100.18982  99.98000  99.67447 #>  [66403] 100.22475 100.02500  99.75971 100.52860 100.02000 100.10494 100.04499 #>  [66410]  99.91997 100.08996  99.73465 100.16486  99.95499 100.01000  99.81483 #>  [66417] 100.16986 100.08496  99.69955 100.35935 100.04999  99.97500  99.43339 #>  [66424] 100.03999 100.25468 100.14490 100.33942 100.19481 100.10494 100.00500 #>  [66431]  99.76973 100.29457 100.21976  99.97000 100.10494  99.60924  99.66444 #>  [66438]  99.47361  99.38310 100.05498  99.51382 100.21477  99.91496 100.13491 #>  [66445]  99.73966  99.71961 100.04499 100.56341 100.20479  99.88994  99.97500 #>  [66452] 100.06998 100.06498 100.22974  99.77475  99.99000  99.72963 100.01500 #>  [66459]  99.69453  99.89995 100.38924 100.20479 100.16986 100.47885 100.06498 #>  [66466] 100.00500 100.47388  99.76472 100.24470  99.78978  99.89995 100.64293 #>  [66473] 100.29955  99.95499  99.61928  99.97000 100.08496 100.28958  99.89494 #>  [66480]  99.48869  99.94498 100.51368  99.98500  99.81483  99.64437 100.01500 #>  [66487] 100.41912  99.99000 100.24969 100.47388  99.78978 100.56838 100.18483 #>  [66494] 100.04499  99.89494 100.24969  99.66945  99.98000 100.06998 100.33444 #>  [66501]  99.60422  99.95499 100.00000 100.33444 100.24470 100.00500 100.17984 #>  [66508]  99.66945  99.57911 100.09995 100.02000  99.94498 100.24470  99.30257 #>  [66515]  99.45853 100.25468  99.83486 100.44401 100.18483 100.30454 100.40418 #>  [66522]  99.62931  99.79479  99.59920  99.94498  99.99000 100.12992  99.89995 #>  [66529]  99.78477  99.92998 100.02500  99.59920 100.01000 100.12492  99.97000 #>  [66536] 100.17485  99.93498  99.86992  99.88994  99.79479  99.64939 100.35935 #>  [66543]  99.87492 100.08996 100.19481 100.16986  99.90996  99.71961  99.97000 #>  [66550]  99.83486  99.47864  99.83486 100.69260 100.23971 100.13990  99.87993 #>  [66557]  99.46356 100.04999  99.88493  99.88493  99.67949 100.34441 100.02000 #>  [66564]  99.70456 100.14490  99.46859 100.34939 100.26465  99.78978 100.32946 #>  [66571] 100.20978 100.15488 100.07997 100.06998 100.17485 100.04499  99.63433 #>  [66578]  99.80982 100.63300  99.56405 100.20978 100.17485 100.36932 100.17485 #>  [66585]  99.88994 100.10994 100.11493 100.19481 100.41414  99.87492 100.30952 #>  [66592]  99.71961 100.08996  99.69955 100.38426  99.62931  99.78477 100.20479 #>  [66599] 100.23472  99.55903  99.84488  99.70958  99.85990 100.54352  99.74969 #>  [66606]  99.73966 100.14490 100.19481  99.63433 100.29955  99.77475  99.57911 #>  [66613]  99.87993 100.35935  99.89494  99.71961  99.54396  99.50879 100.14490 #>  [66620]  99.56907  99.93998  99.45351 100.09995 100.35437  99.91496 100.20978 #>  [66627] 100.47388 100.31949 100.34939 100.19980 100.09995  99.70456 100.38426 #>  [66634]  99.71459  99.76472 100.13990 100.19980  99.62429 100.37928 100.38426 #>  [66641]  99.62429 100.23971  99.69453  99.83987  99.91496 100.26964  99.55401 #>  [66648]  99.68450 100.56341  99.81984  99.98500  99.93498  99.87993  99.47864 #>  [66655] 100.10494 100.43406 100.86129  99.78978  99.44345  99.74969  99.61928 #>  [66662] 100.10994 100.15987 100.28958  99.99000 100.19481  99.97500 100.57336 #>  [66669]  99.87492  99.68450 100.00000  99.67949  99.73966 100.03999 100.53358 #>  [66676] 100.33942  99.95499 100.17984  99.66444 100.12992 100.11993  99.90495 #>  [66683] 100.10994  99.87993 100.25966 100.21477  99.87993  99.52387  99.49372 #>  [66690] 100.26964  99.75971  99.44848 100.45895  99.80982 100.15987 100.00000 #>  [66697]  99.80982  99.68952  99.95999  99.52387  99.75971  99.62931  99.60422 #>  [66704] 100.48881 100.32447  99.80982 100.33444 100.30454  99.77976  99.57409 #>  [66711]  99.59920 100.11493 100.04499 100.29457 100.26465 100.29955 100.02000 #>  [66718] 100.11493 100.01000  99.74467  99.93498  99.64437  99.86992  99.94999 #>  [66725] 100.34441  99.64437 100.34939  99.77976 100.44401  99.97500 100.25468 #>  [66732] 100.20978  99.90996 100.13990  99.95999  99.67447 100.06498  99.92497 #>  [66739]  99.64437  99.93998 100.09495  99.98500  99.88994 100.17984  99.75470 #>  [66746]  99.85990 100.35437 100.52860  99.92497 100.22475 100.43904  99.63433 #>  [66753] 100.29955 100.33942 100.14989  99.88493 100.40916  99.69955 100.18982 #>  [66760] 100.09995  99.87993 100.05498 100.28460 100.08496 100.19481 100.52860 #>  [66767] 100.02500 100.28460  99.88493 100.23971 100.00500  99.87993  99.57409 #>  [66774] 100.04499 100.27462 100.00000 100.26964  99.69955  99.47361  99.82485 #>  [66781]  99.93498  99.53894 100.25966  99.88994 100.10994  99.55903 100.16486 #>  [66788]  99.74467 100.26465  99.25220  99.58916  99.64437  99.56405 100.18982 #>  [66795] 100.21477 100.24470  99.85489  99.82986  99.78477 100.37430 100.41912 #>  [66802]  99.58916 100.33444 100.02500  99.73465 100.28460 100.13990  99.52889 #>  [66809]  99.83486  99.55401  99.87993  99.69955 100.13491 100.38924 100.21976 #>  [66816] 100.16486  99.89995  99.89995 100.00000 100.18483 100.06498 100.23971 #>  [66823]  99.94498 100.41912  99.67447 100.04499 100.21477  99.48367 100.20479 #>  [66830] 100.03499  99.77475  99.63935  99.86491 100.00500 100.00500 100.15987 #>  [66837] 100.24470  99.81984 100.05498  99.73465 100.25966  99.74969  99.90996 #>  [66844]  99.39819  99.95999 100.08996  99.68450  99.67447 100.03499 100.40418 #>  [66851] 100.06998  99.71961 100.26964  99.59920 100.03000 100.17485 100.24969 #>  [66858]  99.90996 100.43904 100.16486  99.25220 100.22974  99.58916  99.23205 #>  [66865]  99.61928 100.18982 100.61809 100.45895  99.99500 100.36932  99.87492 #>  [66872] 100.55844  99.99000 100.20978  99.94498  99.98500  99.99500 100.09495 #>  [66879]  99.61928  99.99000  99.66444 100.53358 100.32946  99.63935  99.67949 #>  [66886] 100.02500  99.99500 100.13990 100.37430 100.27961  99.57911 100.37430 #>  [66893]  99.94999 100.15488  99.72462 100.11993 100.12992  99.86992  99.76472 #>  [66900] 100.41912 100.20978  99.76973 100.51865 100.39422 100.00500  99.72963 #>  [66907] 100.39920 100.42410  99.59418  99.89494 100.24969 100.05498  99.91496 #>  [66914]  99.86491 100.55347  99.89494 100.20479  99.98500 100.40418  99.36800 #>  [66921]  99.80481 100.23472 100.10494  99.62429  99.61928  99.77475 100.27462 #>  [66928]  99.88994  99.51382 100.02000 100.27961 100.46392 100.65287 100.01000 #>  [66935]  99.87993  99.99000 100.51368  99.56405 100.28958 100.40418 100.40916 #>  [66942] 100.09495  99.83987 100.24969  99.73966  99.90495  99.66945 100.16486 #>  [66949] 100.03999  99.83486  99.94999 100.44401 100.13491 100.05998 100.02000 #>  [66956] 100.15488 100.21976  99.87492 100.27462  99.92998 100.09495 100.15488 #>  [66963]  99.73966  99.92998 100.66280  99.63935  99.88493  99.90996 100.43904 #>  [66970] 100.04499 100.03000  99.69453  99.57911 100.52363  99.59418 100.15987 #>  [66977] 100.16986  99.72963 100.32946  99.67949  99.74467  99.65440  99.89494 #>  [66984]  99.88994  99.93498  99.89494  99.91496 100.24470  99.71961  99.79479 #>  [66991]  99.89494  99.40322 100.10494  99.62429 100.25966  99.88493 100.11993 #>  [66998] 100.05998 100.32946  99.84488 100.17984 100.22475  99.92998  99.77976 #>  [67005] 100.14490  99.71961  99.86491 100.03000 100.13990  99.90996  99.75470 #>  [67012] 100.12992 100.20978  99.50377 100.11493  99.73966  99.64939 100.06998 #>  [67019]  99.86491  99.99500 100.32447 100.42908 100.02500  99.98000 100.21976 #>  [67026] 100.22974  99.79980 100.36434 100.55844 100.23971 100.09995 100.17984 #>  [67033]  99.36800  99.64939  99.81483  99.85489  99.85489  99.86992  99.79479 #>  [67040] 100.34441  99.88493  99.67447 100.15987  99.79980  99.65942 100.15488 #>  [67047] 100.05998 100.36434  99.91997 100.12492  99.87993 100.15987  99.74969 #>  [67054] 100.02500  99.78978  99.84488 100.09995 100.00000  99.95999 100.25468 #>  [67061]  99.51382  99.73966  99.71459  99.97000  99.86992  99.81483  99.82485 #>  [67068]  99.49874 100.01000  99.53894  99.86491  99.91496  99.89494  99.69453 #>  [67075] 100.05998  99.74467  99.90495  99.35794  99.62429  99.84989 100.37928 #>  [67082] 100.01500  99.97000 100.12492 100.31949  99.72963 100.07497 100.02000 #>  [67089]  99.83486 100.35437  99.77475  99.40825 100.63797 100.59821  99.56405 #>  [67096] 100.04999  99.78477 100.39920 100.08496 100.50871 100.00500 100.02500 #>  [67103] 100.37928 100.15987 100.12492 100.04999 100.36932 100.37928  99.61426 #>  [67110]  99.77976  99.96499 100.24470 100.43406 100.19481 100.19481 100.71743 #>  [67117]  99.86992 100.28460 100.42410 100.20978  99.92998  99.62429  99.63935 #>  [67124]  99.92998 100.26465  99.87993  99.25220 100.14490 100.13990  99.82986 #>  [67131]  99.81984 100.15987 100.26465  99.94498 100.36434 100.41912 100.12992 #>  [67138]  99.58916  99.94999 100.22475  99.80481 100.39422  99.88493  99.97500 #>  [67145]  99.81984  99.81483  99.65440  99.96499 100.63300 100.24969  99.85489 #>  [67152]  99.84989  99.85489 100.09495 100.22475  99.99000 100.06498 100.04499 #>  [67159]  99.90996 100.34441 100.00000 100.20479  99.64939  99.59418  99.54396 #>  [67166] 100.41912 100.36932  99.99000 100.18982 100.05498  99.70958  99.69955 #>  [67173] 100.02000  99.71961  99.86992  99.82986  99.43842 100.03000 100.29955 #>  [67180]  99.75470  99.35291  99.61426 100.01000 100.15488 100.08996  99.85489 #>  [67187]  99.98500  99.47864 100.08496 100.09495 100.55844  99.60422  99.54898 #>  [67194]  99.91997 100.23971 100.24969 100.47388 100.10994 100.12492 100.33444 #>  [67201] 100.02000  99.64437  99.90996  99.87993  99.76973  99.83987 100.12492 #>  [67208]  99.83987  99.35291 100.28958 100.20978  99.42334 100.05998 100.31949 #>  [67215]  99.74467  99.56907  99.75470  99.96499  99.83486  99.74969 100.03000 #>  [67222]  99.83987 100.67770 100.10994  99.53894 100.16486  99.98500 100.33444 #>  [67229]  99.43842  99.82986  99.88994 100.01500 100.11493 100.18483 100.34939 #>  [67236]  99.84989 100.09995  99.71961  99.66945 100.38924 100.71743  99.33277 #>  [67243]  99.79479 100.04499  99.49874 100.34441 100.14989 100.56838  99.83486 #>  [67250]  99.53894  99.70958 100.21477 100.20479 100.35437  99.92998  99.97000 #>  [67257]  99.89494  99.89995 100.20479 100.17485 100.12492  99.69955  99.54898 #>  [67264] 100.14490 100.23472 100.24470  99.99000  99.48869  99.67949  99.41831 #>  [67271]  99.93498  99.74467 100.13491  99.90996 100.31949 100.06998  99.96499 #>  [67278]  99.52387 100.31949  99.96499 100.12492 100.25966 100.11993  99.75470 #>  [67285]  99.54898  99.53894  99.54396  99.75971  99.63935  99.39316  99.75971 #>  [67292]  99.64437 100.09995 100.30952  99.62429  99.61928  99.46859  99.93498 #>  [67299] 100.10494 100.29955  99.81483 100.29955 100.20978  99.81984 100.59821 #>  [67306]  99.71459 100.63300  99.81984 100.44899  99.41328  99.94498  99.67949 #>  [67313] 100.29955 100.19481  99.75470 100.32447  99.92998  99.91997  99.73465 #>  [67320]  99.64437  99.92497 100.03999 100.09995  99.96499  99.97500  99.95999 #>  [67327] 100.16986 100.09495 100.07997  99.65942 100.02000 100.23971  99.77475 #>  [67334]  99.60422  99.76472  99.74969 100.10494 100.15987 100.28958 100.06498 #>  [67341] 100.27961 100.12492  99.45351 100.03000  99.67949  99.48367  99.38310 #>  [67348]  99.44345  99.94498 100.21976  99.57409 100.12992  99.65440  99.78477 #>  [67355]  99.89494  99.77475 100.45895 100.16486 100.66280  99.74467 100.03000 #>  [67362]  99.63935 100.35437  99.79479 100.22475 100.16486 100.34441 100.34441 #>  [67369] 100.29457  99.79479 100.35935 100.53855 100.11993  99.74969 100.34939 #>  [67376] 100.49876 100.05998 100.13990  99.88493  99.61426  99.96499  99.99000 #>  [67383] 100.19481 100.42908  99.86491  99.54898  99.60924 100.16986  99.72963 #>  [67390] 100.04999 100.26964 100.25966  99.91496 100.23971  99.90495  99.86491 #>  [67397]  99.60924  99.73966  99.94498  99.90996 100.16986 100.02000  99.98000 #>  [67404]  99.89995 100.27961 100.06998  99.71961 100.09995  99.75470 100.37430 #>  [67411]  99.75971 100.08496  99.85990 100.28958 100.75713 100.07497 100.30952 #>  [67418]  99.98500  99.60422 100.34441 100.06998  99.98500 100.82658  99.99500 #>  [67425] 100.38924 100.23971  99.78978 100.13990  99.98500  99.98000 100.19980 #>  [67432] 100.53855 100.15987 100.31451  99.83486  99.99000  99.89995 100.23971 #>  [67439] 100.06998 100.06998 100.15987  99.97000 100.32946 100.07997 100.26465 #>  [67446] 100.07497  99.85489  99.48869 100.55347 100.34441  99.87492  99.43339 #>  [67453]  99.64437 100.08496 100.03499 100.05998  99.61928 100.07997  99.46356 #>  [67460]  99.94498  99.81483 100.05498 100.03499  99.77475  99.68450  99.47361 #>  [67467]  99.83987 100.28958  99.68952 100.23472  99.88994  99.84488 100.25468 #>  [67474]  99.76472 100.14989 100.50373 100.28460  99.95499  99.26228  99.87993 #>  [67481]  99.77976  99.64939 100.15987  99.81984  99.80982  99.81483  99.47361 #>  [67488]  99.77976 100.07997  99.74467  99.87993  99.58916 100.83154  99.99500 #>  [67495]  99.83987 100.13990 100.06498 100.22475  99.98000 100.13990  99.18165 #>  [67502]  99.64437 100.06998 100.14989 100.34441  99.58916  99.70456  99.68450 #>  [67509]  99.65440 100.03499 100.38924  99.84488  99.84488  99.67447  99.52889 #>  [67516] 100.42410 100.13491  99.87492 100.10494  99.88994  99.93998  99.95499 #>  [67523] 100.02500 100.45397  99.87492 100.48881  99.86992  99.39316  99.79980 #>  [67530]  99.74969  99.83486  99.90996  99.91496  99.86992 100.25966 100.04999 #>  [67537]  99.87993 100.05998  99.63433  99.73966  99.97500  99.41831 100.32946 #>  [67544]  99.61928  99.85489 100.28460 100.43406  99.82485 100.43406 100.29955 #>  [67551]  99.85489  99.62931 100.02500  99.95999  99.59920  99.36800 100.03000 #>  [67558] 100.55844 100.22475 100.31451  99.96499 100.34441 100.01500 100.23472 #>  [67565]  99.80982 100.13990 100.05498 100.18982 100.44899 100.27961  99.82485 #>  [67572]  99.87993  99.87993 100.33444  99.80982  99.94999 100.48881  99.58916 #>  [67579] 100.41414 100.18483  99.90495 100.24969  99.97000  99.53894 100.31949 #>  [67586] 100.50871  99.57409 100.22475  99.91997 100.11493  99.33277  99.83486 #>  [67593] 100.35935 100.60815  99.86992  99.99500  99.71961 100.24470  99.54898 #>  [67600]  99.98000  99.84488 100.60318  99.92497  99.81483  99.55903  99.35291 #>  [67607] 100.30454  99.91997  99.88994  99.86992  99.54396 100.21976 100.11493 #>  [67614] 100.07997 100.15987 100.02500  99.99000 100.06498 100.17485 100.14989 #>  [67621] 100.14989  99.35794 100.48881  99.97000 100.17485  99.76472  99.48367 #>  [67628]  99.79980  99.74969  99.42334  99.67447 100.14989 100.25966  99.88493 #>  [67635] 100.38426  99.63433 100.10994  99.83486  99.70958 100.25468  99.78477 #>  [67642] 100.23472  99.86491  99.99000  99.69453 100.03499  99.72963 100.12992 #>  [67649] 100.45397 100.04499  99.53894  99.49372 100.29457  99.87492 100.19980 #>  [67656] 100.04999  99.45853  99.79980  99.95999  99.61426 100.00000  99.37807 #>  [67663]  99.85489  99.82485  99.65942 100.17485  99.89494 100.48881 100.38924 #>  [67670]  99.70456  99.91496 100.44401  99.99000  99.68450  99.74467 100.29457 #>  [67677] 100.10994  99.52387 100.36434  99.95499  99.62429  99.55903  99.45351 #>  [67684] 100.22974 100.11493  99.69453 100.19980  99.41328 100.30454  99.74467 #>  [67691]  99.74467 100.46890  99.67949  99.60924 100.37928 100.20479 100.12492 #>  [67698]  99.58414  99.84488 100.28958  99.90996 100.09995 100.26964 100.04499 #>  [67705]  99.60422 100.09495  99.74969  99.54396 100.09995 100.07497 100.14989 #>  [67712]  99.93498  99.60422  99.93498  99.34787  99.85990 100.35437  99.61928 #>  [67719] 100.26964  99.88994  99.96499 100.39920 100.18982  99.92998 100.05498 #>  [67726] 100.19481 100.05498 100.29457 100.32946 100.20479 100.02500 100.03000 #>  [67733] 100.57336  99.60924 100.39920  99.93498 100.16986  99.80982 100.17485 #>  [67740] 100.57336 100.24470 100.44401 100.31451  99.55903 100.33444 100.24470 #>  [67747]  99.89494  99.65942 100.06498  99.80982 100.25468  99.70456 100.28460 #>  [67754]  99.93998 100.20978  99.86491 100.05498 100.36932  99.77475  99.26732 #>  [67761] 100.18483  99.81984 100.31949 100.11993  99.69955 100.14490 100.13990 #>  [67768]  99.47864  99.75971 100.25468 100.24470 100.51865  99.66444 100.57336 #>  [67775] 100.25966 100.08496 100.51368 100.01000 100.31451  99.45853 100.15488 #>  [67782]  99.62931  99.95499  99.90495 100.43406 100.47885 100.39422 100.19980 #>  [67789]  99.98000  99.82986 100.40916  99.71459 100.06998  99.78477  99.68952 #>  [67796]  99.89494  99.94498 100.20479 100.27462  99.61928  99.95499  99.85489 #>  [67803]  99.65942  99.81984 100.09995  99.94999 100.06498 100.03000  99.75971 #>  [67810] 100.10994 100.13990  99.46859 100.06498 100.43406 100.44899  99.38310 #>  [67817]  99.97000 100.08996 100.12492 100.09495 100.29955 100.20978 100.29457 #>  [67824]  99.86491 100.26465 100.19481 100.39422 100.26465  99.69453  99.98500 #>  [67831] 100.09495 100.38924  99.91997 100.03000 100.37430 100.42908  99.79980 #>  [67838] 100.17485  99.96499  99.76973  99.64437  99.87993  99.93498  99.80982 #>  [67845]  99.93998  99.77475  99.68450  99.69955 100.19980 100.11993 100.33942 #>  [67852] 100.03999  99.94999 100.12492 100.05498 100.08496 100.22475  99.99000 #>  [67859]  99.74467 100.09495 100.33444 100.43406 100.22475 100.05998 100.14490 #>  [67866]  99.94498 100.01000  99.96499  99.62429  99.87492  99.92998  99.54396 #>  [67873]  99.99000 100.17984 100.14989  99.90495 100.10494  99.95999  99.95499 #>  [67880] 100.04499  99.77475 100.19481 100.20978 100.01000 100.18982 100.02000 #>  [67887]  99.89995 100.33444  99.75470 100.09495 100.03499 100.08996 100.09995 #>  [67894] 100.47885  99.49372  99.89494 100.06998  99.75971  99.27739 100.26465 #>  [67901]  99.86992  99.73465 100.24470 100.34441 100.02000  99.92497 100.35437 #>  [67908] 100.09495  99.88994 100.24470 100.02500 100.00500  99.45853 100.03499 #>  [67915]  99.69955 100.23472 100.47388  99.91997 100.08496 100.22475 100.17984 #>  [67922]  99.87492 100.03499 100.25966 100.07497 100.00500 100.58330  99.92497 #>  [67929]  99.93498  99.67949 100.23472 100.31451  99.64437  99.49874 100.27961 #>  [67936] 100.10494 100.21976 100.04499 100.05498  99.70958  99.77976 100.03000 #>  [67943] 100.10994 100.14490  99.90495  99.77475 100.23472 100.43904 100.03000 #>  [67950] 100.19980  99.51382 100.01500  99.26732 100.15987 100.02000  99.45853 #>  [67957] 100.04499  99.58414 100.67770  99.57409  99.74969 100.14989  99.70958 #>  [67964] 100.05998 100.24470  99.56405 100.14989 100.19980 100.20479 100.14490 #>  [67971]  99.80481 100.03499 100.06498  99.77976  99.74969 100.65287  99.71459 #>  [67978] 100.43904  99.93998  99.79980  99.88994 100.23971  99.75971  99.36297 #>  [67985] 100.50871 100.18982 100.32447 100.10994 100.43406 100.42410  99.94498 #>  [67992] 100.60815  99.79980 100.11993  99.88493 100.31949  99.83987 100.20978 #>  [67999] 100.07497  99.95499 100.34441 100.28460 100.25966  99.58414  99.87492 #>  [68006]  99.80982 100.14490  99.87492 100.05498  99.79479  99.78477 100.27961 #>  [68013]  99.62931  99.91997  99.91496  99.95499  99.97000 100.20479  99.77976 #>  [68020]  99.64437 100.10994  99.56907  99.56907  99.83486 100.01000  99.29250 #>  [68027] 100.16486 100.03999  99.92497  99.99000  99.91997  99.85990  99.76472 #>  [68034]  99.97500 100.42908  99.75470 100.36434  99.69453 100.04999  99.98500 #>  [68041]  99.89494  99.97500 100.07497  99.72963  99.83486 100.11493  99.90996 #>  [68048] 100.17984  99.99000  99.93998  99.95499 100.39920 100.21477 100.00000 #>  [68055]  99.81483 100.48383 100.29955  99.68952 100.03000 100.05498  99.84989 #>  [68062] 100.08996  99.61426 100.58330  99.55401 100.30454  99.80982 100.38426 #>  [68069] 100.21477  99.77976 100.42908 100.09995 100.04499  99.76472 100.06498 #>  [68076]  99.64939 100.07497  99.75971 100.07497  99.71459 100.21976  99.92497 #>  [68083] 100.17984 100.22974  99.99000 100.39920 100.20479 100.17984 100.39422 #>  [68090] 100.00500 100.38924 100.11993  99.92497  99.82485  99.65942 100.21976 #>  [68097] 100.14490 100.10494  99.57409  99.98500  99.82986 100.24470 100.45397 #>  [68104]  99.99500 100.24969 100.14490  99.27235 100.05498  99.99500 100.10494 #>  [68111] 100.09995  99.43339  99.94498  99.80982 100.06498 100.39920 100.37430 #>  [68118]  99.50879  99.76973 100.10994  99.35291  99.93998 100.38924  99.69955 #>  [68125]  99.85489  99.91997 100.00500 100.48881 100.62306 100.14490  99.65440 #>  [68132] 100.28958  99.78978  99.66945 100.01500  99.68952 100.13990  99.72963 #>  [68139]  99.76472 100.03000 100.00500  99.71961 100.24470  99.90495  99.69453 #>  [68146]  99.73966 100.71743  99.38813  99.58916 100.07497  99.45853  99.63935 #>  [68153]  99.99000 100.02500 100.46392 100.49378 100.19980  99.67447 100.10494 #>  [68160] 100.45397  99.85489  99.66945  99.62429  99.42334  99.50879  99.97500 #>  [68167]  99.73465 100.24470 100.06998  99.58414 100.02000  99.75971 100.24470 #>  [68174] 100.06498 100.01000  99.88493 100.35437 100.04499 100.56838 100.18982 #>  [68181] 100.01000  99.88994  99.82986  99.78978  99.80982  99.97000 100.35935 #>  [68188]  99.95499  99.74969  99.54898  99.93998  99.97000  99.47361 100.04999 #>  [68195] 100.10494  99.93498 100.15987 100.00000  99.45853  99.66444 100.12492 #>  [68202]  99.91496  99.77475 100.18982  99.95499  99.87492  99.91496 100.15987 #>  [68209]  99.82485  99.84989  99.63433 100.23971 100.15488 100.02500 100.02500 #>  [68216]  99.48367  99.54898  99.58916 100.11493  99.75971  99.92998  99.83486 #>  [68223] 100.18483 100.33444 100.13491  99.84989 100.20978 100.18982  99.67447 #>  [68230] 100.32946 100.13491  99.63433  99.81483  99.83987 100.02500 100.50871 #>  [68237] 100.23971  99.36800 100.18483  99.92998 100.14490  99.57911  99.75971 #>  [68244]  99.79479  99.77976  99.72963 100.10494  99.79980 100.23971  99.88994 #>  [68251] 100.17485 100.03999 100.34939  99.51382 100.53358  99.89494 100.39920 #>  [68258] 100.22974 100.32447  99.97000 100.42410 100.20978 100.00500  99.97500 #>  [68265]  99.57409 100.14490 100.26465  99.86491  99.60422  99.94498 100.61809 #>  [68272] 100.05998  99.84488  99.81984 100.39920 100.74225  99.66444 100.24470 #>  [68279]  99.90996 100.30952 100.16486 100.01500 100.31949 100.03999 100.34939 #>  [68286] 100.56341  99.98500 100.21477  99.94999  99.89995  99.84488  99.98000 #>  [68293] 100.12492  99.78477 100.26465 100.15488  99.44848 100.30952 100.09995 #>  [68300] 100.37430  99.84488  99.91496 100.07997  99.51884  99.90996 100.35437 #>  [68307] 100.50373 100.22974  99.62429 100.07497  99.94498  99.49874 100.12992 #>  [68314]  99.88994  99.75971 100.14490 100.13990 100.38924 100.35935  99.86491 #>  [68321] 100.19980  99.59418  99.67447  99.72462 100.24470 100.03499 100.35437 #>  [68328]  99.86491 100.01500 100.20978 100.29457 100.23472 100.09995 100.17984 #>  [68335] 100.37430 100.61312  99.78477  99.65942 100.25468  99.60422 100.16986 #>  [68342] 100.10494 100.18982  99.70456  99.72963  99.96499  99.54898  99.58414 #>  [68349] 100.03499 100.08496  99.81483 100.15488 100.13990  99.71459 100.18483 #>  [68356]  99.84989  99.94498 100.53358 100.06998  99.71961 100.13990 100.22974 #>  [68363]  99.91997  99.32271 100.26465  99.68952 100.62803 100.51865 100.18982 #>  [68370] 100.41414 100.48881 100.48383  99.66444 100.36434 100.01500 100.27462 #>  [68377]  99.81984  99.94999  99.76472  99.97000  99.71459  99.64939  99.60422 #>  [68384]  99.95999  99.91496 100.20479  99.56405 100.21477  99.69453 100.15488 #>  [68391]  99.31264 100.35437  99.67949 100.24470  99.38813  99.78978  99.62931 #>  [68398] 100.08496 100.15488 100.00500 100.08996  99.42334  99.77475 100.03000 #>  [68405]  99.58916 100.32946  99.98000  99.72462  99.86491 100.25966 100.17984 #>  [68412]  99.71459 100.37430  99.82986  99.76472 100.68764  99.77475 100.26465 #>  [68419] 100.00500  99.57911  99.75470  99.59920  99.88994  99.61426  99.77475 #>  [68426]  99.67447  99.50879  99.75470  99.80982  99.80982  99.85990  99.92497 #>  [68433] 100.13990 100.48881 100.03999  99.59418 100.47885 100.03999 100.32447 #>  [68440]  99.67447 100.31949 100.53855 100.13990 100.06498 100.03999 100.18982 #>  [68447]  99.77475 100.36932  99.74467 100.44899  99.81984  99.58414 100.09495 #>  [68454]  99.80982 100.08496  99.87993 100.53855 100.13491 100.13990  99.56405 #>  [68461]  99.39316  99.92497  99.83486 100.04999  99.77976  99.97000 100.33942 #>  [68468] 100.00500 100.01000  99.66444 100.30454 100.08496  99.63935  99.84989 #>  [68475]  99.41328  99.48869 100.03999 100.01000 100.38426 100.14490 100.09495 #>  [68482] 100.32447 100.14490 100.01000 100.17984  99.26228 100.05498 100.01000 #>  [68489] 100.41912  99.89494  99.65440  99.42837  99.40322  99.78477  99.76472 #>  [68496] 100.12992 100.42908 100.24969 100.63797 100.20479  99.77475 100.24969 #>  [68503]  99.95499  99.66444 100.10994 100.03000  99.95999  99.90996  99.81984 #>  [68510]  99.91997 100.03000  99.78978  99.73966  99.86491  99.83987  99.70958 #>  [68517] 100.26964  99.72462 100.03000  99.83486  99.91496 100.39422 100.18982 #>  [68524]  99.76472 100.18982 100.68267  99.95499  99.88493  99.94498  99.96499 #>  [68531] 100.04499  99.83987 100.02000  99.82986 100.52860 100.36932  99.72963 #>  [68538]  99.89494 100.68267 100.15987 100.16986 100.53358  99.71961  99.54898 #>  [68545]  99.78477 100.36932 100.03000 100.20978  99.52387 100.12992  99.86491 #>  [68552] 100.16986 100.35935  99.71459  99.62931 100.30454 100.43904  99.92497 #>  [68559] 100.76706 100.01000  99.65440  99.72963 100.24969  99.74467 100.51865 #>  [68566] 100.29955  99.89494  99.82485 100.28460  99.89995  99.63935  99.84488 #>  [68573]  99.66444  99.72963 100.19481 100.03000 100.25468  99.52889 100.57336 #>  [68580]  99.92998  99.82986 100.15488 100.19980  99.81984 100.13990  99.60422 #>  [68587]  99.95999  99.93998 100.06498 100.32447 100.55844  99.96499 100.00500 #>  [68594]  99.97000 100.03499 100.17984  99.74969 100.23971  99.92497 100.03000 #>  [68601]  99.80982 100.13990  99.56405 100.05998 100.03499  99.72462 100.18483 #>  [68608] 100.05998 100.01000  99.50879  99.92998  99.85489 100.00500 100.22475 #>  [68615]  99.90996 100.05498  99.93998 100.84146 100.62803  99.54396 100.13491 #>  [68622]  99.69453 100.20978  99.49874 100.16486 100.05498  99.70456 100.29955 #>  [68629]  99.77976 100.39920  99.83987 100.08496 100.11493 100.55347  99.82485 #>  [68636]  99.84989  99.98000  99.96499 100.27961 100.17984  99.92497  99.62429 #>  [68643]  99.50377 100.02000 100.14989 100.54850  99.73966 100.63797 100.31451 #>  [68650] 100.04499 100.04999  99.82485 100.25966  99.80481 100.46890  99.70958 #>  [68657] 100.04499  99.91496  99.66945 100.25468 100.16986  99.81483  99.69955 #>  [68664]  99.75971 100.32946 100.32447  99.90495 100.00500  99.55903  99.81483 #>  [68671]  99.83486  99.92497  99.81984  99.73465  99.78477 100.04499 100.26964 #>  [68678]  99.55401  99.85990 100.27961  99.82485  99.72462 100.35935 100.55844 #>  [68685] 100.14989  99.81984  99.68952 100.32447 100.51865 100.14490 100.01000 #>  [68692]  99.95499 100.09995 100.43904  99.91997 100.01500 100.73728 100.04999 #>  [68699] 100.11993 100.26465  99.61928 100.38924  99.77976 100.31949 100.16486 #>  [68706] 100.11993  99.81984 100.12992  99.58916 100.21477  99.52889  99.82485 #>  [68713] 100.30454 100.38924 100.03499 100.06498  99.96499  99.58916  99.43339 #>  [68720]  99.96499 100.04499 100.33444  99.94498  99.87993 100.49876  99.84488 #>  [68727] 100.06498  99.99000  99.66945  99.96499 100.21477  99.76973 100.47388 #>  [68734]  99.82986 100.04499 100.14490 100.07497  99.79980 100.74721  99.46356 #>  [68741] 100.18483 100.16986  99.66444 100.18982  99.82986  99.59920  99.74467 #>  [68748]  99.41831 100.10994  99.98000  99.70958  99.94999  99.96499  99.87492 #>  [68755] 100.10494 100.41414 100.15987 100.11493  99.96499  99.45853  99.92998 #>  [68762] 100.00500  99.85990  99.90495 100.39920 100.11993  99.99000 100.04499 #>  [68769]  99.82485  99.76472  99.78978  99.86992  99.63433 100.13990  99.73966 #>  [68776] 100.11493 100.50871  99.75971 100.71246 100.23971  99.83987  99.94999 #>  [68783] 100.21477  99.94999 100.13491  99.71961  99.57911 100.07997  99.61426 #>  [68790]  99.98500  99.57409  99.63935 100.20978  99.78978  99.54898 100.15488 #>  [68797]  99.91496  99.79479  99.63433 100.17485 100.05498  99.63433 100.00000 #>  [68804]  99.89995 100.59821  99.84989  99.75470 100.33942 100.26964 100.09995 #>  [68811]  99.87993  99.90996 100.02000 100.16486 100.20479  99.95499  99.87492 #>  [68818] 100.16986 100.26465 100.44401 100.27961 100.09495 100.27462  99.96499 #>  [68825]  99.99500  99.62429 100.42908 100.05998 100.32946  99.91997 100.18982 #>  [68832]  99.96499  99.78477 100.43406 100.15488  99.37807 100.28460  99.71459 #>  [68839] 100.01000 100.25966 100.16486  99.62931 100.18982  99.80481  99.63935 #>  [68846]  99.68450  99.88994  99.58916  99.98500  99.79479  99.92497 100.09495 #>  [68853] 100.61312 100.05998  99.81984 100.11993 100.27462  99.67447 100.02500 #>  [68860] 100.17485  99.68952  99.62931 100.08496 100.45397  99.91496 100.16486 #>  [68867]  99.97000  99.60924  99.86491 100.16986  99.82485 100.04499 100.03999 #>  [68874] 100.23472  99.67949  99.94999  99.62931 100.16986 100.14490 100.39422 #>  [68881]  99.93998 100.32946 100.21477  99.77475 100.41912  99.98500 100.36932 #>  [68888] 100.02000  99.95999  99.74969  99.97000 100.31949 100.06998 100.02500 #>  [68895] 100.37430  99.98000  99.69453 100.25468  99.80481  99.46859 100.30454 #>  [68902]  99.70958 100.16986  99.99000 100.07997  99.87492  99.47361  99.93498 #>  [68909] 100.01500  99.75470 100.32447  99.70456  99.85990 100.48383 100.01500 #>  [68916]  99.89494 100.21477 100.01000 100.43406 100.36434  99.76973 100.01000 #>  [68923]  99.78978  99.72963  99.94498  99.70456 100.11993 100.02000  99.73465 #>  [68930]  99.80481  99.90495  99.88493 100.55844 100.29955  99.67949  99.70958 #>  [68937]  99.76973 100.29457 100.16986 100.20978  99.60924 100.17984 100.09995 #>  [68944]  99.86491 100.01000  99.63433  99.71459 100.42410  99.86992  99.62931 #>  [68951] 100.05498 100.04999 100.21976 100.09495  99.77475 100.00500  99.62429 #>  [68958] 100.12992  99.54898 100.06498 100.08996 100.23472 100.38924 100.21477 #>  [68965] 100.11993 100.52860 100.41912 100.20479 100.24470 100.03999 100.29955 #>  [68972] 100.61312 100.29955 100.03499  99.77976 100.01000 100.17984 100.32946 #>  [68979] 100.12492 100.55347  99.77475  99.71961  99.86491 100.26465 100.06498 #>  [68986]  99.78477  99.89995  99.60422 100.22475 100.45397  99.67949  99.72963 #>  [68993]  99.89995 100.04499  99.48869  99.96499  99.62429  99.88994 100.01500 #>  [69000] 100.06498  99.97000 100.36932 100.35935  99.71961  99.93998 100.29955 #>  [69007] 100.22475  99.83486  99.76472 100.07497 100.65287 100.04999  99.44345 #>  [69014] 100.32946  99.92497 100.23971 100.18982  99.94999  99.91496  99.73465 #>  [69021]  99.79980 100.53358  99.86491 100.02000 100.42410 100.08496  99.74467 #>  [69028]  99.97500 100.01000 100.41912 100.55347 100.51865  99.99500 100.06998 #>  [69035] 100.17984 100.11993  99.73465 100.18483 100.13990 100.42908  99.31767 #>  [69042] 100.41414 100.41912 100.33942  99.98500  99.72963  99.94498 100.29955 #>  [69049]  99.72963  99.94999 100.49378 100.03999  99.71459  99.71961 100.43406 #>  [69056]  99.95499 100.03499 100.21976 100.18483 100.30952  99.93498 100.18483 #>  [69063]  99.97500  99.69955 100.40916  99.95999 100.40916 100.03000  99.78978 #>  [69070]  99.81483  99.59418 100.09995  99.66945 100.21976  99.92497 100.08996 #>  [69077]  99.89494 100.11993 100.05498  99.88994 100.47885 100.27961 100.25468 #>  [69084] 100.26964  99.95999  99.85489  99.90495  99.63935  99.68450  99.94498 #>  [69091] 100.29955 100.19481 100.14989  99.85489 100.41414  99.77475 100.08996 #>  [69098]  99.84989  99.56907 100.15488 100.71246 100.06998 100.25468 100.15488 #>  [69105] 100.11493 100.13491 100.39422  99.91997  99.84989 100.37430  99.85990 #>  [69112]  99.59920  99.54898  99.74969  99.82485 100.08996  99.81984  99.75971 #>  [69119]  99.97000 100.47388  99.87993 100.59324  99.58916 100.58827  99.55903 #>  [69126] 100.14989  99.98000  99.62429 100.09495  99.87993  99.59418  99.93998 #>  [69133]  99.99000 100.38426  99.98500 100.06498 100.48383  99.56907  99.81483 #>  [69140]  99.90495  99.71961 100.50373  99.80982 100.32946  99.97000  99.69453 #>  [69147]  99.56405  99.45853 100.08496  99.88493 100.03499  99.95999  99.80982 #>  [69154] 100.15488 100.05998  99.72963 100.38426  99.73966 100.08996  99.80982 #>  [69161]  99.76973 100.25468 100.29457 100.02500 100.09995 100.12992  99.90996 #>  [69168]  99.89995 100.54850  99.92497 100.25966 100.34939  99.62429  99.68952 #>  [69175] 100.18483 100.51865  99.66444  99.75971  99.93498  99.96499 100.49378 #>  [69182] 100.29457 100.52860  99.76973 100.63300  99.99000  99.98500  99.89995 #>  [69189] 100.45397 100.48383  99.45853  99.77976 100.04999 100.03999  99.99000 #>  [69196] 100.14490 100.49378 100.29457  99.94498 100.09995  99.54396 100.38426 #>  [69203] 100.18483  99.89494 100.16986  99.82485 100.21976 100.07997 100.00500 #>  [69210] 100.34939  99.93498 100.37430  99.69453 100.54850  99.39819  99.93498 #>  [69217] 100.12492 100.26465 100.15987 100.07497 100.32447  99.63935 100.04999 #>  [69224]  99.92497 100.48881 100.32447  99.79479  99.56907  99.95499 100.05998 #>  [69231] 100.31949  99.98000 100.15987  99.99500 100.03000  99.91496 100.35437 #>  [69238]  99.98500 100.08496  99.85489  99.91997 100.07497 100.04499 100.29955 #>  [69245] 100.17984 100.07497  99.84989  99.84989 100.02500 100.53855  99.76973 #>  [69252]  99.67949 100.27961  99.65942 100.22475 100.25468 100.09495 100.23971 #>  [69259]  99.75470  99.38310  99.89995 100.40916  99.71961  99.79479  99.97500 #>  [69266]  99.75470  99.99000  99.92497 100.36434  99.84989 100.20479  99.92497 #>  [69273]  99.87492  99.65942 100.40418 100.10494  99.70958 100.48383 100.05498 #>  [69280]  99.86491 100.20479  99.86491  99.67949 100.30454 100.03000 100.30454 #>  [69287] 100.26964  99.95499  99.55903  99.72462 100.37928 100.52860  99.99000 #>  [69294] 100.26964  99.55401 100.53358  99.95999 100.58827  99.59920  99.87492 #>  [69301]  99.77976  99.92998  99.61928  99.87492  99.87492  99.88994  99.74467 #>  [69308] 100.25468 100.26465  99.48869  99.88994 100.08996  99.91997 100.59324 #>  [69315] 100.18483 100.69757 100.06998 100.07997  99.16148  99.32774 100.03499 #>  [69322] 100.07497  99.97500  99.86992 100.31451 100.49876  99.52387 100.03499 #>  [69329]  99.96499  99.72462 100.14490  99.52889 100.49876 100.05498 100.14490 #>  [69336] 100.02500  99.85990  99.87492  99.67447  99.92497 100.08496 100.05498 #>  [69343] 100.21477  99.91997 100.32946  99.50377  99.79980  99.76973  99.87492 #>  [69350] 100.13491  99.97000 100.22475 100.02500  99.97500  99.79980  99.55903 #>  [69357] 100.11493  99.92998  99.49372 100.17984 100.35935 100.44899 100.37928 #>  [69364]  99.62931  99.81984  99.77976  99.74467  99.44848 100.39920 100.51368 #>  [69371] 100.55347 100.08996 100.19481  99.81483  99.67447  99.80982  99.81483 #>  [69378]  99.38813  99.76973  99.80481 100.20479  99.43339 100.19980  99.93998 #>  [69385] 100.02500 100.16486 100.46392 100.61809 100.25966 100.54352  99.86992 #>  [69392] 100.24470 100.26465 100.16486 100.38426 100.04999 100.03499 100.02500 #>  [69399]  99.54898 100.09495  99.70958 100.39920  99.94999  99.53894  99.76472 #>  [69406]  99.94999  99.88994 100.75217 100.48383 100.04499  99.48869 100.04999 #>  [69413]  99.88493  99.94498  99.92998  99.62931  99.74467  99.78477  99.37303 #>  [69420] 100.01500 100.03000  99.73966 100.39422  99.91997 100.41414  99.94498 #>  [69427]  99.76973 100.00000 100.01500  99.70958 100.28958  99.88493  99.78978 #>  [69434] 100.04999 100.00000 100.40418  99.98000  99.58414 100.06498 100.10494 #>  [69441] 100.47388  99.96499 100.13491  99.87993  99.81483  99.72963  99.98500 #>  [69448]  99.94498  99.97500  99.46356  99.97500  99.52387 100.21477 100.15987 #>  [69455] 100.16486  99.66444 100.05498 100.51865  99.73465 100.19980  99.78477 #>  [69462] 100.33942 100.10494 100.45397  99.99500  99.95999  99.62429 100.28460 #>  [69469]  99.94999  99.78477 100.00000 100.17485  99.75971 100.23971  99.40322 #>  [69476] 100.09495  99.80481  99.97500 100.07997 100.20978 100.15987 100.14989 #>  [69483]  99.54396 100.08496 100.39920  99.80982  99.97000 100.16986  99.96499 #>  [69490]  99.59920  99.66945 100.32946  99.92497 100.07997 100.18483  99.73465 #>  [69497]  99.74969 100.44401 100.05998 100.10494  99.95999 100.26465  99.95999 #>  [69504]  99.99000 100.50871 100.10994 100.02000  99.68450  99.89995  99.81483 #>  [69511] 100.20978 100.19481  99.71961 100.07497  99.86992 100.35437 100.24969 #>  [69518] 100.33942  99.87993 100.26465 100.01000  99.62429 100.03000  99.97500 #>  [69525]  99.37807  99.60422 100.58827  99.87492  99.93998 100.54850 100.47885 #>  [69532] 100.07497 100.30454  99.58414 100.06998 100.11493 100.01000  99.70456 #>  [69539] 100.32447  99.99000 100.47885 100.13491 100.00000 100.16486  99.91496 #>  [69546]  99.85489  99.63935  99.57911 100.56341 100.12992 100.13990  99.86491 #>  [69553] 100.00000  99.65942  99.44848  99.36800  99.77976  99.65942 100.05498 #>  [69560]  99.71459 100.22974 100.05498 100.14490 100.05498  99.88493  99.67949 #>  [69567]  99.95999  99.94999  99.84989 100.24969  99.82485 100.19980  99.54898 #>  [69574]  99.51884  99.85990  99.94498 100.83650  99.90996  99.55401  99.61928 #>  [69581] 100.14490 100.32447  99.97000  99.76472 100.12492 100.01500  99.97500 #>  [69588]  99.58916 100.30454  99.47361 100.02500  99.91496 100.24969  99.85489 #>  [69595] 100.29955  99.76472 100.37928 100.32946 100.46392  99.38813  99.72963 #>  [69602]  99.90996  99.65440  99.42334 100.78690 100.08496  99.61928  99.51382 #>  [69609]  99.79479  99.99000 100.13491 100.41912  99.68952 100.01000  99.96499 #>  [69616]  99.77976 100.00000 100.19481 100.26964 100.14989  99.87993  99.89494 #>  [69623] 100.24470 100.02000  99.73465 100.05998  99.60924 100.19980 100.47885 #>  [69630]  99.81483  99.99000 100.31451 100.22974  99.88994 100.26465  99.79980 #>  [69637] 100.13491  99.80481  99.65440  99.97500  99.97000  99.87492  99.85990 #>  [69644]  99.90495 100.23472  99.77976  99.71961 100.06998 100.01500  99.39819 #>  [69651] 100.31451  99.35794  99.77475 100.25966  99.89494 100.18483 100.05998 #>  [69658]  99.97000 100.21477  99.69955  99.86992  99.76973  99.38813  99.73966 #>  [69665] 100.00500 100.03000 100.01000  99.93998  99.91997  99.90495  99.72963 #>  [69672] 100.28460  99.81483  99.89494 100.39422 100.09495 100.02500  99.76973 #>  [69679]  99.88493 100.02500  99.36297  99.83486 100.31451  99.81483 100.20978 #>  [69686] 100.23971 100.01000  99.91997 100.45397  99.86491 100.06998  99.76973 #>  [69693] 100.16986  99.63935 100.04499 100.20479  99.84488  99.77475 100.28460 #>  [69700] 100.04999  99.98000  99.62429 100.38924  99.87993 100.25468  99.93998 #>  [69707] 100.05998 100.80179 100.15987 100.33444 100.56838 100.33942  99.84989 #>  [69714]  99.93998  99.60924  99.79479 100.08496 100.28460 100.00000 100.21976 #>  [69721]  99.89995 100.08996 100.22475 100.58330  99.82986  99.52387  99.81984 #>  [69728]  99.97000  99.50377  99.85489  99.82986  99.45351 100.50871 100.19980 #>  [69735] 100.41912 100.12492  99.58916 100.14490 100.01000 100.24470  99.50879 #>  [69742]  99.82986 100.00500  99.54396  99.66444  99.84488 100.07997  99.90495 #>  [69749] 100.04499 100.07997 100.27961 100.46890  99.69955  99.86992 100.18982 #>  [69756] 100.46890 100.02500  99.85489  99.56907 100.66777  99.95499 100.05498 #>  [69763]  99.71459 100.02000 100.03499  99.67447  99.75470  99.86491  99.72963 #>  [69770] 100.31451 100.28460 100.04999  99.93998 100.10994  99.87993  99.94498 #>  [69777]  99.82986  99.71961 100.36932  99.86491 100.04999 100.56341 100.48383 #>  [69784]  99.74467  99.56907  99.81984 100.57336  99.36297 100.44401 100.37430 #>  [69791]  99.97000  99.75971 100.17485 100.03999  99.38310 100.26964 100.09495 #>  [69798] 100.22475 100.05498  99.28243 100.10494 100.38426  99.77475  99.38813 #>  [69805]  99.65942  99.76973  99.61426  99.39819  99.61426  99.95999  99.59418 #>  [69812] 100.14989  99.95499 100.12492  99.59920 100.30952 100.54850  99.59920 #>  [69819] 100.01000 100.41912  99.77475 100.25468 100.05998  99.43842 100.35935 #>  [69826]  99.44848 100.03999 100.41912  99.95999  99.81483  99.72462 100.49876 #>  [69833]  99.78477 100.09495 100.16986 100.40418 100.11493  99.38813 100.20479 #>  [69840] 100.30952 100.24470  99.82986 100.26465  99.91496  99.49874  99.73966 #>  [69847] 100.04499 100.03000 100.28958  99.93498 100.29955  99.98500 100.02500 #>  [69854] 100.19481  99.89995 100.12492 100.13990 100.06998 100.05998 100.38924 #>  [69861] 100.22974  99.75971  99.63935 100.32447 100.05498  99.90996 100.51368 #>  [69868] 100.11993 100.11493 100.20978  99.80481 100.33444 100.63797 100.24470 #>  [69875]  99.44345 100.05998 100.14490  99.67447 100.22475 100.40916 100.06998 #>  [69882]  99.54396  99.99000 100.10494 100.21976 100.16486  99.52387  99.93998 #>  [69889]  99.63433 100.13491  99.81984  99.54898  99.93998  99.93498 100.19980 #>  [69896] 100.33444 100.35935  99.65942 100.04999 100.19481  99.43339 100.31451 #>  [69903]  99.91997  99.90495 100.02500 100.22974 100.01000  99.73465  99.89494 #>  [69910] 100.14989  99.50377 100.33942 100.57833  99.88994  99.83987 100.39920 #>  [69917] 100.35935  99.72462  99.57409 100.09495 100.08496 100.03499  99.93498 #>  [69924]  99.78477  99.63935  99.87993 100.45895  99.75470 100.37430  99.99500 #>  [69931]  99.57911  99.79479  99.99500 100.10994 100.27462 100.03999 100.54850 #>  [69938] 100.11493 100.52363 100.32447  99.68450  99.53894 100.26465 100.20479 #>  [69945]  99.73966  99.87993  99.93498  99.75470 100.09495  99.84488 100.30454 #>  [69952]  99.92998 100.35437  99.87492  99.73966 100.46890  99.77475  99.72462 #>  [69959]  99.53894 100.11993  99.50377 100.02000 100.31451 100.25966 100.45397 #>  [69966] 100.27961  99.51884 100.10994  99.20685  99.70958 100.22974 100.45397 #>  [69973]  99.95499 100.33444 100.06998  99.53894  99.54396  99.98000 100.17984 #>  [69980]  99.81483 100.22475 100.15488 100.22974  99.32774  99.67447  99.78978 #>  [69987] 100.17984  99.54898  99.90495 100.05498  99.73465  99.90996 100.28958 #>  [69994] 100.05998 100.53358 100.03499 100.14989 100.18982 100.43904  99.61928 #>  [70001] 100.03000 100.04499 100.03000  99.91496  99.88493 100.41912  99.48869 #>  [70008]  99.82986  99.68450 100.10494 100.31949 100.44899 100.05998  99.97000 #>  [70015] 100.04499  99.80481  99.77976  99.94999 100.25468  99.89995 100.00500 #>  [70022] 100.33942 100.22974 100.18982 100.02000 100.23472 100.18483 100.64790 #>  [70029] 100.03000  99.78477  99.83486 100.03999  99.59920  99.58414  99.99000 #>  [70036] 100.64293  99.84488  99.57911 100.32946  99.81984  99.76472  99.55401 #>  [70043] 100.26465 100.80675 100.41912  99.77475  99.86491  99.76472  99.85990 #>  [70050]  99.89494 100.09995 100.41912  99.55903  99.93498  99.97000  99.78477 #>  [70057] 100.38426 100.03499  99.80481  99.98500  99.79479  99.95999  99.89494 #>  [70064]  99.84488 100.14490 100.40916 100.19481 100.31451  99.79980 100.16986 #>  [70071] 100.18483 100.07997  99.73465 100.15987 100.33942 100.15987  99.53894 #>  [70078]  99.91997  99.95499 100.12992  99.67949 100.30454 100.22475 100.04499 #>  [70085] 100.05998  99.94498  99.99000 100.12992 100.02500  99.99000  99.85489 #>  [70092]  99.75971 100.59821 100.03000 100.08996  99.76973  99.88994 100.18483 #>  [70099]  99.77475 100.02500  99.61928  99.94999  99.62931 100.03000 100.26465 #>  [70106]  99.79479 100.30454 100.44401  99.76472  99.65942  99.94498 100.37928 #>  [70113]  99.91496  99.90996  99.97000 100.31949  99.64939 100.23472 100.67770 #>  [70120]  99.87993  99.83486  99.99500  99.97000 100.36932  99.67949  99.95999 #>  [70127] 100.45397  99.70958 100.11493 100.08496  99.64437 100.39920  99.41831 #>  [70134]  99.98000 100.26465 100.09495  99.93998  99.95999 100.10994 100.01500 #>  [70141] 100.97524  99.85990 100.16486  99.88994 100.02500 100.11493 100.25966 #>  [70148]  99.78477 100.31949  99.99500 100.49876 100.36932 100.33444  99.52889 #>  [70155] 100.18483 100.26964 100.10494 100.29457  99.96499  99.75470  99.78477 #>  [70162]  99.79980  99.58916  99.85990  99.73465 100.03000  99.48869 100.39422 #>  [70169]  99.94498  99.44848 100.60318 100.58827 100.61312 100.11493  99.52387 #>  [70176]  99.93998  99.83987 100.34939 100.38426 100.36932  99.72963  99.99500 #>  [70183]  99.77475 100.00000 100.19980  99.53894 100.24470 100.16486 100.22974 #>  [70190]  99.85990 100.15488 100.05998  99.58414 100.01500 100.21976 100.33444 #>  [70197] 100.56341  99.66444 100.32447  99.63433 100.00000  99.89995  99.72963 #>  [70204] 100.17485 100.00500 100.53358 100.48881 100.47885  99.97000 100.46890 #>  [70211]  99.83987 100.24470 100.41912 100.46890  99.98000 100.57833  99.89995 #>  [70218] 100.56838 100.56341 100.18483  99.92497  99.57911  99.94999  99.67949 #>  [70225] 100.03000  99.70958  99.76973 100.08496  99.84989  99.38813  99.62931 #>  [70232]  99.98500  99.60422 100.26964  99.73465  99.74467 100.50373  99.96499 #>  [70239]  99.71961 100.42410 100.22974 100.01000 100.03000 100.09495  99.30257 #>  [70246] 100.00500 100.11993  99.77976  99.77475 100.26964  99.46859 100.23472 #>  [70253] 100.16986 100.03499  99.97500 100.36434  99.52889 100.17485 100.09495 #>  [70260]  99.95499  99.40825  99.52889  99.59418  99.92497  99.90996  99.82986 #>  [70267]  99.91997  99.81483 100.12492 100.05998 100.37928  99.99000  99.99500 #>  [70274] 100.27961  99.58916  99.68952  99.86491  99.84488 100.11993  99.86491 #>  [70281] 100.01500  99.99000  99.67447 100.38924 100.09995 100.13491 100.40418 #>  [70288]  99.57409  99.78477 100.01000  99.87993 100.11493 100.29457  99.82485 #>  [70295] 100.58827  99.54898 100.28958 100.01000 100.49876 100.23971  99.40825 #>  [70302] 100.16486 100.12992 100.50871  99.74467  99.69453  99.44345 100.07997 #>  [70309] 100.36434  99.80982 100.32946 100.06498  99.59920 100.31949 100.03000 #>  [70316] 100.14989 100.29457  99.65440  99.56405  99.84989 100.27961  99.85990 #>  [70323]  99.57911  99.78477  99.54898  99.60422 100.04999 100.23472 100.13990 #>  [70330] 100.18982 100.36434 100.41912  99.94498 100.38426  99.79980  99.90495 #>  [70337] 100.31451  99.99500 100.16986  99.60924 100.09995  99.88994 100.15488 #>  [70344] 100.21477  99.84989  99.58414  99.64939 100.04499  99.82485  99.82986 #>  [70351]  99.89995  99.91997  99.69453  99.88994 100.40418 100.25966 100.18483 #>  [70358]  99.71459 100.18982  99.81984  99.92497 100.69260 100.22475 100.03000 #>  [70365] 100.37928 100.07997  99.57409  99.98000 100.34939 100.63300 100.14490 #>  [70372]  99.50377 100.37430 100.08496  99.75971 100.27462 100.15987  99.85489 #>  [70379] 100.11493  99.59920  99.77475 100.70253 100.19980 100.29955 100.28958 #>  [70386] 100.06498 100.02500  99.94498  99.76973  99.70958 100.30952 100.12992 #>  [70393]  99.90996 100.03999 100.14989 100.01000  99.67949 100.24470 100.24969 #>  [70400] 100.57336  99.83987 100.36434  99.94999 100.06998  99.67447  99.84488 #>  [70407] 100.31949 100.03999  99.61426 100.12992 100.00500  99.99000 100.11993 #>  [70414] 100.02000 100.01000  99.82986 100.11493 100.28460  99.92497 100.12492 #>  [70421] 100.14490 100.15488  99.84989  99.94999 100.20978  99.64939  99.49874 #>  [70428]  99.85990  99.79980  99.90996 100.02500 100.38924 100.21477 100.03000 #>  [70435] 100.00000 100.05998  99.81483 100.13491  99.70456 100.10494 100.21477 #>  [70442]  99.76472  99.93498 100.27462 100.20978 100.20479  99.73966 100.42908 #>  [70449]  99.97500  99.83987 100.25966  99.51382 100.16486 100.34441 100.07997 #>  [70456]  99.84989  99.76973 100.04499 100.06498 100.39920  99.47864  99.85489 #>  [70463] 100.19481  99.86491  99.69955  99.69955 100.30952 100.26964  99.70958 #>  [70470]  99.91997 100.02000  99.99500  99.37303 100.04999 100.14490 100.27961 #>  [70477]  99.92497 100.20978  99.50879 100.35437  99.80982 100.16486 100.05998 #>  [70484]  99.77475 100.03000  99.61426 100.07997 100.34939 100.08996  99.75470 #>  [70491]  99.81984 100.18483  99.76973  99.97500  99.81483  99.68952  99.85489 #>  [70498] 100.39422  99.85489  99.91496 100.19481 100.13491  99.75971 100.53855 #>  [70505] 100.02000 100.44401 100.03999  99.92497 100.38924 100.53358  99.89995 #>  [70512]  99.64437  99.91496 100.38426 100.52860 100.01500 100.07497 100.40418 #>  [70519] 100.16486 100.05998 100.03499 100.27961  99.86491 100.50373 100.27462 #>  [70526] 100.31949  99.74467 100.27462 100.33444  99.41831 100.22475  99.82986 #>  [70533] 100.22475 100.21477  99.84488 100.09995 100.07997  99.56405 100.33444 #>  [70540]  99.76472 100.24470  99.74969  99.97500  99.97000  99.75971  99.81483 #>  [70547]  99.64437  99.91496 100.52860  99.72462  99.67949 100.15987  99.63433 #>  [70554]  99.81984 100.02500 100.01500 100.14490  99.68952  99.91997 100.17984 #>  [70561] 100.60318  99.88493 100.23971  99.38310 100.07997  99.60422  99.94999 #>  [70568] 100.03000 100.10994 100.57833  99.86491 100.04999 100.13491  99.82485 #>  [70575] 100.00500 100.18483  99.73966 100.47885  99.94498  99.51884 100.65287 #>  [70582]  99.76973 100.07997  99.76472 100.05998 100.06998  99.90495 100.02500 #>  [70589] 100.38924 100.66777 100.34441 100.39920 100.20479 100.16986 100.65784 #>  [70596]  99.95499  99.98000 100.30952 100.36932  99.99000 100.20479 100.16986 #>  [70603]  99.91496 100.07497 100.22974 100.40418 100.60815 100.84146 100.13491 #>  [70610]  99.74969  99.62429  99.40322 100.24969  99.78978  99.89494  99.96499 #>  [70617]  99.48869 100.71743 100.42908 100.37430  99.74467  99.47864  99.80982 #>  [70624] 100.13491 100.24969 100.13491 100.25966 100.26465  99.88994 100.23971 #>  [70631]  99.78477 100.41912  99.46356  99.97500 100.10494 100.07997 100.36434 #>  [70638]  99.99000  99.86992  99.73966  99.50377  99.45853  99.79479  99.81984 #>  [70645] 100.07997  99.68450 100.47388 100.14989 100.06498  99.38310  99.33277 #>  [70652] 100.53358 100.74721 100.38426 100.14989  99.87993 100.51865 100.18483 #>  [70659] 100.18982  99.97000 100.12992 100.30952 100.45397  99.84488 100.11993 #>  [70666]  99.53391  99.78477  99.71961 100.12492 100.67770  99.66444  99.88994 #>  [70673] 100.13491 100.08996  99.73966 100.32447  99.71459 100.08496  99.79980 #>  [70680]  99.56907 100.25966  99.94999 100.17984  99.97500  99.56907 100.13990 #>  [70687] 100.52363  99.77475 100.22974  99.72462 100.15987 100.28958  99.92998 #>  [70694]  99.68952  99.59418  99.85990 100.15488 100.45397  99.47361  99.92998 #>  [70701] 100.21477  99.74467  99.90996  99.31767  99.82485 100.03000 100.06498 #>  [70708]  99.93498 100.26964 100.51865  99.86491 100.08996  99.82485 100.40418 #>  [70715] 100.35437  99.92998 100.13990 100.34939  99.35794  99.90495  99.90495 #>  [70722] 100.42908 100.48881  99.98000  99.91496 100.46392 100.46890  99.65440 #>  [70729]  99.40322 100.11993  99.77475  99.74969  99.87993  99.92998  99.57409 #>  [70736] 100.38924  99.84989  99.88994  99.85489 100.17485  99.93998  99.91496 #>  [70743]  99.97000  99.54396  99.52387  99.55903 100.05998 100.27961  99.67949 #>  [70750] 100.26465  99.74969  99.74969 100.35437 100.01500 100.00000 100.12492 #>  [70757] 100.20479 100.23971  99.68450 100.30952  99.77976  99.94498 100.22475 #>  [70764]  99.52889 100.11493  99.60924  99.92998 100.61809  99.94999  99.70456 #>  [70771]  99.46859  99.49874  99.68952  99.91997  99.84488 100.24969  99.75470 #>  [70778] 100.21477  99.61426 100.54352  99.57409  99.80982  99.35291  99.72963 #>  [70785] 100.48881 100.33942 100.20978 100.21477 100.16486  99.59418 100.12992 #>  [70792] 100.33942  99.78978  99.74467 100.40418  99.48367 100.10994  99.38813 #>  [70799]  99.72963  99.75470  99.76472 100.62306 100.58330  99.91997  99.86992 #>  [70806]  99.45351 100.57833  99.90996 100.13491  99.95999 100.01500  99.64939 #>  [70813] 100.09995 100.21477 100.11993  99.83486  99.85489  99.89494 100.07997 #>  [70820] 100.45895  99.86491  99.93998 100.54850  99.67447  99.50377  99.84989 #>  [70827] 100.10494 100.24470  99.85489 100.02500  99.98500 100.36434  99.49874 #>  [70834]  99.82485 100.22475 100.08496 100.55347  99.91997 100.15987 100.27961 #>  [70841] 100.44401  99.66945  99.57409  99.77475 100.12492  99.25724 100.48383 #>  [70848]  99.39819  99.51382 100.14490  99.58414  99.83987 100.33942  99.64437 #>  [70855]  99.89995  99.69453  99.63935  99.99500  99.43339  99.88493 100.20978 #>  [70862]  99.76472 100.73232 100.16986 100.11493 100.25468  99.98500  99.82986 #>  [70869]  99.58916 100.26465  99.89494  99.60422 100.40916  99.89494 100.02500 #>  [70876] 100.27462 100.02000 100.63300  99.87492  99.86491  99.96499 100.20479 #>  [70883] 100.43904 100.03499 100.01500 100.06498 100.00500  99.68952 100.31949 #>  [70890]  99.58916 100.03999 100.10994 100.23472  99.70958  99.72963  99.88994 #>  [70897]  99.95999 100.22475 100.46890 100.29955 100.29457  99.82485 100.06998 #>  [70904] 100.38426  99.85990 100.11993 100.50871  99.65942 100.03000  99.78477 #>  [70911]  99.75470 100.23971  99.89494 100.26465 100.35437 100.19481 100.10994 #>  [70918]  99.86491  99.70958 100.28958 100.18483  99.62429 100.12492 100.00000 #>  [70925] 100.02000 100.07497  99.81483 100.15987 100.42908  99.67447 100.60318 #>  [70932]  99.58414 100.03499  99.94999 100.46392  99.66444  99.86992  99.62429 #>  [70939] 100.72239  99.98500  99.88493 100.70750  99.95499  99.91997 100.01500 #>  [70946]  99.73465  99.47864  99.87993 100.32946  99.73465  99.99000  99.77976 #>  [70953] 100.39920 100.61312 100.46392  99.97500 100.24969  99.55903 100.61312 #>  [70960] 100.04999 100.22475  99.55401 100.06498 100.12492 100.38924 100.14989 #>  [70967] 100.27961 100.61809 100.16986  99.84989  99.92497 100.21477 100.27961 #>  [70974]  99.90996 100.75713 100.04499 100.36932  99.93998 100.09995 100.36932 #>  [70981] 100.29457  99.71961  99.64939  99.80481 100.22974 100.06498  99.66444 #>  [70988] 100.13491  99.98000 100.20479  99.94999  99.88994  99.86491 100.14989 #>  [70995]  99.98000 100.06498  99.90996 100.06998 100.04999 100.14989  99.98000 #>  [71002] 100.05498 100.40916 100.29955  99.90495 100.05998 100.13990  99.73465 #>  [71009] 100.10494  99.95999  99.71459  99.89494  99.72462 100.23971  99.92497 #>  [71016] 100.00000  99.78477 100.21477  99.78978 100.06998  99.75470  99.95999 #>  [71023]  99.86491  99.83486  99.64939 100.35437 100.24969  99.50377 100.41414 #>  [71030] 100.01500 100.08996  99.87993  99.75470  99.99000 100.23971  99.39819 #>  [71037]  99.85489 100.02000 100.15488  99.76973  99.96499 100.09995  99.66945 #>  [71044] 100.16486  99.98500 100.84146 100.61809  99.62931  99.94498 100.08996 #>  [71051]  99.58916  99.51884  99.96499 100.06998 100.21976 100.12492 100.58827 #>  [71058]  99.84989  99.95999 100.26465 100.39920 100.00500  99.36800 100.34939 #>  [71065]  99.80982  99.75470 100.11993 100.35437  99.98500  99.73966 100.32946 #>  [71072]  99.79479  99.85489 100.32946 100.29457 100.01500 100.45895  99.92998 #>  [71079]  99.77475  99.62429 100.34441 100.18483  99.48367 100.12992 100.24470 #>  [71086]  99.76472  99.82485  99.96499 100.22475 100.04999 100.25468  99.82485 #>  [71093] 100.29457  99.78477 100.10994 100.12492  99.71459  99.88493 100.26964 #>  [71100] 100.16986 100.16486  99.98500  99.69955  99.38813  99.93998  99.83486 #>  [71107] 100.35935 100.14490  99.55401 100.06498 100.05998 100.51865  99.67447 #>  [71114]  99.89494  99.61426  99.62429 100.06498  99.81984 100.00000  99.84488 #>  [71121]  99.79980  99.73966 100.12992  99.93998 100.30454  99.58414 100.06998 #>  [71128]  99.84488 100.07497 100.07997 100.18982 100.26964  99.90495 100.39422 #>  [71135] 100.47388 100.00000 100.18483  99.49372 100.15987 100.33942 100.09995 #>  [71142] 100.04999  99.94498  99.56405 100.17984  99.84488  99.78978 100.05498 #>  [71149]  99.45853  99.69955  99.82986  99.92497  99.87492 100.40916  99.95499 #>  [71156]  99.48367 100.32946  99.80982 100.21976 100.08496 100.03999  99.64437 #>  [71163]  99.76472 100.11993 100.75713  99.83486 100.11993  99.60422 100.15488 #>  [71170]  99.89995 100.36932 100.04999  99.85990  99.97500 100.04999 100.01500 #>  [71177] 100.40916 100.29955  99.84488 100.20479  99.65440  99.37807  99.97000 #>  [71184] 100.63797  99.72963 100.42908  99.74969  99.82986  99.67949 100.45895 #>  [71191] 100.30454  99.66444 100.18483  99.85489 100.17485  99.99000 100.09495 #>  [71198] 100.02000  99.62429  99.87993 100.15987 100.25966  99.73966  99.90495 #>  [71205]  99.84989 100.27961 100.29457  99.49874 100.05998  99.74467  99.70958 #>  [71212] 100.14490  99.53894 100.21976 100.14989  99.43842  99.65440 100.11493 #>  [71219]  99.77976  99.73465 100.04999  99.63935 100.08496  99.78477  99.89494 #>  [71226]  99.99500  99.97000  99.57911  99.68450 100.54850  99.95499  99.66945 #>  [71233] 100.16986 100.03000 100.19481 100.26465  99.40825 100.08496 100.14490 #>  [71240] 100.02500 100.03499 100.16986 100.34939  99.75470 100.34441  99.79980 #>  [71247] 100.09995  99.93498  99.43339 100.29955  99.75470  99.59418  99.84488 #>  [71254] 100.19980  99.63433  99.77475  99.94498  99.95499 100.51865  99.75971 #>  [71261] 100.17485  99.82986 100.28958 100.20479 100.08996  99.85990  99.83486 #>  [71268]  99.45351  99.32774  99.99000  99.88493 100.12492  99.86992 100.14989 #>  [71275]  99.58414  99.89995 100.26465  99.87492 100.04999 100.26465  99.82986 #>  [71282]  99.63935  99.59920 100.15987 100.44401  99.37807  99.61426 100.36932 #>  [71289] 100.04499 100.13491  99.77976 100.33444  99.85489 100.22974 100.37430 #>  [71296] 100.24470 100.18483  99.88493 100.06498 100.41414 100.06998 100.33942 #>  [71303]  99.70958 100.54352  99.98000  99.73966  99.83486 100.26964  99.77976 #>  [71310] 100.18982 100.09995  99.67447  99.78477  99.64437 100.20978  99.35291 #>  [71317] 100.27462 100.61312  99.81984  99.41831  99.84488  99.82986 100.01500 #>  [71324]  99.68952 100.10994  99.73966 100.13990 100.28958  99.62429  99.98000 #>  [71331] 100.38924 100.14490 100.30952 100.21976 100.01500 100.01000  99.98500 #>  [71338] 100.11493 100.67770  99.71459  99.92998 100.28958 100.22475 100.14989 #>  [71345]  99.79479 100.23472  99.69453 100.25468 100.12992  99.69955  99.80982 #>  [71352]  99.80481 100.25468  99.98500 100.67274  99.96499  99.87993  99.56405 #>  [71359]  99.57409  99.93498 100.53358 100.82162  99.46859 100.22974 100.10494 #>  [71366] 100.02000  99.91997 100.15488  99.90996  99.93998 100.19481 100.21477 #>  [71373]  99.38310 100.08496 100.02500 100.53358  99.78978  99.92998 100.13990 #>  [71380] 100.32447  99.96499 100.15987 100.56341  99.58916 100.03999  99.85990 #>  [71387] 100.26465 100.05498 100.09495  99.42334 100.24470 100.08996  99.76973 #>  [71394] 100.47885  99.60924  99.79980 100.46890 100.33444 100.00500 100.20978 #>  [71401]  99.43339  99.88493 100.24470  99.54898  99.66444 100.02500  99.83486 #>  [71408] 100.15987  99.99000 100.22475  99.65942 100.07997  99.70958 100.13491 #>  [71415]  99.85990 100.08496 100.46890  99.83987 100.53855 100.13990  99.94999 #>  [71422]  99.61426 100.36434 100.17984  99.78978  99.48869  99.87993 100.03499 #>  [71429] 100.32946  99.98000  99.44848 100.03499 100.34441  99.98500  99.94999 #>  [71436]  99.95499  99.97000  99.65942 100.03999 100.18483 100.05998  99.89494 #>  [71443]  99.92998  99.69955  99.49874 100.13491 100.03499 100.07997  99.40322 #>  [71450] 100.77202 100.05998  99.77475  99.54898  99.92998  99.82485  99.90996 #>  [71457]  99.95499 100.19980 100.04499 100.03000  99.98500 100.06498  99.99500 #>  [71464] 100.36434  99.95999  99.43339  99.42334 100.18483  99.81984 100.32946 #>  [71471]  99.81984 100.40916  99.90996  99.41328 100.52363  99.95499 100.03999 #>  [71478] 100.23472 100.03499 100.08496  99.72963 100.19980 100.35437  99.85990 #>  [71485] 100.24969  99.29250 100.17984  99.48367  99.86491 100.21477 100.10494 #>  [71492]  99.82986  99.57911 100.06498  99.90996  99.70456  99.78978  99.85990 #>  [71499]  99.74969  99.92497  99.64939  99.30760 100.35935  99.60924  99.78978 #>  [71506]  99.74969  99.51382  99.77976  99.82986  99.58916  99.77475 100.03000 #>  [71513] 100.13990  99.75971 100.16486  99.74467  99.88493  99.89995 100.28958 #>  [71520] 100.38924  99.46356  99.78477 100.23472 100.53855 100.38924 100.14490 #>  [71527]  99.29250 100.37430 100.56838 100.09995 100.34939  99.99500 100.18483 #>  [71534] 100.00000 100.09995 100.09495 100.45397 100.04499  99.77475  99.95999 #>  [71541] 100.33444 100.31949  99.55903 100.13990  99.99000  99.74467 100.17485 #>  [71548] 100.29457 100.21976  99.85489  99.73465  99.95999  99.59418 100.38924 #>  [71555] 100.09495 100.00000 100.37430 100.29457 100.24969  99.66444  99.91496 #>  [71562] 100.01500 100.53855  99.78477 100.06498 100.08496  99.91997  99.33277 #>  [71569]  99.95499 100.34939 100.06998  99.69955 100.30454 100.03499 100.08996 #>  [71576] 100.16486 100.14989  99.98500 100.41912 100.84146  99.67447  99.83486 #>  [71583] 100.51368 100.20978  99.83486 100.18483  99.82485 100.36434  99.55903 #>  [71590] 100.10494  99.98000 100.49378 100.02500  99.99000 100.08996 100.19980 #>  [71597]  99.71961 100.10494  99.94498  99.93998 100.60318  99.73966  99.90996 #>  [71604] 100.08996  99.39316  99.84989 100.23472  99.94498  99.79980  99.44345 #>  [71611] 100.12492 100.21477 100.05998 100.30454  99.69955  99.68450  99.76472 #>  [71618] 100.62306 100.10494  99.86992  99.34787 100.42908  99.92497  99.76973 #>  [71625] 100.40916  99.97000 100.19481 100.63797  99.93998  99.47864 100.18982 #>  [71632]  99.63433  99.86491 100.24969  99.53894  99.97000  99.93498  99.99500 #>  [71639] 100.00000  99.90996 100.17984 100.06998 100.25966 100.07997  99.87492 #>  [71646]  99.67949 100.36932 100.02500 100.41912 100.42410  99.93998  99.91997 #>  [71653]  99.56907  99.70456  99.85489 100.17485  99.91997  99.63935 100.34441 #>  [71660]  99.84488 100.17485  99.92497  99.97000  99.65942  99.87993 100.10994 #>  [71667]  99.98000 100.00000  99.91496 100.27961  99.63935  99.78978 100.29955 #>  [71674]  99.94999 100.12492 100.03999  99.45351 100.23971  99.91997  99.91496 #>  [71681]  99.95999  99.72462 100.40418 100.33444  99.75470 100.15987 100.15987 #>  [71688]  99.89494 100.48383 100.21477 100.22974  99.66945 100.05998 100.16486 #>  [71695]  99.80481  99.56907 100.00000  99.68952 100.16486  99.32774  99.87993 #>  [71702]  99.74467 100.10494  99.92497 100.38426 100.02000 100.23472  99.84989 #>  [71709] 100.30454 100.25468 100.39422  99.98500  99.87993 100.48881 100.14989 #>  [71716] 100.61809  99.51884  99.82986 100.11493 100.45397 100.16486 100.03000 #>  [71723]  99.86992  99.56405  99.84989 100.22974  99.77475  99.74467 100.14490 #>  [71730] 100.15488  99.75971 100.33942 100.09995 100.00000  99.50879  99.56907 #>  [71737]  99.97000  99.61928  99.94999  99.60924  99.82986  99.61928 100.14490 #>  [71744]  99.82986 100.21976 100.51368 100.00000 100.35935 100.32946 100.06498 #>  [71751] 100.15488  99.62429 100.27961  99.89494 100.32447  99.65440  99.86491 #>  [71758]  99.91997 100.25966 100.12492  99.94498  99.73465 100.15987 100.35437 #>  [71765]  99.84488 100.11493  99.94498 100.02500  99.89995 100.10494 100.33444 #>  [71772]  99.90996  99.69955  99.88994 100.23472  99.61928 100.33444  99.89494 #>  [71779]  99.93998  99.94498 100.27462 100.65784  99.97500 100.18982 100.21976 #>  [71786] 100.01500  99.88493 100.04499 100.29955 100.07997 100.00000 100.16486 #>  [71793] 100.18483  99.73966  99.99500  99.99500  99.93998 100.32946  99.57409 #>  [71800] 100.62306 100.52363  99.74467 100.48881  99.69453 100.26465  99.88493 #>  [71807] 100.44401  99.87492  99.75470 100.52860 100.20978 100.03499 100.03499 #>  [71814] 100.70750 100.16986 100.51368  99.65942 100.36434 100.10494 100.08996 #>  [71821]  99.50377 100.17984 100.13491 100.20479  99.62429  99.77976 100.08496 #>  [71828]  99.95999 101.01485 100.05998 100.51865 100.36434 100.45895 100.17485 #>  [71835]  99.95999 100.29457  99.89494 100.41912  99.60422 100.41912  99.82986 #>  [71842]  99.55903 100.18483  99.65942  99.82485  99.84989 100.15987  99.82986 #>  [71849] 100.05498 100.56838 100.07997 100.02000 100.34441  99.98000  99.63935 #>  [71856]  99.65942 100.33444  99.56405  99.79479  99.69955  99.78978 100.42908 #>  [71863] 100.06998  99.58414 100.08996 100.08496  99.60422 100.06498 100.56838 #>  [71870]  99.99500  99.85990 100.26964 100.02000 100.16486 100.14989  99.94498 #>  [71877] 100.16486 100.60815  99.75470 100.35935 100.53855 100.21477  99.51884 #>  [71884] 100.22974 100.45397 100.13990 100.56341 100.14490 100.19980 100.09495 #>  [71891]  99.85990  99.84488  99.52387  99.88493 100.21477 100.18483 100.21976 #>  [71898]  99.61928  99.88994  99.81483  99.61928  99.84989 100.02000  99.65440 #>  [71905]  99.52387 100.33444  99.51382 100.18483  99.48367 100.27961 100.00500 #>  [71912]  99.88994  99.97000  99.92998 100.62803 100.47885 100.32447  99.87492 #>  [71919] 100.11993  99.98000  99.87993 100.37430  99.88994 100.27961  99.95999 #>  [71926] 100.03999 100.20978 100.31949  99.92497  99.99000 100.17984  99.77976 #>  [71933]  99.71961  99.68952  99.87492 100.01500 100.12492  99.79980  99.92497 #>  [71940] 100.42410 100.30454 100.05998 100.15987 100.65287  99.86491 100.38426 #>  [71947] 100.07997 100.02500 100.05998 100.15987 100.74721  99.61928  99.52889 #>  [71954] 100.79186 100.35437 100.15987 100.00000 100.35935 100.19980 100.05498 #>  [71961] 100.32447 100.03999 100.07497  99.54396 100.38426 100.16486 100.15488 #>  [71968] 100.12992 100.09995 100.09495 100.03499 100.18982  99.78477  99.85489 #>  [71975] 100.27961 100.02500 100.17984 100.22974  99.97000 100.28460  99.87492 #>  [71982] 100.15987 100.84146  99.93498 100.41414 100.41912 100.17984 100.07497 #>  [71989]  99.88994 100.28460 100.06998  99.64437  99.84989 100.12992  99.64939 #>  [71996] 100.57336 100.08496  99.83987  99.85990 100.24969 100.23971 100.08996 #>  [72003]  99.73465  99.84488  99.72462  99.98000  99.49874  99.68952 100.13491 #>  [72010] 100.30454  99.38310 100.33444 100.55347  99.68952 100.07997 100.14989 #>  [72017]  99.92497  99.83987 100.45895  99.32774  99.98000 100.01500 100.64293 #>  [72024]  99.93498 100.03999  99.66444  99.85990 100.01500  99.72462  99.96499 #>  [72031]  99.72462 100.11993 100.59324  99.90495 100.04499 100.07997  99.62429 #>  [72038]  99.93498  99.97500  99.93498 100.23472 100.22974 100.21477 100.32946 #>  [72045]  99.94498  99.58414 100.00000  99.51382 100.34441  99.83987 100.01500 #>  [72052] 100.45895  99.68952 100.02500  99.97000  99.60924 100.15987  99.81483 #>  [72059]  99.88493 100.14989 100.20978  99.88493  99.86491 100.40418  99.84989 #>  [72066] 100.02500  99.34284 100.44899  99.66945 100.32447 100.06998  99.90996 #>  [72073]  99.74467  99.51884 100.04499 100.10494 100.48383  99.90495 100.12492 #>  [72080]  99.98000  99.78477  99.90996 100.02500 100.03999  99.83486 100.12992 #>  [72087]  99.87993  99.73966 100.36434  99.30257  99.92497  99.69955 100.04499 #>  [72094] 100.17984 100.19980  99.98000 100.29955 100.18982 100.00000  99.91997 #>  [72101] 100.34939  99.97000  99.83486 100.46392 100.70253  99.54898  99.47361 #>  [72108]  99.93498  99.69955  99.83486 100.45397 100.38924  99.96499 100.39920 #>  [72115]  99.96499 100.21477 100.20479  99.79479 100.27462 100.10494 100.07997 #>  [72122]  99.65942 100.30952 100.00000 100.03000  99.88994  99.99500  99.86992 #>  [72129] 100.01000 100.63797 100.20479 100.51368 100.47388 100.10494  99.80481 #>  [72136] 100.27961  99.82986  99.94999  99.67447  99.98000 100.04499  99.59418 #>  [72143]  99.70456 100.06498  99.67949  99.94999 100.06498  99.99500  99.73966 #>  [72150] 100.15987 100.03999 100.02000 100.30454 100.31949 100.39422 100.35935 #>  [72157]  99.84989  99.56907  99.36297  99.76472  99.62931  99.52889 100.15987 #>  [72164]  99.35291 100.53358 100.21477 100.10494 100.31451 100.08496  99.71459 #>  [72171] 100.09995  99.85990  99.66945  99.58916  99.41328 100.26465 100.04499 #>  [72178]  99.92497  99.93498  99.88493  99.84989  99.73465 100.09495  99.97500 #>  [72185]  99.45853  99.88994 100.21976  99.87993 100.25966  99.42334 100.02000 #>  [72192]  99.83486 100.05998  99.98500 100.10994 100.45397  99.59418  99.55903 #>  [72199]  99.91496 100.17984 100.26964  99.64437  99.90996 100.47388  99.85489 #>  [72206]  99.83987  99.93498 100.69260 100.18982 100.15987 100.11493  99.47864 #>  [72213] 100.38426 100.30454  99.45351  99.57911  99.82986 100.17984  99.86491 #>  [72220] 100.06998  99.76472  99.90495  99.63935 100.59324 100.02500  99.99500 #>  [72227] 100.03499  99.80982  99.85990  99.83987  99.89494 100.19481  99.67447 #>  [72234] 100.16986  99.70958 100.17984  99.69955 100.12492  99.67949  99.80481 #>  [72241]  99.67447 100.34441  99.78978  99.50879 100.11993  99.86992 100.18483 #>  [72248]  99.75971 100.03499  99.70456 100.36434  99.34787  99.96499  99.40825 #>  [72255]  99.88994 100.21976 100.54352 100.07997  99.78477 100.08996 100.19481 #>  [72262] 100.19980  99.77976  99.92998 100.22974 100.11493  99.98000  99.83987 #>  [72269] 100.50871  99.90495  99.73966  99.77475  99.97500  99.63935  99.78978 #>  [72276] 100.74225  99.92497 100.40916  99.88493  99.93498  99.75470 100.39422 #>  [72283]  99.98500 100.03499  99.65942  99.59920  99.99000 100.43406 100.06498 #>  [72290]  99.49372 100.63797  99.78477 100.14490  99.88994  99.85489 100.00000 #>  [72297]  99.64939  99.96499 100.11493 100.29457 100.02500 100.18982 100.19481 #>  [72304]  99.71961 100.03999 100.26465 100.28958 100.11493  99.66444  99.71961 #>  [72311] 100.19481 100.17984 100.11993  99.60924 100.70750  99.80481 100.09995 #>  [72318] 100.23971  99.94498  99.93498  99.62429  99.77475 100.33942  99.91496 #>  [72325] 100.11993 100.04499 100.61312 100.59324  99.97000  99.86491  99.73966 #>  [72332]  99.54396  99.90996  99.98000 100.19481 100.23971 100.03000  99.62429 #>  [72339] 100.22974 100.32946  99.88493  99.58414  99.68450 100.04499  99.51382 #>  [72346] 100.26964 100.36434  99.66945  99.87993 100.24470 100.12492 100.15987 #>  [72353]  99.53391  99.87492 100.28460  99.94498 100.13491  99.79980  99.63935 #>  [72360] 100.31451 100.03999 100.38924 100.35437 100.14490 100.12492 100.70750 #>  [72367]  99.41831 100.35437  99.42837  99.63935 100.03999 100.37928 100.14490 #>  [72374] 100.26465  99.86491  99.97000 100.01500  99.92497  99.98500 100.33942 #>  [72381] 100.01000  99.76472  99.82986 100.02500  99.99000 100.09495  99.89995 #>  [72388]  99.63433 100.25966  99.77976 100.01000  99.94498 100.62306 100.28460 #>  [72395]  99.67949  99.97500 100.31451  99.65942 100.01500 100.32447  99.55903 #>  [72402]  99.90996 100.68267 100.61312  99.49874 100.20978 100.72239 100.47885 #>  [72409] 100.18982  99.67949 100.16486  99.93998 100.59324 100.18982  99.85489 #>  [72416] 100.52363  99.76973  99.84989 100.24470  99.99500  99.90996  99.65440 #>  [72423] 100.49876 100.11993 100.06998 100.13491 100.59324  99.88994 100.13491 #>  [72430] 100.61312 100.43406 100.10494 100.45895 100.23971  99.97000  99.79980 #>  [72437]  99.63433  99.86992  99.99500 100.19980 100.22475 100.24969  99.64437 #>  [72444] 100.17984  99.97000  99.87993 100.39422 100.05498  99.85990 100.14490 #>  [72451]  99.69453  99.78978 100.14490 100.10494 100.03000  99.75470  99.97500 #>  [72458] 100.14490 100.31451 100.06498 100.11993  99.52889 100.18483 100.01500 #>  [72465] 100.27462  99.72462 100.18982 100.17984  99.64437  99.90996  99.68952 #>  [72472] 100.20978  99.82986  99.66444 100.08996  99.85990 100.10494 100.09995 #>  [72479]  99.97500 100.04499  99.89494 100.08996  99.86491 100.23472 100.03000 #>  [72486]  99.76973  99.90996 100.18483 100.09495  99.92998  99.68450  99.85990 #>  [72493] 100.05998 100.17485  99.86491 100.27462  99.86491 100.07997 100.02500 #>  [72500] 100.25468 100.38924 100.33444 100.22475  99.77475 100.26465 100.10994 #>  [72507] 100.27462 100.41414 100.20978  99.48869 100.15488  99.81984  99.67949 #>  [72514] 100.34441  99.86491  99.90495 100.02000 100.23472 100.00500 100.04499 #>  [72521]  99.64437 100.29457  99.61426  99.48869  99.67949 100.02500  99.91496 #>  [72528] 100.39920 100.32946  99.45853  99.87492 100.13491 100.26964  99.58916 #>  [72535]  99.92998  99.72462 100.03999  99.37303  99.54396  99.61426  99.79980 #>  [72542] 100.49876 100.07997  99.89494  99.66444 100.08996  99.97500  99.83987 #>  [72549]  99.93998  99.62429 100.48881  99.72963 100.27961 100.09495 100.18982 #>  [72556] 100.09995 100.52363 100.50373 100.22974 100.05498  99.76973 100.09495 #>  [72563]  99.77976 100.22475 100.05498  99.68450 100.06498  99.68450  99.71459 #>  [72570] 100.41912 100.41912 100.27961 100.04499  99.58414 100.33444  99.99500 #>  [72577] 100.15488  99.82485  99.39316 100.29457  99.67447  99.73966  99.78978 #>  [72584] 100.19481  99.57409  99.93998 100.22974  99.93998  99.84989 100.24470 #>  [72591] 100.33942 100.15987  99.96499 100.22475  99.95999 100.11993 100.15488 #>  [72598] 100.17984 100.31451  99.89995  99.73465  99.97000 100.33942 100.18483 #>  [72605] 100.46392  99.80481 100.01000 100.57833 100.43904  99.79980 100.06998 #>  [72612] 100.29955  99.59920  99.54898  99.74467  99.78477 100.55347  99.77976 #>  [72619]  99.64437 100.37928 100.08996  99.98000 100.06998  99.70958  99.83486 #>  [72626]  99.46859 100.24969  99.95999 100.07497  99.92998 100.16986  99.35794 #>  [72633]  99.56405  99.70958 100.45397  99.72462  99.48367  99.82485  99.61426 #>  [72640] 100.17984 100.03499  99.92998  99.77475 100.03999 100.05998  99.65942 #>  [72647] 100.01000  99.96499 100.07497 100.50373  99.82485  99.79980 100.04499 #>  [72654]  99.99000  99.98000  99.62429 100.04499  99.88994 100.58330  99.90495 #>  [72661] 100.50373  99.92998 100.16986 100.67770  99.86992  99.91997 100.16486 #>  [72668] 100.33942  99.63935 100.13491 100.16986  99.80481 100.24969 100.00000 #>  [72675] 100.47388  99.92497 100.25468 100.94058  99.61426 100.45895  99.59920 #>  [72682]  99.50879 100.16986 100.32946 100.20479  99.88994  99.43339 100.19481 #>  [72689]  99.65942  99.86491  99.77976 100.09495 100.44401 100.56341  99.70958 #>  [72696]  99.80481 100.10994 100.31949  99.82986  99.85489 100.62803  99.64437 #>  [72703]  99.86491 100.14490 100.60318  99.56405 100.09495  99.49372 100.35437 #>  [72710]  99.89995 100.43406  99.72462  99.91997  99.45351 100.20978  99.69453 #>  [72717]  99.77475 100.07997  99.94498  99.62429 100.26964 100.23472 100.43406 #>  [72724] 100.02500  99.90495  99.75470 100.07997 100.16986 100.30454  99.23709 #>  [72731] 100.41912 100.11993  99.83987  99.82986 100.10994  99.91997  99.53391 #>  [72738] 100.32447  99.78978  99.85990 100.58330  99.79479 100.49378 100.29457 #>  [72745] 100.24969 100.04999 100.32946  99.75971  99.92998 100.40916 100.36434 #>  [72752]  99.35291  99.95999 100.23971 100.09995  99.80982 100.36932 100.20978 #>  [72759]  99.62429 100.07497 100.56341  99.83486  99.94498 100.12992 100.47388 #>  [72766]  99.69955 100.03000 100.09495  99.83987 100.07997 100.12492 100.38426 #>  [72773] 100.05498 100.23472  99.93498  99.66945  99.81984 100.02000  99.57409 #>  [72780]  99.80982  99.40825 100.24969 100.00000 100.09995  99.89995 100.17485 #>  [72787]  99.62931  99.75470  99.53894  99.65440  99.63433  99.85489  99.75971 #>  [72794] 100.18483  99.61928 100.08496 100.37928  99.59418  99.89995  99.62931 #>  [72801]  99.76472 100.03999  99.91496 100.04999 100.09495 100.79683 100.22974 #>  [72808] 100.22974  99.53894  99.75971 100.07997 100.50871  99.93998 100.39422 #>  [72815] 100.06498  99.48869 100.07497  99.41831 100.09495  99.91496 100.24969 #>  [72822] 100.28958 100.35935 100.03499  99.84488  99.67447  99.93998  99.70958 #>  [72829] 100.04499  99.91496  99.69955 100.02000 100.62306  99.60924  99.99500 #>  [72836]  99.66444 100.22974  99.50879  99.82485 100.35437 100.07997  99.79980 #>  [72843]  99.91997  99.92998  99.93998  99.57911 100.02500  99.75470  99.67949 #>  [72850] 100.35935 100.37928 100.19980 100.34939  99.63433  99.82986  99.95499 #>  [72857] 100.38426 100.77202 100.40418 100.02000 100.29457  99.79980 100.17984 #>  [72864] 100.00500 100.18483  99.92998 100.06498 100.47388 100.60318  99.98000 #>  [72871] 100.18982  99.76472  99.81984 100.10494 100.26964  99.49372  99.81483 #>  [72878] 100.06498 100.11493  99.41831  99.57409  99.65942  99.97500 100.03000 #>  [72885]  99.57409  99.94498 100.11493  99.75470 100.01000 100.16486 100.41912 #>  [72892] 100.07997 100.03999  99.43339  99.98000  99.87993  99.51382 100.43406 #>  [72899]  99.98500  99.84989 100.08496 100.27462 100.49876 100.22475 100.12992 #>  [72906] 100.72735  99.87492  99.66444 100.57336 100.09495  99.84488 100.07997 #>  [72913] 100.12492  99.93998  99.70456 100.20978  99.53894 100.29457 100.24969 #>  [72920]  99.57409  99.90495 100.46392 100.07997 100.01500 100.45397 100.21477 #>  [72927]  99.91997 100.40418  99.92998 100.09995 100.07497 100.07997 100.25966 #>  [72934] 100.25966 100.13990  99.89995 100.08996  99.99000  99.94999  99.86992 #>  [72941]  99.60924 100.09495  99.88994  99.75470  99.58414 100.00500 100.83154 #>  [72948] 100.28460  99.98500 100.17984  99.73966 100.02000 100.49378 100.03000 #>  [72955]  99.63935 100.32946  99.93998  99.34787 100.32946  99.62429  99.83486 #>  [72962] 100.19481  99.85489 100.59821 100.30454 100.14490 100.07997  99.89995 #>  [72969] 100.18982 100.24969 100.34939 100.25468 100.16486 100.21976 100.07497 #>  [72976]  99.99500  99.71961  99.84488  99.92998 100.19980  99.98500 100.02500 #>  [72983]  99.67949 100.46392 100.13491 100.51368  99.82986 100.03000  99.72963 #>  [72990]  99.87492 100.17485 100.51865  99.84488 100.03999  99.58414 100.22475 #>  [72997] 100.01000 100.12992 100.09495 100.42410 100.11493 100.35935 100.00500 #>  [73004]  99.71459  99.95999  99.98000  99.76973  99.65942 100.41414 100.00500 #>  [73011] 100.36932  99.60422  99.48367  99.90996 100.25966 100.17485  99.58916 #>  [73018]  99.89995  99.89494  99.81483 100.33444 100.01500 100.60815  99.96499 #>  [73025] 100.16486  99.73465  99.65440 100.24470  99.73465  99.93498 100.02000 #>  [73032]  99.51884 100.81667 100.13491  99.91496 100.34441 100.15488 100.41912 #>  [73039]  99.80982 100.00500  99.88994  99.66945 100.12492  99.48869  99.87993 #>  [73046]  99.93998 100.10994  99.97000  99.86491 100.38426 100.00500 100.29457 #>  [73053]  99.64437  99.66945 100.45895  99.72462  99.46356 100.06998 100.07997 #>  [73060] 100.79683 100.27462 100.25966  99.67447 100.00500 100.38924  99.97000 #>  [73067]  99.80982 100.17984 100.06998 100.21976 100.39920  99.75971 100.40916 #>  [73074] 100.23472 100.31949 100.30454 100.07497  99.73966 100.22974  99.97500 #>  [73081] 100.31949 100.11493  99.55401  99.88994  99.87993 100.45895  99.68952 #>  [73088]  99.90996  99.77475  99.62931 100.12492  99.49372  99.33781  99.40322 #>  [73095]  99.66945 100.08496 100.06998 100.08996  99.51382 100.63797  99.90996 #>  [73102]  99.97000  99.98000  99.99000  99.69955 100.30454  99.41831 100.13990 #>  [73109] 100.10494  99.71961  99.90495 100.04499 100.40916 100.40418  99.83486 #>  [73116] 100.08496 100.18483  99.80982 100.05498 100.01500 100.53855  99.89494 #>  [73123] 100.40916  99.71961  99.86992 100.30952 100.24969 100.10494 100.08496 #>  [73130]  99.89995 100.14989  99.62931 100.07997  99.94498 100.48383  99.69955 #>  [73137] 100.55844  99.78477  99.99000  99.65942  99.24213  99.63935  99.57911 #>  [73144]  99.89995  99.82485 100.00000 100.55844 100.43904 100.22974 100.44401 #>  [73151] 100.39422 100.42410 100.29457 100.51865 100.32946 100.31451  99.96499 #>  [73158] 100.02000  99.79479 100.19481  99.54396 100.24969  99.98500 100.27462 #>  [73165]  99.57409  99.93498 100.33444  99.75470 100.05498  99.56907  99.98000 #>  [73172]  99.97500  99.51382  99.76472  99.86491  99.75971  99.73966  99.82485 #>  [73179] 100.20978 100.69757  99.39819 100.15488 100.17984 100.17485 100.33942 #>  [73186] 100.17485  99.96499  99.92998 100.04499 100.06498  99.88994 100.05498 #>  [73193] 100.30454 100.06998  99.78978 100.33444  99.78978  99.87492  99.82485 #>  [73200] 100.48881 100.32447 100.11993  99.70958 100.57833  99.58916  99.98500 #>  [73207] 100.10494 100.02000  99.67447 100.23472  99.79980  99.95999  99.85489 #>  [73214]  99.74467 100.46392 100.03499  99.41831  99.89995  99.76472  99.60924 #>  [73221] 100.07497  99.94498  99.93498 100.18483 100.41414  99.96499 100.04499 #>  [73228] 100.36932  99.99000 100.49876  99.47361 100.03000 100.04999  99.74467 #>  [73235] 100.01500 100.44899  99.79980  99.99500 100.07497  99.72462  99.20181 #>  [73242]  99.92998 100.43904 100.24470 100.20978 100.10494  99.55401  99.72963 #>  [73249] 100.32447  99.84989  99.86491  99.99000  99.88994  99.96499  99.85990 #>  [73256]  99.74467  99.37807 100.03499 100.08996 100.11993  99.38813  99.73966 #>  [73263] 100.41912 100.25966 100.29955  99.52387  99.35794 100.24969  99.92998 #>  [73270] 100.10494  99.86992  99.77976 100.52860  99.90996  99.78978  99.21693 #>  [73277] 100.12992 100.24470 100.17984 100.38924 100.31949  99.74969  99.90996 #>  [73284]  99.56907  99.65440  99.67949  99.82485 100.19481  99.94999 100.01000 #>  [73291] 100.34441  99.76973  99.88493  99.94498 100.38924 100.15488 100.18483 #>  [73298] 100.18982  99.91997 100.01500  99.85489  99.86491  99.68450 100.02000 #>  [73305]  99.46859  99.64437  99.61928 100.08496  99.56405 100.26964 100.22974 #>  [73312] 100.19481 100.13491  99.85990  99.98000  99.56405  99.63433  99.56907 #>  [73319]  99.87993 100.59821  99.84488 100.60815 100.20479  99.84488 100.08496 #>  [73326] 100.15987 100.38924 100.05498 100.44401 100.29457  99.85990 100.12492 #>  [73333]  99.64437  99.66945  99.83486  99.81483 100.10994  99.93998  99.62429 #>  [73340]  99.67949 100.10994  99.50377 100.47885  99.92998 100.20978 100.03000 #>  [73347] 100.45397 100.01000 100.07997  99.80481 100.25468  99.74969  99.73465 #>  [73354]  99.68952 100.28958 100.27961 100.22475 100.16486  99.80481 100.09995 #>  [73361] 100.52363  99.91997 100.19481 100.20978  99.90996 100.30454 100.17485 #>  [73368]  99.67949 100.00500  99.48869 100.06498 100.03499  99.83987  99.94498 #>  [73375] 100.05998  99.89494  99.81483  99.73465  99.45853  99.98500 100.14989 #>  [73382] 100.04999 100.31949 100.09495 100.33444  99.84989  99.83987 100.64790 #>  [73389] 100.15488  99.98000  99.78477 100.34939  99.61426 100.26964  99.98000 #>  [73396]  99.77475 100.29457 100.00000  99.72963 100.06998 100.30454  99.54396 #>  [73403] 100.43406 100.30952 100.00000  99.82485 100.39920 100.50871  99.85990 #>  [73410] 100.52363  99.79980  99.87492 100.13491 100.07997 100.33444  99.79479 #>  [73417]  99.78978  99.99500 100.19980 100.31949 100.24470 100.21976 100.15987 #>  [73424] 100.27961  99.71961 100.29955 100.40916 100.08496  99.74969  99.93498 #>  [73431]  99.94999  99.64939 100.22974 100.05998  99.71459 100.01000 100.04499 #>  [73438] 100.37430  99.82986  99.73966  99.76472  99.69955  99.88994 100.31949 #>  [73445] 100.09995 100.19481  99.78978 100.46890  99.92998  99.74467  99.43842 #>  [73452]  99.84989  99.69955 100.09495 100.16486 100.39920  99.93498 100.13990 #>  [73459]  99.77976 100.46890  99.93998 100.34441  99.66945 100.38924  99.66444 #>  [73466] 100.08496 100.10494  99.90996 100.51368  99.64939 100.26964 100.51865 #>  [73473]  99.45351  99.91997  99.97500  99.60924 100.35437  99.66945  99.81483 #>  [73480] 100.15987 100.12992  99.77976 100.45895  99.71961 100.38924  99.55903 #>  [73487]  99.77976 100.04499 100.10994 100.11993 100.18483  99.63433  99.59920 #>  [73494]  99.98000 100.49378 100.00500  99.75470  99.94999 100.15987 100.02000 #>  [73501] 100.03499 100.15987 100.40418  99.84488 100.17984 100.40418 100.23971 #>  [73508]  99.97500 100.06998  99.83486 100.15987 100.71743 100.30952  99.98000 #>  [73515] 100.54352  99.98500 100.09995  99.89494 100.52363 100.16486  99.86491 #>  [73522] 100.09995  99.65942  99.87492  99.97000  99.41328  99.89494  99.92497 #>  [73529]  99.95999  99.65942  99.51884 100.41912 100.34441 100.44899  99.58916 #>  [73536] 100.11493 100.03499  99.86992 100.42908 100.18483 100.23971  99.17661 #>  [73543]  99.56405  99.99500 100.34441  99.92497 100.18483  99.64939 100.70253 #>  [73550] 100.29457 100.05998 100.14989  99.88493 100.21477 100.17485  99.99000 #>  [73557] 100.12492 100.09495  99.35794  99.48869  99.94999 100.08496  99.87492 #>  [73564] 100.50373 100.10994 100.14989 100.49876 100.25468  99.81483 100.22475 #>  [73571] 100.20978 100.07497 100.00000  99.98000  99.83987  99.88994 100.47388 #>  [73578]  99.53391  99.79479 100.00500 100.12492  99.74969 100.27462 100.13491 #>  [73585]  99.76973  99.86491 100.64293 100.17485  99.82986 100.41912  99.91496 #>  [73592] 100.34441  99.98500  99.59920  99.82986  99.62931 100.50373  99.78978 #>  [73599] 100.25966 100.30454  99.88994 100.15488  99.66945  99.77475  99.99500 #>  [73606] 100.12492 100.27462  99.97000 100.02500 100.30952  99.87492 100.10994 #>  [73613] 100.05498  99.80982 100.55844 100.34441 100.26964  99.71961  99.86992 #>  [73620]  99.91997 100.18982 100.02000 100.43904  99.85990 100.31451 100.07997 #>  [73627]  99.64939  99.85990 100.13491  99.93998 100.44899 100.04999  99.82986 #>  [73634] 100.27462 100.42908  99.71961 100.00000 100.46890  99.93998  99.72462 #>  [73641]  99.89995 100.01000  99.65440 100.15488 100.37928 100.32946  99.89494 #>  [73648] 100.02000  99.62429 100.32946 100.09495 100.03000 100.40916  99.68450 #>  [73655] 100.28958  99.68952  99.95499 100.45895 100.26465  99.96499 100.00500 #>  [73662] 100.45397 100.53855  99.81984  99.46356 100.38924 100.27462 100.07997 #>  [73669] 100.05998  99.31264  99.75470 100.08496 100.40916  99.42334  99.81483 #>  [73676] 100.17984 100.38426  99.53894  99.94999  99.42837 100.06498  99.66444 #>  [73683]  99.83486 100.31451 100.20479  99.89494  99.69955  99.93498 100.40916 #>  [73690]  99.71961 100.48881 100.29955 100.02000 100.67274 100.65784  99.86992 #>  [73697]  99.73465  99.94498  99.74969 100.07497 100.24969 100.39422 100.02000 #>  [73704] 100.15987  99.40825  99.60924  99.61426 100.14490 100.13491  99.52889 #>  [73711] 100.23472 100.11493 100.17485 100.26964  99.75470  99.46859  99.99000 #>  [73718]  99.77475  99.16148  99.70958 100.42410  99.80982 100.17984 100.22475 #>  [73725]  99.71961  99.71961 100.15488 100.42410  99.97500 100.21976 100.18982 #>  [73732]  99.81483  99.61928 100.62803 100.23971  99.83987  99.82485 100.23971 #>  [73739]  99.78978 100.16986 100.03499  99.94999 100.03499  99.97000 100.18982 #>  [73746]  99.67949  99.60422 100.05998  99.49372  99.86992 100.03499 100.02500 #>  [73753]  99.88994 100.05998  99.67949 100.09495  99.67949 100.13491 100.19481 #>  [73760]  99.62931  99.97000 100.38426  99.52889  99.60422 100.51368 100.40916 #>  [73767]  99.50377  99.73465  99.97000 100.33444  99.76472  99.43842  99.72462 #>  [73774]  99.83987  99.72462  99.73465  99.91997 100.40916  99.62931  99.27235 #>  [73781]  99.65942 100.18982 100.09495  99.62429  99.79980  99.87993 100.09495 #>  [73788] 100.11993 100.14490 100.41912 100.30454  99.95499  99.66945 100.13491 #>  [73795] 100.02000 100.35437 100.02500  99.82485  99.99000  99.85990 100.21976 #>  [73802]  99.80481  99.80481 100.18483 100.08996  99.55401 100.47885 100.07497 #>  [73809]  99.64939  99.45853 100.31949 100.04999 100.30952 100.11493 100.27462 #>  [73816]  99.65440 100.23971  99.61928 100.15488 100.31949 100.01500  99.97000 #>  [73823] 100.64790 100.09495 100.12992  99.86491 100.46890 100.42908  99.91997 #>  [73830]  99.41831 100.13491  99.79479 100.14989 100.01000 100.09495  99.83486 #>  [73837] 100.08496 100.03000 100.63797  99.86992  99.14636  99.89995  99.96499 #>  [73844]  99.67447 100.05998  99.84989 100.14490  99.86491 100.24470 100.09995 #>  [73851]  99.80982 100.23472  99.82485  99.72462 100.27462 100.00000  99.81483 #>  [73858] 100.08996  99.70456 100.23472  99.91496  99.76472 100.15987 100.16486 #>  [73865] 100.48383 100.93067  99.93998 100.24470  99.76973  99.47361  99.85990 #>  [73872] 100.52363  99.60422  99.56405  99.83486  99.61928  99.86992 100.10994 #>  [73879]  99.85990 100.46392  99.66444 100.08496  99.80982 100.47885 100.28460 #>  [73886]  99.37303 100.01000  99.89995  99.79980  99.29250 100.12492  99.94498 #>  [73893]  99.56405  99.79479 100.01500 100.00500  99.26228 100.03499 100.10494 #>  [73900] 100.27961 100.08996  99.85990 100.19481  99.92497 100.14989  99.78978 #>  [73907] 100.08496 100.09995  99.97000  99.88493 100.16486  99.28243 100.11993 #>  [73914] 100.19980  99.94999 100.17485 100.33942  99.97500  99.72462 100.26964 #>  [73921]  99.76472 100.20978 100.50871  99.52387  99.74969  99.73966 100.22475 #>  [73928] 100.22475  99.85489  99.78477  99.86992 100.39422 100.15488  99.36297 #>  [73935] 100.02000 100.35437 100.34939 100.25966  99.75470 100.18982 100.45397 #>  [73942] 100.18982 100.16986  99.78978  99.77976  99.91496 100.09495 100.27462 #>  [73949] 100.05498 100.12492 100.37430  99.83987 100.18982 100.00000 100.15987 #>  [73956]  99.95499  99.96499 100.10494 100.27961 100.06998 100.00500 100.53855 #>  [73963]  99.77475 100.42410  99.75971 100.00500  99.63433  99.81984 100.17485 #>  [73970]  99.49874  99.98000 100.23971  99.87492 100.33942 100.16986  99.79980 #>  [73977] 100.11493  99.98000 100.10494 100.23971 100.19481  99.81984 100.16986 #>  [73984]  99.82485 100.31451 100.20479  99.68952  99.51884  99.71459  99.62429 #>  [73991]  99.80982 100.15987  99.23709  99.81984  99.66444  99.69453 100.05498 #>  [73998]  99.65942 100.04999 100.41912 100.35437 100.20479  99.81984 100.33942 #>  [74005] 100.09995  99.60422  99.92497  99.94498  99.98500 100.01500 100.04499 #>  [74012]  99.44848  99.96499 100.43406  99.88493 100.39422 100.19980  99.97500 #>  [74019] 100.25468 100.15987  99.77475 100.28460  99.84989  99.70958 100.53855 #>  [74026]  99.93498  99.77976  99.36297  99.67447  99.60924 100.14490 100.08496 #>  [74033]  99.86491 100.03499  99.80982 100.03000 100.25468 100.11993  99.78477 #>  [74040]  99.97000 100.38924  99.51382  99.84989 100.53358 100.01000 100.30454 #>  [74047] 100.16986  99.67447  99.89995 100.25468  99.79479 100.15987  99.65440 #>  [74054]  99.69955 100.23472  99.78477  99.66945  99.36297 100.04499 100.22475 #>  [74061]  99.83486 100.34441  99.79479 100.57833  99.90495 100.09995 100.63300 #>  [74068] 100.40916  99.99000  99.95499 100.17984  99.80481  99.95499  99.91496 #>  [74075] 100.30952 100.06998  99.87492  99.77475 100.23472  99.92497 100.09995 #>  [74082]  99.83987 100.12992  99.91496 100.31949  99.69955  99.76973 100.22974 #>  [74089] 100.17485  99.92497  99.49874 100.23472 100.37430  99.53894  99.89494 #>  [74096]  99.73465  99.98500 100.12992 100.32946 100.27462 100.13491  99.83987 #>  [74103]  99.78477 100.17984  99.97000  99.71459 100.10994  99.72963  99.40322 #>  [74110]  99.59920 100.03499 100.14490 100.00500 100.27462 100.09995  99.89494 #>  [74117] 100.45397 100.00500 100.02000 100.48881  99.93498  99.98500 100.07497 #>  [74124]  99.47361  99.99000 100.24969 100.37928 100.03000 100.07497 100.20479 #>  [74131] 100.31451 100.13491  99.84989 100.26964 100.29457 100.52860 100.03000 #>  [74138]  99.87492  99.81483 100.20978  99.95499  99.74467 100.10994  99.90495 #>  [74145]  99.91496  99.95499 100.05998  99.55401 100.18483 100.38924  99.58916 #>  [74152] 100.25966 100.30454 100.03499 100.11493 100.02000  99.25220 100.13491 #>  [74159]  99.80982  99.73465 100.10994  99.89995  99.93998 100.03000 100.41414 #>  [74166]  99.57409 100.18982 100.16986 100.22974  99.97500  99.62429 100.53855 #>  [74173] 100.21477  99.99500  99.49874 100.26964 100.34441  99.75971  99.53391 #>  [74180] 100.57336 100.58330  99.84488  99.68450  99.81984 100.35935  99.71459 #>  [74187] 100.19481  99.92998  99.86992  99.91496 100.01000  99.94999 100.61809 #>  [74194] 100.04499 100.07997  99.74467  99.58916  99.64939  99.77976  99.58916 #>  [74201] 100.21477 100.20978  99.51382  99.55903 100.00000  99.93498  99.99500 #>  [74208] 100.22974  99.91997 100.15488  99.74467  99.96499 100.28958 100.25468 #>  [74215] 100.73232  99.76973 100.03999  99.99500  99.99500 100.01500  99.48869 #>  [74222] 100.36932  99.18669  99.73465  99.77475  99.83987 100.20978 100.01500 #>  [74229] 100.51368  99.78477 100.09495  99.68952  99.91496  99.72462 100.25966 #>  [74236]  99.76973  99.73465  99.96499  99.71459 100.04499  99.70958 100.13990 #>  [74243]  99.63935 100.05998  99.97500 100.11993  99.67447  99.76472 100.23472 #>  [74250]  99.90495 100.09495 100.21477 100.08496  99.98500  99.48869 100.23971 #>  [74257]  99.81483  99.42334 100.23472 100.22475 100.35935  99.93498  99.87492 #>  [74264]  99.95999 100.41912 100.29457  99.87492 100.25468 100.07997  99.81483 #>  [74271]  99.88493 100.41912 100.21976 100.03000 100.41912  99.68450 100.16986 #>  [74278] 100.26465 100.22974  99.76472 100.16986  99.95999 100.02000 100.04999 #>  [74285] 100.50373  99.77976 100.28460 100.19980 100.02500 100.01000 100.59821 #>  [74292] 100.20978 100.13990 100.01500  99.95499  99.54898 100.58827 100.04499 #>  [74299]  99.78978 100.08996  99.94498  99.83987  99.67447 100.00500  99.55401 #>  [74306] 100.04999 100.35437  99.70958  99.94999 100.03000  99.91496 100.06498 #>  [74313]  99.82986  99.70456 100.01000  99.99500 100.02000  99.90495  99.99500 #>  [74320] 100.30454  99.66945  99.50879 100.67274 100.09995 100.19481 100.12992 #>  [74327] 100.01500 100.34441  99.76973 100.23472  99.41831  99.97000  99.75971 #>  [74334]  99.76472  99.81984  99.76472  99.77475 100.00000  99.84989  99.65440 #>  [74341] 100.23971 100.35935 100.05998  99.78978 100.16986 100.43904  99.66945 #>  [74348] 100.05998  99.86491  99.61426  99.88493  99.51382  99.48869 100.01000 #>  [74355]  99.75971 100.26465  99.73966  99.68952 100.01500  99.72963  99.81984 #>  [74362] 100.66777  99.89494 100.06998 100.53855 100.19481  99.73966 100.25966 #>  [74369]  99.65942  99.97500 100.16486  99.67447 100.40916 100.12992  99.45853 #>  [74376] 100.33444  99.78978  99.85489  99.86992  99.88994 100.77698  99.82485 #>  [74383]  99.71459  99.90996 100.23472 100.46392  99.84488  99.95999  99.79479 #>  [74390] 100.12492 100.44401 100.14490  99.99500  99.82986  99.88493  99.69955 #>  [74397]  99.54898  99.49372 100.11493  99.76973 100.36932  99.75470 100.34441 #>  [74404]  99.91496  99.93998  99.73966 100.21477 100.72735 100.56838 100.00000 #>  [74411] 100.46392 100.00000  99.95499  99.84488 100.40418  99.75470  99.98500 #>  [74418] 100.41414  99.83486 100.64293 100.25468 100.44899 100.31949  99.69453 #>  [74425]  99.78978  99.09591  99.09087 100.15987 100.09495 100.17485 100.16486 #>  [74432]  99.56405  99.94498 100.03499  99.74969  99.79479 100.60318 100.26465 #>  [74439]  99.95499  99.83987  99.46356 100.24969 100.29955  99.90495  99.97000 #>  [74446]  99.44848 100.15488  99.49372 100.12992 100.20978  99.76472 100.06498 #>  [74453] 100.27961 100.04499 100.10494 100.80675 100.47885  99.94999  99.91997 #>  [74460]  99.66444 100.09995  99.86992 100.07497  99.85990  99.91496  99.68450 #>  [74467]  99.78978  99.64437  99.75971 100.09495  99.90495  99.30760 100.02500 #>  [74474]  99.71459 100.62803  99.92497 100.53855 100.13990  99.84989 100.46890 #>  [74481]  99.93498 100.09495 100.45895  99.73966 100.34939 100.33444  99.98000 #>  [74488] 100.46392 100.21477  99.74969 100.28958 100.52363  99.58916  99.73966 #>  [74495] 100.11993 100.27961 100.63797 100.09995  99.99000  99.76472  99.87492 #>  [74502]  99.99000  99.74969 100.19980 100.24969 100.14490  99.82485  99.67949 #>  [74509]  99.93498  99.80982  99.74467  99.36297  99.69453 100.18982  99.94999 #>  [74516]  99.85489 100.43406 100.05498  99.91997  99.89995  99.87993  99.80481 #>  [74523]  99.91997 100.21477 100.58330 100.09995  99.49372  99.39316  99.95499 #>  [74530]  99.71459 100.03999 100.26465 100.04499  99.80481 100.44899  99.98000 #>  [74537] 100.37430 100.23971 100.20978  99.74467 100.12992 100.20479 100.00000 #>  [74544] 100.24470  99.81483 100.57336 100.01000 100.21976  99.97500 100.40916 #>  [74551] 100.01000 100.20978 100.10994  99.79479 100.02500  99.74467  99.50879 #>  [74558] 100.09495 100.30454  99.88493  99.83987 100.24470  99.85990 100.09995 #>  [74565] 100.03499 100.18982 100.16486 100.20978 100.09495  99.78477 100.26964 #>  [74572]  99.64939 100.01000 100.23971  99.80982  99.62931 100.22974  99.88994 #>  [74579]  99.88493 100.04499 100.00500  99.63935  99.81984 100.07497  99.86491 #>  [74586] 100.60318 100.06998  99.65440  99.88493 100.19980 100.24969  99.75470 #>  [74593]  99.96499 100.02500  99.68450  99.50879  99.91997  99.45853 100.26964 #>  [74600] 100.17485  99.80982  99.80982 100.36434  99.57409  99.91997 100.07497 #>  [74607]  99.72462 100.05498  99.63433 100.14989  99.82485 100.22475  99.68952 #>  [74614] 100.26465  99.49372  99.58414  99.88493  99.90996  99.96499 100.28460 #>  [74621]  99.83987 100.33444  99.68450  99.97000 100.35935  99.99500  99.84488 #>  [74628] 100.08496 100.13990  99.95499 100.19481  99.75971  99.96499  99.93498 #>  [74635]  99.72462  99.53894 100.62306  99.80982 100.23472 100.39422 100.04999 #>  [74642]  99.53894 100.20978  99.45351 100.14989 100.28460  99.85489 100.25966 #>  [74649] 100.34939 100.41414  99.67949 100.38924 100.44899  99.85489  99.85489 #>  [74656] 100.36434 100.08996  99.85489  99.93998  99.85489  99.60422  99.89494 #>  [74663]  99.61928 100.48383 100.83154  99.55401 100.02500  99.84488  99.77976 #>  [74670] 100.15987 100.41912  99.82986 100.18982  99.99000 100.47885 100.57833 #>  [74677]  99.99000  99.78978  99.61426  99.45853 100.17984 100.41414  99.74969 #>  [74684] 100.47885  99.54396 100.05998  99.25220  99.87492  99.75470 100.07497 #>  [74691] 100.27462  99.84488  99.91997 100.16486  99.92497  99.75470 100.23971 #>  [74698]  99.83987  99.83987  99.74467  99.32271 100.32946  99.64437 100.42908 #>  [74705]  99.37303  99.71961 100.24470 100.34441  99.43339  99.64939  99.97500 #>  [74712]  99.82986 100.19980  99.99000 100.05498 100.07497  99.85489 100.18982 #>  [74719]  99.57911  99.80982  99.43842 100.43904 100.31949 100.15488  99.84488 #>  [74726]  99.94999 100.58827 100.20479  99.62429  99.84989  99.33781  99.84989 #>  [74733]  99.59920 100.30454 100.45397  99.92497 100.17485  99.56907  99.72462 #>  [74740] 100.11493 100.61809  99.93498  99.82986 100.19980 100.17984 100.08496 #>  [74747] 100.25468  99.89494 100.11493 100.26465 100.01500  99.84488  99.93998 #>  [74754]  99.65440  99.83987 100.32447  99.77475 100.18982 100.05998 100.45895 #>  [74761]  99.78477  99.95499 100.03499  99.42837  99.90996 100.33444  99.71961 #>  [74768]  99.93498  99.94999  99.61928 100.29457  99.60924 100.18982 100.17984 #>  [74775]  99.88994 100.36434 100.49378  99.96499 100.16986  99.94999  99.88493 #>  [74782]  99.93498  99.81984 100.10994 100.13990  99.95499  99.66444  99.95999 #>  [74789] 100.06498  99.88994 100.09495 100.20479 100.07997  99.88994  99.83486 #>  [74796]  99.95499 100.19980  99.55401  99.87993 100.19481 100.03999  99.67447 #>  [74803]  99.60422  99.88994 100.05998 100.03000  99.74969 100.44401 100.03499 #>  [74810] 100.11493 100.26964  99.95999  99.67949 100.10494  99.95499  99.58916 #>  [74817]  99.58414 100.28460 100.35437  99.70456  99.77976 100.10994 100.00500 #>  [74824]  99.92497  99.95999 100.38924  99.84488  99.83987  99.49874 100.35935 #>  [74831]  99.84989  99.63935  99.52387 100.15488  99.94498 100.01500 100.64790 #>  [74838]  99.88994 100.17984  99.66945  99.41831  99.92497  99.96499 100.04499 #>  [74845]  99.53894 100.36932 100.58827  99.90495  99.11609 100.25468  99.91496 #>  [74852]  99.94999 100.03000 100.58330  99.62429 100.58330 100.20978  99.62931 #>  [74859] 100.22475  99.97000  99.90996 100.50373 100.01000 100.30454 100.17984 #>  [74866]  99.73966  99.41831  99.57911 100.36932  99.65942  99.97000  99.65942 #>  [74873] 100.01500 100.10994 100.22475  99.82986 100.20978 100.25966 100.13990 #>  [74880]  99.88493  99.68450  99.93998  99.94999  99.90495  99.74467  99.72963 #>  [74887] 100.20479  99.81483  99.82485  99.69453  99.71961  99.70958  99.80481 #>  [74894]  99.82986  99.90996 100.10994  99.95999  99.76472  99.85990  99.88493 #>  [74901] 100.03499  99.85489 100.22475 100.40418  99.81483  99.90495  99.96499 #>  [74908]  99.93998 100.70253  99.96499 100.05498  99.80481  99.85489 100.36932 #>  [74915] 100.01500 100.08996 100.26465 100.15488 100.38924  99.75470 100.23472 #>  [74922] 100.05498 100.38426 100.50871 100.09995 100.08996 100.07997  99.91496 #>  [74929] 100.20978  99.78477 100.06498  99.96499  99.92497  99.94498  99.93498 #>  [74936]  99.69955 100.43904 100.18483 100.08496  99.96499 100.38924  99.74467 #>  [74943]  99.21189  99.87993 100.04999 100.40916 100.25468 100.26964 100.13491 #>  [74950] 100.29457  99.34284 100.21477  99.87993  99.72963  99.98500 100.14989 #>  [74957]  99.60924  99.72963  99.90996  99.77475  99.76472  99.56907  99.88994 #>  [74964] 100.08496  99.82485  99.84488 100.29955  99.84989 100.27462 100.27961 #>  [74971] 100.12492 100.12492  99.89494  99.60422  99.82485  99.51382 100.03999 #>  [74978] 100.08496  99.69453  99.69453  99.97500 100.02000 100.25468  99.96499 #>  [74985]  99.77976  99.35794 100.01500 100.72735  99.92497 100.22974 100.15987 #>  [74992]  99.98000 100.62803  99.71961  99.80481 100.30454 100.22974  99.93998 #>  [74999] 100.20479  99.50879 100.23971 100.27462 100.02000 100.56341 100.02500 #>  [75006]  99.93998  99.91496 100.27961  99.47864  99.72462  99.89995  99.78477 #>  [75013] 100.42410  99.93998 100.03000  99.70958  99.91997 100.17984 100.06498 #>  [75020] 100.14490  99.70456 100.22475 100.18982  99.43842 100.10494 100.16486 #>  [75027] 100.02500  99.86491  99.87993  99.64939  99.82986  99.88493 100.22475 #>  [75034] 100.83154 100.49378  99.87492 100.19481  99.70456  99.76472  99.79479 #>  [75041]  99.91997 100.33942  99.91997 100.20978 100.02000 100.29955  99.38813 #>  [75048]  99.55903 100.28958  99.83486  99.85489 100.28958  99.42837  99.75470 #>  [75055] 100.27961  99.77475 100.32447 100.04999  99.51382  99.88994  99.88994 #>  [75062] 100.15488  99.70456  99.59418 100.00500 100.09995  99.72963 100.14490 #>  [75069] 100.34441 100.13990  99.69955  99.79479 100.02000 100.26964  99.99000 #>  [75076]  99.63935  99.75470  99.71459 100.27462  99.54898  99.70456  99.81984 #>  [75083]  99.89995 100.23472 100.14490  99.69453  99.97000  99.82986  99.91496 #>  [75090] 100.01000  99.86992 100.17485  99.52387  99.62931  99.86992  99.82986 #>  [75097]  99.41328  99.79980  99.62931  99.32271  99.88994 100.07497 100.26465 #>  [75104] 100.09495 100.07497 100.08996  99.63433  99.84989 100.09995 100.13491 #>  [75111]  99.82986 100.26964  99.76472  99.76973  99.85990  99.80481 100.18982 #>  [75118]  99.73966  99.52889 100.46392 100.02000 100.06498  99.40322 100.73728 #>  [75125] 100.07997 100.23472 100.46890 100.35935 100.03000  99.94999 100.27462 #>  [75132] 100.00000 100.06498  99.95499 100.17984  99.89995 100.00000 100.38426 #>  [75139] 100.31451 100.06998 100.03499 100.25966  99.74467 100.27961  99.92998 #>  [75146]  99.84488 100.13990  99.90495  99.53894  99.76472  99.42334 100.04999 #>  [75153] 100.29457  99.76973 100.44899 100.07997  99.74467  99.69453 100.04999 #>  [75160] 100.14989 100.38924  99.83486  99.94498 100.21976  99.78477 100.58330 #>  [75167] 100.29955 100.08996 100.29955 100.03000 100.34441  99.73966 100.01500 #>  [75174]  99.88994  99.78978 100.09495 100.22475 100.07997 100.60815 100.11493 #>  [75181]  99.39819  99.83987  99.46356 100.16486  99.38310 100.18483  99.76472 #>  [75188] 100.11993  99.78477 100.17984  99.69955  99.81984  99.74969 100.05498 #>  [75195]  99.72462  99.49874 100.30454  99.98000  99.98000 100.18982  99.81984 #>  [75202] 100.09495  99.42837 100.10494 100.03000  99.72963 100.23472  99.58414 #>  [75209]  99.84989 100.31949  99.86992  99.64939  99.36297 100.04499 100.25966 #>  [75216] 100.06998 100.04999  99.69955 100.50373 100.20978  99.76973 100.02500 #>  [75223]  99.76472 100.00000 100.12492 100.37928  99.43842  99.65942  99.98000 #>  [75230] 100.05998 100.37928 100.17984 100.31451  99.76973 100.35437 100.06998 #>  [75237]  99.99000  99.32271 100.31451  99.58916 100.13491 100.23472 100.06498 #>  [75244]  99.88493 100.17984 100.19481 100.03499 100.00500 100.04999  99.71459 #>  [75251]  99.85489  99.58916 100.10494 100.48383 100.10494 100.14989  99.66945 #>  [75258] 100.23971  99.89995 100.22974 100.35437  99.82986  99.99500  99.98000 #>  [75265] 100.27961 100.13990 100.15987 100.07497 100.10494  99.88994 100.10994 #>  [75272] 100.24969  99.98500  99.74969  99.82485  99.66945 100.40418 100.01000 #>  [75279]  99.47864  99.70456 100.21477  99.72963  99.85990  99.73966 100.45895 #>  [75286] 100.05498 100.17485  99.55903  99.62429  99.52889  99.73966  99.95999 #>  [75293] 100.27961  99.42837 100.11993  99.81483  99.82485  99.74467 100.06998 #>  [75300] 100.47388 100.05498 100.03499  99.72963  99.67949 100.41414 100.42908 #>  [75307]  99.82485  99.94999 100.03000  99.62429  99.48869 100.01000  99.79980 #>  [75314] 100.10494 100.05998  99.72462 100.41414 100.14989  99.58916  99.55401 #>  [75321]  99.43339 100.21976 100.15987  99.93998 100.33444 100.11493  99.74467 #>  [75328] 100.15488  99.88994 100.18483 100.32447 100.14989 100.11993 100.18982 #>  [75335]  99.53391  99.89995 100.22974 100.31451  99.55903  99.57409 100.07497 #>  [75342]  99.60422  99.96499 100.56341  99.88994 100.32946  99.42334 100.21976 #>  [75349]  99.82986 100.42410 100.19481 100.16986 100.46392  99.77976 100.28460 #>  [75356] 100.34441  99.87492 100.01000 100.11993 100.14490  99.70958  99.93498 #>  [75363] 100.18982  99.94498 100.08496 100.10994 100.37928  99.94999  99.72462 #>  [75370]  99.54898 100.68764 100.00000 100.15987  99.80481  99.51382 100.48881 #>  [75377]  99.93498 100.58827  99.64437  99.93998  99.89494 100.43406 100.21477 #>  [75384] 100.11493 100.35935 100.04499  99.60422  99.37807 100.40418 100.26465 #>  [75391] 100.05498 100.18483  99.44848  99.63433 100.00000  99.58414 100.30952 #>  [75398]  99.94999 100.47388  99.79980 100.19481  99.46859 100.23971  99.71459 #>  [75405] 100.06998 100.35935  99.82986 100.26465 100.50871 100.13491 100.02000 #>  [75412]  99.83486 100.02000 100.11993 100.26964 100.02000 100.29457 100.33942 #>  [75419] 100.22974  99.64437  99.93998  99.89494 100.38426 100.17984 100.37928 #>  [75426]  99.89494  99.64939 100.55844 100.33444  99.75971  99.90495 100.07997 #>  [75433] 100.29955  99.64437  99.94999  99.97500  99.78978  99.56405 100.25468 #>  [75440]  99.94999  99.78978  99.89995 100.05998  99.83987 100.05498  99.66945 #>  [75447]  99.95499  99.77475  99.91997  99.76973  99.21693  99.68952  99.77475 #>  [75454]  99.89995 100.11993 100.10494 100.14490 100.45397  99.79479 100.03999 #>  [75461] 100.48881 100.00500  99.87492  99.87492 100.18982 100.10494  99.79479 #>  [75468] 100.26964  99.80481  99.67447 100.43904 100.06498  99.65440  99.78477 #>  [75475] 100.47885  99.74969 100.59821  99.80481  99.38813 100.08996 100.18982 #>  [75482]  99.38813  99.97500  99.49874 100.17485 100.57833  99.93998  99.94999 #>  [75489]  99.83486 100.04999  99.98000  99.55401 100.20479 100.42908 100.00500 #>  [75496]  99.51884 100.09495 100.64293  99.69955  99.77976 100.02500  99.37807 #>  [75503]  99.70456 100.02500 100.01500  99.84488 100.06998 100.17984 100.57336 #>  [75510] 100.21477 100.15987 100.02000 100.17485  99.65942  99.59418  99.75470 #>  [75517]  99.91496  99.87993  99.85489  99.91997  99.87492 100.19481  99.80982 #>  [75524] 100.40418 100.56838 100.12992 100.00000 100.18982  99.85990  99.94498 #>  [75531] 100.03999 100.20978  99.87492 100.05498 100.66777 100.02000 100.54352 #>  [75538] 100.32447  99.57409 100.20479  99.73465 100.58330 100.32447 100.23971 #>  [75545] 100.34441  99.22197  99.80481 100.44899  99.55401  99.99000  99.91997 #>  [75552]  99.67949  99.66945 100.18483 100.45397 100.07497 100.02000 100.29457 #>  [75559]  99.34284 100.13990  99.36800 100.14490 100.30952 100.06498  99.39316 #>  [75566]  99.88994 100.24969 100.28958 100.35437 100.50373  99.70958 100.03000 #>  [75573]  99.94498 100.15987 100.53855  99.89494  99.99500  99.80982  99.89995 #>  [75580] 100.06498  99.85489  99.59920  99.27739 100.07497  99.88994  99.93998 #>  [75587]  99.92998 100.05498  99.70958  99.74467 100.16486  99.90495  99.94498 #>  [75594]  99.78978 100.28460  99.57911 100.03999  99.87492 100.14989 100.06498 #>  [75601]  99.97000 100.72239 100.23971 100.02000  99.67447 100.17485 100.13990 #>  [75608]  99.85489  99.85489  99.80982 100.09495  99.70456  99.98500 100.15488 #>  [75615] 100.26964 100.46392 100.04999  99.50377 100.29955 100.12492 100.48383 #>  [75622] 100.10994 100.19980  99.45853 100.05498  99.97000  99.88994 100.43406 #>  [75629] 100.33942 100.08996 100.13990  99.61928 100.24969 100.27961 100.17984 #>  [75636]  99.97500  99.86992  99.36297  99.94498  99.92497  99.93998  99.52387 #>  [75643]  99.65942  99.59418 100.39920  99.69955  99.87993  99.40322 100.50871 #>  [75650] 100.12992  99.73465  99.85990 100.32447 100.02500 100.19980 100.44899 #>  [75657] 100.21976 100.20978 100.39422 100.39920 100.14490  99.66444  99.60422 #>  [75664]  99.51382 100.08496  99.89995 100.04499 100.26465 100.11993 100.30454 #>  [75671]  99.74467 100.04999 100.24969  99.67447 100.29457  99.77976 100.01500 #>  [75678] 100.24969 100.01000 100.25468  99.99000 100.27961 100.28460  99.91997 #>  [75685] 100.73728 100.01000 100.30454  99.68450  99.89995  99.66444 100.24470 #>  [75692]  99.88994  99.68450 100.25966  99.76472  99.47361 100.33942 100.01000 #>  [75699]  99.68952  99.85489  99.88493 100.28460  99.86992  99.70958  99.83486 #>  [75706]  99.87993 100.25468 100.10494 100.21976  99.73966  99.86491 100.09995 #>  [75713]  99.80481 100.30454 100.18982  99.33277  99.79980  99.71459  99.85990 #>  [75720] 100.54850  99.44345  99.69453  99.90495 100.37430  99.84989 100.03499 #>  [75727] 100.03499  99.80481  99.67949  99.93998  99.90495 100.18982  99.85489 #>  [75734] 100.04499  99.55401 100.28460  99.86491 100.25468 100.14490 100.10494 #>  [75741]  99.74467  99.72963  99.72963  99.96499 100.14490 100.15987  99.94999 #>  [75748]  99.76973  99.46859  99.85489  99.51382 100.17485  99.97000 100.22475 #>  [75755] 100.26465  99.78477  99.89494 100.00500 100.17485  99.89494  99.95499 #>  [75762] 100.02500  99.55903  99.97500 100.06498 100.43904  99.94999 100.34441 #>  [75769]  99.74467 100.20479 100.46392 100.10994 100.00500  99.82485  99.98500 #>  [75776] 100.57336  99.58916  99.73465 100.30454  99.15140 100.13990 100.22475 #>  [75783]  99.57409  99.48367  99.45853  99.77976  99.95999 100.15488 100.18982 #>  [75790]  99.71459  99.74467 100.27961 100.11993 100.12492 100.00500  99.63433 #>  [75797] 100.21976 100.26964  99.46356  99.76472  99.84989  99.82485  99.52889 #>  [75804] 100.00500  99.81984 100.68764  99.61426  99.68952 100.16986 100.34939 #>  [75811] 100.38426 100.24470  99.98000  99.93498 100.44899  99.97000 100.65784 #>  [75818] 100.22974 100.38426  99.95999 100.27961 100.14989 100.25966 100.11993 #>  [75825]  99.81984  99.72963 100.01000 100.35437  99.60422  99.80481 100.45397 #>  [75832] 100.47388 100.02500  99.77475  99.96499 100.24470  99.79479  99.57409 #>  [75839]  99.93498  99.71459  99.85489  99.74467 100.12992  99.62931  99.53894 #>  [75846]  99.50377 100.31949  99.98000  99.65942  99.94999  99.53391  99.90495 #>  [75853]  99.78978  99.28746  99.58916 100.59324  99.70456 100.13990 100.29457 #>  [75860] 100.61809 100.09495 100.00500 100.19980 100.02500 100.02500  99.63935 #>  [75867] 100.09995 100.43904 100.24969  99.99500  99.77475  99.90996 100.21477 #>  [75874] 100.09495  99.83987 100.25966  99.89995  99.99500  99.68450 100.31949 #>  [75881] 100.20978 100.25966  99.94498  99.59418  99.85489  99.54898  99.87492 #>  [75888] 100.23971  99.98500 100.25966 100.48881  99.94498 100.26465 100.56838 #>  [75895]  99.37303  99.81984  99.53894  99.98000 100.27961  99.81984 100.05998 #>  [75902] 100.44401  99.53894 100.14490  99.65942 100.16486 100.12492 100.20479 #>  [75909]  99.85489 100.07997 100.00000  99.74467 100.29955 100.18982  99.85489 #>  [75916]  99.65440 100.04999  99.63935  99.96499  99.93498  99.98000 100.51865 #>  [75923] 100.03000 100.11493  99.99000  99.58414 100.33444 100.02500  99.97500 #>  [75930] 100.22974 100.13491 100.22974 100.05998  99.92497 100.21477 100.46890 #>  [75937] 100.14989 100.01500 100.02000 100.03499  99.66444 100.18982 100.01000 #>  [75944] 100.00000 100.30454  99.61928  99.94999  99.99000  99.61928 100.18982 #>  [75951]  99.82485 100.22475  99.80982  99.57911 100.22974 100.22974 100.17984 #>  [75958]  99.66945 100.06998  99.75470  99.81984  99.78477 100.25966 100.34939 #>  [75965] 100.25468 100.02500 100.30454 100.53855  99.87492  99.80481 100.12492 #>  [75972] 100.11493  99.94999 100.11493  99.66444  99.85489  99.75470  99.70958 #>  [75979]  99.64437 100.04999 100.22475 100.14989 100.03499  99.64437 100.69757 #>  [75986] 100.19481 100.29457 100.16486  99.44345  99.77475  99.46356 100.09495 #>  [75993] 100.13990  99.78978 100.01500 100.28460 100.01500 100.12992  99.58414 #>  [76000]  99.67949 100.18982 100.24470  99.92497 100.09995 100.03499 100.15987 #>  [76007] 100.13990 100.16986  99.71459 100.53358  99.89995  99.99500  99.70958 #>  [76014] 100.32447 100.53358 100.40418 100.13491  99.36800 100.46890  99.78978 #>  [76021]  99.91997 100.03999 100.66777 100.01500 100.41414 100.19980  99.71961 #>  [76028]  99.53391 100.22974 100.25966 100.17485 100.12992  99.38310 100.11993 #>  [76035] 100.14490 100.31451 100.59821  99.55401 100.08996  99.83486 100.15488 #>  [76042]  99.80481  99.87492  99.45351  99.78978  99.70958  99.75971  99.88994 #>  [76049] 100.40418  99.80481 100.16986 100.12992  99.86992 100.07997  99.91997 #>  [76056]  99.99500  99.81984  99.69955  99.91496  99.72963 100.25966  99.76973 #>  [76063]  99.59920  99.29250  99.95499  99.90996  99.87492 100.37430 100.57833 #>  [76070] 100.33942  99.73465 100.28460 100.61312 100.21477 100.15987 100.19481 #>  [76077] 100.30952 100.26465  99.59418 100.66280  99.83987 100.10494 100.37928 #>  [76084] 100.46890 100.13491 100.09495 100.02500  99.83987 100.03000 100.34441 #>  [76091] 100.03000  99.68450  99.77976  99.34787  99.83486  99.83486  99.82485 #>  [76098] 100.06998 100.20479 100.01500  99.99500  99.99500  99.90996 100.27961 #>  [76105] 100.08496 100.32946  99.87492  99.90996  99.95999  99.98000 100.37430 #>  [76112]  99.93498  99.65440 100.20479 100.01000  99.74969  99.50879  99.80481 #>  [76119]  99.82485  99.66444  99.44848  99.88493 100.52363 100.41912  99.71961 #>  [76126]  99.81984 100.12492  99.94999 100.72735 100.47388  99.97000  99.82986 #>  [76133]  99.67949  99.28746 100.69260  99.94498 100.40916  99.73465  99.85489 #>  [76140]  99.54396  99.88994 100.35437 100.05498 100.56838  99.96499 100.57336 #>  [76147]  99.85990 100.12492  99.67447  99.92998 100.03000  99.51884 100.69757 #>  [76154] 100.34939 100.12992 100.05498  99.99000  99.59920 100.23472 100.24470 #>  [76161]  99.90495  99.89494  99.64437  99.80481 100.11493 100.15488 100.24470 #>  [76168]  99.65440 100.69757 100.23971  99.68952  99.93498 100.51865 100.28958 #>  [76175] 100.04499 100.06998 100.40916  99.28243  99.91496 100.06998  99.00000 #>  [76182] 100.39920  99.62429 100.19481 100.14989 100.08996  99.95499  99.76973 #>  [76189]  99.87993  99.41328 100.19481 100.12992 100.35935  99.48869  99.68952 #>  [76196]  99.93998 100.16486 100.08496 100.03499 100.08996 100.52363 100.12492 #>  [76203] 100.18982  99.73465 100.06498 100.03000 100.40418 100.52860  99.66945 #>  [76210]  99.42837  99.91997  99.58414 100.21976 100.13491  99.60924 100.22475 #>  [76217] 100.18483 100.47885 100.12492 100.35437  99.75971 100.27961 100.04499 #>  [76224] 100.26964  99.78978  99.85990 100.33444  99.64437  99.84989  99.71961 #>  [76231] 100.00000  99.98000 100.23472 100.28460 100.08996  99.55903  99.65440 #>  [76238] 100.13990 100.12492  99.68450  99.89494  99.68952 100.28958 100.29955 #>  [76245] 100.49876 100.22974  99.87492  99.68450 100.16486  99.33781 100.05998 #>  [76252]  99.71961 100.02000 100.05998  99.49372  99.92998  99.27739 100.37430 #>  [76259]  99.86992 100.14490 100.06998  99.71961  99.86992  99.76973  99.99000 #>  [76266] 100.19980  99.74969 100.19980 100.06498  99.83987 100.17984 100.14989 #>  [76273] 100.19980  99.49874 100.09495 100.45397  99.73966  99.66945 100.27961 #>  [76280]  99.84488  99.65942  99.45351  99.77976 100.14490  99.92998  99.86992 #>  [76287]  99.98000 100.14989  99.66945 100.34441 100.20479  99.52889  99.78477 #>  [76294]  99.70958 100.00000  99.88994 100.13491 100.10994 100.46392 100.10494 #>  [76301]  99.87993 100.33444  99.95999 100.29955  99.55903 100.37430 100.29457 #>  [76308]  99.83486  99.93498 100.27462  99.73966 100.18982  99.75470 100.25468 #>  [76315] 100.32447 100.23971 100.11493 100.29955 100.20479  99.73465 100.29457 #>  [76322] 100.27961 100.40916  99.73465  99.89494 100.16986 100.00500  99.98500 #>  [76329]  99.81483  99.50377  99.90996  99.42837  99.89995  99.85990  99.74969 #>  [76336]  99.94498 100.08996 100.17984  99.86992  99.72963  99.72963 100.06498 #>  [76343]  99.89494 100.03999  99.47864  99.52889  99.97000  99.98000  99.91496 #>  [76350]  99.72963  99.77976  99.58414 100.02500  99.49372 100.39422 100.34441 #>  [76357] 100.25468 100.05498  99.86992  99.62429  99.77475 100.16486  99.86491 #>  [76364]  99.80481  99.87492 100.13990 100.40418 100.10494 100.27462  99.75470 #>  [76371] 100.20479 100.21976 100.15987  99.87492 100.29457  99.42334  99.72963 #>  [76378] 100.02500  99.67949 100.44899 100.45397  99.94999  99.40322  99.89995 #>  [76385]  99.92998 100.49876 100.29457 100.26964  99.66945 100.10994  99.99000 #>  [76392] 100.17984 100.10494  99.89995  99.58916  99.66444 100.15488  99.34284 #>  [76399]  99.34787 100.53855 100.39920  99.65942  99.59418 100.02500  99.87492 #>  [76406]  99.74467 100.45895 100.45397  99.86992  99.86992  99.94498 100.36932 #>  [76413]  99.88994  99.41831 100.64790  99.89995 100.04999 100.12492 100.02500 #>  [76420]  99.72963 100.03999  99.85990 100.14989  99.78978  99.57911  99.91496 #>  [76427] 100.48383 100.06498 100.35437  99.69955  99.95499 100.05498  99.65942 #>  [76434] 100.02000  99.74969  99.77475 100.42410 100.29457 100.14490 100.04499 #>  [76441] 100.29955  99.86992 100.25468 100.18982  99.66945  99.58414  99.71459 #>  [76448] 100.01000 100.09495  99.98000  99.71961  99.76973  99.95999  99.92998 #>  [76455]  99.80982 100.02500  99.99500  99.86992 100.45397  99.60422 100.28460 #>  [76462] 100.21477  99.81483  99.91997  99.84989 100.27961 100.17485 100.23472 #>  [76469]  99.84989 100.03000  99.79980  99.96499  99.42334  99.67447  99.93498 #>  [76476]  99.49372 100.09995  99.46859  99.79479  99.71459 100.15987 100.39920 #>  [76483]  99.68952  99.82485  99.74969 100.32946  99.93998 100.03000  99.58414 #>  [76490]  99.84488 100.62803 100.00500  99.63935 100.16486 100.39422 100.13990 #>  [76497] 100.37430  99.86992 100.47885  99.78477  99.86992 100.31949 100.07497 #>  [76504] 100.33942 100.06498 100.44401  99.84488  99.87492 100.13990  99.68450 #>  [76511]  99.86491  99.82485  99.85489  99.50377  99.75971  99.87993  99.87993 #>  [76518]  99.89995 100.25468 100.48383  99.68450 100.67274 100.02500  99.58916 #>  [76525] 100.14989 100.11493  99.68450  99.55401 100.30952  99.77976  99.97000 #>  [76532]  99.95499  99.53894  99.78978 100.53358 100.00500  99.63935  99.51884 #>  [76539]  99.60422 100.11993  99.70456  99.59418  99.63935  99.64437  99.57911 #>  [76546] 100.21477 100.08996 100.01000 100.53855  99.88493 100.41414 100.31949 #>  [76553] 100.30454  99.81984  99.76472  99.81984  99.63935 100.47885  99.71961 #>  [76560] 100.37928 100.37928 100.30454 100.19980 100.34939  99.75470  99.89494 #>  [76567] 100.67274  99.91997  99.91496  99.78978  99.69453 100.70253 100.03499 #>  [76574] 100.48881 100.01500  99.79980 100.18483  99.82986 100.60318  99.99500 #>  [76581]  99.84488  99.82485  99.94999  99.63433 100.06498 100.27462 100.59324 #>  [76588]  99.65440 100.47885 100.37430 100.07497  99.57409 100.00000  99.17157 #>  [76595] 100.37928  99.73966  99.70958  99.63935  99.93998  99.75470 100.19980 #>  [76602] 100.62306 100.29955  99.52387 100.16486 100.10494  99.89995 100.38426 #>  [76609] 100.02500 100.31949 100.00500  99.86491 100.60815 100.07997  99.54898 #>  [76616] 100.24470  99.82485  99.63935 100.08996  99.62429  99.77475  99.70958 #>  [76623] 100.13491  99.78477  99.98500 100.00000  99.75971  99.98000 100.00000 #>  [76630]  99.62429  99.78978  99.63433 100.33444  99.90996 100.10994  99.92998 #>  [76637] 100.80179  99.77976 100.31949  99.96499 100.69757  99.76472  99.48869 #>  [76644] 100.46392  99.97000  99.37303 100.28460  99.48869  99.62429  99.45351 #>  [76651] 100.24969 100.09495  99.61426  99.86491  99.72963 100.44899  99.66945 #>  [76658]  99.65942 100.44899 100.45895  99.94498  99.76973  99.71961 100.44899 #>  [76665]  99.65942  99.65440 100.21477  99.91997 100.14490 100.00500 100.08496 #>  [76672]  99.88493 100.07997 100.16486 100.30952  99.81483  99.90996 100.02000 #>  [76679]  99.72963 100.08996 100.17984  99.97000 100.19980 100.64293 100.10994 #>  [76686]  99.62429 100.00000 100.05998  99.93498  99.29753  99.95999  99.90495 #>  [76693]  99.82986  99.83987 100.20479  99.82986 100.21976  99.76472  99.82986 #>  [76700] 100.15987  99.60422  99.57911  99.84989  99.54898  99.99500  99.42837 #>  [76707]  99.63433  99.53391 100.24969  99.86491 100.38924  99.98500 100.13990 #>  [76714] 100.11993  99.78477 100.31451 100.48383 100.11493 100.10494 100.36434 #>  [76721] 100.51368 100.71246  99.96499  99.70958 100.04499 100.06498 100.24969 #>  [76728]  99.86992 100.15987 100.25468  99.71459  99.86992  99.75971 100.34939 #>  [76735] 100.25468 100.42908 100.25468  99.65942  99.76973 100.58827 100.21976 #>  [76742]  99.74467  99.82986 100.24969 100.27961  99.84488 100.13990 100.02000 #>  [76749] 100.09495  99.69955 100.42908 100.03499 100.52363 100.05498 100.38426 #>  [76756] 100.34441  99.61928 100.15987  99.93498 100.35935 100.08996 100.14490 #>  [76763] 100.00500  99.55401  99.89494 100.21477  99.75971  99.94999 100.27961 #>  [76770] 100.12492 100.31949 100.01000  99.90495 100.49378  99.73465 100.36932 #>  [76777] 100.13990 100.34441 100.37430 100.06498 100.16986  99.93998 100.28958 #>  [76784]  99.95999  99.27739 100.22974 100.24969  99.68952  99.84488 100.57833 #>  [76791] 100.10494  99.81984  99.91997  99.70456 100.29457 100.22475  99.80481 #>  [76798] 100.44899  99.72963  99.97500 100.02000  99.71459 100.10994  99.80481 #>  [76805]  99.75470 100.02000  99.34284 100.04999  99.61928 100.09495 100.13990 #>  [76812]  99.63433 100.09495 100.03000 100.22475 100.25468  99.56907  99.90495 #>  [76819] 100.07997 100.03999 100.28460 100.21976 100.25468 100.11493  99.55401 #>  [76826]  99.76973 100.03999  99.81483  99.96499 100.20978  99.69955  99.89494 #>  [76833] 100.10994 100.21477 100.56838  99.88493 100.58330 100.51865  99.66945 #>  [76840] 100.37928  99.61928  99.97000  99.89995 100.27462  99.71961 100.17984 #>  [76847] 100.19980  99.80982 100.04499  99.43339 100.03999 100.07497  99.72963 #>  [76854]  99.67949  99.55903  99.22701 100.02000  99.69955 100.10494  99.93998 #>  [76861] 100.47388  99.95999  99.71961  99.76472  99.82986  99.89494 100.03000 #>  [76868]  99.78978  99.86491 100.21477  99.69955  99.94498 100.23971  99.74467 #>  [76875] 100.17485 100.29457  99.43842 100.26964 100.31949  99.90495  99.90996 #>  [76882] 100.44401 100.30952 100.65784  99.89494 100.23971 100.00000  99.63433 #>  [76889] 100.00500 100.26964 100.06498  99.59920  99.84989  99.78978  99.92497 #>  [76896]  99.90495 100.00000  99.95999  99.99500  99.44848 100.04499 100.24470 #>  [76903]  99.97500  99.95499 100.31451 100.19980  99.67447 100.00000  99.92998 #>  [76910]  99.87993 100.06498 100.52363 100.27462 100.07497 100.03499 100.28958 #>  [76917]  99.71961  99.70456 100.19481  99.84989  99.87492  99.45351  99.93498 #>  [76924] 100.02500 100.18483  99.80481 100.07997 100.21976 100.06998 100.31451 #>  [76931] 100.50871  99.65440  99.94498 100.38924 100.35935 100.33444 100.79683 #>  [76938] 100.11993 100.32946  99.46356 100.36434  99.91997 100.16486  99.91997 #>  [76945]  99.81984  99.53894  99.94999  99.46356  99.83486 100.00000 100.58827 #>  [76952] 100.01000 100.07997  99.82485  99.84488  99.75971  99.88493  99.43339 #>  [76959] 100.11993 100.11993  99.84488 100.46890 100.14490  99.92998  99.57911 #>  [76966] 100.03499  99.85489 100.03999  99.54898 100.18483 100.60815 100.07497 #>  [76973]  99.99500  99.89494  99.67949 100.12992 100.29457  99.66945 100.13990 #>  [76980] 100.01000  99.59418 100.12492 100.08996 100.07997  99.70958 100.26465 #>  [76987] 100.29457  99.53894 100.13491 100.01000 100.03000  99.86992  99.84989 #>  [76994] 100.01500  99.60422  99.57409  99.91997  99.93998 100.62803 100.00500 #>  [77001] 100.14490 100.11993  99.44345  99.48869 100.48383  99.83486 100.13990 #>  [77008] 100.04999  99.81483 100.31451 100.19481  99.90996  99.72963  99.56405 #>  [77015] 100.22475 100.07997  99.76973 100.10494  99.63433 100.11993  99.81984 #>  [77022]  99.87492 100.40418 100.40916 100.62803  99.52889  99.45351 100.17485 #>  [77029]  99.96499 100.16486 100.03999  99.83486  99.64939 100.76210 100.21477 #>  [77036]  99.82485  99.74467  99.46859 100.25468  99.68952  99.83486  99.49372 #>  [77043] 100.22974 100.49378  99.39316  99.26228  99.80481 100.04499 100.11993 #>  [77050] 100.03000  99.58916 100.25468 100.39422 100.24470  99.79980 100.22974 #>  [77057] 100.20479  99.94498  99.62429  99.34284 100.03499  99.99500 100.41912 #>  [77064] 100.01500 100.20479  99.94498 100.05998  99.73966 100.00000 100.25966 #>  [77071] 100.26964  99.84488  99.89995 100.13491  99.83987 100.31451  99.90495 #>  [77078] 100.19980  99.77475  99.78477 100.24470 100.56341 100.48383  99.86491 #>  [77085] 100.10994  99.98500 100.06498  99.65942 100.05998 100.03000 100.12492 #>  [77092] 100.12492 100.01500  99.81984  99.95999 100.51368  99.78477 100.54352 #>  [77099] 100.39422 100.18483 100.35437 100.18982  99.83987  99.76472  99.87492 #>  [77106]  99.66444 100.09495 100.17984 100.18483  99.99000  99.50377 100.00000 #>  [77113] 100.11493 100.28460 100.38924 100.10494  99.78978  99.89995 100.06998 #>  [77120]  99.73966  99.67447 100.64293  99.79980 100.24969 100.16986  99.58916 #>  [77127]  99.86992  99.91997 100.31949 100.46392  99.77475 100.44401 100.13491 #>  [77134]  99.89494  99.61426  99.86992 100.15488 100.49378 100.05998 100.12992 #>  [77141]  99.30760  99.84488  99.72963  99.69453  99.64437  99.44848  99.73966 #>  [77148]  99.96499 100.33942 100.29955  99.72963  99.94999  99.94498  99.64939 #>  [77155]  99.89494  99.80481 100.17984 100.02000 100.07497 100.08496 100.02000 #>  [77162] 100.36932 100.00000 100.08496  99.99000 100.11993  99.60924  99.43842 #>  [77169]  99.71961  99.70456 100.04499  99.78978 100.26964  99.93998  99.86992 #>  [77176] 100.33444  99.82986 100.11993  99.80982 100.14490 100.39422 100.34939 #>  [77183]  99.44848  99.95999 100.52860 100.40418  99.90495 100.15488 100.01500 #>  [77190]  99.58414  99.86992  99.92497  99.86992  99.50879 100.01000 100.02500 #>  [77197] 100.45895 100.00500  99.55401  99.73465  99.81483  99.94498 100.32946 #>  [77204]  99.76472  99.77976 100.07997 100.27961 100.27462 100.12492 100.11493 #>  [77211] 100.05998  99.63935  99.84989  99.54898  99.70958  99.88994  99.83987 #>  [77218] 100.44899 100.06498  99.57409  99.46356  99.93498  99.57409  99.87993 #>  [77225]  99.61426 100.03000 100.25468 100.26465 100.02000 100.06498  99.59418 #>  [77232] 100.18483  99.92998 100.22974  99.86992  99.75470 100.41912  99.25724 #>  [77239] 100.31949 100.12492  99.49874  99.65440 100.05498  99.98500  99.92998 #>  [77246]  99.92998 100.70253 100.28958 100.17984 100.18982  99.82986  99.97000 #>  [77253] 100.18483 100.23971 100.01500 100.10494 100.53358 100.46392  99.75470 #>  [77260]  99.78477 100.22475 100.16486 100.09995 100.01500  99.67949 100.18483 #>  [77267] 100.23971  99.91496  99.69453 100.36932  99.76472  99.86992 100.44899 #>  [77274] 100.13491 100.08496  99.87492  99.74969 100.09995  99.75470 100.03999 #>  [77281]  99.82485 100.20479  99.98500  99.57911 100.61312 100.22974  99.83987 #>  [77288]  99.94498  99.82986 100.31949  99.85990  99.58414  99.62429 100.06998 #>  [77295] 100.15488 100.68267 100.37430  99.75470 100.29457  99.46356 100.01500 #>  [77302] 100.04999  99.79980 100.05498  99.47361  99.62429 100.19481  99.81984 #>  [77309]  99.81984 100.00000  99.92497 100.08996 100.22475 100.35935  99.92497 #>  [77316] 100.38426  99.70958 100.02000 100.10994  99.50879 100.37430 100.31451 #>  [77323] 100.15488 100.52860  99.82485 100.56838  99.44345 100.29457  99.93998 #>  [77330] 100.04499  99.79980 100.34441 100.16486  99.98500 100.01500  99.91997 #>  [77337]  99.78978 100.19481  99.99000 100.29457 100.45397 100.05498 100.00500 #>  [77344] 100.30454  99.84989 100.50373 100.40418 100.29955  99.85990  99.86992 #>  [77351]  99.58414  99.96499  99.94498  99.62429  99.86992  99.84989 100.17485 #>  [77358]  99.53391 100.35935 100.03999  99.61426 100.04999  99.73966  99.70958 #>  [77365]  99.72462  99.74467 100.62803 100.33444 100.04499  99.80481 100.02000 #>  [77372]  99.82485 100.29457 100.30952 100.39422 100.43406 100.46890 100.25468 #>  [77379]  99.38310  99.93498 100.14989  99.70456  99.66945  99.90996  99.74467 #>  [77386]  99.74969  99.55401 100.09495 100.25468  99.47864 100.17485 100.31949 #>  [77393] 100.01500 100.53855  99.95499  99.85990 100.20479  99.86992  99.93498 #>  [77400] 100.20978 100.36932 100.14490  99.45351  99.74467  99.79479 100.54850 #>  [77407] 100.21976 100.09995 100.01000  99.87993 100.27462  99.76472  99.69453 #>  [77414] 100.70253 100.15987  99.49874 100.03499 100.48881  99.71459  99.66444 #>  [77421] 100.26964 100.21477  99.87492  99.67447  99.68450 100.32946 100.64790 #>  [77428] 100.53855 100.11993 100.24470  99.62931  99.53894 100.12992  99.89494 #>  [77435] 100.66777 100.50373 100.32946 100.19980  99.69955  99.89995 100.47885 #>  [77442]  99.55903 100.14490 100.37430  99.60422  99.52889  99.94999 100.79683 #>  [77449] 100.24470  99.66945 100.10994  99.38813 100.16986 100.40418  99.72462 #>  [77456]  99.45853  99.60422 100.16986 100.05998 100.05998 100.03999 100.19980 #>  [77463] 100.12992  99.65942  99.17661  99.68450  99.78477  99.79479 100.54850 #>  [77470]  99.87492 100.40916  99.75971 100.06498 100.02500 100.31451  99.92497 #>  [77477]  99.38813  99.45853  99.62429  99.79479  99.72462  99.55903  99.72462 #>  [77484] 100.24969  99.35794  99.97500 100.08496 100.43904  99.94498 100.44401 #>  [77491]  99.81984 100.35437 100.33444  99.79479  99.92998 100.35935  99.99500 #>  [77498]  99.62429  99.49372 100.25966  99.97500 100.14989  99.90495  99.76472 #>  [77505]  99.74467  99.67447 100.51865  99.85990 100.26465 100.19481  99.53894 #>  [77512] 100.13491  99.98500 100.17984 100.36932 100.26465 100.39920  99.78978 #>  [77519] 100.57833 100.21477  99.80481 100.26964  99.62931  99.78477  99.77475 #>  [77526]  99.28243 100.05998  99.43842  99.99000 100.26465  99.76973 100.45895 #>  [77533]  99.91496  99.82485  99.77475 100.00000 100.78194  99.73465  99.94999 #>  [77540] 100.24969  99.95499  99.79479 100.21976 100.65287 100.13990  99.72963 #>  [77547]  99.67447  99.98500 100.00000  99.79980 100.55347  99.73465  99.66444 #>  [77554] 100.07497 100.13491 100.23472 100.67770  99.80982 100.25468  99.74969 #>  [77561]  99.78978  99.74969 100.10994  99.44345 100.47388  99.80982 100.17984 #>  [77568] 100.34939 100.48383  99.80481 100.11993 100.28460 100.07997 100.43406 #>  [77575] 100.50373 100.02500  99.86491  99.40322 100.18982  99.67949  99.94498 #>  [77582]  99.37807  99.23205  99.88994 100.23971 100.32946 100.15488  99.95499 #>  [77589]  99.94498 100.05498  99.53894 100.32946  99.66945 100.21477 100.13990 #>  [77596] 100.26465 100.23472 100.06498  99.80982  99.79980 100.37928  99.96499 #>  [77603]  99.56405 100.36434 100.02500  99.84488  99.98000 100.14490 100.33942 #>  [77610] 100.09995 100.14490 100.03499 100.24470  99.99500  99.83486  99.98500 #>  [77617] 100.08996  99.74969 100.25468 100.02500 100.22475  99.89995 100.52363 #>  [77624]  99.85489 100.10494 100.54352 100.35935  99.60924 100.47885 100.21976 #>  [77631]  99.85990  99.89995  99.44848 100.01500 100.36434  99.73465  99.61426 #>  [77638] 100.08996 100.31949  99.53894 100.41912  99.95999  99.67447  99.82485 #>  [77645] 100.19980  99.82986  99.61426  99.62931  99.69955 100.16986  99.96499 #>  [77652] 100.22475  99.64939 100.33942  99.99500  99.72963 100.05498  99.90495 #>  [77659]  99.87993  99.85489  99.79980  99.80982  99.83486 100.11993  99.59418 #>  [77666] 100.07497 100.04499 100.07497 100.15488 100.29457 100.41912  99.66444 #>  [77673] 100.17984  99.91997 100.18483  99.76472  99.44345 100.26465 100.19481 #>  [77680]  99.76472  99.76472  99.79479 100.12492  99.88493 100.37430  99.86992 #>  [77687] 100.35437  99.97500 100.36434 100.57833 100.23971 100.39920 100.27462 #>  [77694]  99.85990  99.95999  99.94999  99.75470 100.09495 100.17984 100.02000 #>  [77701]  99.42334 100.25966 100.09995 100.09995  99.93498 100.54352  99.79479 #>  [77708] 100.09495 100.08996 100.07497  99.93498 100.29457 100.28958  99.86491 #>  [77715]  99.89995 100.03999  99.60924 100.19980  99.97500 100.08996 100.27462 #>  [77722] 100.40418  99.95499  99.79980 100.26964  99.94498 100.23472  99.89494 #>  [77729] 100.20978 100.16486  99.52889 100.01500 100.12492 100.42908 100.16986 #>  [77736]  99.78477  99.71459 100.67770  99.82485 100.39920 100.31949 100.37928 #>  [77743] 100.38924 100.04999  99.79479 100.05998 100.04499  99.88994  99.72963 #>  [77750] 100.32447 100.19980  99.98000  99.86992 100.41912 100.10994  99.73966 #>  [77757]  99.39316 100.40418 100.30952 100.25966 100.43904  99.69955  99.94498 #>  [77764] 100.32447 100.28958  99.84488  99.74969  99.92497 100.12492  99.76472 #>  [77771] 100.11493  99.94999 100.29457  99.81483 100.02500  99.93998  99.48869 #>  [77778] 100.48383  99.87492 100.66280  99.93998 100.33444 100.17485 100.48383 #>  [77785]  99.43842  99.88493  99.76973  99.54396  99.79479  99.35291 100.38924 #>  [77792]  99.91496  99.91997  99.65440 100.28460 100.17984 100.38924  99.76973 #>  [77799] 100.57833 100.23971 100.03499  99.83987  99.89995 100.01500 100.20978 #>  [77806] 100.00500  99.86491 100.21477  99.81984  99.52387  99.82986 100.11493 #>  [77813] 100.11993  99.79479  99.95999  99.95999  99.88493  99.88994  99.42334 #>  [77820] 100.24470 100.00000 100.12992  99.94999 100.36932  99.93498 100.03000 #>  [77827]  99.79479 100.08996 100.14490  99.72963 100.21976  99.60924  99.83987 #>  [77834] 100.32447 100.22475  99.82986  99.68450 100.03499  99.75470 100.04999 #>  [77841]  99.90495 100.12992  99.94498 100.12992  99.68450  99.90495  99.72462 #>  [77848] 100.16486  99.96499 100.02500 100.28460  99.74467 100.32447 100.32946 #>  [77855] 100.06998 100.03999 100.48383 100.24969 100.00000  99.75971 100.40916 #>  [77862] 100.52363 100.32447 100.06498  99.58916 100.16986 100.05498  99.82986 #>  [77869]  99.65942  99.82485 100.02500  99.87993  99.91496  99.87492 100.47885 #>  [77876]  99.82986  99.92497 100.41414  99.83987  99.39819  99.57911 100.52860 #>  [77883]  99.93498 100.25468 100.26465  99.84989 100.18483  99.59418  99.68450 #>  [77890]  99.84488 100.30454  99.94498  99.86992  99.75470 100.03499  99.67949 #>  [77897] 100.16986  99.86992 100.00500  99.82986 100.00500 100.43406  99.78477 #>  [77904] 100.04499  99.87492 100.26465  99.97000 100.07997 100.08996 100.48383 #>  [77911]  99.78477  99.80481  99.94498 100.28958 100.15987 100.03000  99.69955 #>  [77918] 100.27961 100.02500  99.76472 100.05498 100.53855 100.03499  99.80481 #>  [77925]  99.77976 100.05998  99.60924 100.04499  99.89494  99.83987  99.60924 #>  [77932]  99.60924  99.90996  99.70456  99.90495 100.04499  99.89494  99.68952 #>  [77939] 100.51865  99.73465 100.23472 100.14490 100.07997  99.66945  99.96499 #>  [77946]  99.82485  99.70456 100.21477  99.62931 100.28958 100.07497 100.10994 #>  [77953]  99.80982  99.82485  99.97000 100.17485 100.13491 100.52363 100.20978 #>  [77960] 100.26964 100.12492 100.11993  99.89494 100.13491  99.79479  99.99000 #>  [77967]  99.34284  99.56907 100.03499 100.31949 100.15488 100.18982 100.49378 #>  [77974] 100.37430 100.16986 100.16986 100.23472  99.86992 100.00000 100.30454 #>  [77981]  99.73966  99.83486 100.19481  99.77475 100.14989 100.44899  99.56907 #>  [77988]  99.28746 100.23971  99.45853 100.15987 100.26964  99.91997 100.21477 #>  [77995]  99.69453  99.51382  99.79980  99.88493  99.59920 100.06998 100.14490 #>  [78002]  99.53894  99.99000  99.87492 100.00000  99.86992  99.90495 100.03000 #>  [78009] 100.18483  99.88493 100.12992  99.84488  99.69955 100.34939  99.69955 #>  [78016]  99.78978  99.74969  99.80982  99.91496 100.16986 100.04999  99.84989 #>  [78023]  99.88493 100.05498  99.90495  99.31264  99.64437  99.99000 100.06498 #>  [78030] 100.26465  99.73966  99.92998  99.97000 100.64293 100.11993  99.94498 #>  [78037] 100.04499 100.03499  99.99000 100.03000  99.79980 100.12992  99.73966 #>  [78044]  99.86491  99.48367  99.86992  99.55903  99.95999  99.85990  99.30760 #>  [78051] 100.16486  99.76472 100.23971 100.08496  99.71961 100.32946 100.45895 #>  [78058] 100.03999  99.86992 100.12492  99.70958 100.17485 100.18483  99.99500 #>  [78065] 100.21976  99.53391  99.61928 100.10494  99.94999 100.50373 100.14989 #>  [78072] 100.05998  99.96499 100.12492  99.49372  99.94498  99.65942 100.13990 #>  [78079]  99.63433  99.78978  99.84488  99.40825 100.06998  99.63433 100.11993 #>  [78086] 100.03000  99.68450 100.14989  99.78477  99.68450  99.81984  99.90996 #>  [78093] 100.38924 100.10494 100.42908 100.45895  99.88994 100.66280  99.95999 #>  [78100] 100.22475 100.07997 100.32946 100.15987 100.04999  99.63433 100.08996 #>  [78107]  99.99000  99.95499  99.56405 100.60815  99.88994  99.47361  99.61928 #>  [78114] 100.56341 100.30454 100.01000  99.61928 100.28460  99.60422  99.30760 #>  [78121]  99.43842  99.48869  99.56907 100.34441 100.29955 100.06998 100.07997 #>  [78128]  99.48869 100.06998  99.91496 100.08496  99.95999  99.94999 100.21477 #>  [78135]  99.58414  99.28243  99.71961 100.12992  99.74969 100.37430  99.69453 #>  [78142]  99.92497  99.95999  99.67949  99.81483 100.27961  99.76973  99.48367 #>  [78149]  99.92497 100.07997  99.86992 100.08496 100.34939  99.48367 100.30454 #>  [78156]  99.75971 100.51368 100.25966  99.37303  99.79980 100.09495 100.15488 #>  [78163]  99.81984  99.62429  99.58916 100.42908 100.02500 100.40418  99.53894 #>  [78170] 100.09995 100.26465 100.61312 100.24470 100.01500 100.43406  99.94999 #>  [78177] 100.03499  99.92497  99.31264  99.80481 100.19481  99.70958 100.22974 #>  [78184]  99.78978 100.11493  99.64939 100.05498  99.76973 100.25468 100.22475 #>  [78191] 100.63797 100.25468  99.73966 100.02000  99.74467 100.30952 100.43904 #>  [78198] 100.04499 100.32447  99.30257 100.11993 100.21477 100.23971  99.96499 #>  [78205] 100.18483 100.22475 100.22475 100.03999  99.79479  99.79980  99.56405 #>  [78212] 100.23472  99.92497 100.51368  99.78978 100.47388 100.35935 100.27961 #>  [78219]  99.99500  99.73966 100.16986 100.02500 100.11993  99.77976 100.27961 #>  [78226] 100.43406 100.18982 100.14989  99.73966  99.83486  99.66444 100.28958 #>  [78233]  99.72462 100.22974 100.04499  99.94999  99.96499 100.18483 100.38924 #>  [78240]  99.98500  99.50879  99.76472  99.70456  99.52387 100.18982 100.17485 #>  [78247] 100.25966 100.42908  99.66444  99.83987  99.86992 100.32447  99.72963 #>  [78254] 100.11493  99.67949  99.95999  99.69955 100.20479 100.43406 100.38924 #>  [78261]  99.41328  99.82986 100.07997  99.87492  99.68450  99.78978  99.96499 #>  [78268] 100.36434  99.94999 100.30952 100.08996 100.31949  99.78477 100.19980 #>  [78275]  99.76472  99.91997  99.79980  99.49874  99.62931 100.23971  99.86491 #>  [78282] 100.01500 100.07997 100.31451  99.86491 100.20978  99.40322  99.56405 #>  [78289] 100.38924  99.88493  99.95999  99.68952  99.74969  99.93998 100.30454 #>  [78296]  99.70958 100.13491 100.32447  99.86992 100.17984  99.78477  99.65942 #>  [78303] 100.35437  99.79980 100.43406  99.75470 100.05498  99.96499  99.83987 #>  [78310] 100.38426 100.09995  99.73465  99.37303  99.74969 100.18982  99.90495 #>  [78317] 100.41912 100.06998 100.10494 100.16486 100.20978  99.98500  99.91997 #>  [78324]  99.58916  99.98000 100.01000 100.34441  99.96499 100.22475 100.17485 #>  [78331]  99.90996  99.26228 100.04499  99.59418  99.53391  99.78477 100.28958 #>  [78338]  99.73966  99.85489 100.25966 100.15987  99.72462 100.31451  99.86992 #>  [78345] 100.06998  99.81483  99.69453 100.14989  99.46859  99.54898  99.88994 #>  [78352] 100.46890 100.03499 100.39422 100.62803  99.90495  99.68952  99.28243 #>  [78359]  99.71961  99.59920 100.10994 100.01000  99.99000  99.52889 100.13990 #>  [78366]  99.72963 100.13491 100.08996  99.67447 100.31949  99.83987 100.01000 #>  [78373] 100.40418  99.87492  99.69453 100.07497 100.41912  99.76973  99.82986 #>  [78380] 100.17984 100.31949  99.88994  99.67447  99.49874  99.95999 100.14989 #>  [78387] 100.07997 100.21477 100.26964 100.55844  99.17157 100.34939 100.21976 #>  [78394]  99.85489 100.32946 100.34939 100.02000 100.16486  99.69955  99.98000 #>  [78401]  99.60422 100.10494  99.60924  99.76973  99.86491  99.53391 100.29457 #>  [78408] 100.18483 100.42410 100.03999 100.45895  99.68450  99.89995  99.86491 #>  [78415]  99.66444 100.10494  99.56907 100.26465  99.64437 100.24969  99.86992 #>  [78422] 100.29457  99.81483  99.86992 100.20978  99.66444 100.06998 100.23472 #>  [78429] 100.02000  99.74467  99.89995 100.17485 100.11993 100.12992 100.15987 #>  [78436] 100.17485  99.73966 100.07497  99.46356  99.91997  99.59920 100.32946 #>  [78443]  99.76472  99.65440 100.11493 100.02500 100.23472  99.92998 100.60815 #>  [78450]  99.65942  99.93998  99.98000  99.61426 100.06498 100.05498 100.14490 #>  [78457]  99.71961  99.69955 100.22974 100.14490  99.55401  99.89995 100.76210 #>  [78464] 100.06998 100.45895  99.76973 100.50871  99.99000  99.75971  99.82485 #>  [78471]  99.56907  99.58414  99.85489  99.78978  99.71961 100.22475 100.49378 #>  [78478] 100.23971  99.93998 100.01000  99.89995  99.69453 100.12992  99.62429 #>  [78485]  99.65942 100.20978  99.64939 100.27961 100.17984 100.15987  99.90495 #>  [78492]  99.38310 100.09995 100.14490  99.94999  99.65942  99.72462  99.71459 #>  [78499]  99.75971 100.38924 100.08496  99.97500 100.34441  99.98500  99.73966 #>  [78506]  99.70456  99.67447 100.14989 100.57833  99.99000  99.54396  99.47361 #>  [78513] 100.22475 100.29457  99.83987 100.69757 100.09995  99.75971 100.28958 #>  [78520] 100.04499 100.00000  99.94498 100.24470 100.31451 100.85138  99.48869 #>  [78527]  99.76472  99.80481 100.08996 100.32447  99.77475  99.72963 100.37928 #>  [78534]  99.49372  99.88994 100.02000 100.00000  99.94498 100.06498 100.02500 #>  [78541]  99.92998 100.04499  99.78978 100.00500 100.32946  99.46356  99.78477 #>  [78548]  99.47361  99.69453  99.92998 100.25966 100.23971  99.91997  99.89494 #>  [78555] 100.20978 100.80675 100.46392  99.53391 100.01000  99.77976  99.95499 #>  [78562]  99.93498  99.57911 100.06998 100.41912  99.55903  99.56907 100.07497 #>  [78569]  99.83987 100.43904 100.37928  99.62429 100.02000  99.49874 100.06498 #>  [78576] 100.51368 100.40418  99.99500  99.79980 100.11493 100.16986 100.30454 #>  [78583] 100.37430  99.79980  99.84989  99.83486 100.04999 100.08996 100.41414 #>  [78590]  99.56907  99.57911  99.95499  99.55903 100.33444  99.92998 100.17984 #>  [78597]  99.85489  99.66945 100.05998 100.14989 100.32447  99.87492 100.13990 #>  [78604]  99.79479  99.78978 100.12992 100.31451  99.71459  99.61426  99.55401 #>  [78611] 100.15488 100.19481  99.62931 100.58827 100.31949 100.32447  99.97000 #>  [78618]  99.86992  99.90996 100.08996  99.81483 100.05998 100.30454  99.93498 #>  [78625]  99.90996 100.14490 100.01500  99.88994 100.05998  99.79980  99.84488 #>  [78632]  99.82986  99.98500 100.70750  99.88493 100.23971 100.64293 100.24470 #>  [78639] 100.34939  99.79980 100.21976  99.48367  99.69955  99.85489  99.63935 #>  [78646] 100.17984 100.34939 100.40418 100.11993 100.25966  99.88994  99.92497 #>  [78653]  99.99500 100.30454 100.51865  99.58414  99.91496  99.55401 100.41414 #>  [78660] 100.00000 100.02000 100.07997 100.21976  99.71961 100.02500  99.88493 #>  [78667] 100.16486  99.78477 100.03000  99.95499  99.68952 100.28460 100.11993 #>  [78674] 100.15987  99.77976 100.38426 100.35935 100.20978  99.97500 100.33942 #>  [78681]  99.78978 100.31451 100.13491 100.39422  99.85489  99.90996  99.98500 #>  [78688]  99.73966  99.51382 100.03999  99.33781  99.97000  99.98500 100.20978 #>  [78695]  99.63433 100.24470 100.02500 100.01500  99.80982 100.40418  99.84989 #>  [78702]  99.70456 100.13491 100.22974  99.54898 100.73232 100.04999  99.65942 #>  [78709]  99.84488  99.97000  99.92998  99.78477  99.92497 100.42908 100.05998 #>  [78716] 100.02000 100.01500  99.83486 100.08496  99.43339 100.20978  99.86992 #>  [78723] 100.15987 100.20978 100.11993  99.58414 100.35437  99.84989  99.73966 #>  [78730] 100.24969 100.03000 100.22475 100.26964  99.86992  99.81984 100.45397 #>  [78737]  99.89995 100.00000 100.02500  99.79980 100.50871 100.19980  99.81984 #>  [78744] 100.13990 100.12992  99.58414 100.46392  99.99000  99.46859 100.26964 #>  [78751] 100.04499  99.99500  99.80481 100.39920  99.41831  99.90495 100.35935 #>  [78758]  99.66945 100.13491  99.84989 100.16486  99.71961  99.88994  99.98500 #>  [78765] 100.15488  99.84488 100.05498 100.02000  99.72462 100.19980 100.07497 #>  [78772] 100.16486 100.13990 100.35935 100.20978  99.85489  99.20181  99.75470 #>  [78779]  99.68952 100.39422 100.46890 100.59821  99.84989  99.89494  99.91997 #>  [78786]  99.95499 100.67770  99.65942  99.92998 100.19481  99.60924  99.74467 #>  [78793] 100.69260  99.60422  99.83486  99.78978 100.04499  99.74467  99.50879 #>  [78800] 100.30952 100.09495 100.38924 100.53855 100.15488  99.68450  99.91997 #>  [78807]  99.72462 100.32946  99.79980  99.95999 100.10494  99.86992 100.06998 #>  [78814]  99.88493 100.34441 100.00500 100.62306 100.03999  99.61928 100.04999 #>  [78821] 100.04999  99.35794 100.31451 100.05498 100.50871 100.21477  99.75971 #>  [78828] 100.36434  99.78477 100.30454 100.36932  99.90495  99.83486 100.17485 #>  [78835]  99.89494 100.27462  99.48869  99.91496  99.80982 100.12992  99.84488 #>  [78842] 100.04499 100.03000 100.21976  99.49372  99.79479 100.20479  99.72462 #>  [78849]  99.64939  99.90996  99.93498 100.20479 100.08996  99.94999 100.30952 #>  [78856]  99.84488 100.19980 100.09495 100.31451 100.12992 100.12992  99.79980 #>  [78863] 100.38924 100.30952  99.53894  99.77976 100.15987  99.95499  99.68952 #>  [78870]  99.66444  99.65942  99.60422  99.84488  99.60422  99.73465 100.08496 #>  [78877]  99.99000 100.38924 100.19980 100.49876 100.26964 100.22974  99.64437 #>  [78884]  99.81984 100.00000  99.85990 100.16486 100.23472  99.77475 100.37928 #>  [78891]  99.70958 100.35437  99.95999 100.51865 100.35437 100.28460  99.92998 #>  [78898]  99.98000  99.67949  99.79980 100.20479 100.44899  99.42837  99.89494 #>  [78905] 100.72239 100.18483 100.51368 100.31949 100.25468 100.15987  99.97000 #>  [78912] 100.12492  99.90996  99.87492  99.77475  99.70958 100.23472  99.54898 #>  [78919] 100.35437  99.57409 100.14989  99.93498  99.44848 100.20978  99.98500 #>  [78926] 100.03999  99.94999 100.00500 100.01500 100.49378  99.94498  99.98000 #>  [78933]  99.66444  99.85990  99.46859  99.78477 100.03000 100.11493  99.90996 #>  [78940] 100.03000  99.48869  99.95499 100.35935 100.52363 100.01500  99.92497 #>  [78947]  99.88994 100.17485  99.53894 100.47885 100.14490  99.82485 100.17984 #>  [78954] 100.04499 100.30952  99.75470 100.22974 100.05998  99.84488  99.89494 #>  [78961]  99.64939 100.10494 100.40418 100.15488  99.90996 100.06998  99.57911 #>  [78968] 100.09995  99.86992 100.25468 100.43406 100.43406  99.81984 100.20978 #>  [78975]  99.62429  99.80481 100.26465 100.26465  99.90495 100.28958 100.45895 #>  [78982]  99.86992  99.58414  99.99500 100.30454 100.37430 100.07497  99.83987 #>  [78989] 100.33942 100.03000 100.32447  99.95999  99.90996  99.83486 100.15987 #>  [78996]  99.61426 100.13990 100.02500  99.97500  99.42837 100.20479  99.88493 #>  [79003]  99.68450 100.13491 100.08496 100.02000 100.13491 100.05998 100.33444 #>  [79010] 100.45397 100.49378 100.09495 100.15987 100.22475 100.18483  99.86992 #>  [79017]  99.80982 100.38426 100.34939  99.86992  99.73465 100.04499  99.68450 #>  [79024]  99.38813  99.70958 100.02500  99.61426  99.91997 100.11993  99.88994 #>  [79031] 100.04999 100.49876  99.86992  99.81984 100.09495 100.05998  99.91496 #>  [79038] 100.52860 100.46392 100.27961  99.63433 100.11993 100.00500 100.19980 #>  [79045]  99.64939  99.90996 100.21477  99.90996  99.81984 100.39920 100.10994 #>  [79052] 100.38426  99.60924  99.68952  99.58414 100.14989 100.13990 100.25966 #>  [79059]  99.95999 100.33942  99.59920 100.11993  99.99000  99.44848  99.57409 #>  [79066] 100.25468  99.83486  99.93998 100.20978  99.69453  99.90495 100.48383 #>  [79073]  99.72462  99.59920  99.69955 100.03499 100.23971 100.19481 100.24969 #>  [79080]  99.93998 100.01000 100.07497 100.22974 100.53855 100.15488  99.95999 #>  [79087]  99.99000  99.50377 100.00000 100.02500  99.77976  99.99000  99.35794 #>  [79094]  99.83987  99.65440  99.74969  99.76973 100.03000  99.84989  99.66444 #>  [79101] 100.07997  99.73465 100.29955  99.80481  99.65440 100.28460 100.28460 #>  [79108]  99.78978  99.63935 100.05498  99.82986  99.78477  99.90495  99.96499 #>  [79115] 100.24969  99.65942  99.95999 100.23472  99.90996 100.01000 100.17984 #>  [79122]  99.85489 100.22974 100.50373 100.09995  99.74969 100.03999  99.91997 #>  [79129]  99.79980  99.59920 100.42410 100.09495 100.34939  99.60924  99.99500 #>  [79136] 100.41414 100.06498  99.79980  99.48869  99.51382 100.29955  99.97000 #>  [79143]  99.68952  99.98500  99.45351  99.44345  99.77475  99.70958  99.92497 #>  [79150]  99.90996  99.77475  99.85489  99.98500  99.91496  99.89995 100.21976 #>  [79157]  99.63935 100.12992 100.11993 100.20479  99.80982  99.88994 100.35935 #>  [79164] 100.17984  99.59418 100.00500 100.15987 100.18982  99.82986 100.21976 #>  [79171]  99.81483 100.17485 100.23971 100.42908 100.59821  99.85990  99.86491 #>  [79178]  99.61928 100.03499  99.91997  99.88493 100.16486 100.43904  99.98500 #>  [79185] 100.09495  99.88493 100.03000 100.07997  99.59418 100.31451  99.73966 #>  [79192]  99.92497 100.15488 100.17984  99.97500  99.67447 100.40916  99.36297 #>  [79199]  99.85489  99.96499  99.69955 100.05998  99.86992  99.63935  99.85489 #>  [79206] 100.51368 100.69260 100.17485  99.87492 100.15488 100.02000 100.11493 #>  [79213]  99.76973  99.59920 100.74225 100.34939 100.25468 100.18483 100.37430 #>  [79220] 100.11493 100.04499  99.25724 100.05998  99.56405 100.26964  99.99000 #>  [79227]  99.75971  99.94999  99.95499  99.71961 100.11493  99.86491  99.67447 #>  [79234] 100.07997  99.64437  99.90996  99.94999 100.09995 100.27462  99.64437 #>  [79241] 100.01000  99.49874  99.61928 100.09995 100.18982 100.00500 100.27462 #>  [79248]  99.93498  99.78477 100.17485 100.06498  99.72462  99.93998  99.87993 #>  [79255]  99.94999 100.47885  99.54396  99.82986 100.11993  99.89494 100.17984 #>  [79262]  99.97000 100.38426 100.23472 100.26964 100.03000  99.97500  99.89995 #>  [79269] 100.67770  99.52387  99.82986 100.14490  99.84989  99.83987 100.11493 #>  [79276]  99.88994  99.76472 100.03499  99.90495  99.70958 100.42908  99.98500 #>  [79283] 100.15987  99.86491 100.05998  99.85489 100.31949 100.25966  99.46356 #>  [79290]  99.83987 100.19980 100.06998  99.79479 100.35935  99.61928  99.78477 #>  [79297]  99.92998 100.13491  99.94498  99.96499  99.79479 100.09495 100.27961 #>  [79304] 100.03000  99.42837 100.11993 100.24969  99.79980  99.79479 100.07997 #>  [79311]  99.92998 100.35437  99.88493 100.06998  99.92497 100.12992  99.80481 #>  [79318]  99.72462 100.04499  99.37807  99.70958  99.96499 100.09995  99.84989 #>  [79325] 100.02000 100.18483 100.47388  99.73966  99.99000  99.68450 100.10494 #>  [79332]  99.39819 100.09495 100.62306 100.03499 100.05498 100.31451  99.78978 #>  [79339] 100.13491  99.33781  99.75971 100.02500  99.84488 100.02500 100.25468 #>  [79346]  99.98000 100.09995 100.01000 100.16486 100.29955  99.72462 100.06998 #>  [79353] 100.21976 100.66280  99.98000 100.56838 100.35935 100.71246  99.82986 #>  [79360]  99.37303  99.29753  99.69453 100.04999 100.15488 100.20978 100.07497 #>  [79367]  99.79479 100.52363  99.83486  99.82986 100.02500  99.99000  99.90996 #>  [79374] 100.09995 100.34441  99.91496  99.84989  99.96499 100.20978  99.65440 #>  [79381] 100.27961  99.87993  99.77475  99.63433  99.75470 100.32447 100.40916 #>  [79388] 100.42908 100.22475 100.53358 100.61809  99.63935  99.49372  99.54396 #>  [79395] 100.12992 100.34939 100.21477  99.74969  99.68952  99.87993 100.27462 #>  [79402]  99.89995 100.61809  99.70456 100.64293  99.45351 100.48383  99.51382 #>  [79409] 100.33444 100.42908  99.95499  99.97000 100.17984  99.88493  99.91997 #>  [79416] 100.37928 100.47885 100.07997 100.15488  99.80982  99.69955  99.79479 #>  [79423]  99.67447  99.79479 100.57833  99.65942  99.93498  99.28746  99.82986 #>  [79430]  99.61928 100.28460 100.16986 100.05498  99.84989 100.04499  99.76472 #>  [79437]  99.91997  99.78978 100.32447  99.46859 100.44899 100.01000 100.05998 #>  [79444]  99.66945  99.98000 100.19980  99.46356  99.87993 100.12492 100.36932 #>  [79451] 100.25966  99.46356  99.68952 100.20479  99.97500  99.60924  99.60422 #>  [79458] 100.03000 100.13491 100.09495 100.11993  99.66444  99.73966 100.55844 #>  [79465] 100.52860 100.53358  99.99500 100.10494  99.96499  99.78978 100.13491 #>  [79472]  99.78978  99.64939 100.21477 100.21477  99.48869  99.95999 100.03999 #>  [79479] 100.27462  99.74467  99.78477 100.06998 100.18483  99.77475 100.09495 #>  [79486]  99.76472  99.83486  99.94999  99.97500 100.42908  99.90495 100.13990 #>  [79493] 100.15987 100.26964  99.99000 100.03000 100.33444 100.22475 100.53855 #>  [79500] 100.03999 100.06998  99.93998  99.99500  99.51884  99.89995  99.76973 #>  [79507]  99.94498  99.33277  99.53391 100.26465 100.08496  99.74467  99.90996 #>  [79514]  99.96499  99.67447  99.97500 100.50871  99.70456  99.79479  99.52889 #>  [79521] 100.04499  99.80982 100.38924  99.82986 100.41912  99.74467 100.10494 #>  [79528] 100.14989 100.11493  99.59920  99.62429 100.20978  99.56405 100.08496 #>  [79535] 100.45397 100.79683  99.77475  99.63935 100.06498 100.25966 100.33444 #>  [79542] 100.26465 100.32946  99.84488 100.04499  99.66945  99.85990  99.60422 #>  [79549]  99.90996  99.80481  99.81483 100.10494 100.35437  99.68450 100.25966 #>  [79556] 100.03999  99.95499 100.04999 100.16486  99.98000 100.31451  99.86491 #>  [79563] 100.24969  99.55401  99.66945 100.02000 100.37928  99.89995  99.71459 #>  [79570] 100.00000  99.57911 100.49876 100.13990  99.74467  99.53894  99.76973 #>  [79577] 100.23971  99.41328 100.30454  99.58414 100.29955 100.04499 100.41414 #>  [79584] 100.18982 100.40916  99.66444  99.98500 100.11493  99.78477  99.85489 #>  [79591]  99.68952 100.09495  99.71961  99.88493 100.10994 100.12992 100.18483 #>  [79598] 100.30952 100.45895 100.46890  99.55401  99.56405 100.06998 100.01500 #>  [79605] 100.15987  99.87492  99.85990  99.73966 100.03000  99.50377 100.06498 #>  [79612] 100.04499  99.79980  99.66444 100.04999  99.84989 100.09995  99.42837 #>  [79619] 100.27462  99.99500 100.04499  99.51382 100.18483 100.00500 100.07497 #>  [79626]  99.97000 100.21477  99.38310 100.10994 100.41414 100.00000  99.87993 #>  [79633] 100.26465 100.33942 100.07497 100.42908 100.18483  99.78477  99.40322 #>  [79640]  99.94498 100.41912 100.51368  99.84488 100.29457  99.74969  99.77475 #>  [79647] 100.15987 100.68764 100.09995  99.47361 100.05498  99.65942  99.78477 #>  [79654] 100.32447 100.18982 100.66280  99.95999 100.22974  99.89494  99.78477 #>  [79661]  99.78978  99.36297 100.05998 100.02500  99.91997 100.07997  99.86491 #>  [79668]  99.66444 100.07997  99.43842  99.82986  99.55903 100.52363  99.92497 #>  [79675] 100.57833 100.09995 100.33444  99.95999  99.64437  99.94999  99.83987 #>  [79682] 100.06998 100.42410  99.97500  99.78477 100.50871 100.10494  99.52889 #>  [79689]  99.81984 100.47388  99.58414 100.39920  99.57911  99.85990  99.74467 #>  [79696] 100.30454 100.27462 100.52860 100.28460 100.14490 100.50373 100.17485 #>  [79703]  99.65942  99.87993  99.58414  99.70958  99.70958  99.79980  99.82986 #>  [79710]  99.13123 100.23472 100.16486 100.22974 100.00500 100.17485 100.21477 #>  [79717] 100.33942 100.29457  99.45351 100.01000  99.73465  99.89494 100.03000 #>  [79724] 100.05498 100.14490  99.86491 100.40916  99.89494  99.85990  99.75971 #>  [79731] 100.03499  99.89995  99.88493 100.24969  99.74969  99.84989  99.99500 #>  [79738]  99.79980  99.94498  99.81984 100.55844  99.87993 100.41912  99.91496 #>  [79745] 100.49378  99.57911 100.34939  99.66444  99.47864 100.58827  99.83486 #>  [79752]  99.97500 100.02500 100.50871 100.04499  99.83486 100.28958  99.77976 #>  [79759] 100.42410 100.13491 100.58330  99.96499 100.23472 100.14490  99.70958 #>  [79766] 100.26964  99.91997  99.83987 100.01000  99.54396  99.69955 100.26465 #>  [79773] 100.29955  99.91997  99.84488 100.15488  99.97000  99.43339  99.77976 #>  [79780] 100.06998 100.51368 100.00500 100.00500  99.82986 100.60318  99.89494 #>  [79787] 100.12492  99.65440  99.73465  99.79980  99.52387  99.82485  99.56907 #>  [79794]  99.45351 100.36932  99.66444 100.36434 100.10994 100.25468 100.22974 #>  [79801] 100.32946 100.17485 100.49378 100.03000 100.23472 100.28958  99.63935 #>  [79808] 100.22475  99.88493  99.59920 100.04999 100.26964 100.13491  99.99500 #>  [79815] 100.06498 100.02000  99.34284 100.26465  99.63433 100.18483  99.99000 #>  [79822] 100.16486  99.56907 100.00500 100.23472 100.08996 100.07997  99.73465 #>  [79829]  99.58414  99.58414 100.41912 100.32946 100.14490  99.96499 100.09995 #>  [79836] 100.27462  99.84488 100.41912 100.01000  99.46356  99.73966  99.80982 #>  [79843] 100.04999  99.97000 100.03000 100.17984 100.19980 100.68267 100.30454 #>  [79850]  99.85990  99.63433  99.68450  99.89995  99.60422  99.87492 100.36434 #>  [79857]  99.60422  99.78477  99.83987 100.23971  99.91496  99.24213 100.41414 #>  [79864]  99.96499 100.03499  99.89995  99.53391 100.22475 100.18483  99.70958 #>  [79871]  99.85489  99.89494  99.80982  99.73966 100.08496  99.47864  99.70958 #>  [79878]  99.79479 100.42410 100.24969 100.30454  99.73966 100.06998 100.25966 #>  [79885] 100.21477 100.58330 100.24969 100.14989 100.01500  99.62931  99.81984 #>  [79892] 100.43904 100.05498 100.47388 100.04499  99.48869  99.79479  99.46356 #>  [79899] 100.42410  99.95999  99.76973 100.21976  99.87492  99.63935  99.66945 #>  [79906] 100.03499  99.69453  99.52387  99.87492  99.54898 100.45397  99.92497 #>  [79913]  99.60422  99.53894 100.17485  99.39819  99.62429  99.69955  99.63935 #>  [79920] 100.08996 100.39920 100.38426 100.08496 100.25966  99.44848 100.24969 #>  [79927] 100.12492  99.98000 100.68764 100.30952 100.07497 100.18483  99.79479 #>  [79934] 100.13990 100.07497  99.81984 100.07997 100.42908 100.04499 100.30454 #>  [79941]  99.56405  99.40322  99.99000 100.01500 100.35935 100.06998  99.69453 #>  [79948]  99.96499  99.95999  99.36297 100.22475 100.49378 100.24470 100.39422 #>  [79955]  99.74969  99.49372 100.54850 100.06998  99.97500 100.16486 100.01500 #>  [79962]  99.77976 100.12992  99.45351  99.84989 100.10494 100.14989 100.57336 #>  [79969] 100.32447  99.78477  99.45853  99.72963 100.24470 100.22475 100.34939 #>  [79976]  99.92998 100.60318 100.26964  99.89995  99.64939  99.68450  99.74969 #>  [79983] 100.42908 100.02500  99.97000  99.75470  99.47864 100.22974 100.37430 #>  [79990] 100.31451 100.13491 100.33942 100.07497  99.50879 100.74225  99.85489 #>  [79997]  99.99500 100.03999  99.91496 100.21477 100.12492 100.17485  99.89995 #>  [80004] 100.05998  99.93498 100.14989  99.55903 100.28958 100.17984 100.25966 #>  [80011]  99.83987 100.04999  99.88493 100.42410 100.25966  99.98500  99.82986 #>  [80018] 100.08496  99.88493 100.05998  99.75470 100.26465 100.44899  99.64939 #>  [80025]  99.79980  99.91997 100.09995  99.76472 100.02000  99.93998  99.71961 #>  [80032]  99.70958  99.85489  99.86491 100.49378 100.51368 100.22475  99.44345 #>  [80039]  99.92998 100.10494  99.58916 100.27961  99.74467  99.88493 100.15488 #>  [80046]  99.70456  99.92497  99.88994 100.29955 100.20479 100.16486  99.91496 #>  [80053]  99.43339  99.28243 100.22475 100.16486 100.23971  99.54898  99.61928 #>  [80060] 100.06498 100.09995 100.22974  99.76472  99.86992 100.03999  99.22701 #>  [80067]  99.89995 100.44899 100.11993 100.00000  99.81984 100.13491  99.68450 #>  [80074] 100.03999 100.20978 100.19481 100.24470  99.68952 100.29457  99.87492 #>  [80081]  99.40322 100.24969  99.83987  99.93998  99.89494  99.97000 100.08996 #>  [80088]  99.67949  99.78477 100.00500  99.90996  99.91997 100.04499 100.44401 #>  [80095] 100.10994 100.01000 100.16486  99.59418 100.37928  99.93498 100.09995 #>  [80102] 100.24969 100.16986  99.66945 100.43406 100.39920  99.85489 100.49378 #>  [80109]  99.89494  99.95999 100.24470  99.99500 100.41414  99.99500 100.01000 #>  [80116] 100.18483 100.05998 100.02000 100.48383  99.87492  99.50377 100.20978 #>  [80123]  99.75470  99.75470  99.90996 100.23472  99.85990 100.04999 100.10994 #>  [80130]  99.93498 100.13491 100.17485 100.11493  99.92497  99.88994  99.87492 #>  [80137]  99.68952 100.29955  99.54898 100.00500  99.59920  99.88994 100.37430 #>  [80144] 100.16486 100.36434  99.79479 100.24470  99.77475  99.83987  99.70958 #>  [80151]  99.72963  99.57911 100.13990 100.21477 100.33444 100.35935  99.80982 #>  [80158]  99.89494 100.05498 100.21477  99.74969 100.15488  99.44848 100.18483 #>  [80165]  99.89494  99.92998  99.76472  99.61426 100.05998  99.96499 100.10994 #>  [80172] 100.44899 100.00000 100.07497 100.13990 100.13990  99.64939 100.14490 #>  [80179]  99.68450  99.83987  99.92998  99.90495  99.85990 100.15987 100.08996 #>  [80186]  99.26732 100.56341  99.92998 100.07997 100.11993  99.68952  99.75971 #>  [80193] 100.17984 100.02500  99.92998  99.54898  99.86491  99.54898  99.75470 #>  [80200]  99.76472  99.88493 100.25468 100.00000  99.78978  99.83987 100.11993 #>  [80207] 100.08496 100.58330 100.01000 100.24969 100.32946  99.87993 100.13491 #>  [80214] 100.33444  99.95999 100.03000  99.85489 100.17485 100.33942 100.35437 #>  [80221] 100.06998 100.22475  99.96499  99.59920 100.05498 100.17984 100.65784 #>  [80228] 100.03000 100.16486  99.51884 100.23472 100.42908  99.80481  99.85489 #>  [80235]  99.76973 100.20479 100.24470  99.80982 100.27462 100.07997  99.83987 #>  [80242] 100.00500  99.63433 100.37430 100.10994  99.42837  99.98500 100.21477 #>  [80249] 100.11993  99.62931 100.51368 100.12992  99.81984 100.37430 100.04499 #>  [80256] 100.19980 100.10494 100.04499  99.84488  99.83486  99.93998 100.34441 #>  [80263] 100.21477 100.17485 100.37928  99.78477 100.35437  99.56907 100.10994 #>  [80270] 100.02500  99.99500 100.09995 100.23472 100.25966 100.12992 100.32946 #>  [80277]  99.72963  99.81483  99.80481 100.11993 100.02500 100.50871 100.22475 #>  [80284] 100.50871 100.07497  99.59418 100.06498 100.11993 100.32946 100.24969 #>  [80291]  99.74969  99.64939 100.14490  99.84989 100.12492  99.93498  99.98000 #>  [80298] 100.00000 100.24969 100.27462 100.27961 100.02000  99.86491  99.85990 #>  [80305] 100.06998  99.76973 100.06998 100.48383  99.86491 100.48383  99.68450 #>  [80312]  99.74467  99.83987  99.87993  99.98000  99.56907  99.91496  99.76973 #>  [80319] 100.50871 100.33444  99.83486 100.67770  99.61928  99.93998  99.66444 #>  [80326] 100.08996 100.33942  99.48869  99.54396 100.09495 100.14989 100.37430 #>  [80333] 100.14989  99.92998  99.79479 100.22475 100.26964  99.80982 100.50871 #>  [80340]  99.94498 100.37430  99.72963  99.79980  99.74969  99.94498  99.78978 #>  [80347] 100.13491 100.37928 100.09495 100.31949  99.60924  99.53894 100.04499 #>  [80354] 100.23971  99.93998 100.17485 100.47388  99.46859  99.64939  99.74467 #>  [80361] 100.33942 100.28958  99.95499  99.90996 100.00000  99.69955 100.41414 #>  [80368]  99.97000 100.08496  99.52387  99.94498  99.93998 100.16486 100.58330 #>  [80375] 100.01000  99.99000 100.48383  99.80481  99.91496 100.18483 100.02500 #>  [80382] 100.04499 100.13491 100.27961 100.04999 100.27961  99.73465  99.63935 #>  [80389]  99.92998 100.21477  99.97000 100.20479  99.95499  99.85489  99.93498 #>  [80396]  99.61426  99.84488  99.44345 100.20978 100.14989 100.02000  99.82485 #>  [80403]  99.92998 100.12992 100.26964 100.45895  99.94999  99.61928  99.78978 #>  [80410]  99.11609 100.33444  99.93998 100.24470  99.90495  99.98500 100.30454 #>  [80417] 100.37430 100.17984 100.31949  99.73966 100.20978  99.73465  99.66945 #>  [80424] 100.13491  99.97000  99.40322 100.06498  99.80982 100.51368  99.92998 #>  [80431] 100.49876 100.31949 100.12992 100.33444 100.09495 100.21477 100.00000 #>  [80438]  99.66444  99.83987  99.88493 100.26465 100.26465  99.76973  99.99000 #>  [80445] 100.19481 100.18483  99.91997  99.48869  99.55903  99.56907  99.82986 #>  [80452]  99.84989  99.60924  99.72462 100.17984  99.86992  99.97000  99.50879 #>  [80459]  99.80481 100.32946  99.87492 100.20978  99.75470 100.24969  99.52387 #>  [80466] 100.06998  99.71459  99.86992 100.17984 100.38924  99.30257  99.99500 #>  [80473] 100.03999  99.89494  99.86992 100.03999 100.06498 100.29955  99.87993 #>  [80480] 100.15987 100.65287  99.68450 100.58330 100.05498 100.08996  99.83987 #>  [80487] 100.30454 100.33444  99.74467 100.32946  99.49372 100.36434 100.13491 #>  [80494]  99.63433 100.10494  99.72462 100.45397  99.99000 100.75217  99.74969 #>  [80501]  99.92497 100.39422  99.90495  99.91496  99.91997 100.10994  99.45351 #>  [80508]  99.68450  99.38310 100.26465  99.84989 100.22974 100.25966  99.89995 #>  [80515] 100.31949 100.10994 100.11993 100.07997 100.06498  99.82986  99.21693 #>  [80522] 100.00500 100.32447 100.18982  99.53391 100.18483 100.54352 100.30454 #>  [80529]  99.78978 100.06998 100.31949 100.37928 100.59324 100.44401 100.48881 #>  [80536] 100.09995 100.04999 100.03000 100.30952 100.08996  99.54898  99.64437 #>  [80543]  99.68450 100.35935  99.75971 100.14989 100.40418 100.08496  99.65942 #>  [80550]  99.87993 100.09995  99.77475  99.65440  99.86491  99.91997 100.25468 #>  [80557]  99.81984 100.42410  99.87993  99.89494  99.44848 100.69757 100.31949 #>  [80564]  99.35291 100.14989  99.62429  99.51382  99.21693 100.23971 100.41414 #>  [80571] 100.22974 100.20479 100.08496 100.07497 100.48881  99.67949 100.13491 #>  [80578] 100.05498  99.67447  99.84989 100.00500 100.38924 100.60318  99.72462 #>  [80585]  99.68450 100.48383 100.41912  99.99500 100.15987  99.57409  99.73465 #>  [80592]  99.87993  99.77976  99.98000 100.30454  99.55903  99.11609 100.16486 #>  [80599]  99.46859 100.26465  99.75971 100.42908  99.91496  99.81984  99.93498 #>  [80606] 100.18483 100.26465 100.09995 100.24969  99.78477 100.31949 100.11493 #>  [80613]  99.92497 100.15488 100.15488 100.14490 100.09995  99.85990 100.43406 #>  [80620] 100.17984  99.70456 100.00500  99.68450 100.07497 100.37928  99.49372 #>  [80627] 100.32447  99.77976 100.19481 100.56838  99.45853  99.75470  99.87993 #>  [80634]  99.42334  99.83987 100.22475  99.84488  99.90996 100.11993 100.16986 #>  [80641] 100.01000 100.08496  99.60422 100.05998 100.31451  99.69453  99.82986 #>  [80648]  99.79980 100.45895 100.05498  99.53894  99.78978 100.20479  99.78477 #>  [80655]  99.78477  99.86491 100.34441 100.03000 100.29457 100.20978  99.91496 #>  [80662] 100.02500 100.19980 100.26465 100.21976  99.74467  99.80982 100.14490 #>  [80669] 100.29955  99.59418  99.64939  99.83987 100.36932  99.74467 100.34441 #>  [80676] 100.09995  99.83987  99.91496 100.41912  99.39819 100.27462 100.21477 #>  [80683]  99.80982 100.03000  99.95499  99.00000 100.57833 100.03499  99.94999 #>  [80690] 100.02000 100.29955 100.37928  99.92998  99.88994  99.98000  99.54396 #>  [80697]  99.77475  99.45853 100.01000  99.92998 100.84642 100.06998 100.02000 #>  [80704] 100.18483  99.90495 100.09995  99.89995  99.91997 100.31451  99.88493 #>  [80711]  99.87492  99.88994  99.59920  99.99000 100.03499 100.16986 100.84146 #>  [80718]  99.72462 100.52363  99.88493  99.94498  99.72963 100.06498  99.95499 #>  [80725] 100.32946 100.73232 100.53855 100.01000  99.60924  99.92998 100.18483 #>  [80732]  99.88493  99.87492 100.17984 100.31949 100.52363 100.30952  99.68952 #>  [80739]  99.66444 100.18483  99.92998 100.16986  99.91997  99.64437  99.46356 #>  [80746] 100.05998  99.98000  99.72462  99.65440 100.17984  99.59920 100.65287 #>  [80753]  99.96499 100.44899 100.05498  99.96499  99.88994 100.07497 100.29955 #>  [80760]  99.95999 100.05998 100.04999  99.67949  99.90996  99.63935  99.53894 #>  [80767]  99.51884  99.82986  99.88994 100.11493 100.20479  99.80982  99.98500 #>  [80774] 100.30952 100.07497 100.20978  99.50879 100.35935  99.99500  99.84989 #>  [80781] 100.00000 100.68267 100.05498 100.11993  99.74969  99.51382 100.23971 #>  [80788] 100.37928 100.08996 100.12992 100.14989  99.61928 100.13491 100.32447 #>  [80795] 100.21976  99.95999 100.23971  99.58414 100.03499 100.21976 100.31949 #>  [80802]  99.94498  99.65942  99.77976 100.36932 100.01500  99.55903 100.16986 #>  [80809]  99.82986 100.10494 100.17485  99.85990 100.13491  99.79479 100.10494 #>  [80816]  99.50879 100.20978  99.75971  99.84989  99.97500 100.32447  99.73465 #>  [80823] 100.09495 100.15488 100.72735  99.84989  99.83486  99.87993  99.88493 #>  [80830] 100.38924 100.26964 100.33942 100.21976 100.34441  99.71961  99.53894 #>  [80837] 100.10494  99.78477  99.57409 100.27961  99.75971  99.99000  99.53391 #>  [80844] 100.24969  99.93998 100.21976 100.31949  99.90996  99.66444  99.83486 #>  [80851] 100.60815 100.43904 100.18982 100.21477  99.68450  99.86992  99.73966 #>  [80858]  99.82485 100.40916  99.42334  99.62429  99.79479  99.75470  99.90495 #>  [80865] 100.17485 100.15987 100.04999 100.03999 100.07497 100.35935  99.61426 #>  [80872]  99.59418  99.72462  99.76472 100.00500  99.69955  99.93498  99.90495 #>  [80879] 100.33444 100.22974  99.79479 100.45895  99.91496  99.42334  99.47361 #>  [80886] 100.14490  99.74969 100.30454  99.58414 100.67770 100.12492  99.93998 #>  [80893]  99.75470 100.36932  99.63935 100.33942 100.14989 100.61809  99.83987 #>  [80900]  99.55903 100.16986  99.71459 100.40418  99.91496 100.36434  99.89995 #>  [80907] 100.06498 100.34441 100.35437 100.09995  99.75971  99.80481  99.85489 #>  [80914] 100.45895 100.37928  99.84488  99.74467 100.43406 100.16486 100.17984 #>  [80921] 100.40916 100.31949 100.15987  99.84488 100.21976 100.28958  99.59920 #>  [80928]  99.86491  99.77475  99.93498  99.81483 100.08996  99.94498  99.60924 #>  [80935] 100.28958 100.45397  99.82986 100.07997 100.27462 100.52860  99.44848 #>  [80942] 100.36434 100.35935  99.75971  99.84488  99.52889 100.25468 100.06498 #>  [80949] 100.05998 100.21976 100.26964  99.99500  99.74467  99.71961  99.78978 #>  [80956]  99.95499 100.01500  99.84488  99.57911  99.72462  99.92998 100.24470 #>  [80963] 100.04999 100.03000  99.99500  99.89494  99.73966  99.75470  99.65942 #>  [80970] 100.62803  99.63433 100.36932  99.88493  99.69955 100.17984  99.89995 #>  [80977] 100.06498  99.84488 100.51368 100.45397 100.03999 100.56341  99.84488 #>  [80984] 100.08496 100.41414  99.70958 100.12992  99.78978  99.87492 100.14490 #>  [80991] 100.16986 100.26465 100.06498  99.96499 100.28460 100.44401  99.81984 #>  [80998] 100.25468  99.74969 100.08496 100.14989  99.74467  99.88994  99.72963 #>  [81005]  99.56405  99.88493  99.98500  99.66945 100.17984  99.91496 100.09995 #>  [81012]  99.64437 100.20479  99.80481  99.66945  99.88493 100.14989 100.03499 #>  [81019] 100.19481  99.51382 100.31949 100.03499  99.85489  99.61928 100.06498 #>  [81026]  99.80982 100.08496 100.15987  99.99000 100.06998  99.76472  99.79980 #>  [81033] 100.30454  99.93498  99.49372  99.87993  99.79980 100.42908 100.03000 #>  [81040] 100.32447  99.77475 100.36932 100.33942 100.33942 100.08496 100.27961 #>  [81047] 100.11993 100.20479  99.91496  99.92998  99.99500 100.42410 100.05498 #>  [81054] 100.35935  99.97000  99.73966 100.28460  99.99000 100.34939  99.65440 #>  [81061] 100.18982 100.03999  99.48869  99.86992  99.88994 100.23472  99.81483 #>  [81068] 100.35437  99.93998  99.77976  99.94999  99.84488  99.74969 100.38924 #>  [81075] 100.05998  99.93498 100.19980  99.85489 100.31949 100.05998  99.65942 #>  [81082] 100.03999  99.95999 100.06498  99.97000 100.47388 100.05998 100.07997 #>  [81089]  99.93998  99.70456 100.40418 100.21976 100.18982 100.47885  99.85990 #>  [81096] 100.05998  99.97500 100.13990  99.79479  99.85990  99.52889  99.78978 #>  [81103]  99.62931  99.83486 100.01000  99.98000  99.54396 100.27961 100.23472 #>  [81110]  99.81483 100.50373 100.42410 100.54850  99.92998 100.06998 100.05998 #>  [81117]  99.80481  99.69453 100.42908  99.90996  99.53391 100.07997 100.13491 #>  [81124]  99.69955 100.03000  99.84989  99.87993  99.90996  99.84488  99.80481 #>  [81131]  99.52889 100.21976  99.62931 100.18483 100.00500 100.25966  99.80982 #>  [81138] 100.11493  99.44345  99.73966  99.69955  99.51884  99.86491  99.89995 #>  [81145] 100.47885  99.90495  99.99000  99.92497  99.83987  99.82986  99.91496 #>  [81152]  99.85489  99.87492  99.72462  99.34284 100.18483 100.00000 100.05998 #>  [81159]  99.73465  99.42837 100.16486  99.56405  99.73465  99.70958 100.28958 #>  [81166] 100.12492 100.22475 100.12492  99.64437  99.77475 100.36932  99.73966 #>  [81173] 100.17485  99.96499  99.84989 100.16986 100.33444  99.61426 100.24969 #>  [81180]  99.91997 100.52363 100.03000 100.03000 100.01000 100.48383 100.19481 #>  [81187]  99.78978  99.74467  99.72462  99.92998  99.76973 100.01000  99.78477 #>  [81194]  99.47361 100.23971  99.62931 100.24969 100.11993 100.00000  99.73966 #>  [81201]  99.84989  99.62429  99.82986 100.27462  99.79980 100.08496  99.52889 #>  [81208]  99.93498 100.03000 100.32447  99.62429 100.01000 100.09995 100.19481 #>  [81215]  99.91997  99.71459 100.04999 100.05998  99.81483  99.44345  99.69955 #>  [81222] 100.16486 100.07997 100.12492 100.22974 100.22475  99.99500 100.21477 #>  [81229]  99.82986 100.29955 100.04499  99.80982 100.70750  99.97500 100.03499 #>  [81236]  99.93498 100.09495  99.89494 100.30952 100.58827  99.70958  99.66444 #>  [81243]  99.90495 100.14490  99.81984 100.37430 100.63797 100.12992  99.91997 #>  [81250] 100.37430  99.68450  99.47361  99.50377  99.94999  99.71961  99.93998 #>  [81257]  99.63935  99.98500 100.30952  99.91496 100.02000 100.38924 100.25966 #>  [81264] 100.11493  99.97000  99.67949  99.69453 100.20479 100.54352 100.06998 #>  [81271]  99.86992 100.09995  99.91997 100.20978 100.01000  99.70456 100.27462 #>  [81278]  99.87993  99.38310 100.01000  99.39316  99.52387  99.85990 100.16486 #>  [81285] 100.05998 100.03499 100.29457 100.26964  99.93998 100.17984  99.91997 #>  [81292] 100.30454 100.03000 100.39920 100.01000  99.79980  99.95499  99.56405 #>  [81299]  99.64939 100.12492  99.75971 100.12992  99.90495  99.97000 100.48383 #>  [81306]  99.94999 100.01500 100.17485  99.88994  99.42837 100.52363  99.93998 #>  [81313] 100.15488  99.65942 100.13990 100.05498  99.89494  99.83486  99.92497 #>  [81320] 100.03499 100.03999 100.20479  99.71459  99.85990  99.77976 100.11493 #>  [81327]  99.83987 100.46890  99.60924  99.48367 100.03000 100.19980 100.23971 #>  [81334]  99.13123  99.85489 100.39920  99.37807  99.92497 100.53358  99.44345 #>  [81341]  99.73465  99.88493 100.27961  99.84989  99.70958 100.21976  99.87993 #>  [81348]  99.64939  99.93498  99.81483  99.99000 100.32447 100.60318  99.89494 #>  [81355] 100.21477 100.09495 100.26964 100.08996  99.90495 100.25468 100.14989 #>  [81362] 100.14989  99.85990 100.33942 100.11993  99.92497 100.38924  99.95499 #>  [81369] 100.02000  99.95499 100.14490 100.26964 100.03000 100.12992 100.71743 #>  [81376] 100.03499  99.71459  99.90495  99.67447  99.70958  99.90495  99.89995 #>  [81383]  99.85489 100.22974  99.97000  99.86992  99.85990 100.26465  99.84488 #>  [81390]  99.92998 100.39422 100.12492 100.17984  99.54898 100.17984 100.37430 #>  [81397] 100.31451 100.31949  99.96499 100.01500  99.59920  99.97500 100.03999 #>  [81404] 100.24969 100.16986  99.72462 100.04499  99.61928 100.63797  99.44345 #>  [81411] 100.43904 100.09995  99.89995  99.64437 100.19980 100.05498 100.70253 #>  [81418] 100.38924 100.37928 100.38924  99.77475 100.60318  99.61426  99.80481 #>  [81425] 100.30454 100.11993 100.56838  99.88493 100.08996  99.40825  99.80982 #>  [81432]  99.87993 100.12492 100.23472  99.88493 100.25966 100.04999  99.84488 #>  [81439] 100.77698  99.92998  99.94498 100.32946 100.28958 100.28460 100.34441 #>  [81446] 100.00000 100.51368  99.85489  99.32271  99.92998  99.85489  99.73966 #>  [81453] 100.20479 100.15987  99.61426  99.97500  99.90996  99.95999  99.71961 #>  [81460] 100.36434 100.11493  99.60924 100.08996  99.47864  99.90495 100.29955 #>  [81467]  99.81984  99.54396  99.98500  99.68952 100.22475 100.25468  99.85489 #>  [81474]  99.97000 100.11493  99.95999 100.11493 100.00500  99.93998 100.06998 #>  [81481] 100.15987  99.57911  99.90495 100.02500  99.34284  99.88493  99.77475 #>  [81488] 100.60318 100.45895 100.46392  99.99000  99.60422 100.16486  99.70456 #>  [81495] 100.34441 100.46890 100.61312 100.12992  99.78978  99.75470 100.26465 #>  [81502] 100.05498  99.78978  99.99500 100.29457  99.69955 100.01000 100.21477 #>  [81509]  99.55401 100.45397 100.28460  99.86491  99.99500 100.25966 100.03000 #>  [81516]  99.99500  99.86992 100.08996  99.60422  99.94498 100.19980 100.05498 #>  [81523] 100.19481 100.11993  99.93498 100.00500 100.08996 100.41912 100.09495 #>  [81530] 100.40418  99.97500  99.97500  99.97000  99.86992 100.47388 100.72239 #>  [81537] 100.08996 100.15987 100.56341 100.66280 100.03999  99.87492  99.57409 #>  [81544]  99.81984  99.87993  99.72462  99.98000 100.27462 100.14490 100.19481 #>  [81551] 100.30454  99.63433 100.10494 100.19481 100.22974  99.84488 100.44899 #>  [81558]  99.97000  99.87492  99.66444 100.28460 100.24969 100.09995 100.07997 #>  [81565]  99.87993  99.76973 100.46890  99.29250  99.68952 100.08496 100.01500 #>  [81572]  99.57911  99.38310  99.77475  99.51884  99.87492  99.56907 100.40418 #>  [81579] 100.61312 100.31451  99.90996  99.65440  99.81984 100.18483 100.07497 #>  [81586] 100.74225 100.02500  99.71961 100.10494 100.02000  99.66945 100.42410 #>  [81593] 100.44401 100.10994  99.81483 100.39422 100.00500 100.13990  99.94999 #>  [81600]  99.82986  99.70456  99.88493 100.12492 100.32946 100.03499  99.80481 #>  [81607]  99.70958 100.52860 100.08996  99.53894 100.06998 100.31451 100.23472 #>  [81614]  99.86491 100.37928  99.85489 100.33942 100.12492 100.64790  99.58414 #>  [81621]  99.76973  99.81483 100.34441  99.85489  99.75971 100.23971 100.33444 #>  [81628] 100.01000 100.23971 100.06998 100.44401 100.34441 100.26964 100.20479 #>  [81635]  99.72462  99.62429 100.06498 100.45397  99.97500  99.99500  99.93498 #>  [81642] 100.24969 100.36434 100.04499 100.26964 100.16986  99.59920 100.26465 #>  [81649]  99.50377  99.85489  99.82485 100.23971 100.31451  99.95499  99.87993 #>  [81656] 100.37430 100.08496 100.36434 100.27961  99.87492  99.88994 100.01500 #>  [81663] 100.25468  99.63433 100.12492  99.77475  99.67447  99.92497 100.22974 #>  [81670]  99.78477 100.40916  99.71459  99.31767  99.85489 100.66280 100.42908 #>  [81677] 100.03000  99.78477  99.88493  99.80481 100.13990  99.86491 100.03499 #>  [81684]  99.95999 100.05998 100.27961  99.76472  99.46356  99.68450 100.74225 #>  [81691]  99.91496 100.01000  99.66444 100.67770 100.30454  99.67447 100.13491 #>  [81698]  99.89494 100.26964 100.21976 100.30952 100.01500 100.01500  99.74467 #>  [81705]  99.85990  99.99500 100.27462 100.08996 100.09995  99.94999  99.99000 #>  [81712]  99.74467 100.23472  99.84488 100.07997 100.08996  99.89494 100.44899 #>  [81719]  99.59920  99.55903  99.78477  99.79980  99.78978 100.30454 100.17485 #>  [81726] 100.21477 100.07497  99.48367 100.11993  99.70456  99.90996  99.91496 #>  [81733]  99.65440  99.84488 100.24969  99.70958  99.71961 100.07997  99.36800 #>  [81740]  99.70456 100.16486  99.74467  99.98000 100.59821  99.71961 100.57833 #>  [81747] 100.20978  99.96499 100.44899 100.48383 100.07497 100.31949 100.22475 #>  [81754] 100.12992 100.41414  99.94498  99.40322 100.19481  99.76472  99.97500 #>  [81761]  99.93998  99.93998 100.46890 100.01000  99.86491  99.57911 100.23472 #>  [81768]  99.83987 100.09995 100.03000 100.47885 100.27462  99.42837  99.87993 #>  [81775] 100.41414  99.61426 100.12492  99.83486  99.92497  99.83987  99.85990 #>  [81782] 100.44899 100.19980 100.18982  99.86992 100.46392 100.21477  99.91496 #>  [81789] 100.21477  99.80982 100.05998  99.90996 100.19481 100.26465 100.10994 #>  [81796]  99.93998  99.71459  99.68952  99.93998 100.33444  99.66444  99.84488 #>  [81803] 100.14989  99.78978 100.14490 100.25966  99.72462  99.65440 100.26465 #>  [81810]  99.67447  99.87492 100.36932 100.16986  99.92497  99.41831  99.41328 #>  [81817]  99.86992  99.71459 100.19481  99.99500  99.84488  99.68450 100.02500 #>  [81824] 100.67274  99.76973  99.98500 100.18982  99.85489  99.72963  99.90996 #>  [81831] 100.80179 100.01000 100.23971 100.06498 100.66777  99.90996 100.20479 #>  [81838] 100.17485  99.78978 100.61312  99.72462 100.36434 100.38426  99.94999 #>  [81845] 100.02500 100.43904 100.22974 100.27961 100.21477 100.01500  99.77475 #>  [81852]  99.82986 100.00000 100.25468 100.16486  99.74969  99.97500 100.60815 #>  [81859] 100.11493 100.18982  99.95999 100.04499  99.61426 100.18483  99.62429 #>  [81866]  99.98500  99.92497  99.96499  99.90996  99.98500 100.01000 100.03000 #>  [81873]  99.68952 100.19481  99.46859  99.90495 100.31949  99.81984  99.89995 #>  [81880] 100.30454 100.13990  99.91997  99.99000  99.78477 100.08996  99.93998 #>  [81887]  99.67447 100.37430  99.66444 100.13990  99.96499  99.62931  99.30760 #>  [81894]  99.83486 100.45397  99.76472 100.12492  99.74467  99.61426 100.00000 #>  [81901] 100.00000  99.53894 100.00500 100.23971  99.58916  99.78477 100.07997 #>  [81908]  99.43842 100.34939  99.83486  99.83486  99.48367 100.32946 100.42908 #>  [81915] 100.21976 100.69260 100.29457  99.69955 100.01000 100.30454 100.35935 #>  [81922]  99.80481 100.05998 100.05998  99.96499  99.91997 100.19481  99.89995 #>  [81929]  99.29753  99.86491  99.99500  99.82485 100.18483 100.32946 100.00500 #>  [81936] 100.64293  99.52387 100.80179 100.21477 100.50871  99.88994  99.92998 #>  [81943]  99.72963 100.18982  99.66945  99.88994 100.13491 100.03999 100.46890 #>  [81950] 100.36932  99.86491  99.79479 100.37928  99.84488  99.93498  99.68952 #>  [81957]  99.84488 100.26964 100.54850  99.65942  99.98000  99.57911  99.58916 #>  [81964]  99.68952  99.83987 100.47388  99.30257 100.09995  99.98000  99.42837 #>  [81971]  99.85489  99.95999 100.01000 100.31949 100.08496 100.21477 100.32447 #>  [81978]  99.69955 100.13990  99.79980 100.09995  99.94999  99.72963 100.32447 #>  [81985] 100.17485  99.83987  99.48869  99.82485  99.84488 100.42908 100.47388 #>  [81992] 100.02000  99.66945 100.21976 100.44899  99.91997 100.60815 100.19980 #>  [81999] 100.25468  99.96499  99.78477  99.62429 100.03000  99.30760 100.03999 #>  [82006]  99.87492 100.26465 100.26964  99.65942 100.05498  99.64437 100.40418 #>  [82013]  99.82986 100.20978  99.78978  99.65440 100.52363 100.06998  99.56907 #>  [82020] 100.31949  99.54898 100.04499  99.83486 100.43406  99.71961  99.71459 #>  [82027]  99.78477 100.34441  99.93498 100.12992 100.11493  99.87993  99.91496 #>  [82034] 100.38426  99.78978 100.07497 100.43904  99.89995 100.29955  99.53391 #>  [82041] 100.04499  99.43339 100.21477 100.20978  99.50377  99.88493 100.09995 #>  [82048]  99.77976 100.01500  99.96499 100.09495  99.83987  99.68450  99.90996 #>  [82055] 100.13491  99.88994  99.94498  99.87492 100.17485  99.86491 100.06998 #>  [82062]  99.90996  99.77976 100.02500  99.87492 100.50373 100.00000 100.11493 #>  [82069]  99.38310 100.10994  99.63935 100.45397 100.25966 100.38426  99.73966 #>  [82076] 100.26964  99.70456  99.50879  99.79479  99.77976  99.99000  99.72963 #>  [82083]  99.37303  99.67949 100.07997 100.39920 100.03499 100.70253 100.45895 #>  [82090]  99.43339 100.25966  99.93998  99.76472  99.80481  99.74969 100.11493 #>  [82097] 100.16486 100.20978  99.97000 100.12992 100.24969  99.96499 100.23971 #>  [82104]  99.74969 100.45895 100.16986 100.16486  99.93498  99.77976 100.25468 #>  [82111] 100.06498  99.70958 100.06998 100.00000  99.64939  99.94498 100.51368 #>  [82118]  99.60422 100.31949 100.18982 100.20479  99.49874 100.52860 100.07497 #>  [82125] 100.11493  99.70958  99.82986  99.97000 100.06498 100.38426 100.03499 #>  [82132] 100.23472  99.84989 100.18483  99.90495  99.95499 100.25468 100.30952 #>  [82139]  99.91997  99.65942  99.74467 100.37430 100.17984 100.32946  99.73465 #>  [82146]  99.80481 100.28958 100.16486 100.03000 100.00000  99.58414 100.17984 #>  [82153] 100.30952 100.34441 100.34939  99.84989  99.73966  99.62429  99.68952 #>  [82160] 100.37928 100.04999 100.04999 100.28958 100.41414  99.23709  99.65942 #>  [82167]  99.86992 100.18982  99.66444 100.13491 100.21477  99.90996  99.82986 #>  [82174]  99.74467  99.54396  99.97000  99.79479  99.97000  99.86992  99.59920 #>  [82181] 100.17984 100.17984 100.25468 100.16986  99.77976  99.81483 100.03000 #>  [82188]  99.74467 100.29955 100.26964 100.10994 100.01000  99.89995 100.29457 #>  [82195] 100.18483  99.71961  99.46859  99.46859 100.08996 100.06998  99.80982 #>  [82202] 100.09495 100.45895 100.40916  99.74467 100.14989 100.18483  99.54396 #>  [82209]  99.65440  99.84488 100.07497  99.85489 100.19980 100.17485 100.18982 #>  [82216] 100.68764 100.36932 100.11493 100.37928  99.48869  99.72462 100.37928 #>  [82223] 100.12492  99.77976 100.15987  99.86992 100.04999 100.07497 100.41414 #>  [82230] 100.39422  99.38310  99.58414  99.87993  99.46356 100.17984  99.83987 #>  [82237] 100.37928 100.23971 100.50373 100.24470  99.70958 100.28958  99.51382 #>  [82244] 100.28958 100.35935 100.40916 100.25966 100.39422 100.04499 100.05998 #>  [82251]  99.68952  99.81483  99.88493 100.46392  99.90495  99.95999 100.09995 #>  [82258]  99.88493  99.93998 100.49378  99.72963 100.24969  99.94999 100.17984 #>  [82265]  99.80481  99.86992 100.04999  99.48367 100.25468 100.04499 100.21976 #>  [82272]  99.81483 100.08996  99.54898 100.28958 100.32946  99.83987 100.17984 #>  [82279] 100.18982  99.75971  99.98000  99.84989 100.16486 100.10994 100.42410 #>  [82286] 100.01000  99.87993  99.90495  99.89494 100.35437  99.68450  99.65440 #>  [82293] 100.16486 100.24969  99.99000  99.91997 100.34939 100.15488 100.32447 #>  [82300]  99.84488  99.66945 100.00000  99.62429 100.25468 100.14989  99.77976 #>  [82307] 100.30454 100.00000  99.77976  99.70456 100.08496 100.55347  99.86491 #>  [82314] 100.26964 100.00500 100.37928  99.83486  99.47361 100.33444 100.04999 #>  [82321] 100.69757 100.10994 100.22475 100.19481  99.59920 100.10494 100.27462 #>  [82328]  99.74467 100.29457  99.85489 100.15488  99.62429 100.11493 100.36932 #>  [82335]  99.52387 100.31949  99.78477 100.02500 100.03000 100.23971 100.17485 #>  [82342]  99.98500 100.01000 100.03000 100.13990 100.40916 100.29955 100.00000 #>  [82349] 100.04499  99.79980  99.86992  99.61928  99.87993  99.98500 100.07497 #>  [82356] 100.49876 100.00500 100.13491 100.35437  99.70456  99.79980  99.93998 #>  [82363] 100.09495 100.15987  99.82485 100.17485 100.30454  99.94999  99.46356 #>  [82370] 100.15488  99.82986  99.98000  99.81984  99.97000 100.21477  99.55401 #>  [82377]  99.70456 100.26964 100.34939  99.97500 100.45397 100.08996 100.04999 #>  [82384] 100.21976 100.49876 100.52363  99.89995 100.20479  99.89494  99.98500 #>  [82391] 100.28958  99.95999 100.52860 100.45895  99.92497  99.94498 100.07497 #>  [82398] 100.13491  99.94999 100.21976  99.99500 100.06998 100.39920  99.97000 #>  [82405] 100.03999 100.03499 100.18982 100.29457  99.95999  99.84989 100.09495 #>  [82412] 100.20479 100.04999 100.03499  99.89494 100.03999 100.34441 100.00000 #>  [82419] 100.03999 100.07997  99.98500  99.55401  99.89494 100.11993 100.09995 #>  [82426]  99.94999 100.46890  99.59418  99.75470 100.09995  99.93998 100.08996 #>  [82433]  99.52387  99.95499  99.83987 100.63797  99.86491  99.84488 100.35437 #>  [82440] 100.17984  99.69955 100.07997 100.17984  99.07573 100.63300  99.94498 #>  [82447]  99.86992  99.70456  99.94999  99.46356 100.54850 100.39920 100.02000 #>  [82454] 100.15987 100.09995 100.30454 100.14989 100.03000 100.07997 100.21976 #>  [82461]  99.98000 100.24969  99.97500  99.67447  99.83486  99.10600 100.12492 #>  [82468]  99.74467 100.45895  99.81483  99.75470  99.74467 100.19481  99.41831 #>  [82475]  99.81483 100.01000 100.01500 100.15987 100.40418  99.52387 100.08996 #>  [82482]  99.66945 100.64293  99.28243 100.26964  99.98500 100.30454 100.10494 #>  [82489] 100.04499  99.66444 100.20978  99.60924 100.40418  99.82986  99.75971 #>  [82496] 100.12492  99.77475 100.01500 100.08496 100.11493 100.05498 100.37928 #>  [82503] 100.23472 100.32447  99.69453  99.27235  99.72462  99.87993 100.40418 #>  [82510]  99.94498 100.38426 100.38426 100.01000  99.83987  99.48367 100.20479 #>  [82517]  99.84989  99.70958  99.80481 100.27462  99.55401 100.33942  99.78477 #>  [82524] 100.00500 100.13990  99.85990 100.29955 100.28460 100.00000  99.72963 #>  [82531] 100.28958 100.27961  99.88493  99.68952 100.07997 100.44899  99.93998 #>  [82538] 100.27961  99.63433  99.84488 100.30952  99.89995  99.62429  99.67949 #>  [82545] 100.07997 100.42908 100.23472 100.23472  99.86491 100.31949  99.92998 #>  [82552]  99.92998  99.80481  99.82485 100.38924 100.33942 100.21976 100.10494 #>  [82559] 100.23472 100.40916 100.16486 100.33444  99.82986  99.76973  99.95499 #>  [82566]  99.84488 100.33942 100.52363 100.01500 100.05498  99.92998 100.10994 #>  [82573] 100.34441  99.98000 100.04999  99.67447 100.46890  99.92998  99.87993 #>  [82580]  99.89995 100.25966 100.10994  99.89995 100.69260 100.05498  99.80481 #>  [82587] 100.17984 100.01000 100.41912  99.90996  99.69955 100.72735 100.10494 #>  [82594] 100.11993  99.92998 100.01500 100.24969  99.98500  99.68450 100.02500 #>  [82601] 100.27462  99.73966  99.50879  99.80982  99.77976  99.64437 100.41912 #>  [82608] 100.40418 100.28460  99.95999  99.88994 100.27462 100.10494 100.66777 #>  [82615] 100.49378  99.96499 100.16486  99.90495  99.91496 100.31949  99.92497 #>  [82622] 100.04499  99.79479  99.77475  99.97000 100.37928  99.94498  99.98000 #>  [82629] 100.09495  99.89995 100.33444  99.63935 100.07997 100.32946  99.97000 #>  [82636]  99.82986  99.99500 100.22475 100.51865  99.77475 100.08996  99.96499 #>  [82643] 100.05498  99.78477  99.51884 100.04999 100.19481 100.17984 100.22974 #>  [82650] 100.33942  99.63433  99.47361 100.37430 100.09495  99.55903  99.78477 #>  [82657]  99.89995 100.15987 100.22475 100.03000 100.15488  99.86491  99.82986 #>  [82664] 100.29457  99.84488 100.14490  99.38310  99.44848 100.15987 100.49378 #>  [82671]  99.94498  99.64939  99.68952  99.90495  99.44848  99.87993 100.10994 #>  [82678] 100.49378  99.77475 100.18982 100.04999  99.81483 100.17485  99.75470 #>  [82685]  99.75971 100.23971 100.05998 100.06498 100.03999 100.45895 100.10494 #>  [82692]  99.61426 100.10994 100.46392 100.00500  99.80982 100.53358  99.94498 #>  [82699] 100.24969 100.03999  99.77475 100.20479 100.37430  99.68952 100.04999 #>  [82706] 100.36932 100.35437  99.95499  99.60924  99.74969 100.11493  99.91496 #>  [82713]  99.81984  99.89995  99.81483 100.12492 100.11993  99.97500  99.56907 #>  [82720]  99.78978  99.93998 100.11493 100.21976 100.17485  99.78477  99.77475 #>  [82727]  99.75470 100.65784  99.97500  99.99500  99.94999 100.08996 100.08996 #>  [82734] 100.02000  99.63935  99.69955  99.92998  99.94999  99.97500  99.66945 #>  [82741]  99.78978 100.03499  99.96499 100.71246  99.75470 100.16486  99.53391 #>  [82748]  99.98000  99.77475  99.88493  99.91496 100.15488  99.49372 100.17485 #>  [82755]  99.40322  99.58916 100.43904 100.72735 100.20479 100.07997 100.03999 #>  [82762] 100.31451  99.59418 100.12992 100.28958  99.42837 100.17984  99.59418 #>  [82769] 100.02000 100.67274 100.28958  99.49372 100.21477 100.19481 100.23472 #>  [82776] 100.03000  99.81483  99.54898  99.74467  99.89494 100.27961 100.38924 #>  [82783]  99.87492 100.36434  99.28746  99.77976  99.47361 100.27961 100.06498 #>  [82790]  99.96499  99.69955 100.32447  99.89995 100.28460  99.88994  99.98000 #>  [82797]  99.44848 100.05498  99.59418  99.62429  99.73465 100.22475 100.38924 #>  [82804]  99.63433  99.33277  99.61426 100.45397  99.72462  99.42837  99.89995 #>  [82811]  99.97000  99.99000 100.25468 100.33444 100.07997  99.67949  99.30257 #>  [82818]  99.60924  99.81483  99.67949  99.98000  99.40825 100.30454  99.70958 #>  [82825]  99.74969  99.64437 100.10494 100.20479  99.85990 100.20479  99.49372 #>  [82832]  99.50377 100.09495  99.80481 100.07997 100.03499 100.18982  99.92998 #>  [82839] 100.44899  99.86992  99.53894 100.10994  99.71459 100.21477  99.97000 #>  [82846] 100.23971 100.28958  99.61426  99.90996  99.91496 100.11993 100.16986 #>  [82853] 100.15488  99.83486 100.50373  99.43842  99.87993  99.62931 100.43904 #>  [82860] 100.34939  99.84989  99.73966 100.23472  99.93498  99.99000 100.25468 #>  [82867]  99.54396 100.25966 100.06998 100.16486 100.34441 100.31451  99.71961 #>  [82874] 100.42410 100.33444  99.96499  99.58916  99.86491  99.90495  99.95499 #>  [82881]  99.80982  99.44345  99.37807 100.10994  99.75971  99.82986 100.26465 #>  [82888]  99.31264 100.17984 100.55844 100.26964 100.18483 100.37928  99.87492 #>  [82895]  99.94999  99.70456  99.53894 100.35935 100.03999 100.26465 100.16986 #>  [82902]  99.95999 100.27961  99.95999  99.55401  99.98500  99.90495  99.74969 #>  [82909]  99.87492  99.67447  99.93498 100.60318 100.03000  99.66444  99.99000 #>  [82916]  99.86992  99.42837  99.95499 100.28460  99.87993  99.87993  99.55401 #>  [82923] 100.05498 100.21477  99.83486  99.99000 100.04999 100.06498  99.45351 #>  [82930]  99.69955 100.28958 100.10494 100.08496  99.98500 100.04499 100.07497 #>  [82937]  99.79980 100.24470  99.84488  99.93998  99.75971 100.48881  99.65942 #>  [82944]  99.52889 100.34441  99.41328 100.62306 100.13491 100.12992  99.91997 #>  [82951]  99.40322 100.47388 100.58330  99.46356  99.86992  99.99000  99.29753 #>  [82958]  99.77976  99.80982 100.24470  99.52387  99.93998  99.85489  99.84488 #>  [82965]  99.65440  99.94999 100.14490  99.77475  99.48367  99.94999  99.89995 #>  [82972]  99.83486 100.16986  99.99000  99.90495 100.01500 100.09495 100.13990 #>  [82979] 100.09495  99.78477 100.01500  99.89995 100.00500 100.42410 100.23971 #>  [82986]  99.88994 100.27961 100.21976 100.12492 100.03000  99.80982  99.90996 #>  [82993] 100.09995 100.26465  99.88994 100.26465 100.15987  99.55903  99.84989 #>  [83000] 100.18483 100.12992  99.68450 100.20479 100.20479  99.75971 100.20479 #>  [83007] 100.14989  99.85489 100.10994 100.07997 100.17485  99.94498 100.06498 #>  [83014] 100.18483 100.67274 100.04999 100.24470  99.89494 100.17984 100.57336 #>  [83021]  99.76973  99.64939  99.99500  99.51884  99.52889 100.25468  99.87993 #>  [83028] 100.01000 100.27961  99.89995 100.04499  99.75971 100.23971 100.22475 #>  [83035]  99.94498  99.84488  99.82986 100.30952 100.45895  99.84488  99.76472 #>  [83042] 100.01000  99.73966  99.69453 100.10494 100.21976  99.54898  99.49372 #>  [83049]  99.29753  99.64437  99.90996 100.13491 100.11493 100.38426 100.33942 #>  [83056]  99.95499  99.97000  99.65942  99.91496 100.15987 100.22475 100.11993 #>  [83063] 100.50373  99.58414  99.94999 100.39422  99.97500  99.93498 100.03000 #>  [83070] 100.06498  99.68952 100.04499  99.97500 100.30952 100.26465 100.13990 #>  [83077]  99.65440  99.90996 100.56838  99.89494 100.23971  99.80982 100.13990 #>  [83084] 100.34441 100.10494  99.92998 100.14490  99.80481  99.89494 100.12992 #>  [83091]  99.94498  99.81483  99.90996  99.99000  99.80982 100.17984  99.66444 #>  [83098] 100.03499  99.87993  99.81984  99.44848  99.90996  99.76973  99.91496 #>  [83105]  99.89494 100.16486 100.12992 100.17485 100.13491  99.70456 100.05998 #>  [83112] 100.01500 100.52363 100.17984  99.63935  99.76973  99.84488  99.58916 #>  [83119]  99.93498  99.91997  99.98500 100.01500 100.15987  99.71961  99.68952 #>  [83126] 100.12492  99.65942 100.03999 100.42908  99.68952  99.80481 100.52860 #>  [83133]  99.97500  99.99000  99.47864 100.00500  99.65942 100.14989  99.92998 #>  [83140]  99.40322  99.87492 100.02500 100.17984  99.85990  99.91496 100.31949 #>  [83147] 100.19980  99.99000  99.68952  99.83486 100.46392 100.56838 100.00500 #>  [83154]  99.69453 100.03499  99.68450  99.83486  99.93498  99.72462  99.60924 #>  [83161] 100.11493 100.16986  99.94999 100.26964  99.94498  99.95499 100.23472 #>  [83168] 100.10994  99.63433 100.01500  99.98000 100.44899  99.91997 100.06498 #>  [83175] 100.16486 100.22974 100.13491 100.16986 100.12992  99.85489 100.16486 #>  [83182] 100.26964  99.70456 100.32447 100.06498  99.77976  99.94498 100.36434 #>  [83189] 100.18483 100.34939  99.84989 100.34441  99.95499 100.10994 100.29955 #>  [83196]  99.91997  99.60422  99.70958 100.15987 100.37430  99.75971  99.59920 #>  [83203] 100.18982  99.69453  99.83486  99.92998  99.73465 100.10494 100.38924 #>  [83210]  99.83987 100.53358 100.01000 100.02500  99.75971 100.20479 100.14989 #>  [83217] 100.18483  99.60422  99.90495  99.34284 100.02000 100.06998 100.18483 #>  [83224]  99.37807 100.22475 100.51865  99.71459 100.60815  99.95999 100.23472 #>  [83231] 100.08996  99.70958 100.31451  99.73966 100.02500  99.87993 100.16986 #>  [83238] 100.10494  99.57911 100.05998  99.56405  99.48367 100.17984 100.23472 #>  [83245]  99.77976 100.39422  99.66945  99.97000 100.25468  99.70456  99.96499 #>  [83252] 100.10494  99.88994  99.73465  99.34284 100.31949  99.56405 100.59821 #>  [83259] 100.57336 100.42908  99.79479 100.29955 100.20479 100.00500 100.04499 #>  [83266]  99.91496  99.70456  99.58916  99.97000 100.38426 100.42410 100.63797 #>  [83273] 100.09495  99.90495 100.32946 100.15987 100.51865 100.03499  99.93498 #>  [83280]  99.65440  99.51382 100.11493 100.49378 100.31949 100.29955 100.02000 #>  [83287]  99.96499 100.33444  99.83987  99.86491 100.34441  99.74467 100.14490 #>  [83294] 100.26465 100.39920 100.11493 100.03499 100.15987  99.96499  99.36297 #>  [83301] 100.07997  99.90996 100.05998  99.78978 100.60815  99.89995  99.95999 #>  [83308]  99.99000  99.98000 100.02000 100.07997 100.19980  99.78477 100.31451 #>  [83315]  99.46859  99.94999  99.74467  99.90996  99.51884 100.22475 100.26465 #>  [83322]  99.89494 100.59324  99.66945 100.35935  99.34284  99.80982 100.46392 #>  [83329] 100.15987  99.95499  99.75971  99.99500 100.27961 100.01000  99.91496 #>  [83336]  99.84488  99.85990  99.97500  99.57409  99.99500 100.25966 100.04499 #>  [83343] 100.13491  99.41831 100.45397 100.07997 100.24470 100.25966 100.17984 #>  [83350] 100.25468 100.72239  99.72963  99.93998 100.33942 100.02500  99.74969 #>  [83357]  99.90996 100.16986  99.95499  99.90996  99.88994 100.03000 100.05998 #>  [83364] 100.30454 100.24969  99.86992  99.91496  99.82986  99.85489 100.07997 #>  [83371] 100.50871 100.05498  99.79980 100.34441  99.79980  99.83486 100.09495 #>  [83378]  99.85990  99.39316  99.64437 100.14490 100.73728  99.82485 100.01000 #>  [83385] 100.09995 100.03999 100.53358 100.27961  99.38310 100.20479 100.28460 #>  [83392]  99.80982 100.23971 100.04999  99.92998  99.66444  99.56405 100.03000 #>  [83399] 100.40418 100.07497  99.61928  99.53391  99.66945 100.37430  99.84488 #>  [83406]  99.87993 100.30952  99.76472 100.03499  99.79479  99.83486 100.11993 #>  [83413]  99.66945 100.03499 100.23971  99.83987  99.67447  99.94999 100.46392 #>  [83420] 100.07497 100.43904  99.72963 100.41912  99.94498  99.77475  99.42334 #>  [83427]  99.35794 100.50373  99.85489 100.45397  99.63935 100.18982 100.52363 #>  [83434] 100.03499 100.29457 100.06498  99.55903 100.44899  99.73966 100.54850 #>  [83441]  99.82986  99.71961 100.63797  99.45351  99.79980 100.08496 100.39422 #>  [83448]  99.46356  99.87492 100.48383  99.35291 100.58827 100.30454 100.02000 #>  [83455] 100.03000 100.21976 100.09495  99.88493  99.90996 100.03499 100.23971 #>  [83462]  99.51382 100.28460 100.28460  99.55401 100.19980 100.43406 100.15488 #>  [83469] 100.30952  99.80982  99.97000  99.79479  99.97500  99.78978 100.34441 #>  [83476] 100.19481  99.75971  99.88994 100.50373 100.11493 100.06498  99.98500 #>  [83483]  99.39819 100.22475  99.75971  99.59920 100.37430  99.76472 100.02500 #>  [83490] 100.21477  99.35794  99.78477 100.26964  99.85489 100.00000  99.78978 #>  [83497] 100.57833 100.38426  99.88994 100.34939  99.46859 100.27462  99.87492 #>  [83504]  99.91997  99.72963 100.10494 100.03999 100.11993  99.83987  99.61426 #>  [83511]  99.49372 100.32946  99.66444  99.95999  99.94498 100.39920 100.18483 #>  [83518] 100.00500 100.20978 100.21477 100.16986 100.10494 100.28460 100.24969 #>  [83525] 100.28460 100.22475 100.27961 100.47885  99.83486 100.11493  99.52889 #>  [83532] 100.04499 100.08496 100.15488 100.14490 100.08496  99.79479 100.21976 #>  [83539] 100.17984  99.80982 100.26964 100.24470 100.02500  99.83987  99.78477 #>  [83546]  99.74467 100.33444  99.83987  99.74467  99.85489  99.73966  99.68450 #>  [83553]  99.58414 100.36932  99.34284  99.88994 100.34939 100.16986 100.27462 #>  [83560] 100.50373  99.89494 100.03999 100.14989 100.19481  99.76472  99.95499 #>  [83567] 100.10994 100.03499 100.22974 100.03499 100.34441  99.66444 100.24470 #>  [83574] 100.69260  99.80982 100.13990 100.04499 100.07997 100.23971 100.14989 #>  [83581]  99.97500  99.91496  99.36297 100.20978  99.88493  99.99000 100.10494 #>  [83588]  99.81984 100.00000  99.49372 100.46392 100.14490  99.98500 100.60815 #>  [83595] 100.18982 100.38924 100.35437 100.43904  99.94999  99.92497  99.86992 #>  [83602]  99.97000  99.95499  99.44345  99.83486 100.05498 100.11493  99.90495 #>  [83609]  99.76973  99.22701 100.15488  99.92998 100.23971  99.91997  99.84488 #>  [83616]  99.69453 100.38924 100.30454 100.45397  99.71459  99.30257  99.82485 #>  [83623] 100.17984  99.78978  99.57409  99.63935 100.18483  99.50377  99.95999 #>  [83630]  99.82986  99.37807  99.61928 100.20978 100.11993  99.75971 100.25468 #>  [83637]  99.92998 100.29955  99.95499 100.21477  99.43842 100.32946 100.03499 #>  [83644] 100.03999 100.28460  99.87993 100.39920  99.95999  99.89494 100.52860 #>  [83651] 100.10994  99.83987 100.08996 100.43406  99.85489 100.32946  99.85489 #>  [83658] 100.27462 100.03499 100.20479  99.94498  99.91997  99.32271  99.73465 #>  [83665] 100.25966 100.21976  99.71961  99.97000  99.95999 100.32447 100.20479 #>  [83672]  99.59920 100.68764 100.47388  99.57911 100.12492  99.60924  99.84989 #>  [83679] 100.08996  99.96499 100.00500  99.87993 100.12492 100.02000 100.24470 #>  [83686]  99.85489 100.30952 100.03000  99.44345 100.23472  99.71459  99.74969 #>  [83693] 100.32447 100.27462  99.84488 100.03000  99.88994 100.04499 100.07497 #>  [83700] 100.18982 100.43904  99.16653 100.01000  99.37807 100.02500 100.60815 #>  [83707]  99.65942  99.91997 100.40418  99.45853  99.88994  99.94999  99.84488 #>  [83714] 100.03999 100.12992  99.54396  99.70456  99.79980  99.90996 100.34441 #>  [83721] 100.03499  99.67949  99.82986 100.45895 100.06998  99.83987 100.15987 #>  [83728]  99.98500 100.18982  99.97000  99.95999 100.43406  99.67949  99.88994 #>  [83735]  99.90495 100.08996  99.86992 100.27462  99.94999  99.76973 100.17485 #>  [83742]  99.73966 100.27961 100.01000  99.51884  99.74969  99.97000 100.32447 #>  [83749]  99.93498  99.92998 100.08496  99.66945 100.43406 100.26964 100.70253 #>  [83756]  99.90996 100.31451  99.97000  99.66444 100.17485 100.07497  99.55401 #>  [83763]  99.91496  99.91997 100.05998  99.70958 100.03999  99.80481  99.86992 #>  [83770]  99.71459  99.79980 100.30454  99.60422  99.82986  99.95499 100.09995 #>  [83777]  99.95499  99.94999  99.66444  99.80982  99.47361  99.49372 100.81667 #>  [83784] 100.32447 100.48383 100.11493 100.50871  99.68450 100.33942  99.28243 #>  [83791] 100.02500 100.13491 100.01000  99.46859 100.09995 100.57336  99.85990 #>  [83798]  99.69453 100.34441  99.87993  99.81984  99.69955 100.32447 100.26465 #>  [83805] 100.34939 100.17984 100.33942  99.80481 100.21976  99.39316  99.82485 #>  [83812]  99.94498  99.66444  99.85489  99.86992 100.25966 100.13990  99.91997 #>  [83819] 100.13990 100.28958 100.19980 100.35935  99.88994  99.61426 100.02000 #>  [83826] 100.26964 100.06998 100.00000 100.43904  99.88493  99.71961  99.59920 #>  [83833]  99.94498  99.62931  99.93998  99.53894 100.06998  99.86992  99.94999 #>  [83840] 100.34939 100.00000  99.87993  99.75470 100.12492  99.74969  99.79980 #>  [83847] 100.50373  99.78978 100.21477  99.69955  99.85990  99.44345  99.88493 #>  [83854]  99.71961  99.73966  99.64437  99.81984 100.22974 100.37928 100.09495 #>  [83861]  99.70456 100.31949 100.29955  99.64437  99.44848 100.35935  99.80481 #>  [83868]  99.95499  99.83486 100.24969  99.84488 100.38426 100.16486 100.04499 #>  [83875] 100.18483 100.26964  99.86491 100.28460 100.08996 100.21976 100.10994 #>  [83882]  99.87993 100.14490 100.15987 100.16986 100.09995 100.16486  99.92497 #>  [83889] 100.55347  99.90996 100.43406 100.55844  99.97000  99.75470 100.23472 #>  [83896] 100.46392 100.48383  99.97000 100.30454  99.90495 100.09495 100.07997 #>  [83903] 100.38426  99.66444  99.39819  99.88994 100.22974  99.72963 100.30952 #>  [83910] 100.13491  99.85990  99.83987 100.48881  99.39819 100.14490 100.16486 #>  [83917]  99.59920  99.91997  99.88994 100.23472  99.87492 100.64293 100.12492 #>  [83924]  99.80481  99.99500  99.73966  99.98500 100.21976 100.09995  99.62931 #>  [83931]  99.71459  99.97500  99.71961 100.08496 100.28460 100.09995  99.82485 #>  [83938] 100.40418  99.61928  99.92497  99.91496 100.30454 100.44899  99.61928 #>  [83945]  99.88493 100.44401  99.86992 100.00000  99.77976 100.07997  99.93498 #>  [83952] 100.09495  99.96499 100.03000 100.19481  99.69453 100.10494 100.60815 #>  [83959] 100.18483 100.20479 100.12992  99.35794  99.89494 100.77698 100.44899 #>  [83966] 100.02000  99.63433 100.09995 100.73728 100.63797  99.74467 100.33444 #>  [83973] 100.01500 100.07997  99.91997 100.01000 100.36932  99.78978 100.10994 #>  [83980] 100.22475  99.92998 100.51865  99.33781  99.59418 100.07497 100.42908 #>  [83987] 100.29457 100.11493 100.18982  99.86992 100.12492 100.40418  99.63935 #>  [83994] 100.03499  99.78978 100.15488  99.60924 100.25966 100.23472  99.86491 #>  [84001]  99.61426  99.82986 100.09495 100.15488 100.33444 100.08996  99.69453 #>  [84008]  99.89995  99.48869 100.38924  99.63935 100.35935 100.30952  99.62931 #>  [84015]  99.69955  99.95999 100.03499 100.50373  99.95499  99.76973  99.86491 #>  [84022] 100.34939 100.21976 100.10494 100.42410  99.63935 100.07997  99.43339 #>  [84029] 100.07997 100.06998  99.82986  99.88994 100.30454 100.11493 100.05498 #>  [84036]  99.80982  99.67949 100.22475 100.10494  99.97000  99.93498 100.01000 #>  [84043] 100.27462 100.29955  99.89995 100.60318 100.30454 100.06498 100.13491 #>  [84050]  99.62931  99.52889 100.26964 100.44899 100.41912 100.08996 100.16986 #>  [84057]  99.78978 100.42908 100.24969  99.96499  99.73966  99.48869 100.18982 #>  [84064] 100.03999  99.50879  99.98500 100.49378 100.16486 100.30454 100.01500 #>  [84071] 100.11993 100.11493 100.33444  99.65942 100.27462  99.83987  99.97000 #>  [84078]  99.81483  99.91496  99.98500  99.63433  99.82986  99.87492 100.08496 #>  [84085] 100.35437 100.18982 100.27462  99.38813  99.32774  99.95999 100.39422 #>  [84092] 100.40418  99.80481 100.34441 100.15488  99.59920  99.91997 100.18483 #>  [84099]  99.62429  99.87993 100.03000 100.02500  99.92998  99.88493 100.16486 #>  [84106] 100.04499 100.50373 100.42410  99.57911  99.82485  99.81984 100.31949 #>  [84113]  99.87993 100.24470  99.48869  99.78978 100.10494 100.04499  99.65942 #>  [84120] 100.03499  99.74969 100.17485 100.11993 100.13990  99.61426  99.97000 #>  [84127] 100.17485  99.92497  99.56907  99.78477  99.86491 100.00000 100.10994 #>  [84134]  99.99500  99.98500 100.07997 100.16486  99.74969 100.24969 100.21976 #>  [84141] 100.22974 100.32946 100.47885  99.78477 100.02500 100.23971  99.46859 #>  [84148]  99.87993  99.55401  99.79980  99.53894  99.86491 100.05498  99.95999 #>  [84155]  99.93998 100.12492  99.92497 100.45397  99.75470  99.90495  99.80481 #>  [84162] 100.02000  99.68952  99.60422  99.71459 100.09495 100.17485 100.03000 #>  [84169] 100.07497  99.79479  99.94498  99.99500 100.22974 100.02500  99.81984 #>  [84176] 100.06498  99.99000  99.69453 100.03000  99.74969  99.64437 100.12492 #>  [84183] 100.02000  99.88493  99.81984 100.31451 100.24470 100.56341 100.16486 #>  [84190]  99.70958 100.20978  99.45853 100.17485  99.86491  99.51382  99.64939 #>  [84197]  99.90996  99.47864 100.05998 100.41414 100.48881  99.99000  99.82986 #>  [84204] 100.16986  99.82485  99.73465  99.62931  99.85990 100.13990  99.95999 #>  [84211]  99.65942 100.32447  99.55903  99.76472  99.93498  99.94498 100.00500 #>  [84218] 100.20978  99.56907 100.48881 100.19481 100.26465 100.41912 100.39920 #>  [84225]  99.84989 100.00000  99.68952  99.96499  99.98000 100.09495  99.89995 #>  [84232] 100.23472  99.74467 100.59324 100.47388 100.00000 100.21477 100.13990 #>  [84239] 100.25468 100.47885 100.08496  99.87993  99.73465  99.60924  99.66945 #>  [84246]  99.95999  99.82986  99.89494 100.20978 100.31949 100.11993 100.03499 #>  [84253] 100.28958  99.56907 100.31451 100.09995  99.86992 100.07997  99.94498 #>  [84260] 100.12492  99.98500  99.74467  99.75470  99.66945 100.20479 100.23472 #>  [84267] 100.33942  99.76472  99.97500  99.67949  99.49372  99.89995 100.26465 #>  [84274] 100.25966  99.57409  99.97000  99.86491 100.34441  99.39316 100.35935 #>  [84281] 100.37430  99.60422  99.79980 100.07997 100.15488  99.78978  99.91997 #>  [84288] 100.03999  99.93998  99.97000  99.79479 100.06498 100.68764  99.34787 #>  [84295]  99.96499 100.25966  99.68450  99.43842 100.25468 100.33942 100.28460 #>  [84302]  99.60924  99.54396  99.34284 100.01000  99.84989  99.93998  99.89494 #>  [84309] 100.63300 100.14989  99.67949 100.12992 100.16486  99.64437 100.03999 #>  [84316] 100.31451 100.46890  99.63433  99.34284 100.36434  99.75971 100.12492 #>  [84323] 100.55844  99.90996  99.83987  99.71961  99.45351  99.61928 100.39920 #>  [84330] 100.19481 100.12992 100.19481  99.82485 100.14490  99.93998  99.90495 #>  [84337] 100.32447  99.72963  99.76472  99.54396  99.82485 100.02500  99.91997 #>  [84344]  99.51884  99.91496  99.95999 100.47388  99.74467  99.81483 100.48881 #>  [84351]  99.95999  99.66444 100.52860 100.43904 100.45895 100.15987  99.69955 #>  [84358]  99.72963  99.85489  99.71961  99.87492  99.83486 100.49876  99.92497 #>  [84365] 100.40418 100.22475 100.09495 100.06998 100.05498  99.48869 100.15488 #>  [84372] 100.35437 100.07497 100.52363 100.02000 100.15987  99.44345 100.63797 #>  [84379]  99.59920  99.93998 100.40418 100.04499  99.66945  99.76472 100.26465 #>  [84386]  99.98500  99.66945 100.18483 100.09995 100.27961 100.02500  99.86491 #>  [84393] 100.02000  99.79980 100.50373  99.88994 100.18982  99.76472 100.29955 #>  [84400]  99.47864 100.10494  99.87993  99.70456 100.00500 100.17984  99.60924 #>  [84407]  99.78978 100.24969 100.40916 100.11493 100.63300  99.58916  99.96499 #>  [84414]  99.81483  99.85489 100.19980 100.05998  99.79980  99.80982 100.54352 #>  [84421] 100.22974 100.00500 100.00500  99.90495 100.27462  99.67447  99.73966 #>  [84428] 100.27961 100.04499 100.79683 100.15488  99.82485 100.07997  99.99500 #>  [84435]  99.82986 100.38924  99.69453 100.21976 100.03499 100.33942  99.91997 #>  [84442] 100.29955 100.03000 100.15987 100.14490 100.24470 100.03499  99.79980 #>  [84449]  99.61928  99.60924  99.58414 100.26964  99.74467  99.81483 100.20978 #>  [84456] 100.51368  99.58916 100.26964  99.92998 100.24470 100.46392  99.79980 #>  [84463] 100.23971  99.42837 100.36434  99.80982 100.09995 100.33942 100.00500 #>  [84470] 100.54850  99.86992 100.39422  99.53894 100.41414  99.38310  99.92998 #>  [84477]  99.98000  99.86491 100.20978  99.95499 100.13491  99.70456 100.02000 #>  [84484] 100.18483 100.21477  99.97000 100.35935 100.24969 100.29457 100.10994 #>  [84491]  99.91997 100.25966  99.79980  99.74969  99.71961 100.13491 100.09495 #>  [84498]  99.85990  99.99500  99.94498  99.75470 100.24969  99.82485 100.29955 #>  [84505]  99.61426  99.99000  99.82986 100.52363 100.17485 100.02000 100.17485 #>  [84512]  99.66444 100.16486 100.18483 100.14989  99.86491  99.90495  99.89494 #>  [84519] 100.39920  99.81483  99.90996 100.05998 100.04999  99.96499 100.46392 #>  [84526]  99.95999  99.77475 100.12492  99.52889 100.01500 100.37928 100.24470 #>  [84533]  99.75470  99.70958 100.12492 100.22974  99.90495 100.21477  99.82986 #>  [84540]  99.69955  99.66945  99.50879  99.71961 100.36932  99.88493  99.49372 #>  [84547]  99.98000 100.14989  99.58414  99.51382  99.81984 100.51368 100.00000 #>  [84554] 100.13990 100.04999 100.03000  99.88493  99.69955 100.01500  99.95999 #>  [84561] 100.46890 100.08996 100.09995 100.34939  99.71961 100.15987 100.18982 #>  [84568] 100.02500  99.73966 100.31949  99.88994 100.55844  99.66945  99.55903 #>  [84575] 100.07997  99.65942 100.07997  99.85489  99.77976 100.07497  99.74969 #>  [84582] 100.29457 100.19980 100.22974 100.10494 100.22475  99.70958 100.37928 #>  [84589] 100.29457  99.90996 100.31451  99.55903 100.42410 100.38426  99.91496 #>  [84596]  99.99000  99.75470  99.96499  99.81483 100.20479 100.20479  99.82485 #>  [84603]  99.49372 100.36434 100.36932  99.92998  99.96499  99.76472  99.89494 #>  [84610] 100.41912  99.47864  99.74969  99.72963  99.93998  99.81984  99.45853 #>  [84617] 100.11993  99.55401 100.11993  99.77475  99.58916 100.23971 100.19980 #>  [84624] 100.05998  99.85489 100.12992 100.18982 100.01500 100.35935  99.49874 #>  [84631]  99.68952 100.27961 100.03000 100.06998 100.12992  99.93498 100.26465 #>  [84638] 100.25966 100.09995  99.83486  99.81483  99.93998  99.98000 100.34939 #>  [84645]  99.77976 100.10494 100.37928 100.02500 100.15488  99.63433 100.16486 #>  [84652] 100.36932 100.42908  99.79980  99.86491 100.17485 100.10494  99.92998 #>  [84659] 100.53855  99.96499  99.68952  99.84488 100.27961  99.91997  99.70958 #>  [84666]  99.78978  99.97500 100.34441  99.70456  99.77475 100.32447 100.00000 #>  [84673]  99.89494  99.67949 100.23472  99.76973 100.76210  99.42334  99.67949 #>  [84680] 100.53855  99.72462 100.47885 100.08496  99.73966  99.91496 100.25468 #>  [84687] 100.11493 100.47885  99.48367  99.90996  99.86491 100.33444 100.24969 #>  [84694]  99.51884 100.30952 100.15488 100.38426 100.03000  99.52387 100.37430 #>  [84701]  99.97500  99.85990  99.98000  99.95499 100.14989  99.86491 100.04999 #>  [84708]  99.82485 100.60815  99.67447  99.93998  99.61928  99.98500 100.08496 #>  [84715]  99.91997 100.14490 100.44899 100.15488 100.13990 100.16486 100.14989 #>  [84722] 100.12492 100.02500  99.54898  99.75971  99.77976  99.79479 100.17984 #>  [84729] 100.31949  99.84488 100.36932  99.99500 100.06498  99.83987  99.99500 #>  [84736] 100.21477 100.18483 100.35437 100.45397 100.08996  99.86491 100.02000 #>  [84743] 100.17984  99.81984  99.73465 100.17485 100.05998  99.69955 100.02000 #>  [84750]  99.80982 100.55844 100.25468 100.16986 100.14989 100.29457 100.12992 #>  [84757]  99.54396 100.34441 100.40418  99.85489  99.16653  99.37807 100.07997 #>  [84764]  99.84989  99.71459  99.67949  99.49874  99.93998  99.59920  99.77976 #>  [84771]  99.81483 100.07497  99.63433 100.08996 100.12992 100.05998  99.97500 #>  [84778] 100.16986 100.11993 100.22475 100.18483 100.05498  99.97000  99.81483 #>  [84785] 100.51368  99.96499 100.45895 100.06498  99.72963  99.96499 100.04499 #>  [84792] 100.32946 100.32447 100.11993  99.84488  99.77475 100.17984 100.08496 #>  [84799]  99.87993  99.97500 100.21477 100.53358  99.85990  99.90996 100.47885 #>  [84806]  99.77475 100.32946  99.53894 100.26465  99.58414 100.08496  99.51884 #>  [84813]  99.94999 100.27961 100.18982  99.63935  99.85990  99.69955  99.35794 #>  [84820] 100.31949  99.58414 100.41912 100.14989  99.77976  99.72963 100.11993 #>  [84827]  99.90996 100.03999 100.20479 100.24470  99.83486 100.00500  99.83486 #>  [84834]  99.48367 100.39422 100.00500  99.86491  99.79479  99.67949  99.76472 #>  [84841] 100.05498 100.10494 100.41414  99.67447  99.58916 100.02000  99.97500 #>  [84848]  99.61426 100.16986 100.24470  99.84488 100.00500  99.57409  99.99000 #>  [84855] 100.37928 100.10494  99.81984 100.19980  99.84488  99.76472  99.84989 #>  [84862]  99.99500 100.03499 100.09495  99.81483 100.07997 100.11493  99.78477 #>  [84869]  99.99500 100.15987 100.23472  99.61928  99.75971 100.16486  99.80982 #>  [84876] 100.34939 100.06498 100.37928  99.80982  99.83486  99.78978  99.28243 #>  [84883] 100.40418 100.38426 100.58827  99.40322  99.78978  99.91997 100.33444 #>  [84890]  99.71961  99.73966  99.95999  99.54898  99.99000  99.54396 100.16486 #>  [84897]  99.76973  99.77976 100.21477 100.14490 100.24470 100.10994  99.41328 #>  [84904]  99.72462  99.74467 100.25966  99.82485 100.08996 100.34441 100.25966 #>  [84911] 100.14989 100.21477 100.23971  99.69453  99.98500 100.14989  99.37807 #>  [84918]  99.87993 100.04499 100.63797 100.27462  99.73465  99.72462 100.00500 #>  [84925]  99.59418  99.79479  99.91496  99.69955 100.26964 100.70253 100.35437 #>  [84932]  99.81483 100.32946 100.05998 100.35437  99.65440  99.82485 100.29955 #>  [84939]  99.93998 100.14989  99.82986 100.70750  99.61928  99.76973  99.84989 #>  [84946]  99.79980 100.14989 100.29955 100.16486  99.97500 100.27462  99.86491 #>  [84953] 100.17984  99.61928 100.37430 100.33942  99.83486 100.15987 100.24969 #>  [84960] 100.44899  99.83486 100.27961 100.03999 100.18483 100.01500 100.16986 #>  [84967] 100.09995 100.17984 100.23971  99.40825 100.44401  99.53894  99.77976 #>  [84974]  99.99000  99.92497 100.15488  99.75470 100.07997  99.87492 100.68267 #>  [84981]  99.63935  99.71459 100.15987  99.72963  99.81483 100.25966 100.14490 #>  [84988] 100.11493  99.77976  99.70456  99.55903  99.72462 100.10494  99.61928 #>  [84995] 100.01500 100.15987  99.64939 100.22475  99.78978 100.06998 100.09995 #>  [85002]  99.59920  99.90996 100.13990  99.98500 100.33444  99.52387  99.97500 #>  [85009] 100.27961  99.52387  99.69453 100.37928 100.06498  99.74969  99.66945 #>  [85016]  99.87492 100.30952 100.03499 100.12492 100.09495 100.27961  99.86491 #>  [85023]  99.89995 100.24969 100.01500  99.82485 100.10994 100.08496  99.93498 #>  [85030] 100.03000 100.64293  99.39819 100.34939  99.87993 100.07997 100.01500 #>  [85037] 100.16986 100.72735 100.03000 100.25468 100.32447  99.79479 100.41414 #>  [85044]  99.90495  99.71961 100.10494 100.12992 100.59821  99.85990 100.12492 #>  [85051] 100.26964 100.37430  99.92998 100.04999 100.13990 100.02500 100.25966 #>  [85058] 100.14989 100.05498  99.50377  99.80481 100.03999  99.68952  99.42837 #>  [85065] 100.10994 100.41912  99.55903  99.89995  99.26732 100.12492 100.29457 #>  [85072] 100.27961  99.75971 100.30952  99.91496 100.08996 100.26964  99.52387 #>  [85079]  99.40322  99.99500 100.37928  99.81483  99.82986  99.79980  99.98500 #>  [85086]  99.65942  99.75971 100.72735 100.64293  99.89995 100.26465 100.23472 #>  [85093]  99.77475 100.27961 100.38426 100.20479 100.32946 100.17485 100.22974 #>  [85100] 100.34939 100.16986  99.98000 100.26964  99.46356 100.12992 100.25468 #>  [85107] 100.30952  99.74969 100.54352 100.21477 100.27961  99.81984  99.44848 #>  [85114] 100.48383  99.74969  99.50377  99.87492 100.09495 100.30454  99.90495 #>  [85121] 100.34441 100.39422 100.57336  99.93998 100.23971 100.32447 100.09995 #>  [85128] 100.06998 100.41414 100.10994 100.33444 100.22475 100.50871  99.87492 #>  [85135] 100.51865 100.22974  99.86491 100.45397 100.19481  99.86491 100.02500 #>  [85142] 100.59821  99.88994  99.95999  99.54396  99.62429 100.19980  99.69955 #>  [85149] 100.03000  99.88493  99.50377  99.72462 100.79186  99.47864  99.82485 #>  [85156] 100.25468 100.17485 100.03000  99.80481  99.84989  99.72963 100.05998 #>  [85163]  99.57911 100.01500  99.77976 100.01500 100.22475 100.02500  99.90495 #>  [85170] 100.20978 100.13491  99.80481  99.82485 100.39920  99.84989 100.25966 #>  [85177]  99.78477 100.25966 100.25468  99.82986 100.03000  99.94498  99.93498 #>  [85184]  99.54898  99.70958 100.34441 100.01500 100.03000 100.26964 100.13990 #>  [85191] 100.20978 100.13990  99.97500  99.62931 100.01500  99.86992 100.37430 #>  [85198]  99.72963 100.13990 100.30454  99.82485 100.31949  99.85990 100.37430 #>  [85205]  99.85990 100.04499  99.94498 100.41912  99.59920  99.69453 100.34441 #>  [85212]  99.90996 100.02000  99.91496 100.04499  99.98000  99.66444 100.21976 #>  [85219]  99.31767  99.90495 100.28460 100.01500 100.08996 100.02500 100.61312 #>  [85226]  99.37807  99.92497  99.89494 100.36932 100.32946 100.19481  99.83486 #>  [85233]  99.98500 100.32447 100.11993 100.16486 100.19481  99.48869 100.40916 #>  [85240] 100.10494 100.33942 100.09495 100.06998 100.27961  99.67447  99.82986 #>  [85247] 100.42908  99.69955 100.21477 100.06498  99.94498  99.89494 100.12492 #>  [85254] 100.20978  99.61928 100.39422 100.32447  99.87492 100.38426  99.86491 #>  [85261] 100.13491 100.03000 100.14989  99.79479 100.08496  99.79980  99.95499 #>  [85268]  99.76472  99.85489  99.48869 100.39920 100.47388 100.20978  99.84488 #>  [85275] 100.07497  99.75971  99.88994 100.39920 100.36932  99.74467  99.83486 #>  [85282] 100.28958 100.18483 100.26465 100.00000 100.36434 100.14490 100.01000 #>  [85289] 100.52363  99.72462  99.97000 100.03000  99.98500 100.32946  99.78477 #>  [85296]  99.67949 100.23472  99.54898 100.24969  99.78978  99.75971  99.83987 #>  [85303]  99.98000  99.76973  99.60924 100.30454 100.03000 100.68764 100.60815 #>  [85310] 100.11493  99.62429 100.28460 100.29457 100.04499  99.80982 100.19481 #>  [85317] 100.07497 100.05998 100.41912 100.03000  99.93498 100.03499 100.12992 #>  [85324] 100.17485  99.88493 100.10494 100.00500 100.10994 100.16986 100.23971 #>  [85331]  99.83987 100.04999  99.77475  99.65942 100.19481  99.98000 100.08996 #>  [85338]  99.40322 100.22974 100.02000  99.96499  99.90996 100.00500  99.42334 #>  [85345]  99.78978  99.73465 100.06998 100.14989 100.31949 100.18483 100.68267 #>  [85352] 100.02500  99.64437  99.89995 100.14490  99.94498 100.71743 100.14490 #>  [85359]  99.93998  99.96499  99.85489  99.79980 100.33942 100.05998  99.90495 #>  [85366] 100.18982 100.06998  99.84989 100.13491 100.24969 100.10494  99.88493 #>  [85373]  99.69955  99.72963 100.05498  99.81483  99.76472  99.93498 100.00000 #>  [85380]  99.83486  99.90495 100.26465 100.33942 100.05998 100.15488  99.92998 #>  [85387] 100.55347 100.02500 100.16986 100.28958  99.90996 100.16986  99.65440 #>  [85394] 100.02500 100.43904 100.24470 100.14989  99.68450  99.73966  99.86992 #>  [85401] 100.15488 100.10994 100.05998  99.56405 100.67770 100.46890  99.73966 #>  [85408] 100.05998 100.86129  99.89995 100.03499  99.56405  99.86491  99.84488 #>  [85415]  99.72462 100.16986 100.08496  99.98500 100.06998  99.77976 100.23971 #>  [85422]  99.65942 100.02000  99.91997  99.74969  99.84488 100.47885 100.10994 #>  [85429] 100.08996  99.40825  99.89494  99.53894 100.34441  99.43339  99.63433 #>  [85436] 100.33942  99.74969 100.31949  99.56907 100.25966  99.97500 100.10994 #>  [85443] 100.59324 100.26465  99.40825 100.27462  99.92497 100.44401  99.76472 #>  [85450] 100.15987 100.39422  99.69453 100.39422  99.99000 100.00500 100.38426 #>  [85457]  99.98500  99.58414 100.13990 100.17984  99.80982  99.33781  99.75971 #>  [85464]  99.94999  99.98500 100.02000  99.85489 100.73232 100.08996  99.76472 #>  [85471] 100.05498 100.05498 100.00500 100.48881  99.87993  99.81483  99.71459 #>  [85478] 100.38924  99.94999  99.85489  99.72963  99.66444  99.86491  99.75470 #>  [85485] 100.16486 100.11493  99.81483  99.97000  99.56405 100.30952  99.54396 #>  [85492]  99.99000 100.14989 100.13990  99.92497  99.62429 100.04999  99.91496 #>  [85499] 100.03499  99.60422  99.63935 100.24470  99.75971  99.95499 100.07997 #>  [85506]  99.77976  99.78477  99.91997 100.02500 100.41414  99.86992  99.94498 #>  [85513]  99.95499  99.62931  99.99000 100.06498 100.34939 100.10994  99.93498 #>  [85520]  99.61928 100.08996  99.73465 100.01500  99.88493  99.55903 100.11493 #>  [85527]  99.82485 100.10494 100.33444  99.51884 100.30454  99.32271  99.84488 #>  [85534] 100.35437  99.97500  99.91997 100.21976 100.39422  99.84989  99.57409 #>  [85541] 100.29955 100.17485  99.63935  99.99500 100.62306  99.96499  99.81984 #>  [85548] 100.16986  99.99000 100.36434 100.28460  99.86992 100.11993 100.29457 #>  [85555]  99.60924 100.17984 100.16486 100.41414  99.38310  99.53894 100.46890 #>  [85562] 100.01000 100.15987  99.93498  99.97500 100.01500 100.71246 100.46392 #>  [85569] 100.59821  99.63433  99.63433  99.89995  99.51884  99.97000  99.80982 #>  [85576]  99.59920 100.46392  99.91997 100.11493 100.62803 100.20978 100.62306 #>  [85583]  99.51884 100.10994 100.18483  99.87993 100.16486 100.41414  99.97000 #>  [85590]  99.35291 100.08496 100.22974  99.89995  99.58414 100.15987 100.36434 #>  [85597]  99.82485 100.06498 100.16486  99.81483  99.90996  99.76472  99.68952 #>  [85604] 100.20479  99.93998 100.34939  99.87492  99.49874 100.43904 100.14989 #>  [85611] 100.01000 100.00000  99.89995 100.25468 100.03499 100.27961  99.97000 #>  [85618]  99.40322 100.01000 100.28958  99.68450  99.84488 100.03000  99.99000 #>  [85625]  99.79479 100.15488 100.28460 100.09495  99.74467 100.00500 100.01000 #>  [85632]  99.59920  99.78477 100.27462 100.03499  99.63433 100.29457  99.44848 #>  [85639]  99.71459 100.19980  99.92998  99.92497  99.94999 100.38426 100.14490 #>  [85646] 100.16986  99.91496 100.13491 100.04499 100.26964 100.27961 100.20479 #>  [85653]  99.73465  99.94498  99.93998 100.35935 100.18483 100.23971  99.90996 #>  [85660] 100.08496  99.97000 100.04499 100.38426 100.12492 100.13491 100.51368 #>  [85667]  99.79980  99.73966  99.41831  99.75470  99.85990  99.70958  99.80481 #>  [85674]  99.83987 100.30952  99.97000  99.72462  99.97000  99.64437 100.15488 #>  [85681] 100.12492 100.01000 100.27961  99.80982 100.01500  99.65440  99.95999 #>  [85688] 100.16486  99.74969  99.49372  99.79980  99.98500  99.95499  99.87993 #>  [85695]  99.31264  99.97500 100.25468 100.27961 100.15987  99.87993  99.83486 #>  [85702] 100.02000 100.01000 100.07997 100.09495  99.82986 100.12992 100.02500 #>  [85709]  99.99000 100.33942 100.16486  99.61426  99.76973 100.25468 100.07497 #>  [85716] 100.14490  99.56405 100.61809  99.40825  99.78477 100.12992  99.64939 #>  [85723] 100.37430 100.12992  99.71459 100.05498  99.92998  99.84989  99.69453 #>  [85730]  99.56405 100.11993 100.41912 100.01500 100.03000 100.27462  99.84989 #>  [85737]  99.79479 100.03499  99.73966 100.20479 100.43904  99.94999  99.94498 #>  [85744] 100.22475 100.03000  99.43339  99.86491  99.68450  99.94498 100.30952 #>  [85751] 100.19980  99.82485  99.83987  99.75470 100.17485 100.01500  99.92497 #>  [85758]  99.31767 100.16986 100.14490 100.47885  99.67447 100.43406  99.94999 #>  [85765] 100.01500 100.11493 100.48383  99.82485 100.20978  99.92497  99.61426 #>  [85772]  99.80982 100.35935  99.92497 100.37430  99.84488  99.69955 100.04499 #>  [85779] 100.00500 100.39422  99.55903 100.02000  99.72462 100.16986  99.72963 #>  [85786]  99.86491 100.23971 100.17485  99.80982  99.74467 100.01500  99.68450 #>  [85793] 100.14490  99.99500 100.24969  99.87993  99.88994  99.94999 100.09495 #>  [85800]  99.70456  99.84989  99.85489 100.35437  99.77976  99.94498  99.91496 #>  [85807] 100.03999  99.65942 100.28958 100.16486  99.68450 100.21477  99.70958 #>  [85814] 100.06998 100.37928 100.44899  99.77475  99.55401  99.70456  99.93998 #>  [85821] 100.16486  99.58916 100.32447 100.01000 100.17485 100.30952 100.16486 #>  [85828]  99.74467 100.08496 100.27462  99.74969  99.44345 100.06998  99.96499 #>  [85835] 100.00500 100.54352 100.15488 100.37928 100.07497  99.55903  99.73966 #>  [85842] 100.04999 100.04999  99.49874 100.32946  99.68952  99.77475  99.68450 #>  [85849] 100.43406 100.32946  99.63935  99.58916  99.87993  99.89995  99.71459 #>  [85856]  99.41831  99.87993 100.24470 100.43904 100.41912  99.96499 100.10494 #>  [85863]  99.58916 100.31949 100.17485 100.05998  99.61928 100.04499 100.27462 #>  [85870] 100.19980 100.52363  99.96499 100.17485  99.97000  99.99500  99.29250 #>  [85877] 100.39920  99.85990  99.69955 100.33444  99.68450  99.68450  99.57911 #>  [85884]  99.72963  99.78978  99.84488 100.53855  99.71459  99.45853 100.26465 #>  [85891] 100.38426 100.17984 100.29955  99.89995 100.22974  99.97500  99.53894 #>  [85898] 100.63300 100.33942  99.89995  99.42334  99.86491  99.80982  99.50377 #>  [85905]  99.42334 100.04999  99.79479 100.57336 100.11993  99.68450 100.04499 #>  [85912] 100.20978  99.72963 100.42410  99.71961  99.51884 100.06498 100.45895 #>  [85919]  99.95999  99.69955  99.40322 100.00500 100.05998  99.46356 100.54850 #>  [85926]  99.98500 100.16486 100.18982 100.03999  99.69955  99.69453 100.19980 #>  [85933] 100.10994  99.36800  99.72462 100.32946 100.21477 100.29955  99.82986 #>  [85940] 100.01000  99.76472  99.95499  99.88994 100.32447  99.87492  99.98000 #>  [85947] 100.35437 100.26964 100.15488 100.09995  99.85990 100.15488  99.88493 #>  [85954]  99.86992 100.08496 100.21477 100.04499 100.62803 100.25468 100.18982 #>  [85961]  99.88994  99.83987  99.90495 100.06998 100.33942  99.92998  99.81483 #>  [85968]  99.36800  99.60924  99.93498  99.69453 100.47388  99.93998  99.36800 #>  [85975] 100.04499  99.97500  99.92998 100.36434  99.93498  99.78978  99.86491 #>  [85982]  99.71459 100.24969  99.82986 100.12992  99.86992 100.32946 100.01500 #>  [85989] 100.18483 100.39422  99.60422  99.50377  99.84989  99.73465 100.11493 #>  [85996]  99.93498  99.88994 100.14989  99.95499  99.79980  99.84989  99.99500 #>  [86003]  99.54396  99.62429 100.19980  99.81984  99.92497 100.08496  99.59920 #>  [86010] 100.12992 100.01500  99.64437  99.72462 100.59324 100.06498  99.93498 #>  [86017]  99.95999 100.75713 100.05498 100.52363  99.89494  99.61426 100.22974 #>  [86024] 100.03499 100.26964 100.06998  99.92998  99.72462  99.67949 100.26964 #>  [86031]  99.86491 100.02500  99.92497 100.48881  99.83486  99.84989  99.73465 #>  [86038] 100.24470 100.40916  99.93498  99.74969  99.89494  99.65942  99.91496 #>  [86045]  99.73465  99.39819  99.59418 100.35935  99.79980  99.98000  99.46356 #>  [86052] 100.24969 100.38426  99.77976 100.10994  99.99500 100.00000  99.87492 #>  [86059] 100.25468  99.82986  99.78978  99.97500  99.96499 100.01500 100.09495 #>  [86066]  99.79980 100.28460  99.83486 100.28460  99.77976 100.39920  99.72963 #>  [86073]  99.88493  99.44848 100.08496 100.11493 100.09495 100.32946  99.98500 #>  [86080]  99.38310 100.06498 100.15488  99.74969 100.08496 100.22974  99.89995 #>  [86087]  99.94999  99.74969 100.12492  99.58414  99.94999  99.44345 100.13990 #>  [86094]  99.94498 100.47388 100.22974 100.08496 100.29457  99.77475  99.95999 #>  [86101]  99.96499  99.82986 100.25966  99.82986  99.85990  99.95499  99.77475 #>  [86108]  99.62429 100.24969  99.55903 100.02000 100.59324 100.04499 100.66280 #>  [86115] 100.24969  99.56405  99.83987 100.20479 100.19980 100.42410  99.60924 #>  [86122]  99.60422 100.40418 100.15987 100.33444  99.89995 100.08996 100.03999 #>  [86129]  99.92497 100.00000 100.33444 100.20479 100.36932 100.16986 100.05998 #>  [86136] 100.11493 100.05498 100.25468 100.68764  99.58916 100.18982 100.51368 #>  [86143] 100.11493  99.48869  99.98500 100.16986  99.53391 100.08996 100.34939 #>  [86150]  99.34284  99.77475 100.50871 100.01500  99.68952 100.01500 100.11993 #>  [86157]  99.86992  99.57911 100.34939 100.38924 100.55347  99.70958 100.25966 #>  [86164] 100.13491  99.80982 100.57336  99.58414  99.79980 100.12492 100.36932 #>  [86171] 100.63300 100.21976  99.74467 100.07497  99.75470 100.09995 100.03000 #>  [86178] 100.48881 100.02000 100.15987 100.05498 100.46392 100.46392  99.28746 #>  [86185]  99.89494 100.12492  99.87492 100.05498 100.34939  99.69453  99.87492 #>  [86192]  99.34284 100.03999  99.86992 100.46890  99.61928  99.85489 100.07497 #>  [86199] 100.08496  99.99500  99.82986 100.27462 100.13990  99.41328  99.86992 #>  [86206] 100.06498  99.82986  99.87492 100.35935 100.08496 100.22974 100.28460 #>  [86213] 100.08496  99.73465 100.43406  99.54898  99.83486  99.80481  99.79479 #>  [86220] 100.12492 100.29955 100.48881  99.98500  99.54898  99.50879  99.86491 #>  [86227] 100.06998 100.37928  99.88994 100.36434 100.38426 100.34441  99.76472 #>  [86234]  99.61426  99.63433  99.87993 100.05498 100.18483  99.88493  99.61426 #>  [86241]  99.85990 100.21477  99.83987  99.77475  99.70456 100.27462  99.93498 #>  [86248]  99.74969  99.88994 100.02000 100.21477  99.80982  99.64939  99.84989 #>  [86255]  99.97000  99.77976 100.35935 100.03499 100.14989  99.78477  99.85990 #>  [86262] 100.39920 100.17485 100.32447 100.05998  99.63935  99.88493 100.07997 #>  [86269] 100.25966  99.84989 100.02500  99.99500 100.23971 100.00500 100.13990 #>  [86276] 100.17485 100.09495 100.15987 100.23971  99.66444  99.93998  99.83486 #>  [86283] 100.38924  99.73465  99.86992  99.90996 100.12492  99.81483  99.59920 #>  [86290] 100.10494 100.12992  99.40322  99.74969  99.79479 100.45397  99.62931 #>  [86297] 100.19481 100.01500 100.16986  99.59418 100.16486 100.00500  99.84488 #>  [86304] 100.42410 100.31451 100.54352 100.33942 100.16486  99.28746 100.11993 #>  [86311]  99.99500  99.60924  99.81984  99.73966  99.37303  99.92998  99.49372 #>  [86318] 100.40916  99.97000 100.22974  99.94498 100.14989  99.78978  99.63935 #>  [86325] 100.66777 100.24969 100.00000 100.40916 100.32447 100.20479  99.83987 #>  [86332]  99.85990 100.05998  99.96499 100.00500 100.12492  99.90495 100.22974 #>  [86339] 100.02500  99.78477 100.29955  99.48869 100.37928 100.68764  99.84488 #>  [86346] 100.23472  99.98500  99.72963 100.05498  99.85990  99.53391 100.34939 #>  [86353] 100.18982  99.87492 100.05498 100.36434 100.04999 100.55844  99.98500 #>  [86360]  99.44345  99.90495 100.18982  99.65440 100.31949  99.87993 100.06498 #>  [86367]  99.74969 100.22475 100.24969 100.25966 100.02000  99.96499 100.00000 #>  [86374]  99.73465  99.85990 100.49876  99.82485 100.02000 100.11493  99.78978 #>  [86381]  99.83486  99.67949 100.29955 100.01000 100.40916  99.81483 100.31949 #>  [86388] 100.37430 100.05998 100.02000  99.92998  99.71961 100.52860  99.73465 #>  [86395] 100.04999 100.19481 100.12992  99.89995  99.94498 100.10494  99.88994 #>  [86402] 100.10494 100.17984  99.90996 100.13491 100.07497 100.21477  99.70456 #>  [86409]  99.83486  99.37807 100.02500 100.12992 100.05498 100.18483 100.19481 #>  [86416] 100.11493 100.12492  99.80982 100.11993 100.02500 100.29955  99.85990 #>  [86423]  99.92497  99.99500 100.25468  99.83486 100.57336 100.24969 100.01500 #>  [86430]  99.40322  99.94498  99.92998 100.26465 100.37928  99.76472  99.62429 #>  [86437]  99.70456  99.84989 100.09995 100.03499  99.81984 100.13990 100.68764 #>  [86444]  99.80982  99.98500  99.76973  99.69955  99.75971 100.21477 100.79683 #>  [86451] 100.32946 100.05998 100.06998 100.07497 100.35935  99.90996 100.29955 #>  [86458] 100.27462 100.46392 100.25468  99.67447  99.75971 100.05998 100.08996 #>  [86465] 100.07997 100.02500 100.08996 100.12492 100.21976 100.03000  99.98500 #>  [86472] 100.16986 100.05998  99.78477 100.24969  99.57409  99.67949  99.98500 #>  [86479] 100.22475  99.85990 100.26465 100.18483 100.02500  99.50879  99.75470 #>  [86486] 100.34441  99.93998 100.03499 100.17485  99.57409 100.49378  99.81984 #>  [86493] 100.08496 100.18982  99.74969  99.77976  99.93998 100.02000 100.45895 #>  [86500] 100.17984  99.95999 100.45895 100.33942 100.21477 100.02500 100.29955 #>  [86507] 100.08496 100.37928  99.70958  99.79479  99.76973  99.71961  99.87993 #>  [86514] 100.51865 100.16486 100.48881  99.61426  99.92998  99.53894  99.92998 #>  [86521]  99.94999  99.84488  99.92998 100.42908  99.71961  99.68952  99.80481 #>  [86528] 100.21976 100.15987  99.75971 100.22475  99.89995  99.86992 100.43406 #>  [86535] 100.45895  99.89494  99.87993 100.24470 100.19980  99.87993 100.45397 #>  [86542]  99.72462 100.04999  99.80481  99.92998  99.58916  99.95999 100.11993 #>  [86549]  99.35794 100.28460 100.27961  99.81984 100.28460  99.63433  99.68952 #>  [86556]  99.70456  99.61426 100.35935  99.90495  99.64437  99.78477  99.89494 #>  [86563]  99.67447  99.41328  99.67447  99.81483  99.68952 100.04499 100.15488 #>  [86570]  99.96499 100.10994 100.10994 100.06998 100.18483  99.62931 100.47388 #>  [86577] 100.30454 100.75217 100.07497  99.51884  99.71961  99.63433  99.85990 #>  [86584] 100.10994  99.86992 100.26964 100.11493  99.65942 100.40916  99.79980 #>  [86591]  99.76472  99.69955 100.15488  99.89494 100.03000 100.07997 100.13491 #>  [86598]  99.86491  99.73465 100.54850  99.89995 100.14989  99.72963 100.37430 #>  [86605]  99.96499 100.80675 100.51865 100.27462  99.97000 100.35935  99.98000 #>  [86612]  99.80481  99.97000  99.90495  99.85990  99.70456  99.70456  99.76973 #>  [86619] 100.04999 100.05998 100.42908 100.11493 100.41912  99.98000 100.00500 #>  [86626]  99.93498 100.20978 100.17485  99.80982 100.25966  99.73966  99.99000 #>  [86633]  99.66945  99.95499  99.92497 100.21477 100.42908  99.73465 100.07497 #>  [86640] 100.03000 100.06998 100.60318 100.33444 100.24470 100.51865 100.11493 #>  [86647]  99.48367 100.00500 100.25468 100.29955  99.42334  99.74969  99.90495 #>  [86654] 100.31451 100.53358  99.51884 100.02000  99.86491 100.82162 100.25468 #>  [86661] 100.21976  99.72963  99.59418  99.99500 100.20479 100.02500  99.76472 #>  [86668]  99.92497  99.95499 100.05498  99.76973  99.39316  99.65942  99.87492 #>  [86675] 100.37430  99.79479 100.25966  99.58414  99.68450 100.03000  99.93498 #>  [86682]  99.52387 100.13990 100.03999  99.88994 100.32447 100.22974  99.69955 #>  [86689]  99.93498  99.89995  99.79980  99.82485 100.17984  99.88493 100.13990 #>  [86696] 100.30952 100.10994  99.85990  99.68450 100.14989 100.29955  99.58414 #>  [86703] 100.01500 100.08496  99.88493 100.05498 100.30454 100.18483  99.38310 #>  [86710] 100.38426 100.20978  99.83486  99.65440  99.65942 100.20978 100.10994 #>  [86717] 100.17485 100.07497 100.08496 100.12992  99.98500  99.49874 100.57336 #>  [86724] 100.05498  99.84488 100.34441  99.71961  99.97500  99.72462  99.98500 #>  [86731] 100.36434 100.70253 100.43406 100.46392  99.83987  99.89995 100.10494 #>  [86738] 100.43904 100.05998 100.28958  99.90996 100.19481 100.26964  99.91997 #>  [86745]  99.81984  99.97500 100.43904  99.61426 100.45397 100.61312  99.94498 #>  [86752] 100.00500 100.18483 100.15987 100.21477 100.25468  99.47361 100.12492 #>  [86759] 100.31949  99.49372  99.66945  99.76973  99.93498  99.52387  99.85489 #>  [86766]  99.55401  99.72963 100.30952  99.59920  99.86491 100.01000 100.06498 #>  [86773]  99.64437 100.54352  99.57409  99.51884 100.29457 100.52363 100.33444 #>  [86780] 100.22475  99.80481  99.65440  99.60422 100.10494  99.94999 100.08496 #>  [86787]  99.88493  99.76472 100.43406  99.63935 100.06998  99.83486 100.33444 #>  [86794] 100.11493 100.16486  99.78978  99.95499 100.19980 100.01500  99.83987 #>  [86801] 100.37928 100.01500  99.22701  99.97500  99.76973  99.55903  99.70958 #>  [86808] 100.31949 100.04999 100.21477  99.60422 100.11993  99.72462  99.76973 #>  [86815] 100.18483  99.45853  99.80982  99.51884 100.12492 100.06998  99.65942 #>  [86822]  99.66444  99.54898  99.90495 100.01500 100.07497  99.72462  99.90495 #>  [86829] 100.22475  99.93998 100.55844 100.21976  99.84488 100.10994 100.38924 #>  [86836] 100.07997 100.01000 100.37430 100.13990  99.97000 100.02000  99.81483 #>  [86843]  99.86491 100.22974 100.07997 100.46890 100.11993 100.21477 100.05998 #>  [86850] 100.15987  99.69955  99.72462 100.09995  99.97000 100.27462  99.39316 #>  [86857]  99.93498 100.19980  99.86992  99.79479 100.28958 100.12492  99.56907 #>  [86864]  99.64939  99.68952 100.17485  99.55401 100.35935  99.99000 100.09495 #>  [86871] 100.16986  99.71961  99.44848 100.52860 100.27961 100.04999  99.70456 #>  [86878] 100.33444 100.03499  99.76973  99.44345  99.91496  99.57409 100.38924 #>  [86885]  99.74969 100.04499  99.72462 100.20479 100.30952  99.80982  99.76973 #>  [86892]  99.92998 100.01000 100.19980 100.44401  99.97500  99.97000  99.97000 #>  [86899] 100.22974  99.46859 100.26465 100.59821 100.24470  99.45351 100.08496 #>  [86906]  99.86992  99.77976 100.45397  99.85489  99.78978 100.03999 100.02000 #>  [86913] 100.16986  99.92497  99.67447  99.74467 100.00000 100.29955 100.60815 #>  [86920]  99.45853  99.53391 100.14989 100.12992  99.86491  99.96499  99.98000 #>  [86927]  99.68450  99.84989 100.32946 100.31451 100.03499  99.41328 100.05498 #>  [86934]  99.82485  99.85489 100.48881 100.17984  99.98000 100.42410 100.45397 #>  [86941]  99.99000  99.94498 100.32447  99.80481  99.87492 100.58330 100.06498 #>  [86948]  99.38310  99.92998  99.93998 100.03499  99.48367  99.97500 100.49378 #>  [86955]  99.80481 100.24969 100.42410  99.90495 100.22974 100.40916 100.21477 #>  [86962]  99.98500 100.00000  99.88493 100.00000 100.24470  99.57911  99.80982 #>  [86969] 100.23971 100.03000  99.97000  99.99500  99.97000 100.30454 100.02000 #>  [86976] 100.44401 100.05498 100.04999  99.76472 100.01500  99.65440  99.78978 #>  [86983] 100.00000 100.20479  99.97000  99.49874  99.91997  99.79479  99.75470 #>  [86990]  99.59418  99.87993  99.86491 100.11993  99.85990  99.97000  99.52387 #>  [86997]  99.63935  99.73966 100.28460 100.29457 100.19980 100.07997  99.74969 #>  [87004] 100.05498  99.91496 100.49876 100.49876 100.07497 100.17485 100.47885 #>  [87011]  99.62931  99.62429 100.29457 100.14490  99.88493  99.84989 100.33444 #>  [87018] 100.06498 100.18483  99.92998 100.21976 100.29955  99.55401 100.06498 #>  [87025]  99.65942  99.55401  99.91496 100.16486 100.01000 100.34441  99.88994 #>  [87032]  99.66945 100.15488  99.74969 100.02000  99.22701  99.22197  99.58916 #>  [87039] 100.23472  99.58916  99.91496 100.23971  99.93998 100.25966 100.36932 #>  [87046]  99.90495 100.19481  99.78978 100.29955 100.81171 100.00000 100.42410 #>  [87053] 100.34939 100.11993 100.11493  99.91496 100.10494  99.77475  99.51884 #>  [87060] 100.20479 100.01000 100.37928 100.06998  99.96499  99.61426 100.31451 #>  [87067]  99.61928  99.78477 100.35935  99.78477  99.80982  99.80982  99.72462 #>  [87074]  99.76472  99.94999 100.10494 100.06998 100.29457  99.99000  99.76472 #>  [87081]  99.80481 100.41414 100.21477  99.84488 100.49378  99.72462  99.35291 #>  [87088]  99.59920 100.24969 100.54352  99.94498 100.04999 100.26465 100.84146 #>  [87095]  99.78477  99.89494 100.17485  99.63433  99.64939  99.99000 100.18982 #>  [87102] 100.22974  99.92497  99.60422  99.74467  99.72963  99.81984 100.40418 #>  [87109] 100.15987 100.31949 100.19481 100.31949  99.74969 100.04499  99.73966 #>  [87116] 100.07997 100.19481 100.17485 100.40916 100.47388 100.04499 100.26964 #>  [87123] 100.14490 100.51368 100.10494 100.25468  99.59418  99.99500 100.02000 #>  [87130]  99.54898  99.83486  99.87993 100.05498  99.60924 100.55844  99.79980 #>  [87137] 100.08496  99.58916  99.42837  99.75971 100.15488  99.81483  99.55401 #>  [87144]  99.90495  99.66444  99.94999  99.94498 100.46890  99.73465 100.22974 #>  [87151]  99.72462  99.79479  99.81984  99.81483  99.78978 100.15488  99.84989 #>  [87158] 100.27961 100.02500 100.28460 100.23472 100.35437  99.91997 100.13491 #>  [87165] 100.33444  99.78477 100.02000  99.85489  99.81483  99.61928  99.70958 #>  [87172] 100.29457  99.89494  99.83486 100.02500  99.77475 100.38924 100.33444 #>  [87179] 100.05998 100.18982 100.01500  99.92497  99.89995 100.03499 100.06998 #>  [87186]  99.91997  99.97000 100.00000 100.06998  99.54898  99.40322 100.02500 #>  [87193] 100.00000  99.82485  99.98000 100.44899  99.48367  99.53391  99.66444 #>  [87200]  99.65440  99.72963  99.67447 100.01500 100.19980  99.94498  99.98500 #>  [87207] 100.34441 100.45397 100.21976  99.70958  99.55903  99.79980  99.51382 #>  [87214]  99.69955  99.87993 100.14490  99.99000  99.92497  99.46356 100.09995 #>  [87221] 100.02000  99.40825  99.95999 100.07497  99.78978 100.22974 100.19481 #>  [87228]  99.88994 100.05498  99.92998  99.71961  99.90495 100.12492  99.90495 #>  [87235]  99.62429  99.79479  99.90495  99.92497  99.91997  99.69453 100.02500 #>  [87242]  99.88994  99.81984  99.89494 100.21477 100.55844  99.89995  99.76472 #>  [87249]  99.95499 100.12492 100.03000  99.81483 100.01500 100.03999  99.94999 #>  [87256] 100.72735  99.98500  99.68952 100.23971  99.66444  99.69955 100.54850 #>  [87263] 100.19980  99.70958  99.59920  99.97500  99.98500  99.99500 100.20479 #>  [87270] 100.13491 100.13990 100.30454  99.90495  99.74969  99.73966 100.46392 #>  [87277]  99.52889  99.85990  99.68952 100.02000 100.04999  99.91496 100.36932 #>  [87284] 100.48383  99.53894 100.08496  99.74467 100.42908  99.88994  99.70958 #>  [87291] 100.11493  99.73966  99.53391  99.84989 100.23971 100.03000  99.89494 #>  [87298]  99.53391 100.24969 100.29955  99.91496  99.24717 100.17984  99.72462 #>  [87305] 100.13491  99.69955  99.49874  99.85489  99.89995  99.78477  99.97500 #>  [87312]  99.66945 100.49378 100.04999  99.80481 100.53358 100.02500 100.03000 #>  [87319] 100.55844 100.06998  99.85489 100.19481  99.95999 100.50871 100.59821 #>  [87326] 100.02500  99.66945 100.25468  99.60422  99.85489  99.89494  99.67949 #>  [87333] 100.33444 100.44899 100.59821 100.49378 100.10994  99.92998 100.45895 #>  [87340]  99.91496  99.81984 100.38426 100.30454 100.04499  99.75971  99.79479 #>  [87347] 100.38924 100.00500  99.67447 100.01000 100.28958 100.07997  99.72963 #>  [87354]  99.74467  99.75971  99.84989 100.22475 100.25966 100.07997 100.06998 #>  [87361]  99.90495 100.16986  99.69453  99.77976  99.31767 100.17984  99.91496 #>  [87368]  99.51382 100.21976  99.76472  99.39316  99.82986 100.21976  99.77475 #>  [87375]  99.87993  99.60924  99.87993  99.54898  99.89494  99.83987  99.70958 #>  [87382] 100.20479 100.32447 100.11493  99.76973  99.86491 100.12992  99.51382 #>  [87389] 100.56341 100.04999 100.91581  99.69955  99.74467  99.73966 100.68764 #>  [87396] 100.18982  99.62931 100.16486 100.15987  99.53894  99.77475 100.48383 #>  [87403]  99.86992  99.51382 100.18483  99.85990 100.18982  99.95499 100.16986 #>  [87410] 100.34441  99.47361 100.03000  99.60422  99.83987 100.18483 100.10494 #>  [87417]  99.76472 100.24969  99.98500  99.85489 100.30454 100.12492  99.90495 #>  [87424]  99.94999  99.91496  99.96499 100.37928 100.45895 100.07497  99.84488 #>  [87431] 100.06498 100.25468  99.80982 100.04499  99.69955  99.73966 100.26465 #>  [87438]  99.76472 100.39920  99.55903  99.86491 100.08996  99.61426  99.63935 #>  [87445] 100.34939 100.32447 100.08496  99.82485 100.65784  99.48367  99.93998 #>  [87452]  99.62931 100.02000  99.90495  99.79980  99.94999 100.18483  99.61426 #>  [87459]  99.63433 100.03000  99.73966 100.11493  99.89995  99.41328  99.75470 #>  [87466] 100.17485 100.26964  99.54396 100.18483  99.91496 100.09995  99.94498 #>  [87473]  99.49874 100.36932 100.11493 100.23971 100.14490  99.97000 100.46392 #>  [87480]  99.86992  99.91496  99.85489 100.02500  99.56405 100.30952  99.44345 #>  [87487] 100.18982  99.90996 100.26465 100.01500  99.81984 100.22974  99.64437 #>  [87494]  99.74969  99.41328  99.89995 100.64790  99.65440 100.10994  99.98000 #>  [87501]  99.93998  99.52387 100.39422  99.34787  99.73465  99.95999  99.89494 #>  [87508]  99.74467 100.10494 100.18483 100.46890 100.48383 100.12992 100.04999 #>  [87515] 100.33444  99.95499  99.64437 100.45397 100.21477 100.01500  99.88994 #>  [87522]  99.83987 100.18982  99.57911 100.59821 100.31451  99.78978 100.23472 #>  [87529]  99.98000 100.09995  99.93498 100.61809  99.64939 100.05998 100.06498 #>  [87536]  99.81483  99.74467 100.01000 100.05998  99.83987 100.39920  99.76472 #>  [87543] 100.24470 100.29955  99.48367 100.12492 100.06998 100.20479  99.31264 #>  [87550] 100.19980  99.57911  99.48367  99.70456 100.68764 100.16486 100.02500 #>  [87557]  99.75971 100.06998  99.91496  99.51382 100.16486  99.65942  99.69453 #>  [87564] 100.67770 100.21477 100.26465  99.64437  99.99000  99.94999 100.12492 #>  [87571] 100.00500 100.07997 100.19481 100.08996 100.29955  99.85489 100.00000 #>  [87578]  99.94999 100.02000 100.27462  99.91997  99.72462  99.55903 100.06998 #>  [87585]  99.67447  99.52387 100.21477 100.28460 100.45397 100.38924  99.72963 #>  [87592] 100.13491 100.38426 100.32447  99.90495  99.94498 100.36434 100.32447 #>  [87599]  99.79980  99.72462  99.95499 100.19481  99.65440  99.66444  99.64939 #>  [87606] 100.05498  99.90495 100.47885  99.19677  99.82485 100.13491  99.83486 #>  [87613] 100.22974  99.95999  99.77976 100.17485 100.09495  99.84488  99.51884 #>  [87620]  99.76973 100.14490  99.84488 100.05498 100.34441 100.37430  99.94999 #>  [87627] 100.27462 100.21976  99.77475 100.16986  99.76472 100.68267 100.08996 #>  [87634] 100.22475 100.20479 100.20479  99.98500 100.14989  99.30760  99.89494 #>  [87641] 100.70750 100.21477  99.76973  99.63433 100.21477 100.08996 100.47885 #>  [87648]  99.69955  99.89494 100.29955  99.76472  99.83486  99.69453  99.60422 #>  [87655] 100.01000  99.61928  99.35291  99.54898 100.23472 100.01000  99.83486 #>  [87662]  99.89995 100.50871  99.52387  99.97000  99.78477  99.93998 100.37430 #>  [87669] 100.01500 100.16486  99.64437  99.68450 100.12992  99.91496 100.59324 #>  [87676] 100.48383 100.07497 100.05998  99.68450  99.94498 100.04499  99.60924 #>  [87683]  99.71961  99.96499 100.11993 100.09995  99.76472  99.92998  99.52387 #>  [87690] 100.07497 100.26465  99.54898  99.67447  99.70456 100.12492 100.32447 #>  [87697]  99.79479  99.80481 100.03999 100.09995 100.04999 100.09995 100.06998 #>  [87704] 100.19980  99.94999 100.03000 100.10494  99.44848 100.37430 100.13491 #>  [87711] 100.02000 100.04499  99.78978  99.88493 100.23472  99.74467  99.97000 #>  [87718]  99.98000  99.70958 100.03999 100.51368  99.85489  99.88994 100.37430 #>  [87725]  99.95999  99.85489  99.96499 100.53855  99.68952  99.94999 100.58827 #>  [87732] 100.10494 100.46392 100.49378  99.71961 100.05498  99.56907  99.86491 #>  [87739] 100.52860 100.07997 100.03999 100.02000  99.91496  99.96499  99.90996 #>  [87746] 100.29457 100.26465  99.42837  99.89995 100.19481 100.17485 100.06498 #>  [87753] 100.27462  99.71961  99.94999 100.19980  99.87993 100.45895 100.36434 #>  [87760]  99.90996  99.64437 100.41912  99.55903  99.51382 100.25966 100.23971 #>  [87767] 100.18982  99.95999  99.57409 100.16986 100.47388  99.52889 100.35437 #>  [87774] 100.48383 100.02500  99.76472  99.54396  99.71961 100.44899 100.21477 #>  [87781]  99.50377 100.43904 100.23472 100.10994  99.78978 100.25468  99.53894 #>  [87788] 100.32946  99.54898 100.07497  99.95499 100.06498  99.94999  99.61426 #>  [87795] 100.12992  99.92497 100.02500 100.41912 100.04999  99.98500 100.63300 #>  [87802] 100.35437  99.74467 100.76210 100.29955 100.26465  99.64939 100.07497 #>  [87809] 100.49876 100.23472  99.69955 100.31451  99.79980  99.93998  99.54898 #>  [87816]  99.68952  99.55401 100.47885  99.95999 100.01500  99.84989  99.74467 #>  [87823]  99.76973  99.74467  99.60924 100.03499 100.46890 100.06998  99.85990 #>  [87830]  99.97000 100.11993 100.49876 100.03000 100.44401  99.92497 100.29955 #>  [87837]  99.68952 100.24969 100.08996  99.93498  99.84488  99.56907  99.76472 #>  [87844] 100.06998  99.72963  99.92497  99.68952  99.83486  99.99500  99.95499 #>  [87851] 100.12492 100.38924 100.01500  99.75971  99.58916 100.03499  99.92998 #>  [87858] 100.53358 100.03999  99.93498 100.30454 100.39920  99.55401 100.01000 #>  [87865] 100.43406  99.99500  99.80481  99.99000  99.66444 100.05498  99.91496 #>  [87872] 100.15488  99.80982 100.48383 100.02500 100.23971 100.02500  99.84989 #>  [87879]  99.39316 100.38426  99.69955  99.68952 100.26964 100.11493 100.09495 #>  [87886]  99.31767  99.39316 100.56838  99.16148 100.03000  99.67949  99.43842 #>  [87893] 100.12492 100.30952  99.42334  99.92998  99.93998  99.94999  99.89494 #>  [87900]  99.88994  99.43842  99.98000 100.39920  99.94498  99.55903 100.30454 #>  [87907]  99.47864  99.76973 100.46890 100.13990  99.62429  99.76472 100.11993 #>  [87914] 100.06998  99.88994  99.93998  99.70456  99.71459 100.47885 100.30952 #>  [87921] 100.45895  99.56907 100.06498  99.91997  99.75470  99.87492 100.14989 #>  [87928] 100.12992 100.30952  99.91496  99.84488  99.50879 100.17485  99.93498 #>  [87935] 100.28958 100.17485  99.77976 100.07997 100.26964  99.44345 100.53855 #>  [87942]  99.92998 100.32946  99.54898  99.97500  99.46859  99.34787  99.96499 #>  [87949]  99.91496 100.06498 100.19481  99.33277 100.03000  99.69955  99.64939 #>  [87956] 100.11493 100.23971 100.04999  99.72963 100.44401 100.12992  99.88994 #>  [87963]  99.66945 100.11493  99.88994  99.93498  99.71961  99.80481  99.88493 #>  [87970] 100.26964  99.89494 100.39422  99.89995  99.97000 100.30454  99.65440 #>  [87977]  99.87492 100.46392 100.28958 100.14490  99.88994  99.67447 100.31949 #>  [87984]  99.65942  99.73465 100.09995 100.35437 100.41414  99.72462 100.34939 #>  [87991] 100.10994 100.40418 100.11493  99.75971  99.63935 100.34441  99.67949 #>  [87998] 100.23472 100.49378 100.00500 100.16986  99.56405 100.28958 100.34441 #>  [88005]  99.66945 100.16486 100.20978  99.82485  99.54898 100.06998  99.92497 #>  [88012]  99.62429 100.17984  99.90996 100.10994  99.69453 100.14989 100.22974 #>  [88019]  99.61426  99.59418  99.76472 100.16986  99.93998  99.89494 100.44401 #>  [88026] 100.03999 100.03999  99.75971 100.15488 100.25468  99.58916  99.96499 #>  [88033] 100.31451  99.80982 100.10494  99.74969  99.70456  99.79479 100.26964 #>  [88040]  99.99000  99.72963  99.43842 100.57336  99.64437 100.55844  99.59418 #>  [88047]  99.81483  99.34787  99.50377  99.94498 100.19481 100.56341  99.99000 #>  [88054]  99.74467  99.74467 100.28958  99.59418 100.29457 100.42410 100.09995 #>  [88061] 100.23472  99.88493 100.24969 100.42410  99.46356  99.78978 100.04499 #>  [88068]  99.81984 100.04499 100.18483 100.54850 100.08996  99.86491 100.35437 #>  [88075]  99.72963  99.85990 100.03499  99.94999  99.98500  99.72462  99.85489 #>  [88082] 100.48881 100.06998  99.93498 100.40916  99.49372 100.10994 100.30454 #>  [88089]  99.76973 100.11493  99.72963 100.20479  99.97500 100.03999  99.88493 #>  [88096]  99.81984 100.13990 100.17984 100.92572  99.73465  99.60422 100.55347 #>  [88103] 100.02500  99.74467 100.06998 100.13990 100.41912  99.57911  99.99000 #>  [88110] 100.16486  99.69955 100.17485  99.73966 100.16486  99.58414  99.70958 #>  [88117] 100.14490 100.11493 100.03000 100.29955  99.80982  99.85489 100.10994 #>  [88124]  99.76472 100.19481 100.30952  99.87492 100.03999 100.32447 100.11993 #>  [88131]  99.94498  99.56907 100.04499  99.74969  99.69453  99.76472 100.19481 #>  [88138] 100.03000 100.03000  99.91496  99.95999  99.57911 100.43904  99.91997 #>  [88145]  99.76973 100.24470 100.09495  99.45853  99.44345  99.90495  99.53894 #>  [88152]  99.51884  99.52889 100.03499 100.48881 100.21477 100.16986 100.18982 #>  [88159] 100.05498  99.92998 100.37430 100.28460 100.33444  99.61426  99.97000 #>  [88166] 100.06998  99.88994 100.05998  99.70958  99.94498 100.48881 100.03000 #>  [88173] 100.09995  99.73966  99.87492 100.50373 100.26964 100.39920 100.22974 #>  [88180]  99.82485  99.58916 100.32946  99.67949  99.82986  99.71459  99.77475 #>  [88187]  99.54898  99.85990 100.13990  99.98500 100.25966  99.92998 100.13491 #>  [88194]  99.92497  99.66444  99.85489  99.48869  99.70456 100.24470  99.88493 #>  [88201]  99.62931 100.12492 100.03999  99.73465  99.99500  99.42837  99.87492 #>  [88208]  99.95499  99.77976  99.91997 100.18982 100.24470  99.88493  99.75971 #>  [88215] 100.02000  99.87492 100.14989  99.91997  99.56907  99.63433  99.37303 #>  [88222]  99.86491  99.61928  99.63935 100.33942  99.70958 100.08496 100.20978 #>  [88229]  99.88493 100.11493 100.04999  99.86491  99.69955 100.73728  99.69955 #>  [88236]  99.73966  99.66444 100.53358  99.51884 100.23472  99.75470  99.98000 #>  [88243]  99.69955 100.29457  99.99000 100.07497 100.08996  99.72963  99.82986 #>  [88250] 100.02500 100.04999 100.27961 100.60318 100.09995  99.91496  99.98000 #>  [88257]  99.63433  99.71961  99.70456  99.58414  99.94498  99.58414  99.85489 #>  [88264]  99.79980 100.32447  99.79980 100.16486 100.29457  99.75971 100.03499 #>  [88271] 100.01000 100.43406 100.04999  99.57911 100.09995  99.78978  99.47864 #>  [88278] 100.20978  99.87993 100.03999  99.81984 100.45895 100.45895 100.24969 #>  [88285] 100.20978  99.74467  99.86491  99.45853 100.30454 100.10994  99.84488 #>  [88292] 100.07497  99.58916  99.96499 100.14490  99.89494  99.85990 100.26465 #>  [88299]  99.86491 100.11493 100.25966 100.46392  99.95999 100.22475 100.11493 #>  [88306] 100.18982 100.21976 100.13491 100.22475  99.99000  99.78978 100.51368 #>  [88313]  99.84488  99.50879 100.18982  99.87993 100.19481  99.68952  99.85489 #>  [88320] 100.13491  99.73465 100.14989  99.54898  99.90996  99.96499  99.65440 #>  [88327]  99.73966 100.38426 100.08996  99.99500  99.91496 100.43406  99.60924 #>  [88334] 100.26964 100.24969 100.06998 100.09495 100.07497 100.55347  99.68450 #>  [88341] 100.04999  99.77475 100.46890 100.20978  99.80982  99.87993  99.79980 #>  [88348] 100.51865 100.40916  99.75470  99.65440 100.08996  99.96499 100.22475 #>  [88355]  99.75971 100.20978 100.52860  99.97500  99.61426  99.97000  99.51382 #>  [88362]  99.85990  99.92998 100.26465  99.93998  99.41328 100.35437  99.83486 #>  [88369] 100.23971 100.23971 100.00500  99.86491  99.62429 100.23971 100.14490 #>  [88376] 100.37430 100.22974 100.38426 100.68764 100.22475  99.49874  99.73966 #>  [88383]  99.80481 100.68267 100.50373 100.26964 100.04499 100.07497  99.51382 #>  [88390] 100.36932 100.28958  99.97000 100.27961 100.37430  99.43339 100.03499 #>  [88397] 100.01500  99.98000  99.63433  99.70456  99.89494 100.36434  99.73966 #>  [88404]  99.78978 100.05998 100.19980 100.05498 100.29457  99.77475  99.91997 #>  [88411]  99.83987  99.34787 100.18982 100.03999  99.97500 100.58330 100.23472 #>  [88418]  99.45853  99.72963  99.78477  99.45853 100.04499 100.14989  99.66444 #>  [88425]  99.75470 100.22974  99.95499 100.25468 100.24470  99.77976 100.46392 #>  [88432]  99.83486  99.89995  99.98000 100.29955  99.90996  99.80982 100.30952 #>  [88439] 100.20479 100.00500  99.58414 100.28460  99.77976 100.20479  99.78978 #>  [88446] 100.10994 100.25966  99.85990  99.77475 100.11493  99.82986  99.86491 #>  [88453]  99.99500 100.41912  99.79479 100.04999  99.55903 100.13990  99.85489 #>  [88460] 100.26465 100.02000 100.17485  99.69453 100.22475 100.39422  99.38310 #>  [88467] 100.15488  99.42334  99.85489  99.82986  99.87993  99.88493  99.80481 #>  [88474] 100.00000 100.33444  99.65942  99.61928  99.98000  99.51884 100.01500 #>  [88481] 100.18982 100.57833  99.74969 100.36932 100.40418 100.34939 100.40418 #>  [88488]  99.66444 100.31451 100.41912  99.88994 100.03499  99.58414 100.14989 #>  [88495] 100.34939  99.72963  99.93998 100.27462 100.33444 100.32946  99.66945 #>  [88502] 100.17485 100.30952  99.99500  99.83987 100.01500  99.54898  99.54898 #>  [88509]  99.86491 100.07997 100.53358  99.75971  99.85489 100.25468 100.01500 #>  [88516] 100.11493  99.52889 100.17485  99.84488  99.72963  99.91496  99.91496 #>  [88523] 100.26964  99.52387 100.47388  99.62429 100.00500  99.76472  99.51382 #>  [88530]  99.75971 100.02000  99.62931  99.95999 100.31949 100.00000  99.97500 #>  [88537] 100.56341 100.02000 100.40418 100.01000  99.95499 100.45895  99.90495 #>  [88544]  99.89494 100.26964 100.09495 100.52363 100.36932 100.00000 100.26465 #>  [88551] 100.10994 100.21976  99.81483  99.77475  99.81984  99.52889  99.76973 #>  [88558]  99.65440  99.76472  99.81984  99.46859  99.74467  99.96499 100.16486 #>  [88565]  99.40322  99.50377 100.08996  99.37807 100.06498 100.05498  99.40322 #>  [88572]  99.94498 100.38924 100.31451  99.87492 100.16986  99.97500 100.41912 #>  [88579]  99.98500  99.71961 100.30454 100.52860 100.22974  99.71459  99.30257 #>  [88586]  99.86491  99.60924 100.06498  99.91997  99.34787  99.76973  99.71459 #>  [88593]  99.68952  99.66945  99.85489  99.61928  99.61426  99.93498 100.03999 #>  [88600]  99.88994  99.89494  99.98000 100.03499  99.48367  99.96499  99.93998 #>  [88607]  99.85489 100.38924  99.87993  99.80481  99.60422  99.53894  99.67447 #>  [88614] 100.44401 100.01000  99.64939 100.59324  99.76973 100.03499  99.82986 #>  [88621] 100.02000  99.66945 100.31949 100.34441  99.88493 100.06998 100.18982 #>  [88628]  99.79479  99.48869 100.26465  99.98500  99.88493  99.94498  99.75971 #>  [88635] 100.35437  99.99000 100.15987 100.38426 100.12492  99.83486 100.06998 #>  [88642] 100.20978  99.95999 100.43406  99.97500 100.35935 100.59821 100.06998 #>  [88649]  99.46859  99.63433  99.98000  99.97000 100.11493 100.13990  99.77976 #>  [88656] 100.46392  99.86992 100.27462 100.01000  99.94498 100.10494  99.89995 #>  [88663]  99.79980 100.49876  99.76973  99.92497  99.94498 100.37430 100.07497 #>  [88670]  99.77976 100.24969  99.88493 100.03999 100.35935 100.03999  99.93498 #>  [88677] 100.21477 100.08996  99.84989 100.04999  99.85990 100.26465 100.51368 #>  [88684]  99.76973  99.70456  99.50377  99.71961 100.34441  99.64437 100.31949 #>  [88691] 100.39920  99.68450 100.32447  99.76472  99.84488 100.25468 100.07497 #>  [88698] 100.30952 100.10494 100.21976 100.07997  99.54396  99.92998 100.19980 #>  [88705]  99.77475 100.05998 100.07997 100.38924  99.62429 100.17485 100.36434 #>  [88712] 100.21976  99.80982 100.28460 100.07997  99.92998  99.85990  99.75971 #>  [88719]  99.73966 100.26964  99.81483  99.85990 100.71743  99.91496 100.38924 #>  [88726] 100.08496 100.41912  99.97000  99.88994  99.88493  99.87993  99.73966 #>  [88733] 100.33942 100.48383  99.75470 100.25966 100.35437 100.34441 100.02000 #>  [88740]  99.55401 100.21477 100.29955  99.90996  99.94498  99.29250  99.62429 #>  [88747]  99.82485 100.06998 100.35437  99.84989 100.28460 100.29955 100.23472 #>  [88754] 100.19980 100.10494 100.17984  99.84989 100.50373  99.91496 100.04999 #>  [88761] 100.16986 100.53855  99.68450  99.98000 100.27961  99.46859  99.77976 #>  [88768] 100.33942  99.95499  99.88994  99.78978  99.73966 100.38924 100.56341 #>  [88775] 100.22475  99.97000 100.05498 100.29457  99.71961 100.67770 100.14490 #>  [88782]  99.94498 100.09495 100.05998  99.92497  99.55401  99.93498  99.58916 #>  [88789] 100.19980  99.79479  99.84989 100.19980  99.93498 100.17485  99.38310 #>  [88796]  99.99500 100.24470  99.86992 100.03499 100.15987  99.49874  99.93498 #>  [88803]  99.52387 100.25966 100.49876 100.13491 100.19980  99.99000 100.20978 #>  [88810]  99.87492 100.08996  99.77475  99.94999 100.17984 100.32946  99.79479 #>  [88817] 100.15987  99.72963 100.02500 100.48383 100.08996 100.14490 100.26465 #>  [88824]  99.64939 100.42410 100.34441  99.50879  99.64437  99.62429  99.27739 #>  [88831] 100.32946  99.74467 100.22974  99.72963  99.55401  99.49372  99.71961 #>  [88838] 100.14490 100.03499  99.92497  99.86992  99.85489  99.98500  99.99500 #>  [88845] 100.32447 100.35935  99.50879 100.03499  99.85990 100.53855 100.39422 #>  [88852]  99.73465 100.11493  99.59418 100.01500 100.17984 100.10494  99.98000 #>  [88859]  99.84488  99.98000  99.85489  99.95999 100.21976 100.13491  99.91496 #>  [88866] 100.13491 100.46392 100.13990  99.93498 100.28460  99.56907 100.60815 #>  [88873]  99.88994  99.86992  99.65440  99.79980 100.03000 100.06998 100.23472 #>  [88880]  99.51382  99.95499 100.15488 100.41912 100.22974 100.23971 100.11493 #>  [88887] 100.41912  99.81483  99.78477  99.74969 100.33942 100.14989  99.83486 #>  [88894] 100.32946 100.01500 100.10494 100.35437  99.75971  99.87993  99.66945 #>  [88901]  99.93498  99.71961 100.60318 100.62803 100.28460 100.02500 100.05998 #>  [88908] 100.08996  99.77475 100.04499 100.24470  99.83486 100.41912  99.98500 #>  [88915] 100.16986  99.65440  99.87993  99.76973  99.89494  99.86491  99.57409 #>  [88922]  99.86992  99.84488 100.01000 100.35935 100.02000  99.81984 100.05998 #>  [88929] 100.05498 100.46890 100.14490  99.68952  99.48367 100.02500  99.93998 #>  [88936]  99.80481  99.98500  99.80982  99.63935 100.34939  99.60422  99.52889 #>  [88943]  99.88493  99.62931  99.87993 100.34441 100.41912 100.21976 100.60815 #>  [88950]  99.68952  99.79980  99.37303 100.34939  99.67447 100.11493 100.10494 #>  [88957]  99.56907 100.02500  99.77976 100.46890 100.39920  99.87993  99.42334 #>  [88964]  99.71459  99.44848  99.78978 100.52363  99.88493  99.67447  99.76973 #>  [88971] 100.35437  99.86992 100.35437 100.15987  99.82485  99.68450  99.62931 #>  [88978]  99.76973 100.12992 100.17984 100.83650 100.05498 100.12492 100.16986 #>  [88985] 100.50871 100.03000 100.11493  99.58414 100.21976  99.20181  99.45853 #>  [88992]  99.68450  99.88493  99.70456 100.04499 100.18483  99.80481 100.20978 #>  [88999]  99.81483 100.20479  99.77976  99.84989  99.80982  99.77976 100.00000 #>  [89006] 100.01000 100.15987  99.81984  99.98500 100.22475 100.01500 100.38924 #>  [89013]  99.93998 100.00500 100.03000 100.26964  99.61928  99.70456 100.39920 #>  [89020]  99.90996 100.20978  99.72462 100.52363  99.87492  99.78477  99.85489 #>  [89027]  99.81483  99.84989  99.73966 100.34939 100.30952  99.62931  99.70958 #>  [89034]  99.40825 100.10494 100.29457  99.95999 100.21976  99.62429 100.30952 #>  [89041]  99.94498 100.03999  99.75470 100.05998  99.76973  99.81984 100.12492 #>  [89048] 100.50373  99.99000 100.13491 100.02500  99.69453 100.03999 100.34441 #>  [89055]  99.86992 100.25468 100.60815  99.55401 100.36434 100.14490  99.81984 #>  [89062]  99.77475  99.90996 100.08496 100.03499 100.07997  99.92998 100.46392 #>  [89069]  99.83987 100.05498  99.53391  99.98500  99.86992  99.81984 100.35935 #>  [89076] 100.20479  99.80481  99.46356 100.60318  99.49874 100.20479  99.99000 #>  [89083] 100.60815 100.05498 100.03999 100.02500  99.91997  99.59920 100.33444 #>  [89090]  99.88994 100.28460 100.07997 100.19980 100.05498  99.84989 100.11493 #>  [89097]  99.87993 100.23472 100.27961  99.84488 100.09495 100.01000 100.41912 #>  [89104] 100.15488 100.45895 100.33444 100.30454  99.97500  99.57911  99.58414 #>  [89111] 100.05498  99.78978 100.27462 100.24969  99.70456 100.21477  99.93498 #>  [89118]  99.88994  99.69453 100.48383  99.69955  99.62931 100.21477 100.22475 #>  [89125]  99.37303  99.89995  99.94498  99.93998 100.13491  99.85489 100.00000 #>  [89132]  99.94498  99.97500 100.54352  99.68952  99.54898  99.95999  99.32774 #>  [89139]  99.72963 100.22974 100.17984  99.90996  99.97000 100.18483  99.54396 #>  [89146] 100.61312  99.87492 100.28460 100.04999 100.02000  99.82986 100.11993 #>  [89153] 100.03999  99.97500 100.48881  99.70958  99.89494  99.89995 100.50373 #>  [89160]  99.74969 100.45397  99.56405 100.33942  99.74467  99.64939 100.54850 #>  [89167] 100.08496 100.03999  99.60422  99.87993  99.83987  99.53894 100.10494 #>  [89174]  99.69955 100.04499 100.23472 100.23971 100.41414 100.14490  99.91997 #>  [89181] 100.41414 100.51368  99.81984 100.09995 100.13990 100.22974 100.02000 #>  [89188] 100.35935  99.92998  99.51884  99.71961 100.03000  99.87993 100.17485 #>  [89195]  99.89995  99.96499 100.19980  99.84989  99.76973  99.90495  99.90495 #>  [89202] 100.24969 100.56838 100.04499 100.10994 100.09495  99.82485 100.02000 #>  [89209]  99.75971 100.04999 100.05498 100.07497  99.85489 100.35935  99.71459 #>  [89216] 100.07497  99.78978  99.98500  99.98000  99.99500  99.88994  99.67447 #>  [89223] 100.34441 100.05998  99.56405 100.38426  99.69955  99.57409 100.39920 #>  [89230] 100.33444 100.05998 100.07497 100.02000 100.13491  99.79980 100.28958 #>  [89237]  99.93998  99.90996  99.41831  99.74969 100.22974  99.72462 100.19481 #>  [89244]  99.72963  99.56405  99.40322 100.13491 100.07997 100.04999 100.15488 #>  [89251]  99.50879 100.37928  99.44848 100.52860 100.05998  99.63433  99.90996 #>  [89258]  99.58916 100.14989 100.20978  99.84989  99.79980  99.48869  99.84989 #>  [89265]  99.90996  99.89494  99.77475 100.12992  99.68450 100.33444  99.76472 #>  [89272] 100.01500  99.78477  99.50377 100.34939  99.62429  99.90996  99.84989 #>  [89279]  99.60924  99.83486  99.96499 100.22974 100.47388  99.89494  99.93498 #>  [89286]  99.87993  99.87993  99.73465 100.10994  99.65942  99.62931 100.03000 #>  [89293] 100.09495 100.20479 100.07997  99.82986 100.70253  99.84488 100.59324 #>  [89300]  99.90495 100.29955 100.12992 100.03000 100.27961 100.23971  99.93498 #>  [89307]  99.64939  99.90996  99.99000  99.82986 100.32447 100.19481  99.98500 #>  [89314] 100.06498 100.06498 100.56341  99.72963 100.04999 100.41414 100.36932 #>  [89321] 100.12992  99.48367  99.95999  99.71459 100.30454 100.00500 100.22974 #>  [89328] 100.47885  99.83987 100.00000  99.95499 100.01500  99.93998 100.34939 #>  [89335]  99.90495  99.81984 100.40916  99.73465 100.15987 100.55347  99.44848 #>  [89342] 100.55844 100.40418  99.94999 100.09995  99.80982 100.25468  99.85990 #>  [89349]  99.85489 100.01000 100.50871  99.98000  99.91496  99.69453  99.99500 #>  [89356]  99.79980  99.38813 100.30454 100.00000  99.95499 100.48881  99.83486 #>  [89363] 100.12992 100.16986 100.28958  99.78477  99.57911  99.98000  99.99500 #>  [89370] 100.23472  99.46859  99.88994  99.83987  99.72963  99.86992  99.77475 #>  [89377] 100.05998  99.88493 100.33444 100.27961  99.42837 100.36932  99.59418 #>  [89384] 100.23971 100.10994 100.37928 100.11493  99.17661 100.26964 100.00500 #>  [89391]  99.68450  99.42837 100.19481  99.75971  99.90996 100.54850 100.16986 #>  [89398]  99.82485 100.28958  99.73966 100.41414  99.61928 100.24470 100.61809 #>  [89405] 100.09495  99.80481 100.35935  99.64939 100.18982 100.51865 100.17485 #>  [89412] 100.11993  99.86491 100.35437 100.04999  99.89995 100.22475  99.35291 #>  [89419] 100.06998  99.86491 100.06998 100.22974  99.68450  99.75470 100.02500 #>  [89426] 100.18982 100.48383  99.56907  99.88493  99.95999 100.23472 100.45895 #>  [89433] 100.18982  99.74969  99.61426  99.52889 100.21976 100.32447  99.71459 #>  [89440]  99.99000 100.31451  99.81984  99.95499  99.75470 100.20479  99.68952 #>  [89447] 100.78194  99.60422  99.77475  99.26732 100.00500  99.43339 100.35437 #>  [89454]  99.98500 100.39422  99.76472  99.71961  99.58414 100.29457 100.19481 #>  [89461]  99.44345  99.75470  99.75470 100.39920 100.36932  99.49874 100.14490 #>  [89468] 100.19481  99.55401 100.59324  99.79980 100.02000 100.29955  99.77976 #>  [89475] 100.12492 100.07997  99.81984  99.68450  99.79479  99.68450  99.64437 #>  [89482]  99.86491 100.21976  99.81984 100.46392 100.04499 100.55844  99.71459 #>  [89489]  99.95499 100.22475 100.35437 100.09995  99.80982  99.74467 100.07497 #>  [89496]  99.96499  99.83486 100.21976  99.72462 100.47388 100.11993 100.56341 #>  [89503] 100.50871  99.82485 100.30454  99.39819 100.10494  99.44848  99.93998 #>  [89510] 100.23971 100.06998 100.30952 100.30454  99.60924  99.77976 100.54850 #>  [89517]  99.70958  99.83486 100.02500  99.50377 100.25966 100.50373 100.17485 #>  [89524] 100.58827  99.91496 100.05498  99.33277 100.42908 100.18982  99.94498 #>  [89531] 100.31451  99.64437 100.44899  99.57911 100.47885 100.19980  99.99000 #>  [89538] 100.17485 100.08996 100.12492  99.29250 100.53855 100.41414  99.84989 #>  [89545]  99.98500 100.05498  99.99500  99.97500  99.43842  99.89494  99.79479 #>  [89552]  99.85990  99.70958 100.18982 100.10994 100.30952  99.80982 100.16486 #>  [89559]  99.90495 100.28958 100.09995  99.83486  99.45351  99.58916 100.03000 #>  [89566]  99.53391  99.97000  99.50377 100.28460 100.40418  99.95999  99.91997 #>  [89573]  99.83486  99.47361 100.60815  99.68450  99.45853 100.64790  99.37807 #>  [89580] 100.46890  99.81984  99.52387  99.82485 100.42410  99.54396 100.19980 #>  [89587]  99.67949  99.95499 100.16486 100.17485 100.28460 100.19481 100.06998 #>  [89594] 100.03499 100.20479  99.63935 100.06998  99.74467  99.93998  99.91496 #>  [89601]  99.95999  99.75971  99.91496  99.97000 100.55844 100.31949 100.45397 #>  [89608] 100.36932 100.05998 100.30952 100.10994  99.85489  99.13123  99.52889 #>  [89615] 100.00000  99.83486 100.02000  99.81984 100.05998  99.84989  99.97000 #>  [89622] 100.23472 100.03999 100.16486  99.90996 100.26964 100.03000 100.29457 #>  [89629] 100.02500 100.29457 100.15987  99.92497  99.87993  99.94498 100.19481 #>  [89636]  99.75971 100.13990 100.25468 100.34939 100.38426 100.10494 100.43904 #>  [89643]  99.91997 100.07997 100.09495 100.22475 100.80675 100.13990  99.68450 #>  [89650]  99.90996 100.04499 100.02500  99.77976  99.99000 100.09495  99.71459 #>  [89657]  99.83486  99.96499 100.13491 100.11493 100.18483 100.12492 100.31451 #>  [89664] 100.37430  99.60422 100.26964 100.42410  99.80481  99.61426  99.57911 #>  [89671]  99.82485  99.33277  99.88493  99.83486  99.54396 100.32946 100.29457 #>  [89678] 100.38924 100.36932  99.59418 100.12492  99.96499 100.59821  99.80982 #>  [89685]  99.71961 100.26465 100.31451 100.00500  99.96499 100.01000 100.06998 #>  [89692] 100.01000 100.27961  99.91997 100.23472 100.15488 100.03499  99.58916 #>  [89699]  99.79980  99.55903 100.30454 100.31451 100.31949  99.85489  99.68952 #>  [89706]  99.70456  99.60924 100.23472  99.39316 100.88112 100.23472  99.97000 #>  [89713] 100.04499  99.32271  99.80481  99.77475  99.65942  99.97500  99.54898 #>  [89720] 100.08996  99.83987 100.17485  99.94999 100.47388 100.03999 100.05998 #>  [89727] 100.27462 100.20479  99.43842  99.97500  99.55401 100.19481 100.64790 #>  [89734] 100.02500  99.58414  99.73465  99.70958 100.72239  99.74467 100.09995 #>  [89741] 100.08996  99.82485  99.78477  99.68952  99.51382 100.04499 100.35437 #>  [89748]  99.68450  99.68450  99.74969  99.81483  99.89494  99.64939 100.34939 #>  [89755] 100.24470 100.03000  99.86992  99.68450  99.70456  99.69453  99.59920 #>  [89762] 100.28460 100.00500  99.80982 100.03999  99.99000 100.06998  99.39819 #>  [89769] 100.28460 100.19980  99.75971 100.40916  99.39819  99.50879  99.81483 #>  [89776] 100.31451 100.31451 100.23971  99.74467 100.17485  99.70958  99.68450 #>  [89783]  99.89494 100.00000  99.94498 100.26964  99.85990  99.88493  99.93498 #>  [89790] 100.23971 100.25966  99.85489  99.35291  99.71961  99.68952  99.62429 #>  [89797] 100.27462 100.27462 100.36932  99.93498  99.98000 100.06498  99.86992 #>  [89804] 100.14989 100.60318 100.13491 100.07997  99.83486 100.15488 100.23472 #>  [89811]  99.94498  99.88994 100.04999 100.11493 100.18483  99.94498 100.01000 #>  [89818]  99.68952  99.88994  99.97500 100.00500  99.75470 100.08496  99.74467 #>  [89825] 100.48881 100.18483  99.57409 100.54352 100.08996  99.64437 100.53358 #>  [89832]  99.85489 100.03999  99.97000 100.17984 100.12992 100.00000 100.42410 #>  [89839] 100.19980  99.83486  99.72462  99.60422 100.39422 100.50871  99.93998 #>  [89846]  99.71459  99.93498 100.03499 100.30952 100.17984 100.00000  99.97500 #>  [89853] 100.30454 100.39920 100.13491  99.73465 100.66280 100.31451  99.98000 #>  [89860]  99.66945  99.86491  99.76973 100.16486  99.51884 100.71246  99.99500 #>  [89867]  99.87993 100.32447  99.40322  99.88994 100.03999 100.20479  99.88994 #>  [89874]  99.47361  99.59418  99.62931  99.99000 100.15987 100.14989 100.03999 #>  [89881] 100.29457 100.03999  99.77475  99.85489 100.02000 100.53855 100.03000 #>  [89888] 100.19481  99.99500 100.13990 100.33444  99.59920 100.51865 100.02000 #>  [89895] 100.34939 100.74721  99.73966 100.10494  99.73465  99.50377 100.03499 #>  [89902]  99.72963 100.35437 100.60815 100.38924  99.56405 100.27462 100.57336 #>  [89909] 100.18982 100.09495  99.69955  99.74467 100.53855  99.98000  99.81984 #>  [89916]  99.87492  99.77475 100.03999  99.57911  99.81984 100.12492  99.66945 #>  [89923] 100.06498 100.07997  99.90495 100.23971 100.31949  99.75971  99.96499 #>  [89930] 100.07997  99.84989  99.48367  99.84989 100.08496 100.00500 100.12492 #>  [89937] 100.06498  99.87993 100.05998  99.49372 100.03499 100.21976  99.78978 #>  [89944]  99.69955 100.09495  99.81483  99.90996 100.16986  99.81483 100.34441 #>  [89951]  99.65440  99.84488  99.36297  99.75971  99.77475  99.77976 100.16486 #>  [89958]  99.74467  99.44345 100.06998  99.33277 100.42410 100.25468 100.02000 #>  [89965]  99.48869  99.78477  99.61928  99.89995 100.71246  99.78978 100.31949 #>  [89972] 100.09995 100.10494 100.54352 100.23971 100.33444 100.35935 100.08496 #>  [89979]  99.22701 100.12492 100.23472 100.24470 100.35437 100.19980  99.87993 #>  [89986]  99.78477 100.02500 100.60318 100.04999 100.22974 100.08996  99.64939 #>  [89993]  99.74467 100.00500  99.84989 100.30454  99.88994 100.35437  99.92998 #>  [90000]  99.96499 100.05998  99.99000  99.56907 100.79186 100.23472  99.74467 #>  [90007]  99.93498  99.83987  99.60422  99.68952  99.67949  99.73465 100.32447 #>  [90014]  99.85990 100.20479 100.06998  99.25724 100.04999 100.02000 100.21976 #>  [90021] 100.07997 100.32447  99.74969 100.25468 100.42908  99.77976  99.92497 #>  [90028]  99.55903  99.57911  99.94999 100.14490  99.57911  99.82485 100.40916 #>  [90035]  99.99500 100.20978 100.03999  99.99000 100.19980  99.91496  99.73465 #>  [90042]  99.80481  99.82485 100.38924  99.75470 100.41414  99.74467 100.29457 #>  [90049]  99.87993  99.87993  99.84989 100.43406  99.79980 100.03000  99.43842 #>  [90056]  99.95499 100.15987  99.84488 100.12492 100.18982 100.08496 100.26964 #>  [90063] 100.20479 100.59324  99.84488  99.89494  99.80982  99.52889  99.82986 #>  [90070]  99.88493  99.95999 100.46890  99.70456 100.01500 100.25468 100.12992 #>  [90077] 100.37928  99.44848 100.16486  99.72963  99.97000 100.03499 100.44401 #>  [90084]  99.66444 100.42908  99.89494  99.50879 100.21477 100.22974 100.27961 #>  [90091]  99.99000  99.61928  99.55903 100.40418  99.99000  99.94498  99.51382 #>  [90098]  99.57911 100.18982 100.16986 100.06498  99.58916 100.09495  99.84989 #>  [90105]  99.89995  99.74467  99.95999 100.32447  99.69955  99.90996 100.45895 #>  [90112]  99.89494 100.13491 100.54352 100.20479 100.20479 100.02500 100.14989 #>  [90119] 100.18483 100.06998 100.36434 100.03999  99.77976  99.78477  99.62429 #>  [90126] 100.28958 100.17485  99.83486 100.05998 100.09495 100.03999  99.78477 #>  [90133]  99.72462 100.26964 100.12492 100.49378 100.46392 100.07997  99.88493 #>  [90140]  99.75971  99.61928  99.87993 100.20978  99.68450 100.46890 100.51368 #>  [90147]  99.77475  99.42837  99.68952  99.68450  99.95999 100.35935  99.97500 #>  [90154] 100.09995  99.71961 100.43406 100.28460  99.85489  99.40825 100.24470 #>  [90161]  99.85990 100.28460 100.17485  99.84488  99.54396  99.46859 100.32946 #>  [90168] 100.17984 100.38426 100.09995 100.10494 100.04499 100.84146  99.80481 #>  [90175] 100.13990  99.99000  99.82485 100.03999  99.74969  99.72963  99.94498 #>  [90182]  99.80982 100.15488  99.94498 100.12992 100.02000  99.28746  99.80982 #>  [90189] 100.13491  99.81984  99.68450 100.36434 100.16486  99.76973 100.44899 #>  [90196] 100.05498  99.86992 100.20978 100.47885  99.86992 100.19980  99.60924 #>  [90203] 100.22974  99.38310 100.10994  99.59418 100.18483  99.72462 100.02000 #>  [90210]  99.75971 100.27462 100.00500  99.94999  99.85990  99.76472 100.13491 #>  [90217] 100.13990  99.87993  99.46859  99.68450  99.70456  99.92497 100.18982 #>  [90224] 100.14490  99.91997 100.09995 100.46392 100.52363  99.72462  99.99000 #>  [90231] 100.29457  99.95999  99.97000  99.39819 100.62803 100.10994  99.87492 #>  [90238] 100.15987  99.34284  99.91496 100.36434  99.56907  99.90495  99.45853 #>  [90245]  99.82986  99.94498  99.87993 100.28958  99.97500 100.08996  99.67949 #>  [90252]  99.64437  99.89494  99.42334 100.18982  99.22197  99.94999  99.72462 #>  [90259] 100.15488 100.24470 100.24969 100.12992 100.56341 100.05998  99.59418 #>  [90266] 100.45397  99.87993  99.66945 100.23971  99.77976  99.92998 100.03499 #>  [90273]  99.67949  99.94498  99.98500  99.70456 100.50871 100.17485  99.58414 #>  [90280]  99.88994 100.27462  99.55903  99.92998  99.98500  99.77976  99.77475 #>  [90287]  99.91496  99.84989 100.22974 100.02500  99.67949  99.49372 100.73232 #>  [90294]  99.82986  99.78477  99.88994  99.49874 100.29457  99.84488  99.99000 #>  [90301] 100.01500 100.21976 100.24969  99.83987  99.83987  99.80481 100.02500 #>  [90308] 100.31451  99.88493 100.28460  99.85990 100.32447  99.70456  99.84488 #>  [90315]  99.86992 100.06998  99.95999  99.73966  99.72963  99.88493  99.80982 #>  [90322] 100.54850  99.84488  99.88994 100.08996  99.75470  99.81483 100.49876 #>  [90329]  99.74969 100.52363 100.08496 100.07497  99.44345  99.86992 100.33444 #>  [90336]  99.91496 100.56341  99.80982 100.52363  99.91997  99.78477  99.53894 #>  [90343]  99.92998  99.53391  99.85990 100.21976 100.45397  99.86992 100.13491 #>  [90350] 100.57833  99.72462  99.76472 100.35437  99.76472  99.94498 100.03499 #>  [90357]  99.94498 100.15987 100.21477  99.59418 100.24470 100.29955  99.80982 #>  [90364]  99.79980  99.90996  99.49372 100.09995 100.31451  99.62429  99.80982 #>  [90371] 100.17485  99.83486 100.39422 100.15987  99.97500  99.90495  99.25724 #>  [90378] 100.06998 100.14490  99.60422  99.99000  99.81984  99.73465  99.64939 #>  [90385] 100.46890  99.89494 100.46890  99.67949  99.98000  99.65440 100.32447 #>  [90392] 100.13491 100.30454  99.49372  99.77475  99.64939 100.24969 100.45397 #>  [90399] 100.04999 100.07997  99.56405 100.23971  99.97500  99.61928 100.18483 #>  [90406] 100.42410  99.95999 100.07997 100.29457 100.44899 100.48383  99.75971 #>  [90413]  99.62931  99.98000 100.07997  99.70456 100.22475  99.47361  99.77976 #>  [90420] 100.13990 100.02000  99.65942  99.33277 100.44401  99.59920  99.90996 #>  [90427]  99.66945  99.92998  99.94999 100.13990 100.31451  99.90495 100.00500 #>  [90434] 100.24470  99.79479  99.58916  99.68450 100.20479  99.71459 100.32447 #>  [90441] 100.33942 100.03000  99.90996 100.46890  99.95499  99.48367  99.98500 #>  [90448]  99.74467 100.20479  99.67949 100.20479  99.95499 100.58330 100.24470 #>  [90455]  99.94498 100.11493 100.33444  99.84488 100.54352  99.56405 100.46392 #>  [90462]  99.93498 100.04499  99.72963 100.14490  99.81483 100.54850  99.93498 #>  [90469]  99.88493 100.32447 100.17984  99.82986 100.02500 100.02500  99.98000 #>  [90476]  99.92497 100.16486  99.42837  99.71459  99.88994  99.92998 100.16486 #>  [90483]  99.64939  99.91496  99.88994 100.28460 100.54850  99.66444 100.21976 #>  [90490] 100.06998 100.33942 100.26465  99.87993 100.08496  99.71459  99.57409 #>  [90497]  99.58414  99.37807 100.07997  99.60422 100.10994  99.74969 100.28460 #>  [90504] 100.18982 100.10494  99.99000 100.39422 100.51368 100.26465 100.16486 #>  [90511]  99.91997  99.87492  99.93498 100.06498  99.86992 100.18982 100.36932 #>  [90518]  99.71459 100.20978  99.79479  99.75470  99.73465  99.99000 100.03499 #>  [90525]  99.93998 100.42908 100.47388  99.66945  99.94999  99.81483 100.09495 #>  [90532]  99.84989  99.92998 100.01000  99.76973  99.99000  99.43842 100.28460 #>  [90539] 100.09995 100.59821 100.37430  99.51884 100.58330  99.83486  99.52889 #>  [90546]  99.68450 100.48383 100.15987  99.26732  99.88493  99.42334 100.72735 #>  [90553] 100.22475 100.09495 100.34441  99.77976 100.17984  99.74969  99.90996 #>  [90560] 100.17984  99.70456  99.73465  99.88994  99.93498 100.47885  99.92998 #>  [90567]  99.67949  99.72963  99.60422 100.04499 100.12992 100.12992  99.80481 #>  [90574] 100.11993 100.31451  99.58916  99.61426 100.08496 100.37430  99.83486 #>  [90581] 100.38924  99.89494  99.83987  99.87492 100.17485 100.05498 100.13491 #>  [90588]  99.81984  99.83486 100.08496  99.70958  99.56907  99.96499 100.11493 #>  [90595]  99.85990  99.47361  99.93998 100.07497 100.22475  99.77475  99.82485 #>  [90602] 100.37430  99.34284 100.47885  99.94498  99.63935 100.19980 100.66280 #>  [90609]  99.96499  99.92998  99.98000  99.82485  99.77976 100.50871 100.24470 #>  [90616]  99.80982  99.66444 100.42908  99.91997  99.46859  99.53391 100.40916 #>  [90623]  99.95999 100.46890 100.01500 100.10494  99.85489  99.71961  99.49874 #>  [90630] 100.11493 100.30952  99.73966 100.32447  99.73465  99.85990  99.78978 #>  [90637]  99.86491 100.15987 100.42908  99.61928  99.53894  99.56907  99.86992 #>  [90644] 100.06498 100.41414 100.28460 100.07997  99.78477  99.56405  99.82485 #>  [90651]  99.56405  99.92998 100.18483  99.73465 100.43406  99.60422 100.11493 #>  [90658] 100.12492 100.12492 100.17984  99.94498 100.11993  99.68952 100.12992 #>  [90665]  99.60924 100.02000  99.68450  99.93498  99.59418 100.04999  99.97500 #>  [90672]  99.64939 100.62306 100.19980  99.79980 100.14490  99.81483 100.15488 #>  [90679] 100.14989  99.46859 100.00500  99.82986  99.63935 100.12992 100.09495 #>  [90686] 100.17485 100.10494 100.20479  99.71961 100.21976  99.98000  99.62931 #>  [90693] 100.37430 100.03000  99.81483  99.61928 100.09995  99.32271 100.15987 #>  [90700]  99.46356  99.80481  99.88994  99.98000 100.11493  99.40322  99.62429 #>  [90707]  99.55401 100.34441 100.14490  99.99000 100.14490 100.44899 100.02000 #>  [90714] 100.04499 100.63300  99.82986  99.38813 100.16486  99.99500 100.08996 #>  [90721] 100.04999 100.22974 100.06998  99.56405 100.01000  99.68952 100.39422 #>  [90728]  99.85489  99.73465  99.54898  99.99500  99.70958 100.04499  99.95999 #>  [90735]  99.41328 100.23472  99.63935 100.20978 100.01000 100.05498 100.11493 #>  [90742]  99.76973  99.70958 100.06498 100.13990  99.47864  99.74969 100.38924 #>  [90749] 100.02500  99.83987 100.08496  99.98000 100.17984  99.78978 100.11493 #>  [90756] 100.26465 100.17485  99.90996 100.14989 100.06498  99.72462  99.55401 #>  [90763] 100.07497  99.84989  99.77976  99.78978  99.98000 100.18483 100.03499 #>  [90770] 100.69260 100.24470  99.76472  99.97500 100.41912  99.41328 100.11993 #>  [90777]  99.97500  99.55401 100.06498 100.46392  99.98000  99.72462 100.17485 #>  [90784]  99.95999 100.22974 100.20978  99.91997 100.15488 100.12992  99.51382 #>  [90791] 100.29457 100.06498 100.24969 100.22475  99.59418 100.15488  99.57911 #>  [90798]  99.85489  99.99000 100.23472 100.04499  99.94999  99.76973  99.71961 #>  [90805]  99.91997  99.98000  99.44345 100.09495 100.14989 100.09995  99.76472 #>  [90812] 100.17984  99.54898  99.86491  99.99000 100.15987 100.10994  99.98000 #>  [90819]  99.53894 100.39422  99.97500  99.84488  99.95499 100.20479 100.05998 #>  [90826] 100.09495  99.98500  99.82485  99.87492 100.46392  99.78978  99.97000 #>  [90833] 100.03000 100.15987 100.00500 100.25966  99.98000 100.40418  99.63433 #>  [90840] 100.16986  99.97000  99.93998  99.67949 100.54850  99.86992 100.32946 #>  [90847]  99.55903 100.04999 100.02000  99.70456  99.50879  99.92497  99.98000 #>  [90854] 100.16486  99.50879  99.76973  99.62429  99.58916  99.88493 100.07997 #>  [90861]  99.64939 100.25468  99.89995 100.19481 100.17485 100.24470  99.82485 #>  [90868] 100.51865 100.10494 100.05498 100.23971 100.42410 100.32946 100.10494 #>  [90875] 100.47885  99.87492  99.59920 100.05498  99.90996  99.81483  99.44345 #>  [90882] 100.24969 100.22475 100.24470 100.50871  99.81984 100.25966 100.22475 #>  [90889]  99.83987 100.41414 100.10494 100.25468  99.74467 100.10994  99.69955 #>  [90896] 100.13990  99.93498 100.36932  99.59920 100.29457 100.23971 100.18982 #>  [90903]  99.95499  99.86491  99.59920  99.75971 100.03000  99.43842 100.27462 #>  [90910]  99.65942  99.75971 100.23472  99.83987 100.04999 100.22974  99.91997 #>  [90917] 100.37430 100.22974  99.83486  99.90495  99.76472 100.03000 100.05498 #>  [90924] 100.53855 100.02500 100.13491 100.22475  99.91496 100.22475  99.89494 #>  [90931] 100.23472  99.80481 100.04999  99.88994 100.16986  99.84488  99.99500 #>  [90938]  99.52889 100.14490  99.69955  99.49874  99.52387 100.54352 100.14989 #>  [90945]  99.84488  99.64939 100.03999 100.35437  99.91997 100.14490 100.48383 #>  [90952]  99.73966  99.92497 100.11993  99.92497 100.01000  99.59920 100.18483 #>  [90959]  99.66444  99.84488 100.09995  99.91997 100.22475  99.87492 100.74225 #>  [90966] 100.09495 100.26964 100.31949  99.36297  99.95999  99.67447  99.62429 #>  [90973]  99.88994  99.69453 100.03499  99.93498 100.03499 100.26964  99.91997 #>  [90980] 100.12492 100.26964  99.57911 100.05498 100.21976  99.65440  99.42837 #>  [90987]  99.86491 100.26465  99.83486  99.50377 100.44899 100.36932  99.74969 #>  [90994]  99.99000  99.82485 100.39422 100.18982  99.80481 100.45895  99.59920 #>  [91001] 100.03499 100.13990 100.10494 100.06498 100.28460  99.95499 100.01500 #>  [91008] 100.14490 100.15987 100.30454  99.89494  99.52889 100.04499  99.88493 #>  [91015] 100.07997 100.21477 100.22974 100.20978  99.74969  99.81483  99.78477 #>  [91022]  99.84989 100.24969  99.74969 100.03000 100.08996 100.05498  99.46356 #>  [91029] 100.25468 100.17984 100.14989 100.21477  99.87492  99.88493  99.29250 #>  [91036]  99.98500 100.10494  99.85489 100.13990  99.92497  99.93498  99.94498 #>  [91043] 100.15488  99.65440 100.11993  99.89494  99.87993  99.92998 100.12992 #>  [91050]  99.95999 100.05998  99.69453 100.60318 100.03000  99.82986  99.89995 #>  [91057]  99.76472  99.73465 100.01000  99.79479  99.87993 100.58330 100.46392 #>  [91064] 100.27462  99.47864  99.82485 100.29955 100.66280 100.07997 100.14989 #>  [91071]  99.65942 100.21477  99.35291  99.60924 100.43904 100.49378 100.15987 #>  [91078]  99.56907  99.82986  99.40825  99.74969 100.04499  99.66945 100.07997 #>  [91085]  99.49874  99.89995  99.81984 100.25966  99.93998  99.89995 100.43904 #>  [91092] 100.09995  99.82485  99.77976 100.60318 100.34939  99.80481  99.73465 #>  [91099] 100.43904 100.06998  99.54396 100.11993  99.76973 100.10994  99.90495 #>  [91106] 100.11493 100.17984  99.95999  99.82485  99.83486  99.74467 100.05498 #>  [91113] 100.18982  99.86491  99.69453 100.06998  99.99000  99.89494 100.19481 #>  [91120]  99.49874 100.32946  99.62931  99.77475 100.08996 100.29457 100.09995 #>  [91127]  99.92998 100.19481 100.08996  99.85489 100.51368  99.96499 100.25966 #>  [91134]  99.78477 100.33942  99.86491  99.64939  99.76472  99.52387  99.73465 #>  [91141]  99.44345 100.05498 100.48881  99.74467  99.73465 100.16986 100.10994 #>  [91148] 100.31949 100.35437 100.07997  99.97500  99.89995  99.70958 100.09495 #>  [91155]  99.83486  99.91496  99.45853  99.68952 100.14989 100.05498  99.59418 #>  [91162]  99.54898  99.87993  99.45853 100.00500  99.67949  99.93498 100.46392 #>  [91169]  99.82485  99.75971  99.14636 100.12492  99.77475 100.17485  99.68952 #>  [91176]  99.73966  99.93998  99.76973 100.08996 100.34939 100.23472  99.86491 #>  [91183]  99.96499  99.81483 100.16986 100.04499 100.30454  99.91496  99.82485 #>  [91190] 100.58330 100.09995 100.04499 100.18483  99.73465 100.15987  99.67447 #>  [91197]  99.62429 100.08496  99.85489  99.98000 100.25966 100.61809 100.53855 #>  [91204]  99.64437 100.38924  99.65440  99.96499 100.22974 100.20978  99.57911 #>  [91211]  99.81984  99.50377 100.13990 100.07997 100.23472 100.52860  99.75971 #>  [91218]  99.68450  99.87993  99.60422  99.90996  99.78477 100.05998  99.64939 #>  [91225] 100.00000  99.26228  99.97000  99.66444  99.78477 100.11493 100.18483 #>  [91232]  99.66444 100.17485 100.47388 100.48383 100.11493  99.83486 100.13491 #>  [91239]  99.84488 100.07997 100.35935  99.79980  99.92497  99.52387 100.18982 #>  [91246] 100.18982 100.44899 100.36434 100.05998  99.88994 100.84642  99.65942 #>  [91253]  99.68450 100.43904  99.86491 100.35437 100.18982 100.15987 100.24470 #>  [91260] 100.18982 100.36932  99.72963  99.65440  99.49874  99.64437 100.43904 #>  [91267] 100.20978  99.84989 100.08996  99.73966 100.11493 100.37928 100.15488 #>  [91274] 100.60318  99.98000 100.17485 100.13990  99.93498 100.25468 100.56341 #>  [91281]  99.46859 100.35437 100.15987  99.66945 100.18483 100.14490  99.96499 #>  [91288] 100.00500 100.05998  99.96499 100.26964  99.38813  99.92998  99.72462 #>  [91295] 100.11993 100.09995  99.87492 100.11993  99.83486  99.71961 100.14490 #>  [91302] 100.56341  99.94999  99.66945 100.11493  99.74969  99.79479 100.49378 #>  [91309]  99.75971 100.57833 100.14490 100.20978  99.81483  99.90495 100.03999 #>  [91316] 100.48383 100.08996 100.03999 100.17984  99.51884 100.32447  99.60422 #>  [91323]  99.84989 100.47388 100.21976 100.00500  99.60924  99.99000 100.15488 #>  [91330] 100.41414  99.54898  99.84989  99.89995 100.02500  99.69955 100.16486 #>  [91337] 100.12992  99.56405  99.72963 100.25468  99.40825  99.93498  99.86992 #>  [91344] 100.30952 100.37928 100.22475 100.22974 100.42410  99.74467 100.02500 #>  [91351]  99.67447  99.99000  99.52889  99.28243 100.21477 100.02500  99.51884 #>  [91358]  99.98000  99.74467  99.71459  99.79980  99.61928 100.10494 100.20479 #>  [91365]  99.99500 100.17485 100.09995  99.84989  99.84989 100.17984  99.92998 #>  [91372]  99.83987 100.09995  99.38310 100.16486 100.51368  99.83987  99.67949 #>  [91379] 100.37928  99.96499  99.76973 100.16486 100.02000  99.49874 100.17984 #>  [91386] 100.21976 100.13990  99.86491  99.98500 100.24470 100.13990 100.30952 #>  [91393]  99.87492  99.36297 100.49876 100.24969 100.11993  99.94999  99.81984 #>  [91400] 100.44899 100.16986  99.28746 100.41414  99.91997  99.79980  99.56405 #>  [91407] 100.19980 100.04999  99.85990  99.54396  99.97000 100.05998  99.84488 #>  [91414]  99.67949 100.48881  99.96499 100.26465 100.27961  99.83987  99.69955 #>  [91421] 100.00000  99.76973 100.20479  99.29753 100.20978 100.78194  99.94498 #>  [91428]  99.87492 100.06498 100.01000 100.47885  99.89494 100.10994 100.37928 #>  [91435]  99.98500  99.73465 100.24969  99.61426  99.34284  99.86992 100.16986 #>  [91442] 100.15488 100.36434  99.92497 100.27961 100.23472  99.77976  99.58916 #>  [91449]  99.94999 100.36932  99.66945  99.59418 100.41414  99.86992  99.51884 #>  [91456]  99.86491  99.89494  99.88493  99.84989 100.14490  99.67949 100.13491 #>  [91463] 100.29955 100.51368  99.74969  99.69955 100.19481 100.48383 100.07997 #>  [91470]  99.45351  99.91997 100.07497  99.98500  99.76973  99.82485  99.62429 #>  [91477] 100.22974 100.01500  99.95999 100.01500 100.12492  99.91997  99.91997 #>  [91484] 100.14490 100.19980  99.99000 100.58330 100.22974 100.23472  99.67949 #>  [91491]  99.99500  99.49874  99.55903  99.85489 100.06498 100.13491 100.41414 #>  [91498]  99.48869  99.91997 100.18483 100.06998  99.93998  99.88994 100.38426 #>  [91505] 100.32946 100.04499 100.03499 100.38426  99.38813  99.82485 100.01000 #>  [91512] 100.30454 100.02500 100.32946 100.00500  99.86992 100.11993 100.38924 #>  [91519] 100.52860  99.89494  99.95499  99.51382  99.81984  99.92998 100.02500 #>  [91526] 100.36932  99.61928  99.91997  99.79980  99.81984  99.78978 100.11993 #>  [91533] 100.01500 100.22974  99.80481 100.29955  99.93998  99.63935 100.28460 #>  [91540]  99.58916  99.50377 100.14490  99.89995  99.96499  99.91997 100.34441 #>  [91547]  99.81483  99.97500 100.25966  99.91997  99.44848 100.29457 100.14490 #>  [91554]  99.93998 100.32447  99.71459 100.15987 100.16486  99.58414 100.05498 #>  [91561]  99.88493  99.88493 100.26465  99.86992 100.10994 100.10994  99.91997 #>  [91568] 100.25966 100.58827 100.25966  99.35794  99.74969  99.92497 100.09495 #>  [91575]  99.52387 100.47885  99.86491  99.27739 100.49876 100.14490 100.78194 #>  [91582]  99.54396  99.67949  99.84989  99.52889  99.33781  99.97500  99.90996 #>  [91589]  99.66945 100.07997  99.97500 100.03999  99.62429  99.97000  99.97000 #>  [91596] 100.29457 100.43904  99.67447 100.08996  99.19677  99.83486 100.18982 #>  [91603]  99.75971 100.38426 100.14989 100.08496  99.60924  99.52889 100.12992 #>  [91610]  99.70958 100.12492 100.36434  99.70958  99.69955 100.25966  99.75470 #>  [91617]  99.95499  99.93498  99.78978 100.03499  99.77475  99.53894 100.17485 #>  [91624]  99.84989  99.72963 100.41414 100.18483  99.56405  99.84488 100.17984 #>  [91631]  99.67949 100.08496 100.49378 100.05498 100.22974  99.99000  99.84989 #>  [91638] 100.30952  99.74969  99.67447  99.85489  99.56405 100.12492 100.19980 #>  [91645]  99.68450 100.07497 100.28958 100.03999 100.09995  99.84488  99.71459 #>  [91652] 100.03000  99.91496  99.57911  99.37303  99.99500  99.71459  99.94498 #>  [91659] 100.13491  99.93498 100.09995 100.08996 100.46890 100.09495  99.56405 #>  [91666]  99.49874 100.14490 100.45397  99.63935  99.38310  99.88493  99.95999 #>  [91673]  99.91496 100.10494  99.39819  99.49372 100.40418  99.97500  99.85489 #>  [91680]  99.62931 100.51865  99.56907  99.95499  99.55401 100.00500 100.60815 #>  [91687]  99.48367  99.66945 100.10994  99.81483  99.80481 100.44401 100.72239 #>  [91694]  99.44345 100.13491  99.69955  99.70456 100.29457 100.08996  99.74969 #>  [91701]  99.66945 100.02000  99.85990 100.42908  99.62429  99.95999 100.02000 #>  [91708]  99.87492 100.10494  99.53894 100.28460  99.55401 100.03499  99.95499 #>  [91715] 100.43406  99.92998 100.29955 100.00500 100.45895 100.10994  99.92998 #>  [91722]  99.82986  99.78477  99.89494 100.18483  99.91997  99.76472  99.82485 #>  [91729]  99.83987  99.44848 100.29457 100.21477  99.86992  99.69955  99.46356 #>  [91736] 100.49876  99.79980 100.32946  99.80481  99.87993 100.15488 100.24969 #>  [91743] 100.51865 100.02000 100.04999  99.56907  99.86992 100.11493 100.06498 #>  [91750] 100.10494  99.64437 100.12492 100.11493  99.75470 100.08496 100.42908 #>  [91757]  99.57911 100.05498 100.55347  99.74969  99.65942 100.04999 100.15987 #>  [91764]  99.76472 100.13491 100.19980  99.95999 100.01500 100.18483 100.33942 #>  [91771] 100.16486 100.00000  99.90495  99.91997 100.22974  99.97500 100.14490 #>  [91778]  99.89995  99.88994  99.94999  99.72963  99.78477  99.53391  99.91496 #>  [91785] 100.20479  99.92998  99.67447 100.10494  99.91496  99.95499 100.18483 #>  [91792]  99.72963 100.34939 100.30952 100.16486  99.77976 100.32447  99.69453 #>  [91799]  99.84989 100.09995  99.83486 100.13491 100.02500  99.64939 100.09995 #>  [91806]  99.97500  99.64939  99.68450 100.31451  99.67447  99.37303  99.89494 #>  [91813] 100.21976 100.07997 100.15987  99.89494 100.11493 100.50871  99.84488 #>  [91820]  99.83486  99.87492  99.81984 100.21477 100.03499  99.86491 100.03499 #>  [91827] 100.14490 100.16486  99.90495 100.19481 100.29955 100.21976 100.31451 #>  [91834] 100.50871 100.01000  99.88994 100.14989 100.02000 100.69757  99.88493 #>  [91841] 100.30952 100.28460 100.45397  99.87993  99.98500  99.89995 100.20978 #>  [91848]  99.86992  99.85990 100.56341 100.52363  99.53391 100.01000 100.51368 #>  [91855] 100.28958 100.11493  99.65440 100.31949  99.80982 100.06998 100.44401 #>  [91862] 100.08496  99.98500 100.35437 100.00500 100.42410 100.08496 100.53855 #>  [91869]  99.25724 100.03000  99.81984  99.70958 100.46890 100.17485 100.11993 #>  [91876] 100.61809 100.43406  99.75971 100.30454 100.10994  99.36297  99.91997 #>  [91883] 100.09995  99.89995  99.90996 100.13990 100.02500  99.59920  99.80982 #>  [91890] 100.01500 100.12492 100.08496  99.89494 100.16486  99.75470 100.31949 #>  [91897]  99.77475 100.14490 100.51368  99.75470  99.90495 100.15488 100.15987 #>  [91904] 100.14989 100.14989 100.12492  99.28746 100.16486  99.79980 100.15488 #>  [91911] 100.58330 100.05998 100.08496  99.88994  99.74467 100.32946 100.18982 #>  [91918] 100.04499  99.88493  99.66945  99.94498  99.71961 100.36434  99.74467 #>  [91925]  99.98500 100.24969  99.62429 100.48383 100.00500  99.94498  99.99500 #>  [91932]  99.64939 100.44401  99.69453  99.92998  99.73465 100.55844  99.53894 #>  [91939] 100.05998  99.97500  99.47361 100.34441 100.15987  99.77976  99.92998 #>  [91946]  99.92998 100.41414  99.33781  99.97500 100.25966  99.44848  99.84488 #>  [91953]  99.84488 100.38426 100.24969  99.79980 100.44401 100.16486  99.98000 #>  [91960]  99.81483 100.03499  99.84989  99.93998  99.82485 100.34441  99.67949 #>  [91967]  99.92497  99.64437 100.38924 100.12992  99.79980  99.76472  99.94999 #>  [91974] 100.10994 100.06998  99.86491 100.09995  99.68952  99.86491 100.33942 #>  [91981] 100.03000 100.37928 100.29457  99.86491  99.93998 100.35935 100.18982 #>  [91988]  99.66945 100.13990  99.77976  99.71961 100.38924  99.55401 100.23472 #>  [91995] 100.03499 100.07997 100.31949  99.72462  99.61928 100.03999  99.97000 #>  [92002] 100.01500 100.16486  99.97000  99.35794  99.75971  99.66444  99.63935 #>  [92009] 100.33444 100.00000 100.20479  99.87993  99.62429 100.17984 100.13990 #>  [92016]  99.48367  99.91496 100.50373  99.93998  99.07573  99.85489 100.37928 #>  [92023]  99.70456  99.88493  99.39819  99.79980 100.04499  99.96499 100.31451 #>  [92030] 100.20479  99.90996  99.54898 100.06998 100.07997  99.82986 100.32946 #>  [92037] 100.08996  99.93998 100.50373  99.69453  99.80481  99.92497 100.06498 #>  [92044]  99.78978  99.40322  99.84989  99.90996  99.63433 100.06498  99.60422 #>  [92051] 100.35437  99.87492  99.46356 100.08496 100.09495 100.03000 100.29955 #>  [92058]  99.62931  99.90495 100.34939  99.81984 100.20479 100.42410 100.25966 #>  [92065]  99.92497 100.49378  99.75971 100.24470 100.53358  99.89494  99.75470 #>  [92072]  99.72963  99.73465  99.76472 100.24969  99.66945  99.88493 100.17984 #>  [92079]  99.76973  99.83987  99.78477 100.15488 100.48881 100.11993 100.42908 #>  [92086] 100.24470  99.99500  99.58916 100.30952  99.80982 100.53358  99.84488 #>  [92093] 100.60815 100.26465 100.00000 100.60318 100.18483 100.34939  99.92497 #>  [92100] 100.13990  99.97000  99.94498 100.13491  99.83987  99.44345  99.88994 #>  [92107]  99.93498  99.95999 100.26465 100.08496  99.96499 100.24969  99.96499 #>  [92114]  99.55903 100.16986 100.56838  99.82485  99.53894  99.71459  99.97000 #>  [92121] 100.53855 100.24470 100.23971  99.53391  99.48367 100.32447  99.79980 #>  [92128]  99.82986  99.84488  99.74969 100.11993 100.32946 100.72239 100.02500 #>  [92135]  99.79980 100.03999  99.79980  99.87993 100.17984 100.46392 100.62306 #>  [92142] 100.33444 100.15488  99.80481  99.84989 100.06998  99.86992 100.18982 #>  [92149]  99.86992  99.18165 100.28958 100.54352 100.31451 100.19481  99.83486 #>  [92156]  99.80982 100.73728 100.44401  99.98000 100.02500 100.15488  99.63433 #>  [92163]  99.71459  99.59920  99.54396 100.45397 100.50871 100.25966  99.91997 #>  [92170] 100.17485 100.21477  99.92497 100.31451  99.62429 100.44899 100.33942 #>  [92177] 100.59324  99.86491  99.67949  99.95499 100.09495  99.99000  99.66444 #>  [92184] 100.12492  99.35291 100.09495 100.38426  99.60422 100.42908  99.91997 #>  [92191]  99.98500  99.55401  99.60422  99.71961  99.93998 100.55844 100.10994 #>  [92198] 100.19481  99.61426 100.12992  99.68450  99.46859 100.22475  99.55903 #>  [92205] 100.34441 100.21477  99.69955  99.71459  99.80481 100.02500 100.44401 #>  [92212] 100.01500 100.03999  99.70958  99.63935  99.86992  99.73966  99.81984 #>  [92219] 100.13491 100.16486 100.31451 100.18483  99.99500  99.84488 100.30454 #>  [92226]  99.96499  99.93498  99.94498 100.39422 100.40916  99.74467 100.08996 #>  [92233] 100.27462 100.13990  99.93498 100.16986 100.00000  99.75470 100.02500 #>  [92240]  99.62931  99.90996  99.84488 100.03000  99.91997 100.19481 100.03999 #>  [92247] 100.41414  99.79479 100.06498  99.62429  99.54898  99.87492  99.62429 #>  [92254] 100.11493 100.06998  99.99500  99.72462 100.09495 100.32447 100.22475 #>  [92261] 100.22475 100.05998 100.20479  99.69453  99.77976  99.16148  99.34284 #>  [92268]  99.83486  99.77976 100.29955  99.98000 100.59821  99.93498  99.98500 #>  [92275] 100.04499  99.94498 100.06498 100.46392  99.59920 100.33942 100.00000 #>  [92282]  99.80982  99.72963 100.08996 100.10494  99.32774 100.51368  99.59920 #>  [92289]  99.88994 100.47388 100.23472  99.73465  99.83486 100.19481 100.37430 #>  [92296] 100.11493 100.12492 100.62306 100.28460 100.05498  99.83987 100.71743 #>  [92303]  99.85489 100.11493 100.24470  99.71961 100.03999  99.91496 100.10994 #>  [92310]  99.85489 100.12492  99.92497 100.35935  99.96499  99.86992  99.81483 #>  [92317]  99.88493 100.28958 100.03000  99.87492  99.80481 100.02500 100.14989 #>  [92324]  99.88493  99.76973  99.93998 100.08996 100.18483  99.54898 100.64790 #>  [92331]  99.92998 100.10494 100.19481 100.58827 100.26465 100.04499  99.87492 #>  [92338] 100.20479 100.21477 100.03000 100.15987  99.61426  99.95499 100.10494 #>  [92345]  99.42837  99.61928  99.85990 100.43406  99.79980 100.04999 100.34939 #>  [92352] 100.10494  99.85990  99.81984 100.22974  99.69955 100.04499 100.32946 #>  [92359]  99.50377  99.92998 100.24969  99.67949  99.90996 100.19980  99.94498 #>  [92366]  99.66945  99.92497 100.22475 100.19980  99.82485 100.03999  99.89494 #>  [92373] 100.40418  99.35794  99.98500 100.11493  99.55903  99.91997  99.76472 #>  [92380] 100.18483 100.37928 100.44401  99.88493 100.02000 100.13990 100.05998 #>  [92387]  99.63935 100.30952 100.12492  99.82485 100.08996 100.12992 100.55347 #>  [92394]  99.78978  99.77475 100.37928  99.47864 100.03499  99.48367 100.23971 #>  [92401]  99.86491 100.19980 100.05498  99.91496 100.58330  99.93498  99.64939 #>  [92408] 100.21976 100.32447 100.14989 100.17485 100.08996 100.19980  99.94498 #>  [92415] 100.06998 100.16486  99.85990 100.11993  99.78477  99.89494 100.38924 #>  [92422]  99.74467  99.89494  99.86992 100.38426 100.44401  99.91496 100.12992 #>  [92429] 100.48881 100.08496 100.42410 100.25468 100.52860 100.03000  99.57911 #>  [92436] 100.07997 100.38426 100.16486  99.85990 100.09995 100.26964 100.19980 #>  [92443]  99.85990  99.94999  99.39316 100.30952 100.29955 100.07497  99.57911 #>  [92450]  99.95999  99.65942  99.95499  99.73966  99.94498  99.78477 100.28460 #>  [92457] 100.14490  99.99500  99.82986 100.03999 100.18982 100.22475  99.79479 #>  [92464] 100.24969  99.59418  99.91496 100.35935 100.13491  99.56907  99.80982 #>  [92471] 100.77202 100.42410  99.36800  99.70456  99.95999 100.25966 100.14490 #>  [92478]  99.74467 100.49378 100.03499  99.79980 100.31451  99.66945 100.55347 #>  [92485] 100.05998 100.35935 100.12992  99.67949 100.01500  99.53894  99.92497 #>  [92492] 100.02000 100.48383  99.86992  99.59418  99.68450  99.94498 100.46890 #>  [92499] 100.12492 100.12992 100.09495 100.27462 100.10494  99.94498 100.10494 #>  [92506] 100.38924 100.21477  99.76472  99.92998 100.53358  99.93998 100.52363 #>  [92513]  99.99500 100.08996  99.38813  99.80481 100.07497 100.03499 100.12992 #>  [92520] 100.17984  99.65942 100.22475  99.75971  99.41328 100.18483  99.57409 #>  [92527]  99.73465 100.12492 100.25966 100.04499  99.94999 100.21477  99.27739 #>  [92534] 100.02500 100.16986 100.04999 100.37928  99.93498  99.94999 100.43904 #>  [92541] 100.11493 100.62803  99.49372  99.70456 100.44899 100.34441  99.83486 #>  [92548] 100.23472  99.36297 100.41414  99.87492 100.14490 100.43904  99.62931 #>  [92555] 100.43406 100.06998 100.12492  99.86491  99.57409 100.35935  99.82986 #>  [92562]  99.94999  99.99000 100.08996 100.00500 100.00000  99.78978 100.17485 #>  [92569] 100.25966  99.52387 100.36932  99.96499 100.12492 100.60815  99.58916 #>  [92576]  99.83486  99.95499 100.00000 100.30454 100.26964  99.94498 100.06998 #>  [92583]  99.39819  99.88994  99.65942 100.01000 100.34441 100.53358  99.65440 #>  [92590]  99.99000 100.04499 100.37430  99.95999  99.83987  99.66945 100.09495 #>  [92597] 100.40418 100.02500  99.75971 100.09495 100.22475  99.75470 100.09495 #>  [92604] 100.28958 100.09495 100.36434 100.23472  99.56405  99.98000 100.44401 #>  [92611]  99.89995 100.60815  99.73966  99.67447  99.72963  99.65942  99.77976 #>  [92618]  99.57911 100.47885  99.89494  99.91997  99.75971  99.80481  99.53894 #>  [92625]  99.73966 100.12492  99.78477 100.38426 100.11993  99.69955 100.36932 #>  [92632]  99.86992 100.05498 100.06998 100.26465 100.35935  99.80982 100.36932 #>  [92639]  99.52889  99.59418 100.31949 100.05498 100.45895 100.11993 100.31949 #>  [92646] 100.17984 100.03000  99.60422  99.87492  99.82485 100.14490  99.92998 #>  [92653] 100.41912  99.82485 100.14490  99.79980  99.73966 100.20479 100.06498 #>  [92660]  99.71961  99.64437 100.13491  99.92998 100.03000 100.11493 100.18982 #>  [92667] 100.06998 100.23472 100.23971 100.16486  99.86992 100.27961 100.14490 #>  [92674] 100.47388 100.02000 100.32946 100.61809  99.94498  99.88994 100.09495 #>  [92681] 100.27961  99.34284 100.45397  99.72462 100.20479  99.79980  99.95499 #>  [92688]  99.85489 100.27961  99.88493 100.28460  99.75470  99.69453  99.92998 #>  [92695]  99.82485 100.36434  99.91496  99.76472  99.96499  99.86491  99.98000 #>  [92702]  99.78477 100.29955 100.13491 100.42410  99.92998 100.60318 100.05498 #>  [92709] 100.40418  99.46356  99.85489  99.95999 100.42410  99.57409 100.02000 #>  [92716] 100.50871 100.12492  99.78978 100.24969  99.48367  99.49874  99.60422 #>  [92723] 100.05498  99.82986  99.63935  99.65942  99.82986 100.16986  99.64939 #>  [92730] 100.45895 100.28460 100.17485 100.27961  99.69453  99.75971  99.67949 #>  [92737]  99.78978  99.48367  99.77475 100.18982 100.12492  99.68450  99.45351 #>  [92744] 100.06498 100.06998 100.00500 100.43406  99.70456 100.08996 100.17984 #>  [92751]  99.85990 100.10994  99.57911 100.15488  99.89494  99.67949  99.84488 #>  [92758] 100.26465 100.33444 100.06498 100.29955  99.72963  99.81984  99.92998 #>  [92765] 100.72735 100.05998  99.36297  99.72963 100.07497  99.68450  99.87492 #>  [92772]  99.79980 100.88112 100.70253  99.65942  99.86491 100.07997  99.60924 #>  [92779]  99.97000 100.39422 100.25468 100.17485  99.79479  99.92998  99.63935 #>  [92786] 100.31949  99.60422 100.23971  99.98000  99.97500 100.18982 100.22475 #>  [92793]  99.77976  99.92497  99.91997 100.08996 100.04499 100.10994 100.36932 #>  [92800] 100.07497 100.13990 100.10994  99.70456  99.97000 100.04999  99.98500 #>  [92807]  99.62931  99.41831 100.01500  99.59920 100.15488  99.80481 100.21976 #>  [92814] 100.12992 100.42410  99.83987  99.87993  99.28746  99.70958  99.97500 #>  [92821] 100.03000  99.75971  99.90495 100.08996 100.13491 100.07997 100.17984 #>  [92828]  99.91496  99.92998 100.05498  99.87993 100.10494  99.86491 100.13990 #>  [92835] 100.02500 100.12992 100.03499 100.20479  99.53894  99.61928  99.81483 #>  [92842]  99.73966 100.58330  99.77976 100.26465 100.24969 100.36434  99.95499 #>  [92849]  99.99000  99.79479  99.94498  99.99000 100.43406 100.03999 100.05998 #>  [92856]  99.91496  99.99500 100.13990 100.10994 100.18982 100.46890  99.82986 #>  [92863] 100.02500 100.09495  99.62931 100.27462  99.97000  99.25724  99.77475 #>  [92870] 100.43904  99.70958  99.69955  99.56405  99.84488  99.57911  99.75971 #>  [92877]  99.84989 100.22974 100.06498 100.44401  99.91997 100.25468  99.87492 #>  [92884] 100.17485  99.54396  99.53894  99.95999  99.86491  99.85489 100.54850 #>  [92891] 100.30454 100.03999  99.72462  99.63433 100.53855  99.84488  99.63433 #>  [92898] 100.21477  99.83987 100.44401  99.91997  99.90996  99.74969 100.64790 #>  [92905] 100.30454 100.40916  99.81483 100.13990 100.21477 100.38426  99.75971 #>  [92912]  99.77976  99.77976 100.09495  99.44345 100.07997  99.74969  99.72963 #>  [92919]  99.70456  99.82986  99.88493 100.16986 100.05998 100.14989 100.21477 #>  [92926]  99.62429  99.83486  99.65440  99.83987 100.18483 100.09495  99.80982 #>  [92933]  99.79479  99.90495 100.22475  99.83486 100.10994  99.78477  99.95499 #>  [92940] 100.13491 100.01500  99.99000 100.05498  99.80481 100.06498  99.70456 #>  [92947] 100.06998  99.73966 100.21477 100.01500 100.13990 100.41912 100.26465 #>  [92954] 100.03499 100.39920  99.73966 100.23971  99.95999  99.83987 100.00500 #>  [92961]  99.65440  99.30760  99.94498 100.18483  99.68952  99.85990 100.17984 #>  [92968] 100.19481 100.28958  99.80982  99.93498 100.11493 100.22974  99.71961 #>  [92975] 100.22475 100.36434 100.36434  99.63935 100.01000 100.00000 100.46890 #>  [92982] 100.14989  99.89995 100.14989 100.41912 100.26465  99.65440  99.39819 #>  [92989]  99.87993  99.64939 100.71743  99.95499 100.12992 100.13491  99.78477 #>  [92996]  99.95999 100.00000  99.69955  99.61928  99.92497 100.05498 100.27961 #>  [93003]  99.94999 100.08496 100.16986  99.76973 100.19980 100.03999 100.12992 #>  [93010] 100.01000 100.25966 100.01000 100.10494  99.96499 100.12992  99.66444 #>  [93017]  99.89995  99.79479  99.86491  99.84488 100.09495  99.99000  99.63935 #>  [93024] 100.35935  99.47864 100.42908  99.45351 100.30454  99.50879  99.73966 #>  [93031] 100.08996  99.95499  99.92998  99.17157 100.05498 100.00500 100.14989 #>  [93038] 100.00500 100.37928  99.46356 100.07997 100.27961  99.86992 100.39920 #>  [93045] 100.50871 100.31949 100.11993  99.64437 100.03999  99.93498 100.23472 #>  [93052]  99.57409 100.30454  99.82485  99.74467 100.04999 100.19980 100.11493 #>  [93059]  99.33277  99.56907 100.25468 100.48383 100.08996  99.60924 100.09495 #>  [93066]  99.75971  99.73465  99.81483  99.99500  99.35291 100.17485 100.41912 #>  [93073] 100.10994 100.35437 100.22974  99.60924 100.15488  99.96499 100.03000 #>  [93080] 100.12992  99.41328  99.61928 100.08496 100.17485  99.80481 100.16486 #>  [93087] 100.19481  99.78978  99.55401 100.12992 100.14490 100.42410 100.05998 #>  [93094] 100.33942 100.10494 100.25966  99.98000 100.17984 100.09495  99.75470 #>  [93101] 100.37928 100.00500 100.32946 100.25966 100.17485  99.44345 100.23971 #>  [93108]  99.66945  99.83987  99.64939  99.98500  99.90996 100.13491  99.86992 #>  [93115]  99.99000 100.01000 100.36932  99.98000  99.65942 100.00000 100.01500 #>  [93122] 100.74721 100.15987  99.88493 100.41912  99.87993 100.26964 100.28460 #>  [93129] 100.10994  99.94999  99.98500 100.56838  99.52387 100.29955 100.30454 #>  [93136] 100.05498  99.53391 100.28460  99.67949 100.65287 100.08496 100.26964 #>  [93143]  99.95499 100.03000  99.62429 100.31451  99.72462  99.76472 100.11993 #>  [93150] 100.23971 100.52860 100.24969  99.32271 100.40418  99.53391  99.94999 #>  [93157] 100.14989  99.71459 100.30454  99.75971  99.87993 100.01500 100.07997 #>  [93164] 100.12992 100.47388  99.44345  99.85990  99.70456  99.45351  99.83486 #>  [93171] 100.09995 100.00000 100.52860 100.30454 100.45895  99.80982  99.90996 #>  [93178] 100.29457 100.22974 100.34441 100.37928  99.63433 100.66777  99.76472 #>  [93185] 100.00500 100.13990 100.09995 100.11493 100.09995  99.65440 100.25966 #>  [93192] 100.10994  99.42334  99.96499  99.84488  99.95999 100.01000 100.21477 #>  [93199] 100.29457 100.19980  99.22197  99.92497 100.26465 100.34441 100.34441 #>  [93206] 100.07997 100.51368  99.64939  99.79479  99.74467  99.70958 100.39422 #>  [93213] 100.19481 100.15987  99.83987  99.45351 100.08996 100.35935  99.40825 #>  [93220] 100.16986 100.03999  99.97500 100.18483  99.86992  99.57911 100.53855 #>  [93227] 100.10494  99.91496 100.33444  99.42837 100.16986 100.64790 100.04499 #>  [93234]  99.47361 100.06998  99.98500  99.82986  99.88493  99.57911  99.78477 #>  [93241]  99.92497 100.27961 100.06998  99.64437  99.88493  99.72963  99.92497 #>  [93248]  99.65440  99.85489 100.42908 100.18982 100.03000  99.91496  99.85489 #>  [93255]  99.51884  99.81984 100.29955 100.14989 100.11493 100.18982 100.36932 #>  [93262]  99.68450  99.81483  99.76973 100.42410 100.07997 100.14490 100.39422 #>  [93269]  99.47361 100.35935 100.16986  99.54898 100.14989 100.01500  99.62931 #>  [93276] 100.57833  99.87492  99.85489  99.84488  99.50879  99.79980  99.98000 #>  [93283]  99.63935 100.26465  99.83987 100.43904  99.65440  99.36297  99.94498 #>  [93290] 100.44899 100.02500  99.87993  99.64939 100.50373  99.74969  99.54898 #>  [93297] 100.49378 100.13990  99.91496 100.20479 100.34441 100.49378 100.56341 #>  [93304]  99.99500 100.25468 100.43904  99.61928 100.52860  99.78477  99.73966 #>  [93311] 100.12992 100.21976 100.08996 100.20978  99.92998  99.80982 100.16486 #>  [93318]  99.69955  99.72462  99.77976  99.92998 100.08496 100.32946 100.41912 #>  [93325] 100.12992  99.63433  99.93998 100.06998 100.01500  99.93998 100.36434 #>  [93332] 100.05998 100.06498 100.35437  99.93998  99.72963  99.62429  99.91997 #>  [93339]  99.93498 100.33942  99.38310  99.88994 100.25468 100.09995  99.65942 #>  [93346]  99.83987  99.86491  99.95999  99.91997 100.06498 100.11993 100.45895 #>  [93353] 100.21477 100.22475 100.06498  99.78978  99.68952 100.38924  99.68450 #>  [93360]  99.65942 100.58827  99.77976 100.44401  99.88493  99.94498  99.91997 #>  [93367] 100.15987  99.97000  99.80982  99.80481  99.84488  99.71459  99.73465 #>  [93374] 100.23971  99.82986 100.35437 100.36932  99.68952  99.85990 100.34441 #>  [93381]  99.78477  99.89494 100.55844  99.94999 100.13491 100.13990  99.67447 #>  [93388] 100.24969  99.94498  99.98000  99.93498 100.13491 100.04999 100.26465 #>  [93395] 100.18483  99.80481  99.81483  99.49874 100.44899 100.44401 100.04999 #>  [93402] 100.05998  99.87492 100.28460  99.99500  99.77976 100.34939 100.25468 #>  [93409]  99.72462  99.67949  99.79479  99.82485  99.78477 100.09995  99.89494 #>  [93416] 100.07497  99.73465 100.21976 100.37928 100.30952  99.80481  99.55401 #>  [93423] 100.12492  99.67447 100.31949  99.88994 100.25468 100.12492  99.90996 #>  [93430] 100.61809  99.99000  99.90495  99.71961 100.28460  99.46859  99.92497 #>  [93437]  99.88493  99.52889  99.80982  99.62429 100.15488 100.33942  99.76472 #>  [93444] 100.36932 100.29457  99.70958 100.08496  99.77976  99.71961  99.75971 #>  [93451] 100.19481 100.52363 100.34939 100.30952 100.02500  99.88493 100.12492 #>  [93458]  99.72963  99.86491 100.54850  99.91496  99.96499  99.84989  99.72963 #>  [93465] 100.22974  99.44848 100.42410 100.42908 100.13990 100.33942 100.28958 #>  [93472] 100.06998  99.66444  99.69955 100.20978  99.86992 100.52860  99.65440 #>  [93479] 100.50373  99.95499  99.90495  99.63935 100.27462 100.12992 100.00500 #>  [93486]  99.95499  99.64437  99.93998 100.21976  99.79479  99.80481  99.29250 #>  [93493]  99.69453  99.93998 100.06998  99.58916  99.51884  99.89494 100.46890 #>  [93500] 100.22974 100.00500  99.97500 100.07997  99.84989 100.01000 100.01500 #>  [93507]  99.76973  99.98000  99.67447 100.16986  99.97500 100.21976  99.91496 #>  [93514]  99.88493  99.71459 100.04499  99.98500 100.13990  99.88493  99.89494 #>  [93521] 100.14490  99.97500 100.03499 100.48881  99.96499 100.02000  99.83486 #>  [93528]  99.65942  99.78978  99.90996  99.87492  99.95499  99.86491 100.29457 #>  [93535]  99.92497  99.24717  99.88493 100.03499  99.83486  99.96499 100.00000 #>  [93542] 100.46890 100.04999  99.92497 100.16486  99.84488  99.82485  99.26228 #>  [93549] 100.33444 100.35935  99.64437  99.30257  99.88994 100.38924 100.01500 #>  [93556] 100.22974  99.55401  99.89995 100.45895  99.95999  99.86491 100.11993 #>  [93563] 100.17984 100.29955 100.00500 100.14989  99.77475 100.14490 100.25966 #>  [93570] 100.03000  99.90996 100.52363 100.07997  99.48367  99.92497 100.24470 #>  [93577] 100.46392  99.91496  99.93498  99.92998  99.26228 100.47388  99.67447 #>  [93584]  99.96499  99.92497 100.01000 100.00000 100.31949  99.75470 100.26964 #>  [93591]  99.94999  99.52889  99.85489  99.84488 100.03000  99.53391 100.34441 #>  [93598] 100.56341  99.71961 100.32946 100.55844 100.03499 100.08996 100.11993 #>  [93605]  99.73465  99.49874 100.01500 100.08496 100.30454 100.17984  99.32774 #>  [93612] 100.09995 100.01500 100.44401  99.64939 100.07497  99.97500 100.14490 #>  [93619]  99.84488 100.14490 100.10494  99.80982  99.85489  99.95499 100.67274 #>  [93626] 100.18483 100.12992 100.32447 100.03499  99.66945 100.47885  99.77976 #>  [93633]  99.71459  99.74467 100.24470  99.58414 100.38426 100.26465 100.62803 #>  [93640]  99.93498 100.20978 100.23472 100.09495 100.24470  99.88994 100.59821 #>  [93647] 100.22475 100.20978  99.70958 100.01000  99.97500  99.95999  99.69453 #>  [93654] 100.22475  99.99000 100.08496  99.69453  99.70958  99.97000  99.77475 #>  [93661] 100.16986  99.95499  99.71961 100.60815  99.80982 100.20479  99.73966 #>  [93668] 100.38426 100.16486 100.20479  99.57409 100.44401 100.04999 100.33444 #>  [93675] 100.30952  99.89995  99.68450 100.33942 100.18982  99.85990 100.18483 #>  [93682]  99.74467 100.30454 100.07997 100.37928 100.10494  99.94999  99.92998 #>  [93689] 100.13990 100.31949  99.79980  99.63935 100.44899 100.12992  99.77475 #>  [93696]  99.62931  99.99000  99.87993  99.54898 100.09995 100.12992 100.18483 #>  [93703] 100.00000 100.26964 100.26465 100.12492  99.66945  99.07573 100.54352 #>  [93710] 100.30454  99.64939  99.75470 100.29955 100.15987  99.55903 100.34939 #>  [93717] 100.50871  99.76472 100.20978 100.19481 100.02000 100.31949  99.59418 #>  [93724]  99.95499 100.06498  99.94498 100.15987 100.04499  99.92497 100.14989 #>  [93731] 100.13491 100.20479 100.02000 100.03000  99.65440  99.80982 100.12492 #>  [93738] 100.46392 100.19481 100.00500  99.74969  99.92998 100.19980 100.06498 #>  [93745] 100.09495 100.60318  99.99000 100.17984  99.69453 100.10494  99.94498 #>  [93752]  99.58414 100.06998 100.22974 100.09495  99.99000 100.17984 100.44401 #>  [93759] 100.09495 100.15488  99.63433 100.17485  99.96499  99.68952  99.97000 #>  [93766]  99.58916 100.29955 100.19481  99.25220 100.12992  99.76973  99.64437 #>  [93773]  99.60422  99.59920  99.70958  99.71961 100.10994  99.54898  99.98000 #>  [93780] 100.40418 100.00000 100.03999 100.05998  99.78477 100.36932 100.36932 #>  [93787] 100.54352 100.00000  99.72462  99.70456 100.05498  99.87492 100.08996 #>  [93794] 100.38924 100.13491 100.50871  99.90495 100.30454 100.18483 100.11993 #>  [93801] 100.33942  99.60924 100.04999  99.50377  99.89995  99.87993  99.87492 #>  [93808]  99.47864 100.87121  99.59920  99.95999 100.23472  99.75971 100.02000 #>  [93815]  99.92497 100.17485 100.04999 100.15488  99.73465  99.78978  99.78477 #>  [93822]  99.83987 100.36932 100.07497  99.75971 100.26964 100.33942  99.34787 #>  [93829] 100.09495  99.83486 100.27462 100.00000  99.52889 100.10994  99.82485 #>  [93836] 100.12492 100.39920 100.27462  99.93498 100.00500  99.64437 100.39920 #>  [93843] 100.16986 100.25468 100.25966 100.25966 100.35935 100.20479 100.01000 #>  [93850]  99.88493 100.21976  99.40825 100.45397 100.10994 100.08996 100.01000 #>  [93857] 100.18982 100.09995  99.79479  99.68450 100.57833 100.43406  99.62429 #>  [93864] 100.39920 100.32946 100.24470  99.91997 100.03499 100.29457 100.04999 #>  [93871] 100.63300 100.28460 100.17984  99.42837 100.35935 100.24470  99.97500 #>  [93878]  99.92998  99.89995  99.60924  99.56907  99.88493 100.13990 100.72239 #>  [93885]  99.81984 100.42410 100.26465 100.56341 100.05498 100.19980 100.67770 #>  [93892] 100.18483  99.98500 100.13491 100.14989  99.66945  99.99000  99.80982 #>  [93899]  99.82986 100.42410 100.32447 100.03499  99.62429  99.99000  99.57911 #>  [93906]  99.96499  99.98500 100.49876 100.30454  99.73465 100.40916 100.20978 #>  [93913] 100.01000  99.70456  99.95999  99.98500  99.67949  99.94999 100.30952 #>  [93920] 100.25468 100.18483  99.94498 100.28460 100.19980 100.19980 100.13491 #>  [93927] 100.34441  99.81483 100.59821  99.84488 100.32447  99.84488 100.26465 #>  [93934] 100.26465 100.38924 100.08996 100.49876 100.09495 100.59324  99.97500 #>  [93941] 100.13990  99.79980 100.03000 100.33444  99.81483 100.01000 100.24470 #>  [93948] 100.30454 100.25468  99.94498 100.34441 100.31451  99.95499  99.71961 #>  [93955]  99.36800 100.40418 100.30952 100.14989 100.09995  99.97500  99.86992 #>  [93962] 100.43406 100.15987 100.41912 100.11493 100.24470  99.83486  99.73465 #>  [93969]  99.88994  99.92998  99.94999 100.32946  99.67447  99.93498 100.03499 #>  [93976] 100.54850 100.51368 100.12492  99.97000 100.37928 100.00500  99.88493 #>  [93983]  99.91496  99.91997 100.06498 100.02000  99.95499  99.52387 100.06498 #>  [93990]  99.66444  99.87993  99.76472  99.68952  99.66444  99.85990 100.36434 #>  [93997]  99.61928 100.36434 100.71743  99.97500  99.97000 100.29457 100.34939 #>  [94004]  99.87492 100.53855  99.88994  99.78477 100.06498 100.16986 100.19980 #>  [94011] 100.08496  99.98500  99.56907  99.89995  99.83486 100.22974  99.78477 #>  [94018] 100.17485 100.34441  99.75971  99.28243 100.10494 100.14490 100.46392 #>  [94025] 100.18982 100.12492 100.46392 100.06998  99.98000  99.44848  99.91997 #>  [94032] 100.03499 100.24969 100.11493 100.51368  99.79479 100.17984  99.67949 #>  [94039] 100.05998 100.03000 100.23971  99.81984 100.17485  99.77976 100.32946 #>  [94046]  99.84488  99.78477 100.01500  99.73465  99.90495 100.11993  99.96499 #>  [94053] 100.36932 100.01000 100.51865  99.97500  99.80982  99.72462  99.96499 #>  [94060] 100.61809 100.11493 100.07997 100.14490  99.92497 100.42908 100.29955 #>  [94067] 100.03499 100.15987  99.79479  99.95999  99.92497 100.42410 100.03499 #>  [94074] 100.27462  99.98500  99.63935 100.26964 100.25468  99.43842  99.67447 #>  [94081] 100.36434 100.00500 100.18982  99.64437 100.42410 100.12492  99.66444 #>  [94088]  99.88493 100.48383  99.68450  99.80982 100.09995 100.55844  99.46859 #>  [94095]  99.90495 100.45895  99.94498  99.85990  99.86491 100.09995 100.21477 #>  [94102] 100.19980  99.70456 100.02500 100.19980 100.29955 100.23472 100.40418 #>  [94109]  99.94498  99.88493  99.67447 100.16986  99.86992 100.35437 100.10494 #>  [94116]  99.68952  99.53391 100.64790  99.86491 100.30454  99.74969  99.97000 #>  [94123]  99.94999  99.68952  99.75971 100.05498 100.10994 100.46392  99.76973 #>  [94130]  99.91997 100.11993 100.00000  99.63433 100.79186  99.84488 100.57833 #>  [94137]  99.58916 100.19481  99.86992  99.69955  99.63935 100.28460  99.79479 #>  [94144] 100.02000  99.80982 100.08496  99.52387  99.67949 100.03999  99.80481 #>  [94151] 100.19980  99.88493 100.25468 100.22974 100.20978 100.48383  99.85489 #>  [94158]  99.89995  99.73966  99.80982  99.63935 100.03000 100.45895  99.66945 #>  [94165]  99.74969  99.66945 100.25966  99.74969  99.77976 100.23472 100.34441 #>  [94172]  99.64437  99.68450  99.74467  99.86491  99.91496 100.34441  99.84989 #>  [94179] 100.13990 100.04499  99.66945  99.81483  99.91997  99.87993  99.56405 #>  [94186] 100.13990 100.34441 100.05498 100.19980 100.00500 100.12492 100.18483 #>  [94193]  99.97500  99.80982  99.47361  99.81483  99.95499 100.29457 100.44899 #>  [94200] 100.41414  99.95499 100.26465 100.27462  99.62931 100.13990  99.93998 #>  [94207]  99.90996  99.38310  99.66945 100.04499 100.56838  99.91496 100.01000 #>  [94214] 100.28460 100.06498 100.20479 100.12992  99.95999 100.16486  99.68952 #>  [94221] 100.18982 100.10494 100.04999 100.28460  99.81984 100.01000 100.10494 #>  [94228]  99.74467 100.48881  99.47864 100.14490  99.66444 100.58827 100.08496 #>  [94235]  99.97000 100.35437 100.06498  99.99000  99.98500 100.39920 100.28958 #>  [94242] 100.08496  99.27739  99.92497 100.13990  99.81984 100.00500  99.87492 #>  [94249]  99.71459 100.13990 100.35935  99.92497 100.10994  99.33781 100.41912 #>  [94256] 100.14490 100.13491  99.62931  99.66444  99.83987 100.00500 100.21477 #>  [94263]  99.65440  99.85489  99.70456 100.06998 100.46890 100.27462  99.60422 #>  [94270] 100.35437 100.27462  99.87993 100.01500  99.71459  99.62429 100.22475 #>  [94277] 100.31949 100.19481  99.72462  99.46356 100.15488 100.34441  99.73966 #>  [94284]  99.92497 100.07997  99.81483 100.40418 100.09495 100.00000  99.72963 #>  [94291]  99.76472 100.25468  99.84989  99.71961 100.06998 100.15987 100.22974 #>  [94298] 100.18982 100.26964 100.16986  99.71961 100.37928  99.74467 100.33444 #>  [94305] 100.32447 100.39920 100.50373  99.95499  99.36297  99.67949 100.02500 #>  [94312]  99.91997 100.27961  99.90495 100.41912  99.53894 100.15987 100.25468 #>  [94319] 100.27961  99.54396  99.45853 100.40418  99.97500 100.28958 100.07997 #>  [94326] 100.46392  99.98000 100.15488  99.88994  99.44848  99.50377  99.65942 #>  [94333] 100.17485  99.90495 100.01500 100.06498  99.66444 100.58330  99.82485 #>  [94340] 100.01500 100.08996  99.73465 100.00500  99.45351  99.60422  99.89494 #>  [94347] 100.27462 100.45397  99.91997  99.93998  99.86491  99.93498 100.11993 #>  [94354] 100.18483 100.14989 100.34939  99.72462  99.53391 100.40916 100.26964 #>  [94361] 100.03499  99.85990 100.05498  99.99000 100.41414  99.61928 100.08496 #>  [94368] 100.12992 100.58827  99.70958 100.20479  99.74467  99.72963  99.99500 #>  [94375]  99.71961  99.70958 100.64790  99.64437  99.88994 100.00000 100.12492 #>  [94382] 100.05998 100.31949  99.90996  99.64939  99.88994 100.19980  99.44345 #>  [94389]  99.42837  99.85489  99.84488  99.91496  99.42837 100.02500  99.88493 #>  [94396]  99.99500 100.08496  99.60422 100.67770 100.35437 100.01000 100.53358 #>  [94403] 100.13491 100.05998  99.57911 100.26964 100.08496  99.72963  99.81984 #>  [94410]  99.60422  99.82485  99.68450  99.62429  99.87993 100.52363  99.47864 #>  [94417] 100.24470  99.92998  99.74467  99.68952 100.00500 100.07497  99.85489 #>  [94424] 100.31451 100.03000 100.04999 100.17984  99.89995 100.31949 100.26964 #>  [94431] 100.22974  99.95499 100.42410 100.27961 100.20479  99.63935 100.20978 #>  [94438] 100.30952  99.80481  99.95999  99.78978  99.74969  99.72963  99.82986 #>  [94445]  99.94999  99.72462 100.28958  99.43842 100.12992  99.60422  99.94999 #>  [94452] 100.51865  99.80481 100.13491  99.99000 100.40916 100.23971 100.25468 #>  [94459] 100.21477  99.95999 100.26964 100.28460 100.40418  99.58414  99.84989 #>  [94466] 100.05998  99.44848 100.07997 100.33444 100.36434  99.64939  99.50377 #>  [94473]  99.93998 100.18982 100.20978  99.39819 100.31949  99.72963  99.75470 #>  [94480]  99.91997 100.06998  99.89995  99.49874  99.97000  99.67949 100.03499 #>  [94487]  99.70456 100.34441 100.42908  99.75470  99.53894 100.00500 100.14989 #>  [94494]  99.94498 100.09995 100.06998 100.52363 100.32946  99.95999 100.19481 #>  [94501] 100.56341  99.74467  99.83486  99.96499  99.84488 100.38924 100.21976 #>  [94508] 100.15488  99.79980 100.03499 100.30952 100.17984  99.90495  99.93498 #>  [94515]  99.80481 100.03499  99.66444 100.17485  99.68952 100.10494 100.00000 #>  [94522] 100.11493 100.01000 100.38924  99.89995  99.91496  99.89494  99.90996 #>  [94529] 100.30454  99.76472  99.98000  99.90996 100.36932 100.19980  99.76973 #>  [94536] 100.48881  99.82986  99.65942 100.06498  99.91997  99.86992 100.22475 #>  [94543] 100.12492  99.56405 100.20978 100.07997 100.17485  99.76973 100.16486 #>  [94550]  99.94999 100.33942  99.94999  99.99500  99.81984 100.53358  99.98500 #>  [94557] 100.19481  99.82986 100.02000 100.09995 100.27961  99.90495 100.38924 #>  [94564] 100.28958 100.49876 100.43904 100.13491 100.22974  99.98500 100.13491 #>  [94571] 100.10494 100.27462 100.35935  99.62429  99.98000  99.94999 100.10994 #>  [94578] 100.20479 100.08496 100.08496  99.68450  99.67447  99.63935  99.42334 #>  [94585]  99.83486  99.80982 100.12492  99.75971  99.97000 100.37430 100.34939 #>  [94592] 100.44401  99.93498  99.52889 100.16986 100.22974  99.83486 100.81667 #>  [94599]  99.62931  99.53894 100.04999 100.18483  99.83486 100.28460 100.05998 #>  [94606] 100.16986  99.54396  99.81483 100.23472 100.51368 100.48383  99.51884 #>  [94613] 100.18483 100.43904  99.77976  99.84488  99.87492  99.88994  99.52387 #>  [94620] 100.21976  99.79980 100.44899 100.18982  99.85489  99.69453  99.51382 #>  [94627]  99.50879 100.22475 100.46890  99.97000 100.00500  99.72963  99.99500 #>  [94634] 100.13990 100.12992  99.94999  99.79980 100.36932  99.91496  99.86491 #>  [94641]  99.56405  99.88493  99.55401  99.86491 100.04499 100.38924  99.84989 #>  [94648] 100.14490 100.38924 100.12492  99.65942  99.79479 100.35935  99.86491 #>  [94655]  99.61426  99.50377 100.34939  99.72462  99.63935  99.92998 100.00000 #>  [94662]  99.68952  99.53391 100.32447  99.96499  99.72462  99.85990 100.24470 #>  [94669]  99.71961 100.32447  99.75971 100.22475  99.72462 100.30454 100.16486 #>  [94676]  99.90495 100.28958 100.42410  99.79479 100.24969  99.99500 100.07497 #>  [94683]  99.98500  99.81984 100.11493 100.13491 100.13491 100.10994 100.45397 #>  [94690]  99.93998 100.09995 100.35437 100.19980 100.32946 100.34441 100.51865 #>  [94697]  99.71961  99.72963 100.22475  99.66444  99.99000  99.71961  99.79479 #>  [94704]  99.86491 100.09995 100.23971 100.23971  99.72963  99.87993 100.06998 #>  [94711]  99.76472 100.19980 100.22974 100.06998  99.82485 100.05998  99.55401 #>  [94718]  99.97000  99.93498  99.64939  99.89995  99.86992 100.29955  99.64437 #>  [94725]  99.87492 100.06998  99.89995  99.71459  99.52889  99.62931  99.88994 #>  [94732] 100.41912 100.26465 100.21976 100.12992 100.43406  99.89494 100.53855 #>  [94739] 100.61312 100.27961 100.28460 100.19980  99.49372  99.93998 100.18982 #>  [94746] 100.18982 100.49378 100.30952  99.58916 100.03999  99.79980  99.94999 #>  [94753]  99.90996  99.95999 100.30454  99.93498  99.77475  99.63433 100.20978 #>  [94760] 100.13990  99.41831  99.70958  99.73966  99.77976  99.80982  99.66444 #>  [94767]  99.67949 100.22974 100.29955  99.82485 100.22475 100.34441  99.98000 #>  [94774] 100.37430  99.95499  99.81483  99.79479  99.66945 100.12492  99.92497 #>  [94781] 100.17984 100.19980  99.29250  99.86992  99.97500  99.55903 100.51865 #>  [94788]  99.70456 100.15488 100.15987 100.90590  99.89494 100.26964  99.47864 #>  [94795]  99.90996  99.86992 100.15488  99.38813 100.11493 100.18982  99.76472 #>  [94802]  99.80982  99.64437  99.79980  99.45351  99.95499  99.98000 100.25966 #>  [94809]  99.84989  99.88994 100.01000  99.49372  99.85489 100.51865 100.06998 #>  [94816] 100.58827  99.70456 100.44401 100.01000  99.59920  99.97500  99.65942 #>  [94823]  99.64939  99.69955  99.70456 100.44899 100.02500  99.35291 100.01000 #>  [94830]  99.60924 100.07497 100.29955 100.04499 100.23472 100.17984 100.03999 #>  [94837]  99.68450 100.26964  99.89995 100.15488 100.06498 100.13491 100.19481 #>  [94844]  99.96499  99.62429  99.88994  99.74467  99.88493 100.12992 100.15488 #>  [94851] 100.13491 100.02000 100.04499  99.37807  99.92998 100.49378  99.91997 #>  [94858] 100.40916 100.02500  99.94498  99.85990  99.91997 100.30454  99.96499 #>  [94865] 100.02000 100.13990 100.57336  99.97500 100.13990  99.66444  99.99500 #>  [94872] 100.09495  99.88493  99.51884  99.73966  99.97500 100.05498 100.11493 #>  [94879] 100.13491  99.58414  99.92998  99.68952 100.41912  99.89995  99.93998 #>  [94886] 100.28958  99.72462 100.30454  99.57911  99.95499 100.44401 100.40418 #>  [94893]  99.83486 100.04999  99.33277  99.84488 100.67770  99.88493  99.82485 #>  [94900] 100.36932 100.01500 100.00500  99.67949 100.36932  99.69453 100.20978 #>  [94907] 100.08496 100.49378  99.79479 100.44899  99.85990 100.01000  99.69955 #>  [94914]  99.91496 100.06498  99.86491  99.96499  99.47864 100.47388  99.78477 #>  [94921] 100.13491  99.18165  99.48869 100.34939 100.12492 100.15488 100.17984 #>  [94928]  99.68450 100.27462 100.11993 100.05998 100.54850  99.90495 100.13990 #>  [94935] 100.26964 100.54850  99.60422 100.13491  99.75971  99.72462  99.64437 #>  [94942] 100.21477 100.17485  99.77475 100.22475 100.19481  99.97500 100.24470 #>  [94949] 100.21976 100.05498  99.72462 100.00000 100.40418  99.57409 100.10494 #>  [94956]  99.93498 100.21477 100.02000 100.44401 100.16986 100.01500  99.83486 #>  [94963]  99.66945  99.72462  99.95499 100.12992 100.11993 100.45397  99.98500 #>  [94970] 100.28958 100.15987 100.28460  99.84488 100.12992  99.88994  99.87993 #>  [94977] 100.13990 100.33444 100.13990 100.50871 100.16486 100.02000  99.65440 #>  [94984]  99.60422 100.16986 100.06998  99.80481  99.81984  99.78978 100.39920 #>  [94991]  99.83486  99.59418  99.97000  99.88493 100.03499  99.85990  99.69955 #>  [94998]  99.83987 100.31949 100.17485 100.17485 100.19980 100.27462 100.32447 #>  [95005] 100.31451  99.90996 100.13491 100.00500 100.09495  99.98500 100.51368 #>  [95012] 100.00500 100.06498  99.71459 100.09995  99.16148  99.41831 100.27462 #>  [95019] 100.08996 100.10494 100.07997 100.32447  99.90996  99.91997 100.03499 #>  [95026]  99.70958 100.12492  99.94498 100.14490  99.64437 100.42410  99.68450 #>  [95033]  99.48869 100.13491 100.14989  99.83486  99.88994  99.74969 100.03000 #>  [95040]  99.70456 100.34939 100.24470  99.61928  99.93998  99.81984  99.97000 #>  [95047]  99.91496  99.76472 100.17984  99.73465 100.06998  99.79980 100.28460 #>  [95054] 100.74721  99.98000 100.06498 100.06498 100.24969 100.23472  99.77976 #>  [95061]  99.63935 100.23971 100.53358  99.81984  99.64939 100.09995  99.92497 #>  [95068]  99.95999 100.11493 100.04499 100.09495 100.22974 100.36434 100.27462 #>  [95075] 100.00500 100.49876 100.48383 100.32946  99.99000  99.89494 100.11993 #>  [95082] 100.01500  99.69453  99.92998 100.26465  99.55401 100.15987  99.78477 #>  [95089]  99.88493 100.43406  99.97000 100.18982  99.98000  99.94999 100.33444 #>  [95096] 100.10994 100.12492  99.95999 100.08496  99.70456 100.02500 100.15488 #>  [95103]  99.95499  99.63935 100.14989 100.63797 100.18483 100.35935 100.45397 #>  [95110] 100.10494  99.97500  99.41831 100.58330  99.92998  99.61426  99.61426 #>  [95117] 100.03999  99.77976  99.62429 100.03999  99.99000  99.89995 100.08496 #>  [95124] 100.20978 100.28460 100.16986 100.04499  99.73465 100.00000  99.84488 #>  [95131] 100.03499  99.90996 100.03499  99.69453 100.35935  99.90996 100.03999 #>  [95138]  99.79980 100.17984 100.25468 100.25966  99.71961 100.14490  99.55903 #>  [95145] 100.00500 100.19980 100.03999 100.26465  99.90495  99.59920  99.92497 #>  [95152] 100.65784 100.03499  99.61426 100.33942 100.57336 100.35437 100.01000 #>  [95159] 100.20479  99.89494  99.83486 100.24969 100.53358  99.72963 100.41912 #>  [95166] 100.22475 100.15488  99.80982 100.10494  99.56907  99.73465 100.48881 #>  [95173]  99.44848 100.39422 100.36932 100.03499  99.72462  99.71459 100.29457 #>  [95180]  99.90996 100.33444 100.39920 100.11493  99.97500 100.02500 100.11493 #>  [95187]  99.68450 100.22475 100.02500 100.17984 100.21976 100.21976 100.01500 #>  [95194]  99.74467  99.63433  99.78477  99.56405 100.26465  99.73966  99.52889 #>  [95201]  99.83486  99.79980 100.12992  99.61426 100.21477 100.40916 100.18982 #>  [95208] 100.36434  99.59920 100.08996 100.56838  99.51382 100.04999  99.38813 #>  [95215] 100.33444  99.65942 100.50871  99.81483  99.88493  99.87492 100.21477 #>  [95222] 100.03999  99.90495  99.94999  99.64939 100.10494 100.17984  99.86992 #>  [95229]  99.92998 100.27961 100.09495 100.23971  99.48367  99.88994  99.69955 #>  [95236]  99.84488 100.49876 100.49876  99.40825  99.95999  99.58414 100.13990 #>  [95243]  99.60422  99.77475 100.15987  99.87993  99.40825 100.21477 100.44401 #>  [95250] 100.23971  99.93498  99.59920  99.87492  99.32271 100.15987 100.19481 #>  [95257]  99.44345 100.08996  99.75470 100.03499 100.11493  99.57409  99.85489 #>  [95264]  99.76973 100.19481 100.32447 100.52363 100.30454 100.16986 100.29457 #>  [95271] 100.11493 100.22974 100.01500  99.87492  99.88493 100.48881  99.68952 #>  [95278] 100.38924 100.25468 100.31451  99.71961  99.91997  99.70958 100.54352 #>  [95285] 100.03999  99.71961  99.67949 100.06498  99.93998  99.91997  99.48869 #>  [95292]  99.88994  99.42837 100.12492 100.42908  99.65440 100.18483 100.18982 #>  [95299] 100.41912  99.95999 100.17984  99.42334 100.30952  99.75470 100.35437 #>  [95306]  99.77475  99.79479 100.07997 100.15987 100.50871  99.75470  99.66444 #>  [95313]  99.88994  99.36297 100.30952  99.69955  99.51382 100.00500 100.15987 #>  [95320]  99.92998 100.12992 100.04999 100.14490  99.76472 100.31949  99.70958 #>  [95327] 100.11493 100.28958  99.92998  99.88493  99.98000  99.86992  99.70958 #>  [95334]  99.92998 100.28460 100.50871  99.40322  99.34787  99.93498 100.24470 #>  [95341] 100.37928 100.05498 100.00500 100.07497 100.12992 100.00000  99.66945 #>  [95348] 100.02500 100.54352 100.00500  99.91997  99.93998 100.13491  99.56405 #>  [95355]  99.74969 100.05498 100.24470  99.86992 100.28958 100.36434  99.90996 #>  [95362] 100.04999  99.59418 100.08996  99.90495  99.45351 100.20978 100.17984 #>  [95369]  99.86491  99.76973  99.73966  99.62931  99.89494 100.03000  99.76472 #>  [95376] 100.33444 100.45397  99.80982  99.52387  99.65440  99.87492  99.92998 #>  [95383] 100.48881 100.19980  99.79980  99.84989 100.02000 100.58827  99.66945 #>  [95390] 100.06498 100.37928 100.21976  99.58414  99.99500  99.70958 100.23472 #>  [95397]  99.76973 100.36434  99.94999  99.86992 100.25468  99.90996 100.02500 #>  [95404] 100.69757  99.78477 100.53855  99.44345 100.16986 100.19481 100.50871 #>  [95411] 100.10994  99.68952 100.46890  99.72963 100.64293 100.03499 100.59821 #>  [95418] 100.18483 100.03499  99.78978 100.37928  99.48367  99.82485 100.01000 #>  [95425] 100.21976  99.69955  99.86491 100.16486 100.46392 100.61312 100.49378 #>  [95432] 100.16486  99.72462  99.79479  99.97000  99.68952 100.01000  99.86491 #>  [95439] 100.24969  99.82986 100.21976  99.60924  99.77475 100.63797  99.88994 #>  [95446]  99.76472  99.88994  99.64939 100.04999  99.91496 100.33444 100.02500 #>  [95453]  99.94999  99.92497  99.92998 100.10494  99.99000 100.45397  99.62429 #>  [95460]  99.52889  99.58414  99.81483  99.57911 100.05498  99.74969 100.82162 #>  [95467] 100.49378  99.89995 100.04499 100.16986 100.40916  99.54396  99.76973 #>  [95474] 100.24969 100.16486 100.14989  99.90996  99.82986  99.53894  99.74969 #>  [95481]  99.98000 100.07997  99.78477  99.79479 100.05998 100.25966  99.75971 #>  [95488]  99.83987  99.57911  99.32271  99.79980 100.04999 100.11493  99.47361 #>  [95495] 100.13491  99.98500  99.95999  99.73966 100.33444  99.98000  99.77475 #>  [95502]  99.85489  99.48869  99.83486 100.16986  99.97500 100.48383  99.95499 #>  [95509] 100.01000  99.90996 100.62803 100.22475 100.22475 100.29955 100.23472 #>  [95516]  99.51884  99.64437 100.18982  99.93998  99.86992 100.22475  99.93498 #>  [95523]  99.92497 100.33444 100.17984 100.15987 100.42908  99.84989  99.60422 #>  [95530] 100.26465 100.30952  99.74467 100.10494 100.65287 100.08996  99.60422 #>  [95537]  99.63935 100.04499  99.71961 100.14989 100.29457 100.22974 100.21976 #>  [95544] 100.32946  99.48367 100.27961 100.03999 100.04499 100.12492 100.01000 #>  [95551]  99.89494 100.52860 100.53855 100.47885 100.09995 100.15987 100.22974 #>  [95558] 100.44401 100.24969 100.24470 100.14490  99.80481 100.30952 100.37430 #>  [95565] 100.23971 100.36434  99.45351 100.50871 100.37928 100.25468  99.54898 #>  [95572]  99.93498  99.82986  99.38813  99.35291  99.80982 100.22974  99.55401 #>  [95579] 100.04499 100.32447  99.92998 100.07997 100.04499 100.02000 100.01000 #>  [95586] 100.12992 100.21976 100.06498 100.12492 100.23971 100.43904  99.84989 #>  [95593]  99.48869  99.88493  99.73966  99.83486 100.09995  99.41328  99.89995 #>  [95600] 100.37928 100.57833 100.52363  99.63433  99.71459 100.32447  99.98000 #>  [95607] 100.10994  99.80481 100.26964  99.61928 100.02500 100.19980  99.25724 #>  [95614]  99.91496 100.35935  99.90495 100.05998  99.83486 100.07997 100.06498 #>  [95621]  99.57911 100.09995 100.09995 100.49876  99.98000 100.06498 100.31949 #>  [95628] 100.23472 100.32946  99.92497  99.86491 100.15488 100.24470  99.57409 #>  [95635]  99.69453 100.19980 100.04499 100.08496 100.23472  99.99000  99.83987 #>  [95642] 100.08496  99.98000 100.57336 100.36932  99.58916  99.86992 100.14490 #>  [95649] 100.36434 100.24470  99.93498  99.79980 100.01000  99.80481  99.90495 #>  [95656]  99.55401 100.41912 100.10994 100.25966 100.19980  99.79479 100.25468 #>  [95663]  99.83486 100.37928 100.58330 100.07497  99.75971  99.71459  99.94999 #>  [95670] 100.04999  99.60422 100.14490 100.14989  99.99500  99.94498  99.91496 #>  [95677]  99.46356  99.81483  99.64939 100.19481  99.56907  99.84488  99.81483 #>  [95684] 100.17984  99.97000  99.77976  99.43842 100.38426 100.09995  99.73966 #>  [95691]  99.81984 100.00500  99.90495  99.81483  99.93998 100.17485 100.23472 #>  [95698] 100.12492 100.13990 100.31451  99.67447  99.76472  99.64437  99.97000 #>  [95705] 100.23971  99.96499  99.84989  99.57911  99.82986 100.05498  99.71961 #>  [95712]  99.48367  99.85489  99.72462 100.17485  99.54898 100.06498 100.21976 #>  [95719] 100.41912 100.34441  99.95999 100.39422 100.04499 100.24470  99.76973 #>  [95726] 100.29955  99.93498  99.72462 100.00000  99.72462  99.86491  99.88493 #>  [95733] 100.20978  99.82986 100.21976  99.95999 100.47885  99.76472  99.95999 #>  [95740] 100.17485 100.25966  99.98000 100.30454 100.09995 100.14490 100.59324 #>  [95747] 100.12992  99.65440 100.05998 100.44401  99.49874 100.05498  99.91997 #>  [95754] 100.24969  99.93998  99.78978  99.85489  99.77475  99.67447 100.13990 #>  [95761] 100.34441 100.15488 100.14490 100.24969 100.12492  99.48367 100.10494 #>  [95768]  99.75470 100.09995  99.86491 100.01500 100.44401  99.37303  99.81984 #>  [95775] 100.11993 100.16986 100.11493 100.10994 100.00500  99.52387 100.19481 #>  [95782] 100.14490  99.85489  99.72963  99.91997  99.74467 100.27462 100.03999 #>  [95789] 100.09495  99.98500  99.87492  99.80982 100.35437 100.09495  99.70456 #>  [95796] 100.20479  99.73966 100.08496  99.85990 100.39422 100.45895 100.17984 #>  [95803]  99.58916 100.02500  99.73966 100.20479  99.18165 100.07497  99.81483 #>  [95810] 100.08496 100.05998 100.59324  99.85990 100.05498  99.74969 100.00500 #>  [95817]  99.89995  99.76472  99.89995 100.27961 100.21976  99.92998  99.94498 #>  [95824]  99.65942 100.27462 100.05998 100.35437  99.69453  99.76472  99.80982 #>  [95831]  99.68952 100.30454 100.16986  99.94999  99.77475  99.69453 100.03000 #>  [95838] 100.22475 100.38426  99.77475  99.63433  99.87993 100.12492 100.03499 #>  [95845] 100.20978  99.76472  99.62429  99.57911 100.25966  99.66444  99.73966 #>  [95852] 100.04999 100.13990  99.94999  99.65440  99.52889 100.64790  99.64437 #>  [95859] 100.19481 100.02500  99.76973 100.19980 100.07997  99.59418 100.08996 #>  [95866]  99.67949 100.20978 100.04999  99.70958  99.45351 100.01000  99.59920 #>  [95873]  99.46356  99.90996  99.87492  99.82485  99.75971 100.22974  99.43339 #>  [95880] 100.11993 100.20479  99.67949 100.09495 100.05998  99.67949 100.16986 #>  [95887]  99.89494  99.76973  99.98500 100.10494  99.98000  99.98000  99.82986 #>  [95894] 100.22974  99.59418  99.52387 100.42908 100.74721 100.58330  99.98500 #>  [95901] 100.37928 100.38924 100.31949 100.49876  99.87492 100.00500  99.91997 #>  [95908]  99.27235 100.24470  99.84488  99.77976  99.96499 100.25468 100.13990 #>  [95915]  99.75470 100.24969  99.79980  99.87492 100.16486 100.15987  99.69453 #>  [95922] 100.03499  99.76973  99.98500  99.74467 100.11493 100.22974  99.99500 #>  [95929] 100.28460 100.19481  99.97500  99.75470  99.30760 100.00500 100.27462 #>  [95936] 100.78194 100.40916  99.73966  99.33781 100.12492 100.03000  99.90996 #>  [95943]  99.90996 100.32447  99.78477 100.24470  99.76973  99.97000 100.38426 #>  [95950]  99.22197  99.89995 100.32946 100.39422  99.94498  99.81483 100.71246 #>  [95957] 100.21477  99.67447  99.51884  99.80481  99.83987  99.91496  99.77475 #>  [95964]  99.41831  99.81984  99.46859 100.09495 100.42908  99.64939  99.49874 #>  [95971] 100.32447 100.03999  99.64437  99.51884  99.69955 100.10994 100.39920 #>  [95978] 100.18982  99.59920 100.13990 100.14989  99.94498  99.95499  99.84989 #>  [95985] 100.02500  99.85990 100.12992  99.91496  99.70456 100.00500  99.46859 #>  [95992] 100.13491 100.16486 100.29955  99.99500 100.21976  99.84488  99.52889 #>  [95999]  99.85990  99.85990  99.96499 100.05498 100.12492 100.18483 100.44899 #>  [96006]  99.75470  99.78978  99.88493  99.59418  99.47864  99.80982 100.03499 #>  [96013] 100.38924 100.11493 100.66777  99.74969  99.68450 100.08496 100.07997 #>  [96020] 100.14989 100.20978 100.69757  99.94999  99.78477  99.92998 100.07997 #>  [96027]  99.95999  99.79479 100.18982  99.43339  99.83486  99.93498  99.53894 #>  [96034] 100.09995  99.94498 100.21477  99.64437 100.05998 100.25468  99.82986 #>  [96041] 100.05998  99.63433  99.59418  99.86992  99.62931 100.11493 100.33444 #>  [96048] 100.52860 100.40418 100.14490 100.45895 100.60318 100.06998  99.94999 #>  [96055]  99.82986 100.11993 100.04499 100.06998 100.12992  99.19677 100.28958 #>  [96062]  99.70456 100.47885  99.90495  99.78477 100.11993  99.86491  99.70456 #>  [96069]  99.78978 100.11993  99.88493  99.72963 100.48383 100.01000 100.14490 #>  [96076] 100.18982  99.78477  99.86992  99.74969  99.86992 100.27462 100.43904 #>  [96083] 100.01000 100.00500  99.52387  99.85990  99.66444 100.38426 100.30952 #>  [96090]  99.53894  99.87993  99.71961 100.32946 100.19481 100.07497  99.50377 #>  [96097]  99.91496 100.04499 100.26465 100.05998 100.07997  99.93498  99.99000 #>  [96104] 100.20978  99.46356 100.44899 100.06998  99.59920 100.24969  99.19677 #>  [96111]  99.50377 100.01500 100.51865 100.00500  99.88493 100.04999  99.60924 #>  [96118] 100.28958  99.50377  99.75971 100.16486  99.57409  99.94498 100.32447 #>  [96125] 100.06998 100.16986 100.23472  99.87993  99.76472  99.96499 100.10994 #>  [96132]  99.90996  99.48367  99.77976  99.92998  99.79479 100.19481  99.99000 #>  [96139] 100.06998  99.55903  99.97000  99.51884  99.64437  99.77475  99.82485 #>  [96146]  99.84488  99.56907  99.97000  99.97500 100.23971 100.11993  99.85990 #>  [96153]  99.86992  99.81483  99.81483  99.63433 100.11493  99.93998  99.83486 #>  [96160] 100.43406  99.84488 100.13990 100.14490  99.85990  99.60422 100.09995 #>  [96167] 100.25966 100.18982  99.97000 100.51865  99.58916  99.80982  99.64939 #>  [96174] 100.33942  99.81984 100.05498 100.06498  99.79479  99.90495  99.92497 #>  [96181]  99.95499 100.41912 100.01000  99.94498  99.61426 100.05498 100.04999 #>  [96188] 100.55844 100.27961  99.72462  99.53894  99.84488 100.12492 100.11493 #>  [96195] 100.09995 100.44401  99.34284 100.13990  99.71961 100.20479 100.41912 #>  [96202] 100.23472  99.98000  99.82485  99.68952 100.41912  99.92497 100.13990 #>  [96209] 100.16986  99.47864 100.44401  99.68450  99.82986 100.04999  99.85990 #>  [96216]  99.83486  99.80982  99.75470 100.27961 100.06498  99.95999  99.82986 #>  [96223] 100.19481 100.46890  99.77976 100.33942  99.73465  99.57409  99.70456 #>  [96230]  99.40322 100.03499  99.93998 100.20978 100.18982 100.26964  99.84488 #>  [96237] 100.55347 100.33942  99.75470  99.63433  99.69955  99.67949 100.36434 #>  [96244]  99.55401 100.18483  99.86491  99.61928  99.97000 100.40916 100.32447 #>  [96251] 100.46890  99.59418 100.21477  99.74467  99.98000  99.82986 100.02500 #>  [96258]  99.83987  99.78477  99.83486  99.87993 100.22475  99.62429 100.23971 #>  [96265]  99.79479 100.09495 100.03499 100.06998  99.62931  99.99500  99.87492 #>  [96272] 100.53855  99.67949 100.01500  99.91496  99.79479  99.98000 100.07497 #>  [96279]  99.89494  99.82485 100.44401 100.39920  99.76973  99.87993  99.67949 #>  [96286] 100.10494  99.80982  99.82485 100.01000 100.19481 100.09995 100.21477 #>  [96293] 100.24470 100.30952  99.82986 100.21477 100.29955 100.43406 100.61312 #>  [96300]  99.85990  99.55903 100.27462 100.24969  99.89995  99.66945 100.24470 #>  [96307] 100.14989 100.16986 100.92076 100.03000 100.06498 100.07497  99.92998 #>  [96314] 100.15488  99.59920  99.52387  99.99000 100.18982  99.75470  99.84488 #>  [96321] 100.00500 100.50373  99.69955  99.91997  99.98500 100.06998 100.32447 #>  [96328] 100.09995 100.20978 100.52860  99.97500  99.97500  99.68952  99.75470 #>  [96335] 100.03999 100.35935 100.34441 100.28460 100.38426  99.37303 100.00500 #>  [96342]  99.59920  99.86491 100.03000  99.40322 100.05998  99.40825 100.41912 #>  [96349] 100.07497 100.17485  99.64437 100.10494  99.64437 100.07497  99.65440 #>  [96356]  99.28243 100.27462 100.29457 100.06498 100.10494  99.52387  99.84989 #>  [96363]  99.77475 100.34441 100.26964 100.43904  99.71459  99.68450  99.84989 #>  [96370] 100.00500  99.98500 100.01500  99.52889 100.40916  99.98000 100.06998 #>  [96377] 100.05498 100.49378  99.73966 100.35437 100.53358 100.17984 100.06998 #>  [96384] 100.19481 100.29457 100.33444 100.20978 100.43406 100.45397 100.28958 #>  [96391]  99.66444 100.20978 100.23971 100.15987 100.18483 100.05498 100.27961 #>  [96398]  99.54396 100.42908 100.38924  99.82485 100.28460 100.07497 100.14490 #>  [96405] 100.27961 100.24969  99.91997  99.88994 100.00500 100.46392 100.11993 #>  [96412]  99.99500  99.57911  99.61928 100.10994  99.81483  99.98500  99.81984 #>  [96419] 100.13990  99.87492  99.70456  99.88994  99.89494 100.49378 100.31949 #>  [96426] 100.31451  99.42837 100.18982  99.78978  99.67447 100.03000  99.59418 #>  [96433]  99.54396 100.68267 100.62306 100.20479  99.28243  99.71961 100.12992 #>  [96440]  99.96499  99.78477  99.30257 100.13990  99.96499 100.05998 100.06998 #>  [96447] 100.01000 100.04499 100.19481 100.53358  99.83987  99.81984 100.33942 #>  [96454] 100.14490 100.15488 100.09495 100.17485 100.01500  99.76973  99.69955 #>  [96461] 100.47885 100.48881 100.00500 100.08996 100.26964  99.98000  99.92497 #>  [96468] 100.38924 100.10494  99.94999  99.95499 100.53855 100.09995  99.87492 #>  [96475] 100.16986  99.86491  99.71459  99.68450 100.52363  99.60924 100.37928 #>  [96482] 100.08496  99.93498 100.12992  99.79980  99.33781 100.16486 100.49876 #>  [96489]  99.92497  99.72963  99.73465  99.82986  99.92998 100.03000  99.38310 #>  [96496] 100.06498  99.88994  99.93998  99.95499  99.59920 100.23472  99.85990 #>  [96503] 100.14989  99.57911 100.04499 100.09995 100.50373  99.86491  99.93998 #>  [96510] 100.24470  99.93498  99.70456 100.00000  99.69453  99.99500 100.20978 #>  [96517] 100.44899 100.44899 100.10494 100.03999  99.94498  99.89995 100.45895 #>  [96524] 100.05498  99.69453 100.10494  99.69453  99.72462  99.97000 100.40916 #>  [96531] 100.22974 100.08496 100.03499 100.12992 100.15488  99.75971  99.73966 #>  [96538]  99.90996  99.68450  99.56405 100.27462  99.45853  99.67949  99.70958 #>  [96545]  99.94999 100.19481  99.81483 100.14989  99.54396 100.03499  99.76472 #>  [96552]  99.84488 100.22475 100.38924  99.84989  99.73465 100.05998  99.31767 #>  [96559]  99.87492 100.02000 100.55347  99.68952  99.72963  99.46356 100.31949 #>  [96566] 100.09995  99.95999 100.44401 100.05998 100.02000  99.78477  99.62429 #>  [96573]  99.72963 100.19481  99.95499  99.87492  99.83486 100.25966  99.70456 #>  [96580]  99.63433  99.74969  99.41328  99.78978 100.06498 100.16486 100.25966 #>  [96587] 100.20479 100.19481 100.14989  99.45853  99.83987  99.53894  99.78477 #>  [96594]  99.77976 100.04499 100.26465 100.01000  99.90996 100.30454  99.95499 #>  [96601] 100.06498 100.30454 100.02000  99.97500 100.67274  99.61426 100.03999 #>  [96608] 100.33444  99.73465  99.76472  99.56907  99.73465 100.34441  99.84989 #>  [96615]  99.98500 100.28958  99.64437 100.38426 100.09495  99.37807 100.40916 #>  [96622]  99.83987  99.79980 100.09495 100.28958 100.33444 100.19481  99.80481 #>  [96629]  99.68450 100.45895  99.76973 100.54352 100.15488 100.24470  99.96499 #>  [96636]  99.94999  99.78978  99.87993 100.17984 100.37928  99.94999  99.74467 #>  [96643] 100.32447 100.69757 100.25468 100.49876  99.69955  99.90996  99.72462 #>  [96650]  99.72462  99.69955  99.81984 100.24470  99.82986 100.06998 100.02500 #>  [96657]  99.97000  99.44848  99.78477  99.53894 100.05998  99.91496 100.14989 #>  [96664]  99.54898 100.14989 100.14989 100.00500 100.30454  99.86992 100.32946 #>  [96671] 100.27961  99.86491 100.51368 100.20479 100.45895  99.49372  99.87993 #>  [96678]  99.83987  99.84989  99.98500  99.87492  99.69955 100.39920 100.18982 #>  [96685]  99.84989 100.26964 100.39920 100.09995 100.17485 100.08496  99.55401 #>  [96692] 100.19980 100.07997  99.96499  99.40322  99.90495  99.81984 100.17485 #>  [96699] 100.18483 100.04499  99.84488 100.19481  99.42837  99.83486 100.06498 #>  [96706]  99.83987  99.93498  99.85990 100.37430 100.05498  99.80481  99.57911 #>  [96713] 100.32946 100.05998 100.02500 100.19980 100.07997  99.86992  99.56405 #>  [96720] 100.46890  99.97500 100.33942 100.27961  99.83486 100.25966  99.42837 #>  [96727]  99.66945 100.20978  99.86992  99.73966  99.90495 100.14989 100.35935 #>  [96734]  99.88493  99.74969  99.96499  99.38813  99.93998  99.95999  99.44345 #>  [96741] 100.37928  99.70456  99.91496  99.95499  99.96499  99.98500  99.43339 #>  [96748]  99.81984 100.04999  99.43842 100.39422  99.91997  99.94498  99.86992 #>  [96755]  99.95999  99.64437  99.75971 100.01500 100.29457 100.13990 100.16986 #>  [96762] 100.17984  99.98000  99.83486  99.61426 100.53855  99.80982  99.73465 #>  [96769] 100.51368  99.86992  99.61426 100.03499  99.69453  99.98500  99.67447 #>  [96776]  99.51884 100.29457 100.42908 100.32946 100.13491 100.37430  99.80481 #>  [96783] 100.23971 100.30952 100.04999  99.92497 100.26964  99.40322 100.27961 #>  [96790]  99.84989 100.16986 100.43406  99.98000 100.29955 100.10994  99.81984 #>  [96797] 100.40916 100.43904 100.31451  99.71961 100.06998 100.22475  99.95999 #>  [96804] 100.22974  99.94999 100.38924  99.73966  99.80481  99.65440 100.27462 #>  [96811] 100.26465 100.07497  99.74467 100.22475  99.83486 100.07997  99.84989 #>  [96818]  99.77976  99.93998  99.99000 100.32447  99.84989 100.19481 100.06498 #>  [96825] 100.13491  99.94498  99.90996  99.53391 100.08496  99.93998 100.21976 #>  [96832] 100.21477 100.61312  99.69955 100.37430  99.99500 100.23971  99.82986 #>  [96839]  99.72462  99.64939 100.14989 100.12492  99.67949 100.05998  99.64939 #>  [96846]  99.99000 100.19980 100.05998 100.31949 100.18982 100.19481  99.85990 #>  [96853] 100.16486  99.84488  99.50879  99.47361  99.97500 100.21976 100.05998 #>  [96860] 100.47388  99.58414  99.62931  99.95499  99.88994 100.02000  99.60924 #>  [96867] 100.02000 100.21976  99.89494 100.04999  99.57409 100.08496  99.91997 #>  [96874]  99.71459  99.37303 100.42908 100.05498 100.13990 100.22974 100.20978 #>  [96881]  99.87993 100.00000 100.32946  99.63935 100.09495 100.39920  99.75971 #>  [96888] 100.21477  99.88493  99.81483 100.54352 100.35935 100.49378 100.06998 #>  [96895] 100.00000  99.70456  99.30257 100.00000 100.32447  99.48869 100.57833 #>  [96902] 100.37928 100.29955  99.65440 100.17485 100.13990 100.29955 100.10494 #>  [96909]  99.78477  99.28243  99.58916  99.89995  99.54396 100.15488 100.10994 #>  [96916] 100.47885 100.01000 100.26964  99.97000 100.15987  99.68450 100.36932 #>  [96923]  99.98000  99.40825  99.66444  99.98500 100.03999 100.36434  99.85990 #>  [96930] 100.05998  99.58916 100.07497  99.40825 100.04999  99.65942  99.97000 #>  [96937]  99.92497  99.89995  99.81483  99.67447 100.18483  99.52889 100.23971 #>  [96944] 100.30952  99.99500  99.81984 100.17984 100.07997  99.67447  99.92497 #>  [96951] 100.09995 100.19481 100.43406  99.73966 100.31451  99.62931  99.99500 #>  [96958]  99.78477 100.32447  99.84488 100.10994  99.60422 100.14490  99.49874 #>  [96965] 100.09995 100.05998  99.95499 100.32946  99.79980  99.88994  99.94999 #>  [96972] 100.14490  99.64939  99.53391  99.90996  99.71961 100.26465  99.94999 #>  [96979]  99.68450  99.85489  99.76973  99.93498 100.03000  99.80481  99.90996 #>  [96986] 100.42908 100.11493 100.34441 100.18483  99.96499  99.44848  99.70958 #>  [96993]  99.88994  99.90996  99.88493 100.22475 100.19980 100.04999  99.41328 #>  [97000] 100.31451 100.36434 100.26465 100.43904  99.84488  99.84989 100.26964 #>  [97007]  99.57409  99.88493  99.78477  99.91496 100.26964 100.20978  99.97000 #>  [97014]  99.85990  99.87492 100.11993  99.93998  99.69955  99.72462 100.38924 #>  [97021] 100.39920 100.70750 100.19481  99.88994  99.73966  99.36800  99.69955 #>  [97028] 100.02000 100.56838  99.80481  99.78477  99.88493  99.58414 100.32447 #>  [97035] 100.12992  99.71961  99.84989 100.49876  99.65942  99.71459  99.83987 #>  [97042]  99.77976  99.62429 100.09495 100.10494  99.77475 100.03999  99.99000 #>  [97049] 100.72735  99.98500 100.02000 100.20479 100.31949  99.69453 100.19980 #>  [97056]  99.57409 100.02500 100.51368  99.77475 100.48383 100.11493  99.87993 #>  [97063]  99.70456 100.11993 100.28460  99.47361 100.06498 100.29457 100.11493 #>  [97070]  99.96499 100.27961  99.95499  99.84488  99.80982  99.99500  99.55401 #>  [97077] 100.09495 100.15987  99.87993  99.86992 100.26465 100.27961  99.88493 #>  [97084] 100.15488  99.88994 100.64790  99.62931  99.73465  99.97000 100.63300 #>  [97091]  99.71961 100.16486  99.98500  99.62429 100.59324  99.77475  99.94498 #>  [97098]  99.72963 100.39920 100.00500  99.76973 100.17984  99.99500 100.06998 #>  [97105]  99.79980  99.69453  99.92998  99.88493 100.29457 100.06998  99.96499 #>  [97112]  99.78477 100.63300  99.71459 100.62803 100.45895 100.37928 100.19980 #>  [97119]  99.78978  99.97000  99.81984  99.47361 100.17984  99.78477  99.70958 #>  [97126]  99.87492 100.33444 100.31949  99.69955 100.09995 100.19980 100.18483 #>  [97133] 100.14490  99.97500  99.83486 100.25468 100.11993  99.43339 100.09995 #>  [97140]  99.94999  99.98000 100.09495  99.69453 100.37928  99.85489  99.88994 #>  [97147]  99.22701  99.95499  99.57409 100.14490  99.94498 100.17485  99.61426 #>  [97154] 100.41912 100.19481  99.97500  99.79479  99.38813 100.35437 100.04499 #>  [97161] 100.08496  99.86992  99.64437  99.83987 100.63300 100.57336 100.13990 #>  [97168]  99.81483  99.99000  99.70958  99.94498 100.36932  99.85489  99.55401 #>  [97175] 100.08496 100.10494  99.92497  99.80481 100.12492 100.39920 100.46392 #>  [97182]  99.80481  99.76973  99.87492 100.41414  99.78477 100.24470 100.16486 #>  [97189]  99.71459 100.03499  99.64939  99.95999  99.64437  99.97500  99.87492 #>  [97196] 100.03499 100.17485 100.01500  99.99000  99.92497 100.12492  99.92497 #>  [97203]  99.62429 100.03000  99.70958 100.31949 100.02000 100.25468  99.61928 #>  [97210] 100.15987  99.85489 100.47885  99.60924 100.29955  99.52387 100.29955 #>  [97217]  99.54396 100.05498 100.58827 100.11993  99.59418  99.49372  99.56907 #>  [97224]  99.85489 100.04999 100.00500  99.70958 100.15987 100.02500  99.96499 #>  [97231]  99.79479  99.58916  99.86491  99.98000  99.74969 100.34939  99.56907 #>  [97238]  99.81984 100.11493  99.94999  99.96499 100.40916  99.84989  99.88994 #>  [97245] 100.18982 100.03499 100.21477 100.43904 100.13491 100.37928  99.94498 #>  [97252]  99.96499  99.71459 100.04999 100.11993  99.85990 100.13990 100.22974 #>  [97259] 100.62803 100.25468 100.25468 100.42908  99.89494  99.83486  99.55401 #>  [97266] 100.20479 100.38426 100.11993 100.25468  99.84989 100.08496  99.49874 #>  [97273]  99.78978  99.80481 100.11493  99.72963 100.04999 100.18982  99.68952 #>  [97280] 100.29955 100.43406  99.73966  99.78477 100.08496 100.30952  99.92497 #>  [97287]  99.93998 100.28958  99.61928  99.87993  99.92497 100.30952  99.59920 #>  [97294] 100.54850  99.73465 100.18483 100.18982  99.82485 100.13990 100.30952 #>  [97301]  99.49372 100.15488  99.94999 100.31949 100.05498  99.84488  99.89995 #>  [97308] 100.26964 100.53855 100.14989  99.95999  99.88493  99.84989  99.75470 #>  [97315] 100.39920 100.05998 100.33942  99.68450  99.85489 100.13990 100.03499 #>  [97322]  99.51884 100.39422 100.42908 100.03499  99.78978 100.38426 100.06498 #>  [97329] 100.19980 100.03999 100.02500 100.42908 100.21976 100.28958  99.78477 #>  [97336] 100.01000  99.95499 100.05498  99.96499  99.85489 100.68267 100.11493 #>  [97343] 100.12492 100.23472  99.85489  99.53391  99.60924  99.62429  99.62429 #>  [97350] 100.06498 100.29955 100.41912  99.98500 100.55844 100.08496 100.22475 #>  [97357] 100.32946 100.18483  99.74467 100.38924  99.72462  99.55401 100.30952 #>  [97364] 100.17984  99.99000 100.17984  99.69453 100.27961  99.84989 100.18483 #>  [97371]  99.84989 100.21976 100.51865 100.07997  99.85990 100.02500 100.59821 #>  [97378]  99.82986 100.09995 100.38924  99.35794 100.06498 100.38426 100.60815 #>  [97385]  99.73966 100.04999 100.25966  99.52387 100.16486 100.40418 100.14490 #>  [97392] 100.02000  99.96499 100.03499  99.66444  99.69955 100.12992 100.39920 #>  [97399] 100.14989 100.52860 100.15987 100.04499 100.02000  99.88493  99.80982 #>  [97406] 100.34441 100.28460 100.17485 100.23472  99.75971  99.92497 100.11493 #>  [97413] 100.09995 100.41414 100.38426  99.77475  99.80481 100.37928  99.90495 #>  [97420]  99.74969  99.89995  99.74467 100.37928  99.89494 100.08496 100.14490 #>  [97427] 100.22475 100.17485  99.81984  99.89995 100.12492 100.28460  99.45853 #>  [97434] 100.40418 100.24969  99.76472  99.50879  99.67949 100.21976 100.54352 #>  [97441]  99.94999  99.72963 100.33444  99.82986  99.74467 100.18982 100.28460 #>  [97448] 100.31949  99.92497  99.64939  99.71459  99.96499 100.21976  99.58916 #>  [97455]  99.97500 100.16986  99.79479 100.00000  99.47864  99.88994 100.56838 #>  [97462]  99.73966 100.33942  99.45351  99.62429 100.19980  99.99500  99.86491 #>  [97469]  99.79980 100.55844  99.95499  99.72963  99.98000 100.03499  99.89995 #>  [97476]  99.96499 100.51368 100.22475  99.58414  99.64939 100.17485 100.21976 #>  [97483] 100.15987 100.18982  99.92497 100.03999  99.60422  99.68952 100.10494 #>  [97490] 100.30952  99.82986 100.09995 100.50871  99.74467  99.79479 100.17485 #>  [97497] 100.09495 100.35935 100.40418  99.57911 100.00500  99.86491 100.13491 #>  [97504] 100.68764 100.22974 100.35437 100.15488 100.40418  99.82986  99.86491 #>  [97511]  99.93498  99.81483 100.23971  99.95999  99.73465 100.34939 100.12492 #>  [97518]  99.79479 100.25468 100.19481  99.60924 100.08996 100.47885  99.93498 #>  [97525] 100.07997 100.11993 100.36434 100.43406 100.32946  99.77475  99.67949 #>  [97532] 100.06498 100.42908  99.78477 100.19980  99.69955 100.10994  99.92497 #>  [97539]  99.58414 100.42410  99.82485 100.10494  99.38813 100.40418  99.74969 #>  [97546] 100.26964  99.85489 100.62306  99.67447  99.91496 100.04999  99.67949 #>  [97553] 100.33444 100.18982 100.02500 100.13491 100.36932 100.15488  99.69453 #>  [97560] 100.60318 100.04499  99.43339 100.18483  99.68450  99.91997  99.84989 #>  [97567]  99.79980 100.33444 100.11993 100.23971 100.12492 100.19481  99.80982 #>  [97574]  99.82986 100.38924 100.10994 100.34441 100.58330 100.44899  99.99000 #>  [97581] 100.02000 100.04999 100.13491  99.91997  99.87492  99.74969 100.38426 #>  [97588] 100.00500  99.77475 100.14989 100.22475 100.14490 100.22475 100.58330 #>  [97595]  99.87993 100.01500 100.13491 100.19980 100.06498  99.70958  99.50377 #>  [97602]  99.85990 100.16486  99.89494  99.83987  99.96499 100.10494  99.71961 #>  [97609]  99.54898  99.86491 100.02500  99.57409  99.80481 100.10494 100.33942 #>  [97616] 100.41414  99.76973 100.30454 100.42908  99.63935 100.44899  99.84989 #>  [97623] 100.28460  99.86992  99.85489  99.48367  99.85489 100.19481  99.47361 #>  [97630] 100.19980  99.88994  99.87993  99.70958  99.71459 100.04999  99.86491 #>  [97637] 100.00500  99.83987  99.91496 100.28958 100.33942 100.14989  99.93998 #>  [97644]  99.86491  99.58414 100.16986  99.60924 100.60318 100.04999  99.76472 #>  [97651] 100.19980  99.70958  99.69453 100.40916 100.51865  99.81984  99.86491 #>  [97658]  99.85990 100.09995  99.41328  99.73465 100.41912  99.64437  99.78477 #>  [97665] 100.36434 100.18483  99.88994 100.32447 100.00500  99.99500 100.68764 #>  [97672]  99.31264  99.89995  99.87993 100.09995  99.67949  99.97500 100.06498 #>  [97679]  99.72462 100.22475  99.71961  99.80481  99.77475 100.29457  99.44345 #>  [97686]  99.91997 100.01000 100.18982 100.03499 100.13491 100.25966  99.70958 #>  [97693] 100.17485 100.07497  99.84488  99.40825 100.14989  99.87993  99.61928 #>  [97700]  99.98000  99.86491  99.99000  99.88493  99.86992 100.05998 100.09495 #>  [97707] 100.23971  99.22197  99.95999  99.39819  99.87993 100.13491 100.23472 #>  [97714]  99.98500  99.99000  99.54898 100.13491  99.63935 100.40418 100.41414 #>  [97721] 100.04499 100.31949 100.19481  99.87492  99.62931 100.39422  99.48367 #>  [97728] 100.13990 100.11493 100.08496 100.17984  99.24717  99.79479  99.53391 #>  [97735]  99.84989  99.70456  99.66945  99.66444 100.09995 100.58827 100.09495 #>  [97742] 100.27462  99.63935 100.69757 100.37928 100.40418  99.89995 100.02500 #>  [97749] 100.33444 100.41912 100.23971  99.84488 100.52363 100.04999 100.31949 #>  [97756]  99.45351 100.04999  99.68952 100.26964 100.36932  99.81984 100.08996 #>  [97763] 100.14989 100.31949 100.32946 100.16486 100.30454  99.82485 100.01500 #>  [97770] 100.02000 100.14989 100.15488  99.84989 100.11493  99.74969  99.75470 #>  [97777]  99.90996 100.21477 100.07997 100.32447 100.05998 100.28958 100.04999 #>  [97784] 100.22475  99.87993 100.25966 100.19481  99.87993  99.97000 100.12992 #>  [97791] 100.19980  99.67949 100.00500  99.82986  99.92998  99.79479 100.18982 #>  [97798] 100.20479 100.39920 100.16986 100.23971 100.44899 100.50871 100.10494 #>  [97805]  99.77976 100.38426 100.21477 100.16486  99.42334  99.95999  99.91496 #>  [97812] 100.25966 100.04999  99.87492  99.96499 100.08996  99.57409 100.21477 #>  [97819] 100.45895  99.74467  99.39819  99.78477 100.47885  99.79980 100.25468 #>  [97826]  99.98500  99.79980 100.26964  99.55401 100.27961 100.17984 100.03499 #>  [97833]  99.77475  99.50879 100.14490  99.91496  99.57911 100.06498  99.70958 #>  [97840] 100.32447  99.91997 100.46392 100.09995 100.22974 100.23971  99.83486 #>  [97847]  99.83987 100.39422  99.83486  99.97000 100.02000  99.51884  99.69955 #>  [97854] 100.30454 100.12992  99.80481 100.00000  99.81483  99.94498  99.63433 #>  [97861] 100.32447  99.72963 100.17485 100.02000  99.78477 100.15987  99.78477 #>  [97868]  99.81984 100.12492  99.93498 100.04499 100.39920  99.71961 100.26964 #>  [97875]  99.62429 100.21976 100.38426  99.53391  99.84989 100.08496 100.15488 #>  [97882] 100.40418 100.30952  99.63935 100.04499  99.20685  99.55903 100.10494 #>  [97889] 100.44899  99.42837 100.07497  99.95999 100.26465  99.74969 100.34441 #>  [97896]  99.67447  99.64437 100.22475 100.22475 100.38426 100.29955 100.23971 #>  [97903]  99.84989 100.30952 100.00000 100.01000  99.85990 100.16986 100.22475 #>  [97910] 100.02500 100.35935  99.54898  99.84488  99.72963 100.51865 100.04499 #>  [97917] 100.03999  99.79479 100.40916  99.31264  99.75971  99.84488  99.93498 #>  [97924]  99.66945  99.92998 100.27462  99.87993 100.17984  99.89995  99.75971 #>  [97931] 100.43406  99.38310 100.26964  99.96499 100.42410 100.06998  99.84488 #>  [97938] 100.00000  99.73465 100.44401 100.15488  99.87993  99.83987  99.82986 #>  [97945]  99.62429  99.55401  99.52387 100.22974 100.17485  99.52889 100.01500 #>  [97952] 100.11493  99.66444  99.80982  99.42837 100.01500 100.69260 100.25468 #>  [97959]  99.75470  99.52387 100.00500  99.70456 100.05998  99.98500 100.15987 #>  [97966]  99.72462  99.67949  99.61928 100.46890 100.17984  99.93998  99.58414 #>  [97973] 100.19481  99.80481 100.24969  99.82986  99.95999 100.03000 100.80179 #>  [97980] 100.01000  99.77475  99.61928 100.27961 100.13990 100.07997 100.45397 #>  [97987] 100.07997 100.47388 100.10994 100.07997 100.02500 100.18483  99.59418 #>  [97994]  99.68952 100.53855  99.50879 100.41414  99.86992 100.27961 100.14490 #>  [98001] 100.02500  99.90996  99.87993  99.98500  99.74467  99.48367 100.47388 #>  [98008] 100.23971  99.61426 100.22974  99.87993  99.73966 100.38426  99.59418 #>  [98015] 100.20479 100.00000 100.37430  99.89494 100.06498 100.15488  99.73966 #>  [98022]  99.30257 100.09495 100.03000  99.98000  99.68952 100.12492  99.84989 #>  [98029]  99.81483  99.67447 100.04999  99.77475  99.94999  99.88493 100.31451 #>  [98036] 100.14490  99.99000  99.54898  99.64437 100.13990  99.80481 100.11493 #>  [98043] 100.06498 100.12992 100.22974 100.07997 100.24969 100.12992  99.82485 #>  [98050] 100.09495 100.13491 100.47885  99.96499 100.22974  99.88994  99.89995 #>  [98057] 100.17984 100.11493 100.08496 100.00000  99.57911  99.73966  99.77475 #>  [98064] 100.29955 100.17984  99.76472 100.02500 100.23472 100.40418 100.15987 #>  [98071] 100.36932  99.57409  99.93998 100.08996  99.83486 100.05498  99.82485 #>  [98078] 100.16986 100.01000 100.26964  99.90996  99.90495  99.64437  99.85990 #>  [98085] 100.14490 100.30454 100.08996 100.14989 100.30454  99.82485 100.31949 #>  [98092] 100.10494 100.41912  99.90495 100.16486  99.74969  99.87993  99.84989 #>  [98099] 100.24470  99.80481 100.70253  99.67949  99.73465  99.81984 100.01500 #>  [98106]  99.34787  99.88994 100.18483  99.91997  99.84989 100.44899  99.93998 #>  [98113]  99.46859 100.38426  99.92497 100.11493  99.97000 100.16486  99.98000 #>  [98120]  99.98500 100.27961 100.29457 100.05998 100.09495 100.37430 100.44899 #>  [98127]  99.78477 100.03000  99.77475  99.94999  99.94999  99.82986  99.62931 #>  [98134]  99.75470  99.83486  99.95499 100.18483 100.25966 100.03499  99.64939 #>  [98141] 100.00000 100.06498 100.29457  99.91496  99.40322 100.10494  99.92497 #>  [98148]  99.46356 100.14989  99.98500  99.97500  99.94498 100.26964  99.68952 #>  [98155]  99.68952 100.10494  99.77976 100.66777  99.80982 100.13491  99.52387 #>  [98162]  99.62429 100.22974  99.60924  99.90495 100.08496  99.51382 100.15488 #>  [98169]  99.95499  99.98500  99.72462 100.24969  99.81483  99.62931 100.28460 #>  [98176]  99.94498  99.64437 100.13990 100.22974 100.21477 100.12992 100.30454 #>  [98183]  99.43842  99.90996 100.24969 100.04999 100.06498  99.90495 100.10994 #>  [98190]  99.33781 100.39422  99.68450 100.24470  99.94498 100.03999 100.30454 #>  [98197] 100.00500 100.20479 100.13491 100.32447 100.20479  99.75971 100.01500 #>  [98204] 100.34441 100.36932 100.47885  99.83486 100.39920 100.70750  99.78978 #>  [98211] 100.19980 100.19481  99.79980  99.92497  99.70958  99.92497 100.01000 #>  [98218] 100.58827 100.22475  99.85489  99.56405  99.55903 100.52860 100.01500 #>  [98225] 100.35437  99.51884 100.12492 100.11493 100.03000 100.04499 100.36932 #>  [98232] 100.03999 100.28958 100.19980  99.56405 100.07497 100.07997  99.66945 #>  [98239]  99.76472  99.93998  99.76973 100.25468  99.77475 100.03499 100.10994 #>  [98246]  99.80481  99.77475  99.96499 100.35935 100.27961  99.98000  99.20181 #>  [98253] 100.32447 100.03999 100.12992 100.39920 100.26964  99.42334  99.77976 #>  [98260] 100.17485 100.08496 100.12492 100.09495  99.89494 100.09995  99.81483 #>  [98267]  99.94498 100.32447  99.73966  99.76973 100.02500  99.73966  99.87993 #>  [98274] 100.52363  99.95999 100.24969  99.94999 100.06998  99.48367  99.53894 #>  [98281]  99.92998 100.00000 100.49378 100.23971 100.13491 100.44401 100.11993 #>  [98288]  99.73966 100.06998  99.65942 100.27462 100.18982  99.56907  99.93498 #>  [98295]  99.71459 100.09995 100.33444  99.90495  99.91496 100.01500  99.61426 #>  [98302] 100.08496 100.30952  99.56907  99.99500 100.60815 100.37928 100.36434 #>  [98309]  99.76472  99.94999  99.87993  99.73465  99.59418  99.86491 100.08996 #>  [98316]  99.91496  99.78978 100.00500 100.10994  99.70958 100.24470  99.44848 #>  [98323]  99.65942 100.34939  99.83486 100.50373 100.43406 100.03499 100.27961 #>  [98330] 100.59324  99.39316 100.23971 100.01000  99.63935 100.15488  99.65942 #>  [98337] 100.40916  99.76472 100.66777  99.54898  99.50879 100.57833  99.80481 #>  [98344]  99.96499  99.87993 100.06998 100.25966  99.51884 100.09995 100.35437 #>  [98351]  99.97500 100.09495  99.82485  99.86992  99.90495 100.37430  99.76973 #>  [98358]  99.58916  99.85489  99.65942 100.00500  99.76973  99.83486 100.17984 #>  [98365]  99.91997  99.91496  99.86992  99.97500  99.85990 100.23472 100.17485 #>  [98372]  99.83987 100.37430 100.04999 100.22974  99.59418  99.65440 100.25966 #>  [98379]  99.86992 100.27961  99.82986  99.93998 100.48383  99.77976  99.68450 #>  [98386] 100.09495 100.07997  99.49372  99.90996  99.75470  99.92497  99.76973 #>  [98393] 100.29457  99.56907 100.34939 100.29955  99.82485 100.26964  99.62429 #>  [98400] 100.27462  99.80481 100.28460 100.23472 100.16986  99.98500  99.61426 #>  [98407]  99.88994  99.67949  99.89494 100.55347 100.33444  99.67949  99.87492 #>  [98414] 100.03999 100.39920 100.16986 100.19980 100.27961 100.36932  99.72963 #>  [98421] 100.51865 100.03999 100.49876 100.23472  99.95499 100.16986  99.90495 #>  [98428] 100.26964  99.42334 100.19980 100.73232 100.40418 100.29457 100.24470 #>  [98435]  99.86491 100.40418  99.88994 100.28460 100.03999  99.84989 100.05498 #>  [98442] 100.02000 100.12492 100.45895 100.01000 100.06498 100.29955 100.14490 #>  [98449] 100.09495  99.48367  99.71459  99.80982  99.76472  99.47361  99.95999 #>  [98456]  99.88493  99.88994  99.89995 100.20978 100.06498  99.89995  99.80481 #>  [98463] 100.25468  99.52889 100.19980  99.70456  99.90495  99.76973 100.00000 #>  [98470]  99.86491  99.44848  99.44848  99.89995 100.51368  99.42334  99.91997 #>  [98477] 100.53855 100.08996 100.23971 100.07497  99.92497  99.85489  99.75470 #>  [98484]  99.69955  99.84989  99.94999 100.09995  99.66945  99.80982 100.34939 #>  [98491] 100.24969 100.08496 100.17485  99.66444  99.84488 100.05498 100.05498 #>  [98498] 100.16986 100.16486 100.09995 100.34939  99.82485 100.08496  99.97000 #>  [98505]  99.77475 100.17485  99.56907 100.58827 100.05998 100.02500 100.06998 #>  [98512]  99.80481 100.39920 100.09995 100.24969  99.89494  99.88994 100.02500 #>  [98519]  99.50879 100.12992 100.31949  99.97000 100.08996 100.03999 100.29955 #>  [98526]  99.68952 100.38426 100.16486 100.01000  99.54898  99.76472  99.98000 #>  [98533] 100.26465 100.35437 100.21477 100.56341 100.15488  99.77976  99.89494 #>  [98540] 100.23472 100.09495 100.49378  99.90495 100.11993 100.07497 100.42410 #>  [98547] 100.03999  99.57409 100.04999  99.88493 100.53855 100.18483 100.08996 #>  [98554] 100.03000  99.70456  99.81483  99.64939  99.88493 100.01000 100.30952 #>  [98561] 100.29457 100.27961  99.84989 100.07497 100.31451 100.49378 100.10994 #>  [98568] 100.11493  99.98000 100.19481  99.69453  99.28243  99.59920  99.68450 #>  [98575] 100.18483  99.70958  99.93498 100.41912  99.82485 100.43406  99.81984 #>  [98582]  99.64939  99.73966 100.18483 100.29955  99.94498 100.10994  99.98500 #>  [98589] 100.33942  99.67949  99.46356  99.66945  99.41831 100.00000  99.92998 #>  [98596] 100.15987  99.58414  99.98500  99.63433  99.81483  99.88493 100.07997 #>  [98603]  99.48367 100.35935  99.91997 100.35437  99.80982  99.83486 100.56341 #>  [98610] 100.12492 100.25966  99.66444 100.36434 100.07497 100.08996  99.80481 #>  [98617] 100.15488 100.06998  99.60422  99.93998 100.14989 100.06498 100.55347 #>  [98624] 100.30454 100.28958 100.16486  99.57911  99.84989 100.43406  99.84989 #>  [98631] 100.11493  99.99000 100.12992  99.92998 100.11993 100.30454 100.03499 #>  [98638]  99.88493 100.22974  99.81984  99.64437 100.14989  99.56907  99.56907 #>  [98645]  99.96499  99.98000  99.99500  99.92998  99.85990 100.09995  99.94498 #>  [98652] 100.12492 100.16486 100.37430  99.85990  99.63935  99.75470  99.74467 #>  [98659] 100.02000 100.30952  99.83987 100.03499  99.65440 100.07497 100.15488 #>  [98666] 100.00500 100.11493  99.80982 100.25966 100.38426  99.84989 100.25468 #>  [98673]  99.81483 100.01000 100.11993 100.11993 100.27462 100.17984 100.12992 #>  [98680] 100.11493  99.89995 100.09495  99.73966  99.87492  99.98000 100.14490 #>  [98687]  99.81483  99.82485  99.33277 100.04499  99.92497 100.07997 100.05498 #>  [98694]  99.74467 100.36932  99.60422  99.95499 100.01000  99.83987  99.84989 #>  [98701]  99.58414 100.67770 100.01000 100.11993 100.50373  99.93998  99.88493 #>  [98708]  99.62931  99.80982 100.19481 100.12992 100.52860 100.14490  99.95999 #>  [98715] 100.22974 100.14490  99.76973 100.01500 100.41912  99.85489  99.46356 #>  [98722] 100.31949  99.89995 100.26964 100.40916 100.24470  99.68450 100.74225 #>  [98729] 100.01500 100.33444  99.86491  99.92497  99.77475 100.45895  99.64437 #>  [98736] 100.13491 100.24969 100.21976  99.50879  99.61928  99.95999 100.34441 #>  [98743]  99.70456  99.94999 100.20479 100.12992  99.78477  99.69955  99.17661 #>  [98750] 100.13491 100.16986 100.30454 100.19980 100.26964  99.91997 100.39920 #>  [98757]  99.79479  99.64939  99.83987  99.65440  99.64437 100.48383 100.05998 #>  [98764] 100.12992  99.75470  99.62429 100.18982  99.56405 100.37928 100.21477 #>  [98771]  99.87993  99.78978 100.13491  99.91496  99.76472  99.47864  99.43842 #>  [98778] 100.05498  99.94498 100.32447 100.31451  99.96499 100.32946  99.87492 #>  [98785]  99.97000  99.82485 100.09495 100.03499  99.48367  99.88994  99.84488 #>  [98792] 100.00500  99.83486 100.41912 100.07997  99.85990  99.71459 100.40418 #>  [98799] 100.80675 100.20978 100.40916 100.38924 100.26465  99.92497 100.32946 #>  [98806] 100.51865 100.21477 100.08996  99.62931 100.06998  99.75971 100.65287 #>  [98813]  99.86992  99.93998 100.31949 100.11493  99.81984  99.71961 100.10494 #>  [98820]  99.71961  99.59920  99.86491  99.85990 100.14490  99.99000  99.90996 #>  [98827]  99.90495 100.14989  99.91997 100.08496  99.90495 100.23971  99.77976 #>  [98834]  99.97000 100.43904 100.10494  99.75971  99.91496  99.89995  99.94999 #>  [98841]  99.49874  99.89494 100.12992 100.01500  99.76472  99.94999 100.08996 #>  [98848]  99.94999  99.85990 100.09495  99.84488  99.71961 100.19980 100.74225 #>  [98855] 100.81171  99.86491  99.61426  99.77976 100.05998 100.73728  99.64939 #>  [98862] 100.03000  99.98500 100.08496  99.85489 100.14490  99.92998  99.92497 #>  [98869]  99.85489  99.85990  99.81984  99.92998  99.72963  99.82986 100.19481 #>  [98876]  99.83486  99.99000 100.12992 100.15987 100.16986  99.63935 100.06998 #>  [98883] 100.32946 100.31451 100.22475 100.69260 100.34441 100.88112  99.61426 #>  [98890]  99.90996 100.04499 100.26964 100.23472  99.70456 100.12992  99.82986 #>  [98897] 100.06998 100.12492  99.83486  99.52387 100.56838  99.93998 100.25468 #>  [98904] 100.02500 100.05998 100.28460 100.03999 100.30454  99.55903 100.02500 #>  [98911] 100.27961 100.34939 100.21477  99.67447  99.24717  99.93498 100.52363 #>  [98918]  99.61426 100.26465  99.38813 100.08496 100.15987 100.06998 100.15488 #>  [98925]  99.46356 100.10494  99.93998  99.83987  99.94498  99.89995 100.15987 #>  [98932] 100.46890 100.27462 100.14490 100.22475  99.83486 100.10494 100.07997 #>  [98939] 100.12992 100.41912 100.30952 100.43904 100.09995  99.76472 100.02000 #>  [98946] 100.27961 100.33942 100.11493 100.06498  99.81984 100.27961 100.23971 #>  [98953]  99.70456 100.27961  99.74969 100.22974  99.88994 100.20978  99.79479 #>  [98960]  99.53391  99.30760  99.60422  99.76472 100.35437 100.30454  99.52889 #>  [98967] 100.28958 100.02000 100.22974  99.93998  99.81483  99.81483 100.27462 #>  [98974]  99.96499 100.23971  99.98500 100.11993  99.81483  99.80982  99.70456 #>  [98981]  99.83486 100.25966  99.78978  99.78477  99.87492  99.45853  99.87492 #>  [98988]  99.93498  99.88493 100.48383 100.18982 100.22974  99.78978 100.30952 #>  [98995] 100.53855 100.12492  99.35794 100.10494 100.18982  99.83987 100.30454 #>  [99002] 100.13990  99.83486  99.81483  99.70958  99.85990 100.30454  99.82485 #>  [99009]  99.34787  99.99000  99.87492  99.95499  99.91997 100.04999  99.79479 #>  [99016] 100.05998 100.07997  99.84989 100.88607 100.25468  99.87492  99.90996 #>  [99023] 100.05998 100.05998 100.59821 100.15488  99.57911 100.08496  99.97000 #>  [99030]  99.72462 100.60318  99.89995  99.42334  99.97000  99.90495  99.88994 #>  [99037] 100.23472 100.06998  99.88994 100.11993 100.23971 100.41414  99.89494 #>  [99044]  99.99000  99.68952 100.49378  99.84488  99.84989 100.02000 100.45895 #>  [99051] 100.47388 100.05498 100.10994  99.87492 100.08496  99.64939  99.85990 #>  [99058]  99.76472 100.18483  99.90996  99.94498 100.38924  99.53391 100.12992 #>  [99065]  99.91496 100.37430  99.94999  99.99000 100.28958  99.77976  99.70456 #>  [99072] 100.28460 100.15488  99.98000  99.52889  99.48367  99.60924 100.22475 #>  [99079] 100.23971  99.84989 100.03499  99.42334  99.88493  99.95999  99.78978 #>  [99086] 100.14989  99.80481 100.40916  99.99500  99.97000 100.38924  99.89494 #>  [99093]  99.90495  99.89494  99.94999  99.57911 100.05498  99.57409 100.41912 #>  [99100]  99.82986  99.60924 100.22475  99.85990 100.14490  99.91496 100.01500 #>  [99107]  99.93998 100.16486  99.90996  99.52387 100.21477 100.12992  99.62931 #>  [99114]  99.73966  99.63433  99.85489 100.41414  99.64437 100.05498  99.74467 #>  [99121]  99.91496 100.05998 100.24969  99.76472 100.28460  99.72462  99.67949 #>  [99128] 100.06498  99.72462 100.24969 100.07997 100.34939  99.53391 100.03000 #>  [99135]  99.62931  99.78978  99.97500  99.95999 100.26465 100.04499 100.49378 #>  [99142] 100.31451 100.16986  99.80481  99.71961 100.23472 100.18982 100.16486 #>  [99149]  99.79479  99.56907 100.31451  99.89995  99.82485 100.68267  99.82986 #>  [99156] 100.57336  99.81984 100.19481 100.45397 100.42908 100.54850 100.13990 #>  [99163]  99.68952 100.32447 100.35935  99.97500 100.15987 100.35437  99.94999 #>  [99170] 100.62306 100.11993 100.04499 100.17984  99.77475 100.31451 100.24969 #>  [99177] 100.03000 100.22974  99.59418 100.28460  99.99500  99.88994 100.03000 #>  [99184] 100.29955 100.02000 100.12492  99.72963 100.30952  99.35794 100.17984 #>  [99191] 100.23971 100.20978 100.16986  99.88994 100.29955  99.92998 100.17984 #>  [99198] 100.33942 100.02500  99.96499  99.82485 100.41912  99.95499  99.88493 #>  [99205] 100.12492 100.38924 100.34441 100.27961  99.84488 100.13491 100.56838 #>  [99212]  99.44848 100.16986 100.05998  99.80481 100.02500  99.84488 100.48881 #>  [99219]  99.67447  99.84488 100.18982  99.87993 100.25966  99.85489  99.70456 #>  [99226]  99.66945  99.97000 100.15987 100.24969 100.03499 100.33444  99.58916 #>  [99233] 100.60318  99.73465  99.93498  99.98000  99.63935 100.05498 100.05498 #>  [99240] 100.09495  99.71961 100.12992 100.43904 100.09495 100.28460 100.23472 #>  [99247] 100.07497  99.82986 100.17485  99.36297 100.12992 100.05998  99.82485 #>  [99254] 100.41912 100.02500 100.41912 100.33942  99.43842  99.80982 100.23472 #>  [99261] 100.03999  99.63935 100.70253  99.92497  99.58414  99.85990  99.70456 #>  [99268]  99.79980  99.96499  99.58916 100.46392 100.09995  99.79479 100.29457 #>  [99275] 100.04999 100.18982  99.65440  99.73465  99.81483  99.85990  99.78477 #>  [99282] 100.55844  99.52387 100.13990  99.68952  99.64939 100.16486  99.63433 #>  [99289] 100.38426 100.01000 100.10994  99.69955 100.27961  99.97000 100.09495 #>  [99296]  99.76973 100.06998  99.93998 100.12992 100.47885 100.41912 100.05998 #>  [99303]  99.38813 100.06498 100.55347 100.46392  99.93998  99.79980 100.17485 #>  [99310]  99.63433  99.84989 100.22475  99.87993 100.70750 100.05998  99.74467 #>  [99317]  99.92497 100.09995  99.51884  99.93998 100.30952 100.18982 100.16986 #>  [99324] 100.28958 100.56341 100.07997 100.58330  99.75971 100.36932 100.20479 #>  [99331] 100.17485 100.29457  99.51884  99.52387  99.86992  99.87993  99.73966 #>  [99338] 100.10494 100.60318  99.60924 100.00500  99.61928 100.03499 100.55844 #>  [99345]  99.46859  99.94498  99.61426 100.32447  99.86992 100.12492  99.93498 #>  [99352] 100.03000 100.36434  99.81483 100.15987 100.31451  99.44345 100.05498 #>  [99359] 100.22974 100.52860 100.32447 100.60815  99.90495 100.00000  99.82986 #>  [99366]  99.65440  99.90495  99.89995  99.73465 100.26465 100.42410 100.30454 #>  [99373]  99.65942 100.15987 100.26465  99.91997  99.93998 100.50373  99.94498 #>  [99380]  99.82485  99.61426 100.21976  99.73966  99.28243  99.98000  99.68450 #>  [99387] 100.03499  99.62931 100.19980  99.72963  99.69453  99.77976  99.83987 #>  [99394] 100.31949 100.39920 100.25966  99.96499  99.67447  99.64939 100.06498 #>  [99401] 100.15987  99.75971 100.53855  99.81483 100.02500  99.78978 100.28958 #>  [99408] 100.30952 100.00000  99.78477  99.99500  99.98000  99.82485 100.37430 #>  [99415]  99.66444 100.27462 100.11993 100.01000 100.40916  99.82485 100.13491 #>  [99422] 100.49378 100.21477 100.08496 100.09995 100.16486  99.70456 100.33444 #>  [99429] 100.46392  99.95499 100.02500 100.29955 100.27961 100.01000  99.97500 #>  [99436]  99.35291 100.12492 100.10494  99.23205  99.94498  99.94999  99.70456 #>  [99443]  99.64939 100.06998  99.75470 100.52860 100.22475  99.99000  99.79479 #>  [99450]  99.68952 100.00500 100.26465  99.60924  99.56405  99.89995  99.60422 #>  [99457]  99.48367 100.43904  99.82485  99.83486  99.72462 100.40916  99.95499 #>  [99464] 100.45397 100.08996 100.44899  99.92998  99.79980 100.23472  99.78978 #>  [99471]  99.74969  99.95999 100.07997  99.66444 100.22974 100.39422  99.87492 #>  [99478] 100.04999  99.93998  99.89494 100.36434 100.27462  99.76973  99.81483 #>  [99485] 100.34441  99.66444  99.69453 100.14989 100.01000 100.05998 100.44899 #>  [99492]  99.84989 100.33942 100.23472  99.69453  99.66444 100.40418  99.84989 #>  [99499] 100.21976 100.06998 100.09995  99.88493  99.89995 100.15987  99.92998 #>  [99506] 100.55844 100.05998 100.13491 100.29457 100.23472 100.03999 100.14490 #>  [99513]  99.78477 100.11993 100.54850 100.30952  99.62429 100.08496 100.38924 #>  [99520] 100.40916 100.22475 100.30454  99.56405  99.90495 100.08496  99.85489 #>  [99527] 100.35437  99.76472 100.41912  99.72963 100.04999 100.10994 100.02000 #>  [99534]  99.86992  99.70958  99.82485  99.79980 100.12992  99.53894  99.86491 #>  [99541]  99.58916 100.21477 100.17485  99.80481  99.67447  99.70456  99.57409 #>  [99548] 100.46890  99.57911 100.04499 100.08996  99.87993  99.95499  99.52387 #>  [99555]  99.83486  99.70456 100.09495 100.05498 100.54352  99.86992  99.98000 #>  [99562]  99.84989  99.52889 100.14989 100.19980 100.32447 100.04999 100.08996 #>  [99569] 100.02000  99.95499  99.47864  99.62429  99.78477 100.43904  99.58414 #>  [99576] 100.25966  99.68450  99.60422 100.27961 100.33444 100.34441 100.49378 #>  [99583]  99.79980  99.62931 100.49378  99.63935  99.46356 100.14490  99.41831 #>  [99590] 100.46392  99.93498  99.78978 100.20978  99.80982 100.05498 100.12992 #>  [99597] 100.16486 100.12992  99.93498  99.89995  99.75470  99.87492  99.89494 #>  [99604]  99.87492  99.55903  99.53894  99.97500 100.10994 100.17984  99.75470 #>  [99611]  99.93498 100.41912 100.27462  99.56907  99.92497  99.93498 100.13990 #>  [99618] 100.39920  99.76472 100.02500 100.28460  99.69453 100.00000 100.21976 #>  [99625]  99.94498 100.02000 100.33942 100.05998  99.68450 100.29955 100.00000 #>  [99632] 100.25966 100.28958 100.30952 100.03000  99.99000 100.83154 100.03999 #>  [99639]  99.49372 100.13990  99.58414 100.23971 100.35437  99.60924  99.77475 #>  [99646] 100.13990  99.66945  99.87993  99.99500 100.23472 100.29955  99.54396 #>  [99653]  99.83486  99.61426 100.38426  99.74467  99.59920 100.16986 100.47885 #>  [99660] 100.29955 100.12992 100.57833  99.89494  99.93998  99.88994 100.17485 #>  [99667]  99.41831 100.10994  99.81483  99.76472 100.17984 100.55844  99.78978 #>  [99674]  99.90495 100.47388 100.09495 100.20479 100.20479  99.70958  99.74969 #>  [99681] 100.09495  99.99000 100.52363  99.48869 100.00500 100.09495  99.69453 #>  [99688] 100.25966 100.22475  99.96499  99.80982  99.67949  99.76973  99.72963 #>  [99695] 100.39422  99.86491  99.47361 100.39422 100.58330  99.93998 100.06498 #>  [99702] 100.28460  99.36800 100.08996 100.08496  99.42837  99.63433  99.95999 #>  [99709] 100.33942  99.79479 100.15488  99.88493 100.18982 100.15987  99.89494 #>  [99716]  99.91496  99.79479 100.11493  99.79479 100.29457 100.27961 100.55347 #>  [99723] 100.19980 100.63300 100.06998 100.36434  99.54396  99.71459  99.79980 #>  [99730] 100.12492 100.01000  99.98000 100.11993 100.65287 100.25966 100.04999 #>  [99737]  99.89494  99.54396 100.02500 100.28460 100.62306 100.18982  99.54396 #>  [99744] 100.04999  99.83486 100.04499  99.88493 100.22974  99.94999  99.73465 #>  [99751] 100.19481  99.81483  99.68450  99.78978 100.09995 100.08496  99.85489 #>  [99758]  99.87993 100.08996  99.63433 100.39920  99.94498  99.86992 100.17485 #>  [99765] 100.29955  99.29250  99.88493 100.14490  99.96499 100.21477  99.64939 #>  [99772]  99.56907 100.03999  99.63935 100.29457  99.97000  99.97000 100.22974 #>  [99779] 100.12992 100.03999 100.31451  99.93998  99.84989 100.12992 100.10994 #>  [99786] 100.15987  99.68450 100.46890 100.01500 100.29457 100.56341  99.89494 #>  [99793] 100.13491 100.01000 100.14490  99.99500 100.20978  99.95499 100.02500 #>  [99800] 100.36434  99.39819 100.24470 100.00000  99.96499  99.57911  99.75971 #>  [99807] 100.04999  99.55401  99.89494 100.12492  99.19677  99.66444 100.00000 #>  [99814]  99.60924 100.20978  99.76973  99.64939  99.79980  99.88994 100.52860 #>  [99821]  99.77976 100.21477  99.61928  99.83486 100.04499  99.97000 100.04999 #>  [99828] 100.17984 100.20978 100.03000 100.03999  99.95499 100.18483 100.03000 #>  [99835]  99.50377 100.34939  99.73966 100.08996 100.09495  99.78978  99.70456 #>  [99842] 100.40418 100.00500 100.12992 100.22974  99.65440 100.21976  99.93998 #>  [99849] 100.05498 100.16986 100.03000  99.70958  99.56405  99.87492 100.29955 #>  [99856] 100.33942 100.74721 100.25966  99.58414 100.21477  99.87993 100.39422 #>  [99863] 100.24969  99.77976  99.80481 100.20479 100.75217  99.53391  99.92497 #>  [99870] 100.32447  99.77475  99.97500 100.11993 100.63300  99.54898 100.17485 #>  [99877] 100.32946  99.96499 100.33444  99.97000  99.53894  99.90495  99.98500 #>  [99884] 100.09995 100.59821 100.32447 100.19980 100.49876 100.31949  99.73966 #>  [99891] 100.10994  99.62931  99.87993  99.89995  99.61426 100.03000 100.31451 #>  [99898]  99.70456  99.82485 100.03999  99.72462 100.12492  99.91997 100.36932 #>  [99905]  99.92998 100.25966  99.41831  99.68450  99.96499 100.30454 100.37928 #>  [99912]  99.83987  99.80982 100.21976 100.20479 100.38924  99.77475  99.80982 #>  [99919] 100.07497  99.87492 100.04999 100.40418  99.60422  99.73966  99.88493 #>  [99926] 100.08996 100.69757 100.39422  99.86491  99.73966 100.27462  99.94999 #>  [99933]  99.62931  99.98500 100.07497 100.09995 100.58330  99.89995 100.44899 #>  [99940]  99.90996  99.57911 100.08496  99.39819  99.94999  99.70958 100.16986 #>  [99947]  99.67949  99.82485 100.41414 100.08496  99.34787  99.94999  99.94999 #>  [99954]  99.66444 100.18483  99.93998 100.57833  99.77475  99.82986  99.84488 #>  [99961] 100.03000  99.84488  99.43842 100.01500  99.73465  99.64437 100.37928 #>  [99968] 100.19980 100.10994 100.02500 100.16986 100.38426  99.99500  99.86992 #>  [99975] 100.12492  99.56405 100.07497  99.56405  99.81984 100.23472  99.96499 #>  [99982] 100.01000  99.98000 100.06498  99.78477  99.61426  99.57409 100.00000 #>  [99989] 100.29457  99.87993  99.95999  99.20181  99.51382  99.78477  99.48869 #>  [99996] 100.15987 100.50373 100.16486 100.49378 100.36932   ### Using box ## p = 2 range <- matrix(c(1,100, 50,100), ncol = 2, byrow = TRUE ) pts <- genSample(2, 1000, range = range, box = TRUE, argsBox = list(cor = \"idxAlt\")) head(pts) #>      z1 z2 #> [1,] 77 54 #> [2,] 92 64 #> [3,] 74 55 #> [4,] 97 67 #> [5,] 68 67 #> [6,]  8 98 Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] #> min    1   50 #> max  100  100 plot(pts)   pts <- genSample(2, 1000, range = range, box = TRUE, argsBox = list(cor = \"idxAlt\",                  intervals = 6)) plot(pts)   pts <- genSample(2, 1000, range = range, box = TRUE, argsBox = list(cor = \"idxRand\")) plot(pts) pts <- genSample(2, 1000, range = range, box = TRUE,                  argsBox = list(cor = \"idxRand\", prHigh = c(0.1,0.6))) points(pts, pch = 3, col = \"red\") pts <- genSample(2, 1000, range = range, box = TRUE,                  argsBox = list(cor = \"idxRand\", prHigh = c(0,0))) points(pts, pch = 4, col = \"blue\")   pts <- genSample(2, 1000, range = range, box = TRUE, argsBox = list(cor = \"idxSplit\")) plot(pts)   # \\donttest{ ## p = 3 range <- matrix(c(1,100, 1,200, 1,50), ncol = 2, byrow = TRUE ) ini3D(argsPlot3d = list(box = TRUE, axes = TRUE)) pts <- genSample(3, 1000, range = range, box = TRUE, , argsBox = list(cor = \"idxAlt\")) head(pts) #>      z1  z2 z3 #> [1,] 86   6 41 #> [2,] 92   7 42 #> [3,] 83  59 35 #> [4,] 18 167  8 #> [5,] 19 140 15 #> [6,] 11 147  2 Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] [,3] #> min    1    1    1 #> max  100  200   50 plotPoints3D(pts) finalize3D() 3D plot  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\\nAADAfwAAIEIAAMB/AADAfwAASEIAAAAB\"}]},\"context\":{\"shiny\":false,\"rmarkdown\":null},\"vertexShader\":\"#line 2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D(argsPlot3d = list(box = TRUE, axes = TRUE)) pts <- genSample(3, 1000, range = range, box = TRUE, ,                  argsBox = list(cor = \"idxAlt\", intervals = 6)) plotPoints3D(pts) finalize3D() 3D plot  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\\nAADAfwAAIEIAAMB/AADAfwAASEIAAAAB\"}]},\"context\":{\"shiny\":false,\"rmarkdown\":null},\"vertexShader\":\"#line 2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D(argsPlot3d = list(box = TRUE, axes = TRUE)) pts <- genSample(3, 1000, range = range, box = TRUE, , argsBox = list(cor = \"idxRand\")) plotPoints3D(pts) pts <- genSample(3, 1000, range = range, box = TRUE, ,                  argsBox = list(cor = \"idxRand\", prHigh = c(0.1,0.6,0.1))) plotPoints3D(pts, argsPlot3d = list(col=\"red\")) finalize3D() 3D plot  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e4EQqyC0UWDEOQMguiLBWaBB8wKhayKgUcAVKJCgvIKmSUAiGM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\\nwH8AAPBBAADAfwAAwH8AACBCAADAfwAAwH8AAEhCAAAAAQ==\"}]},\"context\":{\"shiny\":false,\"rmarkdown\":null},\"vertexShader\":\"#line 2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D(argsPlot3d = list(box = TRUE, axes = TRUE)) pts <- genSample(3, 1000, range = range, box = TRUE, , argsBox = list(cor = \"idxSplit\")) plotPoints3D(pts) finalize3D() 3D plot  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\\nAADAfwAAIEIAAMB/AADAfwAASEIAAAAB\"}]},\"context\":{\"shiny\":false,\"rmarkdown\":null},\"vertexShader\":\"#line 2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# }  ## other p p <- 10 range <- c(1,100) pts <- genSample(p, 1000, range = range, box = TRUE, argsBox = list(cor = \"idxSplit\")) head(pts) #>      z1 z2 z3 z4 z5 z6 z7 z8 z9 z10 #> [1,] 22 13 83 91  6 67 84 75 18  31 #> [2,] 96 98 76 89  9 29 32 90 33  18 #> [3,] 99 22 22 68 73 16 93 72 21  29 #> [4,] 75  4 95 94  4  4 15 78 24  81 #> [5,] 78 87 94 16 77  3 68 18 32  21 #> [6,] 22 96 19 78  7 78  6  6 80  74 Rfast::colMinsMaxs(as.matrix(pts)) #>     [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] #> min    1    1    1    1    1    1    1    1    1     1 #> max  100  100  100  100  100  100  100  100  100   100"},{"path":"http://relund.github.io/gMOIP/reference/getTexture.html","id":null,"dir":"Reference","previous_headings":"","what":"Save a point symbol as a temporary file. — getTexture","title":"Save a point symbol as a temporary file. — getTexture","text":"Save point symbol temporary file.","code":""},{"path":"http://relund.github.io/gMOIP/reference/getTexture.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Save a point symbol as a temporary file. — getTexture","text":"","code":"getTexture(pch = 16, cex = 10, ...)"},{"path":"http://relund.github.io/gMOIP/reference/getTexture.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Save a point symbol as a temporary file. — getTexture","text":"pch Point number/symbol. cex Point size ... arguments passed plot.","code":""},{"path":"http://relund.github.io/gMOIP/reference/getTexture.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Save a point symbol as a temporary file. — getTexture","text":"file name.","code":""},{"path":"http://relund.github.io/gMOIP/reference/getTexture.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Save a point symbol as a temporary file. — getTexture","text":"","code":"# \\donttest{ # Pch shapes generateRPointShapes<-function(){    oldPar<-par()    par(font=2, mar=c(0.5,0,0,0))    y=rev(c(rep(1,6),rep(2,5), rep(3,5), rep(4,5), rep(5,5)))    x=c(rep(1:5,5),6)    plot(x, y, pch = 0:25, cex=1.5, ylim=c(1,5.5), xlim=c(1,6.5),         axes=FALSE, xlab=\"\", ylab=\"\", bg=\"blue\")    text(x, y, labels=0:25, pos=3)    par(mar=oldPar$mar,font=oldPar$font ) } generateRPointShapes()   getTexture() #> [1] \"/tmp/RtmpUha347/file19433281ae97.png\" # }"},{"path":"http://relund.github.io/gMOIP/reference/hullSegment.html","id":null,"dir":"Reference","previous_headings":"","what":"Find segments (lines) of a face. — hullSegment","title":"Find segments (lines) of a face. — hullSegment","text":"Find segments (lines) face.","code":""},{"path":"http://relund.github.io/gMOIP/reference/hullSegment.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Find segments (lines) of a face. — hullSegment","text":"","code":"hullSegment(   vertices,   hull = geometry::convhulln(vertices),   tol = mean(mean(abs(vertices))) * sqrt(.Machine$double.eps) )"},{"path":"http://relund.github.io/gMOIP/reference/hullSegment.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Find segments (lines) of a face. — hullSegment","text":"vertices m x p array vertices convex hull, used geometry::convhulln(). hull Tessellation (triangulation) generated geometry::convhulln() hull left empty supplied, generated. tol Tolerance tests inclusion convex hull. can think tol distance point may possibly lie outside hull, still perceived surface hull. numerical slop nothing can ever done exactly . might guess semi-intelligent value tol tol = 1.e-13*mean(abs(vertices(:))) higher dimensions, numerical issues floating point arithmetic probably suggest larger value tol.","code":""},{"path":"http://relund.github.io/gMOIP/reference/hullSegment.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Find segments (lines) of a face. — hullSegment","text":"matrix segments.","code":""},{"path":"http://relund.github.io/gMOIP/reference/hullSegment.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Find segments (lines) of a face. — hullSegment","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/inHull.html","id":null,"dir":"Reference","previous_headings":"","what":"Efficient test for points inside a convex hull in p dimensions. — inHull","title":"Efficient test for points inside a convex hull in p dimensions. — inHull","text":"Efficient test points inside convex hull p dimensions.","code":""},{"path":"http://relund.github.io/gMOIP/reference/inHull.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Efficient test for points inside a convex hull in p dimensions. — inHull","text":"","code":"inHull(   pts,   vertices,   hull = NULL,   tol = mean(mean(abs(as.matrix(vertices)))) * sqrt(.Machine$double.eps) )"},{"path":"http://relund.github.io/gMOIP/reference/inHull.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Efficient test for points inside a convex hull in p dimensions. — inHull","text":"pts \\(nxp\\) array test, \\(n\\) data points, dimension \\(p\\). many points test, efficient call function entire set. vertices \\(mxp\\) array vertices convex hull. May contain redundant (non-vertex) points. hull Tessellation (triangulation) generated convhulln (works dimension hull \\(p\\)). hull NULL, generated. tol Tolerance tests inclusion convex hull. can think tol difference point value may different values hull, still perceived surface hull. numerical slop nothing can ever done exactly . higher dimensions, numerical issues floating point arithmetic probably suggest larger value tol. tol used dimension hull larger one equal \\(p\\).","code":""},{"path":"http://relund.github.io/gMOIP/reference/inHull.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Efficient test for points inside a convex hull in p dimensions. — inHull","text":"integer vector length \\(n\\) values 1 (inside hull), -1 (outside hull) 0 (hull precision indicated tol).","code":""},{"path":"http://relund.github.io/gMOIP/reference/inHull.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Efficient test for points inside a convex hull in p dimensions. — inHull","text":"code inspired Matlab code John D'Errico find point inside hull. dimension hull \\(p\\) PCA may used check (warning given).","code":""},{"path":"http://relund.github.io/gMOIP/reference/inHull.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Efficient test for points inside a convex hull in p dimensions. — inHull","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/inHull.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Efficient test for points inside a convex hull in p dimensions. — inHull","text":"3D plot 3D plot 3D plot","code":"## In 1D vertices <- matrix(4, ncol = 1) pt <- matrix(c(2,4), ncol = 1, byrow = TRUE) inHull(pt, vertices) #> [1] -1  0 vertices <- matrix(c(1,4), ncol = 1) pt <- matrix(c(1,3,4,5), ncol = 1, byrow = TRUE) inHull(pt, vertices) #> [1]  0  1  0 -1  ## In 2D vertices <- matrix(c(2,4), ncol = 2) pt <- matrix(c(2,4, 1,1), ncol = 2, byrow = TRUE) inHull(pt, vertices) #> [1]  0 -1 vertices <- matrix(c(0,0, 3,3), ncol = 2, byrow = TRUE) pt <- matrix(c(0,0, 1,1, 2,2, 3,3, 4,4), ncol = 2, byrow = TRUE) inHull(pt, vertices) #> [1]  0  0  0  0 -1 vertices <- matrix(c(0,0, 0,3, 3,0), ncol = 2, byrow = TRUE) pt <- matrix(c(0,0, 1,1, 4,4), ncol = 2, byrow = TRUE) inHull(pt, vertices) #> [1]  0  1 -1  # \\donttest{ ## in 3D vertices <- matrix(c(2,2,2), ncol = 3, byrow = TRUE) pt <- matrix(c(1,1,1, 3,3,3, 2,2,2, 3,3,2), ncol = 3, byrow = TRUE) inHull(pt, vertices) #> [1] -1 -1  0 -1  vertices <- matrix(c(2,2,2, 4,4,4), ncol = 3, byrow = TRUE) ini3D() plotHull3D(vertices) pt <- matrix(c(1,1,1, 2,2,2, 3,3,3, 4,4,4, 3,3,2), ncol = 3, byrow = TRUE) plotPoints3D(pt, addText = TRUE) finalize3D() 3D plot  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mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}inHull(pt, vertices) #> [1] -1  0  0  0 -1  vertices <- matrix(c(1,0,0, 1,1,0, 1,0,1), ncol = 3, byrow = TRUE) ini3D() plotHull3D(vertices) pt <- matrix(c(1,0.1,0.2, 3,3,2), ncol = 3, byrow = TRUE) plotPoints3D(pt, addText = TRUE) finalize3D() 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}inHull(pt, vertices) #> Warning: Using PCA to transform. Results for pts index 1 might not be accurate! #> [1]  0 -1  vertices <- matrix(c(2,2,2, 2,4,4, 2,2,4, 4,4,2, 4,2,2, 2,4,2, 4,2,4, 4,4,4), ncol = 3,             byrow = TRUE) ini3D() plotHull3D(vertices) pt <- matrix(c(1,1,1, 3,3,3, 2,2,2, 3,3,2), ncol = 3, byrow = TRUE) plotPoints3D(pt, addText = TRUE) finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}inHull(pt, vertices) #> [1] -1  1  0  0 # }  ## In 5D vertices <- matrix(c(4,0,0,0,0, 0,4,0,0,0, 0,0,4,0,0, 0,0,0,4,0, 0,0,0,0,4, 0,0,0,0,0),             ncol = 5, byrow = TRUE) pt <- matrix(c(0.1,0.1,0.1,0.1,0.1, 3,3,3,3,3, 2,0,0,0,0), ncol = 5, byrow = TRUE) inHull(pt, vertices) #> [1]  1 -1  0"},{"path":"http://relund.github.io/gMOIP/reference/ini3D.html","id":null,"dir":"Reference","previous_headings":"","what":"Initialize the RGL window. — ini3D","title":"Initialize the RGL window. — ini3D","text":"Initialize RGL window.","code":""},{"path":"http://relund.github.io/gMOIP/reference/ini3D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Initialize the RGL window. — ini3D","text":"","code":"ini3D(new = TRUE, clear = FALSE, ...)"},{"path":"http://relund.github.io/gMOIP/reference/ini3D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Initialize the RGL window. — ini3D","text":"new new window opened (otherwise current cleared). clear Clear current RGL window. ... arguments passed RGL plotting functions. must done lists. Currently following arguments supported: argsPlot3d: list arguments rgl::plot3d. argsAspect3d: list arguments rgl::aspect3d.","code":""},{"path":"http://relund.github.io/gMOIP/reference/ini3D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Initialize the RGL window. — ini3D","text":"NULL (invisible).","code":""},{"path":"http://relund.github.io/gMOIP/reference/ini3D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Initialize the RGL window. — ini3D","text":"3D plot 3D plot","code":"# \\donttest{ ini3D() pts<-matrix(c(1,1,1,5,5,5), ncol = 3, byrow = TRUE) plotPoints3D(pts) finalize3D() 3D plot  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mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} lim <- c(-1, 7) ini3D(argsPlot3d = list(xlim = lim, ylim = lim, zlim = lim)) plotPoints3D(pts) finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# }"},{"path":"http://relund.github.io/gMOIP/reference/integerPoints.html","id":null,"dir":"Reference","previous_headings":"","what":"Integer points in the feasible region (Ax<=b). — integerPoints","title":"Integer points in the feasible region (Ax<=b). — integerPoints","text":"Integer points feasible region (Ax<=b).","code":""},{"path":"http://relund.github.io/gMOIP/reference/integerPoints.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Integer points in the feasible region (Ax<=b). — integerPoints","text":"","code":"integerPoints(A, b, nonneg = rep(TRUE, ncol(A)))"},{"path":"http://relund.github.io/gMOIP/reference/integerPoints.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Integer points in the feasible region (Ax<=b). — integerPoints","text":"Constraint matrix. b Right hand side. nonneg boolean vector length number variables. entry k TRUE variable k must non-negative.","code":""},{"path":"http://relund.github.io/gMOIP/reference/integerPoints.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Integer points in the feasible region (Ax<=b). — integerPoints","text":"data frame integer points inside feasible region.","code":""},{"path":"http://relund.github.io/gMOIP/reference/integerPoints.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Integer points in the feasible region (Ax<=b). — integerPoints","text":"simple enumeration integer points min max values found using continuous polytope.","code":""},{"path":"http://relund.github.io/gMOIP/reference/integerPoints.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Integer points in the feasible region (Ax<=b). — integerPoints","text":"Lars Relund lars@relund.dk.","code":""},{"path":"http://relund.github.io/gMOIP/reference/integerPoints.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Integer points in the feasible region (Ax<=b). — integerPoints","text":"","code":"A <- matrix( c(3,-2, 1, 2, 4,-2,-3, 2, 1), nc = 3, byrow = TRUE) b <- c(10, 12, 3) integerPoints(A, b) #>       x1 x2 x3 #>  [1,]  0  0  0 #>  [2,]  1  0  0 #>  [3,]  2  0  0 #>  [4,]  3  0  0 #>  [5,]  0  1  0 #>  [6,]  1  1  0 #>  [7,]  2  1  0 #>  [8,]  3  1  0 #>  [9,]  4  1  0 #> [10,]  1  2  0 #> [11,]  2  2  0 #> [12,]  0  0  1 #> [13,]  1  0  1 #> [14,]  2  0  1 #> [15,]  3  0  1 #> [16,]  0  1  1 #> [17,]  1  1  1 #> [18,]  2  1  1 #> [19,]  3  1  1 #> [20,]  1  2  1 #> [21,]  2  2  1 #> [22,]  3  2  1 #> [23,]  0  0  2 #> [24,]  1  0  2 #> [25,]  2  0  2 #> [26,]  1  1  2 #> [27,]  2  1  2 #> [28,]  3  1  2 #> [29,]  1  2  2 #> [30,]  2  2  2 #> [31,]  3  2  2 #> [32,]  4  2  2 #> [33,]  2  3  2 #> [34,]  0  0  3 #> [35,]  1  0  3 #> [36,]  2  0  3 #> [37,]  1  1  3 #> [38,]  2  1  3 #> [39,]  3  1  3 #> [40,]  2  2  3 #> [41,]  3  2  3 #> [42,]  2  3  3 #> [43,]  3  3  3 #> [44,]  1  0  4 #> [45,]  2  0  4 #> [46,]  1  1  4 #> [47,]  2  1  4 #> [48,]  2  2  4 #> [49,]  3  2  4 #> [50,]  3  3  4 #> [51,]  4  3  4 #> [52,]  1  0  5 #> [53,]  2  1  5 #> [54,]  2  2  5 #> [55,]  3  2  5 #> [56,]  3  3  5 #> [57,]  1  0  6 #> [58,]  2  1  6 #> [59,]  3  3  6 #> [60,]  4  4  6  A <- matrix(c(9, 10, 2, 4, -3, 2), ncol = 2, byrow = TRUE) b <- c(90, 27, 3) integerPoints(A, b) #>       x1 x2 #>  [1,]  0  0 #>  [2,]  1  0 #>  [3,]  2  0 #>  [4,]  3  0 #>  [5,]  4  0 #>  [6,]  5  0 #>  [7,]  6  0 #>  [8,]  7  0 #>  [9,]  8  0 #> [10,]  9  0 #> [11,] 10  0 #> [12,]  0  1 #> [13,]  1  1 #> [14,]  2  1 #> [15,]  3  1 #> [16,]  4  1 #> [17,]  5  1 #> [18,]  6  1 #> [19,]  7  1 #> [20,]  8  1 #> [21,]  1  2 #> [22,]  2  2 #> [23,]  3  2 #> [24,]  4  2 #> [25,]  5  2 #> [26,]  6  2 #> [27,]  7  2 #> [28,]  1  3 #> [29,]  2  3 #> [30,]  3  3 #> [31,]  4  3 #> [32,]  5  3 #> [33,]  6  3 #> [34,]  2  4 #> [35,]  3  4 #> [36,]  4  4 #> [37,]  5  4 #> [38,]  3  5"},{"path":"http://relund.github.io/gMOIP/reference/loadView.html","id":null,"dir":"Reference","previous_headings":"","what":"Help function to load the view angle for the RGL 3D plot from a file or matrix — loadView","title":"Help function to load the view angle for the RGL 3D plot from a file or matrix — loadView","text":"Help function load view angle RGL 3D plot file matrix","code":""},{"path":"http://relund.github.io/gMOIP/reference/loadView.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Help function to load the view angle for the RGL 3D plot from a file or matrix — loadView","text":"","code":"loadView(   fname = \"view.RData\",   v = NULL,   clear = TRUE,   close = FALSE,   zoom = 1,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/loadView.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Help function to load the view angle for the RGL 3D plot from a file or matrix — loadView","text":"fname file name view. v view matrix. clear Call rgl::clear3d(). close Call rgl::close3d(). zoom Zoom level. ... Additional parameters passed rgl::view3d().","code":""},{"path":"http://relund.github.io/gMOIP/reference/loadView.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Help function to load the view angle for the RGL 3D plot from a file or matrix — loadView","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/loadView.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Help function to load the view angle for the RGL 3D plot from a file or matrix — loadView","text":"3D plot 3D plot","code":"# \\donttest{ view <- matrix( c(-0.412063330411911, -0.228006735444069, 0.882166087627411, 0, 0.910147845745087, -0.0574885793030262, 0.410274744033813, 0, -0.042830865830183, 0.97196090221405, 0.231208890676498, 0, 0, 0, 0, 1), nc = 4)  loadView(v = view) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}A <- matrix( c(3, 2, 5, 2, 1, 1, 1, 1, 3, 5, 2, 4), nc = 3, byrow = TRUE) b <- c(55, 26, 30, 57) obj <- c(20, 10, 15) plotPolytope(A, b, plotOptimum = TRUE, obj = obj, labels = \"coord\") 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} # Try to modify the angle in the RGL window saveView(print = TRUE)  # get the view angle to insert into R code #> view <- matrix( c(-0.412063330411911, -0.228006735444069, 0.882166087627411, 0, 0.910147845745087, -0.0574885793030262, 0.410274744033813, 0, -0.042830865830183, 0.97196090221405, 0.231208890676498, 0, 0, 0, 0, 1), nc = 4) # }"},{"path":"http://relund.github.io/gMOIP/reference/mergeLists.html","id":null,"dir":"Reference","previous_headings":"","what":"Merge two lists to one — mergeLists","title":"Merge two lists to one — mergeLists","text":"Merge two lists one","code":""},{"path":"http://relund.github.io/gMOIP/reference/mergeLists.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Merge two lists to one — mergeLists","text":"","code":"mergeLists(a, b)"},{"path":"http://relund.github.io/gMOIP/reference/mergeLists.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Merge two lists to one — mergeLists","text":"First list. b Second list.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotCones2D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot a cone defined by a point in 2D. — plotCones2D","title":"Plot a cone defined by a point in 2D. — plotCones2D","text":"cones defined point plus/minus rays R2.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotCones2D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot a cone defined by a point in 2D. — plotCones2D","text":"","code":"plotCones2D(   pts,   drawPoint = TRUE,   drawLines = TRUE,   drawPolygons = TRUE,   direction = 1,   rectangle = FALSE,   drawPlot = TRUE,   m = apply(pts, 2, min) - 5,   M = apply(pts, 2, max) + 5,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/plotCones2D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot a cone defined by a point in 2D. — plotCones2D","text":"pts matrix point row. drawPoint Draw points defining cone. drawLines Draw lines cone. drawPolygons Draw polygons cone. direction Ray direction. 'th entry positive, consider 'th column pts plus value greater equal zero (minimize objective $$). negative, consider 'th column pts minus value greater equal zero (maximize objective $$). rectangle Draw cone rectangle. drawPlot Draw ggplot. Set FALSE want combine hulls single plot. m Minimum values bounding box. M Maximum values bounding box. ... arguments passed plotHull2D","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotCones2D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot a cone defined by a point in 2D. — plotCones2D","text":"ggplot object","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotCones2D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Plot a cone defined by a point in 2D. — plotCones2D","text":"","code":"library(ggplot2) plotCones2D(c(4,4), drawLines = FALSE, drawPoint = TRUE,            argsGeom_point = list(col = \"red\", size = 10),            argsGeom_polygon = list(alpha = 0.5), rectangle = TRUE)  plotCones2D(c(1,1), rectangle = FALSE)  plotCones2D(matrix(c(3,3,2,2), ncol = 2, byrow = TRUE))   ## The Danish flag lst <- list(argsGeom_polygon = list(alpha = 0.85, fill = \"red\"),             drawPlot = FALSE, drawPoint = FALSE, drawLines = FALSE) p1 <- do.call(plotCones2D, args = c(list(c(2,4), direction = 1), lst)) p2 <- do.call(plotCones2D, args = c(list(c(1,2), direction = -1), lst)) p3 <- do.call(plotCones2D, args = c(list(c(2,2), direction = c(1,-1)), lst)) p4 <- do.call(plotCones2D, args = c(list(c(1,4), direction = c(-1,1)), lst)) ggplot() + p1 + p2 + p3 + p4 + theme_void()"},{"path":"http://relund.github.io/gMOIP/reference/plotCones3D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot a cone defined by a point in 3D. — plotCones3D","title":"Plot a cone defined by a point in 3D. — plotCones3D","text":"cones defined point plus R3+.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotCones3D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot a cone defined by a point in 3D. — plotCones3D","text":"","code":"plotCones3D(   pts,   drawPoint = TRUE,   drawLines = TRUE,   drawPolygons = TRUE,   direction = 1,   rectangle = FALSE,   useRGLBBox = TRUE,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/plotCones3D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot a cone defined by a point in 3D. — plotCones3D","text":"pts matrix point row. drawPoint Draw points defining cone. drawLines Draw lines cone. drawPolygons Draw polygons cone. direction Ray direction. 'th entry positive, consider 'th column pts plus value greater equal zero (minimize objective $$). negative, consider 'th column pts minus value greater equal zero (maximize objective $$). rectangle Draw cone rectangle. useRGLBBox Use RGL bounding box ray limits cone. ... arguments passed RGL plotting functions. must done lists (see examples). Currently following arguments supported: argsPlot3d: list arguments rgl::plot3d. argsSegments3d: list arguments rgl::segments3d. argsPolygon3d: list arguments rgl::polygon3d.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotCones3D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot a cone defined by a point in 3D. — plotCones3D","text":"Object ids (invisible).","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotCones3D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Plot a cone defined by a point in 3D. — plotCones3D","text":"3D plot 3D plot","code":"# \\donttest{ ini3D(argsPlot3d = list(xlim = c(0,6), ylim = c(0,6), zlim = c(0,6))) plotCones3D(c(4,4,4), drawLines = FALSE, drawPoint = TRUE,            argsPlot3d = list(col = \"red\", size = 10),            argsPolygon3d = list(alpha = 1), rectangle = TRUE) plotCones3D(c(1,1,1), rectangle = FALSE) plotCones3D(matrix(c(3,3,3,2,2,2), ncol = 3, byrow = TRUE)) finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D(argsPlot3d = list(xlim = c(0,6), ylim = c(0,6), zlim = c(0,6))) plotCones3D(c(4,4,4), direction = 1) plotCones3D(c(2,2,2), direction = -1) plotCones3D(c(4,2,2), direction = c(1,-1,-1)) ids <- plotCones3D(c(2,2,4), direction = c(-1,-1,1)) finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - 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'n' labels show points. equal coord add coordinates points. Otherwise number points one.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotCriterion2D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Create a plot of the criterion space of a bi-objective problem — plotCriterion2D","text":"ggplot object.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotCriterion2D.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Create a plot of the criterion space of a bi-objective problem — plotCriterion2D","text":"Currently points checked dominance. , MILP models nondominated points may fact dominated segment.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotCriterion2D.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Create a plot of the criterion space of a bi-objective problem — plotCriterion2D","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotCriterion2D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Create a plot of the criterion space of a bi-objective problem — plotCriterion2D","text":"3D plot 3D plot 3D plot 3D plot","code":"### Set up 2D plot # Function for plotting the solution and criterion space in one plot (two variables) plotBiObj2D <- function(A, b, obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = FALSE,    labels = \"numb\",    addTriangles = TRUE,    addHull = TRUE) {    p1 <- plotPolytope(A, b, type = type, crit = crit, faces = faces, plotFaces = plotFaces,                       plotFeasible = plotFeasible, plotOptimum = plotOptimum, labels = labels)    p2 <- plotCriterion2D(A, b, obj, type = type, crit = crit, addTriangles = addTriangles,                          addHull = addHull, plotFeasible = plotFeasible, labels = labels)    gridExtra::grid.arrange(p1, p2, nrow = 1) }   ### Bi-objective problem with two variables A <- matrix(c(-3,2,2,4,9,10), ncol = 2, byrow = TRUE) b <- c(3,27,90)  ## LP model obj <- matrix(    c(7, -10, # first criterion      -10, -10), # second criterion    nrow = 2) plotBiObj2D(A, b, obj, addTriangles = FALSE)   # \\donttest{ ## ILP models with different criteria (maximize) obj <- matrix(c(7, -10, -10, -10), nrow = 2) plotBiObj2D(A, b, obj, type = rep(\"i\", ncol(A)))  obj <- matrix(c(3, -1, -2, 2), nrow = 2) plotBiObj2D(A, b, obj, type = rep(\"i\", ncol(A)))  obj <- matrix(c(-7, -1, -5, 5), nrow = 2) plotBiObj2D(A, b, obj, type = rep(\"i\", ncol(A)))  obj <- matrix(c(-1, -1, 2, 2), nrow = 2) plotBiObj2D(A, b, obj, type = rep(\"i\", ncol(A))) #> Warning: ggrepel: 70 unlabeled data points (too many overlaps). Consider increasing max.overlaps   ## ILP models with different criteria (minimize) obj <- matrix(c(7, -10, -10, -10), nrow = 2) plotBiObj2D(A, b, obj, type = rep(\"i\", ncol(A)), crit = \"min\")  obj <- matrix(c(3, -1, -2, 2), nrow = 2) plotBiObj2D(A, b, obj, type = rep(\"i\", ncol(A)), crit = \"min\")  obj <- matrix(c(-7, -1, -5, 5), nrow = 2) plotBiObj2D(A, b, obj, type = rep(\"i\", ncol(A)), crit = \"min\")  obj <- matrix(c(-1, -1, 2, 2), nrow = 2) plotBiObj2D(A, b, obj, type = rep(\"i\", ncol(A)), crit = \"min\") #> Warning: ggrepel: 70 unlabeled data points (too many overlaps). Consider increasing max.overlaps    # More examples ## MILP model (x1 integer) with different criteria (maximize) obj <- matrix(c(7, -10, -10, -10), nrow = 2) plotBiObj2D(A, b, obj, type = c(\"i\", \"c\"))  obj <- matrix(c(3, -1, -2, 2), nrow = 2) plotBiObj2D(A, b, obj, type = c(\"i\", \"c\"))  obj <- matrix(c(-7, -1, -5, 5), nrow = 2) plotBiObj2D(A, b, obj, type = c(\"i\", \"c\"))  obj <- matrix(c(-1, -1, 2, 2), nrow = 2) plotBiObj2D(A, b, obj, type = c(\"i\", \"c\"))   ## MILP model (x2 integer) with different criteria (minimize) obj <- matrix(c(7, -10, -10, -10), nrow = 2) plotBiObj2D(A, b, obj, type = c(\"c\", \"i\"), crit = \"min\")  obj <- matrix(c(3, -1, -2, 2), nrow = 2) plotBiObj2D(A, b, obj, type = c(\"c\", \"i\"), crit = \"min\")  obj <- matrix(c(-7, -1, -5, 5), nrow = 2) plotBiObj2D(A, b, obj, type = c(\"c\", \"i\"), crit = \"min\")  obj <- matrix(c(-1, -1, 2, 2), nrow = 2) plotBiObj2D(A, b, obj, type = c(\"c\", \"i\"), crit = \"min\")  # }  ### Set up 3D plot # \\donttest{ # Function for plotting the solution and criterion space in one plot (three variables) plotBiObj3D <- function(A, b, obj,                         type = rep(\"c\", ncol(A)),                         crit = \"max\",                         faces = rep(\"c\", ncol(A)),                         plotFaces = TRUE,                         plotFeasible = TRUE,                         plotOptimum = FALSE,                         labels = \"numb\",                         addTriangles = TRUE,                         addHull = TRUE) {    plotPolytope(A, b, type = type, crit = crit, faces = faces, plotFaces = plotFaces,                 plotFeasible = plotFeasible, plotOptimum = plotOptimum, labels = labels)    plotCriterion2D(A, b, obj, type = type, crit = crit, addTriangles = addTriangles,                    addHull = addHull, plotFeasible = plotFeasible, labels = labels) }  ### Bi-objective problem with three variables loadView <- function(fname = \"view.RData\", v = NULL) {    if (!is.null(v)) {       rgl::view3d(userMatrix = v)    } else {       if (file.exists(fname)) {          load(fname)          rgl::view3d(userMatrix = view)       } else {          warning(paste0(\"Can'TRUE load view in file \", fname, \"!\"))       }    } }  ## Ex view <- matrix( c(-0.452365815639496, -0.446501553058624, 0.77201122045517, 0, 0.886364221572876,                   -0.320795893669128, 0.333835482597351, 0, 0.0986008867621422, 0.835299551486969,                   0.540881276130676, 0, 0, 0, 0, 1), nc = 4) loadView(v = view) 3D plot  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gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}Ab <- matrix( c(    1, 1, 2, 5,    2, -1, 0, 3,    -1, 2, 1, 3,    0, -3, 5, 2 ), nc = 4, byrow = TRUE) A <- Ab[,1:3] b <- Ab[,4] obj <- matrix(c(1, -6, 3, -4, 1, 6), nrow = 2)  # LP model plotBiObj3D(A, b, obj, crit = \"min\", addTriangles = FALSE)   # ILP model plotBiObj3D(A, b, obj, type = c(\"i\",\"i\",\"i\"), crit = \"min\")   # MILP model plotBiObj3D(A, b, obj, type = c(\"c\",\"i\",\"i\"), crit = \"min\")  plotBiObj3D(A, b, obj, type = c(\"i\",\"c\",\"i\"), crit = \"min\")  plotBiObj3D(A, b, obj, type = c(\"i\",\"i\",\"c\"), crit = \"min\")  plotBiObj3D(A, b, obj, type = c(\"i\",\"c\",\"c\"), crit = \"min\")  plotBiObj3D(A, b, obj, type = c(\"c\",\"i\",\"c\"), crit = \"min\")  plotBiObj3D(A, b, obj, type = c(\"c\",\"c\",\"i\"), crit = \"min\")    ## Ex view <- matrix( c(0.976349174976349, -0.202332556247711, 0.0761845782399178, 0, 0.0903248339891434,                   0.701892614364624, 0.706531345844269, 0, -0.196427255868912, -0.682940244674683,                   0.703568696975708, 0, 0, 0, 0, 1), nc = 4) loadView(v = view) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}A <- matrix( c(    -1, 1, 0,    1, 4, 0,    2, 1, 0,    3, -4, 0,    0, 0, 4 ), nc = 3, byrow = TRUE) b <- c(5, 45, 27, 24, 10) obj <- matrix(c(1, -6, 3, -4, 1, 6), nrow = 2)  # LP model plotBiObj3D(A, b, obj, crit = \"min\", addTriangles = FALSE, labels = \"coord\")   # ILP model plotBiObj3D(A, b, obj, type = c(\"i\",\"i\",\"i\"))   # MILP model plotBiObj3D(A, b, obj, type = c(\"c\",\"i\",\"i\"))  plotBiObj3D(A, b, obj, type = c(\"i\",\"c\",\"i\"), plotFaces = FALSE)  plotBiObj3D(A, b, obj, type = c(\"i\",\"i\",\"c\"))  plotBiObj3D(A, b, obj, type = c(\"i\",\"c\",\"c\"), plotFaces = FALSE)  plotBiObj3D(A, b, obj, type = c(\"c\",\"i\",\"c\"), plotFaces = FALSE)  plotBiObj3D(A, b, obj, type = c(\"c\",\"c\",\"i\"))    ## Ex view <- matrix( c(-0.812462985515594, -0.029454167932272, 0.582268416881561, 0, 0.579295456409454,                   -0.153386667370796, 0.800555109977722, 0, 0.0657325685024261, 0.987727105617523,                   0.14168381690979, 0, 0, 0, 0, 1), nc = 4) loadView(v = view) 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":1276,\"objects\":{\"1283\":{\"id\":1283,\"type\":\"clipplanes\",\"offsets\":[[-0],[6],[-0],[6],[-0],[6]],\"normals\":\"0\",\"flags\":512},\"1284\":{\"id\":1284,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"1\",\"colors\":\"2\",\"centers\":\"3\",\"ignoreExtent\":false,\"flags\":32832},\"1962\":{\"id\":1962,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"4\",\"colors\":\"5\",\"centers\":\"6\",\"ignoreExtent\":false,\"flags\":32832},\"1964\":{\"id\":1964,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":0,\"floating\":true,\"edge\":[0,1,1]},\"vertices\":\"7\",\"colors\":\"8\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"9\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"1965\":{\"id\":1965,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"10\",\"colors\":\"11\",\"centers\":\"12\",\"ignoreExtent\":false,\"flags\":32832},\"1966\":{\"id\":1966,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"13\",\"colors\":\"15\",\"centers\":\"16\",\"normals\":\"14\",\"ignoreExtent\":false,\"flags\":32811},\"1967\":{\"id\":1967,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"17\",\"colors\":\"18\",\"centers\":\"19\",\"ignoreExtent\":false,\"flags\":32832},\"1968\":{\"id\":1968,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"20\",\"colors\":\"22\",\"centers\":\"23\",\"normals\":\"21\",\"ignoreExtent\":false,\"flags\":32811},\"1969\":{\"id\":1969,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"24\",\"colors\":\"25\",\"centers\":\"26\",\"ignoreExtent\":false,\"flags\":32832},\"1970\":{\"id\":1970,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"27\",\"colors\":\"29\",\"centers\":\"30\",\"normals\":\"28\",\"ignoreExtent\":false,\"flags\":32811},\"1971\":{\"id\":1971,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"31\",\"colors\":\"32\",\"centers\":\"33\",\"ignoreExtent\":false,\"flags\":32832},\"1972\":{\"id\":1972,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"34\",\"colors\":\"36\",\"centers\":\"37\",\"normals\":\"35\",\"ignoreExtent\":false,\"flags\":32811},\"1973\":{\"id\":1973,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"38\",\"colors\":\"39\",\"centers\":\"40\",\"ignoreExtent\":false,\"flags\":32832},\"1974\":{\"id\":1974,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"41\",\"colors\":\"43\",\"centers\":\"44\",\"normals\":\"42\",\"ignoreExtent\":false,\"flags\":32811},\"1975\":{\"id\":1975,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"45\",\"colors\":\"46\",\"centers\":\"47\",\"ignoreExtent\":false,\"flags\":32832},\"1976\":{\"id\":1976,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"48\",\"colors\":\"50\",\"centers\":\"51\",\"normals\":\"49\",\"ignoreExtent\":false,\"flags\":32811},\"1977\":{\"id\":1977,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"52\",\"colors\":\"53\",\"centers\":\"54\",\"ignoreExtent\":false,\"flags\":32832},\"1978\":{\"id\":1978,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"55\",\"colors\":\"57\",\"centers\":\"58\",\"normals\":\"56\",\"ignoreExtent\":false,\"flags\":32811},\"1979\":{\"id\":1979,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"59\",\"colors\":\"60\",\"centers\":\"61\",\"ignoreExtent\":false,\"flags\":32832},\"1980\":{\"id\":1980,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"62\",\"colors\":\"64\",\"centers\":\"65\",\"normals\":\"63\",\"ignoreExtent\":false,\"flags\":32811},\"1981\":{\"id\":1981,\"type\":\"triangles\",\"material\":{\"alpha\":0.4000000059604645,\"smooth\":false,\"isTransparent\":true},\"vertices\":\"66\",\"colors\":\"68\",\"centers\":\"69\",\"normals\":\"67\",\"ignoreExtent\":false,\"flags\":32809},\"1982\":{\"id\":1982,\"type\":\"triangles\",\"material\":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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}A <- matrix( c(    1, 1, 1,    3, 0, 1 ), nc = 3, byrow = TRUE) b <- c(10, 24) obj <- matrix(c(1, -6, 3, -4, 1, 6), nrow = 2)  # LP model plotBiObj3D(A, b, obj, crit = \"min\", addTriangles = FALSE, labels = \"coord\")   # ILP model plotBiObj3D(A, b, obj, type = c(\"i\",\"i\",\"i\"), crit = \"min\", labels = \"n\")   # MILP model plotBiObj3D(A, b, obj, type = c(\"c\",\"i\",\"i\"), crit = \"min\")  plotBiObj3D(A, b, obj, type = c(\"i\",\"c\",\"i\"), crit = \"min\")  plotBiObj3D(A, b, obj, type = c(\"i\",\"i\",\"c\"), crit = \"min\")  plotBiObj3D(A, b, obj, type = c(\"i\",\"c\",\"c\"), crit = \"min\")  plotBiObj3D(A, b, obj, type = c(\"c\",\"i\",\"c\"), crit = \"min\", plotFaces = FALSE)  plotBiObj3D(A, b, obj, type = c(\"c\",\"c\",\"i\"), crit = \"min\", plotFaces = FALSE)    ## Ex view <- matrix( c(-0.412063330411911, -0.228006735444069, 0.882166087627411, 0, 0.910147845745087,                   -0.0574885793030262, 0.410274744033813, 0, -0.042830865830183, 0.97196090221405,                   0.231208890676498, 0, 0, 0, 0, 1), nc = 4) loadView(v = view) 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":1276,\"objects\":{\"1283\":{\"id\":1283,\"type\":\"clipplanes\",\"offsets\":[[-0],[6],[-0],[6],[-0],[6]],\"normals\":\"0\",\"flags\":512},\"1284\":{\"id\":1284,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"1\",\"colors\":\"2\",\"centers\":\"3\",\"ignoreExtent\":false,\"flags\":32832},\"2365\":{\"id\":2365,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"4\",\"colors\":\"5\",\"centers\":\"6\",\"ignoreExtent\":false,\"flags\":32832},\"2367\":{\"id\":2367,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":0,\"floating\":true,\"edge\":[0,1,1]},\"vertices\":\"7\",\"colors\":\"8\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"9\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"2368\":{\"id\":2368,\"type\":\"triangles\",\"material\":{\"alpha\":0.4000000059604645,\"smooth\":false,\"isTransparent\":true},\"vertices\":\"10\",\"colors\":\"12\",\"centers\":\"13\",\"normals\":\"11\",\"ignoreExtent\":false,\"flags\":32809},\"2369\":{\"id\":2369,\"type\":\"triangles\",\"material\":{\"alpha\":0.4000000059604645,\"smooth\":false,\"isTransparent\":true},\"vertices\":\"14\",\"colors\":\"16\",\"centers\":\"17\",\"normals\":\"15\",\"ignoreExtent\":false,\"flags\":32809},\"2370\":{\"id\":2370,\"type\":\"triangles\",\"material\":{\"alpha\":0.4000000059604645,\"smooth\":false,\"isTransparent\":true},\"vertices\":\"18\",\"colors\":\"20\",\"centers\":\"21\",\"normals\":\"19\",\"ignoreExtent\":false,\"flags\":32809},\"2371\":{\"id\":2371,\"type\":\"triangles\",\"material\":{\"alpha\":0.4000000059604645,\"smooth\":false,\"isTransparent\":true},\"vertices\":\"22\",\"colors\":\"24\",\"centers\":\"25\",\"normals\":\"23\",\"ignoreExtent\":false,\"flags\":32809},\"2372\":{\"id\":2372,\"type\":\"triangles\",\"material\":{\"alpha\":0.4000000059604645,\"smooth\":false,\"isTransparent\":true},\"vertices\":\"26\",\"colors\":\"28\",\"centers\":\"29\",\"normals\":\"27\",\"ignoreExtent\":false,\"flags\":32809},\"2373\":{\"id\":2373,\"type\":\"triangles\",\"material\":{\"alpha\":0.4000000059604645,\"smooth\":false,\"isTransparent\":true},\"vertices\":\"30\",\"colors\":\"32\",\"centers\":\"33\",\"normals\":\"31\",\"ignoreExtent\":false,\"flags\":32809},\"2374\":{\"id\":2374,\"type\":\"triangles\",\"material\":{\"alpha\":0.4000000059604645,\"smooth\":false,\"isTransparent\":true},\"vertices\":\"34\",\"colors\":\"36\",\"centers\":\"37\",\"normals\":\"35\",\"ignoreExtent\":false,\"flags\":32809},\"2375\":{\"id\":2375,\"type\":\"triangles\",\"material\":{\"alpha\":0.4000000059604645,\"smooth\":false,\"isTransparent\":true},\"vertices\":\"38\",\"colors\":\"40\",\"centers\":\"41\",\"normals\":\"39\",\"ignoreExtent\":false,\"flags\":32809},\"2376\":{\"id\":2376,\"type\":\"triangles\",\"material\":{\"alpha\":0.4000000059604645,\"smooth\":false,\"isTransparent\":true},\"vertices\":\"42\",\"colors\":\"44\",\"centers\":\"45\",\"normals\":\"43\",\"ignoreExtent\":false,\"flags\":32809},\"2377\":{\"id\":2377,\"type\":\"triangles\",\"material\":{\"alpha\":0.4000000059604645,\"smooth\":false,\"isTransparent\":true},\"vertices\":\"46\",\"colors\":\"48\",\"centers\":\"49\",\"normals\":\"47\",\"ignoreExtent\":false,\"flags\":32809},\"2378\":{\"id\":2378,\"type\":\"points\",\"material\":{\"lit\":false},\"vertices\":\"50\",\"colors\":\"51\",\"centers\":\"52\",\"ignoreExtent\":false,\"flags\":34816},\"2379\":{\"id\":2379,\"type\":\"points\",\"material\":{\"lit\":false,\"size\":7},\"vertices\":\"53\",\"colors\":\"54\",\"centers\":\"55\",\"ignoreExtent\":false,\"flags\":34816},\"2380\":{\"id\":2380,\"type\":\"text\",\"material\":{\"lit\":false},\"vertices\":\"56\",\"colors\":\"57\",\"texts\":[[\"1\"],[\"2\"],[\"3\"],[\"4\"],[\"5\"],[\"6\"],[\"7\"],[\"8\"],[\"9\"],[\"10\"],[\"11\"],[\"12\"],[\"13\"],[\"14\"],[\"15\"],[\"16\"],[\"17\"],[\"18\"],[\"19\"],[\"20\"],[\"21\"],[\"22\"],[\"23\"],[\"24\"],[\"25\"],[\"26\"],[\"27\"],[\"28\"],[\"29\"],[\"30\"],[\"31\"],[\"32\"],[\"33\"],[\"34\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"58\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":false,\"flags\":33808},\"2381\":{\"id\":2381,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"59\",\"colors\":\"60\",\"centers\":\"61\",\"ignoreExtent\":true,\"flags\":32832},\"2382\":{\"id\":2382,\"type\":\"text\",\"ma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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}A <- matrix( c( 3, 2, 5, 2, 1, 1, 1, 1, 3, 5, 2, 4 ), nc = 3, byrow = TRUE) b <- c(55, 26, 30, 57) obj <- matrix(c(1, -6, 3, -4, 1, -1), nrow = 2)  # LP model plotBiObj3D(A, b, obj, crit = \"min\", addTriangles = FALSE, labels = \"coord\")   # ILP model plotBiObj3D(A, b, obj, type = c(\"i\",\"i\",\"i\"), crit = \"min\", labels = \"n\")   # MILP model plotBiObj3D(A, b, obj, type = c(\"c\",\"i\",\"i\"), crit = \"min\", labels = \"n\")  plotBiObj3D(A, b, obj, type = c(\"i\",\"c\",\"i\"), crit = \"min\", labels = \"n\", plotFaces = FALSE)  plotBiObj3D(A, b, obj, type = c(\"i\",\"i\",\"c\"), crit = \"min\", labels = \"n\")  plotBiObj3D(A, b, obj, type = c(\"i\",\"c\",\"c\"), crit = \"min\", labels = \"n\")  plotBiObj3D(A, b, obj, type = c(\"c\",\"i\",\"c\"), crit = \"min\", labels = \"n\", plotFaces = FALSE)  plotBiObj3D(A, b, obj, type = c(\"c\",\"c\",\"i\"), crit = \"min\", labels = \"n\")  # }"},{"path":"http://relund.github.io/gMOIP/reference/plotHull2D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot the convex hull of a set of points in 2D. — plotHull2D","title":"Plot the convex hull of a set of points in 2D. — plotHull2D","text":"Plot convex hull set points 2D.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotHull2D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot the convex hull of a set of points in 2D. — plotHull2D","text":"","code":"plotHull2D(   pts,   drawPoints = FALSE,   drawLines = TRUE,   drawPolygons = TRUE,   addText = FALSE,   addRays = FALSE,   direction = 1,   drawPlot = TRUE,   drawBBoxHull = FALSE,   m = apply(pts, 2, min) - 5,   M = apply(pts, 2, max) + 5,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/plotHull2D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot the convex hull of a set of points in 2D. — plotHull2D","text":"pts matrix point row. drawPoints Draw points. drawLines Draw lines facets. drawPolygons Fill hull. addText Add text points. Currently coord (coordinates), rownames (rownames) supported vector text. addRays Add ray defined direction. direction Ray direction. 'th entry positive, consider 'th column pts plus value greater equal zero (minimize objective $$). negative, consider 'th column pts minus value greater equal zero (maximize objective $$). drawPlot Draw ggplot. Set FALSE want combine hulls single plot. drawBBoxHull addRays draw hull areas hitting bounding box also. m Minimum values bounding box. M Maximum values bounding box. ... arguments passed ggplot plotting functions. must done lists. Currently following arguments supported: argsGeom_point: list arguments ggplot2::geom_point. argsGeom_path: list arguments ggplot2::geom_path. argsGeom_polygon: list arguments ggplot2::geom_polygon. argsGeom_label: list arguments ggplot2::geom_label.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotHull2D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot the convex hull of a set of points in 2D. — plotHull2D","text":"ggplot object drawPlot = TRUE; otherwise, list ggplot components.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotHull2D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Plot the convex hull of a set of points in 2D. — plotHull2D","text":"","code":"library(ggplot2) pts<-matrix(c(1,1), ncol = 2, byrow = TRUE) plotHull2D(pts)  pts1<-matrix(c(2,2, 3,3), ncol = 2, byrow = TRUE) plotHull2D(pts1, drawPoints = TRUE)  plotHull2D(pts1, drawPoints = TRUE, addRays = TRUE, addText = \"coord\")  plotHull2D(pts1, drawPoints = TRUE, addRays = TRUE, addText = \"coord\", drawBBoxHull = TRUE)  plotHull2D(pts1, drawPoints = TRUE, addRays = TRUE, direction = -1, addText = \"coord\")  pts2<-matrix(c(1,1, 2,2, 0,1), ncol = 2, byrow = TRUE) plotHull2D(pts2, drawPoints = TRUE, addText = \"coord\")  plotHull2D(pts2, drawPoints = TRUE, addRays = TRUE, addText = \"coord\")  plotHull2D(pts2, drawPoints = TRUE, addRays = TRUE, direction = -1, addText = \"coord\")  ## Combine hulls ggplot() +   plotHull2D(pts2, drawPoints = TRUE, addText = \"coord\", drawPlot = FALSE) +   plotHull2D(pts1, drawPoints = TRUE, drawPlot = FALSE) +   gMOIPTheme() +   xlab(expression(x[1])) +   ylab(expression(x[2]))   # Plotting an LP A <- matrix(c(-3,2,2,4,9,10), ncol = 2, byrow = TRUE) b <- c(3,27,90) obj <- c(7.75, 10) pts3 <- cornerPoints(A, b) plotHull2D(pts3, drawPoints = TRUE, addText = \"coord\", argsGeom_polygon = list(fill = \"red\"))"},{"path":"http://relund.github.io/gMOIP/reference/plotHull3D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot the convex hull of a set of points in 3D. — plotHull3D","title":"Plot the convex hull of a set of points in 3D. — plotHull3D","text":"Plot convex hull set points 3D.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotHull3D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot the convex hull of a set of points in 3D. — plotHull3D","text":"","code":"plotHull3D(   pts,   drawPoints = FALSE,   drawLines = TRUE,   drawPolygons = TRUE,   addText = FALSE,   addRays = FALSE,   useRGLBBox = TRUE,   direction = 1,   drawBBoxHull = TRUE,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/plotHull3D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot the convex hull of a set of points in 3D. — plotHull3D","text":"pts matrix point row. drawPoints Draw points. drawLines Draw lines facets. drawPolygons Fill facets. addText Add text points. Currently coord (coordinates), rownames (rownames) supported vector text. addRays Add ray defined direction. useRGLBBox Use RGL bounding box add rays. direction Ray direction. 'th entry positive, consider 'th column pts plus value greater equal zero (minimize objective $$). negative, consider 'th column pts minus value greater equal zero (maximize objective $$). drawBBoxHull addRays draw hull areas hitting bounding box also. ... arguments passed RGL plotting functions. must done lists (see examples). Currently following arguments supported: argsPlot3d: list arguments rgl::plot3d. argsSegments3d: list arguments rgl::segments3d. argsPolygon3d: list arguments rgl::polygon3d. argsShade3d: list arguments rgl::shade3d. argsText3d: list arguments rgl::text3d.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotHull3D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot the convex hull of a set of points in 3D. — plotHull3D","text":"list hull, pts classified object ids (invisible).","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotHull3D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Plot the convex hull of a set of points in 3D. — plotHull3D","text":"3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot","code":"# \\donttest{ ini3D() pts<-matrix(c(0,0,0), ncol = 3, byrow = TRUE) plotHull3D(pts) # a point pts<-matrix(c(1,1,1,2,2,2,3,3,3), ncol = 3, byrow = TRUE) plotHull3D(pts, drawPoints = TRUE) # a line pts<-matrix(c(1,0,0,1,1,1,1,2,2,3,1,1,3,3,3), ncol = 3, byrow = TRUE) plotHull3D(pts, drawLines = FALSE, argsPolygon3d = list(alpha=0.6)) # a polygon pts<-matrix(c(5,5,5,10,10,5,10,5,5,5,5,10), ncol = 3, byrow = TRUE) lst <- plotHull3D(pts, argsPolygon3d = list(alpha=0.9), argsSegments3d = list(color=\"red\")) finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# pop3d(id = lst$ids) # remove last hull  ## Using addRays pts <- data.frame(x = c(1,3), y = c(1,3), z = c(1,3)) ini3D(argsPlot3d = list(xlim = c(0,max(pts$x)+10),   ylim = c(0,max(pts$y)+10),   zlim = c(0,max(pts$z)+10))) plotHull3D(pts, drawPoints = TRUE, addRays = TRUE, , drawBBoxHull = FALSE) plotHull3D(c(4,4,4), drawPoints = TRUE, addRays = TRUE) finalize3D() 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} pts <- data.frame(x = c(4,2.5,1), y = c(1,2.5,4), z = c(1,2.5,4)) ini3D(argsPlot3d = list(xlim = c(0,max(pts$x)+10),   ylim = c(0,max(pts$y)+10),   zlim = c(0,max(pts$z)+10))) plotHull3D(pts, drawPoints = TRUE, addRays = TRUE) finalize3D() 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":3170,\"objects\":{\"3177\":{\"id\":3177,\"type\":\"clipplanes\",\"offsets\":[[-0],[14],[-0],[14],[-0],[14]],\"normals\":\"0\",\"flags\":512},\"3178\":{\"id\":3178,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"1\",\"colors\":\"2\",\"centers\":\"3\",\"ignoreExtent\":false,\"flags\":32832},\"3179\":{\"id\":3179,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"4\",\"colors\":\"5\",\"centers\":\"6\",\"ignoreExtent\":false,\"flags\":32832},\"3181\":{\"id\":3181,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":0,\"floating\":true,\"edge\":[0,1,1]},\"vertices\":\"7\",\"colors\":\"8\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"9\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"3182\":{\"id\":3182,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":1,\"floating\":true,\"edge\":[1,1,1]},\"vertices\":\"10\",\"colors\":\"11\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"12\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"3183\":{\"id\":3183,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":2,\"floating\":true,\"edge\":[1,1,1]},\"vertices\":\"13\",\"colors\":\"14\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"15\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"3184\":{\"id\":3184,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"16\",\"colors\":\"17\",\"centers\":\"18\",\"ignoreExtent\":false,\"flags\":32832},\"3185\":{\"id\":3185,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"19\",\"colors\":\"21\",\"centers\":\"22\",\"normals\":\"20\",\"ignoreExtent\":false,\"flags\":32811},\"3186\":{\"id\":3186,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"23\",\"colors\":\"24\",\"centers\":\"25\",\"ignoreExtent\":false,\"flags\":32832},\"3187\":{\"id\":3187,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"26\",\"colors\":\"28\",\"centers\":\"29\",\"normals\":\"27\",\"ignoreExtent\":false,\"flags\":32811},\"3188\":{\"id\":3188,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"30\",\"colors\":\"31\",\"centers\":\"32\",\"ignoreExtent\":false,\"flags\":32832},\"3189\":{\"id\":3189,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"33\",\"colors\":\"35\",\"centers\":\"36\",\"normals\":\"34\",\"ignoreExtent\":false,\"flags\":32811},\"3190\":{\"id\":3190,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"37\",\"colors\":\"38\",\"centers\":\"39\",\"ignoreExtent\":false,\"flags\":32832},\"3191\":{\"id\":3191,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"40\",\"colors\":\"42\",\"centers\":\"43\",\"normals\":\"41\",\"ignoreExtent\":false,\"flags\":32811},\"3192\":{\"id\":3192,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"44\",\"colors\":\"45\",\"centers\":\"46\",\"ignoreExtent\":false,\"flags\":32832},\"3193\":{\"id\":3193,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"47\",\"colors\":\"49\",\"centers\":\"50\",\"normals\":\"48\",\"ignoreExtent\":false,\"flags\":32811},\"3194\":{\"id\":3194,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"51\",\"colors\":\"52\",\"centers\":\"53\",\"ignoreExtent\":false,\"flags\":32832},\"3195\":{\"id\":3195,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"54\",\"colors\":\"56\",\"centers\":\"57\",\"normals\":\"55\",\"ignoreExtent\":false,\"flags\":32811},\"3196\":{\"id\":3196,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"58\",\"colors\":\"59\",\"centers\":\"60\",\"ignoreExtent\":false,\"flags\":32832},\"3197\":{\"id\":3197,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"61\",\"colors\":\"63\",\"centers\":\"64\",\"normals\":\"62\",\"ignoreExtent\":false,\"flags\":32811},\"3198\":{\"id\":3198,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} pts <- matrix(c(   0, 4, 8,   0, 8, 4,   8, 4, 0,   4, 8, 0,   4, 0, 8,   8, 0, 4,   4, 4, 4,   6, 6, 6   ), ncol = 3, byrow = TRUE) ini3D(FALSE, argsPlot3d = list(xlim = c(min(pts[,1])-2,max(pts[,1])+10),   ylim = c(min(pts[,2])-2,max(pts[,2])+10),   zlim = c(min(pts[,3])-2,max(pts[,3])+10))) plotHull3D(pts, drawPoints = TRUE, addText = \"coord\") plotHull3D(pts, addRays = TRUE) finalize3D() 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":3170,\"objects\":{\"3177\":{\"id\":3177,\"type\":\"clipplanes\",\"offsets\":[[-0],[14],[-0],[14],[-0],[14]],\"normals\":\"0\",\"flags\":512},\"3178\":{\"id\":3178,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"1\",\"colors\":\"2\",\"centers\":\"3\",\"ignoreExtent\":false,\"flags\":32832},\"3211\":{\"id\":3211,\"type\":\"clipplanes\",\"offsets\":[[2],[18],[2],[18],[2],[18]],\"normals\":\"4\",\"flags\":512},\"3212\":{\"id\":3212,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"5\",\"colors\":\"6\",\"centers\":\"7\",\"ignoreExtent\":false,\"flags\":32832},\"3213\":{\"id\":3213,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"8\",\"colors\":\"9\",\"centers\":\"10\",\"ignoreExtent\":false,\"flags\":32832},\"3215\":{\"id\":3215,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":0,\"floating\":true,\"edge\":[0,1,1]},\"vertices\":\"11\",\"colors\":\"12\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"13\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"3216\":{\"id\":3216,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":1,\"floating\":true,\"edge\":[1,1,1]},\"vertices\":\"14\",\"colors\":\"15\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"16\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"3217\":{\"id\":3217,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":2,\"floating\":true,\"edge\":[1,1,1]},\"vertices\":\"17\",\"colors\":\"18\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"19\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"3218\":{\"id\":3218,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"20\",\"colors\":\"21\",\"centers\":\"22\",\"ignoreExtent\":false,\"flags\":32832},\"3219\":{\"id\":3219,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"23\",\"colors\":\"25\",\"centers\":\"26\",\"normals\":\"24\",\"ignoreExtent\":false,\"flags\":32811},\"3220\":{\"id\":3220,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"27\",\"colors\":\"28\",\"centers\":\"29\",\"ignoreExtent\":false,\"flags\":32832},\"3221\":{\"id\":3221,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"30\",\"colors\":\"32\",\"centers\":\"33\",\"normals\":\"31\",\"ignoreExtent\":false,\"flags\":32811},\"3222\":{\"id\":3222,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"34\",\"colors\":\"35\",\"centers\":\"36\",\"ignoreExtent\":false,\"flags\":32832},\"3223\":{\"id\":3223,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"37\",\"colors\":\"39\",\"centers\":\"40\",\"normals\":\"38\",\"ignoreExtent\":false,\"flags\":32811},\"3224\":{\"id\":3224,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"41\",\"colors\":\"42\",\"centers\":\"43\",\"ignoreExtent\":false,\"flags\":32832},\"3225\":{\"id\":3225,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"44\",\"colors\":\"46\",\"centers\":\"47\",\"normals\":\"45\",\"ignoreExtent\":false,\"flags\":32811},\"3226\":{\"id\":3226,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"48\",\"colors\":\"49\",\"centers\":\"50\",\"ignoreExtent\":false,\"flags\":32832},\"3227\":{\"id\":3227,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"51\",\"colors\":\"53\",\"centers\":\"54\",\"normals\":\"52\",\"ignoreExtent\":false,\"flags\":32811},\"3228\":{\"id\":3228,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"55\",\"colors\":\"56\",\"centers\":\"57\",\"ignoreExtent\":false,\"flags\":32832},\"3229\":{\"id\":3229,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"58\",\"colors\":\"60\",\"centers\":\"61\",\"normals\":\"59\",\"ignoreExtent\":false,\"flags\":32811},\"3230\":{\"id\":3230,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"62\",\"colors\":\"63\",\"centers\":\"64\",\"ignoreExtent\":false,\"flags\":32832},\"3231\":{\"id\":32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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} pts <- genNDSet(3, 100, dubND = FALSE) pts <- as.data.frame(pts[,1:3])  ini3D(argsPlot3d = list(   xlim = c(0,max(pts[,1])+10),   ylim = c(0,max(pts[,2])+10),   zlim = c(0,max(pts[,3])+10))) plotHull3D(pts, drawPoints = TRUE, addRays = TRUE) finalize3D() 3D plot  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AVlUtQquq4kEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAOBA\\nAAAUQgAA8EEAAEBAAAAkQgAAJEIAAOBAAAAUQgAA8EEAAMB/AADAfwAAwH8AAEBAAAAkQgAA\\nJEIAAKBAAABAQgAA8EEAAEBAAAAkQgAAJEIAAMB/AADAfwAAwH8AAOBAAAAUQgAA8EEAAKBA\\nAABAQgAA8EEAAOBAAAAUQgAA8EHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADgQAAAFEIAAPBBAABAQAAAJEIAACRCAADgQAAAFEIAAPBB\\nAADAfwAAwH8AAMB/AABAQAAAJEIAACRCAACgQAAAQEIAAPBBAABAQAAAJEIAACRCAADAfwAA\\nwH8AAMB/AADgQAAAFEIAAPBBAACgQAAAQEIAAPBBAADgQAAAFEIAAPBBByUeAykpBTAeAAAA\\nKbpxvzXNL75x1o++KbpxvzXNL75x1o++KbpxvzXNL75x1o++AACAPwAAgD8AAIA/ycjIPQAA\\noEAAAChCq6oGQgAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA4EAAABRC\\nAADwQQAAQEAAACRCAAAkQgAA4EAAABRCAADwQQAAwH8AAMB/AADAfwAAQEAAACRCAAAkQgAA\\nQEAAABRCAAAwQgAAQEAAACRCAAAkQgAAwH8AAMB/AADAfwAA4EAAABRCAADwQQAAQEAAABRC\\nAAAwQgAA4EAAABRCAADwQc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAOBAAAAUQgAA8EEAAEBAAAAkQgAAJEIAAOBAAAAUQgAA8EEAAMB/\\nAADAfwAAwH8AAEBAAAAkQgAAJEIAAEBAAAAUQgAAMEIAAEBAAAAkQgAAJEIAAMB/AADAfwAA\\nwH8AAOBAAAAUQgAA8EEAAEBAAAAUQgAAMEIAAOBAAAAUQgAA8EEHJR4DKSkDJSwAAAD/FXE/\\nJKVOPm3DiT7/FXE/JKVOPm3DiT7/FXE/JKVOPm3DiT4AAIA/AACAPwAAgD/JyMg9q6qKQFZV\\nGUJWVRlCAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AABgQQAAHEIAAJhB\\nAAAAQQAANEIAAMhBAABgQQAAHEIAAJhBAADAfwAAwH8AAMB/AAAAQQAANEIAAMhBAABAQQAA\\nPEIAAKBBAAAAQQAANEIAAMhBAADAfwAAwH8AAMB/AABgQQAAHEIAAJhBAABAQQAAPEIAAKBB\\nAABgQQAAHEIAAJhBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAYEEAABxCAACYQQAAAEEAADRCAADIQQAAYEEAABxCAACYQQAAwH8AAMB/\\nAADAfwAAAEEAADRCAADIQQAAQEEAADxCAACgQQAAAEEAADRCAADIQQAAwH8AAMB/AADAfwAA\\nYEEAABxCAACYQQAAQEEAADxCAACgQQAAYEEAABxCAACYQQ4nEwgtGQwvFAAAAIA8Qb9u19y9\\nkqElv4A8Qb9u19y9kqElv4A8Qb9u19y9kqElvwAAgD8AAIA/AACAP8nIyD1WVTVBq6ouQquq\\nqkEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAGBBAAAcQgAAmEEAAJBB\\nAAA0QgAAYEEAAGBBAAAcQgAAmEEAAMB/AADAfwAAwH8AAJBBAAA0QgAAYEEAAEBBAAA8QgAA\\noEEAAJBBAAA0QgAAYEEAAMB/AADAfwAAwH8AAGBBAAAcQgAAmEEAAEBBAAA8QgAAoEEAAGBB\\nAAAcQgAAmEHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AABgQQAAHEIAAJhBAACQQQAANEIAAGBBAABgQQAAHEIAAJhBAADAfwAAwH8AAMB/\\nAACQQQAANEIAAGBBAABAQQAAPEIAAKBBAACQQQAANEIAAGBBAADAfwAAwH8AAMB/AABgQQAA\\nHEIAAJhBAABAQQAAPEIAAKBBAABgQQAAHEIAAJhBDicTEi0ODC8UAAAAES44PxIwwD0QLDA/\\nES44PxIwwD0QLDA/ES44PxIwwD0QLDA/AACAPwAAgD8AAIA/ycjIPauqakGrqi5CVlWNQQAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAYEEAABxCAACYQQAAkEEAADRC\\nAABgQQAAYEEAABxCAACYQQAAwH8AAMB/AADAfwAAkEEAADRCAABgQQAAsEEAACBCAAAwQQAA\\nkEEAADRCAABgQQAAwH8AAMB/AADAfwAAYEEAABxCAACYQQAAsEEAACBCAAAwQQAAYEEAABxC\\nAACYQc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAGBBAAAcQgAAmEEAAJBBAAA0QgAAYEEAAGBBAAAcQgAAmEEAAMB/AADAfwAAwH8AAJBB\\nAAA0QgAAYEEAALBBAAAgQgAAMEEAAJBBAAA0QgAAYEEAAMB/AADAfwAAwH8AAGBBAAAcQgAA\\nmEEAALBBAAAgQgAAMEEAAGBBAAAcQgAAmEEOJxMSLQ4WKAsAAADbbjG/DgsEvjOPNb/bbjG/\\nDgsEvjOPNb/bbjG/DgsEvjOPNb8AAIA/AACAPwAAgD/JyMg9AACQQVZVJUKrqmpBAADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAAQQAAikIAAMhBAAAAQQAANEIAAMhB\\nAAAAQQAAikIAAMhBAADAfwAAwH8AAMB/AAAAQQAANEIAAMhBAACgQAAAQEIAAPBBAAAAQQAA\\nNEIAAMhBAADAfwAAwH8AAMB/AACgQAAAQEIAAPBBAACgQAAAikIAAPBBAACgQAAAQEIAAPBB\\nzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nAEEAAIpCAADIQQAAAEEAADRCAADIQQAAAEEAAIpCAADIQQAAwH8AAMB/AADAfwAAAEEAADRC\\nAADIQQAAoEAAAEBCAADwQQAAAEEAADRCAADIQQAAwH8AAMB/AADAfwAAoEAAAEBCAADwQQAA\\noEAAAIpCAADwQQAAoEAAAEBCAADwQQhFGQgtGQUwHgVFHqiEW78AAAAA/7UDv6iEW78AAAAA\\n/7UDv6iEW78AAAAA/7UDv6iEW78AAAAA/7UDvwAAgD8AAIA/AACAP8nIyD0AANBAAABnQgAA\\n3EEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAEBBAACKQgAAoEEAAEBB\\nAAA8QgAAoEEAAEBBAACKQgAAoEEAAMB/AADAfwAAwH8AAEBBAAA8QgAAoEEAAABBAAA0QgAA\\nyEEAAEBBAAA8QgAAoEEAAMB/AADAfwAAwH8AAABBAAA0QgAAyEEAAABBAACKQgAAyEEAAABB\\nAAA0QgAAyEHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AABAQQAAikIAAKBBAABAQQAAPEIAAKBBAABAQQAAikIAAKBBAADAfwAAwH8AAMB/\\nAABAQQAAPEIAAKBBAAAAQQAANEIAAMhBAABAQQAAPEIAAKBBAADAfwAAwH8AAMB/AAAAQQAA\\nNEIAAMhBAAAAQQAAikIAAMhBAAAAQQAANEIAAMhBDEUUDC8UCC0ZCEUZBedHvwAAAAAE7B+/\\nBedHvwAAAAAE7B+/BedHvwAAAAAE7B+/BedHvwAAAAAE7B+/AACAPwAAgD8AAIA/ycjIPQAA\\nIEEAAGZCAAC0QQAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAJEIAAPBB\\nAADAQAAACEIAABxCAACgQAAAJEIAAPBBAADAQAAAwH8AAMB/AADAfwAACEIAABxCAACgQAAA\\nOEIAACBCAAAAQAAACEIAABxCAACgQAAAwH8AAMB/AADAfwAAJEIAAPBBAADAQAAAOEIAACBC\\nAAAAQAAAJEIAAPBBAADAQM3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AACRCAADwQQAAwEAAAAhCAAAcQgAAoEAAACRCAADwQQAAwEAAAMB/\\nAADAfwAAwH8AAAhCAAAcQgAAoEAAADhCAAAgQgAAAEAAAAhCAAAcQgAAoEAAAMB/AADAfwAA\\nwH8AACRCAADwQQAAwEAAADhCAAAgQgAAAEAAACRCAADwQQAAwEApHgYiJwUuKAIAAADgdFm+\\nUwCKvu50cL/gdFm+UwCKvu50cL/gdFm+UwCKvu50cL8AAIA/AACAPwAAgD/JyMg9VlUhQlZV\\nEUKrqopAAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADIQQAANEIAAABB\\nAACQQQAANEIAAGBBAADIQQAANEIAAABBAADAfwAAwH8AAMB/AACQQQAANEIAAGBBAACwQQAA\\nIEIAADBBAACQQQAANEIAAGBBAADAfwAAwH8AAMB/AADIQQAANEIAAABBAACwQQAAIEIAADBB\\nAADIQQAANEIAAABBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAyEEAADRCAAAAQQAAkEEAADRCAABgQQAAyEEAADRCAAAAQQAAwH8AAMB/\\nAADAfwAAkEEAADRCAABgQQAAsEEAACBCAAAwQQAAkEEAADRCAABgQQAAwH8AAMB/AADAfwAA\\nyEEAADRCAAAAQQAAsEEAACBCAAAwQQAAyEEAADRCAAAAQRktCBItDhYoCwAAADxAJj8wAIU9\\nm/VBPzxAJj8wAIU9m/VBPzxAJj8wAIU9m/VBPwAAgD8AAIA/AACAP8nIyD1WVa1BVlUtQgAA\\nMEEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMhBAACKQgAAAEEAAMhB\\nAAA0QgAAAEEAAMhBAACKQgAAAEEAAMB/AADAfwAAwH8AAMhBAAA0QgAAAEEAAJBBAAA0QgAA\\nYEEAAMhBAAA0QgAAAEEAAMB/AADAfwAAwH8AAJBBAAA0QgAAYEEAAJBBAACKQgAAYEEAAJBB\\nAAA0QgAAYEHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADIQQAAikIAAABBAADIQQAANEIAAABBAADIQQAAikIAAABBAADAfwAAwH8AAMB/\\nAADIQQAANEIAAABBAACQQQAANEIAAGBBAADIQQAANEIAAABBAADAfwAAwH8AAMB/AACQQQAA\\nNEIAAGBBAACQQQAAikIAAGBBAACQQQAANEIAAGBBGUUIGS0IEi0OEkUOQ5omvwAAAACkXkK/\\nQ5omvwAAAACkXkK/Q5omvwAAAACkXkK/Q5omvwAAAACkXkK/AACAPwAAgD8AAIA/ycjIPQAA\\nrEEAAGRCAAAwQQAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAgEAAAAhC\\nAABUQgAAwEAAAOhBAAA8QgAAgEAAAAhCAABUQgAAwH8AAMB/AADAfwAAwEAAAOhBAAA8QgAA\\nQEAAABRCAAAwQgAAwEAAAOhBAAA8QgAAwH8AAMB/AADAfwAAgEAAAAhCAABUQgAAQEAAABRC\\nAAAwQgAAgEAAAAhCAABUQs3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAIBAAAAIQgAAVEIAAMBAAADoQQAAPEIAAIBAAAAIQgAAVEIAAMB/\\nAADAfwAAwH8AAMBAAADoQQAAPEIAAEBAAAAUQgAAMEIAAMBAAADoQQAAPEIAAMB/AADAfwAA\\nwH8AAIBAAAAIQgAAVEIAAEBAAAAUQgAAMEIAAIBAAAAIQgAAVEIEIjUGHS8DJSwAAADaM28/\\n4z+2Ptn/cjzaM28/4z+2Ptn/cjzaM28/4z+2Ptn/cjwAAIA/AACAPwAAgD/JyMg9q6qKQFZV\\nBUIAAEBCAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AABAQAAAFEIAADBC\\nAACAQAAACEIAAFRCAABAQAAAFEIAADBCAADAfwAAwH8AAMB/AACAQAAACEIAAFRCAACAQAAA\\nCEIAAIhCAACAQAAACEIAAFRCAADAfwAAwH8AAMB/AABAQAAAFEIAADBCAABAQAAAFEIAAIhC\\nAABAQAAAFEIAADBCzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAQEAAABRCAAAwQgAAgEAAAAhCAABUQgAAQEAAABRCAAAwQgAAwH8AAMB/\\nAADAfwAAgEAAAAhCAABUQgAAgEAAAAhCAACIQgAAgEAAAAhCAABUQgAAwH8AAMB/AADAfwAA\\nQEAAABRCAAAwQgAAQEAAABRCAACIQgAAQEAAABRCAAAwQgMlLAQiNQQiRAMlROjccr+a6KG+\\nAAAAAOjccr+a6KG+AAAAAOjccr+a6KG+AAAAAOjccr+a6KG+AAAAAAAAgD8AAIA/AACAP8nI\\nyD0AAGBAAAAOQgAAaUIAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAIBA\\nAAAIQgAAVEIAAMBAAADoQQAAPEIAAIBAAAAIQgAAVEIAAMB/AADAfwAAwH8AAMBAAADoQQAA\\nPEIAAMBAAADoQQAAiEIAAMBAAADoQQAAPEIAAMB/AADAfwAAwH8AAIBAAAAIQgAAVEIAAIBA\\nAAAIQgAAiEIAAIBAAAAIQgAAVELNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AACAQAAACEIAAFRCAADAQAAA6EEAADxCAACAQAAACEIAAFRC\\nAADAfwAAwH8AAMB/AADAQAAA6EEAADxCAADAQAAA6EEAAIhCAADAQAAA6EEAADxCAADAfwAA\\nwH8AAMB/AACAQAAACEIAAFRCAACAQAAACEIAAIhCAACAQAAACEIAAFRCBCI1Bh0vBh1EBCJE\\nprBtv+smvr4AAAAAprBtv+smvr4AAAAAprBtv+smvr4AAAAAprBtv+smvr4AAAAAAACAPwAA\\ngD8AAIA/ycjIPQAAoEAAAPxBAABsQgAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAyEEAABhCAAAgQQAAyEEAAOBBAABgQQAAyEEAABhCAAAgQQAAwH8AAMB/AADAfwAA\\nyEEAAOBBAABgQQAAsEEAACBCAAAwQQAAyEEAAOBBAABgQQAAwH8AAMB/AADAfwAAyEEAABhC\\nAAAgQQAAsEEAACBCAAAwQQAAyEEAABhCAAAgQc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMhBAAAYQgAAIEEAAMhBAADgQQAAYEEAAMhB\\nAAAYQgAAIEEAAMB/AADAfwAAwH8AAMhBAADgQQAAYEEAALBBAAAgQgAAMEEAAMhBAADgQQAA\\nYEEAAMB/AADAfwAAwH8AAMhBAAAYQgAAIEEAALBBAAAgQgAAMEEAAMhBAAAYQgAAIEEZJgoZ\\nHA4WKAsAAAAPLPm+Xx2mvrekT78PLPm+Xx2mvrekT78PLPm+Xx2mvrekT78AAIA/AACAPwAA\\ngD/JyMg9AADAQVZVDUKrqjpBAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADIQQAANEIAAABBAAAIQgAAHEIAAKBAAADIQQAANEIAAABBAADAfwAAwH8AAMB/AAAIQgAA\\nHEIAAKBAAADIQQAAGEIAACBBAAAIQgAAHEIAAKBAAADAfwAAwH8AAMB/AADIQQAAGEIAACBB\\nAACwQQAAIEIAADBBAADIQQAAGEIAACBBAADAfwAAwH8AAMB/AADIQQAANEIAAABBAACwQQAA\\nIEIAADBBAADIQQAANEIAAABBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAyEEAADRCAAAAQQAACEIAABxCAACgQAAAyEEAADRCAAAAQQAA\\nwH8AAMB/AADAfwAACEIAABxCAACgQAAAyEEAABhCAAAgQQAACEIAABxCAACgQAAAwH8AAMB/\\nAADAfwAAyEEAABhCAAAgQQAAsEEAACBCAAAwQQAAyEEAABhCAAAgQQAAwH8AAMB/AADAfwAA\\nyEEAADRCAAAAQQAAsEEAACBCAAAwQQAAyEEAADRCAAAAQRktCCInBRkmChYoC0NP5r4yP3u+\\nTNdbv0NP5r4yP3u+TNdbv0NP5r4yP3u+TNdbv0NP5r4yP3u+TNdbvwAAgD8AAIA/AACAP8nI\\nyD0AANRBAAAiQgAACEEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AADBB\\nAAAcQgAAuEEAAOBAAAAUQgAA8EEAADBBAAAcQgAAuEEAAMB/AADAfwAAwH8AAOBAAAAUQgAA\\n8EEAAABBAAA0QgAAyEEAAOBAAAAUQgAA8EEAAMB/AADAfwAAwH8AADBBAAAcQgAAuEEAAABB\\nAAA0QgAAyEEAADBBAAAcQgAAuEHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AAAwQQAAHEIAALhBAADgQAAAFEIAAPBBAAAwQQAAHEIAALhB\\nAADAfwAAwH8AAMB/AADgQAAAFEIAAPBBAAAAQQAANEIAAMhBAADgQAAAFEIAAPBBAADAfwAA\\nwH8AAMB/AAAwQQAAHEIAALhBAAAAQQAANEIAAMhBAAAwQQAAHEIAALhBCycXByUeCC0ZAAAA\\ncKlQv+7ga752FQi/cKlQv+7ga752FQi/cKlQv+7ga752FQi/AACAPwAAgD8AAIA/ycjIPauq\\nCkFWVSFCAADQQQAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAMEEAABxC\\nAAC4QQAAYEEAABxCAACYQQAAMEEAABxCAAC4QQAAwH8AAMB/AADAfwAAYEEAABxCAACYQQAA\\nAEEAADRCAADIQQAAYEEAABxCAACYQQAAwH8AAMB/AADAfwAAMEEAABxCAAC4QQAAAEEAADRC\\nAADIQQAAMEEAABxCAAC4Qc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AADBBAAAcQgAAuEEAAGBBAAAcQgAAmEEAADBBAAAcQgAAuEEAAMB/\\nAADAfwAAwH8AAGBBAAAcQgAAmEEAAABBAAA0QgAAyEEAAGBBAAAcQgAAmEEAAMB/AADAfwAA\\nwH8AADBBAAAcQgAAuEEAAABBAAA0QgAAyEEAADBBAAAcQgAAuEELJxcOJxMILRkAAACs0kg/\\nrNJIPgGeFj+s0kg/rNJIPgGeFj+s0kg/rNJIPgGeFj8AAIA/AACAPwAAgD/JyMg9AAAwQQAA\\nJEKrqrJBAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACoQQAAFEIAAFBB\\nAADIQQAA4EEAAGBBAACoQQAAFEIAAFBBAADAfwAAwH8AAMB/AADIQQAA4EEAAGBBAACwQQAA\\nIEIAADBBAADIQQAA4EEAAGBBAADAfwAAwH8AAMB/AACoQQAAFEIAAFBBAACwQQAAIEIAADBB\\nAACoQQAAFEIAAFBBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAqEEAABRCAABQQQAAyEEAAOBBAABgQQAAqEEAABRCAABQQQAAwH8AAMB/\\nAADAfwAAyEEAAOBBAABgQQAAsEEAACBCAAAwQQAAyEEAAOBBAABgQQAAwH8AAMB/AADAfwAA\\nqEEAABRCAABQQQAAsEEAACBCAAAwQQAAqEEAABRCAABQQRUlDRkcDhYoCwAAAI5/DD8Qmag+\\nk7JEP45/DD8Qmag+k7JEP45/DD8Qmag+k7JEPwAAgD8AAIA/AACAP8nIyD1WVbVBAAAMQquq\\nSkEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAKhBAAAUQgAAUEEAAGBB\\nAAAcQgAAmEEAAKhBAAAUQgAAUEEAAMB/AADAfwAAwH8AAGBBAAAcQgAAmEEAALBBAAAgQgAA\\nMEEAAGBBAAAcQgAAmEEAAMB/AADAfwAAwH8AAKhBAAAUQgAAUEEAALBBAAAgQgAAMEEAAKhB\\nAAAUQgAAUEHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AACoQQAAFEIAAFBBAABgQQAAHEIAAJhBAACoQQAAFEIAAFBBAADAfwAAwH8AAMB/\\nAABgQQAAHEIAAJhBAACwQQAAIEIAADBBAABgQQAAHEIAAJhBAADAfwAAwH8AAMB/AACoQQAA\\nFEIAAFBBAACwQQAAIEIAADBBAACoQQAAFEIAAFBBFSUNDicTFigLAAAAZZ0rvx+feb5eajO/\\nZZ0rvx+feb5eajO/ZZ0rvx+feb5eajO/AACAPwAAgD8AAIA/ycjIPQAAmEGrqhpCVlVlQQAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAAEIAAPhBAAAQQQAAJEIAAPBB\\nAADAQAAAAEIAAPhBAAAQQQAAwH8AAMB/AADAfwAAJEIAAPBBAADAQAAACEIAABxCAACgQAAA\\nJEIAAPBBAADAQAAAwH8AAMB/AADAfwAAAEIAAPhBAAAQQQAACEIAABxCAACgQAAAAEIAAPhB\\nAAAQQc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAABCAAD4QQAAEEEAACRCAADwQQAAwEAAAABCAAD4QQAAEEEAAMB/AADAfwAAwH8AACRC\\nAADwQQAAwEAAAAhCAAAcQgAAoEAAACRCAADwQQAAwEAAAMB/AADAfwAAwH8AAABCAAD4QQAA\\nEEEAAAhCAAAcQgAAoEAAAABCAAD4QQAAEEEgHwkpHgYiJwUAAAAzbKk+Noa1PkPhXz8zbKk+\\nNoa1PkPhXz8zbKk+Noa1PkPhXz8AAIA/AACAPwAAgD/JyMg9q6oOQlZVBUJWVdVAAADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAAQgAA+EEAABBBAADIQQAAGEIAACBB\\nAAAAQgAA+EEAABBBAADAfwAAwH8AAMB/AADIQQAAGEIAACBBAAAIQgAAHEIAAKBAAADIQQAA\\nGEIAACBBAADAfwAAwH8AAMB/AAAAQgAA+EEAABBBAAAIQgAAHEIAAKBAAAAAQgAA+EEAABBB\\nzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nAEIAAPhBAAAQQQAAyEEAABhCAAAgQQAAAEIAAPhBAAAQQQAAwH8AAMB/AADAfwAAyEEAABhC\\nAAAgQQAACEIAABxCAACgQAAAyEEAABhCAAAgQQAAwH8AAMB/AADAfwAAAEIAAPhBAAAQQQAA\\nCEIAABxCAACgQAAAAEIAAPhBAAAQQSAfCRkmCiInBQAAAMhY3r50laC+pitYv8hY3r50laC+\\npitYv8hY3r50laC+pitYvwAAgD8AAIA/AACAP8nIyD2rqvJBAAAQQgAAAEEAAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAABCAAD4QQAAEEEAAMhBAAAYQgAAIEEAAABC\\nAAD4QQAAEEEAAMB/AADAfwAAwH8AAMhBAAAYQgAAIEEAAMhBAADgQQAAYEEAAMhBAAAYQgAA\\nIEEAAMB/AADAfwAAwH8AAABCAAD4QQAAEEEAAMhBAADgQQAAYEEAAABCAAD4QQAAEEHNzMw+\\nzczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAAQgAA\\n+EEAABBBAADIQQAAGEIAACBBAAAAQgAA+EEAABBBAADAfwAAwH8AAMB/AADIQQAAGEIAACBB\\nAADIQQAA4EEAAGBBAADIQQAAGEIAACBBAADAfwAAwH8AAMB/AAAAQgAA+EEAABBBAADIQQAA\\n4EEAAGBBAAAAQgAA+EEAABBBIB8JGSYKGRwOAAAAQHLmPnLNqT7PQFQ/QHLmPnLNqT7PQFQ/\\nQHLmPnLNqT7PQFQ/AACAPwAAgD8AAIA/ycjIPauq2kFWVQFCAAAwQQAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAASEIAAMhBAAAAQQAAJEIAAPBBAADAQAAASEIAAMhB\\nAAAAQQAAwH8AAMB/AADAfwAAJEIAAPBBAADAQAAANEIAAJBBAABQQQAAJEIAAPBBAADAQAAA\\nwH8AAMB/AADAfwAASEIAAMhBAAAAQQAANEIAAJBBAABQQQAASEIAAMhBAAAAQc3MzD7NzMw+\\nzczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAEhCAADIQQAA\\nAEEAACRCAADwQQAAwEAAAEhCAADIQQAAAEEAAMB/AADAfwAAwH8AACRCAADwQQAAwEAAADRC\\nAACQQQAAUEEAACRCAADwQQAAwEAAAMB/AADAfwAAwH8AAEhCAADIQQAAAEEAADRCAACQQQAA\\nUEEAAEhCAADIQQAAAEEyGQgpHgYtEg0AAADO4Nc9gewGP87gVz/O4Nc9gewGP87gVz/O4Nc9\\ngewGP87gVz8AAIA/AACAPwAAgD/JyMg9VlU1QquqwkEAABBBAADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AAA4QgAAREIAAIA/AAAIQgAAHEIAAKBAAAA4QgAAREIAAIA/\\nAADAfwAAwH8AAMB/AAAIQgAAHEIAAKBAAAA4QgAAIEIAAABAAAAIQgAAHEIAAKBAAADAfwAA\\nwH8AAMB/AAA4QgAAREIAAIA/AAA4QgAAIEIAAABAAAA4QgAAREIAAIA/zczMPs3MzD7NzMw+\\nAACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAOEIAAERCAACAPwAA\\nCEIAABxCAACgQAAAOEIAAERCAACAPwAAwH8AAMB/AADAfwAACEIAABxCAACgQAAAOEIAACBC\\nAAAAQAAACEIAABxCAACgQAAAwH8AAMB/AADAfwAAOEIAAERCAACAPwAAOEIAACBCAAAAQAAA\\nOEIAAERCAACAPy4xASInBS4oAgAAAOtIbj6K9Ns9HHN3P+tIbj6K9Ns9HHN3P+tIbj6K9Ns9\\nHHN3PwAAgD8AAIA/AACAP8nIyD0AAChCq6oqQquqKkAAAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AADhCAABEQgAAgD8AABBCAABgQgAAQEAAADhCAABEQgAAgD8AAMB/\\nAADAfwAAwH8AABBCAABgQgAAQEAAAAhCAAAcQgAAoEAAABBCAABgQgAAQEAAAMB/AADAfwAA\\nwH8AADhCAABEQgAAgD8AAAhCAAAcQgAAoEAAADhCAABEQgAAgD/NzMw+zczMPs3MzD4AAIA/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAA4QgAAREIAAIA/AAAQQgAA\\nYEIAAEBAAAA4QgAAREIAAIA/AADAfwAAwH8AAMB/AAAQQgAAYEIAAEBAAAAIQgAAHEIAAKBA\\nAAAQQgAAYEIAAEBAAADAfwAAwH8AAMB/AAA4QgAAREIAAIA/AAAIQgAAHEIAAKBAAAA4QgAA\\nREIAAIA/LjEBJDgDIicFAAAA8ciAPpe2qz151nY/8ciAPpe2qz151nY/8ciAPpe2qz151nY/\\nAACAPwAAgD8AAIA/ycjIPauqGkIAAEBCAABAQAAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAOEIAAIpCAACAPwAAOEIAAERCAACAPwAAOEIAAIpCAACAPwAAwH8AAMB/\\nAADAfwAAOEIAAERCAACAPwAAEEIAAGBCAABAQAAAOEIAAERCAACAPwAAwH8AAMB/AADAfwAA\\nEEIAAGBCAABAQAAAEEIAAIpCAABAQAAAEEIAAGBCAABAQM3MzD7NzMw+zczMPgAAgD8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AADhCAACKQgAAgD8AADhCAABEQgAA\\ngD8AADhCAACKQgAAgD8AAMB/AADAfwAAwH8AADhCAABEQgAAgD8AABBCAABgQgAAQEAAADhC\\nAABEQgAAgD8AAMB/AADAfwAAwH8AABBCAABgQgAAQEAAABBCAACKQgAAQEAAABBCAABgQgAA\\nQEAuRQEuMQEkOAMkRQOr0ki+AAAAAFYHe7+r0ki+AAAAAFYHe7+r0ki+AAAAAFYHe7+r0ki+\\nAAAAAFYHe78AAIA/AACAPwAAgD/JyMg9AAAkQgAAc0IAAABAAADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AACKQgAAyEEAAABBAABIQgAAyEEAAABBAACKQgAAyEEAAABB\\nAADAfwAAwH8AAMB/AABIQgAAyEEAAABBAAA0QgAAkEEAAFBBAABIQgAAyEEAAABBAADAfwAA\\nwH8AAMB/AAA0QgAAkEEAAFBBAACKQgAAkEEAAFBBAAA0QgAAkEEAAFBBzczMPs3MzD7NzMw+\\nAACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAikIAAMhBAAAAQQAA\\nSEIAAMhBAAAAQQAAikIAAMhBAAAAQQAAwH8AAMB/AADAfwAASEIAAMhBAAAAQQAANEIAAJBB\\nAABQQQAASEIAAMhBAAAAQQAAwH8AAMB/AADAfwAANEIAAJBBAABQQQAAikIAAJBBAABQQQAA\\nNEIAAJBBAABQQUUZCDIZCC0SDUUSDQAAAIAHzBQ/1lBQPwAAAIAHzBQ/1lBQPwAAAIAHzBQ/\\n1lBQPwAAAIAHzBQ/1lBQPwAAgD8AAIA/AACAP8nIyD0AAGlCAACsQQAAKEEAAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH/NzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAUVEAUUwCEUZCEUZJEUDAUVECEUZGUUIJEUDJEUDRUVEAUVEJEUDRUUBRUVEAUUwBUUeCEUZ\\nCEUZDEUUGUUIJEUDLkUBRUUBDEUUEkUOGUUIGUUIHUUGJEUDAP8AAP8AAP8AAP8AAP8AAP8A\\nAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8AAP8A\\nAP8AAP8AAP8AAP8AAP8AAP8AAACAPwAAgD8AAIA/ycjIPVZVVUAAAIpCAAA8QgAAcEEAAIpC\\nAAAAQgAAuEEAAIpCAABAQVZVDUIAAIpCVlU5QgAAaEIAAIpCAADAQVZVlUAAAIpCVlUJQgAA\\ncEEAAIpCVlWNQVZVSUIAAIpCVlXVP6uqkkEAAIpCAABgQQAA8EEAAIpCVlW1QAAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAWEIAAABAAAAoQgAATEIAAIA/AABIQgAA\\nWEIAAABAAAAoQgAAwH8AAMB/AADAfwAATEIAAIA/AABIQgAAIEIAAABAAAA0QgAATEIAAIA/\\nAABIQgAAwH8AAMB/AADAfwAAWEIAAABAAAAoQgAAIEIAAABAAAA0QgAAWEIAAABAAAAoQs3M\\nzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAFhC\\nAAAAQAAAKEIAAExCAACAPwAASEIAAFhCAAAAQAAAKEIAAMB/AADAfwAAwH8AAExCAACAPwAA\\nSEIAACBCAAAAQAAANEIAAExCAACAPwAASEIAAMB/AADAfwAAwH8AAFhCAAAAQAAAKEIAACBC\\nAAAAQAAANEIAAFhCAAAAQAAAKEI2AiozATIoAi0AAABcVOy82Y99v+HbCb5cVOy82Y99v+Hb\\nCb5cVOy82Y99v+HbCb4AAIA/AACAPwAAgD/JyMg9VlVBQlZV1T+rqjZCAADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AABYQgAAAEAAAChCAABAQgAAoEAAAPhBAABYQgAA\\nAEAAAChCAADAfwAAwH8AAMB/AABAQgAAoEAAAPhBAAAgQgAAAEAAADRCAABAQgAAoEAAAPhB\\nAADAfwAAwH8AAMB/AABYQgAAAEAAAChCAAAgQgAAAEAAADRCAABYQgAAAEAAAChCzczMPs3M\\nzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAWEIAAABA\\nAAAoQgAAQEIAAKBAAAD4QQAAWEIAAABAAAAoQgAAwH8AAMB/AADAfwAAQEIAAKBAAAD4QQAA\\nIEIAAABAAAA0QgAAQEIAAKBAAAD4QQAAwH8AAMB/AADAfwAAWEIAAABAAAAoQgAAIEIAAABA\\nAAA0QgAAWEIAAABAAAAoQjYCKjAFHygCLQAAAInwTz1OX3g/oJhyPonwTz1OX3g/oJhyPonw\\nTz1OX3g/oJhyPgAAgD8AAIA/AACAP8nIyD1WVT1CAABAQFZVHUIAAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAIpCAAAAQAAAKEIAAFhCAAAAQAAAKEIAAIpCAAAAQAAA\\nKEIAAMB/AADAfwAAwH8AAFhCAAAAQAAAKEIAAExCAACAPwAASEIAAFhCAAAAQAAAKEIAAMB/\\nAADAfwAAwH8AAExCAACAPwAASEIAAIpCAACAPwAASEIAAExCAACAPwAASELNzMw+zczMPs3M\\nzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACKQgAAAEAAAChC\\nAABYQgAAAEAAAChCAACKQgAAAEAAAChCAADAfwAAwH8AAMB/AABYQgAAAEAAAChCAABMQgAA\\ngD8AAEhCAABYQgAAAEAAAChCAADAfwAAwH8AAMB/AABMQgAAgD8AAEhCAACKQgAAgD8AAEhC\\nAABMQgAAgD8AAEhCRQIqNgIqMwEyRQEyAAAAgOwFfj/sBf49AAAAgOwFfj/sBf49AAAAgOwF\\nfj/sBf49AAAAgOwFfj/sBf49AACAPwAAgD8AAIA/ycjIPQAAc0IAAMA/AAA4QgAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA8EEAAKBAAAA4QgAAIEIAAABAAAA0QgAA\\n8EEAAKBAAAA4QgAAwH8AAMB/AADAfwAAIEIAAABAAAA0QgAAIEIAAABAAACIQgAAIEIAAABA\\nAAA0QgAAwH8AAMB/AADAfwAA8EEAAKBAAAA4QgAA8EEAAKBAAACIQgAA8EEAAKBAAAA4Qs3M\\nzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAPBB\\nAACgQAAAOEIAACBCAAAAQAAANEIAAPBBAACgQAAAOEIAAMB/AADAfwAAwH8AACBCAAAAQAAA\\nNEIAACBCAAAAQAAAiEIAACBCAAAAQAAANEIAAMB/AADAfwAAwH8AAPBBAACgQAAAOEIAAPBB\\nAACgQAAAiEIAAPBBAACgQAAAOEIeBS4oAi0oAkQeBURDH5O+GjR1vwAAAABDH5O+GjR1vwAA\\nAABDH5O+GjR1vwAAAABDH5O+GjR1vwAAAAAAAIA/AACAPwAAgD/JyMg9AAAMQgAAYEAAAGNC\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACKQgAAoEAAAPhBAABAQgAA\\noEAAAPhBAACKQgAAoEAAAPhBAADAfwAAwH8AAMB/AABAQgAAoEAAAPhBAABYQgAAAEAAAChC\\nAABAQgAAoEAAAPhBAADAfwAAwH8AAMB/AABYQgAAAEAAAChCAACKQgAAAEAAAChCAABYQgAA\\nAEAAAChCzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAikIAAKBAAAD4QQAAQEIAAKBAAAD4QQAAikIAAKBAAAD4QQAAwH8AAMB/AADAfwAA\\nQEIAAKBAAAD4QQAAWEIAAABAAAAoQgAAQEIAAKBAAAD4QQAAwH8AAMB/AADAfwAAWEIAAABA\\nAAAoQgAAikIAAABAAAAoQgAAWEIAAABAAAAoQkUFHzAFHzYCKkUCKgAAAIDD+nY/U7eGPgAA\\nAIDD+nY/U7eGPgAAAIDD+nY/U7eGPgAAAIDD+nY/U7eGPgAAgD8AAIA/AACAP8nIyD0AAHBC\\nAABgQAAAEkIAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AACBCAADgQAAA\\n6EEAADRCAABAQQAAmEEAACBCAADgQAAA6EEAAMB/AADAfwAAwH8AADRCAABAQQAAmEEAAEBC\\nAACgQAAA+EEAADRCAABAQQAAmEEAAMB/AADAfwAAwH8AACBCAADgQAAA6EEAAEBCAACgQAAA\\n+EEAACBCAADgQAAA6EHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AAAgQgAA4EAAAOhBAAA0QgAAQEEAAJhBAAAgQgAA4EAAAOhBAADAfwAA\\nwH8AAMB/AAA0QgAAQEEAAJhBAABAQgAAoEAAAPhBAAA0QgAAQEEAAJhBAADAfwAAwH8AAMB/\\nAAAgQgAA4EAAAOhBAABAQgAAoEAAAPhBAAAgQgAA4EAAAOhBKAcdLQwTMAUfAAAA1vzFvXC8\\nXr8LfPe+1vzFvXC8Xr8LfPe+1vzFvXC8Xr8LfPe+AACAPwAAgD8AAIA/ycjIPVZVMUIAAABB\\nq6rSQQAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwEAAAOhBAAA8QgAA\\nIEEAALhBAAA4QgAAwEAAAOhBAAA8QgAAwH8AAMB/AADAfwAAIEEAALhBAAA4QgAAIEEAALhB\\nAACIQgAAIEEAALhBAAA4QgAAwH8AAMB/AADAfwAAwEAAAOhBAAA8QgAAwEAAAOhBAACIQgAA\\nwEAAAOhBAAA8Qs3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMBAAADoQQAAPEIAACBBAAC4QQAAOEIAAMBAAADoQQAAPEIAAMB/AADAfwAA\\nwH8AACBBAAC4QQAAOEIAACBBAAC4QQAAiEIAACBBAAC4QQAAOEIAAMB/AADAfwAAwH8AAMBA\\nAADoQQAAPEIAAMBAAADoQQAAiEIAAMBAAADoQQAAPEIGHS8KFy4KF0QGHURAAVW/1QAOvwAA\\nAABAAVW/1QAOvwAAAABAAVW/1QAOvwAAAABAAVW/1QAOvwAAAAAAAIA/AACAPwAAgD/JyMg9\\nAAAAQQAA0EEAAGVCAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACAQQAA\\ncEEAAFhCAAAgQQAAuEEAADhCAACAQQAAcEEAAFhCAADAfwAAwH8AAMB/AAAgQQAAuEEAADhC\\nAACQQQAAcEEAABRCAAAgQQAAuEEAADhCAADAfwAAwH8AAMB/AACAQQAAcEEAAFhCAACQQQAA\\ncEEAABRCAACAQQAAcEEAAFhCzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAgEEAAHBBAABYQgAAIEEAALhBAAA4QgAAgEEAAHBBAABYQgAA\\nwH8AAMB/AADAfwAAIEEAALhBAAA4QgAAkEEAAHBBAAAUQgAAIEEAALhBAAA4QgAAwH8AAMB/\\nAADAfwAAgEEAAHBBAABYQgAAkEEAAHBBAAAUQgAAgEEAAHBBAABYQhAPNgoXLhIPJQAAAIaa\\nQL+pHCe/JEa1vYaaQL+pHCe/JEa1vYaaQL+pHCe/JEa1vQAAgD8AAIA/AACAP8nIyD2rqmpB\\nVlWNQauqNkIAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AACBBAAC4QQAA\\nOEIAAIBBAABwQQAAWEIAACBBAAC4QQAAOEIAAMB/AADAfwAAwH8AAIBBAABwQQAAWEIAAIBB\\nAABwQQAAiEIAAIBBAABwQQAAWEIAAMB/AADAfwAAwH8AACBBAAC4QQAAOEIAACBBAAC4QQAA\\niEIAACBBAAC4QQAAOELNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AAAgQQAAuEEAADhCAACAQQAAcEEAAFhCAAAgQQAAuEEAADhCAADAfwAA\\nwH8AAMB/AACAQQAAcEEAAFhCAACAQQAAcEEAAIhCAACAQQAAcEEAAFhCAADAfwAAwH8AAMB/\\nAAAgQQAAuEEAADhCAAAgQQAAuEEAAIhCAAAgQQAAuEEAADhCChcuEA82EA9EChdEzcxMv5qZ\\nGb8AAAAAzcxMv5qZGb8AAAAAzcxMv5qZGb8AAAAAzcxMv5qZGb8AAAAAAACAPwAAgD8AAIA/\\nycjIPQ0TOwAAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAFBBAACwQQAA\\nDEIAACBBAADIQQAAFEIAAFBBAACwQQAADEIAAMB/AADAfwAAwH8AACBBAADIQQAAFEIAAJBB\\nAABwQQAAFEIAACBBAADIQQAAFEIAAMB/AADAfwAAwH8AAFBBAACwQQAADEIAAJBBAABwQQAA\\nFEIAAFBBAACwQQAADELNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AABQQQAAsEEAAAxCAAAgQQAAyEEAABRCAABQQQAAsEEAAAxCAADAfwAA\\nwH8AAMB/AAAgQQAAyEEAABRCAACQQQAAcEEAABRCAAAgQQAAyEEAABRCAADAfwAAwH8AAMB/\\nAABQQQAAsEEAAAxCAACQQQAAcEEAABRCAABQQQAAsEEAAAxCDRYjChklEg8lAAAAGaJCP+G0\\nGz9Sj2k+GaJCP+G0Gz9Sj2k+GaJCP+G0Gz9Sj2k+AACAPwAAgD8AAIA/ycjIPauqWkFWVaVB\\nVlURQgAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAUEEAALBBAAAMQgAA\\nIEEAAMhBAAAUQgAAUEEAALBBAAAMQgAAwH8AAMB/AADAfwAAIEEAAMhBAAAUQgAAQEEAANBB\\nAAD4QQAAIEEAAMhBAAAUQgAAwH8AAMB/AADAfwAAUEEAALBBAAAMQgAAQEEAANBBAAD4QQAA\\nUEEAALBBAAAMQs3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAFBBAACwQQAADEIAACBBAADIQQAAFEIAAFBBAACwQQAADEIAAMB/AADAfwAA\\nwH8AACBBAADIQQAAFEIAAEBBAADQQQAA+EEAACBBAADIQQAAFEIAAMB/AADAfwAAwH8AAFBB\\nAACwQQAADEIAAEBBAADQQQAA+EEAAFBBAACwQQAADEINFiMKGSUMGh8AAAAPx0S/ir4Jv44Z\\nsb4Px0S/ir4Jv44Zsb4Px0S/ir4Jv44Zsb4AAIA/AACAPwAAgD/JyMg9q6o6QauqwkFWVQlC\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAAQQAA2EEAABxCAADgQAAA\\nFEIAAPBBAAAAQQAA2EEAABxCAADAfwAAwH8AAMB/AADgQAAAFEIAAPBBAABAQQAA0EEAAPhB\\nAADgQAAAFEIAAPBBAADAfwAAwH8AAMB/AAAAQQAA2EEAABxCAABAQQAA0EEAAPhBAAAAQQAA\\n2EEAABxCzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAAEEAANhBAAAcQgAA4EAAABRCAADwQQAAAEEAANhBAAAcQgAAwH8AAMB/AADAfwAA\\n4EAAABRCAADwQQAAQEEAANBBAAD4QQAA4EAAABRCAADwQQAAwH8AAMB/AADAfwAAAEEAANhB\\nAAAcQgAAQEEAANBBAAD4QQAAAEEAANhBAAAcQggbJwclHgwaHwAAABCZVb+sMtO+uzK7vhCZ\\nVb+sMtO+uzK7vhCZVb+sMtO+uzK7vgAAgD8AAIA/AACAP8nIyD0AABBBAADwQVZVBUIAAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAABBAADYQQAAHEIAACBBAADIQQAA\\nFEIAAABBAADYQQAAHEIAAMB/AADAfwAAwH8AACBBAADIQQAAFEIAAEBBAADQQQAA+EEAACBB\\nAADIQQAAFEIAAMB/AADAfwAAwH8AAABBAADYQQAAHEIAAEBBAADQQQAA+EEAAABBAADYQQAA\\nHELNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAAAAQQAA2EEAABxCAAAgQQAAyEEAABRCAAAAQQAA2EEAABxCAADAfwAAwH8AAMB/AAAgQQAA\\nyEEAABRCAABAQQAA0EEAAPhBAAAgQQAAyEEAABRCAADAfwAAwH8AAMB/AAAAQQAA2EEAABxC\\nAABAQQAA0EEAAPhBAAAAQQAA2EEAABxCCBsnChklDBofAAAA1lBQPz4T7j5ujrI+1lBQPz4T\\n7j5ujrI+1lBQPz4T7j5ujrI+AACAPwAAgD8AAIA/ycjIPQAAIEEAANBBq6oOQgAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAAEEAANhBAAAcQgAA4EAAABRCAADwQQAA\\nAEEAANhBAAAcQgAAwH8AAMB/AADAfwAA4EAAABRCAADwQQAAQEAAABRCAAAwQgAA4EAAABRC\\nAADwQQAAwH8AAMB/AADAfwAAAEEAANhBAAAcQgAAQEAAABRCAAAwQgAAAEEAANhBAAAcQs3M\\nzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAABB\\nAADYQQAAHEIAAOBAAAAUQgAA8EEAAABBAADYQQAAHEIAAMB/AADAfwAAwH8AAOBAAAAUQgAA\\n8EEAAEBAAAAUQgAAMEIAAOBAAAAUQgAA8EEAAMB/AADAfwAAwH8AAABBAADYQQAAHEIAAEBA\\nAAAUQgAAMEIAAABBAADYQQAAHEIIGycHJR4DJSwAAABKzmg/NUqmPioIhT5Kzmg/NUqmPioI\\nhT5Kzmg/NUqmPioIhT4AAIA/AACAPwAAgD/JyMg9AADAQKuqBkKrqhZCAADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAAQQAA2EEAABxCAADAQAAA6EEAADxCAAAAQQAA\\n2EEAABxCAADAfwAAwH8AAMB/AADAQAAA6EEAADxCAABAQAAAFEIAADBCAADAQAAA6EEAADxC\\nAADAfwAAwH8AAMB/AAAAQQAA2EEAABxCAABAQAAAFEIAADBCAAAAQQAA2EEAABxCzczMPs3M\\nzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAAEEAANhB\\nAAAcQgAAwEAAAOhBAAA8QgAAAEEAANhBAAAcQgAAwH8AAMB/AADAfwAAwEAAAOhBAAA8QgAA\\nQEAAABRCAAAwQgAAwEAAAOhBAAA8QgAAwH8AAMB/AADAfwAAAEEAANhBAAAcQgAAQEAAABRC\\nAAAwQgAAAEEAANhBAAAcQggbJwYdLwMlLAAAAGxMab9d+Me+PlAFvmxMab9d+Me+PlAFvmxM\\nab9d+Me+PlAFvgAAgD8AAIA/AACAP8nIyD1WVbVAAAD4QVZVLUIAAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAABBAADYQQAAHEIAAMBAAADoQQAAPEIAAABBAADYQQAA\\nHEIAAMB/AADAfwAAwH8AAMBAAADoQQAAPEIAACBBAAC4QQAAOEIAAMBAAADoQQAAPEIAAMB/\\nAADAfwAAwH8AAABBAADYQQAAHEIAACBBAAC4QQAAOEIAAABBAADYQQAAHELNzMw+zczMPs3M\\nzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAAQQAA2EEAABxC\\nAADAQAAA6EEAADxCAAAAQQAA2EEAABxCAADAfwAAwH8AAMB/AADAQAAA6EEAADxCAAAgQQAA\\nuEEAADhCAADAQAAA6EEAADxCAADAfwAAwH8AAMB/AAAAQQAA2EEAABxCAAAgQQAAuEEAADhC\\nAAAAQQAA2EEAABxCCBsnBh0vChcuAAAAn9xVP595Cz//xZQ9n9xVP595Cz//xZQ9n9xVP595\\nCz//xZQ9AACAPwAAgD8AAIA/ycjIPQAAAEGrqtJBAAAwQgAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAAEEAANhBAAAcQgAAIEEAALhBAAA4QgAAAEEAANhBAAAcQgAA\\nwH8AAMB/AADAfwAAIEEAALhBAAA4QgAAkEEAAHBBAAAUQgAAIEEAALhBAAA4QgAAwH8AAMB/\\nAADAfwAAAEEAANhBAAAcQgAAkEEAAHBBAAAUQgAAAEEAANhBAAAcQs3MzD7NzMw+zczMPgAA\\ngD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAABBAADYQQAAHEIAACBB\\nAAC4QQAAOEIAAABBAADYQQAAHEIAAMB/AADAfwAAwH8AACBBAAC4QQAAOEIAAJBBAABwQQAA\\nFEIAACBBAAC4QQAAOEIAAMB/AADAfwAAwH8AAABBAADYQQAAHEIAAJBBAABwQQAAFEIAAABB\\nAADYQQAAHEIIGycKFy4SDyUAAAD+q0U/Nv8eP8eCCT7+q0U/Nv8eP8eCCT7+q0U/Nv8eP8eC\\nCT4AAIA/AACAPwAAgD/JyMg9AABAQVZVrUGrqiJCAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AAAAQQAA2EEAABxCAAAgQQAAyEEAABRCAAAAQQAA2EEAABxCAADAfwAA\\nwH8AAMB/AAAgQQAAyEEAABRCAACQQQAAcEEAABRCAAAgQQAAyEEAABRCAADAfwAAwH8AAMB/\\nAAAAQQAA2EEAABxCAACQQQAAcEEAABRCAAAAQQAA2EEAABxCzczMPs3MzD7NzMw+AACAPwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAAEEAANhBAAAcQgAAIEEAAMhB\\nAAAUQgAAAEEAANhBAAAcQgAAwH8AAMB/AADAfwAAIEEAAMhBAAAUQgAAkEEAAHBBAAAUQgAA\\nIEEAAMhBAAAUQgAAwH8AAMB/AADAfwAAAEEAANhBAAAcQgAAkEEAAHBBAAAUQgAAAEEAANhB\\nAAAcQggbJwoZJRIPJQAAACCCRb+zAR6/swEeviCCRb+zAR6/swEeviCCRb+zAR6/swEevgAA\\ngD8AAIA/AACAP8nIyD0AAEBBq6qyQauqFkIAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAIBBAAD4QQAAqEEAAKhBAAAUQgAAUEEAAIBBAAD4QQAAqEEAAMB/AADAfwAA\\nwH8AAKhBAAAUQgAAUEEAAMhBAADgQQAAYEEAAKhBAAAUQgAAUEEAAMB/AADAfwAAwH8AAIBB\\nAAD4QQAAqEEAAMhBAADgQQAAYEEAAIBBAAD4QQAAqEHNzMw+zczMPs3MzD4AAIA/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACAQQAA+EEAAKhBAACoQQAAFEIAAFBB\\nAACAQQAA+EEAAKhBAADAfwAAwH8AAMB/AACoQQAAFEIAAFBBAADIQQAA4EEAAGBBAACoQQAA\\nFEIAAFBBAADAfwAAwH8AAMB/AACAQQAA+EEAAKhBAADIQQAA4EEAAGBBAACAQQAA+EEAAKhB\\nEB8VFSUNGRwOAAAAhP8kv3X/uL5/fyy/hP8kv3X/uL5/fyy/hP8kv3X/uL5/fyy/AACAPwAA\\ngD8AAIA/ycjIPVZVpUEAAABCAACAQQAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAgEEAAPhBAACoQQAAqEEAABRCAABQQQAAgEEAAPhBAACoQQAAwH8AAMB/AADAfwAA\\nqEEAABRCAABQQQAAYEEAABxCAACYQQAAqEEAABRCAABQQQAAwH8AAMB/AADAfwAAgEEAAPhB\\nAACoQQAAYEEAABxCAACYQQAAgEEAAPhBAACoQc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAIBBAAD4QQAAqEEAAKhBAAAUQgAAUEEAAIBB\\nAAD4QQAAqEEAAMB/AADAfwAAwH8AAKhBAAAUQgAAUEEAAGBBAAAcQgAAmEEAAKhBAAAUQgAA\\nUEEAAMB/AADAfwAAwH8AAIBBAAD4QQAAqEEAAGBBAAAcQgAAmEEAAIBBAAD4QQAAqEEQHxUV\\nJQ0OJxMAAACrqio/q6qqPquqKj+rqio/q6qqPquqKj+rqio/q6qqPquqKj8AAIA/AACAPwAA\\ngD/JyMg9AACIQauqDkJWVY1BAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAAAEQgAA4EEAACBBAAAAQgAA+EEAABBBAAAEQgAA4EEAACBBAADAfwAAwH8AAMB/AAAAQgAA\\n+EEAABBBAADIQQAA4EEAAGBBAAAAQgAA+EEAABBBAADAfwAAwH8AAMB/AAAEQgAA4EEAACBB\\nAADIQQAA4EEAAGBBAAAEQgAA4EEAACBBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAABEIAAOBBAAAgQQAAAEIAAPhBAAAQQQAABEIAAOBB\\nAAAgQQAAwH8AAMB/AADAfwAAAEIAAPhBAAAQQQAAyEEAAOBBAABgQQAAAEIAAPhBAAAQQQAA\\nwH8AAMB/AADAfwAABEIAAOBBAAAgQQAAyEEAAOBBAABgQQAABEIAAOBBAAAgQSEcCiAfCRkc\\nDgAAAOwF0T7sBdE+7AVRP+wF0T7sBdE+7AVRP+wF0T7sBdE+7AVRPwAAgD8AAIA/AACAP8nI\\nyD0eHQsAAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAEQgAA4EEAACBB\\nAAAAQgAA+EEAABBBAAAEQgAA4EEAACBBAADAfwAAwH8AAMB/AAAAQgAA+EEAABBBAAAkQgAA\\n8EEAAMBAAAAAQgAA+EEAABBBAADAfwAAwH8AAMB/AAAEQgAA4EEAACBBAAAkQgAA8EEAAMBA\\nAAAEQgAA4EEAACBBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAABEIAAOBBAAAgQQAAAEIAAPhBAAAQQQAABEIAAOBBAAAgQQAAwH8AAMB/\\nAADAfwAAAEIAAPhBAAAQQQAAJEIAAPBBAADAQAAAAEIAAPhBAAAQQQAAwH8AAMB/AADAfwAA\\nBEIAAOBBAAAgQQAAJEIAAPBBAADAQAAABEIAAOBBAAAgQSEcCiAfCSkeBgAAACnNqL7Kj8q+\\nG3FbvynNqL7Kj8q+G3FbvynNqL7Kj8q+G3FbvwAAgD8AAIA/AACAP8nIyD1WVQ1CVlXtQVZV\\nBUEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAARCAADgQQAAIEEAACRC\\nAADwQQAAwEAAAARCAADgQQAAIEEAAMB/AADAfwAAwH8AACRCAADwQQAAwEAAADRCAACQQQAA\\nUEEAACRCAADwQQAAwEAAAMB/AADAfwAAwH8AAARCAADgQQAAIEEAADRCAACQQQAAUEEAAARC\\nAADgQQAAIEHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AAAEQgAA4EEAACBBAAAkQgAA8EEAAMBAAAAEQgAA4EEAACBBAADAfwAAwH8AAMB/\\nAAAkQgAA8EEAAMBAAAA0QgAAkEEAAFBBAAAkQgAA8EEAAMBAAADAfwAAwH8AAMB/AAAEQgAA\\n4EEAACBBAAA0QgAAkEEAAFBBAAAEQgAA4EEAACBBIRwKKR4GLRINAAAApeeEvgm5DL8qREu/\\npeeEvgm5DL8qREu/peeEvgm5DL8qREu/AACAPwAAgD8AAIA/ycjIPauqHkKrqspBq6oaQQAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAREIAADxCAACAPwAAOEIAAERC\\nAACAPwAAREIAADxCAACAPwAAwH8AAMB/AADAfwAAOEIAAERCAACAPwAAOEIAACBCAAAAQAAA\\nOEIAAERCAACAPwAAwH8AAMB/AADAfwAAREIAADxCAACAPwAAOEIAACBCAAAAQAAAREIAADxC\\nAACAP83MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAERCAAA8QgAAgD8AADhCAABEQgAAgD8AAERCAAA8QgAAgD8AAMB/AADAfwAAwH8AADhC\\nAABEQgAAgD8AADhCAAAgQgAAAEAAADhCAABEQgAAgD8AAMB/AADAfwAAwH8AAERCAAA8QgAA\\ngD8AADhCAAAgQgAAAEAAAERCAAA8QgAAgD8xLwEuMQEuKAIAAABvXpY9po3hPVu/fT9vXpY9\\npo3hPVu/fT9vXpY9po3hPVu/fT8AAIA/AACAPwAAgD/JyMg9AAA8QlZVNUKrqqo/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACKQgAAPEIAAIA/AABEQgAAPEIAAIA/\\nAACKQgAAPEIAAIA/AADAfwAAwH8AAMB/AABEQgAAPEIAAIA/AAA4QgAAREIAAIA/AABEQgAA\\nPEIAAIA/AADAfwAAwH8AAMB/AAA4QgAAREIAAIA/AAA4QgAAikIAAIA/AAA4QgAAREIAAIA/\\nzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nikIAADxCAACAPwAAREIAADxCAACAPwAAikIAADxCAACAPwAAwH8AAMB/AADAfwAAREIAADxC\\nAACAPwAAOEIAAERCAACAPwAAREIAADxCAACAPwAAwH8AAMB/AADAfwAAOEIAAERCAACAPwAA\\nOEIAAIpCAACAPwAAOEIAAERCAACAPy4xATEvAUUvAUUvAS5FAS4xAUUvAUVFAS5FAQAAAAAA\\nAAAAgAAAgD8AAAAAAAAAgAAAgD8AAAAAAAAAgAAAgD8AAAAAAAAAAP//fz8AAAAAAAAAAP//\\nfz8AAAAAAAAAAP//fz8AAAAAAAAAAAAAgD8AAAAAAAAAAAAAgD8AAAAAAAAAAAAAgD8AAIA/\\nAACAPwAAgD/JyMg9q6paQquqPkIAAIA/q6pWQgAAXEIAAIA/VlV1QquqdkIAAIA/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACKQgAAPEIAAIA/AABEQgAAPEIAAIA/\\nAACKQgAAPEIAAIA/AADAfwAAwH8AAMB/AABEQgAAPEIAAIA/AAA4QgAAIEIAAABAAABEQgAA\\nPEIAAIA/AADAfwAAwH8AAMB/AAA4QgAAIEIAAABAAACKQgAAIEIAAABAAAA4QgAAIEIAAABA\\nzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nikIAADxCAACAPwAAREIAADxCAACAPwAAikIAADxCAACAPwAAwH8AAMB/AADAfwAAREIAADxC\\nAACAPwAAOEIAACBCAAAAQAAAREIAADxCAACAPwAAwH8AAMB/AADAfwAAOEIAACBCAAAAQAAA\\nikIAACBCAAAAQAAAOEIAACBCAAAAQEUvATEvAS4oAkUoAgAAAIDD0BA+VW19PwAAAIDD0BA+\\nVW19PwAAAIDD0BA+VW19PwAAAIDD0BA+VW19PwAAgD8AAIA/AACAP8nIyD0AAGlCAAAuQgAA\\nwD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAOhBAAA8QgAAwEAAABBC\\nAABgQgAAQEAAAOhBAAA8QgAAwEAAAMB/AADAfwAAwH8AABBCAABgQgAAQEAAAAhCAAAcQgAA\\noEAAABBCAABgQgAAQEAAAMB/AADAfwAAwH8AAOhBAAA8QgAAwEAAAAhCAAAcQgAAoEAAAOhB\\nAAA8QgAAwEDNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADoQQAAPEIAAMBAAAAQQgAAYEIAAEBAAADoQQAAPEIAAMBAAADAfwAAwH8AAMB/\\nAAAQQgAAYEIAAEBAAAAIQgAAHEIAAKBAAAAQQgAAYEIAAEBAAADAfwAAwH8AAMB/AADoQQAA\\nPEIAAMBAAAAIQgAAHEIAAKBAAADoQQAAPEIAAMBAHS8GJDgDIicFAAAA1pCevsDCmb1Xp3K/\\n1pCevsDCmb1Xp3K/1pCevsDCmb1Xp3K/AACAPwAAgD8AAIA/ycjIPQAABEJWVT1CVlWVQAAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA6EEAADxCAADAQAAAyEEAADRC\\nAAAAQQAA6EEAADxCAADAQAAAwH8AAMB/AADAfwAAyEEAADRCAAAAQQAACEIAABxCAACgQAAA\\nyEEAADRCAAAAQQAAwH8AAMB/AADAfwAA6EEAADxCAADAQAAACEIAABxCAACgQAAA6EEAADxC\\nAADAQM3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAOhBAAA8QgAAwEAAAMhBAAA0QgAAAEEAAOhBAAA8QgAAwEAAAMB/AADAfwAAwH8AAMhB\\nAAA0QgAAAEEAAAhCAAAcQgAAoEAAAMhBAAA0QgAAAEEAAMB/AADAfwAAwH8AAOhBAAA8QgAA\\nwEAAAAhCAAAcQgAAoEAAAOhBAAA8QgAAwEAdLwYZLQgiJwUAAABc+Mc+PlAFPmxMaT9c+Mc+\\nPlAFPmxMaT9c+Mc+PlAFPmxMaT8AAIA/AACAPwAAgD/JyMg9q6rqQauqLkKrqspAAADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAQQgAAikIAAEBAAAAQQgAAYEIAAEBA\\nAAAQQgAAikIAAEBAAADAfwAAwH8AAMB/AAAQQgAAYEIAAEBAAADoQQAAPEIAAMBAAAAQQgAA\\nYEIAAEBAAADAfwAAwH8AAMB/AADoQQAAPEIAAMBAAADoQQAAikIAAMBAAADoQQAAPEIAAMBA\\nzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nEEIAAIpCAABAQAAAEEIAAGBCAABAQAAAEEIAAIpCAABAQAAAwH8AAMB/AADAfwAAEEIAAGBC\\nAABAQAAA6EEAADxCAADAQAAAEEIAAGBCAABAQAAAwH8AAMB/AADAfwAA6EEAADxCAADAQAAA\\n6EEAAIpCAADAQAAA6EEAADxCAADAQCRFAyQ4Ax0vBh1FBsuvyb4AAAAAF01rv8uvyb4AAAAA\\nF01rv8uvyb4AAAAAF01rv8uvyb4AAAAAF01rvwAAgD8AAIA/AACAP8nIyD0AAAJCAABxQgAA\\nkEAAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAOhBAACKQgAAwEAAAOhB\\nAAA8QgAAwEAAAOhBAACKQgAAwEAAAMB/AADAfwAAwH8AAOhBAAA8QgAAwEAAAMhBAAA0QgAA\\nAEEAAOhBAAA8QgAAwEAAAMB/AADAfwAAwH8AAMhBAAA0QgAAAEEAAMhBAACKQgAAAEEAAMhB\\nAAA0QgAAAEHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADoQQAAikIAAMBAAADoQQAAPEIAAMBAAADoQQAAikIAAMBAAADAfwAAwH8AAMB/\\nAADoQQAAPEIAAMBAAADIQQAANEIAAABBAADoQQAAPEIAAMBAAADAfwAAwH8AAMB/AADIQQAA\\nNEIAAABBAADIQQAAikIAAABBAADIQQAANEIAAABBHUUGHS8GGS0IGUUILvnkvgAAAAAu+WS/\\nLvnkvgAAAAAu+WS/LvnkvgAAAAAu+WS/LvnkvgAAAAAu+WS/AACAPwAAgD8AAIA/ycjIPQAA\\n2EEAAGZCAADgQAAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAikIAAIA/\\nAABIQgAATEIAAIA/AABIQgAAikIAAIA/AABIQgAAwH8AAMB/AADAfwAATEIAAIA/AABIQgAA\\nTEIAAIA/AACIQgAATEIAAIA/AABIQs3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAIpCAACAPwAASEIAAExCAACAPwAASEIAAIpCAACAPwAA\\nSEIAAMB/AADAfwAAwH8AAExCAACAPwAASEIAAExCAACAPwAAiEIAAExCAACAPwAASEJFATIz\\nATIzAURFAUQAAQAAAQAAAQAAAQAAAIA/AACAPwAAgD/JyMg9PAE7AAAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAIEIAAABAAAA0QgAATEIAAIA/AABIQgAAIEIAAABA\\nAAA0QgAAwH8AAMB/AADAfwAATEIAAIA/AABIQgAATEIAAIA/AACIQgAATEIAAIA/AABIQgAA\\nwH8AAMB/AADAfwAAIEIAAABAAAA0QgAAIEIAAABAAACIQgAAIEIAAABAAAA0Qs3MzD7NzMw+\\nzczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AACBCAAAAQAAA\\nNEIAAExCAACAPwAASEIAACBCAAAAQAAANEIAAMB/AADAfwAAwH8AAExCAACAPwAASEIAAExC\\nAACAPwAAiEIAAExCAACAPwAASEIAAMB/AADAfwAAwH8AACBCAAAAQAAANEIAACBCAAAAQAAA\\niEIAACBCAAAAQAAANEIoAi0zATIzAUQoAkTOarm92/J+vwAAAADOarm92/J+vwAAAADOarm9\\n2/J+vwAAAADOarm92/J+vwAAAAAAAIA/AACAPwAAgD/JyMg9AAA2QgAAwD8AAGdCAADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACKQgAAkEEAAFBBAAA0QgAAkEEAAFBB\\nAACKQgAAkEEAAFBBAADAfwAAwH8AAMB/AAA0QgAAkEEAAFBBAAA0QgAAQEEAAJhBAAA0QgAA\\nkEEAAFBBAADAfwAAwH8AAMB/AAA0QgAAQEEAAJhBAACKQgAAQEEAAJhBAAA0QgAAQEEAAJhB\\nzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nikIAAJBBAABQQQAANEIAAJBBAABQQQAAikIAAJBBAABQQQAAwH8AAMB/AADAfwAANEIAAJBB\\nAABQQQAANEIAAEBBAACYQQAANEIAAJBBAABQQQAAwH8AAMB/AADAfwAANEIAAEBBAACYQQAA\\nikIAAEBBAACYQQAANEIAAEBBAACYQUUSDS0SDS0ME0UMEwAAAIDyBDU/8gQ1PwAAAIDyBDU/\\n8gQ1PwAAAIDyBDU/8gQ1PwAAAIDyBDU/8gQ1PwAAgD8AAIA/AACAP8nIyD05DxAAAADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAYQgAAQEAAAChCAADwQQAAoEAAADhC\\nAAAYQgAAQEAAAChCAADAfwAAwH8AAMB/AADwQQAAoEAAADhCAAAgQgAAAEAAADRCAADwQQAA\\noEAAADhCAADAfwAAwH8AAMB/AAAYQgAAQEAAAChCAAAgQgAAAEAAADRCAAAYQgAAQEAAAChC\\nzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nGEIAAEBAAAAoQgAA8EEAAKBAAAA4QgAAGEIAAEBAAAAoQgAAwH8AAMB/AADAfwAA8EEAAKBA\\nAAA4QgAAIEIAAABAAAA0QgAA8EEAAKBAAAA4QgAAwH8AAMB/AADAfwAAGEIAAEBAAAAoQgAA\\nIEIAAABAAAA0QgAAGEIAAEBAAAAoQiYDKh4FLigCLQAAAC2klz5IoHI/SKDyPS2klz5IoHI/\\nSKDyPS2klz5IoHI/SKDyPQAAgD8AAIA/AACAP8nIyD0AABBCVlVVQFZVMUIAAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AABhCAABAQAAAKEIAAEBCAACgQAAA+EEAABhC\\nAABAQAAAKEIAAMB/AADAfwAAwH8AAEBCAACgQAAA+EEAACBCAAAAQAAANEIAAEBCAACgQAAA\\n+EEAAMB/AADAfwAAwH8AABhCAABAQAAAKEIAACBCAAAAQAAANEIAABhCAABAQAAAKELNzMw+\\nzczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAYQgAA\\nQEAAAChCAABAQgAAoEAAAPhBAAAYQgAAQEAAAChCAADAfwAAwH8AAMB/AABAQgAAoEAAAPhB\\nAAAgQgAAAEAAADRCAABAQgAAoEAAAPhBAADAfwAAwH8AAMB/AAAYQgAAQEAAAChCAAAgQgAA\\nAEAAADRCAAAYQgAAQEAAAChCJgMqMAUfKAItAAAAcFa9vZIjdr9PiYS+cFa9vZIjdr9PiYS+\\ncFa9vZIjdr9PiYS+AACAPwAAgD8AAIA/ycjIPQAAKEJWVVVAVlUdQgAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAGEIAAEBAAAAoQgAAIEIAAOBAAADoQQAAGEIAAEBA\\nAAAoQgAAwH8AAMB/AADAfwAAIEIAAOBAAADoQQAAQEIAAKBAAAD4QQAAIEIAAOBAAADoQQAA\\nwH8AAMB/AADAfwAAGEIAAEBAAAAoQgAAQEIAAKBAAAD4QQAAGEIAAEBAAAAoQs3MzD7NzMw+\\nzczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AABhCAABAQAAA\\nKEIAACBCAADgQAAA6EEAABhCAABAQAAAKEIAAMB/AADAfwAAwH8AACBCAADgQAAA6EEAAEBC\\nAACgQAAA+EEAACBCAADgQAAA6EEAAMB/AADAfwAAwH8AABhCAABAQAAAKEIAAEBCAACgQAAA\\n+EEAABhCAABAQAAAKEImAyooBx0wBR8AAAAE7B++BuJvvwTsn74E7B++BuJvvwTsn74E7B++\\nBuJvvwTsn74AAIA/AACAPwAAgD/JyMg9KgUiAAAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAUEEAAAhCAAC4QQAAMEEAABxCAAC4QQAAUEEAAAhCAAC4QQAAwH8AAMB/\\nAADAfwAAMEEAABxCAAC4QQAAYEEAABxCAACYQQAAMEEAABxCAAC4QQAAwH8AAMB/AADAfwAA\\nUEEAAAhCAAC4QQAAYEEAABxCAACYQQAAUEEAAAhCAAC4Qc3MzD7NzMw+zczMPgAAgD8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAFBBAAAIQgAAuEEAADBBAAAcQgAA\\nuEEAAFBBAAAIQgAAuEEAAMB/AADAfwAAwH8AADBBAAAcQgAAuEEAAGBBAAAcQgAAmEEAADBB\\nAAAcQgAAuEEAAMB/AADAfwAAwH8AAFBBAAAIQgAAuEEAAGBBAAAcQgAAmEEAAFBBAAAIQgAA\\nuEENIhcLJxcOJxMAAAB0DkO/kAucvtdKEr90DkO/kAucvtdKEr90DkO/kAucvtdKEr8AAIA/\\nAACAPwAAgD/JyMg9q6pKQVZVFUJWVa1BAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAMB/AABQQQAACEIAALhBAACAQQAA+EEAAKhBAABQQQAACEIAALhBAADAfwAAwH8AAMB/\\nAACAQQAA+EEAAKhBAABgQQAAHEIAAJhBAACAQQAA+EEAAKhBAADAfwAAwH8AAMB/AABQQQAA\\nCEIAALhBAABgQQAAHEIAAJhBAABQQQAACEIAALhBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAUEEAAAhCAAC4QQAAgEEAAPhBAACoQQAA\\nUEEAAAhCAAC4QQAAwH8AAMB/AADAfwAAgEEAAPhBAACoQQAAYEEAABxCAACYQQAAgEEAAPhB\\nAACoQQAAwH8AAMB/AADAfwAAUEEAAAhCAAC4QQAAYEEAABxCAACYQQAAUEEAAAhCAAC4QQ0i\\nFxAfFQ4nEwAAAI3nOj/G6ak+/+sYP43nOj/G6ak+/+sYP43nOj/G6ak+/+sYPwAAgD8AAIA/\\nAACAP8nIyD1WVWVBq6oKQgAAqEEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nwH8AAFBBAAAIQgAAuEEAADBBAAAcQgAAuEEAAFBBAAAIQgAAuEEAAMB/AADAfwAAwH8AADBB\\nAAAcQgAAuEEAAOBAAAAUQgAA8EEAADBBAAAcQgAAuEEAAMB/AADAfwAAwH8AAFBBAAAIQgAA\\nuEEAAOBAAAAUQgAA8EEAAFBBAAAIQgAAuEHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AABQQQAACEIAALhBAAAwQQAAHEIAALhBAABQQQAA\\nCEIAALhBAADAfwAAwH8AAMB/AAAwQQAAHEIAALhBAADgQAAAFEIAAPBBAAAwQQAAHEIAALhB\\nAADAfwAAwH8AAMB/AABQQQAACEIAALhBAADgQAAAFEIAAPBBAABQQQAACEIAALhBDSIXCycX\\nByUeAAAAi4BIP9ZmoD63fAk/i4BIP9ZmoD63fAk/i4BIP9ZmoD63fAk/AACAPwAAgD8AAIA/\\nycjIPVZVJUGrqhJCq6rKQQAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nUEEAAAhCAAC4QQAA4EAAABRCAADwQQAAUEEAAAhCAAC4QQAAwH8AAMB/AADAfwAA4EAAABRC\\nAADwQQAAQEEAANBBAAD4QQAA4EAAABRCAADwQQAAwH8AAMB/AADAfwAAUEEAAAhCAAC4QQAA\\nQEEAANBBAAD4QQAAUEEAAAhCAAC4Qc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAFBBAAAIQgAAuEEAAOBAAAAUQgAA8EEAAFBBAAAIQgAA\\nuEEAAMB/AADAfwAAwH8AAOBAAAAUQgAA8EEAAEBBAADQQQAA+EEAAOBAAAAUQgAA8EEAAMB/\\nAADAfwAAwH8AAFBBAAAIQgAAuEEAAEBBAADQQQAA+EEAAFBBAAAIQgAAuEENIhcHJR4MGh8A\\nAACFJ0Y/tRvLPpal/D6FJ0Y/tRvLPpal/D6FJ0Y/tRvLPpal/D4AAIA/AACAPwAAgD/JyMg9\\nq6oqQVZVAUIAAOBBAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AABQQQAA\\nCEIAALhBAACAQQAA+EEAAKhBAABQQQAACEIAALhBAADAfwAAwH8AAMB/AACAQQAA+EEAAKhB\\nAABAQQAA0EEAAPhBAACAQQAA+EEAAKhBAADAfwAAwH8AAMB/AABQQQAACEIAALhBAABAQQAA\\n0EEAAPhBAABQQQAACEIAALhBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAUEEAAAhCAAC4QQAAgEEAAPhBAACoQQAAUEEAAAhCAAC4QQAA\\nwH8AAMB/AADAfwAAgEEAAPhBAACoQQAAQEEAANBBAAD4QQAAgEEAAPhBAACoQQAAwH8AAMB/\\nAADAfwAAUEEAAAhCAAC4QQAAQEEAANBBAAD4QQAAUEEAAAhCAAC4QQ0iFxAfFQwaHwAAAPQR\\nQb+MYNS+hVICv/QRQb+MYNS+hVICv/QRQb+MYNS+hVICvwAAgD8AAIA/AACAP8nIyD2rqlpB\\nq6ryQQAAyEEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAJhBAACwQQAA\\nwEEAAIBBAAD4QQAAqEEAAJhBAACwQQAAwEEAAMB/AADAfwAAwH8AAIBBAAD4QQAAqEEAAEBB\\nAADQQQAA+EEAAIBBAAD4QQAAqEEAAMB/AADAfwAAwH8AAJhBAACwQQAAwEEAAEBBAADQQQAA\\n+EEAAJhBAACwQQAAwEHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AACYQQAAsEEAAMBBAACAQQAA+EEAAKhBAACYQQAAsEEAAMBBAADAfwAA\\nwH8AAMB/AACAQQAA+EEAAKhBAABAQQAA0EEAAPhBAACAQQAA+EEAAKhBAADAfwAAwH8AAMB/\\nAACYQQAAsEEAAMBBAABAQQAA0EEAAPhBAACYQQAAsEEAAMBBExYYEB8VDBofAAAAmBhAP8kl\\n1z4WoAI/mBhAP8kl1z4WoAI/mBhAP8kl1z4WoAI/AACAPwAAgD8AAIA/ycjIPauqekGrqtJB\\nq6rKQQAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAmEEAALBBAADAQQAA\\nUEEAALBBAAAMQgAAmEEAALBBAADAQQAAwH8AAMB/AADAfwAAUEEAALBBAAAMQgAAQEEAANBB\\nAAD4QQAAUEEAALBBAAAMQgAAwH8AAMB/AADAfwAAmEEAALBBAADAQQAAQEEAANBBAAD4QQAA\\nmEEAALBBAADAQc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAJhBAACwQQAAwEEAAFBBAACwQQAADEIAAJhBAACwQQAAwEEAAMB/AADAfwAA\\nwH8AAFBBAACwQQAADEIAAEBBAADQQQAA+EEAAFBBAACwQQAADEIAAMB/AADAfwAAwH8AAJhB\\nAACwQQAAwEEAAEBBAADQQQAA+EEAAJhBAACwQQAAwEETFhgNFiMMGh8AAACQQji/CpISv8wC\\nyb6QQji/CpISv8wCyb6QQji/CpISv8wCyb4AAIA/AACAPwAAgD/JyMg9q6pqQauqukEAAPBB\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACYQQAAsEEAAMBBAABQQQAA\\nsEEAAAxCAACYQQAAsEEAAMBBAADAfwAAwH8AAMB/AABQQQAAsEEAAAxCAACQQQAAcEEAABRC\\nAABQQQAAsEEAAAxCAADAfwAAwH8AAMB/AACYQQAAsEEAAMBBAACQQQAAcEEAABRCAACYQQAA\\nsEEAAMBBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAmEEAALBBAADAQQAAUEEAALBBAAAMQgAAmEEAALBBAADAQQAAwH8AAMB/AADAfwAA\\nUEEAALBBAAAMQgAAkEEAAHBBAAAUQgAAUEEAALBBAAAMQgAAwH8AAMB/AADAfwAAmEEAALBB\\nAADAQQAAkEEAAHBBAAAUQgAAmEEAALBBAADAQRMWGA0WIxIPJQAAAIqYMj/PZhs/9NTCPoqY\\nMj/PZhs/9NTCPoqYMj/PZhs/9NTCPgAAgD8AAIA/AACAP8nIyD1WVYVBVlWdQQAAAEIAAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAEBCAAAEQgAAgEAAACRCAADwQQAA\\nwEAAAEBCAAAEQgAAgEAAAMB/AADAfwAAwH8AACRCAADwQQAAwEAAADhCAAAgQgAAAEAAACRC\\nAADwQQAAwEAAAMB/AADAfwAAwH8AAEBCAAAEQgAAgEAAADhCAAAgQgAAAEAAAEBCAAAEQgAA\\ngEDNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAABAQgAABEIAAIBAAAAkQgAA8EEAAMBAAABAQgAABEIAAIBAAADAfwAAwH8AAMB/AAAkQgAA\\n8EEAAMBAAAA4QgAAIEIAAABAAAAkQgAA8EEAAMBAAADAfwAAwH8AAMB/AABAQgAABEIAAIBA\\nAAA4QgAAIEIAAABAAABAQgAABEIAAIBAMCEEKR4GLigCAAAATDkMvnbAnb57AnG/TDkMvnbA\\nnb57AnG/TDkMvnbAnb57AnG/AACAPwAAgD8AAIA/ycjIPQAANEJWVQlCAACAQAAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAASEIAABBBAADAQQAANEIAAEBBAACYQQAA\\nSEIAABBBAADAQQAAwH8AAMB/AADAfwAANEIAAEBBAACYQQAAQEIAAKBAAAD4QQAANEIAAEBB\\nAACYQQAAwH8AAMB/AADAfwAASEIAABBBAADAQQAAQEIAAKBAAAD4QQAASEIAABBBAADAQc3M\\nzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAEhC\\nAAAQQQAAwEEAADRCAABAQQAAmEEAAEhCAAAQQQAAwEEAAMB/AADAfwAAwH8AADRCAABAQQAA\\nmEEAAEBCAACgQAAA+EEAADRCAABAQQAAmEEAAMB/AADAfwAAwH8AAEhCAAAQQQAAwEEAAEBC\\nAACgQAAA+EEAAEhCAAAQQQAAwEEyCRgtDBMwBR8AAADFmJ081Z5dPyAMAD/FmJ081Z5dPyAM\\nAD/FmJ081Z5dPyAMAD8AAIA/AACAPwAAgD/JyMg9q6o+QquqCkFWVcVBAADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAcQgAAQEEAAKhBAAAgQgAA4EAAAOhBAAAcQgAA\\nQEEAAKhBAADAfwAAwH8AAMB/AAAgQgAA4EAAAOhBAAA0QgAAQEEAAJhBAAAgQgAA4EAAAOhB\\nAADAfwAAwH8AAMB/AAAcQgAAQEEAAKhBAAA0QgAAQEEAAJhBAAAcQgAAQEEAAKhBzczMPs3M\\nzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAHEIAAEBB\\nAACoQQAAIEIAAOBAAADoQQAAHEIAAEBBAACoQQAAwH8AAMB/AADAfwAAIEIAAOBAAADoQQAA\\nNEIAAEBBAACYQQAAIEIAAOBAAADoQQAAwH8AAMB/AADAfwAAHEIAAEBBAACoQQAANEIAAEBB\\nAACYQQAAHEIAAEBBAACoQScMFSgHHS0MEwAAAG0WLT4IXFg/0tABP20WLT4IXFg/0tABP20W\\nLT4IXFg/0tABPwAAgD8AAIA/AACAP8nIyD1WVSVCVlUlQQAAuEEAAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMhBAAAwQQAACEIAAJhBAACwQQAAwEEAAMhBAAAwQQAA\\nCEIAAMB/AADAfwAAwH8AAJhBAACwQQAAwEEAAJBBAABwQQAAFEIAAJhBAACwQQAAwEEAAMB/\\nAADAfwAAwH8AAMhBAAAwQQAACEIAAJBBAABwQQAAFEIAAMhBAAAwQQAACELNzMw+zczMPs3M\\nzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADIQQAAMEEAAAhC\\nAACYQQAAsEEAAMBBAADIQQAAMEEAAAhCAADAfwAAwH8AAMB/AACYQQAAsEEAAMBBAACQQQAA\\ncEEAABRCAACYQQAAsEEAAMBBAADAfwAAwH8AAMB/AADIQQAAMEEAAAhCAACQQQAAcEEAABRC\\nAADIQQAAMEEAAAhCGQsiExYYEg8lAAAAGUoUP4jCMj8MU9c+GUoUP4jCMj8MU9c+GUoUP4jC\\nMj8MU9c+AACAPwAAgD8AAIA/ycjIPVZVpUEAAIBBVlX9QQAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAyEEAADBBAAAIQgAAGEIAAEBAAAAoQgAAyEEAADBBAAAIQgAA\\nwH8AAMB/AADAfwAAGEIAAEBAAAAoQgAA8EEAAKBAAAA4QgAAGEIAAEBAAAAoQgAAwH8AAMB/\\nAADAfwAAyEEAADBBAAAIQgAA8EEAAKBAAAA4QgAAyEEAADBBAAAIQs3MzD7NzMw+zczMPgAA\\ngD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMhBAAAwQQAACEIAABhC\\nAABAQAAAKEIAAMhBAAAwQQAACEIAAMB/AADAfwAAwH8AABhCAABAQAAAKEIAAPBBAACgQAAA\\nOEIAABhCAABAQAAAKEIAAMB/AADAfwAAwH8AAMhBAAAwQQAACEIAAPBBAACgQAAAOEIAAMhB\\nAAAwQQAACEIZCyImAyoeBS4AAABUXru+UGdiv1dVlL5UXru+UGdiv1dVlL5UXru+UGdiv1dV\\nlL4AAIA/AACAPwAAgD/JyMg9AAD4QauqykCrqiJCAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwYdRAoXRBwGRBwGREVF\\nRAYdREVFRAEvRAYdRAEvRAQiRAYdRAoXRBAPRBwGRBwGRDMBREVFRBwGRB4FRDMBRDMBREUB\\nREVFRAEvRAMlRAQiREVFRAFFRAEvRB4FRCgCRDMBRBAPRBcJRBwGRAEvRAIpRAMlRAAAAQAA\\nAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAA\\nAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAAAQAA\\nAQAAAQAAAACAPwAAgD8AAIA/ycjIPauqakGrqppBAACIQlZVCUKrqgpCAACIQquqykFWVUFC\\nAACIQquqakCrqhJCAACIQgAAkEGrqmpBAACIQlZVRUKrqspBAACIQlZVEUIAAIBAAACIQgAA\\nfEJWVb1BAACIQquqKkBWVR1CAACIQlZVvUGrqnZCAACIQlZVIUKrqipAAACIQquqskEAACBB\\nAACIQgAAAECrqiZCAACIQgAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\nuEEAABBBAAA8QgAAyEEAADBBAAAIQgAAuEEAABBBAAA8QgAAwH8AAMB/AADAfwAAyEEAADBB\\nAAAIQgAAkEEAAHBBAAAUQgAAyEEAADBBAAAIQgAAwH8AAMB/AADAfwAAuEEAABBBAAA8QgAA\\nkEEAAHBBAAAUQgAAuEEAABBBAAA8Qs3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AALhBAAAQQQAAPEIAAMhBAAAwQQAACEIAALhBAAAQQQAA\\nPEIAAMB/AADAfwAAwH8AAMhBAAAwQQAACEIAAJBBAABwQQAAFEIAAMhBAAAwQQAACEIAAMB/\\nAADAfwAAwH8AALhBAAAQQQAAPEIAAJBBAABwQQAAFEIAALhBAAAQQQAAPEIXCS8ZCyISDyUA\\nAABKGg0/18lOPzwWVj5KGg0/18lOPzwWVj5KGg0/18lOPzwWVj4AAIA/AACAPwAAgD/JyMg9\\nAACwQauqOkFWVR1CAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAC4QQAA\\nEEEAADxCAADIQQAAMEEAAAhCAAC4QQAAEEEAADxCAADAfwAAwH8AAMB/AADIQQAAMEEAAAhC\\nAADwQQAAoEAAADhCAADIQQAAMEEAAAhCAADAfwAAwH8AAMB/AAC4QQAAEEEAADxCAADwQQAA\\noEAAADhCAAC4QQAAEEEAADxCzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAuEEAABBBAAA8QgAAyEEAADBBAAAIQgAAuEEAABBBAAA8QgAA\\nwH8AAMB/AADAfwAAyEEAADBBAAAIQgAA8EEAAKBAAAA4QgAAyEEAADBBAAAIQgAAwH8AAMB/\\nAADAfwAAuEEAABBBAAA8QgAA8EEAAKBAAAA4QgAAuEEAABBBAAA8QhcJLxkLIh4FLgAAALLs\\nAb+NIla/nbpTvrLsAb+NIla/nbpTvrLsAb+NIla/nbpTvgAAgD8AAIA/AACAP8nIyD0AANBB\\nVlUFQVZVKUIAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAIBBAABwQQAA\\nWEIAALhBAAAQQQAAPEIAAIBBAABwQQAAWEIAAMB/AADAfwAAwH8AALhBAAAQQQAAPEIAALhB\\nAAAQQQAAiEIAALhBAAAQQQAAPEIAAMB/AADAfwAAwH8AAIBBAABwQQAAWEIAAIBBAABwQQAA\\niEIAAIBBAABwQQAAWELNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AACAQQAAcEEAAFhCAAC4QQAAEEEAADxCAACAQQAAcEEAAFhCAADAfwAA\\nwH8AAMB/AAC4QQAAEEEAADxCAAC4QQAAEEEAAIhCAAC4QQAAEEEAADxCAADAfwAAwH8AAMB/\\nAACAQQAAcEEAAFhCAACAQQAAcEEAAIhCAACAQQAAcEEAAFhCEA82FwkvFwlEEA9ERJomv6Ve\\nQr8AAAAARJomv6VeQr8AAAAARJomv6VeQr8AAAAARJomv6VeQr8AAAAAAACAPwAAgD8AAIA/\\nycjIPQAAnEEAAEBBAABtQgAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA\\noEEAANBBAACgQQAAgEEAAPhBAACoQQAAoEEAANBBAACgQQAAwH8AAMB/AADAfwAAgEEAAPhB\\nAACoQQAAyEEAAOBBAABgQQAAgEEAAPhBAACoQQAAwH8AAMB/AADAfwAAoEEAANBBAACgQQAA\\nyEEAAOBBAABgQQAAoEEAANBBAACgQc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAKBBAADQQQAAoEEAAIBBAAD4QQAAqEEAAKBBAADQQQAA\\noEEAAMB/AADAfwAAwH8AAIBBAAD4QQAAqEEAAMhBAADgQQAAYEEAAIBBAAD4QQAAqEEAAMB/\\nAADAfwAAwH8AAKBBAADQQQAAoEEAAMhBAADgQQAAYEEAAKBBAADQQQAAoEEUGhQQHxUZHA4A\\nAADcsiS/ZZTDvnPYKb/csiS/ZZTDvnPYKb/csiS/ZZTDvnPYKb8AAIA/AACAPwAAgD/JyMg9\\nq6qiQauq4kGrqpJBAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACgQQAA\\n0EEAAKBBAACYQQAAsEEAAMBBAACgQQAA0EEAAKBBAADAfwAAwH8AAMB/AACYQQAAsEEAAMBB\\nAADIQQAA4EEAAGBBAACYQQAAsEEAAMBBAADAfwAAwH8AAMB/AACgQQAA0EEAAKBBAADIQQAA\\n4EEAAGBBAACgQQAA0EEAAKBBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAoEEAANBBAACgQQAAmEEAALBBAADAQQAAoEEAANBBAACgQQAA\\nwH8AAMB/AADAfwAAmEEAALBBAADAQQAAyEEAAOBBAABgQQAAmEEAALBBAADAQQAAwH8AAMB/\\nAADAfwAAoEEAANBBAACgQQAAyEEAAOBBAABgQQAAoEEAANBBAACgQRQaFBMWGBkcDgAAAK8J\\nEz95qAA/5WolP68JEz95qAA/5WolP68JEz95qAA/5WolPwAAgD8AAIA/AACAP8nIyD2rqqpB\\nq6rKQauqmkEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAKBBAADQQQAA\\noEEAAJhBAACwQQAAwEEAAKBBAADQQQAAoEEAAMB/AADAfwAAwH8AAJhBAACwQQAAwEEAAIBB\\nAAD4QQAAqEEAAJhBAACwQQAAwEEAAMB/AADAfwAAwH8AAKBBAADQQQAAoEEAAIBBAAD4QQAA\\nqEEAAKBBAADQQQAAoEHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AACgQQAA0EEAAKBBAACYQQAAsEEAAMBBAACgQQAA0EEAAKBBAADAfwAA\\nwH8AAMB/AACYQQAAsEEAAMBBAACAQQAA+EEAAKhBAACYQQAAsEEAAMBBAADAfwAAwH8AAMB/\\nAACgQQAA0EEAAKBBAACAQQAA+EEAAKhBAACgQQAA0EEAAKBBFBoUExYYEB8VAAAAXFYuv/Pr\\n2b6Qixi/XFYuv/Pr2b6Qixi/XFYuv/Pr2b6Qixi/AACAPwAAgD8AAIA/ycjIPauqkkGrqtJB\\nVlWtQQAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA4EEAAMBBAABwQQAA\\nmEEAALBBAADAQQAA4EEAAMBBAABwQQAAwH8AAMB/AADAfwAAmEEAALBBAADAQQAAyEEAAOBB\\nAABgQQAAmEEAALBBAADAQQAAwH8AAMB/AADAfwAA4EEAAMBBAABwQQAAyEEAAOBBAABgQQAA\\n4EEAAMBBAABwQc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAOBBAADAQQAAcEEAAJhBAACwQQAAwEEAAOBBAADAQQAAcEEAAMB/AADAfwAA\\nwH8AAJhBAACwQQAAwEEAAMhBAADgQQAAYEEAAJhBAACwQQAAwEEAAMB/AADAfwAAwH8AAOBB\\nAADAQQAAcEEAAMhBAADgQQAAYEEAAOBBAADAQQAAcEEcGA8TFhgZHA4AAADwDAa/le8Nv4OX\\nJb/wDAa/le8Nv4OXJb/wDAa/le8Nv4OXJb8AAIA/AACAPwAAgD/JyMg9AADAQVZVxUFWVY1B\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADgQQAAwEEAAHBBAAAEQgAA\\n4EEAACBBAADgQQAAwEEAAHBBAADAfwAAwH8AAMB/AAAEQgAA4EEAACBBAADIQQAA4EEAAGBB\\nAAAEQgAA4EEAACBBAADAfwAAwH8AAMB/AADgQQAAwEEAAHBBAADIQQAA4EEAAGBBAADgQQAA\\nwEEAAHBBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAA4EEAAMBBAABwQQAABEIAAOBBAAAgQQAA4EEAAMBBAABwQQAAwH8AAMB/AADAfwAA\\nBEIAAOBBAAAgQQAAyEEAAOBBAABgQQAABEIAAOBBAAAgQQAAwH8AAMB/AADAfwAA4EEAAMBB\\nAABwQQAAyEEAAOBBAABgQQAA4EEAAMBBAABwQRwYDyEcChkcDgAAAEXdxz6W1Pk+Rd1HP0Xd\\nxz6W1Pk+Rd1HP0Xdxz6W1Pk+Rd1HPwAAgD8AAIA/AACAP8nIyD1WVeVBVlXVQQAAUEEAAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAEBCAAD4QQAAoEAAAEhCAADIQQAA\\nAEEAAEBCAAD4QQAAoEAAAMB/AADAfwAAwH8AAEhCAADIQQAAAEEAACRCAADwQQAAwEAAAEhC\\nAADIQQAAAEEAAMB/AADAfwAAwH8AAEBCAAD4QQAAoEAAACRCAADwQQAAwEAAAEBCAAD4QQAA\\noEDNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAABAQgAA+EEAAKBAAABIQgAAyEEAAABBAABAQgAA+EEAAKBAAADAfwAAwH8AAMB/AABIQgAA\\nyEEAAABBAAAkQgAA8EEAAMBAAABIQgAAyEEAAABBAADAfwAAwH8AAMB/AABAQgAA+EEAAKBA\\nAAAkQgAA8EEAAMBAAABAQgAA+EEAAKBAMB8FMhkIKR4GAAAASgx3vRzB7L7udWK/Sgx3vRzB\\n7L7udWK/Sgx3vRzB7L7udWK/AACAPwAAgD8AAIA/ycjIPVZVOUJWVeVBq6rKQAAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAQEIAAPhBAACgQAAAQEIAAARCAACAQAAA\\nQEIAAPhBAACgQAAAwH8AAMB/AADAfwAAQEIAAARCAACAQAAAJEIAAPBBAADAQAAAQEIAAARC\\nAACAQAAAwH8AAMB/AADAfwAAQEIAAPhBAACgQAAAJEIAAPBBAADAQAAAQEIAAPhBAACgQM3M\\nzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAEBC\\nAAD4QQAAoEAAAEBCAAAEQgAAgEAAAEBCAAD4QQAAoEAAAMB/AADAfwAAwH8AAEBCAAAEQgAA\\ngEAAACRCAADwQQAAwEAAAEBCAAAEQgAAgEAAAMB/AADAfwAAwH8AAEBCAAD4QQAAoEAAACRC\\nAADwQQAAwEAAAEBCAAD4QQAAoEAwHwUwIQQpHgYAAABik4I97IHkPuyBZD9ik4I97IHkPuyB\\nZD9ik4I97IHkPuyBZD8AAIA/AACAPwAAgD/JyMg9q6o2Qquq+kEAAKBAAADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACKQgAABEIAAIBAAABAQgAABEIAAIBAAACKQgAA\\nBEIAAIBAAADAfwAAwH8AAMB/AABAQgAABEIAAIBAAABAQgAA+EEAAKBAAABAQgAABEIAAIBA\\nAADAfwAAwH8AAMB/AABAQgAA+EEAAKBAAABIQgAAyEEAAABBAABAQgAA+EEAAKBAAADAfwAA\\nwH8AAMB/AABIQgAAyEEAAABBAACKQgAAyEEAAABBAABIQgAAyEEAAABBzczMPs3MzD7NzMw+\\nAACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAikIAAARCAACAQAAA\\nQEIAAARCAACAQAAAikIAAARCAACAQAAAwH8AAMB/AADAfwAAQEIAAARCAACAQAAAQEIAAPhB\\nAACgQAAAQEIAAARCAACAQAAAwH8AAMB/AADAfwAAQEIAAPhBAACgQAAASEIAAMhBAAAAQQAA\\nQEIAAPhBAACgQAAAwH8AAMB/AADAfwAASEIAAMhBAAAAQQAAikIAAMhBAAAAQQAASEIAAMhB\\nAAAAQUUhBDAfBUUZCDAfBTIZCEUZCEUhBDAhBDAfBQAAAAAALvnkPi75ZD8AAAAALvnkPi75\\nZD8AAAAALvnkPi75ZD8AAACALvnkPi75ZD8AAACALvnkPi75ZD8AAACALvnkPi75ZD8AAACA\\nLvnkPi75ZD8AAACALvnkPi75ZD8AAACALvnkPi75ZD8AAIA/AACAPwAAgD/JyMg9AAB4QlZV\\n7UFWVbVAq6peQgAA2EEAAOBAAABcQlZVAUKrqopAAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AABYQgAAEEIAAEBAAABAQgAABEIAAIBAAABYQgAAEEIAAEBAAADAfwAA\\nwH8AAMB/AABAQgAABEIAAIBAAAA4QgAAIEIAAABAAABAQgAABEIAAIBAAADAfwAAwH8AAMB/\\nAABYQgAAEEIAAEBAAAA4QgAAIEIAAABAAABYQgAAEEIAAEBAzczMPs3MzD7NzMw+AACAPwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAWEIAABBCAABAQAAAQEIAAARC\\nAACAQAAAWEIAABBCAABAQAAAwH8AAMB/AADAfwAAQEIAAARCAACAQAAAOEIAACBCAAAAQAAA\\nQEIAAARCAACAQAAAwH8AAMB/AADAfwAAWEIAABBCAABAQAAAOEIAACBCAAAAQAAAWEIAABBC\\nAABAQDYkAzAhBC4oAgAAAKjOo7zTVI++/LV1v6jOo7zTVI++/LV1v6jOo7zTVI++/LV1vwAA\\ngD8AAIA/AACAP8nIyD1WVUVCVlURQgAAQEAAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAIpCAAAgQgAAAEAAADhCAAAgQgAAAEAAAIpCAAAgQgAAAEAAAMB/AADAfwAA\\nwH8AADhCAAAgQgAAAEAAAFhCAAAQQgAAQEAAADhCAAAgQgAAAEAAAMB/AADAfwAAwH8AAFhC\\nAAAQQgAAQEAAAIpCAAAQQgAAQEAAAFhCAAAQQgAAQEDNzMw+zczMPs3MzD4AAIA/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AACKQgAAIEIAAABAAAA4QgAAIEIAAABA\\nAACKQgAAIEIAAABAAADAfwAAwH8AAMB/AAA4QgAAIEIAAABAAABYQgAAEEIAAEBAAAA4QgAA\\nIEIAAABAAADAfwAAwH8AAMB/AABYQgAAEEIAAEBAAACKQgAAEEIAAEBAAABYQgAAEEIAAEBA\\nRSgCLigCNiQDRSQDAAAAgENbeD5DW3g/AAAAgENbeD5DW3g/AAAAgENbeD5DW3g/AAAAgENb\\neD5DW3g/AACAPwAAgD8AAIA/ycjIPQAAbkIAABhCAAAgQAAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAikIAABBCAABAQAAAWEIAABBCAABAQAAAikIAABBCAABAQAAA\\nwH8AAMB/AADAfwAAWEIAABBCAABAQAAAQEIAAARCAACAQAAAWEIAABBCAABAQAAAwH8AAMB/\\nAADAfwAAQEIAAARCAACAQAAAikIAAARCAACAQAAAQEIAAARCAACAQM3MzD7NzMw+zczMPgAA\\ngD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAIpCAAAQQgAAQEAAAFhC\\nAAAQQgAAQEAAAIpCAAAQQgAAQEAAAMB/AADAfwAAwH8AAFhCAAAQQgAAQEAAAEBCAAAEQgAA\\ngEAAAFhCAAAQQgAAQEAAAMB/AADAfwAAwH8AAEBCAAAEQgAAgEAAAIpCAAAEQgAAgEAAAEBC\\nAAAEQgAAgEBFJAM2JAMwIQRFIQQAAACAmuihPujccj8AAACAmuihPujccj8AAACAmuihPujc\\ncj8AAACAmuihPujccj8AAIA/AACAPwAAgD/JyMg9AABwQgAACkIAAGBAAADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/zczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAf0Uh\\nBEUkA0UvAUUvAUUBREUhBEUBREUSDUUhBEUBREUJGEUSDUUSDUUZCEUhBEUvAUVFREUBREUJ\\nGEUME0USDUUBREUFH0UJGEUkA0UoAkUvAUUBREUBMkUFH0UvAUVFAUVFREUBMkUCKkUFHwEA\\nAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEA\\nAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAEAAAAA\\ngD8AAIA/AACAP8nIyD0AAIpCq6oaQquqKkAAAIpCAADYQauqwkEAAIpCq6qKQauq4kEAAIpC\\nVlUVQQAADEIAAIpCq6rKQVZVBUEAAIpCAAAcQquqNkIAAIpCAABQQVZVlUEAAIpCAACgQAAA\\nJEIAAIpCAAAkQgAAAEAAAIpCVlUVQKuqRkIAAIpCq6p2QququkEAAIpCq6oqQAAAJEIAAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAIpCAAAQQQAAwEEAAEhCAAAQQQAA\\nwEEAAIpCAAAQQQAAwEEAAMB/AADAfwAAwH8AAEhCAAAQQQAAwEEAAEBCAACgQAAA+EEAAEhC\\nAAAQQQAAwEEAAMB/AADAfwAAwH8AAEBCAACgQAAA+EEAAIpCAACgQAAA+EEAAEBCAACgQAAA\\n+EHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAACKQgAAEEEAAMBBAABIQgAAEEEAAMBBAACKQgAAEEEAAMBBAADAfwAAwH8AAMB/AABIQgAA\\nEEEAAMBBAABAQgAAoEAAAPhBAABIQgAAEEEAAMBBAADAfwAAwH8AAMB/AABAQgAAoEAAAPhB\\nAACKQgAAoEAAAPhBAABAQgAAoEAAAPhBRQkYMgkYMAUfRQUfAAAAgC9FXj/tBf4+AAAAgC9F\\nXj/tBf4+AAAAgC9FXj/tBf4+AAAAgC9FXj/tBf4+AACAPwAAgD8AAIA/ycjIPQAAbEIAAOBA\\nAADcQQAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAikIAAEBBAACYQQAA\\nNEIAAEBBAACYQQAAikIAAEBBAACYQQAAwH8AAMB/AADAfwAANEIAAEBBAACYQQAASEIAABBB\\nAADAQQAANEIAAEBBAACYQQAAwH8AAMB/AADAfwAASEIAABBBAADAQQAAikIAABBBAADAQQAA\\nSEIAABBBAADAQc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAIpCAABAQQAAmEEAADRCAABAQQAAmEEAAIpCAABAQQAAmEEAAMB/AADAfwAA\\nwH8AADRCAABAQQAAmEEAAEhCAAAQQQAAwEEAADRCAABAQQAAmEEAAMB/AADAfwAAwH8AAEhC\\nAAAQQQAAwEEAAIpCAAAQQQAAwEEAAEhCAAAQQQAAwEFFDBMtDBMyCRhFCRgAAACAqIRbP/+1\\nAz8AAACAqIRbP/+1Az8AAACAqIRbP/+1Az8AAACAqIRbP/+1Az8AAIA/AACAPwAAgD/JyMg9\\nAABpQgAAKEEAAKxBAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAD4QQAA\\nMEEAANhBAAAcQgAAQEEAAKhBAAD4QQAAMEEAANhBAADAfwAAwH8AAMB/AAAcQgAAQEEAAKhB\\nAAAgQgAA4EAAAOhBAAAcQgAAQEEAAKhBAADAfwAAwH8AAMB/AAD4QQAAMEEAANhBAAAgQgAA\\n4EAAAOhBAAD4QQAAMEEAANhBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAA+EEAADBBAADYQQAAHEIAAEBBAACoQQAA+EEAADBBAADYQQAA\\nwH8AAMB/AADAfwAAHEIAAEBBAACoQQAAIEIAAOBAAADoQQAAHEIAAEBBAACoQQAAwH8AAMB/\\nAADAfwAA+EEAADBBAADYQQAAIEIAAOBAAADoQQAA+EEAADBBAADYQR8LGycMFSgHHQAAAIMC\\nhr6KMlW/3L75voMChr6KMlW/3L75voMChr6KMlW/3L75vgAAgD8AAIA/AACAP8nIyD2rqhJC\\nAAAgQVZVzUEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAPhBAAAwQQAA\\n2EEAABxCAABAQQAAqEEAAPhBAAAwQQAA2EEAAMB/AADAfwAAwH8AABxCAABAQQAAqEEAAPBB\\nAACAQQAAqEEAABxCAABAQQAAqEEAAMB/AADAfwAAwH8AAPhBAAAwQQAA2EEAAPBBAACAQQAA\\nqEEAAPhBAAAwQQAA2EHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AAD4QQAAMEEAANhBAAAcQgAAQEEAAKhBAAD4QQAAMEEAANhBAADAfwAA\\nwH8AAMB/AAAcQgAAQEEAAKhBAADwQQAAgEEAAKhBAAAcQgAAQEEAAKhBAADAfwAAwH8AAMB/\\nAAD4QQAAMEEAANhBAADwQQAAgEEAAKhBAAD4QQAAMEEAANhBHwsbJwwVHhAVAAAAGdmqPjw0\\nQD/F7hE/GdmqPjw0QD/F7hE/GdmqPjw0QD/F7hE/AACAPwAAgD8AAIA/ycjIPVZVBUIAAFBB\\nAAC4QQAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA+EEAADBBAADYQQAA\\nGEIAAEBAAAAoQgAA+EEAADBBAADYQQAAwH8AAMB/AADAfwAAGEIAAEBAAAAoQgAAIEIAAOBA\\nAADoQQAAGEIAAEBAAAAoQgAAwH8AAMB/AADAfwAA+EEAADBBAADYQQAAIEIAAOBAAADoQQAA\\n+EEAADBBAADYQc3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAPhBAAAwQQAA2EEAABhCAABAQAAAKEIAAPhBAAAwQQAA2EEAAMB/AADAfwAA\\nwH8AABhCAABAQAAAKEIAACBCAADgQAAA6EEAABhCAABAQAAAKEIAAMB/AADAfwAAwH8AAPhB\\nAAAwQQAA2EEAACBCAADgQAAA6EEAAPhBAAAwQQAA2EEfCxsmAyooBx0AAAAskqU+/KhjPyyS\\npT4skqU+/KhjPyySpT4skqU+/KhjPyySpT4AAIA/AACAPwAAgD/JyMg9VlURQgAA4ECrqgJC\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAD4QQAAMEEAANhBAADIQQAA\\nMEEAAAhCAAD4QQAAMEEAANhBAADAfwAAwH8AAMB/AADIQQAAMEEAAAhCAAAYQgAAQEAAAChC\\nAADIQQAAMEEAAAhCAADAfwAAwH8AAMB/AAD4QQAAMEEAANhBAAAYQgAAQEAAAChCAAD4QQAA\\nMEEAANhBzczMPs3MzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAA+EEAADBBAADYQQAAyEEAADBBAAAIQgAA+EEAADBBAADYQQAAwH8AAMB/AADAfwAA\\nyEEAADBBAAAIQgAAGEIAAEBAAAAoQgAAyEEAADBBAAAIQgAAwH8AAMB/AADAfwAA+EEAADBB\\nAADYQQAAGEIAAEBAAAAoQgAA+EEAADBBAADYQR8LGxkLIiYDKgAAAPE1tj7yImI/PC6cPvE1\\ntj7yImI/PC6cPvE1tj7yImI/PC6cPgAAgD8AAIA/AACAP8nIyD2rqvpBVlUFQVZVCUIAAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAPhBAAAwQQAA2EEAAJhBAACwQQAA\\nwEEAAPhBAAAwQQAA2EEAAMB/AADAfwAAwH8AAJhBAACwQQAAwEEAAPBBAACAQQAAqEEAAJhB\\nAACwQQAAwEEAAMB/AADAfwAAwH8AAPhBAAAwQQAA2EEAAPBBAACAQQAAqEEAAPhBAAAwQQAA\\n2EHNzMw+zczMPs3MzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAAD4QQAAMEEAANhBAACYQQAAsEEAAMBBAAD4QQAAMEEAANhBAADAfwAAwH8AAMB/AACYQQAA\\nsEEAAMBBAADwQQAAgEEAAKhBAACYQQAAsEEAAMBBAADAfwAAwH8AAMB/AAD4QQAAMEEAANhB\\nAADwQQAAgEEAAKhBAAD4QQAAMEEAANhBHwsbExYYHhAVAAAAnCIEv2rFMr8n6P2+nCIEv2rF\\nMr8n6P2+nCIEv2rFMr8n6P2+AACAPwAAgD8AAIA/ycjIPVZV1UGrqoJBAADAQQAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAA+EEAADBBAADYQQAAyEEAADBBAAAIQgAA\\n+EEAADBBAADYQQAAwH8AAMB/AADAfwAAyEEAADBBAAAIQgAAmEEAALBBAADAQQAAyEEAADBB\\nAAAIQgAAwH8AAMB/AADAfwAA+EEAADBBAADYQQAAmEEAALBBAADAQQAA+EEAADBBAADYQc3M\\nzD7NzMw+zczMPgAAgD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAPhB\\nAAAwQQAA2EEAAMhBAAAwQQAACEIAAPhBAAAwQQAA2EEAAMB/AADAfwAAwH8AAMhBAAAwQQAA\\nCEIAAJhBAACwQQAAwEEAAMhBAAAwQQAACEIAAMB/AADAfwAAwH8AAPhBAAAwQQAA2EEAAJhB\\nAACwQQAAwEEAAPhBAAAwQQAA2EEfCxsZCyITFhgAAABWCwm/CIo1v93u6r5WCwm/CIo1v93u\\n6r5WCwm/CIo1v93u6r4AAIA/AACAPwAAgD/JyMg9AADIQauqakGrquJBAADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAkQgAAgEEAAIBBAAA0QgAAQEEAAJhBAAAkQgAA\\ngEEAAIBBAADAfwAAwH8AAMB/AAA0QgAAQEEAAJhBAAA0QgAAkEEAAFBBAAA0QgAAQEEAAJhB\\nAADAfwAAwH8AAMB/AAAkQgAAgEEAAIBBAAA0QgAAkEEAAFBBAAAkQgAAgEEAAIBBzczMPs3M\\nzD7NzMw+AACAPwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAJEIAAIBB\\nAACAQQAANEIAAEBBAACYQQAAJEIAAIBBAACAQQAAwH8AAMB/AADAfwAANEIAAEBBAACYQQAA\\nNEIAAJBBAABQQQAANEIAAEBBAACYQQAAwH8AAMB/AADAfwAAJEIAAIBBAACAQQAANEIAAJBB\\nAABQQQAAJEIAAIBBAACAQSkQEC0MEy0SDQAAAGpBMj5qQTI/akEyP2pBMj5qQTI/akEyP2pB\\nMj5qQTI/akEyPwAAgD8AAIA/AACAP8nIyD2rqi5CVlV1QQAAgEEAAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAwH8AACRCAACAQQAAgEEAABxCAABAQQAAqEEAACRCAACAQQAA\\ngEEAAMB/AADAfwAAwH8AABxCAABAQQAAqEEAADRCAABAQQAAmEEAABxCAABAQQAAqEEAAMB/\\nAADAfwAAwH8AACRCAACAQQAAgEEAADRCAABAQQAAmEEAACRCAACAQQAAgEHNzMw+zczMPs3M\\nzD4AAIA/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AAAkQgAAgEEAAIBB\\nAAAcQgAAQEEAAKhBAAAkQgAAgEEAAIBBAADAfwAAwH8AAMB/AAAcQgAAQEEAAKhBAAA0QgAA\\nQEEAAJhBAAAcQgAAQEEAAKhBAADAfwAAwH8AAMB/AAAkQgAAgEEAAIBBAAA0QgAAQEEAAJhB\\nAAAkQgAAgEEAAIBBKRAQJwwVLQwTAAAA3tFhPoR6Nz9mXSk/3tFhPoR6Nz9mXSk/3tFhPoR6\\nNz9mXSk/AACAPwAAgD8AAIA/ycjIPauqJkJWVVVBVlWVQQAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AADAfwAAJEIAAIBBAACAQQAAHEIAAEBBAACoQQAAJEIAAIBBAACAQQAA\\nwH8AAMB/AADAfwAAHEIAAEBBAACoQQAA8EEAAIBBAACoQQAAHEIAAEBBAACoQQAAwH8AAMB/\\nAADAfwAAJEIAAIBBAACAQQAA8EEAAIBBAACoQQAAJEIAAIBBAACAQc3MzD7NzMw+zczMPgAA\\ngD8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AACRCAACAQQAAgEEAABxC\\nAABAQQAAqEEAACRCAACAQQAAgEEAAMB/AADAfwAAwH8AABxCAABAQQAAqEEAAPBBAACAQQAA\\nqEEAABxCAABAQQAAqEEAAMB/AADAfwAAwH8AACRCAACAQQAAgEEAAPBBAACAQQAAqEEAACRC\\nAACAQQAAgEEpEBAnDBUeEBUAAAADEJu+BHIuv52RKr8DEJu+BHIuv52RKr8DEJu+BHIuv52R\\nKr8AAIA/AACAPwAAgD/JyMg9q6oSQquqakGrqppBAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AAAkQgAAgEEAAIBBAAAEQgAA4EEAACBBAAAkQgAAgEEAAIBBAADAfwAA\\nwH8AAMB/AAAEQgAA4EEAACBBAAA0QgAAkEEAAFBBAAAEQgAA4EEAACBBAADAfwAAwH8AAMB/\\nAAAkQgAAgEEAAIBBAAA0QgAAkEEAAFBBAAAkQgAAgEEAAIBBzczMPs3MzD7NzMw+AACAPwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAJEIAAIBBAACAQQAABEIAAOBB\\nAAAgQQAAJEIAAIBBAACAQQAAwH8AAMB/AADAfwAABEIAAOBBAAAgQQAANEIAAJBBAABQQQAA\\nBEIAAOBBAAAgQQAAwH8AAMB/AADAfwAAJEIAAIBBAACAQQAANEIAAJBBAABQQQAAJEIAAIBB\\nAACAQSkQECEcCi0SDQAAAEMfk75DHxO/rylEv0Mfk75DHxO/rylEv0Mfk75DHxO/rylEvwAA\\ngD8AAIA/AACAP8nIyD2rqh5CVlWlQQAAUEEAAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAOBBAADAQAAAQEIAALhBAAAQQQAAPEIAAOBBAADAQAAAQEIAAMB/AADAfwAA\\nwH8AALhBAAAQQQAAPEIAAPBBAACgQAAAOEIAALhBAAAQQQAAPEIAAMB/AADAfwAAwH8AAOBB\\nAADAQAAAQEIAAPBBAACgQAAAOEIAAOBBAADAQAAAQELNzMw+zczMPs3MzD4AAIA/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADgQQAAwEAAAEBCAAC4QQAAEEEAADxC\\nAADgQQAAwEAAAEBCAADAfwAAwH8AAMB/AAC4QQAAEEEAADxCAADwQQAAoEAAADhCAAC4QQAA\\nEEEAADxCAADAfwAAwH8AAMB/AADgQQAAwEAAAEBCAADwQQAAoEAAADhCAADgQQAAwEAAAEBC\\nHAYwFwkvHgUuAAAAeagAv4aOXL+vCZO9eagAv4aOXL+vCZO9eagAv4aOXL+vCZO9AACAPwAA\\ngD8AAIA/ycjIPQAA2EFWVdVAAAA8QgAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAA4EEAAMBAAABAQgAA8EEAAKBAAAA4QgAA4EEAAMBAAABAQgAAwH8AAMB/AADAfwAA\\n8EEAAKBAAAA4QgAA8EEAAKBAAACIQgAA8EEAAKBAAAA4QgAAwH8AAMB/AADAfwAA4EEAAMBA\\nAABAQgAA4EEAAMBAAACIQgAA4EEAAMBAAABAQs3MzD7NzMw+zczMPgAAgD8AAMB/AADAfwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAOBBAADAQAAAQEIAAPBBAACgQAAAOEIAAOBB\\nAADAQAAAQEIAAMB/AADAfwAAwH8AAPBBAACgQAAAOEIAAPBBAACgQAAAiEIAAPBBAACgQAAA\\nOEIAAMB/AADAfwAAwH8AAOBBAADAQAAAQEIAAOBBAADAQAAAiEIAAOBBAADAQAAAQEIcBjAe\\nBS4eBUQcBkQu+eS+LvlkvwAAAAAu+eS+LvlkvwAAAAAu+eS+LvlkvwAAAAAu+eS+LvlkvwAA\\nAAAAAIA/AACAPwAAgD/JyMg9AADoQQAAsEAAAGZCAADAfwAAwH8AAMB/AADAfwAAwH8AAMB/\\nAADAfwAAwH8AAMB/AAC4QQAAEEEAADxCAADgQQAAwEAAAEBCAAC4QQAAEEEAADxCAADAfwAA\\nwH8AAMB/AADgQQAAwEAAAEBCAADgQQAAwEAAAIhCAADgQQAAwEAAAEBCAADAfwAAwH8AAMB/\\nAAC4QQAAEEEAADxCAAC4QQAAEEEAAIhCAAC4QQAAEEEAADxCzczMPs3MzD7NzMw+AACAPwAA\\nwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAwH8AAMB/AADAfwAAuEEAABBBAAA8QgAA4EEAAMBA\\nAABAQgAAuEEAABBBAAA8QgAAwH8AAMB/AADAfwAA4EEAAMBAAABAQgAA4EEAAMBAAACIQgAA\\n4EEAAMBAAABAQgAAwH8AAMB/AADAfwAAuEEAABBBAAA8QgAAuEEAABBBAACIQgAAuEEAABBB\\nAAA8QhcJLxwGMBwGRBcJRP61A7+ohFu/AAAAAP61A7+ohFu/AAAAAP61A7+ohFu/AAAAAP61\\nA7+ohFu/AAAAAAAAgD8AAIA/AACAP8nIyD0AAMxBAADwQAAAZ0IAAMB/A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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D(argsPlot3d = list(   xlim = c(0,max(pts[,1])+10),   ylim = c(0,max(pts[,2])+10),   zlim = c(0,max(pts[,3])+10))) plotHull3D(pts, drawPoints = TRUE, drawPolygons = TRUE, addText = \"coord\", addRays = TRUE) finalize3D() 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":3537,\"objects\":{\"3544\":{\"id\":3544,\"type\":\"clipplanes\",\"offsets\":[[-0],[69],[-0],[69],[-0],[68]],\"normals\":\"0\",\"flags\":512},\"3545\":{\"id\":3545,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"1\",\"colors\":\"2\",\"centers\":\"3\",\"ignoreExtent\":false,\"flags\":32832},\"3546\":{\"id\":3546,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"4\",\"colors\":\"5\",\"centers\":\"6\",\"ignoreExtent\":false,\"flags\":32832},\"3548\":{\"id\":3548,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":0,\"floating\":true,\"edge\":[0,1,1]},\"vertices\":\"7\",\"colors\":\"8\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"9\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"3549\":{\"id\":3549,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":1,\"floating\":true,\"edge\":[1,1,1]},\"vertices\":\"10\",\"colors\":\"11\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"12\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"3550\":{\"id\":3550,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":2,\"floating\":true,\"edge\":[1,1,1]},\"vertices\":\"13\",\"colors\":\"14\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"15\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"3551\":{\"id\":3551,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"16\",\"colors\":\"17\",\"centers\":\"18\",\"ignoreExtent\":false,\"flags\":32832},\"3552\":{\"id\":3552,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"19\",\"colors\":\"21\",\"centers\":\"22\",\"normals\":\"20\",\"ignoreExtent\":false,\"flags\":32811},\"3553\":{\"id\":3553,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"23\",\"colors\":\"24\",\"centers\":\"25\",\"ignoreExtent\":false,\"flags\":32832},\"3554\":{\"id\":3554,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"26\",\"colors\":\"28\",\"centers\":\"29\",\"normals\":\"27\",\"ignoreExtent\":false,\"flags\":32811},\"3555\":{\"id\":3555,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"30\",\"colors\":\"31\",\"centers\":\"32\",\"ignoreExtent\":false,\"flags\":32832},\"3556\":{\"id\":3556,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"33\",\"colors\":\"35\",\"centers\":\"36\",\"normals\":\"34\",\"ignoreExtent\":false,\"flags\":32811},\"3557\":{\"id\":3557,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"37\",\"colors\":\"38\",\"centers\":\"39\",\"ignoreExtent\":false,\"flags\":32832},\"3558\":{\"id\":3558,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"40\",\"colors\":\"42\",\"centers\":\"43\",\"normals\":\"41\",\"ignoreExtent\":false,\"flags\":32811},\"3559\":{\"id\":3559,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"44\",\"colors\":\"45\",\"centers\":\"46\",\"ignoreExtent\":false,\"flags\":32832},\"3560\":{\"id\":3560,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"47\",\"colors\":\"49\",\"centers\":\"50\",\"normals\":\"48\",\"ignoreExtent\":false,\"flags\":32811},\"3561\":{\"id\":3561,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"51\",\"colors\":\"52\",\"centers\":\"53\",\"ignoreExtent\":false,\"flags\":32832},\"3562\":{\"id\":3562,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"54\",\"colors\":\"56\",\"centers\":\"57\",\"normals\":\"55\",\"ignoreExtent\":false,\"flags\":32811},\"3563\":{\"id\":3563,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"58\",\"colors\":\"59\",\"centers\":\"60\",\"ignoreExtent\":false,\"flags\":32832},\"3564\":{\"id\":3564,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"61\",\"colors\":\"63\",\"centers\":\"64\",\"normals\":\"62\",\"ignoreExtent\":false,\"flags\":32811},\"3565\":{\"id\":3565,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices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AAFEIAAPBB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QgAAwH8AAMB/AADAfwAAAEEAANhBAAAcQgAAQEEAANBBAAD4QQAAAEEAANhB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QAAyEEAAOBBAABgQQAAoEEAANBBAACgQc3M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\\neagAv4aOXL+vCZO9eagAv4aOXL+vCZO9AACAP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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D(argsPlot3d = list(   xlim = c(0,max(pts[,1])+10),   ylim = c(0,max(pts[,2])+10),   zlim = c(0,max(pts[,3])+10))) plotHull3D(pts, drawPoints = TRUE, drawLines = FALSE,   argsPolygon3d = list(alpha = 1), addRays = TRUE) finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D(argsPlot3d = list(   xlim = c(0,max(pts[,1])+10),   ylim = c(0,max(pts[,2])+10),   zlim = c(0,max(pts[,3])+10))) plotHull3D(pts, drawPoints = TRUE, argsPolygon3d = list(color = \"red\"), addRays = TRUE) plotCones3D(pts, argsPolygon3d = list(alpha = 1), rectangle = TRUE) finalize3D() 3D plot  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ADAfwAAwH8AAMB/AADwQQAA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\\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ADQQQAAikIAADhCAADQQQAA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\\ngD8AAMB/AADAfwAAwH8AAMB/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ADAfwAAwH8AAEBCAACgQAAA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\\nikIAAMBBAAAQQQAATEIAAMBB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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# }"},{"path":"http://relund.github.io/gMOIP/reference/plotLines2D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot the lines of a linear mathematical program (Ax = b) — plotLines2D","title":"Plot the lines of a linear mathematical program (Ax = b) — plotLines2D","text":"Plot lines linear mathematical program (Ax = b)","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotLines2D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot the lines of a linear mathematical program (Ax = b) — plotLines2D","text":"","code":"plotLines2D(A, b, nonneg = rep(TRUE, ncol(A)), latex = FALSE, ...)"},{"path":"http://relund.github.io/gMOIP/reference/plotLines2D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot the lines of a linear mathematical program (Ax = b) — plotLines2D","text":"constraint matrix. b Right hand side. nonneg boolean vector length number variables. entry k TRUE variable k must non-negative line plotted . latex True make latex math labels TikZ. ... arguments passed ggplot plotting functions. must done lists. Currently following arguments supported: argsTheme: list arguments ggplot2::theme.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotLines2D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot the lines of a linear mathematical program (Ax = b) — plotLines2D","text":"ggplot object.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotLines2D.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Plot the lines of a linear mathematical program (Ax = b) — plotLines2D","text":"general properly use plotPolytope() instead function.","code":""},{"path":[]},{"path":"http://relund.github.io/gMOIP/reference/plotLines2D.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Plot the lines of a linear mathematical program (Ax = b) — plotLines2D","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotMTeX3D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot TeX in the margin — plotMTeX3D","title":"Plot TeX in the margin — plotMTeX3D","text":"Plot TeX margin","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotMTeX3D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot TeX in the margin — plotMTeX3D","text":"","code":"plotMTeX3D(tex, edge, line = 0, at = NULL, pos = NA, ...)"},{"path":"http://relund.github.io/gMOIP/reference/plotMTeX3D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot TeX in the margin — plotMTeX3D","text":"tex TeX string edge position draw axis text. line ``line'' plot margin draw label . value coordinate draw axis. pos position draw axis text. ... arguments passed plotTeX3D().","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotMTeX3D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot TeX in the margin — plotMTeX3D","text":"object IDs objects added scene.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotNDSet2D.html","id":null,"dir":"Reference","previous_headings":"","what":"Create a plot of a discrete non-dominated set. — plotNDSet2D","title":"Create a plot of a discrete non-dominated set. — plotNDSet2D","text":"Create plot discrete non-dominated set.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotNDSet2D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Create a plot of a discrete non-dominated set. — plotNDSet2D","text":"","code":"plotNDSet2D(   points,   crit,   addTriangles = FALSE,   addHull = TRUE,   latex = FALSE,   labels = NULL )"},{"path":"http://relund.github.io/gMOIP/reference/plotNDSet2D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Create a plot of a discrete non-dominated set. — plotNDSet2D","text":"points Data frame non-dominated points. crit Either max min (used add iso-profit line). vector currently supported. addTriangles Add search triangles defined non-dominated extreme points. addHull Add convex hull rays. latex true make latex math labels TikZ. labels NULL add labels. 'n' labels show points. equal coord add coordinates points. Otherwise number points one.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotNDSet2D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Create a plot of a discrete non-dominated set. — plotNDSet2D","text":"ggplot object.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotNDSet2D.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Create a plot of a discrete non-dominated set. — plotNDSet2D","text":"Currently points checked dominance. , MILP models nondominated points may fact dominated segment.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotNDSet2D.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Create a plot of a discrete non-dominated set. — plotNDSet2D","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotNDSet2D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Create a plot of a discrete non-dominated set. — plotNDSet2D","text":"","code":"dat <- data.frame(z1=c(12,14,16,18,18,18,14,15,15), z2=c(18,16,12,4,2,6,14,14,16)) points <- addNDSet(dat, crit = \"min\", keepDom = TRUE) plotNDSet2D(points, crit = \"min\", addTriangles = TRUE)  plotNDSet2D(points, crit = \"min\", addTriangles = FALSE)  plotNDSet2D(points, crit = \"min\", addTriangles = TRUE, addHull = FALSE)  points <- addNDSet(dat, crit = \"max\", keepDom = TRUE) plotNDSet2D(points, crit = \"max\", addTriangles = TRUE)  plotNDSet2D(points, crit = \"max\", addHull = FALSE)"},{"path":"http://relund.github.io/gMOIP/reference/plotPlane3D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot a plane in 3D. — plotPlane3D","title":"Plot a plane in 3D. — plotPlane3D","text":"Plot plane 3D.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPlane3D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot a plane in 3D. — plotPlane3D","text":"","code":"plotPlane3D(   normal,   point = NULL,   offset = 0,   useShade = TRUE,   useLines = FALSE,   usePoints = FALSE,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/plotPlane3D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot a plane in 3D. — plotPlane3D","text":"normal Normal plane. point point plane. offset offset plane (used point = NULL). useShade Plot shade plane. useLines Plot lines inside plane. usePoints Plot point shapes inside plane. ... arguments passed RGL plotting functions. must done lists (see examples). Currently following arguments supported: argsPlanes3d: list arguments rgl::planes3d() used useShade = TRUE. argsLines: list arguments rgl::persp3d() useLines = TRUE. Moreover, list may contain lines: number lines.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPlane3D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot a plane in 3D. — plotPlane3D","text":"NULL (invisible)","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPlane3D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Plot a plane in 3D. — plotPlane3D","text":"3D plot 3D plot","code":"# \\donttest{ ini3D(argsPlot3d = list(xlim = c(-1,10), ylim = c(-1,10), zlim = c(-1,10)) ) plotPlane3D(c(1,1,1), point = c(1,1,1)) plotPoints3D(c(1,1,1)) plotPlane3D(c(1,2,1), point = c(2,2,2), argsPlanes3d = list(color=\"red\")) plotPoints3D(c(2,2,2)) plotPlane3D(c(2,1,1), offset = -6, argsPlanes3d = list(color=\"blue\")) plotPlane3D(c(2,1,1), argsPlanes3d = list(color=\"green\")) finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D(argsPlot3d = list(xlim = c(-1,10), ylim = c(-1,10), zlim = c(-1,10)) ) plotPlane3D(c(1,1,1), point = c(1,1,1), useLines = TRUE, useShade = TRUE) ids <- plotPlane3D(c(1,2,1), point = c(2,2,2), argsLines = list(col=\"blue\", lines = 100),             useLines = TRUE) finalize3D() 3D plot  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aHxr6yPjRATsFLPxW8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\\nEz86zRM/Oc0TPzvNEz87zRM/O80TP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Q4HkE5jmO+chxHv8dx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\\nF0E5juO+OY7jvlVVFUGrqqq+OY7jv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3Ic50A5jmO+5DgOPzmO40A5juO95DgOPwAA4EAAAAAA\\n5DgOP8dx3EA5juM95DgOP47j2EA5jmM+5DgOP1VV1UCrqqo+5DgOPxzH0UA5juM+5DgOP+Q4\\nzkDkOA4/5DgOP6uqykCrqio/5DgOP3Icx0ByHEc/5DgOPzmOw0A5jmM/5DgOPwAAwEAAAIA/\\n5DgOP8dxvEDkOI4/5DgOP47juEDHcZw/5DgOP1VVtUCrqqo/5DgOPxzHsUCO47g/5DgOP+Q4\\nrkByHMc/5DgOP6uqqkBVVdU/5DgOP3Icp0A5juM/5DgOPzmOo0Acx/E/5DgOPwAAoEAAAABA\\n5DgOP8dxnEByHAdA5DgOP47jmEDkOA5A5DgOP1VVlUBVVRVA5DgOPxzHkUDHcRxA5DgOP+Q4\\njkA5jiNA5DgOP6uqikCrqipA5DgOP3Ich0AcxzFA5DgOPzmOg0CO4zhA5DgOPwAAgEAAAEBA\\n5DgOP47jeEByHEdA5DgOPxzHcUDkOE5A5DgOP6uqakBVVVVA5DgOPzmOY0DHcVxA5DgOP8dx\\nXEA5jmNA5DgOP1VVVUCrqmpA5DgOP+Q4TkAcx3FA5DgOP3IcR0CO43hA5DgOPwAAQEAAAIBA\\n5DgOP47jOEA5joNA5DgOPxzHMUByHIdA5DgOP6uqKkCrqopA5DgOPzmOI0DkOI5A5DgOP8dx\\nHEAcx5FA5DgOP1VVFUBVVZVA5DgOP+Q4DkCO45hA5DgOP3IcB0DHcZxA5DgOPwAAAEAAAKBA\\n5DgOPxzH8T85jqNA5DgOPzmO4z9yHKdA5DgOP1VV1T+rqqpA5DgOP3Icxz/kOK5A5DgOP47j\\nuD8cx7FA5DgOP6uqqj9VVbVA5DgOP8dxnD+O47hA5DgOP+Q4jj/HcbxA5DgOPwAAgD8AAMBA\\n5DgOPzmOYz85jsNA5DgOP3IcRz9yHMdA5DgOP6uqKj+rqspA5DgOP+Q4Dj/kOM5A5DgOPzmO\\n4z4cx9FA5DgOP6uqqj5VVdVA5DgOPzmOYz6O49hA5DgOPzmO4z3HcdxA5DgOPwAAgCYAAOBA\\n5DgOPzmO4705juNA5DgOPzmOY75yHOdA5DgOP6uqqr6rqupA5DgOPzmO477kOO5A5DgOP+Q4\\nDr8cx/FA5DgOP6uqKr9VVfVA5DgOP3IcR7+O4/hA5DgOPzmOY7/HcfxA5DgOPwAAgL8AAABB\\n5DgOPwAAwH8cxwFB5DgOPwAAwH85jgNB5DgOPwAAwH9VVQVB5DgOPwAAwH9yHAdB5DgOPwAA\\nwH+O4whB5DgOPwAAwH+rqgpB5DgOPwAAwH/HcQxB5DgOPwAAwH/kOA5B5DgOPwAAwH8AABBB\\n5DgOPwAAwH8cxxFB5DgOPwAAwH85jhNB5DgOPwAAwH9VVRVB5DgOPwAAwH9yHBdB5DgOPwAA\\nwH+O4xhB5DgOPwAAwH+rqhpB5DgOPwAAwH/HcRxB5DgOPwAAwH/kOB5B5DgOPwAAwH8AACBB\\n5DgOPwAAwH8AAIC/q6oqP1VV9UA5jmO/q6oqPxzH8UByHEe/q6oqP+Q47kCrqiq/q6oqP6uq\\n6kDkOA6/q6oqP3Ic50A5juO+q6oqPzmO40Crqqq+q6oqPwAA4EA5jmO+q6oqP8dx3EA5juO9\\nq6oqP47j2EAAAAAAq6oqP1VV1UA5juM9q6oqPxzH0UA5jmM+q6oqP+Q4zkCrqqo+q6oqP6uq\\nykA5juM+q6oqP3Icx0DkOA4/q6oqPzmOw0Crqio/q6oqPwAAwEByHEc/q6oqP8dxvEA5jmM/\\nq6oqP47juEAAAIA/q6oqP1VVtUDkOI4/q6oqPxzHsUDHcZw/q6oqP+Q4rkCrqqo/q6oqP6uq\\nqkCO47g/q6oqP3Icp0ByHMc/q6oqPzmOo0BVVdU/q6oqPwAAoEA5juM/q6oqP8dxnEAcx/E/\\nq6oqP47jmEAAAABAq6oqP1VVlUByHAdAq6oqPxzHkUDkOA5Aq6oqP+Q4jkBVVRVAq6oqP6uq\\nikDHcRxAq6oqP3Ich0A5jiNAq6oqPzmOg0CrqipAq6oqPwAAgEAcxzFAq6oqP47jeECO4zhA\\nq6oqPxzHcUAAAEBAq6oqP6uqakByHEdAq6oqPzmOY0DkOE5Aq6oqP8dxXEBVVVVAq6oqP1VV\\nVUDHcVxAq6oqP+Q4TkA5jmNAq6oqP3IcR0CrqmpAq6oqPwAAQEAcx3FAq6oqP47jOECO43hA\\nq6oqPxzHMUAAAIBAq6oqP6uqKkA5joNAq6oqPzmOI0ByHIdAq6oqP8dxHECrqopAq6oqP1VV\\nFUDkOI5Aq6oqP+Q4DkAcx5FAq6oqP3IcB0BVVZVAq6oqPwAAAECO45hAq6oqPxzH8T/HcZxA\\nq6oqPzmO4z8AAKBAq6oqP1VV1T85jqNAq6oqP3Icxz9yHKdAq6oqP47juD+rqqpAq6oqP6uq\\nqj/kOK5Aq6oqP8dxnD8cx7FAq6oqP+Q4jj9VVbVAq6oqPwAAgD+O47hAq6oqPzmOYz/HcbxA\\nq6oqP3IcRz8AAMBAq6oqP6uqKj85jsNAq6oqP+Q4Dj9yHMdAq6oqPzmO4z6rqspAq6oqP6uq\\nqj7kOM5Aq6oqPzmOYz4cx9FAq6oqPzmO4z1VVdVAq6oqPwAAgCaO49hAq6oqPzmO473HcdxA\\nq6oqPzmOY74AAOBAq6oqP6uqqr45juNAq6oqPzmO475yHOdAq6oqP+Q4Dr+rqupAq6oqP6uq\\nKr/kOO5Aq6oqP3IcR78cx/FAq6oqPzmOY79VVfVAq6oqPwAAgL+O4/hAq6oqPwAAwH/HcfxA\\nq6oqPwAAwH8AAABBq6oqPwAAwH8cxwFBq6oqPwAAwH85jgNBq6oqPwAAwH9VVQVBq6oqPwAA\\nwH9yHAdBq6oqPwAAwH+O4whBq6oqPwAAwH+rqgpBq6oqPwAAwH/HcQxBq6oqPwAAwH/kOA5B\\nq6oqPwAAwH8AABBBq6oqPwAAwH8cxxFBq6oqPwAAwH85jhNBq6oqPwAAwH9VVRVBq6oqPwAA\\nwH9yHBdBq6oqPwAAwH+O4xhBq6oqPwAAwH+rqhpBq6oqPwAAwH/HcRxBq6oqPwAAwH/kOB5B\\nq6oqPwAAwH8AACBBq6oqPwAAwH8AAIC/chxHP+Q47kA5jmO/chxHP6uq6kByHEe/chxHP3Ic\\n50Crqiq/chxHPzmO40DkOA6/chxHPwAA4EA5juO+chxHP8dx3ECrqqq+chxHP47j2EA5jmO+\\nchxHP1VV1UA5juO9chxHPxzH0UAAAAAAchxHP+Q4zkA5juM9chxHP6uqykA5jmM+chxHP3Ic\\nx0Crqqo+chxHPzmOw0A5juM+chxHPwAAwEDkOA4/chxHP8dxvECrqio/chxHP47juEByHEc/\\nchxHP1VVtUA5jmM/chxHPxzHsUAAAIA/chxHP+Q4rkDkOI4/chxHP6uqqkDHcZw/chxHP3Ic\\np0Crqqo/chxHPzmOo0CO47g/chxHPwAAoEByHMc/chxHP8dxnEBVVdU/chxHP47jmEA5juM/\\nchxHP1VVlUAcx/E/chxHPxzHkUAAAABAchxHP+Q4jkByHAdAchxHP6uqikDkOA5AchxHP3Ic\\nh0BVVRVAchxHPzmOg0DHcRxAchxHPwAAgEA5jiNAchxHP47jeECrqipAchxHPxzHcUAcxzFA\\nchxHP6uqakCO4zhAchxHPzmOY0AAAEBAchxHP8dxXEByHEdAchxHP1VVVUDkOE5AchxHP+Q4\\nTkBVVVVAchxHP3IcR0DHcVxAchxHPwAAQEA5jmNAchxHP47jOECrqmpAchxHPxzHMUAcx3FA\\nchxHP6uqKkCO43hAchxHPzmOI0AAAIBAchxHP8dxHEA5joNAchxHP1VVFUByHIdAchxHP+Q4\\nDkCrqopAchxHP3IcB0DkOI5AchxHPwAAAEAcx5FAchxHPxzH8T9VVZVAchxHPzmO4z+O45hA\\nchxHP1VV1T/HcZxAchxHP3Icxz8AAKBAchxHP47juD85jqNAchxHP6uqqj9yHKdAchxHP8dx\\nnD+rqqpAchxHP+Q4jj/kOK5AchxHPwAAgD8cx7FAchxHPzmOYz9VVbVAchxHP3IcRz+O47hA\\nchxHP6uqKj/HcbxAchxHP+Q4Dj8AAMBAchxHPzmO4z45jsNAchxHP6uqqj5yHMdAchxHPzmO\\nYz6rqspAchxHPzmO4z3kOM5AchxHPwAAgCYcx9FAchxHPzmO471VVdVAchxHPzmOY76O49hA\\nchxHP6uqqr7HcdxAchxHPzmO474AAOBAchxHP+Q4Dr85juNAchxHP6uqKr9yHOdAchxHP3Ic\\nR7+rqupAchxHPzmOY7/kOO5AchxHPwAAgL8cx/FAchxHPwAAwH9VVfVAchxHPwAAwH+O4/hA\\nchxHPwAAwH/HcfxAchxHPwAAwH8AAABBchxHPwAAwH8cxwFBchxHPwAAwH85jgNBchxHPwAA\\nwH9VVQVBchxHPwAAwH9yHAdBchxHPwAAwH+O4whBchxHPwAAwH+rqgpBchxHPwAAwH/HcQxB\\nchxHPwAAwH/kOA5BchxHPwAAwH8AABBBchxHPwAAwH8cxxFBchxHPwAAwH85jhNBchxHPwAA\\nwH9VVRVBchxHPwAAwH9yHBdBchxHPwAAwH+O4xhBchxHPwAAwH+rqhpBchxHPwAAwH/HcRxB\\nchxHPwAAwH/kOB5BchxHPwAAwH8AACBBchxHPwAAwH8AAIC/OY5jP3Ic50A5jmO/OY5jPzmO\\n40ByHEe/OY5jPwAA4ECrqiq/OY5jP8dx3EDkOA6/OY5jP47j2EA5juO+OY5jP1VV1UCrqqq+\\nOY5jPxzH0UA5jmO+OY5jP+Q4zkA5juO9OY5jP6uqykAAAAAAOY5jP3Icx0A5juM9OY5jPzmO\\nw0A5jmM+OY5jPwAAwECrqqo+OY5jP8dxvEA5juM+OY5jP47juEDkOA4/OY5jP1VVtUCrqio/\\nOY5jPxzHsUByHEc/OY5jP+Q4rkA5jmM/OY5jP6uqqkAAAIA/OY5jP3Icp0DkOI4/OY5jPzmO\\no0DHcZw/OY5jPwAAoECrqqo/OY5jP8dxnECO47g/OY5jP47jmEByHMc/OY5jP1VVlUBVVdU/\\nOY5jPxzHkUA5juM/OY5jP+Q4jkAcx/E/OY5jP6uqikAAAABAOY5jP3Ich0ByHAdAOY5jPzmO\\ng0DkOA5AOY5jPwAAgEBVVRVAOY5jP47jeEDHcRxAOY5jPxzHcUA5jiNAOY5jP6uqakCrqipA\\nOY5jPzmOY0AcxzFAOY5jP8dxXECO4zhAOY5jP1VVVUAAAEBAOY5jP+Q4TkByHEdAOY5jP3Ic\\nR0DkOE5AOY5jPwAAQEBVVVVAOY5jP47jOEDHcVxAOY5jPxzHMUA5jmNAOY5jP6uqKkCrqmpA\\nOY5jPzmOI0Acx3FAOY5jP8dxHECO43hAOY5jP1VVFUAAAIBAOY5jP+Q4DkA5joNAOY5jP3Ic\\nB0ByHIdAOY5jPwAAAECrqopAOY5jPxzH8T/kOI5AOY5jPzmO4z8cx5FAOY5jP1VV1T9VVZVA\\nOY5jP3Icxz+O45hAOY5jP47juD/HcZxAOY5jP6uqqj8AAKBAOY5jP8dxnD85jqNAOY5jP+Q4\\njj9yHKdAOY5jPwAAgD+rqqpAOY5jPzmOYz/kOK5AOY5jP3IcRz8cx7FAOY5jP6uqKj9VVbVA\\nOY5jP+Q4Dj+O47hAOY5jPzmO4z7HcbxAOY5jP6uqqj4AAMBAOY5jPzmOYz45jsNAOY5jPzmO\\n4z1yHMdAOY5jPwAAgCarqspAOY5jPzmO473kOM5AOY5jPzmOY74cx9FAOY5jP6uqqr5VVdVA\\nOY5jPzmO476O49hAOY5jP+Q4Dr/HcdxAOY5jP6uqKr8AAOBAOY5jP3IcR785juNAOY5jPzmO\\nY79yHOdAOY5jPwAAgL+rqupAOY5jPwAAwH/kOO5AOY5jPwAAwH8cx/FAOY5jPwAAwH9VVfVA\\nOY5jPwAAwH+O4/hAOY5jPwAAwH/HcfxAOY5jPwAAwH8AAABBOY5jPwAAwH8cxwFBOY5jPwAA\\nwH85jgNBOY5jPwAAwH9VVQVBOY5jPwAAwH9yHAdBOY5jPwAAwH+O4whBOY5jPwAAwH+rqgpB\\nOY5jPwAAwH/HcQxBOY5jPwAAwH/kOA5BOY5jPwAAwH8AABBBOY5jPwAAwH8cxxFBOY5jPwAA\\nwH85jhNBOY5jPwAAwH9VVRVBOY5jPwAAwH9yHBdBOY5jPwAAwH+O4xhBOY5jPwAAwH+rqhpB\\nOY5jPwAAwH/HcRxBOY5jPwAAwH/kOB5BOY5jPwAAwH8AACBBOY5jPwAAwH8AAIC/AACAPwAA\\n4EA5jmO/AACAP8dx3EByHEe/AACAP47j2ECrqiq/AACAP1VV1UDkOA6/AACAPxzH0UA5juO+\\nAACAP+Q4zkCrqqq+AACAP6uqykA5jmO+AACAP3Icx0A5juO9AACAPzmOw0AAAAAAAACAPwAA\\nwEA5juM9AACAP8dxvEA5jmM+AACAP47juECrqqo+AACAP1VVtUA5juM+AACAPxzHsUDkOA4/\\nAACAP+Q4rkCrqio/AACAP6uqqkByHEc/AACAP3Icp0A5jmM/AACAPzmOo0AAAIA/AACAPwAA\\noEDkOI4/AACAP8dxnEDHcZw/AACAP47jmECrqqo/AACAP1VVlUCO47g/AACAPxzHkUByHMc/\\nAACAP+Q4jkBVVdU/AACAP6uqikA5juM/AACAP3Ich0Acx/E/AACAPzmOg0AAAABAAACAPwAA\\ngEByHAdAAACAP47jeEDkOA5AAACAPxzHcUBVVRVAAACAP6uqakDHcRxAAACAPzmOY0A5jiNA\\nAACAP8dxXECrqipAAACAP1VVVUAcxzFAAACAP+Q4TkCO4zhAAACAP3IcR0AAAEBAAACAPwAA\\nQEByHEdAAACAP47jOEDkOE5AAACAPxzHMUBVVVVAAACAP6uqKkDHcVxAAACAPzmOI0A5jmNA\\nAACAP8dxHECrqmpAAACAP1VVFUAcx3FAAACAP+Q4DkCO43hAAACAP3IcB0AAAIBAAACAPwAA\\nAEA5joNAAACAPxzH8T9yHIdAAACAPzmO4z+rqopAAACAP1VV1T/kOI5AAACAP3Icxz8cx5FA\\nAACAP47juD9VVZVAAACAP6uqqj+O45hAAACAP8dxnD/HcZxAAACAP+Q4jj8AAKBAAACAPwAA\\ngD85jqNAAACAPzmOYz9yHKdAAACAP3IcRz+rqqpAAACAP6uqKj/kOK5AAACAP+Q4Dj8cx7FA\\nAACAPzmO4z5VVbVAAACAP6uqqj6O47hAAACAPzmOYz7HcbxAAACAPzmO4z0AAMBAAACAPwAA\\nAAA5jsNAAACAPzmO471yHMdAAACAPzmOY76rqspAAACAP6uqqr7kOM5AAACAPzmO474cx9FA\\nAACAP+Q4Dr9VVdVAAACAP6uqKr+O49hAAACAP3IcR7/HcdxAAACAPzmOY78AAOBAAACAPwAA\\ngL85juNAAACAPwAAwH9yHOdAAACAPwAAwH+rqupAAACAPwAAwH/kOO5AAACAPwAAwH8cx/FA\\nAACAPwAAwH9VVfVAAACAPwAAwH+O4/hAAACAPwAAwH/HcfxAAACAPwAAwH8AAABBAACAPwAA\\nwH8cxwFBAACAPwAAwH85jgNBAACAPwAAwH9VVQVBAACAPwAAwH9yHAdBAACAPwAAwH+O4whB\\nAACAPwAAwH+rqgpBAACAPwAAwH/HcQxBAACAPwAAwH/kOA5BAACAPwAAwH8AABBBAACAPwAA\\nwH8cxxFBAACAPwAAwH85jhNBAACAPwAAwH9VVRVBAACAPwAAwH9yHBdBAACAPwAAwH+O4xhB\\nAACAPwAAwH+rqhpBAACAPwAAwH/HcRxBAACAPwAAwH/kOB5BAACAPwAAwH8AACBBAACAPwAA\\nwH8AAIC/5DiOP47j2EA5jmO/5DiOP1VV1UByHEe/5DiOPxzH0UCrqiq/5DiOP+Q4zkDkOA6/\\n5DiOP6uqykA5juO+5DiOP3Icx0Crqqq+5DiOPzmOw0A5jmO+5DiOPwAAwEA5juO95DiOP8dx\\nvEAAAAAA5DiOP47juEA5juM95DiOP1VVtUA5jmM+5DiOPxzHsUCrqqo+5DiOP+Q4rkA5juM+\\n5DiOP6uqqkDkOA4/5DiOP3Icp0Crqio/5DiOPzmOo0ByHEc/5DiOPwAAoEA5jmM/5DiOP8dx\\nnEAAAIA/5DiOP47jmEDkOI4/5DiOP1VVlUDHcZw/5DiOPxzHkUCrqqo/5DiOP+Q4jkCO47g/\\n5DiOP6uqikByHMc/5DiOP3Ich0BVVdU/5DiOPzmOg0A5juM/5DiOPwAAgEAcx/E/5DiOP47j\\neEAAAABA5DiOPxzHcUByHAdA5DiOP6uqakDkOA5A5DiOPzmOY0BVVRVA5DiOP8dxXEDHcRxA\\n5DiOP1VVVUA5jiNA5DiOP+Q4TkCrqipA5DiOP3IcR0AcxzFA5DiOPwAAQECO4zhA5DiOP47j\\nOEAAAEBA5DiOPxzHMUByHEdA5DiOP6uqKkDkOE5A5DiOPzmOI0BVVVVA5DiOP8dxHEDHcVxA\\n5DiOP1VVFUA5jmNA5DiOP+Q4DkCrqmpA5DiOP3IcB0Acx3FA5DiOPwAAAECO43hA5DiOPxzH\\n8T8AAIBA5DiOPzmO4z85joNA5DiOP1VV1T9yHIdA5DiOP3Icxz+rqopA5DiOP47juD/kOI5A\\n5DiOP6uqqj8cx5FA5DiOP8dxnD9VVZVA5DiOP+Q4jj+O45hA5DiOPwAAgD/HcZxA5DiOPzmO\\nYz8AAKBA5DiOP3IcRz85jqNA5DiOP6uqKj9yHKdA5DiOP+Q4Dj+rqqpA5DiOPzmO4z7kOK5A\\n5DiOP6uqqj4cx7FA5DiOPzmOYz5VVbVA5DiOPzmO4z2O47hA5DiOPwAAAADHcbxA5DiOPzmO\\n470AAMBA5DiOPzmOY745jsNA5DiOP6uqqr5yHMdA5DiOPzmO476rqspA5DiOP+Q4Dr/kOM5A\\n5DiOP6uqKr8cx9FA5DiOP3IcR79VVdVA5DiOPzmOY7+O49hA5DiOPwAAgL/HcdxA5DiOPwAA\\nwH8AAOBA5DiOPwAAwH85juNA5DiOPwAAwH9yHOdA5DiOPwAAwH+rqupA5DiOPwAAwH/kOO5A\\n5DiOPwAAwH8cx/FA5DiOPwAAwH9VVfVA5DiOPwAAwH+O4/hA5DiOPwAAwH/HcfxA5DiOPwAA\\nwH8AAABB5DiOPwAAwH8cxwFB5DiOPwAAwH85jgNB5DiOPwAAwH9VVQVB5DiOPwAAwH9yHAdB\\n5DiOPwAAwH+O4whB5DiOPwAAwH+rqgpB5DiOPwAAwH/HcQxB5DiOPwAAwH/kOA5B5DiOPwAA\\nwH8AABBB5DiOPwAAwH8cxxFB5DiOPwAAwH85jhNB5DiOPwAAwH9VVRVB5DiOPwAAwH9yHBdB\\n5DiOPwAAwH+O4xhB5DiOPwAAwH+rqhpB5DiOPwAAwH/HcRxB5DiOPwAAwH/kOB5B5DiOPwAA\\nwH8AACBB5DiOPwAAwH8AAIC/x3GcPxzH0UA5jmO/x3GcP+Q4zkByHEe/x3GcP6uqykCrqiq/\\nx3GcP3Icx0DkOA6/x3GcPzmOw0A5juO+x3GcPwAAwECrqqq+x3GcP8dxvEA5jmO+x3GcP47j\\nuEA5juO9x3GcP1VVtUAAAAAAx3GcPxzHsUA5juM9x3GcP+Q4rkA5jmM+x3GcP6uqqkCrqqo+\\nx3GcP3Icp0A5juM+x3GcPzmOo0DkOA4/x3GcPwAAoECrqio/x3GcP8dxnEByHEc/x3GcP47j\\nmEA5jmM/x3GcP1VVlUAAAIA/x3GcPxzHkUDkOI4/x3GcP+Q4jkDHcZw/x3GcP6uqikCrqqo/\\nx3GcP3Ich0CO47g/x3GcPzmOg0ByHMc/x3GcPwAAgEBVVdU/x3GcP47jeEA5juM/x3GcPxzH\\ncUAcx/E/x3GcP6uqakAAAABAx3GcPzmOY0ByHAdAx3GcP8dxXEDkOA5Ax3GcP1VVVUBVVRVA\\nx3GcP+Q4TkDHcRxAx3GcP3IcR0A5jiNAx3GcPwAAQECrqipAx3GcP47jOEAcxzFAx3GcPxzH\\nMUCO4zhAx3GcP6uqKkAAAEBAx3GcPzmOI0ByHEdAx3GcP8dxHEDkOE5Ax3GcP1VVFUBVVVVA\\nx3GcP+Q4DkDHcVxAx3GcP3IcB0A5jmNAx3GcPwAAAECrqmpAx3GcPxzH8T8cx3FAx3GcPzmO\\n4z+O43hAx3GcP1VV1T8AAIBAx3GcP3Icxz85joNAx3GcP47juD9yHIdAx3GcP6uqqj+rqopA\\nx3GcP8dxnD/kOI5Ax3GcP+Q4jj8cx5FAx3GcPwAAgD9VVZVAx3GcPzmOYz+O45hAx3GcP3Ic\\nRz/HcZxAx3GcP6uqKj8AAKBAx3GcP+Q4Dj85jqNAx3GcPzmO4z5yHKdAx3GcP6uqqj6rqqpA\\nx3GcPzmOYz7kOK5Ax3GcPzmO4z0cx7FAx3GcPwAAAABVVbVAx3GcPzmO472O47hAx3GcPzmO\\nY77HcbxAx3GcP6uqqr4AAMBAx3GcPzmO4745jsNAx3GcP+Q4Dr9yHMdAx3GcP6uqKr+rqspA\\nx3GcP3IcR7/kOM5Ax3GcPzmOY78cx9FAx3GcPwAAgL9VVdVAx3GcPwAAwH+O49hAx3GcPwAA\\nwH/HcdxAx3GcPwAAwH8AAOBAx3GcPwAAwH85juNAx3GcPwAAwH9yHOdAx3GcPwAAwH+rqupA\\nx3GcPwAAwH/kOO5Ax3GcPwAAwH8cx/FAx3GcPwAAwH9VVfVAx3GcPwAAwH+O4/hAx3GcPwAA\\nwH/HcfxAx3GcPwAAwH8AAABBx3GcPwAAwH8cxwFBx3GcPwAAwH85jgNBx3GcPwAAwH9VVQVB\\nx3GcPwAAwH9yHAdBx3GcPwAAwH+O4whBx3GcPwAAwH+rqgpBx3GcPwAAwH/HcQxBx3GcPwAA\\nwH/kOA5Bx3GcPwAAwH8AABBBx3GcPwAAwH8cxxFBx3GcPwAAwH85jhNBx3GcPwAAwH9VVRVB\\nx3GcPwAAwH9yHBdBx3GcPwAAwH+O4xhBx3GcPwAAwH+rqhpBx3GcPwAAwH/HcRxBx3GcPwAA\\nwH/kOB5Bx3GcPwAAwH8AACBBx3GcPwAAwH8AAIC/q6qqP6uqykA5jmO/q6qqP3Icx0ByHEe/\\nq6qqPzmOw0Crqiq/q6qqPwAAwEDkOA6/q6qqP8dxvEA5juO+q6qqP47juECrqqq+q6qqP1VV\\ntUA5jmO+q6qqPxzHsUA5juO9q6qqP+Q4rkAAAAAAq6qqP6uqqkA5juM9q6qqP3Icp0A5jmM+\\nq6qqPzmOo0Crqqo+q6qqPwAAoEA5juM+q6qqP8dxnEDkOA4/q6qqP47jmECrqio/q6qqP1VV\\nlUByHEc/q6qqPxzHkUA5jmM/q6qqP+Q4jkAAAIA/q6qqP6uqikDkOI4/q6qqP3Ich0DHcZw/\\nq6qqPzmOg0Crqqo/q6qqPwAAgECO47g/q6qqP47jeEByHMc/q6qqPxzHcUBVVdU/q6qqP6uq\\nakA5juM/q6qqPzmOY0Acx/E/q6qqP8dxXEAAAABAq6qqP1VVVUByHAdAq6qqP+Q4TkDkOA5A\\nq6qqP3IcR0BVVRVAq6qqPwAAQEDHcRxAq6qqP47jOEA5jiNAq6qqPxzHMUCrqipAq6qqP6uq\\nKkAcxzFAq6qqPzmOI0CO4zhAq6qqP8dxHEAAAEBAq6qqP1VVFUByHEdAq6qqP+Q4DkDkOE5A\\nq6qqP3IcB0BVVVVAq6qqPwAAAEDHcVxAq6qqPxzH8T85jmNAq6qqPzmO4z+rqmpAq6qqP1VV\\n1T8cx3FAq6qqP3Icxz+O43hAq6qqP47juD8AAIBAq6qqP6uqqj85joNAq6qqP8dxnD9yHIdA\\nq6qqP+Q4jj+rqopAq6qqPwAAgD/kOI5Aq6qqPzmOYz8cx5FAq6qqP3IcRz9VVZVAq6qqP6uq\\nKj+O45hAq6qqP+Q4Dj/HcZxAq6qqPzmO4z4AAKBAq6qqP6uqqj45jqNAq6qqPzmOYz5yHKdA\\nq6qqPzmO4z2rqqpAq6qqPwAAgCbkOK5Aq6qqPzmO470cx7FAq6qqPzmOY75VVbVAq6qqP6uq\\nqr6O47hAq6qqPzmO477HcbxAq6qqP+Q4Dr8AAMBAq6qqP6uqKr85jsNAq6qqP3IcR79yHMdA\\nq6qqPzmOY7+rqspAq6qqPwAAgL/kOM5Aq6qqPwAAwH8cx9FAq6qqPwAAwH9VVdVAq6qqPwAA\\nwH+O49hAq6qqPwAAwH/HcdxAq6qqPwAAwH8AAOBAq6qqPwAAwH85juNAq6qqPwAAwH9yHOdA\\nq6qqPwAAwH+rqupAq6qqPwAAwH/kOO5Aq6qqPwAAwH8cx/FAq6qqPwAAwH9VVfVAq6qqPwAA\\nwH+O4/hAq6qqPwAAwH/HcfxAq6qqPwAAwH8AAABBq6qqPwAAwH8cxwFBq6qqPwAAwH85jgNB\\nq6qqPwAAwH9VVQVBq6qqPwAAwH9yHAdBq6qqPwAAwH+O4whBq6qqPwAAwH+rqgpBq6qqPwAA\\nwH/HcQxBq6qqPwAAwH/kOA5Bq6qqPwAAwH8AABBBq6qqPwAAwH8cxxFBq6qqPwAAwH85jhNB\\nq6qqPwAAwH9VVRVBq6qqPwAAwH9yHBdBq6qqPwAAwH+O4xhBq6qqPwAAwH+rqhpBq6qqPwAA\\nwH/HcRxBq6qqPwAAwH/kOB5Bq6qqPwAAwH8AACBBq6qqPwAAwH8AAIC/juO4PzmOw0A5jmO/\\njuO4PwAAwEByHEe/juO4P8dxvECrqiq/juO4P47juEDkOA6/juO4P1VVtUA5juO+juO4PxzH\\nsUCrqqq+juO4P+Q4rkA5jmO+juO4P6uqqkA5juO9juO4P3Icp0AAAAAAjuO4PzmOo0A5juM9\\njuO4PwAAoEA5jmM+juO4P8dxnECrqqo+juO4P47jmEA5juM+juO4P1VVlUDkOA4/juO4PxzH\\nkUCrqio/juO4P+Q4jkByHEc/juO4P6uqikA5jmM/juO4P3Ich0AAAIA/juO4PzmOg0DkOI4/\\njuO4PwAAgEDHcZw/juO4P47jeECrqqo/juO4PxzHcUCO47g/juO4P6uqakByHMc/juO4PzmO\\nY0BVVdU/juO4P8dxXEA5juM/juO4P1VVVUAcx/E/juO4P+Q4TkAAAABAjuO4P3IcR0ByHAdA\\njuO4PwAAQEDkOA5AjuO4P47jOEBVVRVAjuO4PxzHMUDHcRxAjuO4P6uqKkA5jiNAjuO4PzmO\\nI0CrqipAjuO4P8dxHEAcxzFAjuO4P1VVFUCO4zhAjuO4P+Q4DkAAAEBAjuO4P3IcB0ByHEdA\\njuO4PwAAAEDkOE5AjuO4PxzH8T9VVVVAjuO4PzmO4z/HcVxAjuO4P1VV1T85jmNAjuO4P3Ic\\nxz+rqmpAjuO4P47juD8cx3FAjuO4P6uqqj+O43hAjuO4P8dxnD8AAIBAjuO4P+Q4jj85joNA\\njuO4PwAAgD9yHIdAjuO4PzmOYz+rqopAjuO4P3IcRz/kOI5AjuO4P6uqKj8cx5FAjuO4P+Q4\\nDj9VVZVAjuO4PzmO4z6O45hAjuO4P6uqqj7HcZxAjuO4PzmOYz4AAKBAjuO4PzmO4z05jqNA\\njuO4PwAAgCZyHKdAjuO4PzmO472rqqpAjuO4PzmOY77kOK5AjuO4P6uqqr4cx7FAjuO4PzmO\\n475VVbVAjuO4P+Q4Dr+O47hAjuO4P6uqKr/HcbxAjuO4P3IcR78AAMBAjuO4PzmOY785jsNA\\njuO4PwAAgL9yHMdAjuO4PwAAwH+rqspAjuO4PwAAwH/kOM5AjuO4PwAAwH8cx9FAjuO4PwAA\\nwH9VVdVAjuO4PwAAwH+O49hAjuO4PwAAwH/HcdxAjuO4PwAAwH8AAOBAjuO4PwAAwH85juNA\\njuO4PwAAwH9yHOdAjuO4PwAAwH+rqupAjuO4PwAAwH/kOO5AjuO4PwAAwH8cx/FAjuO4PwAA\\nwH9VVfVAjuO4PwAAwH+O4/hAjuO4PwAAwH/HcfxAjuO4PwAAwH8AAABBjuO4PwAAwH8cxwFB\\njuO4PwAAwH85jgNBjuO4PwAAwH9VVQVBjuO4PwAAwH9yHAdBjuO4PwAAwH+O4whBjuO4PwAA\\nwH+rqgpBjuO4PwAAwH/HcQxBjuO4PwAAwH/kOA5BjuO4PwAAwH8AABBBjuO4PwAAwH8cxxFB\\njuO4PwAAwH85jhNBjuO4PwAAwH9VVRVBjuO4PwAAwH9yHBdBjuO4PwAAwH+O4xhBjuO4PwAA\\nwH+rqhpBjuO4PwAAwH/HcRxBjuO4PwAAwH/kOB5BjuO4PwAAwH8AACBBjuO4PwAAwH8AAIC/\\nchzHP8dxvEA5jmO/chzHP47juEByHEe/chzHP1VVtUCrqiq/chzHPxzHsUDkOA6/chzHP+Q4\\nrkA5juO+chzHP6uqqkCrqqq+chzHP3Icp0A5jmO+chzHPzmOo0A5juO9chzHPwAAoEAAAAAA\\nchzHP8dxnEA5juM9chzHP47jmEA5jmM+chzHP1VVlUCrqqo+chzHPxzHkUA5juM+chzHP+Q4\\njkDkOA4/chzHP6uqikCrqio/chzHP3Ich0ByHEc/chzHPzmOg0A5jmM/chzHPwAAgEAAAIA/\\nchzHP47jeEDkOI4/chzHPxzHcUDHcZw/chzHP6uqakCrqqo/chzHPzmOY0CO47g/chzHP8dx\\nXEByHMc/chzHP1VVVUBVVdU/chzHP+Q4TkA5juM/chzHP3IcR0Acx/E/chzHPwAAQEAAAABA\\nchzHP47jOEByHAdAchzHPxzHMUDkOA5AchzHP6uqKkBVVRVAchzHPzmOI0DHcRxAchzHP8dx\\nHEA5jiNAchzHP1VVFUCrqipAchzHP+Q4DkAcxzFAchzHP3IcB0CO4zhAchzHPwAAAEAAAEBA\\nchzHPxzH8T9yHEdAchzHPzmO4z/kOE5AchzHP1VV1T9VVVVAchzHP3Icxz/HcVxAchzHP47j\\nuD85jmNAchzHP6uqqj+rqmpAchzHP8dxnD8cx3FAchzHP+Q4jj+O43hAchzHPwAAgD8AAIBA\\nchzHPzmOYz85joNAchzHP3IcRz9yHIdAchzHP6uqKj+rqopAchzHP+Q4Dj/kOI5AchzHPzmO\\n4z4cx5FAchzHP6uqqj5VVZVAchzHPzmOYz6O45hAchzHPzmO4z3HcZxAchzHPwAAgCYAAKBA\\nchzHPzmO4705jqNAchzHPzmOY75yHKdAchzHP6uqqr6rqqpAchzHPzmO477kOK5AchzHP+Q4\\nDr8cx7FAchzHP6uqKr9VVbVAchzHP3IcR7+O47hAchzHPzmOY7/HcbxAchzHPwAAgL8AAMBA\\nchzHPwAAwH85jsNAchzHPwAAwH9yHMdAchzHPwAAwH+rqspAchzHPwAAwH/kOM5AchzHPwAA\\nwH8cx9FAchzHPwAAwH9VVdVAchzHPwAAwH+O49hAchzHPwAAwH/HcdxAchzHPwAAwH8AAOBA\\nchzHPwAAwH85juNAchzHPwAAwH9yHOdAchzHPwAAwH+rqupAchzHPwAAwH/kOO5AchzHPwAA\\nwH8cx/FAchzHPwAAwH9VVfVAchzHPwAAwH+O4/hAchzHPwAAwH/HcfxAchzHPwAAwH8AAABB\\nchzHPwAAwH8cxwFBchzHPwAAwH85jgNBchzHPwAAwH9VVQVBchzHPwAAwH9yHAdBchzHPwAA\\nwH+O4whBchzHPwAAwH+rqgpBchzHPwAAwH/HcQxBchzHPwAAwH/kOA5BchzHPwAAwH8AABBB\\nchzHPwAAwH8cxxFBchzHPwAAwH85jhNBchzHPwAAwH9VVRVBchzHPwAAwH9yHBdBchzHPwAA\\nwH+O4xhBchzHPwAAwH+rqhpBchzHPwAAwH/HcRxBchzHPwAAwH/kOB5BchzHPwAAwH8AACBB\\nchzHPwAAwH8AAIC/VVXVP1VVtUA5jmO/VVXVPxzHsUByHEe/VVXVP+Q4rkCrqiq/VVXVP6uq\\nqkDkOA6/VVXVP3Icp0A5juO+VVXVPzmOo0Crqqq+VVXVPwAAoEA5jmO+VVXVP8dxnEA5juO9\\nVVXVP47jmEAAAAAAVVXVP1VVlUA5juM9VVXVPxzHkUA5jmM+VVXVP+Q4jkCrqqo+VVXVP6uq\\nikA5juM+VVXVP3Ich0DkOA4/VVXVPzmOg0Crqio/VVXVPwAAgEByHEc/VVXVP47jeEA5jmM/\\nVVXVPxzHcUAAAIA/VVXVP6uqakDkOI4/VVXVPzmOY0DHcZw/VVXVP8dxXECrqqo/VVXVP1VV\\nVUCO47g/VVXVP+Q4TkByHMc/VVXVP3IcR0BVVdU/VVXVPwAAQEA5juM/VVXVP47jOEAcx/E/\\nVVXVPxzHMUAAAABAVVXVP6uqKkByHAdAVVXVPzmOI0DkOA5AVVXVP8dxHEBVVRVAVVXVP1VV\\nFUDHcRxAVVXVP+Q4DkA5jiNAVVXVP3IcB0CrqipAVVXVPwAAAEAcxzFAVVXVPxzH8T+O4zhA\\nVVXVPzmO4z8AAEBAVVXVP1VV1T9yHEdAVVXVP3Icxz/kOE5AVVXVP47juD9VVVVAVVXVP6uq\\nqj/HcVxAVVXVP8dxnD85jmNAVVXVP+Q4jj+rqmpAVVXVPwAAgD8cx3FAVVXVPzmOYz+O43hA\\nVVXVP3IcRz8AAIBAVVXVP6uqKj85joNAVVXVP+Q4Dj9yHIdAVVXVPzmO4z6rqopAVVXVP6uq\\nqj7kOI5AVVXVPzmOYz4cx5FAVVXVPzmO4z1VVZVAVVXVPwAAgCaO45hAVVXVPzmO473HcZxA\\nVVXVPzmOY74AAKBAVVXVP6uqqr45jqNAVVXVPzmO475yHKdAVVXVP+Q4Dr+rqqpAVVXVP6uq\\nKr/kOK5AVVXVP3IcR78cx7FAVVXVPzmOY79VVbVAVVXVPwAAgL+O47hAVVXVPwAAwH/HcbxA\\nVVXVPwAAwH8AAMBAVVXVPwAAwH85jsNAVVXVPwAAwH9yHMdAVVXVPwAAwH+rqspAVVXVPwAA\\nwH/kOM5AVVXVPwAAwH8cx9FAVVXVPwAAwH9VVdVAVVXVPwAAwH+O49hAVVXVPwAAwH/HcdxA\\nVVXVPwAAwH8AAOBAVVXVPwAAwH85juNAVVXVPwAAwH9yHOdAVVXVPwAAwH+rqupAVVXVPwAA\\nwH/kOO5AVVXVPwAAwH8cx/FAVVXVPwAAwH9VVfVAVVXVPwAAwH+O4/hAVVXVPwAAwH/HcfxA\\nVVXVPwAAwH8AAABBVVXVPwAAwH8cxwFBVVXVPwAAwH85jgNBVVXVPwAAwH9VVQVBVVXVPwAA\\nwH9yHAdBVVXVPwAAwH+O4whBVVXVPwAAwH+rqgpBVVXVPwAAwH/HcQxBVVXVPwAAwH/kOA5B\\nVVXVPwAAwH8AABBBVVXVPwAAwH8cxxFBVVXVPwAAwH85jhNBVVXVPwAAwH9VVRVBVVXVPwAA\\nwH9yHBdBVVXVPwAAwH+O4xhBVVXVPwAAwH+rqhpBVVXVPwAAwH/HcRxBVVXVPwAAwH/kOB5B\\nVVXVPwAAwH8AACBBVVXVPwAAwH8AAIC/OY7jP+Q4rkA5jmO/OY7jP6uqqkByHEe/OY7jP3Ic\\np0Crqiq/OY7jPzmOo0DkOA6/OY7jPwAAoEA5juO+OY7jP8dxnECrqqq+OY7jP47jmEA5jmO+\\nOY7jP1VVlUA5juO9OY7jPxzHkUAAAAAAOY7jP+Q4jkA5juM9OY7jP6uqikA5jmM+OY7jP3Ic\\nh0Crqqo+OY7jPzmOg0A5juM+OY7jPwAAgEDkOA4/OY7jP47jeECrqio/OY7jPxzHcUByHEc/\\nOY7jP6uqakA5jmM/OY7jPzmOY0AAAIA/OY7jP8dxXEDkOI4/OY7jP1VVVUDHcZw/OY7jP+Q4\\nTkCrqqo/OY7jP3IcR0CO47g/OY7jPwAAQEByHMc/OY7jP47jOEBVVdU/OY7jPxzHMUA5juM/\\nOY7jP6uqKkAcx/E/OY7jPzmOI0AAAABAOY7jP8dxHEByHAdAOY7jP1VVFUDkOA5AOY7jP+Q4\\nDkBVVRVAOY7jP3IcB0DHcRxAOY7jPwAAAEA5jiNAOY7jPxzH8T+rqipAOY7jPzmO4z8cxzFA\\nOY7jP1VV1T+O4zhAOY7jP3Icxz8AAEBAOY7jP47juD9yHEdAOY7jP6uqqj/kOE5AOY7jP8dx\\nnD9VVVVAOY7jP+Q4jj/HcVxAOY7jPwAAgD85jmNAOY7jPzmOYz+rqmpAOY7jP3IcRz8cx3FA\\nOY7jP6uqKj+O43hAOY7jP+Q4Dj8AAIBAOY7jPzmO4z45joNAOY7jP6uqqj5yHIdAOY7jPzmO\\nYz6rqopAOY7jPzmO4z3kOI5AOY7jPwAAgCYcx5FAOY7jPzmO471VVZVAOY7jPzmOY76O45hA\\nOY7jP6uqqr7HcZxAOY7jPzmO474AAKBAOY7jP+Q4Dr85jqNAOY7jP6uqKr9yHKdAOY7jP3Ic\\nR7+rqqpAOY7jPzmOY7/kOK5AOY7jPwAAgL8cx7FAOY7jPwAAwH9VVbVAOY7jPwAAwH+O47hA\\nOY7jPwAAwH/HcbxAOY7jPwAAwH8AAMBAOY7jPwAAwH85jsNAOY7jPwAAwH9yHMdAOY7jPwAA\\nwH+rqspAOY7jPwAAwH/kOM5AOY7jPwAAwH8cx9FAOY7jPwAAwH9VVdVAOY7jPwAAwH+O49hA\\nOY7jPwAAwH/HcdxAOY7jPwAAwH8AAOBAOY7jPwAAwH85juNAOY7jPwAAwH9yHOdAOY7jPwAA\\nwH+rqupAOY7jPwAAwH/kOO5AOY7jPwAAwH8cx/FAOY7jPwAAwH9VVfVAOY7jPwAAwH+O4/hA\\nOY7jPwAAwH/HcfxAOY7jPwAAwH8AAABBOY7jPwAAwH8cxwFBOY7jPwAAwH85jgNBOY7jPwAA\\nwH9VVQVBOY7jPwAAwH9yHAdBOY7jPwAAwH+O4whBOY7jPwAAwH+rqgpBOY7jPwAAwH/HcQxB\\nOY7jPwAAwH/kOA5BOY7jPwAAwH8AABBBOY7jPwAAwH8cxxFBOY7jPwAAwH85jhNBOY7jPwAA\\nwH9VVRVBOY7jPwAAwH9yHBdBOY7jPwAAwH+O4xhBOY7jPwAAwH+rqhpBOY7jPwAAwH/HcRxB\\nOY7jPwAAwH/kOB5BOY7jPwAAwH8AACBBOY7jPwAAwH8AAIC/HMfxP3Icp0A5jmO/HMfxPzmO\\no0ByHEe/HMfxPwAAoECrqiq/HMfxP8dxnEDkOA6/HMfxP47jmEA5juO+HMfxP1VVlUCrqqq+\\nHMfxPxzHkUA5jmO+HMfxP+Q4jkA5juO9HMfxP6uqikAAAAAAHMfxP3Ich0A5juM9HMfxPzmO\\ng0A5jmM+HMfxPwAAgECrqqo+HMfxP47jeEA5juM+HMfxPxzHcUDkOA4/HMfxP6uqakCrqio/\\nHMfxPzmOY0ByHEc/HMfxP8dxXEA5jmM/HMfxP1VVVUAAAIA/HMfxP+Q4TkDkOI4/HMfxP3Ic\\nR0DHcZw/HMfxPwAAQECrqqo/HMfxP47jOECO47g/HMfxPxzHMUByHMc/HMfxP6uqKkBVVdU/\\nHMfxPzmOI0A5juM/HMfxP8dxHEAcx/E/HMfxP1VVFUAAAABAHMfxP+Q4DkByHAdAHMfxP3Ic\\nB0DkOA5AHMfxPwAAAEBVVRVAHMfxPxzH8T/HcRxAHMfxPzmO4z85jiNAHMfxP1VV1T+rqipA\\nHMfxP3Icxz8cxzFAHMfxP47juD+O4zhAHMfxP6uqqj8AAEBAHMfxP8dxnD9yHEdAHMfxP+Q4\\njj/kOE5AHMfxPwAAgD9VVVVAHMfxPzmOYz/HcVxAHMfxP3IcRz85jmNAHMfxP6uqKj+rqmpA\\nHMfxP+Q4Dj8cx3FAHMfxPzmO4z6O43hAHMfxP6uqqj4AAIBAHMfxPzmOYz45joNAHMfxPzmO\\n4z1yHIdAHMfxPwAAAACrqopAHMfxPzmO473kOI5AHMfxPzmOY74cx5FAHMfxP6uqqr5VVZVA\\nHMfxPzmO476O45hAHMfxP+Q4Dr/HcZxAHMfxP6uqKr8AAKBAHMfxP3IcR785jqNAHMfxPzmO\\nY79yHKdAHMfxPwAAgL+rqqpAHMfxPwAAwH/kOK5AHMfxPwAAwH8cx7FAHMfxPwAAwH9VVbVA\\nHMfxPwAAwH+O47hAHMfxPwAAwH/HcbxAHMfxPwAAwH8AAMBAHMfxPwAAwH85jsNAHMfxPwAA\\nwH9yHMdAHMfxPwAAwH+rqspAHMfxPwAAwH/kOM5AHMfxPwAAwH8cx9FAHMfxPwAAwH9VVdVA\\nHMfxPwAAwH+O49hAHMfxPwAAwH/HcdxAHMfxPwAAwH8AAOBAHMfxPwAAwH85juNAHMfxPwAA\\nwH9yHOdAHMfxPwAAwH+rqupAHMfxPwAAwH/kOO5AHMfxPwAAwH8cx/FAHMfxPwAAwH9VVfVA\\nHMfxPwAAwH+O4/hAHMfxPwAAwH/HcfxAHMfxPwAAwH8AAABBHMfxPwAAwH8cxwFBHMfxPwAA\\nwH85jgNBHMfxPwAAwH9VVQVBHMfxPwAAwH9yHAdBHMfxPwAAwH+O4whBHMfxPwAAwH+rqgpB\\nHMfxPwAAwH/HcQxBHMfxPwAAwH/kOA5BHMfxPwAAwH8AABBBHMfxPwAAwH8cxxFBHMfxPwAA\\nwH85jhNBHMfxPwAAwH9VVRVBHMfxPwAAwH9yHBdBHMfxPwAAwH+O4xhBHMfxPwAAwH+rqhpB\\nHMfxPwAAwH/HcRxBHMfxPwAAwH/kOB5BHMfxPwAAwH8AACBBHMfxPwAAwH8AAIC/AAAAQAAA\\noEA5jmO/AAAAQMdxnEByHEe/AAAAQI7jmECrqiq/AAAAQFVVlUDkOA6/AAAAQBzHkUA5juO+\\nAAAAQOQ4jkCrqqq+AAAAQKuqikA5jmO+AAAAQHIch0A5juO9AAAAQDmOg0AAAAAAAAAAQAAA\\ngEA5juM9AAAAQI7jeEA5jmM+AAAAQBzHcUCrqqo+AAAAQKuqakA5juM+AAAAQDmOY0DkOA4/\\nAAAAQMdxXECrqio/AAAAQFVVVUByHEc/AAAAQOQ4TkA5jmM/AAAAQHIcR0AAAIA/AAAAQAAA\\nQEDkOI4/AAAAQI7jOEDHcZw/AAAAQBzHMUCrqqo/AAAAQKuqKkCO47g/AAAAQDmOI0ByHMc/\\nAAAAQMdxHEBVVdU/AAAAQFVVFUA5juM/AAAAQOQ4DkAcx/E/AAAAQHIcB0AAAABAAAAAQAAA\\nAEByHAdAAAAAQBzH8T/kOA5AAAAAQDmO4z9VVRVAAAAAQFVV1T/HcRxAAAAAQHIcxz85jiNA\\nAAAAQI7juD+rqipAAAAAQKuqqj8cxzFAAAAAQMdxnD+O4zhAAAAAQOQ4jj8AAEBAAAAAQAAA\\ngD9yHEdAAAAAQDmOYz/kOE5AAAAAQHIcRz9VVVVAAAAAQKuqKj/HcVxAAAAAQOQ4Dj85jmNA\\nAAAAQDmO4z6rqmpAAAAAQKuqqj4cx3FAAAAAQDmOYz6O43hAAAAAQDmO4z0AAIBAAAAAQAAA\\nAAA5joNAAAAAQDmO471yHIdAAAAAQDmOY76rqopAAAAAQKuqqr7kOI5AAAAAQDmO474cx5FA\\nAAAAQOQ4Dr9VVZVAAAAAQKuqKr+O45hAAAAAQHIcR7/HcZxAAAAAQDmOY78AAKBAAAAAQAAA\\ngL85jqNAAAAAQAAAwH9yHKdAAAAAQAAAwH+rqqpAAAAAQAAAwH/kOK5AAAAAQAAAwH8cx7FA\\nAAAAQAAAwH9VVbVAAAAAQAAAwH+O47hAAAAAQAAAwH/HcbxAAAAAQAAAwH8AAMBAAAAAQAAA\\nwH85jsNAAAAAQAAAwH9yHMdAAAAAQAAAwH+rqspAAAAAQAAAwH/kOM5AAAAAQAAAwH8cx9FA\\nAAAAQAAAwH9VVdVAAAAAQAAAwH+O49hAAAAAQAAAwH/HcdxAAAAAQAAAwH8AAOBAAAAAQAAA\\nwH85juNAAAAAQAAAwH9yHOdAAAAAQAAAwH+rqupAAAAAQAAAwH/kOO5AAAAAQAAAwH8cx/FA\\nAAAAQAAAwH9VVfVAAAAAQAAAwH+O4/hAAAAAQAAAwH/HcfxAAAAAQAAAwH8AAABBAAAAQAAA\\nwH8cxwFBAAAAQAAAwH85jgNBAAAAQAAAwH9VVQVBAAAAQAAAwH9yHAdBAAAAQAAAwH+O4whB\\nAAAAQAAAwH+rqgpBAAAAQAAAwH/HcQxBAAAAQAAAwH/kOA5BAAAAQAAAwH8AABBBAAAAQAAA\\nwH8cxxFBAAAAQAAAwH85jhNBAAAAQAAAwH9VVRVBAAAAQAAAwH9yHBdBAAAAQAAAwH+O4xhB\\nAAAAQAAAwH+rqhpBAAAAQAAAwH/HcRxBAAAAQAAAwH/kOB5BAAAAQAAAwH8AACBBAAAAQAAA\\nwH8AAIC/chwHQI7jmEA5jmO/chwHQFVVlUByHEe/chwHQBzHkUCrqiq/chwHQOQ4jkDkOA6/\\nchwHQKuqikA5juO+chwHQHIch0Crqqq+chwHQDmOg0A5jmO+chwHQAAAgEA5juO9chwHQI7j\\neEAAAAAAchwHQBzHcUA5juM9chwHQKuqakA5jmM+chwHQDmOY0Crqqo+chwHQMdxXEA5juM+\\nchwHQFVVVUDkOA4/chwHQOQ4TkCrqio/chwHQHIcR0ByHEc/chwHQAAAQEA5jmM/chwHQI7j\\nOEAAAIA/chwHQBzHMUDkOI4/chwHQKuqKkDHcZw/chwHQDmOI0Crqqo/chwHQMdxHECO47g/\\nchwHQFVVFUByHMc/chwHQOQ4DkBVVdU/chwHQHIcB0A5juM/chwHQAAAAEAcx/E/chwHQBzH\\n8T8AAABAchwHQDmO4z9yHAdAchwHQFVV1T/kOA5AchwHQHIcxz9VVRVAchwHQI7juD/HcRxA\\nchwHQKuqqj85jiNAchwHQMdxnD+rqipAchwHQOQ4jj8cxzFAchwHQAAAgD+O4zhAchwHQDmO\\nYz8AAEBAchwHQHIcRz9yHEdAchwHQKuqKj/kOE5AchwHQOQ4Dj9VVVVAchwHQDmO4z7HcVxA\\nchwHQKuqqj45jmNAchwHQDmOYz6rqmpAchwHQDmO4z0cx3FAchwHQAAAgCaO43hAchwHQDmO\\n470AAIBAchwHQDmOY745joNAchwHQKuqqr5yHIdAchwHQDmO476rqopAchwHQOQ4Dr/kOI5A\\nchwHQKuqKr8cx5FAchwHQHIcR79VVZVAchwHQDmOY7+O45hAchwHQAAAgL/HcZxAchwHQAAA\\nwH8AAKBAchwHQAAAwH85jqNAchwHQAAAwH9yHKdAchwHQAAAwH+rqqpAchwHQAAAwH/kOK5A\\nchwHQAAAwH8cx7FAchwHQAAAwH9VVbVAchwHQAAAwH+O47hAchwHQAAAwH/HcbxAchwHQAAA\\nwH8AAMBAchwHQAAAwH85jsNAchwHQAAAwH9yHMdAchwHQAAAwH+rqspAchwHQAAAwH/kOM5A\\nchwHQAAAwH8cx9FAchwHQAAAwH9VVdVAchwHQAAAwH+O49hAchwHQAAAwH/HcdxAchwHQAAA\\nwH8AAOBAchwHQAAAwH85juNAchwHQAAAwH9yHOdAchwHQAAAwH+rqupAchwHQAAAwH/kOO5A\\nchwHQAAAwH8cx/FAchwHQAAAwH9VVfVAchwHQAAAwH+O4/hAchwHQAAAwH/HcfxAchwHQAAA\\nwH8AAABBchwHQAAAwH8cxwFBchwHQAAAwH85jgNBchwHQAAAwH9VVQVBchwHQAAAwH9yHAdB\\nchwHQAAAwH+O4whBchwHQAAAwH+rqgpBchwHQAAAwH/HcQxBchwHQAAAwH/kOA5BchwHQAAA\\nwH8AABBBchwHQAAAwH8cxxFBchwHQAAAwH85jhNBchwHQAAAwH9VVRVBchwHQAAAwH9yHBdB\\nchwHQAAAwH+O4xhBchwHQAAAwH+rqhpBchwHQAAAwH/HcRxBchwHQAAAwH/kOB5BchwHQAAA\\nwH8AACBBchwHQAAAwH8AAIC/5DgOQBzHkUA5jmO/5DgOQOQ4jkByHEe/5DgOQKuqikCrqiq/\\n5DgOQHIch0DkOA6/5DgOQDmOg0A5juO+5DgOQAAAgECrqqq+5DgOQI7jeEA5jmO+5DgOQBzH\\ncUA5juO95DgOQKuqakAAAAAA5DgOQDmOY0A5juM95DgOQMdxXEA5jmM+5DgOQFVVVUCrqqo+\\n5DgOQOQ4TkA5juM+5DgOQHIcR0DkOA4/5DgOQAAAQECrqio/5DgOQI7jOEByHEc/5DgOQBzH\\nMUA5jmM/5DgOQKuqKkAAAIA/5DgOQDmOI0DkOI4/5DgOQMdxHEDHcZw/5DgOQFVVFUCrqqo/\\n5DgOQOQ4DkCO47g/5DgOQHIcB0ByHMc/5DgOQAAAAEBVVdU/5DgOQBzH8T85juM/5DgOQDmO\\n4z8cx/E/5DgOQFVV1T8AAABA5DgOQHIcxz9yHAdA5DgOQI7juD/kOA5A5DgOQKuqqj9VVRVA\\n5DgOQMdxnD/HcRxA5DgOQOQ4jj85jiNA5DgOQAAAgD+rqipA5DgOQDmOYz8cxzFA5DgOQHIc\\nRz+O4zhA5DgOQKuqKj8AAEBA5DgOQOQ4Dj9yHEdA5DgOQDmO4z7kOE5A5DgOQKuqqj5VVVVA\\n5DgOQDmOYz7HcVxA5DgOQDmO4z05jmNA5DgOQAAAgCarqmpA5DgOQDmO470cx3FA5DgOQDmO\\nY76O43hA5DgOQKuqqr4AAIBA5DgOQDmO4745joNA5DgOQOQ4Dr9yHIdA5DgOQKuqKr+rqopA\\n5DgOQHIcR7/kOI5A5DgOQDmOY78cx5FA5DgOQAAAgL9VVZVA5DgOQAAAwH+O45hA5DgOQAAA\\nwH/HcZxA5DgOQAAAwH8AAKBA5DgOQAAAwH85jqNA5DgOQAAAwH9yHKdA5DgOQAAAwH+rqqpA\\n5DgOQAAAwH/kOK5A5DgOQAAAwH8cx7FA5DgOQAAAwH9VVbVA5DgOQAAAwH+O47hA5DgOQAAA\\nwH/HcbxA5DgOQAAAwH8AAMBA5DgOQAAAwH85jsNA5DgOQAAAwH9yHMdA5DgOQAAAwH+rqspA\\n5DgOQAAAwH/kOM5A5DgOQAAAwH8cx9FA5DgOQAAAwH9VVdVA5DgOQAAAwH+O49hA5DgOQAAA\\nwH/HcdxA5DgOQAAAwH8AAOBA5DgOQAAAwH85juNA5DgOQAAAwH9yHOdA5DgOQAAAwH+rqupA\\n5DgOQAAAwH/kOO5A5DgOQAAAwH8cx/FA5DgOQAAAwH9VVfVA5DgOQAAAwH+O4/hA5DgOQAAA\\nwH/HcfxA5DgOQAAAwH8AAABB5DgOQAAAwH8cxwFB5DgOQAAAwH85jgNB5DgOQAAAwH9VVQVB\\n5DgOQAAAwH9yHAdB5DgOQAAAwH+O4whB5DgOQAAAwH+rqgpB5DgOQAAAwH/HcQxB5DgOQAAA\\nwH/kOA5B5DgOQAAAwH8AABBB5DgOQAAAwH8cxxFB5DgOQAAAwH85jhNB5DgOQAAAwH9VVRVB\\n5DgOQAAAwH9yHBdB5DgOQAAAwH+O4xhB5DgOQAAAwH+rqhpB5DgOQAAAwH/HcRxB5DgOQAAA\\nwH/kOB5B5DgOQAAAwH8AACBB5DgOQAAAwH8AAIC/VVUVQKuqikA5jmO/VVUVQHIch0ByHEe/\\nVVUVQDmOg0Crqiq/VVUVQAAAgEDkOA6/VVUVQI7jeEA5juO+VVUVQBzHcUCrqqq+VVUVQKuq\\nakA5jmO+VVUVQDmOY0A5juO9VVUVQMdxXEAAAAAAVVUVQFVVVUA5juM9VVUVQOQ4TkA5jmM+\\nVVUVQHIcR0Crqqo+VVUVQAAAQEA5juM+VVUVQI7jOEDkOA4/VVUVQBzHMUCrqio/VVUVQKuq\\nKkByHEc/VVUVQDmOI0A5jmM/VVUVQMdxHEAAAIA/VVUVQFVVFUDkOI4/VVUVQOQ4DkDHcZw/\\nVVUVQHIcB0Crqqo/VVUVQAAAAECO47g/VVUVQBzH8T9yHMc/VVUVQDmO4z9VVdU/VVUVQFVV\\n1T85juM/VVUVQHIcxz8cx/E/VVUVQI7juD8AAABAVVUVQKuqqj9yHAdAVVUVQMdxnD/kOA5A\\nVVUVQOQ4jj9VVRVAVVUVQAAAgD/HcRxAVVUVQDmOYz85jiNAVVUVQHIcRz+rqipAVVUVQKuq\\nKj8cxzFAVVUVQOQ4Dj+O4zhAVVUVQDmO4z4AAEBAVVUVQKuqqj5yHEdAVVUVQDmOYz7kOE5A\\nVVUVQDmO4z1VVVVAVVUVQAAAgCbHcVxAVVUVQDmO4705jmNAVVUVQDmOY76rqmpAVVUVQKuq\\nqr4cx3FAVVUVQDmO476O43hAVVUVQOQ4Dr8AAIBAVVUVQKuqKr85joNAVVUVQHIcR79yHIdA\\nVVUVQDmOY7+rqopAVVUVQAAAgL/kOI5AVVUVQAAAwH8cx5FAVVUVQAAAwH9VVZVAVVUVQAAA\\nwH+O45hAVVUVQAAAwH/HcZxAVVUVQAAAwH8AAKBAVVUVQAAAwH85jqNAVVUVQAAAwH9yHKdA\\nVVUVQAAAwH+rqqpAVVUVQAAAwH/kOK5AVVUVQAAAwH8cx7FAVVUVQAAAwH9VVbVAVVUVQAAA\\nwH+O47hAVVUVQAAAwH/HcbxAVVUVQAAAwH8AAMBAVVUVQAAAwH85jsNAVVUVQAAAwH9yHMdA\\nVVUVQAAAwH+rqspAVVUVQAAAwH/kOM5AVVUVQAAAwH8cx9FAVVUVQAAAwH9VVdVAVVUVQAAA\\nwH+O49hAVVUVQAAAwH/HcdxAVVUVQAAAwH8AAOBAVVUVQAAAwH85juNAVVUVQAAAwH9yHOdA\\nVVUVQAAAwH+rqupAVVUVQAAAwH/kOO5AVVUVQAAAwH8cx/FAVVUVQAAAwH9VVfVAVVUVQAAA\\nwH+O4/hAVVUVQAAAwH/HcfxAVVUVQAAAwH8AAABBVVUVQAAAwH8cxwFBVVUVQAAAwH85jgNB\\nVVUVQAAAwH9VVQVBVVUVQAAAwH9yHAdBVVUVQAAAwH+O4whBVVUVQAAAwH+rqgpBVVUVQAAA\\nwH/HcQxBVVUVQAAAwH/kOA5BVVUVQAAAwH8AABBBVVUVQAAAwH8cxxFBVVUVQAAAwH85jhNB\\nVVUVQAAAwH9VVRVBVVUVQAAAwH9yHBdBVVUVQAAAwH+O4xhBVVUVQAAAwH+rqhpBVVUVQAAA\\nwH/HcRxBVVUVQAAAwH/kOB5BVVUVQAAAwH8AACBBVVUVQAAAwH8AAIC/x3EcQDmOg0A5jmO/\\nx3EcQAAAgEByHEe/x3EcQI7jeECrqiq/x3EcQBzHcUDkOA6/x3EcQKuqakA5juO+x3EcQDmO\\nY0Crqqq+x3EcQMdxXEA5jmO+x3EcQFVVVUA5juO9x3EcQOQ4TkAAAAAAx3EcQHIcR0A5juM9\\nx3EcQAAAQEA5jmM+x3EcQI7jOECrqqo+x3EcQBzHMUA5juM+x3EcQKuqKkDkOA4/x3EcQDmO\\nI0Crqio/x3EcQMdxHEByHEc/x3EcQFVVFUA5jmM/x3EcQOQ4DkAAAIA/x3EcQHIcB0DkOI4/\\nx3EcQAAAAEDHcZw/x3EcQBzH8T+rqqo/x3EcQDmO4z+O47g/x3EcQFVV1T9yHMc/x3EcQHIc\\nxz9VVdU/x3EcQI7juD85juM/x3EcQKuqqj8cx/E/x3EcQMdxnD8AAABAx3EcQOQ4jj9yHAdA\\nx3EcQAAAgD/kOA5Ax3EcQDmOYz9VVRVAx3EcQHIcRz/HcRxAx3EcQKuqKj85jiNAx3EcQOQ4\\nDj+rqipAx3EcQDmO4z4cxzFAx3EcQKuqqj6O4zhAx3EcQDmOYz4AAEBAx3EcQDmO4z1yHEdA\\nx3EcQAAAgCbkOE5Ax3EcQDmO471VVVVAx3EcQDmOY77HcVxAx3EcQKuqqr45jmNAx3EcQDmO\\n476rqmpAx3EcQOQ4Dr8cx3FAx3EcQKuqKr+O43hAx3EcQHIcR78AAIBAx3EcQDmOY785joNA\\nx3EcQAAAgL9yHIdAx3EcQAAAwH+rqopAx3EcQAAAwH/kOI5Ax3EcQAAAwH8cx5FAx3EcQAAA\\nwH9VVZVAx3EcQAAAwH+O45hAx3EcQAAAwH/HcZxAx3EcQAAAwH8AAKBAx3EcQAAAwH85jqNA\\nx3EcQAAAwH9yHKdAx3EcQAAAwH+rqqpAx3EcQAAAwH/kOK5Ax3EcQAAAwH8cx7FAx3EcQAAA\\nwH9VVbVAx3EcQAAAwH+O47hAx3EcQAAAwH/HcbxAx3EcQAAAwH8AAMBAx3EcQAAAwH85jsNA\\nx3EcQAAAwH9yHMdAx3EcQAAAwH+rqspAx3EcQAAAwH/kOM5Ax3EcQAAAwH8cx9FAx3EcQAAA\\nwH9VVdVAx3EcQAAAwH+O49hAx3EcQAAAwH/HcdxAx3EcQAAAwH8AAOBAx3EcQAAAwH85juNA\\nx3EcQAAAwH9yHOdAx3EcQAAAwH+rqupAx3EcQAAAwH/kOO5Ax3EcQAAAwH8cx/FAx3EcQAAA\\nwH9VVfVAx3EcQAAAwH+O4/hAx3EcQAAAwH/HcfxAx3EcQAAAwH8AAABBx3EcQAAAwH8cxwFB\\nx3EcQAAAwH85jgNBx3EcQAAAwH9VVQVBx3EcQAAAwH9yHAdBx3EcQAAAwH+O4whBx3EcQAAA\\nwH+rqgpBx3EcQAAAwH/HcQxBx3EcQAAAwH/kOA5Bx3EcQAAAwH8AABBBx3EcQAAAwH8cxxFB\\nx3EcQAAAwH85jhNBx3EcQAAAwH9VVRVBx3EcQAAAwH9yHBdBx3EcQAAAwH+O4xhBx3EcQAAA\\nwH+rqhpBx3EcQAAAwH/HcRxBx3EcQAAAwH/kOB5Bx3EcQAAAwH8AACBBx3EcQAAAwH8AAIC/\\nOY4jQI7jeEA5jmO/OY4jQBzHcUByHEe/OY4jQKuqakCrqiq/OY4jQDmOY0DkOA6/OY4jQMdx\\nXEA5juO+OY4jQFVVVUCrqqq+OY4jQOQ4TkA5jmO+OY4jQHIcR0A5juO9OY4jQAAAQEAAAAAA\\nOY4jQI7jOEA5juM9OY4jQBzHMUA5jmM+OY4jQKuqKkCrqqo+OY4jQDmOI0A5juM+OY4jQMdx\\nHEDkOA4/OY4jQFVVFUCrqio/OY4jQOQ4DkByHEc/OY4jQHIcB0A5jmM/OY4jQAAAAEAAAIA/\\nOY4jQBzH8T/kOI4/OY4jQDmO4z/HcZw/OY4jQFVV1T+rqqo/OY4jQHIcxz+O47g/OY4jQI7j\\nuD9yHMc/OY4jQKuqqj9VVdU/OY4jQMdxnD85juM/OY4jQOQ4jj8cx/E/OY4jQAAAgD8AAABA\\nOY4jQDmOYz9yHAdAOY4jQHIcRz/kOA5AOY4jQKuqKj9VVRVAOY4jQOQ4Dj/HcRxAOY4jQDmO\\n4z45jiNAOY4jQKuqqj6rqipAOY4jQDmOYz4cxzFAOY4jQDmO4z2O4zhAOY4jQAAAAAAAAEBA\\nOY4jQDmO471yHEdAOY4jQDmOY77kOE5AOY4jQKuqqr5VVVVAOY4jQDmO477HcVxAOY4jQOQ4\\nDr85jmNAOY4jQKuqKr+rqmpAOY4jQHIcR78cx3FAOY4jQDmOY7+O43hAOY4jQAAAgL8AAIBA\\nOY4jQAAAwH85joNAOY4jQAAAwH9yHIdAOY4jQAAAwH+rqopAOY4jQAAAwH/kOI5AOY4jQAAA\\nwH8cx5FAOY4jQAAAwH9VVZVAOY4jQAAAwH+O45hAOY4jQAAAwH/HcZxAOY4jQAAAwH8AAKBA\\nOY4jQAAAwH85jqNAOY4jQAAAwH9yHKdAOY4jQAAAwH+rqqpAOY4jQAAAwH/kOK5AOY4jQAAA\\nwH8cx7FAOY4jQAAAwH9VVbVAOY4jQAAAwH+O47hAOY4jQAAAwH/HcbxAOY4jQAAAwH8AAMBA\\nOY4jQAAAwH85jsNAOY4jQAAAwH9yHMdAOY4jQAAAwH+rqspAOY4jQAAAwH/kOM5AOY4jQAAA\\nwH8cx9FAOY4jQAAAwH9VVdVAOY4jQAAAwH+O49hAOY4jQAAAwH/HcdxAOY4jQAAAwH8AAOBA\\nOY4jQAAAwH85juNAOY4jQAAAwH9yHOdAOY4jQAAAwH+rqupAOY4jQAAAwH/kOO5AOY4jQAAA\\nwH8cx/FAOY4jQAAAwH9VVfVAOY4jQAAAwH+O4/hAOY4jQAAAwH/HcfxAOY4jQAAAwH8AAABB\\nOY4jQAAAwH8cxwFBOY4jQAAAwH85jgNBOY4jQAAAwH9VVQVBOY4jQAAAwH9yHAdBOY4jQAAA\\nwH+O4whBOY4jQAAAwH+rqgpBOY4jQAAAwH/HcQxBOY4jQAAAwH/kOA5BOY4jQAAAwH8AABBB\\nOY4jQAAAwH8cxxFBOY4jQAAAwH85jhNBOY4jQAAAwH9VVRVBOY4jQAAAwH9yHBdBOY4jQAAA\\nwH+O4xhBOY4jQAAAwH+rqhpBOY4jQAAAwH/HcRxBOY4jQAAAwH/kOB5BOY4jQAAAwH8AACBB\\nOY4jQAAAwH8AAIC/q6oqQKuqakA5jmO/q6oqQDmOY0ByHEe/q6oqQMdxXECrqiq/q6oqQFVV\\nVUDkOA6/q6oqQOQ4TkA5juO+q6oqQHIcR0Crqqq+q6oqQAAAQEA5jmO+q6oqQI7jOEA5juO9\\nq6oqQBzHMUAAAAAAq6oqQKuqKkA5juM9q6oqQDmOI0A5jmM+q6oqQMdxHECrqqo+q6oqQFVV\\nFUA5juM+q6oqQOQ4DkDkOA4/q6oqQHIcB0Crqio/q6oqQAAAAEByHEc/q6oqQBzH8T85jmM/\\nq6oqQDmO4z8AAIA/q6oqQFVV1T/kOI4/q6oqQHIcxz/HcZw/q6oqQI7juD+rqqo/q6oqQKuq\\nqj+O47g/q6oqQMdxnD9yHMc/q6oqQOQ4jj9VVdU/q6oqQAAAgD85juM/q6oqQDmOYz8cx/E/\\nq6oqQHIcRz8AAABAq6oqQKuqKj9yHAdAq6oqQOQ4Dj/kOA5Aq6oqQDmO4z5VVRVAq6oqQKuq\\nqj7HcRxAq6oqQDmOYz45jiNAq6oqQDmO4z2rqipAq6oqQAAAAAAcxzFAq6oqQDmO472O4zhA\\nq6oqQDmOY74AAEBAq6oqQKuqqr5yHEdAq6oqQDmO477kOE5Aq6oqQOQ4Dr9VVVVAq6oqQKuq\\nKr/HcVxAq6oqQHIcR785jmNAq6oqQDmOY7+rqmpAq6oqQAAAgL8cx3FAq6oqQAAAwH+O43hA\\nq6oqQAAAwH8AAIBAq6oqQAAAwH85joNAq6oqQAAAwH9yHIdAq6oqQAAAwH+rqopAq6oqQAAA\\nwH/kOI5Aq6oqQAAAwH8cx5FAq6oqQAAAwH9VVZVAq6oqQAAAwH+O45hAq6oqQAAAwH/HcZxA\\nq6oqQAAAwH8AAKBAq6oqQAAAwH85jqNAq6oqQAAAwH9yHKdAq6oqQAAAwH+rqqpAq6oqQAAA\\nwH/kOK5Aq6oqQAAAwH8cx7FAq6oqQAAAwH9VVbVAq6oqQAAAwH+O47hAq6oqQAAAwH/HcbxA\\nq6oqQAAAwH8AAMBAq6oqQAAAwH85jsNAq6oqQAAAwH9yHMdAq6oqQAAAwH+rqspAq6oqQAAA\\nwH/kOM5Aq6oqQAAAwH8cx9FAq6oqQAAAwH9VVdVAq6oqQAAAwH+O49hAq6oqQAAAwH/HcdxA\\nq6oqQAAAwH8AAOBAq6oqQAAAwH85juNAq6oqQAAAwH9yHOdAq6oqQAAAwH+rqupAq6oqQAAA\\nwH/kOO5Aq6oqQAAAwH8cx/FAq6oqQAAAwH9VVfVAq6oqQAAAwH+O4/hAq6oqQAAAwH/HcfxA\\nq6oqQAAAwH8AAABBq6oqQAAAwH8cxwFBq6oqQAAAwH85jgNBq6oqQAAAwH9VVQVBq6oqQAAA\\nwH9yHAdBq6oqQAAAwH+O4whBq6oqQAAAwH+rqgpBq6oqQAAAwH/HcQxBq6oqQAAAwH/kOA5B\\nq6oqQAAAwH8AABBBq6oqQAAAwH8cxxFBq6oqQAAAwH85jhNBq6oqQAAAwH9VVRVBq6oqQAAA\\nwH9yHBdBq6oqQAAAwH+O4xhBq6oqQAAAwH+rqhpBq6oqQAAAwH/HcRxBq6oqQAAAwH/kOB5B\\nq6oqQAAAwH8AACBBq6oqQAAAwH8AAIC/HMcxQMdxXEA5jmO/HMcxQFVVVUByHEe/HMcxQOQ4\\nTkCrqiq/HMcxQHIcR0DkOA6/HMcxQAAAQEA5juO+HMcxQI7jOECrqqq+HMcxQBzHMUA5jmO+\\nHMcxQKuqKkA5juO9HMcxQDmOI0AAAAAAHMcxQMdxHEA5juM9HMcxQFVVFUA5jmM+HMcxQOQ4\\nDkCrqqo+HMcxQHIcB0A5juM+HMcxQAAAAEDkOA4/HMcxQBzH8T+rqio/HMcxQDmO4z9yHEc/\\nHMcxQFVV1T85jmM/HMcxQHIcxz8AAIA/HMcxQI7juD/kOI4/HMcxQKuqqj/HcZw/HMcxQMdx\\nnD+rqqo/HMcxQOQ4jj+O47g/HMcxQAAAgD9yHMc/HMcxQDmOYz9VVdU/HMcxQHIcRz85juM/\\nHMcxQKuqKj8cx/E/HMcxQOQ4Dj8AAABAHMcxQDmO4z5yHAdAHMcxQKuqqj7kOA5AHMcxQDmO\\nYz5VVRVAHMcxQDmO4z3HcRxAHMcxQAAAAAA5jiNAHMcxQDmO472rqipAHMcxQDmOY74cxzFA\\nHMcxQKuqqr6O4zhAHMcxQDmO474AAEBAHMcxQOQ4Dr9yHEdAHMcxQKuqKr/kOE5AHMcxQHIc\\nR79VVVVAHMcxQDmOY7/HcVxAHMcxQAAAgL85jmNAHMcxQAAAwH+rqmpAHMcxQAAAwH8cx3FA\\nHMcxQAAAwH+O43hAHMcxQAAAwH8AAIBAHMcxQAAAwH85joNAHMcxQAAAwH9yHIdAHMcxQAAA\\nwH+rqopAHMcxQAAAwH/kOI5AHMcxQAAAwH8cx5FAHMcxQAAAwH9VVZVAHMcxQAAAwH+O45hA\\nHMcxQAAAwH/HcZxAHMcxQAAAwH8AAKBAHMcxQAAAwH85jqNAHMcxQAAAwH9yHKdAHMcxQAAA\\nwH+rqqpAHMcxQAAAwH/kOK5AHMcxQAAAwH8cx7FAHMcxQAAAwH9VVbVAHMcxQAAAwH+O47hA\\nHMcxQAAAwH/HcbxAHMcxQAAAwH8AAMBAHMcxQAAAwH85jsNAHMcxQAAAwH9yHMdAHMcxQAAA\\nwH+rqspAHMcxQAAAwH/kOM5AHMcxQAAAwH8cx9FAHMcxQAAAwH9VVdVAHMcxQAAAwH+O49hA\\nHMcxQAAAwH/HcdxAHMcxQAAAwH8AAOBAHMcxQAAAwH85juNAHMcxQAAAwH9yHOdAHMcxQAAA\\nwH+rqupAHMcxQAAAwH/kOO5AHMcxQAAAwH8cx/FAHMcxQAAAwH9VVfVAHMcxQAAAwH+O4/hA\\nHMcxQAAAwH/HcfxAHMcxQAAAwH8AAABBHMcxQAAAwH8cxwFBHMcxQAAAwH85jgNBHMcxQAAA\\nwH9VVQVBHMcxQAAAwH9yHAdBHMcxQAAAwH+O4whBHMcxQAAAwH+rqgpBHMcxQAAAwH/HcQxB\\nHMcxQAAAwH/kOA5BHMcxQAAAwH8AABBBHMcxQAAAwH8cxxFBHMcxQAAAwH85jhNBHMcxQAAA\\nwH9VVRVBHMcxQAAAwH9yHBdBHMcxQAAAwH+O4xhBHMcxQAAAwH+rqhpBHMcxQAAAwH/HcRxB\\nHMcxQAAAwH/kOB5BHMcxQAAAwH8AACBBHMcxQAAAwH8AAIC/juM4QOQ4TkA5jmO/juM4QHIc\\nR0ByHEe/juM4QAAAQECrqiq/juM4QI7jOEDkOA6/juM4QBzHMUA5juO+juM4QKuqKkCrqqq+\\njuM4QDmOI0A5jmO+juM4QMdxHEA5juO9juM4QFVVFUAAAAAAjuM4QOQ4DkA5juM9juM4QHIc\\nB0A5jmM+juM4QAAAAECrqqo+juM4QBzH8T85juM+juM4QDmO4z/kOA4/juM4QFVV1T+rqio/\\njuM4QHIcxz9yHEc/juM4QI7juD85jmM/juM4QKuqqj8AAIA/juM4QMdxnD/kOI4/juM4QOQ4\\njj/HcZw/juM4QAAAgD+rqqo/juM4QDmOYz+O47g/juM4QHIcRz9yHMc/juM4QKuqKj9VVdU/\\njuM4QOQ4Dj85juM/juM4QDmO4z4cx/E/juM4QKuqqj4AAABAjuM4QDmOYz5yHAdAjuM4QDmO\\n4z3kOA5AjuM4QAAAAABVVRVAjuM4QDmO473HcRxAjuM4QDmOY745jiNAjuM4QKuqqr6rqipA\\njuM4QDmO474cxzFAjuM4QOQ4Dr+O4zhAjuM4QKuqKr8AAEBAjuM4QHIcR79yHEdAjuM4QDmO\\nY7/kOE5AjuM4QAAAgL9VVVVAjuM4QAAAwH/HcVxAjuM4QAAAwH85jmNAjuM4QAAAwH+rqmpA\\njuM4QAAAwH8cx3FAjuM4QAAAwH+O43hAjuM4QAAAwH8AAIBAjuM4QAAAwH85joNAjuM4QAAA\\nwH9yHIdAjuM4QAAAwH+rqopAjuM4QAAAwH/kOI5AjuM4QAAAwH8cx5FAjuM4QAAAwH9VVZVA\\njuM4QAAAwH+O45hAjuM4QAAAwH/HcZxAjuM4QAAAwH8AAKBAjuM4QAAAwH85jqNAjuM4QAAA\\nwH9yHKdAjuM4QAAAwH+rqqpAjuM4QAAAwH/kOK5AjuM4QAAAwH8cx7FAjuM4QAAAwH9VVbVA\\njuM4QAAAwH+O47hAjuM4QAAAwH/HcbxAjuM4QAAAwH8AAMBAjuM4QAAAwH85jsNAjuM4QAAA\\nwH9yHMdAjuM4QAAAwH+rqspAjuM4QAAAwH/kOM5AjuM4QAAAwH8cx9FAjuM4QAAAwH9VVdVA\\njuM4QAAAwH+O49hAjuM4QAAAwH/HcdxAjuM4QAAAwH8AAOBAjuM4QAAAwH85juNAjuM4QAAA\\nwH9yHOdAjuM4QAAAwH+rqupAjuM4QAAAwH/kOO5AjuM4QAAAwH8cx/FAjuM4QAAAwH9VVfVA\\njuM4QAAAwH+O4/hAjuM4QAAAwH/HcfxAjuM4QAAAwH8AAABBjuM4QAAAwH8cxwFBjuM4QAAA\\nwH85jgNBjuM4QAAAwH9VVQVBjuM4QAAAwH9yHAdBjuM4QAAAwH+O4whBjuM4QAAAwH+rqgpB\\njuM4QAAAwH/HcQxBjuM4QAAAwH/kOA5BjuM4QAAAwH8AABBBjuM4QAAAwH8cxxFBjuM4QAAA\\nwH85jhNBjuM4QAAAwH9VVRVBjuM4QAAAwH9yHBdBjuM4QAAAwH+O4xhBjuM4QAAAwH+rqhpB\\njuM4QAAAwH/HcRxBjuM4QAAAwH/kOB5BjuM4QAAAwH8AACBBjuM4QAAAwH8AAIC/AABAQAAA\\nQEA5jmO/AABAQI7jOEByHEe/AABAQBzHMUCrqiq/AABAQKuqKkDkOA6/AABAQDmOI0A5juO+\\nAABAQMdxHECrqqq+AABAQFVVFUA5jmO+AABAQOQ4DkA5juO9AABAQHIcB0AAAAAAAABAQAAA\\nAEA5juM9AABAQBzH8T85jmM+AABAQDmO4z+rqqo+AABAQFVV1T85juM+AABAQHIcxz/kOA4/\\nAABAQI7juD+rqio/AABAQKuqqj9yHEc/AABAQMdxnD85jmM/AABAQOQ4jj8AAIA/AABAQAAA\\ngD/kOI4/AABAQDmOYz/HcZw/AABAQHIcRz+rqqo/AABAQKuqKj+O47g/AABAQOQ4Dj9yHMc/\\nAABAQDmO4z5VVdU/AABAQKuqqj45juM/AABAQDmOYz4cx/E/AABAQDmO4z0AAABAAABAQAAA\\nAAByHAdAAABAQDmO473kOA5AAABAQDmOY75VVRVAAABAQKuqqr7HcRxAAABAQDmO4745jiNA\\nAABAQOQ4Dr+rqipAAABAQKuqKr8cxzFAAABAQHIcR7+O4zhAAABAQDmOY78AAEBAAABAQAAA\\ngL9yHEdAAABAQAAAwH/kOE5AAABAQAAAwH9VVVVAAABAQAAAwH/HcVxAAABAQAAAwH85jmNA\\nAABAQAAAwH+rqmpAAABAQAAAwH8cx3FAAABAQAAAwH+O43hAAABAQAAAwH8AAIBAAABAQAAA\\nwH85joNAAABAQAAAwH9yHIdAAABAQAAAwH+rqopAAABAQAAAwH/kOI5AAABAQAAAwH8cx5FA\\nAABAQAAAwH9VVZVAAABAQAAAwH+O45hAAABAQAAAwH/HcZxAAABAQAAAwH8AAKBAAABAQAAA\\nwH85jqNAAABAQAAAwH9yHKdAAABAQAAAwH+rqqpAAABAQAAAwH/kOK5AAABAQAAAwH8cx7FA\\nAABAQAAAwH9VVbVAAABAQAAAwH+O47hAAABAQAAAwH/HcbxAAABAQAAAwH8AAMBAAABAQAAA\\nwH85jsNAAABAQAAAwH9yHMdAAABAQAAAwH+rqspAAABAQAAAwH/kOM5AAABAQAAAwH8cx9FA\\nAABAQAAAwH9VVdVAAABAQAAAwH+O49hAAABAQAAAwH/HcdxAAABAQAAAwH8AAOBAAABAQAAA\\nwH85juNAAABAQAAAwH9yHOdAAABAQAAAwH+rqupAAABAQAAAwH/kOO5AAABAQAAAwH8cx/FA\\nAABAQAAAwH9VVfVAAABAQAAAwH+O4/hAAABAQAAAwH/HcfxAAABAQAAAwH8AAABBAABAQAAA\\nwH8cxwFBAABAQAAAwH85jgNBAABAQAAAwH9VVQVBAABAQAAAwH9yHAdBAABAQAAAwH+O4whB\\nAABAQAAAwH+rqgpBAABAQAAAwH/HcQxBAABAQAAAwH/kOA5BAABAQAAAwH8AABBBAABAQAAA\\nwH8cxxFBAABAQAAAwH85jhNBAABAQAAAwH9VVRVBAABAQAAAwH9yHBdBAABAQAAAwH+O4xhB\\nAABAQAAAwH+rqhpBAABAQAAAwH/HcRxBAABAQAAAwH/kOB5BAABAQAAAwH8AACBBAABAQAAA\\nwH8AAIC/chxHQBzHMUA5jmO/chxHQKuqKkByHEe/chxHQDmOI0Crqiq/chxHQMdxHEDkOA6/\\nchxHQFVVFUA5juO+chxHQOQ4DkCrqqq+chxHQHIcB0A5jmO+chxHQAAAAEA5juO9chxHQBzH\\n8T8AAAAAchxHQDmO4z85juM9chxHQFVV1T85jmM+chxHQHIcxz+rqqo+chxHQI7juD85juM+\\nchxHQKuqqj/kOA4/chxHQMdxnD+rqio/chxHQOQ4jj9yHEc/chxHQAAAgD85jmM/chxHQDmO\\nYz8AAIA/chxHQHIcRz/kOI4/chxHQKuqKj/HcZw/chxHQOQ4Dj+rqqo/chxHQDmO4z6O47g/\\nchxHQKuqqj5yHMc/chxHQDmOYz5VVdU/chxHQDmO4z05juM/chxHQAAAgCYcx/E/chxHQDmO\\n470AAABAchxHQDmOY75yHAdAchxHQKuqqr7kOA5AchxHQDmO475VVRVAchxHQOQ4Dr/HcRxA\\nchxHQKuqKr85jiNAchxHQHIcR7+rqipAchxHQDmOY78cxzFAchxHQAAAgL+O4zhAchxHQAAA\\nwH8AAEBAchxHQAAAwH9yHEdAchxHQAAAwH/kOE5AchxHQAAAwH9VVVVAchxHQAAAwH/HcVxA\\nchxHQAAAwH85jmNAchxHQAAAwH+rqmpAchxHQAAAwH8cx3FAchxHQAAAwH+O43hAchxHQAAA\\nwH8AAIBAchxHQAAAwH85joNAchxHQAAAwH9yHIdAchxHQAAAwH+rqopAchxHQAAAwH/kOI5A\\nchxHQAAAwH8cx5FAchxHQAAAwH9VVZVAchxHQAAAwH+O45hAchxHQAAAwH/HcZxAchxHQAAA\\nwH8AAKBAchxHQAAAwH85jqNAchxHQAAAwH9yHKdAchxHQAAAwH+rqqpAchxHQAAAwH/kOK5A\\nchxHQAAAwH8cx7FAchxHQAAAwH9VVbVAchxHQAAAwH+O47hAchxHQAAAwH/HcbxAchxHQAAA\\nwH8AAMBAchxHQAAAwH85jsNAchxHQAAAwH9yHMdAchxHQAAAwH+rqspAchxHQAAAwH/kOM5A\\nchxHQAAAwH8cx9FAchxHQAAAwH9VVdVAchxHQAAAwH+O49hAchxHQAAAwH/HcdxAchxHQAAA\\nwH8AAOBAchxHQAAAwH85juNAchxHQAAAwH9yHOdAchxHQAAAwH+rqupAchxHQAAAwH/kOO5A\\nchxHQAAAwH8cx/FAchxHQAAAwH9VVfVAchxHQAAAwH+O4/hAchxHQAAAwH/HcfxAchxHQAAA\\nwH8AAABBchxHQAAAwH8cxwFBchxHQAAAwH85jgNBchxHQAAAwH9VVQVBchxHQAAAwH9yHAdB\\nchxHQAAAwH+O4whBchxHQAAAwH+rqgpBchxHQAAAwH/HcQxBchxHQAAAwH/kOA5BchxHQAAA\\nwH8AABBBchxHQAAAwH8cxxFBchxHQAAAwH85jhNBchxHQAAAwH9VVRVBchxHQAAAwH9yHBdB\\nchxHQAAAwH+O4xhBchxHQAAAwH+rqhpBchxHQAAAwH/HcRxBchxHQAAAwH/kOB5BchxHQAAA\\nwH8AACBBchxHQAAAwH8AAIC/5DhOQDmOI0A5jmO/5DhOQMdxHEByHEe/5DhOQFVVFUCrqiq/\\n5DhOQOQ4DkDkOA6/5DhOQHIcB0A5juO+5DhOQAAAAECrqqq+5DhOQBzH8T85jmO+5DhOQDmO\\n4z85juO95DhOQFVV1T8AAAAA5DhOQHIcxz85juM95DhOQI7juD85jmM+5DhOQKuqqj+rqqo+\\n5DhOQMdxnD85juM+5DhOQOQ4jj/kOA4/5DhOQAAAgD+rqio/5DhOQDmOYz9yHEc/5DhOQHIc\\nRz85jmM/5DhOQKuqKj8AAIA/5DhOQOQ4Dj/kOI4/5DhOQDmO4z7HcZw/5DhOQKuqqj6rqqo/\\n5DhOQDmOYz6O47g/5DhOQDmO4z1yHMc/5DhOQAAAAABVVdU/5DhOQDmO4705juM/5DhOQDmO\\nY74cx/E/5DhOQKuqqr4AAABA5DhOQDmO475yHAdA5DhOQOQ4Dr/kOA5A5DhOQKuqKr9VVRVA\\n5DhOQHIcR7/HcRxA5DhOQDmOY785jiNA5DhOQAAAgL+rqipA5DhOQAAAwH8cxzFA5DhOQAAA\\nwH+O4zhA5DhOQAAAwH8AAEBA5DhOQAAAwH9yHEdA5DhOQAAAwH/kOE5A5DhOQAAAwH9VVVVA\\n5DhOQAAAwH/HcVxA5DhOQAAAwH85jmNA5DhOQAAAwH+rqmpA5DhOQAAAwH8cx3FA5DhOQAAA\\nwH+O43hA5DhOQAAAwH8AAIBA5DhOQAAAwH85joNA5DhOQAAAwH9yHIdA5DhOQAAAwH+rqopA\\n5DhOQAAAwH/kOI5A5DhOQAAAwH8cx5FA5DhOQAAAwH9VVZVA5DhOQAAAwH+O45hA5DhOQAAA\\nwH/HcZxA5DhOQAAAwH8AAKBA5DhOQAAAwH85jqNA5DhOQAAAwH9yHKdA5DhOQAAAwH+rqqpA\\n5DhOQAAAwH/kOK5A5DhOQAAAwH8cx7FA5DhOQAAAwH9VVbVA5DhOQAAAwH+O47hA5DhOQAAA\\nwH/HcbxA5DhOQAAAwH8AAMBA5DhOQAAAwH85jsNA5DhOQAAAwH9yHMdA5DhOQAAAwH+rqspA\\n5DhOQAAAwH/kOM5A5DhOQAAAwH8cx9FA5DhOQAAAwH9VVdVA5DhOQAAAwH+O49hA5DhOQAAA\\nwH/HcdxA5DhOQAAAwH8AAOBA5DhOQAAAwH85juNA5DhOQAAAwH9yHOdA5DhOQAAAwH+rqupA\\n5DhOQAAAwH/kOO5A5DhOQAAAwH8cx/FA5DhOQAAAwH9VVfVA5DhOQAAAwH+O4/hA5DhOQAAA\\nwH/HcfxA5DhOQAAAwH8AAABB5DhOQAAAwH8cxwFB5DhOQAAAwH85jgNB5DhOQAAAwH9VVQVB\\n5DhOQAAAwH9yHAdB5DhOQAAAwH+O4whB5DhOQAAAwH+rqgpB5DhOQAAAwH/HcQxB5DhOQAAA\\nwH/kOA5B5DhOQAAAwH8AABBB5DhOQAAAwH8cxxFB5DhOQAAAwH85jhNB5DhOQAAAwH9VVRVB\\n5DhOQAAAwH9yHBdB5DhOQAAAwH+O4xhB5DhOQAAAwH+rqhpB5DhOQAAAwH/HcRxB5DhOQAAA\\nwH/kOB5B5DhOQAAAwH8AACBB5DhOQAAAwH8AAIC/VVVVQFVVFUA5jmO/VVVVQOQ4DkByHEe/\\nVVVVQHIcB0Crqiq/VVVVQAAAAEDkOA6/VVVVQBzH8T85juO+VVVVQDmO4z+rqqq+VVVVQFVV\\n1T85jmO+VVVVQHIcxz85juO9VVVVQI7juD8AAAAAVVVVQKuqqj85juM9VVVVQMdxnD85jmM+\\nVVVVQOQ4jj+rqqo+VVVVQAAAgD85juM+VVVVQDmOYz/kOA4/VVVVQHIcRz+rqio/VVVVQKuq\\nKj9yHEc/VVVVQOQ4Dj85jmM/VVVVQDmO4z4AAIA/VVVVQKuqqj7kOI4/VVVVQDmOYz7HcZw/\\nVVVVQDmO4z2rqqo/VVVVQAAAgCaO47g/VVVVQDmO471yHMc/VVVVQDmOY75VVdU/VVVVQKuq\\nqr45juM/VVVVQDmO474cx/E/VVVVQOQ4Dr8AAABAVVVVQKuqKr9yHAdAVVVVQHIcR7/kOA5A\\nVVVVQDmOY79VVRVAVVVVQAAAgL/HcRxAVVVVQAAAwH85jiNAVVVVQAAAwH+rqipAVVVVQAAA\\nwH8cxzFAVVVVQAAAwH+O4zhAVVVVQAAAwH8AAEBAVVVVQAAAwH9yHEdAVVVVQAAAwH/kOE5A\\nVVVVQAAAwH9VVVVAVVVVQAAAwH/HcVxAVVVVQAAAwH85jmNAVVVVQAAAwH+rqmpAVVVVQAAA\\nwH8cx3FAVVVVQAAAwH+O43hAVVVVQAAAwH8AAIBAVVVVQAAAwH85joNAVVVVQAAAwH9yHIdA\\nVVVVQAAAwH+rqopAVVVVQAAAwH/kOI5AVVVVQAAAwH8cx5FAVVVVQAAAwH9VVZVAVVVVQAAA\\nwH+O45hAVVVVQAAAwH/HcZxAVVVVQAAAwH8AAKBAVVVVQAAAwH85jqNAVVVVQAAAwH9yHKdA\\nVVVVQAAAwH+rqqpAVVVVQAAAwH/kOK5AVVVVQAAAwH8cx7FAVVVVQAAAwH9VVbVAVVVVQAAA\\nwH+O47hAVVVVQAAAwH/HcbxAVVVVQAAAwH8AAMBAVVVVQAAAwH85jsNAVVVVQAAAwH9yHMdA\\nVVVVQAAAwH+rqspAVVVVQAAAwH/kOM5AVVVVQAAAwH8cx9FAVVVVQAAAwH9VVdVAVVVVQAAA\\nwH+O49hAVVVVQAAAwH/HcdxAVVVVQAAAwH8AAOBAVVVVQAAAwH85juNAVVVVQAAAwH9yHOdA\\nVVVVQAAAwH+rqupAVVVVQAAAwH/kOO5AVVVVQAAAwH8cx/FAVVVVQAAAwH9VVfVAVVVVQAAA\\nwH+O4/hAVVVVQAAAwH/HcfxAVVVVQAAAwH8AAABBVVVVQAAAwH8cxwFBVVVVQAAAwH85jgNB\\nVVVVQAAAwH9VVQVBVVVVQAAAwH9yHAdBVVVVQAAAwH+O4whBVVVVQAAAwH+rqgpBVVVVQAAA\\nwH/HcQxBVVVVQAAAwH/kOA5BVVVVQAAAwH8AABBBVVVVQAAAwH8cxxFBVVVVQAAAwH85jhNB\\nVVVVQAAAwH9VVRVBVVVVQAAAwH9yHBdBVVVVQAAAwH+O4xhBVVVVQAAAwH+rqhpBVVVVQAAA\\nwH/HcRxBVVVVQAAAwH/kOB5BVVVVQAAAwH8AACBBVVVVQAAAwH8AAIC/x3FcQHIcB0A5jmO/\\nx3FcQAAAAEByHEe/x3FcQBzH8T+rqiq/x3FcQDmO4z/kOA6/x3FcQFVV1T85juO+x3FcQHIc\\nxz+rqqq+x3FcQI7juD85jmO+x3FcQKuqqj85juO9x3FcQMdxnD8AAAAAx3FcQOQ4jj85juM9\\nx3FcQAAAgD85jmM+x3FcQDmOYz+rqqo+x3FcQHIcRz85juM+x3FcQKuqKj/kOA4/x3FcQOQ4\\nDj+rqio/x3FcQDmO4z5yHEc/x3FcQKuqqj45jmM/x3FcQDmOYz4AAIA/x3FcQDmO4z3kOI4/\\nx3FcQAAAAADHcZw/x3FcQDmO472rqqo/x3FcQDmOY76O47g/x3FcQKuqqr5yHMc/x3FcQDmO\\n475VVdU/x3FcQOQ4Dr85juM/x3FcQKuqKr8cx/E/x3FcQHIcR78AAABAx3FcQDmOY79yHAdA\\nx3FcQAAAgL/kOA5Ax3FcQAAAwH9VVRVAx3FcQAAAwH/HcRxAx3FcQAAAwH85jiNAx3FcQAAA\\nwH+rqipAx3FcQAAAwH8cxzFAx3FcQAAAwH+O4zhAx3FcQAAAwH8AAEBAx3FcQAAAwH9yHEdA\\nx3FcQAAAwH/kOE5Ax3FcQAAAwH9VVVVAx3FcQAAAwH/HcVxAx3FcQAAAwH85jmNAx3FcQAAA\\nwH+rqmpAx3FcQAAAwH8cx3FAx3FcQAAAwH+O43hAx3FcQAAAwH8AAIBAx3FcQAAAwH85joNA\\nx3FcQAAAwH9yHIdAx3FcQAAAwH+rqopAx3FcQAAAwH/kOI5Ax3FcQAAAwH8cx5FAx3FcQAAA\\nwH9VVZVAx3FcQAAAwH+O45hAx3FcQAAAwH/HcZxAx3FcQAAAwH8AAKBAx3FcQAAAwH85jqNA\\nx3FcQAAAwH9yHKdAx3FcQAAAwH+rqqpAx3FcQAAAwH/kOK5Ax3FcQAAAwH8cx7FAx3FcQAAA\\nwH9VVbVAx3FcQAAAwH+O47hAx3FcQAAAwH/HcbxAx3FcQAAAwH8AAMBAx3FcQAAAwH85jsNA\\nx3FcQAAAwH9yHMdAx3FcQAAAwH+rqspAx3FcQAAAwH/kOM5Ax3FcQAAAwH8cx9FAx3FcQAAA\\nwH9VVdVAx3FcQAAAwH+O49hAx3FcQAAAwH/HcdxAx3FcQAAAwH8AAOBAx3FcQAAAwH85juNA\\nx3FcQAAAwH9yHOdAx3FcQAAAwH+rqupAx3FcQAAAwH/kOO5Ax3FcQAAAwH8cx/FAx3FcQAAA\\nwH9VVfVAx3FcQAAAwH+O4/hAx3FcQAAAwH/HcfxAx3FcQAAAwH8AAABBx3FcQAAAwH8cxwFB\\nx3FcQAAAwH85jgNBx3FcQAAAwH9VVQVBx3FcQAAAwH9yHAdBx3FcQAAAwH+O4whBx3FcQAAA\\nwH+rqgpBx3FcQAAAwH/HcQxBx3FcQAAAwH/kOA5Bx3FcQAAAwH8AABBBx3FcQAAAwH8cxxFB\\nx3FcQAAAwH85jhNBx3FcQAAAwH9VVRVBx3FcQAAAwH9yHBdBx3FcQAAAwH+O4xhBx3FcQAAA\\nwH+rqhpBx3FcQAAAwH/HcRxBx3FcQAAAwH/kOB5Bx3FcQAAAwH8AACBBx3FcQAAAwH8AAIC/\\nOY5jQBzH8T85jmO/OY5jQDmO4z9yHEe/OY5jQFVV1T+rqiq/OY5jQHIcxz/kOA6/OY5jQI7j\\nuD85juO+OY5jQKuqqj+rqqq+OY5jQMdxnD85jmO+OY5jQOQ4jj85juO9OY5jQAAAgD8AAAAA\\nOY5jQDmOYz85juM9OY5jQHIcRz85jmM+OY5jQKuqKj+rqqo+OY5jQOQ4Dj85juM+OY5jQDmO\\n4z7kOA4/OY5jQKuqqj6rqio/OY5jQDmOYz5yHEc/OY5jQDmO4z05jmM/OY5jQAAAAAAAAIA/\\nOY5jQDmO473kOI4/OY5jQDmOY77HcZw/OY5jQKuqqr6rqqo/OY5jQDmO476O47g/OY5jQOQ4\\nDr9yHMc/OY5jQKuqKr9VVdU/OY5jQHIcR785juM/OY5jQDmOY78cx/E/OY5jQAAAgL8AAABA\\nOY5jQAAAwH9yHAdAOY5jQAAAwH/kOA5AOY5jQAAAwH9VVRVAOY5jQAAAwH/HcRxAOY5jQAAA\\nwH85jiNAOY5jQAAAwH+rqipAOY5jQAAAwH8cxzFAOY5jQAAAwH+O4zhAOY5jQAAAwH8AAEBA\\nOY5jQAAAwH9yHEdAOY5jQAAAwH/kOE5AOY5jQAAAwH9VVVVAOY5jQAAAwH/HcVxAOY5jQAAA\\nwH85jmNAOY5jQAAAwH+rqmpAOY5jQAAAwH8cx3FAOY5jQAAAwH+O43hAOY5jQAAAwH8AAIBA\\nOY5jQAAAwH85joNAOY5jQAAAwH9yHIdAOY5jQAAAwH+rqopAOY5jQAAAwH/kOI5AOY5jQAAA\\nwH8cx5FAOY5jQAAAwH9VVZVAOY5jQAAAwH+O45hAOY5jQAAAwH/HcZxAOY5jQAAAwH8AAKBA\\nOY5jQAAAwH85jqNAOY5jQAAAwH9yHKdAOY5jQAAAwH+rqqpAOY5jQAAAwH/kOK5AOY5jQAAA\\nwH8cx7FAOY5jQAAAwH9VVbVAOY5jQAAAwH+O47hAOY5jQAAAwH/HcbxAOY5jQAAAwH8AAMBA\\nOY5jQAAAwH85jsNAOY5jQAAAwH9yHMdAOY5jQAAAwH+rqspAOY5jQAAAwH/kOM5AOY5jQAAA\\nwH8cx9FAOY5jQAAAwH9VVdVAOY5jQAAAwH+O49hAOY5jQAAAwH/HcdxAOY5jQAAAwH8AAOBA\\nOY5jQAAAwH85juNAOY5jQAAAwH9yHOdAOY5jQAAAwH+rqupAOY5jQAAAwH/kOO5AOY5jQAAA\\nwH8cx/FAOY5jQAAAwH9VVfVAOY5jQAAAwH+O4/hAOY5jQAAAwH/HcfxAOY5jQAAAwH8AAABB\\nOY5jQAAAwH8cxwFBOY5jQAAAwH85jgNBOY5jQAAAwH9VVQVBOY5jQAAAwH9yHAdBOY5jQAAA\\nwH+O4whBOY5jQAAAwH+rqgpBOY5jQAAAwH/HcQxBOY5jQAAAwH/kOA5BOY5jQAAAwH8AABBB\\nOY5jQAAAwH8cxxFBOY5jQAAAwH85jhNBOY5jQAAAwH9VVRVBOY5jQAAAwH9yHBdBOY5jQAAA\\nwH+O4xhBOY5jQAAAwH+rqhpBOY5jQAAAwH/HcRxBOY5jQAAAwH/kOB5BOY5jQAAAwH8AACBB\\nOY5jQAAAwH8AAIC/q6pqQFVV1T85jmO/q6pqQHIcxz9yHEe/q6pqQI7juD+rqiq/q6pqQKuq\\nqj/kOA6/q6pqQMdxnD85juO+q6pqQOQ4jj+rqqq+q6pqQAAAgD85jmO+q6pqQDmOYz85juO9\\nq6pqQHIcRz8AAAAAq6pqQKuqKj85juM9q6pqQOQ4Dj85jmM+q6pqQDmO4z6rqqo+q6pqQKuq\\nqj45juM+q6pqQDmOYz7kOA4/q6pqQDmO4z2rqio/q6pqQAAAACdyHEc/q6pqQDmO4705jmM/\\nq6pqQDmOY74AAIA/q6pqQKuqqr7kOI4/q6pqQDmO477HcZw/q6pqQOQ4Dr+rqqo/q6pqQKuq\\nKr+O47g/q6pqQHIcR79yHMc/q6pqQDmOY79VVdU/q6pqQAAAgL85juM/q6pqQAAAwH8cx/E/\\nq6pqQAAAwH8AAABAq6pqQAAAwH9yHAdAq6pqQAAAwH/kOA5Aq6pqQAAAwH9VVRVAq6pqQAAA\\nwH/HcRxAq6pqQAAAwH85jiNAq6pqQAAAwH+rqipAq6pqQAAAwH8cxzFAq6pqQAAAwH+O4zhA\\nq6pqQAAAwH8AAEBAq6pqQAAAwH9yHEdAq6pqQAAAwH/kOE5Aq6pqQAAAwH9VVVVAq6pqQAAA\\nwH/HcVxAq6pqQAAAwH85jmNAq6pqQAAAwH+rqmpAq6pqQAAAwH8cx3FAq6pqQAAAwH+O43hA\\nq6pqQAAAwH8AAIBAq6pqQAAAwH85joNAq6pqQAAAwH9yHIdAq6pqQAAAwH+rqopAq6pqQAAA\\nwH/kOI5Aq6pqQAAAwH8cx5FAq6pqQAAAwH9VVZVAq6pqQAAAwH+O45hAq6pqQAAAwH/HcZxA\\nq6pqQAAAwH8AAKBAq6pqQAAAwH85jqNAq6pqQAAAwH9yHKdAq6pqQAAAwH+rqqpAq6pqQAAA\\nwH/kOK5Aq6pqQAAAwH8cx7FAq6pqQAAAwH9VVbVAq6pqQAAAwH+O47hAq6pqQAAAwH/HcbxA\\nq6pqQAAAwH8AAMBAq6pqQAAAwH85jsNAq6pqQAAAwH9yHMdAq6pqQAAAwH+rqspAq6pqQAAA\\nwH/kOM5Aq6pqQAAAwH8cx9FAq6pqQAAAwH9VVdVAq6pqQAAAwH+O49hAq6pqQAAAwH/HcdxA\\nq6pqQAAAwH8AAOBAq6pqQAAAwH85juNAq6pqQAAAwH9yHOdAq6pqQAAAwH+rqupAq6pqQAAA\\nwH/kOO5Aq6pqQAAAwH8cx/FAq6pqQAAAwH9VVfVAq6pqQAAAwH+O4/hAq6pqQAAAwH/HcfxA\\nq6pqQAAAwH8AAABBq6pqQAAAwH8cxwFBq6pqQAAAwH85jgNBq6pqQAAAwH9VVQVBq6pqQAAA\\nwH9yHAdBq6pqQAAAwH+O4whBq6pqQAAAwH+rqgpBq6pqQAAAwH/HcQxBq6pqQAAAwH/kOA5B\\nq6pqQAAAwH8AABBBq6pqQAAAwH8cxxFBq6pqQAAAwH85jhNBq6pqQAAAwH9VVRVBq6pqQAAA\\nwH9yHBdBq6pqQAAAwH+O4xhBq6pqQAAAwH+rqhpBq6pqQAAAwH/HcRxBq6pqQAAAwH/kOB5B\\nq6pqQAAAwH8AACBBq6pqQAAAwH8AAIC/HMdxQI7juD85jmO/HMdxQKuqqj9yHEe/HMdxQMdx\\nnD+rqiq/HMdxQOQ4jj/kOA6/HMdxQAAAgD85juO+HMdxQDmOYz+rqqq+HMdxQHIcRz85jmO+\\nHMdxQKuqKj85juO9HMdxQOQ4Dj8AAAAAHMdxQDmO4z45juM9HMdxQKuqqj45jmM+HMdxQDmO\\nYz6rqqo+HMdxQDmO4z05juM+HMdxQAAAAADkOA4/HMdxQDmO472rqio/HMdxQDmOY75yHEc/\\nHMdxQKuqqr45jmM/HMdxQDmO474AAIA/HMdxQOQ4Dr/kOI4/HMdxQKuqKr/HcZw/HMdxQHIc\\nR7+rqqo/HMdxQDmOY7+O47g/HMdxQAAAgL9yHMc/HMdxQAAAwH9VVdU/HMdxQAAAwH85juM/\\nHMdxQAAAwH8cx/E/HMdxQAAAwH8AAABAHMdxQAAAwH9yHAdAHMdxQAAAwH/kOA5AHMdxQAAA\\nwH9VVRVAHMdxQAAAwH/HcRxAHMdxQAAAwH85jiNAHMdxQAAAwH+rqipAHMdxQAAAwH8cxzFA\\nHMdxQAAAwH+O4zhAHMdxQAAAwH8AAEBAHMdxQAAAwH9yHEdAHMdxQAAAwH/kOE5AHMdxQAAA\\nwH9VVVVAHMdxQAAAwH/HcVxAHMdxQAAAwH85jmNAHMdxQAAAwH+rqmpAHMdxQAAAwH8cx3FA\\nHMdxQAAAwH+O43hAHMdxQAAAwH8AAIBAHMdxQAAAwH85joNAHMdxQAAAwH9yHIdAHMdxQAAA\\nwH+rqopAHMdxQAAAwH/kOI5AHMdxQAAAwH8cx5FAHMdxQAAAwH9VVZVAHMdxQAAAwH+O45hA\\nHMdxQAAAwH/HcZxAHMdxQAAAwH8AAKBAHMdxQAAAwH85jqNAHMdxQAAAwH9yHKdAHMdxQAAA\\nwH+rqqpAHMdxQAAAwH/kOK5AHMdxQAAAwH8cx7FAHMdxQAAAwH9VVbVAHMdxQAAAwH+O47hA\\nHMdxQAAAwH/HcbxAHMdxQAAAwH8AAMBAHMdxQAAAwH85jsNAHMdxQAAAwH9yHMdAHMdxQAAA\\nwH+rqspAHMdxQAAAwH/kOM5AHMdxQAAAwH8cx9FAHMdxQAAAwH9VVdVAHMdxQAAAwH+O49hA\\nHMdxQAAAwH/HcdxAHMdxQAAAwH8AAOBAHMdxQAAAwH85juNAHMdxQAAAwH9yHOdAHMdxQAAA\\nwH+rqupAHMdxQAAAwH/kOO5AHMdxQAAAwH8cx/FAHMdxQAAAwH9VVfVAHMdxQAAAwH+O4/hA\\nHMdxQAAAwH/HcfxAHMdxQAAAwH8AAABBHMdxQAAAwH8cxwFBHMdxQAAAwH85jgNBHMdxQAAA\\nwH9VVQVBHMdxQAAAwH9yHAdBHMdxQAAAwH+O4whBHMdxQAAAwH+rqgpBHMdxQAAAwH/HcQxB\\nHMdxQAAAwH/kOA5BHMdxQAAAwH8AABBBHMdxQAAAwH8cxxFBHMdxQAAAwH85jhNBHMdxQAAA\\nwH9VVRVBHMdxQAAAwH9yHBdBHMdxQAAAwH+O4xhBHMdxQAAAwH+rqhpBHMdxQAAAwH/HcRxB\\nHMdxQAAAwH/kOB5BHMdxQAAAwH8AACBBHMdxQAAAwH8AAIC/juN4QMdxnD85jmO/juN4QOQ4\\njj9yHEe/juN4QAAAgD+rqiq/juN4QDmOYz/kOA6/juN4QHIcRz85juO+juN4QKuqKj+rqqq+\\njuN4QOQ4Dj85jmO+juN4QDmO4z45juO9juN4QKuqqj4AAAAAjuN4QDmOYz45juM9juN4QDmO\\n4z05jmM+juN4QAAAgCarqqo+juN4QDmO4705juM+juN4QDmOY77kOA4/juN4QKuqqr6rqio/\\njuN4QDmO475yHEc/juN4QOQ4Dr85jmM/juN4QKuqKr8AAIA/juN4QHIcR7/kOI4/juN4QDmO\\nY7/HcZw/juN4QAAAgL+rqqo/juN4QAAAwH+O47g/juN4QAAAwH9yHMc/juN4QAAAwH9VVdU/\\njuN4QAAAwH85juM/juN4QAAAwH8cx/E/juN4QAAAwH8AAABAjuN4QAAAwH9yHAdAjuN4QAAA\\nwH/kOA5AjuN4QAAAwH9VVRVAjuN4QAAAwH/HcRxAjuN4QAAAwH85jiNAjuN4QAAAwH+rqipA\\njuN4QAAAwH8cxzFAjuN4QAAAwH+O4zhAjuN4QAAAwH8AAEBAjuN4QAAAwH9yHEdAjuN4QAAA\\nwH/kOE5AjuN4QAAAwH9VVVVAjuN4QAAAwH/HcVxAjuN4QAAAwH85jmNAjuN4QAAAwH+rqmpA\\njuN4QAAAwH8cx3FAjuN4QAAAwH+O43hAjuN4QAAAwH8AAIBAjuN4QAAAwH85joNAjuN4QAAA\\nwH9yHIdAjuN4QAAAwH+rqopAjuN4QAAAwH/kOI5AjuN4QAAAwH8cx5FAjuN4QAAAwH9VVZVA\\njuN4QAAAwH+O45hAjuN4QAAAwH/HcZxAjuN4QAAAwH8AAKBAjuN4QAAAwH85jqNAjuN4QAAA\\nwH9yHKdAjuN4QAAAwH+rqqpAjuN4QAAAwH/kOK5AjuN4QAAAwH8cx7FAjuN4QAAAwH9VVbVA\\njuN4QAAAwH+O47hAjuN4QAAAwH/HcbxAjuN4QAAAwH8AAMBAjuN4QAAAwH85jsNAjuN4QAAA\\nwH9yHMdAjuN4QAAAwH+rqspAjuN4QAAAwH/kOM5AjuN4QAAAwH8cx9FAjuN4QAAAwH9VVdVA\\njuN4QAAAwH+O49hAjuN4QAAAwH/HcdxAjuN4QAAAwH8AAOBAjuN4QAAAwH85juNAjuN4QAAA\\nwH9yHOdAjuN4QAAAwH+rqupAjuN4QAAAwH/kOO5AjuN4QAAAwH8cx/FAjuN4QAAAwH9VVfVA\\njuN4QAAAwH+O4/hAjuN4QAAAwH/HcfxAjuN4QAAAwH8AAABBjuN4QAAAwH8cxwFBjuN4QAAA\\nwH85jgNBjuN4QAAAwH9VVQVBjuN4QAAAwH9yHAdBjuN4QAAAwH+O4whBjuN4QAAAwH+rqgpB\\njuN4QAAAwH/HcQxBjuN4QAAAwH/kOA5BjuN4QAAAwH8AABBBjuN4QAAAwH8cxxFBjuN4QAAA\\nwH85jhNBjuN4QAAAwH9VVRVBjuN4QAAAwH9yHBdBjuN4QAAAwH+O4xhBjuN4QAAAwH+rqhpB\\njuN4QAAAwH/HcRxBjuN4QAAAwH/kOB5BjuN4QAAAwH8AACBBjuN4QAAAwH8AAIC/AACAQAAA\\ngD85jmO/AACAQDmOYz9yHEe/AACAQHIcRz+rqiq/AACAQKuqKj/kOA6/AACAQOQ4Dj85juO+\\nAACAQDmO4z6rqqq+AACAQKuqqj45jmO+AACAQDmOYz45juO9AACAQDmO4z0AAAAAAACAQAAA\\nAAA5juM9AACAQDmO4705jmM+AACAQDmOY76rqqo+AACAQKuqqr45juM+AACAQDmO477kOA4/\\nAACAQOQ4Dr+rqio/AACAQKuqKr9yHEc/AACAQHIcR785jmM/AACAQDmOY78AAIA/AACAQAAA\\ngL/kOI4/AACAQAAAwH/HcZw/AACAQAAAwH+rqqo/AACAQAAAwH+O47g/AACAQAAAwH9yHMc/\\nAACAQAAAwH9VVdU/AACAQAAAwH85juM/AACAQAAAwH8cx/E/AACAQAAAwH8AAABAAACAQAAA\\nwH9yHAdAAACAQAAAwH/kOA5AAACAQAAAwH9VVRVAAACAQAAAwH/HcRxAAACAQAAAwH85jiNA\\nAACAQAAAwH+rqipAAACAQAAAwH8cxzFAAACAQAAAwH+O4zhAAACAQAAAwH8AAEBAAACAQAAA\\nwH9yHEdAAACAQAAAwH/kOE5AAACAQAAAwH9VVVVAAACAQAAAwH/HcVxAAACAQAAAwH85jmNA\\nAACAQAAAwH+rqmpAAACAQAAAwH8cx3FAAACAQAAAwH+O43hAAACAQAAAwH8AAIBAAACAQAAA\\nwH85joNAAACAQAAAwH9yHIdAAACAQAAAwH+rqopAAACAQAAAwH/kOI5AAACAQAAAwH8cx5FA\\nAACAQAAAwH9VVZVAAACAQAAAwH+O45hAAACAQAAAwH/HcZxAAACAQAAAwH8AAKBAAACAQAAA\\nwH85jqNAAACAQAAAwH9yHKdAAACAQAAAwH+rqqpAAACAQAAAwH/kOK5AAACAQAAAwH8cx7FA\\nAACAQAAAwH9VVbVAAACAQAAAwH+O47hAAACAQAAAwH/HcbxAAACAQAAAwH8AAMBAAACAQAAA\\nwH85jsNAAACAQAAAwH9yHMdAAACAQAAAwH+rqspAAACAQAAAwH/kOM5AAACAQAAAwH8cx9FA\\nAACAQAAAwH9VVdVAAACAQAAAwH+O49hAAACAQAAAwH/HcdxAAACAQAAAwH8AAOBAAACAQAAA\\nwH85juNAAACAQAAAwH9yHOdAAACAQAAAwH+rqupAAACAQAAAwH/kOO5AAACAQAAAwH8cx/FA\\nAACAQAAAwH9VVfVAAACAQAAAwH+O4/hAAACAQAAAwH/HcfxAAACAQAAAwH8AAABBAACAQAAA\\nwH8cxwFBAACAQAAAwH85jgNBAACAQAAAwH9VVQVBAACAQAAAwH9yHAdBAACAQAAAwH+O4whB\\nAACAQAAAwH+rqgpBAACAQAAAwH/HcQxBAACAQAAAwH/kOA5BAACAQAAAwH8AABBBAACAQAAA\\nwH8cxxFBAACAQAAAwH85jhNBAACAQAAAwH9VVRVBAACAQAAAwH9yHBdBAACAQAAAwH+O4xhB\\nAACAQAAAwH+rqhpBAACAQAAAwH/HcRxBAACAQAAAwH/kOB5BAACAQAAAwH8AACBBAACAQAAA\\nwH8AAIC/OY6DQHIcRz85jmO/OY6DQKuqKj9yHEe/OY6DQOQ4Dj+rqiq/OY6DQDmO4z7kOA6/\\nOY6DQKuqqj45juO+OY6DQDmOYz6rqqq+OY6DQDmO4z05jmO+OY6DQAAAgCY5juO9OY6DQDmO\\n470AAAAAOY6DQDmOY745juM9OY6DQKuqqr45jmM+OY6DQDmO476rqqo+OY6DQOQ4Dr85juM+\\nOY6DQKuqKr/kOA4/OY6DQHIcR7+rqio/OY6DQDmOY79yHEc/OY6DQAAAgL85jmM/OY6DQAAA\\nwH8AAIA/OY6DQAAAwH/kOI4/OY6DQAAAwH/HcZw/OY6DQAAAwH+rqqo/OY6DQAAAwH+O47g/\\nOY6DQAAAwH9yHMc/OY6DQAAAwH9VVdU/OY6DQAAAwH85juM/OY6DQAAAwH8cx/E/OY6DQAAA\\nwH8AAABAOY6DQAAAwH9yHAdAOY6DQAAAwH/kOA5AOY6DQAAAwH9VVRVAOY6DQAAAwH/HcRxA\\nOY6DQAAAwH85jiNAOY6DQAAAwH+rqipAOY6DQAAAwH8cxzFAOY6DQAAAwH+O4zhAOY6DQAAA\\nwH8AAEBAOY6DQAAAwH9yHEdAOY6DQAAAwH/kOE5AOY6DQAAAwH9VVVVAOY6DQAAAwH/HcVxA\\nOY6DQAAAwH85jmNAOY6DQAAAwH+rqmpAOY6DQAAAwH8cx3FAOY6DQAAAwH+O43hAOY6DQAAA\\nwH8AAIBAOY6DQAAAwH85joNAOY6DQAAAwH9yHIdAOY6DQAAAwH+rqopAOY6DQAAAwH/kOI5A\\nOY6DQAAAwH8cx5FAOY6DQAAAwH9VVZVAOY6DQAAAwH+O45hAOY6DQAAAwH/HcZxAOY6DQAAA\\nwH8AAKBAOY6DQAAAwH85jqNAOY6DQAAAwH9yHKdAOY6DQAAAwH+rqqpAOY6DQAAAwH/kOK5A\\nOY6DQAAAwH8cx7FAOY6DQAAAwH9VVbVAOY6DQAAAwH+O47hAOY6DQAAAwH/HcbxAOY6DQAAA\\nwH8AAMBAOY6DQAAAwH85jsNAOY6DQAAAwH9yHMdAOY6DQAAAwH+rqspAOY6DQAAAwH/kOM5A\\nOY6DQAAAwH8cx9FAOY6DQAAAwH9VVdVAOY6DQAAAwH+O49hAOY6DQAAAwH/HcdxAOY6DQAAA\\nwH8AAOBAOY6DQAAAwH85juNAOY6DQAAAwH9yHOdAOY6DQAAAwH+rqupAOY6DQAAAwH/kOO5A\\nOY6DQAAAwH8cx/FAOY6DQAAAwH9VVfVAOY6DQAAAwH+O4/hAOY6DQAAAwH/HcfxAOY6DQAAA\\nwH8AAABBOY6DQAAAwH8cxwFBOY6DQAAAwH85jgNBOY6DQAAAwH9VVQVBOY6DQAAAwH9yHAdB\\nOY6DQAAAwH+O4whBOY6DQAAAwH+rqgpBOY6DQAAAwH/HcQxBOY6DQAAAwH/kOA5BOY6DQAAA\\nwH8AABBBOY6DQAAAwH8cxxFBOY6DQAAAwH85jhNBOY6DQAAAwH9VVRVBOY6DQAAAwH9yHBdB\\nOY6DQAAAwH+O4xhBOY6DQAAAwH+rqhpBOY6DQAAAwH/HcRxBOY6DQAAAwH/kOB5BOY6DQAAA\\nwH8AACBBOY6DQAAAwH8AAIC/chyHQOQ4Dj85jmO/chyHQDmO4z5yHEe/chyHQKuqqj6rqiq/\\nchyHQDmOYz7kOA6/chyHQDmO4z05juO+chyHQAAAAACrqqq+chyHQDmO4705jmO+chyHQDmO\\nY745juO9chyHQKuqqr4AAAAAchyHQDmO4745juM9chyHQOQ4Dr85jmM+chyHQKuqKr+rqqo+\\nchyHQHIcR785juM+chyHQDmOY7/kOA4/chyHQAAAgL+rqio/chyHQAAAwH9yHEc/chyHQAAA\\nwH85jmM/chyHQAAAwH8AAIA/chyHQAAAwH/kOI4/chyHQAAAwH/HcZw/chyHQAAAwH+rqqo/\\nchyHQAAAwH+O47g/chyHQAAAwH9yHMc/chyHQAAAwH9VVdU/chyHQAAAwH85juM/chyHQAAA\\nwH8cx/E/chyHQAAAwH8AAABAchyHQAAAwH9yHAdAchyHQAAAwH/kOA5AchyHQAAAwH9VVRVA\\nchyHQAAAwH/HcRxAchyHQAAAwH85jiNAchyHQAAAwH+rqipAchyHQAAAwH8cxzFAchyHQAAA\\nwH+O4zhAchyHQAAAwH8AAEBAchyHQAAAwH9yHEdAchyHQAAAwH/kOE5AchyHQAAAwH9VVVVA\\nchyHQAAAwH/HcVxAchyHQAAAwH85jmNAchyHQAAAwH+rqmpAchyHQAAAwH8cx3FAchyHQAAA\\nwH+O43hAchyHQAAAwH8AAIBAchyHQAAAwH85joNAchyHQAAAwH9yHIdAchyHQAAAwH+rqopA\\nchyHQAAAwH/kOI5AchyHQAAAwH8cx5FAchyHQAAAwH9VVZVAchyHQAAAwH+O45hAchyHQAAA\\nwH/HcZxAchyHQAAAwH8AAKBAchyHQAAAwH85jqNAchyHQAAAwH9yHKdAchyHQAAAwH+rqqpA\\nchyHQAAAwH/kOK5AchyHQAAAwH8cx7FAchyHQAAAwH9VVbVAchyHQAAAwH+O47hAchyHQAAA\\nwH/HcbxAchyHQAAAwH8AAMBAchyHQAAAwH85jsNAchyHQAAAwH9yHMdAchyHQAAAwH+rqspA\\nchyHQAAAwH/kOM5AchyHQAAAwH8cx9FAchyHQAAAwH9VVdVAchyHQAAAwH+O49hAchyHQAAA\\nwH/HcdxAchyHQAAAwH8AAOBAchyHQAAAwH85juNAchyHQAAAwH9yHOdAchyHQAAAwH+rqupA\\nchyHQAAAwH/kOO5AchyHQAAAwH8cx/FAchyHQAAAwH9VVfVAchyHQAAAwH+O4/hAchyHQAAA\\nwH/HcfxAchyHQAAAwH8AAABBchyHQAAAwH8cxwFBchyHQAAAwH85jgNBchyHQAAAwH9VVQVB\\nchyHQAAAwH9yHAdBchyHQAAAwH+O4whBchyHQAAAwH+rqgpBchyHQAAAwH/HcQxBchyHQAAA\\nwH/kOA5BchyHQAAAwH8AABBBchyHQAAAwH8cxxFBchyHQAAAwH85jhNBchyHQAAAwH9VVRVB\\nchyHQAAAwH9yHBdBchyHQAAAwH+O4xhBchyHQAAAwH+rqhpBchyHQAAAwH/HcRxBchyHQAAA\\nwH/kOB5BchyHQAAAwH8AACBBchyHQAAAwH8AAIC/q6qKQKuqqj45jmO/q6qKQDmOYz5yHEe/\\nq6qKQDmO4z2rqiq/q6qKQAAAgCbkOA6/q6qKQDmO4705juO+q6qKQDmOY76rqqq+q6qKQKuq\\nqr45jmO+q6qKQDmO4745juO9q6qKQOQ4Dr8AAAAAq6qKQKuqKr85juM9q6qKQHIcR785jmM+\\nq6qKQDmOY7+rqqo+q6qKQAAAgL85juM+q6qKQAAAwH/kOA4/q6qKQAAAwH+rqio/q6qKQAAA\\nwH9yHEc/q6qKQAAAwH85jmM/q6qKQAAAwH8AAIA/q6qKQAAAwH/kOI4/q6qKQAAAwH/HcZw/\\nq6qKQAAAwH+rqqo/q6qKQAAAwH+O47g/q6qKQAAAwH9yHMc/q6qKQAAAwH9VVdU/q6qKQAAA\\nwH85juM/q6qKQAAAwH8cx/E/q6qKQAAAwH8AAABAq6qKQAAAwH9yHAdAq6qKQAAAwH/kOA5A\\nq6qKQAAAwH9VVRVAq6qKQAAAwH/HcRxAq6qKQAAAwH85jiNAq6qKQAAAwH+rqipAq6qKQAAA\\nwH8cxzFAq6qKQAAAwH+O4zhAq6qKQAAAwH8AAEBAq6qKQAAAwH9yHEdAq6qKQAAAwH/kOE5A\\nq6qKQAAAwH9VVVVAq6qKQAAAwH/HcVxAq6qKQAAAwH85jmNAq6qKQAAAwH+rqmpAq6qKQAAA\\nwH8cx3FAq6qKQAAAwH+O43hAq6qKQAAAwH8AAIBAq6qKQAAAwH85joNAq6qKQAAAwH9yHIdA\\nq6qKQAAAwH+rqopAq6qKQAAAwH/kOI5Aq6qKQAAAwH8cx5FAq6qKQAAAwH9VVZVAq6qKQAAA\\nwH+O45hAq6qKQAAAwH/HcZxAq6qKQAAAwH8AAKBAq6qKQAAAwH85jqNAq6qKQAAAwH9yHKdA\\nq6qKQAAAwH+rqqpAq6qKQAAAwH/kOK5Aq6qKQAAAwH8cx7FAq6qKQAAAwH9VVbVAq6qKQAAA\\nwH+O47hAq6qKQAAAwH/HcbxAq6qKQAAAwH8AAMBAq6qKQAAAwH85jsNAq6qKQAAAwH9yHMdA\\nq6qKQAAAwH+rqspAq6qKQAAAwH/kOM5Aq6qKQAAAwH8cx9FAq6qKQAAAwH9VVdVAq6qKQAAA\\nwH+O49hAq6qKQAAAwH/HcdxAq6qKQAAAwH8AAOBAq6qKQAAAwH85juNAq6qKQAAAwH9yHOdA\\nq6qKQAAAwH+rqupAq6qKQAAAwH/kOO5Aq6qKQAAAwH8cx/FAq6qKQAAAwH9VVfVAq6qKQAAA\\nwH+O4/hAq6qKQAAAwH/HcfxAq6qKQAAAwH8AAABBq6qKQAAAwH8cxwFBq6qKQAAAwH85jgNB\\nq6qKQAAAwH9VVQVBq6qKQAAAwH9yHAdBq6qKQAAAwH+O4whBq6qKQAAAwH+rqgpBq6qKQAAA\\nwH/HcQxBq6qKQAAAwH/kOA5Bq6qKQAAAwH8AABBBq6qKQAAAwH8cxxFBq6qKQAAAwH85jhNB\\nq6qKQAAAwH9VVRVBq6qKQAAAwH9yHBdBq6qKQAAAwH+O4xhBq6qKQAAAwH+rqhpBq6qKQAAA\\nwH/HcRxBq6qKQAAAwH/kOB5Bq6qKQAAAwH8AACBBq6qKQAAAwH8AAIC/5DiOQDmO4z05jmO/\\n5DiOQAAAACdyHEe/5DiOQDmO472rqiq/5DiOQDmOY77kOA6/5DiOQKuqqr45juO+5DiOQDmO\\n476rqqq+5DiOQOQ4Dr85jmO+5DiOQKuqKr85juO95DiOQHIcR78AAAAA5DiOQDmOY785juM9\\n5DiOQAAAgL85jmM+5DiOQAAAwH+rqqo+5DiOQAAAwH85juM+5DiOQAAAwH/kOA4/5DiOQAAA\\nwH+rqio/5DiOQAAAwH9yHEc/5DiOQAAAwH85jmM/5DiOQAAAwH8AAIA/5DiOQAAAwH/kOI4/\\n5DiOQAAAwH/HcZw/5DiOQAAAwH+rqqo/5DiOQAAAwH+O47g/5DiOQAAAwH9yHMc/5DiOQAAA\\nwH9VVdU/5DiOQAAAwH85juM/5DiOQAAAwH8cx/E/5DiOQAAAwH8AAABA5DiOQAAAwH9yHAdA\\n5DiOQAAAwH/kOA5A5DiOQAAAwH9VVRVA5DiOQAAAwH/HcRxA5DiOQAAAwH85jiNA5DiOQAAA\\nwH+rqipA5DiOQAAAwH8cxzFA5DiOQAAAwH+O4zhA5DiOQAAAwH8AAEBA5DiOQAAAwH9yHEdA\\n5DiOQAAAwH/kOE5A5DiOQAAAwH9VVVVA5DiOQAAAwH/HcVxA5DiOQAAAwH85jmNA5DiOQAAA\\nwH+rqmpA5DiOQAAAwH8cx3FA5DiOQAAAwH+O43hA5DiOQAAAwH8AAIBA5DiOQAAAwH85joNA\\n5DiOQAAAwH9yHIdA5DiOQAAAwH+rqopA5DiOQAAAwH/kOI5A5DiOQAAAwH8cx5FA5DiOQAAA\\nwH9VVZVA5DiOQAAAwH+O45hA5DiOQAAAwH/HcZxA5DiOQAAAwH8AAKBA5DiOQAAAwH85jqNA\\n5DiOQAAAwH9yHKdA5DiOQAAAwH+rqqpA5DiOQAAAwH/kOK5A5DiOQAAAwH8cx7FA5DiOQAAA\\nwH9VVbVA5DiOQAAAwH+O47hA5DiOQAAAwH/HcbxA5DiOQAAAwH8AAMBA5DiOQAAAwH85jsNA\\n5DiOQAAAwH9yHMdA5DiOQAAAwH+rqspA5DiOQAAAwH/kOM5A5DiOQAAAwH8cx9FA5DiOQAAA\\nwH9VVdVA5DiOQAAAwH+O49hA5DiOQAAAwH/HcdxA5DiOQAAAwH8AAOBA5DiOQAAAwH85juNA\\n5DiOQAAAwH9yHOdA5DiOQAAAwH+rqupA5DiOQAAAwH/kOO5A5DiOQAAAwH8cx/FA5DiOQAAA\\nwH9VVfVA5DiOQAAAwH+O4/hA5DiOQAAAwH/HcfxA5DiOQAAAwH8AAABB5DiOQAAAwH8cxwFB\\n5DiOQAAAwH85jgNB5DiOQAAAwH9VVQVB5DiOQAAAwH9yHAdB5DiOQAAAwH+O4whB5DiOQAAA\\nwH+rqgpB5DiOQAAAwH/HcQxB5DiOQAAAwH/kOA5B5DiOQAAAwH8AABBB5DiOQAAAwH8cxxFB\\n5DiOQAAAwH85jhNB5DiOQAAAwH9VVRVB5DiOQAAAwH9yHBdB5DiOQAAAwH+O4xhB5DiOQAAA\\nwH+rqhpB5DiOQAAAwH/HcRxB5DiOQAAAwH/kOB5B5DiOQAAAwH8AACBB5DiOQAAAwH8AAIC/\\nHMeRQDmO4705jmO/HMeRQDmOY75yHEe/HMeRQKuqqr6rqiq/HMeRQDmO477kOA6/HMeRQOQ4\\nDr85juO+HMeRQKuqKr+rqqq+HMeRQHIcR785jmO+HMeRQDmOY785juO9HMeRQAAAgL8AAAAA\\nHMeRQAAAwH85juM9HMeRQAAAwH85jmM+HMeRQAAAwH+rqqo+HMeRQAAAwH85juM+HMeRQAAA\\nwH/kOA4/HMeRQAAAwH+rqio/HMeRQAAAwH9yHEc/HMeRQAAAwH85jmM/HMeRQAAAwH8AAIA/\\nHMeRQAAAwH/kOI4/HMeRQAAAwH/HcZw/HMeRQAAAwH+rqqo/HMeRQAAAwH+O47g/HMeRQAAA\\nwH9yHMc/HMeRQAAAwH9VVdU/HMeRQAAAwH85juM/HMeRQAAAwH8cx/E/HMeRQAAAwH8AAABA\\nHMeRQAAAwH9yHAdAHMeRQAAAwH/kOA5AHMeRQAAAwH9VVRVAHMeRQAAAwH/HcRxAHMeRQAAA\\nwH85jiNAHMeRQAAAwH+rqipAHMeRQAAAwH8cxzFAHMeRQAAAwH+O4zhAHMeRQAAAwH8AAEBA\\nHMeRQAAAwH9yHEdAHMeRQAAAwH/kOE5AHMeRQAAAwH9VVVVAHMeRQAAAwH/HcVxAHMeRQAAA\\nwH85jmNAHMeRQAAAwH+rqmpAHMeRQAAAwH8cx3FAHMeRQAAAwH+O43hAHMeRQAAAwH8AAIBA\\nHMeRQAAAwH85joNAHMeRQAAAwH9yHIdAHMeRQAAAwH+rqopAHMeRQAAAwH/kOI5AHMeRQAAA\\nwH8cx5FAHMeRQAAAwH9VVZVAHMeRQAAAwH+O45hAHMeRQAAAwH/HcZxAHMeRQAAAwH8AAKBA\\nHMeRQAAAwH85jqNAHMeRQAAAwH9yHKdAHMeRQAAAwH+rqqpAHMeRQAAAwH/kOK5AHMeRQAAA\\nwH8cx7FAHMeRQAAAwH9VVbVAHMeRQAAAwH+O47hAHMeRQAAAwH/HcbxAHMeRQAAAwH8AAMBA\\nHMeRQAAAwH85jsNAHMeRQAAAwH9yHMdAHMeRQAAAwH+rqspAHMeRQAAAwH/kOM5AHMeRQAAA\\nwH8cx9FAHMeRQAAAwH9VVdVAHMeRQAAAwH+O49hAHMeRQAAAwH/HcdxAHMeRQAAAwH8AAOBA\\nHMeRQAAAwH85juNAHMeRQAAAwH9yHOdAHMeRQAAAwH+rqupAHMeRQAAAwH/kOO5AHMeRQAAA\\nwH8cx/FAHMeRQAAAwH9VVfVAHMeRQAAAwH+O4/hAHMeRQAAAwH/HcfxAHMeRQAAAwH8AAABB\\nHMeRQAAAwH8cxwFBHMeRQAAAwH85jgNBHMeRQAAAwH9VVQVBHMeRQAAAwH9yHAdBHMeRQAAA\\nwH+O4whBHMeRQAAAwH+rqgpBHMeRQAAAwH/HcQxBHMeRQAAAwH/kOA5BHMeRQAAAwH8AABBB\\nHMeRQAAAwH8cxxFBHMeRQAAAwH85jhNBHMeRQAAAwH9VVRVBHMeRQAAAwH9yHBdBHMeRQAAA\\nwH+O4xhBHMeRQAAAwH+rqhpBHMeRQAAAwH/HcRxBHMeRQAAAwH/kOB5BHMeRQAAAwH8AACBB\\nHMeRQAAAwH8AAIC/VVWVQKuqqr45jmO/VVWVQDmO475yHEe/VVWVQOQ4Dr+rqiq/VVWVQKuq\\nKr/kOA6/VVWVQHIcR785juO+VVWVQDmOY7+rqqq+VVWVQAAAgL85jmO+VVWVQAAAwH85juO9\\nVVWVQAAAwH8AAAAAVVWVQAAAwH85juM9VVWVQAAAwH85jmM+VVWVQAAAwH+rqqo+VVWVQAAA\\nwH85juM+VVWVQAAAwH/kOA4/VVWVQAAAwH+rqio/VVWVQAAAwH9yHEc/VVWVQAAAwH85jmM/\\nVVWVQAAAwH8AAIA/VVWVQAAAwH/kOI4/VVWVQAAAwH/HcZw/VVWVQAAAwH+rqqo/VVWVQAAA\\nwH+O47g/VVWVQAAAwH9yHMc/VVWVQAAAwH9VVdU/VVWVQAAAwH85juM/VVWVQAAAwH8cx/E/\\nVVWVQAAAwH8AAABAVVWVQAAAwH9yHAdAVVWVQAAAwH/kOA5AVVWVQAAAwH9VVRVAVVWVQAAA\\nwH/HcRxAVVWVQAAAwH85jiNAVVWVQAAAwH+rqipAVVWVQAAAwH8cxzFAVVWVQAAAwH+O4zhA\\nVVWVQAAAwH8AAEBAVVWVQAAAwH9yHEdAVVWVQAAAwH/kOE5AVVWVQAAAwH9VVVVAVVWVQAAA\\nwH/HcVxAVVWVQAAAwH85jmNAVVWVQAAAwH+rqmpAVVWVQAAAwH8cx3FAVVWVQAAAwH+O43hA\\nVVWVQAAAwH8AAIBAVVWVQAAAwH85joNAVVWVQAAAwH9yHIdAVVWVQAAAwH+rqopAVVWVQAAA\\nwH/kOI5AVVWVQAAAwH8cx5FAVVWVQAAAwH9VVZVAVVWVQAAAwH+O45hAVVWVQAAAwH/HcZxA\\nVVWVQAAAwH8AAKBAVVWVQAAAwH85jqNAVVWVQAAAwH9yHKdAVVWVQAAAwH+rqqpAVVWVQAAA\\nwH/kOK5AVVWVQAAAwH8cx7FAVVWVQAAAwH9VVbVAVVWVQAAAwH+O47hAVVWVQAAAwH/HcbxA\\nVVWVQAAAwH8AAMBAVVWVQAAAwH85jsNAVVWVQAAAwH9yHMdAVVWVQAAAwH+rqspAVVWVQAAA\\nwH/kOM5AVVWVQAAAwH8cx9FAVVWVQAAAwH9VVdVAVVWVQAAAwH+O49hAVVWVQAAAwH/HcdxA\\nVVWVQAAAwH8AAOBAVVWVQAAAwH85juNAVVWVQAAAwH9yHOdAVVWVQAAAwH+rqupAVVWVQAAA\\nwH/kOO5AVVWVQAAAwH8cx/FAVVWVQAAAwH9VVfVAVVWVQAAAwH+O4/hAVVWVQAAAwH/HcfxA\\nVVWVQAAAwH8AAABBVVWVQAAAwH8cxwFBVVWVQAAAwH85jgNBVVWVQAAAwH9VVQVBVVWVQAAA\\nwH9yHAdBVVWVQAAAwH+O4whBVVWVQAAAwH+rqgpBVVWVQAAAwH/HcQxBVVWVQAAAwH/kOA5B\\nVVWVQAAAwH8AABBBVVWVQAAAwH8cxxFBVVWVQAAAwH85jhNBVVWVQAAAwH9VVRVBVVWVQAAA\\nwH9yHBdBVVWVQAAAwH+O4xhBVVWVQAAAwH+rqhpBVVWVQAAAwH/HcRxBVVWVQAAAwH/kOB5B\\nVVWVQAAAwH8AACBBVVWVQAAAwH8AAIC/juOYQOQ4Dr85jmO/juOYQKuqKr9yHEe/juOYQHIc\\nR7+rqiq/juOYQDmOY7/kOA6/juOYQAAAgL85juO+juOYQAAAwH+rqqq+juOYQAAAwH85jmO+\\njuOYQAAAwH85juO9juOYQAAAwH8AAAAAjuOYQAAAwH85juM9juOYQAAAwH85jmM+juOYQAAA\\nwH+rqqo+juOYQAAAwH85juM+juOYQAAAwH/kOA4/juOYQAAAwH+rqio/juOYQAAAwH9yHEc/\\njuOYQAAAwH85jmM/juOYQAAAwH8AAIA/juOYQAAAwH/kOI4/juOYQAAAwH/HcZw/juOYQAAA\\nwH+rqqo/juOYQAAAwH+O47g/juOYQAAAwH9yHMc/juOYQAAAwH9VVdU/juOYQAAAwH85juM/\\njuOYQAAAwH8cx/E/juOYQAAAwH8AAABAjuOYQAAAwH9yHAdAjuOYQAAAwH/kOA5AjuOYQAAA\\nwH9VVRVAjuOYQAAAwH/HcRxAjuOYQAAAwH85jiNAjuOYQAAAwH+rqipAjuOYQAAAwH8cxzFA\\njuOYQAAAwH+O4zhAjuOYQAAAwH8AAEBAjuOYQAAAwH9yHEdAjuOYQAAAwH/kOE5AjuOYQAAA\\nwH9VVVVAjuOYQAAAwH/HcVxAjuOYQAAAwH85jmNAjuOYQAAAwH+rqmpAjuOYQAAAwH8cx3FA\\njuOYQAAAwH+O43hAjuOYQAAAwH8AAIBAjuOYQAAAwH85joNAjuOYQAAAwH9yHIdAjuOYQAAA\\nwH+rqopAjuOYQAAAwH/kOI5AjuOYQAAAwH8cx5FAjuOYQAAAwH9VVZVAjuOYQAAAwH+O45hA\\njuOYQAAAwH/HcZxAjuOYQAAAwH8AAKBAjuOYQAAAwH85jqNAjuOYQAAAwH9yHKdAjuOYQAAA\\nwH+rqqpAjuOYQAAAwH/kOK5AjuOYQAAAwH8cx7FAjuOYQAAAwH9VVbVAjuOYQAAAwH+O47hA\\njuOYQAAAwH/HcbxAjuOYQAAAwH8AAMBAjuOYQAAAwH85jsNAjuOYQAAAwH9yHMdAjuOYQAAA\\nwH+rqspAjuOYQAAAwH/kOM5AjuOYQAAAwH8cx9FAjuOYQAAAwH9VVdVAjuOYQAAAwH+O49hA\\njuOYQAAAwH/HcdxAjuOYQAAAwH8AAOBAjuOYQAAAwH85juNAjuOYQAAAwH9yHOdAjuOYQAAA\\nwH+rqupAjuOYQAAAwH/kOO5AjuOYQAAAwH8cx/FAjuOYQAAAwH9VVfVAjuOYQAAAwH+O4/hA\\njuOYQAAAwH/HcfxAjuOYQAAAwH8AAABBjuOYQAAAwH8cxwFBjuOYQAAAwH85jgNBjuOYQAAA\\nwH9VVQVBjuOYQAAAwH9yHAdBjuOYQAAAwH+O4whBjuOYQAAAwH+rqgpBjuOYQAAAwH/HcQxB\\njuOYQAAAwH/kOA5BjuOYQAAAwH8AABBBjuOYQAAAwH8cxxFBjuOYQAAAwH85jhNBjuOYQAAA\\nwH9VVRVBjuOYQAAAwH9yHBdBjuOYQAAAwH+O4xhBjuOYQAAAwH+rqhpBjuOYQAAAwH/HcRxB\\njuOYQAAAwH/kOB5BjuOYQAAAwH8AACBBjuOYQAAAwH8AAIC/x3GcQHIcR785jmO/x3GcQDmO\\nY79yHEe/x3GcQAAAgL+rqiq/x3GcQAAAwH/kOA6/x3GcQAAAwH85juO+x3GcQAAAwH+rqqq+\\nx3GcQAAAwH85jmO+x3GcQAAAwH85juO9x3GcQAAAwH8AAAAAx3GcQAAAwH85juM9x3GcQAAA\\nwH85jmM+x3GcQAAAwH+rqqo+x3GcQAAAwH85juM+x3GcQAAAwH/kOA4/x3GcQAAAwH+rqio/\\nx3GcQAAAwH9yHEc/x3GcQAAAwH85jmM/x3GcQAAAwH8AAIA/x3GcQAAAwH/kOI4/x3GcQAAA\\nwH/HcZw/x3GcQAAAwH+rqqo/x3GcQAAAwH+O47g/x3GcQAAAwH9yHMc/x3GcQAAAwH9VVdU/\\nx3GcQAAAwH85juM/x3GcQAAAwH8cx/E/x3GcQAAAwH8AAABAx3GcQAAAwH9yHAdAx3GcQAAA\\nwH/kOA5Ax3GcQAAAwH9VVRVAx3GcQAAAwH/HcRxAx3GcQAAAwH85jiNAx3GcQAAAwH+rqipA\\nx3GcQAAAwH8cxzFAx3GcQAAAwH+O4zhAx3GcQAAAwH8AAEBAx3GcQAAAwH9yHEdAx3GcQAAA\\nwH/kOE5Ax3GcQAAAwH9VVVVAx3GcQAAAwH/HcVxAx3GcQAAAwH85jmNAx3GcQAAAwH+rqmpA\\nx3GcQAAAwH8cx3FAx3GcQAAAwH+O43hAx3GcQAAAwH8AAIBAx3GcQAAAwH85joNAx3GcQAAA\\nwH9yHIdAx3GcQAAAwH+rqopAx3GcQAAAwH/kOI5Ax3GcQAAAwH8cx5FAx3GcQAAAwH9VVZVA\\nx3GcQAAAwH+O45hAx3GcQAAAwH/HcZxAx3GcQAAAwH8AAKBAx3GcQAAAwH85jqNAx3GcQAAA\\nwH9yHKdAx3GcQAAAwH+rqqpAx3GcQAAAwH/kOK5Ax3GcQAAAwH8cx7FAx3GcQAAAwH9VVbVA\\nx3GcQAAAwH+O47hAx3GcQAAAwH/HcbxAx3GcQAAAwH8AAMBAx3GcQAAAwH85jsNAx3GcQAAA\\nwH9yHMdAx3GcQAAAwH+rqspAx3GcQAAAwH/kOM5Ax3GcQAAAwH8cx9FAx3GcQAAAwH9VVdVA\\nx3GcQAAAwH+O49hAx3GcQAAAwH/HcdxAx3GcQAAAwH8AAOBAx3GcQAAAwH85juNAx3GcQAAA\\nwH9yHOdAx3GcQAAAwH+rqupAx3GcQAAAwH/kOO5Ax3GcQAAAwH8cx/FAx3GcQAAAwH9VVfVA\\nx3GcQAAAwH+O4/hAx3GcQAAAwH/HcfxAx3GcQAAAwH8AAABBx3GcQAAAwH8cxwFBx3GcQAAA\\nwH85jgNBx3GcQAAAwH9VVQVBx3GcQAAAwH9yHAdBx3GcQAAAwH+O4whBx3GcQAAAwH+rqgpB\\nx3GcQAAAwH/HcQxBx3GcQAAAwH/kOA5Bx3GcQAAAwH8AABBBx3GcQAAAwH8cxxFBx3GcQAAA\\nwH85jhNBx3GcQAAAwH9VVRVBx3GcQAAAwH9yHBdBx3GcQAAAwH+O4xhBx3GcQAAAwH+rqhpB\\nx3GcQAAAwH/HcRxBx3GcQAAAwH/kOB5Bx3GcQAAAwH8AACBBx3GcQAAAwH8AAIC/AACgQAAA\\ngL85jmO/AACgQAAAwH9yHEe/AACgQAAAwH+rqiq/AACgQAAAwH/kOA6/AACgQAAAwH85juO+\\nAACgQAAAwH+rqqq+AACgQAAAwH85jmO+AACgQAAAwH85juO9AACgQAAAwH8AAAAAAACgQAAA\\nwH85juM9AACgQAAAwH85jmM+AACgQAAAwH+rqqo+AACgQAAAwH85juM+AACgQAAAwH/kOA4/\\nAACgQAAAwH+rqio/AACgQAAAwH9yHEc/AACgQAAAwH85jmM/AACgQAAAwH8AAIA/AACgQAAA\\nwH/kOI4/AACgQAAAwH/HcZw/AACgQAAAwH+rqqo/AACgQAAAwH+O47g/AACgQAAAwH9yHMc/\\nAACgQAAAwH9VVdU/AACgQAAAwH85juM/AACgQAAAwH8cx/E/AACgQAAAwH8AAABAAACgQAAA\\nwH9yHAdAAACgQAAAwH/kOA5AAACgQAAAwH9VVRVAAACgQAAAwH/HcRxAAACgQAAAwH85jiNA\\nAACgQAAAwH+rqipAAACgQAAAwH8cxzFAAACgQAAAwH+O4zhAAACgQAAAwH8AAEBAAACgQAAA\\nwH9yHEdAAACgQAAAwH/kOE5AAACgQAAAwH9VVVVAAACgQAAAwH/HcVxAAACgQAAAwH85jmNA\\nAACgQAAAwH+rqmpAAACgQAAAwH8cx3FAAACgQAAAwH+O43hAAACgQAAAwH8AAIBAAACgQAAA\\nwH85joNAAACgQAAAwH9yHIdAAACgQAAAwH+rqopAAACgQAAAwH/kOI5AAACgQAAAwH8cx5FA\\nAACgQAAAwH9VVZVAAACgQAAAwH+O45hAAACgQAAAwH/HcZxAAACgQAAAwH8AAKBAAACgQAAA\\nwH85jqNAAACgQAAAwH9yHKdAAACgQAAAwH+rqqpAAACgQAAAwH/kOK5AAACgQAAAwH8cx7FA\\nAACgQAAAwH9VVbVAAACgQAAAwH+O47hAAACgQAAAwH/HcbxAAACgQAAAwH8AAMBAAACgQAAA\\nwH85jsNAAACgQAAAwH9yHMdAAACgQAAAwH+rqspAAACgQAAAwH/kOM5AAACgQAAAwH8cx9FA\\nAACgQAAAwH9VVdVAAACgQAAAwH+O49hAAACgQAAAwH/HcdxAAACgQAAAwH8AAOBAAACgQAAA\\nwH85juNAAACgQAAAwH9yHOdAAACgQAAAwH+rqupAAACgQAAAwH/kOO5AAACgQAAAwH8cx/FA\\nAACgQAAAwH9VVfVAAACgQAAAwH+O4/hAAACgQAAAwH/HcfxAAACgQAAAwH8AAABBAACgQAAA\\nwH8cxwFBAACgQAAAwH85jgNBAACgQAAAwH9VVQVBAACgQAAAwH9yHAdBAACgQAAAwH+O4whB\\nAACgQAAAwH+rqgpBAACgQAAAwH/HcQxBAACgQAAAwH/kOA5BAACgQAAAwH8AABBBAACgQAAA\\nwH8cxxFBAACgQAAAwH85jhNBAACgQAAAwH9VVRVBAACgQAAAwH9yHBdBAACgQAAAwH+O4xhB\\nAACgQAAAwH+rqhpBAACgQAAAwH/HcRxBAACgQAAAwH/kOB5BAACgQAAAwH8AACBBAACgQAAA\\nwH8AAIC/OY6jQAAAwH85jmO/OY6jQAAAwH9yHEe/OY6jQAAAwH+rqiq/OY6jQAAAwH/kOA6/\\nOY6jQAAAwH85juO+OY6jQAAAwH+rqqq+OY6jQAAAwH85jmO+OY6jQAAAwH85juO9OY6jQAAA\\nwH8AAAAAOY6jQAAAwH85juM9OY6jQAAAwH85jmM+OY6jQAAAwH+rqqo+OY6jQAAAwH85juM+\\nOY6jQAAAwH/kOA4/OY6jQAAAwH+rqio/OY6jQAAAwH9yHEc/OY6jQAAAwH85jmM/OY6jQAAA\\nwH8AAIA/OY6jQAAAwH/kOI4/OY6jQAAAwH/HcZw/OY6jQAAAwH+rqqo/OY6jQAAAwH+O47g/\\nOY6jQAAAwH9yHMc/OY6jQAAAwH9VVdU/OY6jQAAAwH85juM/OY6jQAAAwH8cx/E/OY6jQAAA\\nwH8AAABAOY6jQAAAwH9yHAdAOY6jQAAAwH/kOA5AOY6jQAAAwH9VVRVAOY6jQAAAwH/HcRxA\\nOY6jQAAAwH85jiNAOY6jQAAAwH+rqipAOY6jQAAAwH8cxzFAOY6jQAAAwH+O4zhAOY6jQAAA\\nwH8AAEBAOY6jQAAAwH9yHEdAOY6jQAAAwH/kOE5AOY6jQAAAwH9VVVVAOY6jQAAAwH/HcVxA\\nOY6jQAAAwH85jmNAOY6jQAAAwH+rqmpAOY6jQAAAwH8cx3FAOY6jQAAAwH+O43hAOY6jQAAA\\nwH8AAIBAOY6jQAAAwH85joNAOY6jQAAAwH9yHIdAOY6jQAAAwH+rqopAOY6jQAAAwH/kOI5A\\nOY6jQAAAwH8cx5FAOY6jQAAAwH9VVZVAOY6jQAAAwH+O45hAOY6jQAAAwH/HcZxAOY6jQAAA\\nwH8AAKBAOY6jQAAAwH85jqNAOY6jQAAAwH9yHKdAOY6jQAAAwH+rqqpAOY6jQAAAwH/kOK5A\\nOY6jQAAAwH8cx7FAOY6jQAAAwH9VVbVAOY6jQAAAwH+O47hAOY6jQAAAwH/HcbxAOY6jQAAA\\nwH8AAMBAOY6jQAAAwH85jsNAOY6jQAAAwH9yHMdAOY6jQAAAwH+rqspAOY6jQAAAwH/kOM5A\\nOY6jQAAAwH8cx9FAOY6jQAAAwH9VVdVAOY6jQAAAwH+O49hAOY6jQAAAwH/HcdxAOY6jQAAA\\nwH8AAOBAOY6jQAAAwH85juNAOY6jQAAAwH9yHOdAOY6jQAAAwH+rqupAOY6jQAAAwH/kOO5A\\nOY6jQAAAwH8cx/FAOY6jQAAAwH9VVfVAOY6jQAAAwH+O4/hAOY6jQAAAwH/HcfxAOY6jQAAA\\nwH8AAABBOY6jQAAAwH8cxwFBOY6jQAAAwH85jgNBOY6jQAAAwH9VVQVBOY6jQAAAwH9yHAdB\\nOY6jQAAAwH+O4whBOY6jQAAAwH+rqgpBOY6jQAAAwH/HcQxBOY6jQAAAwH/kOA5BOY6jQAAA\\nwH8AABBBOY6jQAAAwH8cxxFBOY6jQAAAwH85jhNBOY6jQAAAwH9VVRVBOY6jQAAAwH9yHBdB\\nOY6jQAAAwH+O4xhBOY6jQAAAwH+rqhpBOY6jQAAAwH/HcRxBOY6jQAAAwH/kOB5BOY6jQAAA\\nwH8AACBBOY6jQAAAwH8AAIC/chynQAAAwH85jmO/chynQAAAwH9yHEe/chynQAAAwH+rqiq/\\nchynQAAAwH/kOA6/chynQAAAwH85juO+chynQAAAwH+rqqq+chynQAAAwH85jmO+chynQAAA\\nwH85juO9chynQAAAwH8AAAAAchynQAAAwH85juM9chynQAAAwH85jmM+chynQAAAwH+rqqo+\\nchynQAAAwH85juM+chynQAAAwH/kOA4/chynQAAAwH+rqio/chynQAAAwH9yHEc/chynQAAA\\nwH85jmM/chynQAAAwH8AAIA/chynQAAAwH/kOI4/chynQAAAwH/HcZw/chynQAAAwH+rqqo/\\nchynQAAAwH+O47g/chynQAAAwH9yHMc/chynQAAAwH9VVdU/chynQAAAwH85juM/chynQAAA\\nwH8cx/E/chynQAAAwH8AAABAchynQAAAwH9yHAdAchynQAAAwH/kOA5AchynQAAAwH9VVRVA\\nchynQAAAwH/HcRxAchynQAAAwH85jiNAchynQAAAwH+rqipAchynQAAAwH8cxzFAchynQAAA\\nwH+O4zhAchynQAAAwH8AAEBAchynQAAAwH9yHEdAchynQAAAwH/kOE5AchynQAAAwH9VVVVA\\nchynQAAAwH/HcVxAchynQAAAwH85jmNAchynQAAAwH+rqmpAchynQAAAwH8cx3FAchynQAAA\\nwH+O43hAchynQAAAwH8AAIBAchynQAAAwH85joNAchynQAAAwH9yHIdAchynQAAAwH+rqopA\\nchynQAAAwH/kOI5AchynQAAAwH8cx5FAchynQAAAwH9VVZVAchynQAAAwH+O45hAchynQAAA\\nwH/HcZxAchynQAAAwH8AAKBAchynQAAAwH85jqNAchynQAAAwH9yHKdAchynQAAAwH+rqqpA\\nchynQAAAwH/kOK5AchynQAAAwH8cx7FAchynQAAAwH9VVbVAchynQAAAwH+O47hAchynQAAA\\nwH/HcbxAchynQAAAwH8AAMBAchynQAAAwH85jsNAchynQAAAwH9yHMdAchynQAAAwH+rqspA\\nchynQAAAwH/kOM5AchynQAAAwH8cx9FAchynQAAAwH9VVdVAchynQAAAwH+O49hAchynQAAA\\nwH/HcdxAchynQAAAwH8AAOBAchynQAAAwH85juNAchynQAAAwH9yHOdAchynQAAAwH+rqupA\\nchynQAAAwH/kOO5AchynQAAAwH8cx/FAchynQAAAwH9VVfVAchynQAAAwH+O4/hAchynQAAA\\nwH/HcfxAchynQAAAwH8AAABBchynQAAAwH8cxwFBchynQAAAwH85jgNBchynQAAAwH9VVQVB\\nchynQAAAwH9yHAdBchynQAAAwH+O4whBchynQAAAwH+rqgpBchynQAAAwH/HcQxBchynQAAA\\nwH/kOA5BchynQAAAwH8AABBBchynQAAAwH8cxxFBchynQAAAwH85jhNBchynQAAAwH9VVRVB\\nchynQAAAwH9yHBdBchynQAAAwH+O4xhBchynQAAAwH+rqhpBchynQAAAwH/HcRxBchynQAAA\\nwH/kOB5BchynQAAAwH8AACBBchynQAAAwH8AAIC/q6qqQAAAwH85jmO/q6qqQAAAwH9yHEe/\\nq6qqQAAAwH+rqiq/q6qqQAAAwH/kOA6/q6qqQAAAwH85juO+q6qqQAAAwH+rqqq+q6qqQAAA\\nwH85jmO+q6qqQAAAwH85juO9q6qqQAAAwH8AAAAAq6qqQAAAwH85juM9q6qqQAAAwH85jmM+\\nq6qqQAAAwH+rqqo+q6qqQAAAwH85juM+q6qqQAAAwH/kOA4/q6qqQAAAwH+rqio/q6qqQAAA\\nwH9yHEc/q6qqQAAAwH85jmM/q6qqQAAAwH8AAIA/q6qqQAAAwH/kOI4/q6qqQAAAwH/HcZw/\\nq6qqQAAAwH+rqqo/q6qqQAAAwH+O47g/q6qqQAAAwH9yHMc/q6qqQAAAwH9VVdU/q6qqQAAA\\nwH85juM/q6qqQAAAwH8cx/E/q6qqQAAAwH8AAABAq6qqQAAAwH9yHAdAq6qqQAAAwH/kOA5A\\nq6qqQAAAwH9VVRVAq6qqQAAAwH/HcRxAq6qqQAAAwH85jiNAq6qqQAAAwH+rqipAq6qqQAAA\\nwH8cxzFAq6qqQAAAwH+O4zhAq6qqQAAAwH8AAEBAq6qqQAAAwH9yHEdAq6qqQAAAwH/kOE5A\\nq6qqQAAAwH9VVVVAq6qqQAAAwH/HcVxAq6qqQAAAwH85jmNAq6qqQAAAwH+rqmpAq6qqQAAA\\nwH8cx3FAq6qqQAAAwH+O43hAq6qqQAAAwH8AAIBAq6qqQAAAwH85joNAq6qqQAAAwH9yHIdA\\nq6qqQAAAwH+rqopAq6qqQAAAwH/kOI5Aq6qqQAAAwH8cx5FAq6qqQAAAwH9VVZVAq6qqQAAA\\nwH+O45hAq6qqQAAAwH/HcZxAq6qqQAAAwH8AAKBAq6qqQAAAwH85jqNAq6qqQAAAwH9yHKdA\\nq6qqQAAAwH+rqqpAq6qqQAAAwH/kOK5Aq6qqQAAAwH8cx7FAq6qqQAAAwH9VVbVAq6qqQAAA\\nwH+O47hAq6qqQAAAwH/HcbxAq6qqQAAAwH8AAMBAq6qqQAAAwH85jsNAq6qqQAAAwH9yHMdA\\nq6qqQAAAwH+rqspAq6qqQAAAwH/kOM5Aq6qqQAAAwH8cx9FAq6qqQAAAwH9VVdVAq6qqQAAA\\nwH+O49hAq6qqQAAAwH/HcdxAq6qqQAAAwH8AAOBAq6qqQAAAwH85juNAq6qqQAAAwH9yHOdA\\nq6qqQAAAwH+rqupAq6qqQAAAwH/kOO5Aq6qqQAAAwH8cx/FAq6qqQAAAwH9VVfVAq6qqQAAA\\nwH+O4/hAq6qqQAAAwH/HcfxAq6qqQAAAwH8AAABBq6qqQAAAwH8cxwFBq6qqQAAAwH85jgNB\\nq6qqQAAAwH9VVQVBq6qqQAAAwH9yHAdBq6qqQAAAwH+O4whBq6qqQAAAwH+rqgpBq6qqQAAA\\nwH/HcQxBq6qqQAAAwH/kOA5Bq6qqQAAAwH8AABBBq6qqQAAAwH8cxxFBq6qqQAAAwH85jhNB\\nq6qqQAAAwH9VVRVBq6qqQAAAwH9yHBdBq6qqQAAAwH+O4xhBq6qqQAAAwH+rqhpBq6qqQAAA\\nwH/HcRxBq6qqQAAAwH/kOB5Bq6qqQAAAwH8AACBBq6qqQAAAwH8AAIC/5DiuQAAAwH85jmO/\\n5DiuQAAAwH9yHEe/5DiuQAAAwH+rqiq/5DiuQAAAwH/kOA6/5DiuQAAAwH85juO+5DiuQAAA\\nwH+rqqq+5DiuQAAAwH85jmO+5DiuQAAAwH85juO95DiuQAAAwH8AAAAA5DiuQAAAwH85juM9\\n5DiuQAAAwH85jmM+5DiuQAAAwH+rqqo+5DiuQAAAwH85juM+5DiuQAAAwH/kOA4/5DiuQAAA\\nwH+rqio/5DiuQAAAwH9yHEc/5DiuQAAAwH85jmM/5DiuQAAAwH8AAIA/5DiuQAAAwH/kOI4/\\n5DiuQAAAwH/HcZw/5DiuQAAAwH+rqqo/5DiuQAAAwH+O47g/5DiuQAAAwH9yHMc/5DiuQAAA\\nwH9VVdU/5DiuQAAAwH85juM/5DiuQAAAwH8cx/E/5DiuQAAAwH8AAABA5DiuQAAAwH9yHAdA\\n5DiuQAAAwH/kOA5A5DiuQAAAwH9VVRVA5DiuQAAAwH/HcRxA5DiuQAAAwH85jiNA5DiuQAAA\\nwH+rqipA5DiuQAAAwH8cxzFA5DiuQAAAwH+O4zhA5DiuQAAAwH8AAEBA5DiuQAAAwH9yHEdA\\n5DiuQAAAwH/kOE5A5DiuQAAAwH9VVVVA5DiuQAAAwH/HcVxA5DiuQAAAwH85jmNA5DiuQAAA\\nwH+rqmpA5DiuQAAAwH8cx3FA5DiuQAAAwH+O43hA5DiuQAAAwH8AAIBA5DiuQAAAwH85joNA\\n5DiuQAAAwH9yHIdA5DiuQAAAwH+rqopA5DiuQAAAwH/kOI5A5DiuQAAAwH8cx5FA5DiuQAAA\\nwH9VVZVA5DiuQAAAwH+O45hA5DiuQAAAwH/HcZxA5DiuQAAAwH8AAKBA5DiuQAAAwH85jqNA\\n5DiuQAAAwH9yHKdA5DiuQAAAwH+rqqpA5DiuQAAAwH/kOK5A5DiuQAAAwH8cx7FA5DiuQAAA\\nwH9VVbVA5DiuQAAAwH+O47hA5DiuQAAAwH/HcbxA5DiuQAAAwH8AAMBA5DiuQAAAwH85jsNA\\n5DiuQAAAwH9yHMdA5DiuQAAAwH+rqspA5DiuQAAAwH/kOM5A5DiuQAAAwH8cx9FA5DiuQAAA\\nwH9VVdVA5DiuQAAAwH+O49hA5DiuQAAAwH/HcdxA5DiuQAAAwH8AAOBA5DiuQAAAwH85juNA\\n5DiuQAAAwH9yHOdA5DiuQAAAwH+rqupA5DiuQAAAwH/kOO5A5DiuQAAAwH8cx/FA5DiuQAAA\\nwH9VVfVA5DiuQAAAwH+O4/hA5DiuQAAAwH/HcfxA5DiuQAAAwH8AAABB5DiuQAAAwH8cxwFB\\n5DiuQAAAwH85jgNB5DiuQAAAwH9VVQVB5DiuQAAAwH9yHAdB5DiuQAAAwH+O4whB5DiuQAAA\\nwH+rqgpB5DiuQAAAwH/HcQxB5DiuQAAAwH/kOA5B5DiuQAAAwH8AABBB5DiuQAAAwH8cxxFB\\n5DiuQAAAwH85jhNB5DiuQAAAwH9VVRVB5DiuQAAAwH9yHBdB5DiuQAAAwH+O4xhB5DiuQAAA\\nwH+rqhpB5DiuQAAAwH/HcRxB5DiuQAAAwH/kOB5B5DiuQAAAwH8AACBB5DiuQAAAwH8AAIC/\\nHMexQAAAwH85jmO/HMexQAAAwH9yHEe/HMexQAAAwH+rqiq/HMexQAAAwH/kOA6/HMexQAAA\\nwH85juO+HMexQAAAwH+rqqq+HMexQAAAwH85jmO+HMexQAAAwH85juO9HMexQAAAwH8AAAAA\\nHMexQAAAwH85juM9HMexQAAAwH85jmM+HMexQAAAwH+rqqo+HMexQAAAwH85juM+HMexQAAA\\nwH/kOA4/HMexQAAAwH+rqio/HMexQAAAwH9yHEc/HMexQAAAwH85jmM/HMexQAAAwH8AAIA/\\nHMexQAAAwH/kOI4/HMexQAAAwH/HcZw/HMexQAAAwH+rqqo/HMexQAAAwH+O47g/HMexQAAA\\nwH9yHMc/HMexQAAAwH9VVdU/HMexQAAAwH85juM/HMexQAAAwH8cx/E/HMexQAAAwH8AAABA\\nHMexQAAAwH9yHAdAHMexQAAAwH/kOA5AHMexQAAAwH9VVRVAHMexQAAAwH/HcRxAHMexQAAA\\nwH85jiNAHMexQAAAwH+rqipAHMexQAAAwH8cxzFAHMexQAAAwH+O4zhAHMexQAAAwH8AAEBA\\nHMexQAAAwH9yHEdAHMexQAAAwH/kOE5AHMexQAAAwH9VVVVAHMexQAAAwH/HcVxAHMexQAAA\\nwH85jmNAHMexQAAAwH+rqmpAHMexQAAAwH8cx3FAHMexQAAAwH+O43hAHMexQAAAwH8AAIBA\\nHMexQAAAwH85joNAHMexQAAAwH9yHIdAHMexQAAAwH+rqopAHMexQAAAwH/kOI5AHMexQAAA\\nwH8cx5FAHMexQAAAwH9VVZVAHMexQAAAwH+O45hAHMexQAAAwH/HcZxAHMexQAAAwH8AAKBA\\nHMexQAAAwH85jqNAHMexQAAAwH9yHKdAHMexQAAAwH+rqqpAHMexQAAAwH/kOK5AHMexQAAA\\nwH8cx7FAHMexQAAAwH9VVbVAHMexQAAAwH+O47hAHMexQAAAwH/HcbxAHMexQAAAwH8AAMBA\\nHMexQAAAwH85jsNAHMexQAAAwH9yHMdAHMexQAAAwH+rqspAHMexQAAAwH/kOM5AHMexQAAA\\nwH8cx9FAHMexQAAAwH9VVdVAHMexQAAAwH+O49hAHMexQAAAwH/HcdxAHMexQAAAwH8AAOBA\\nHMexQAAAwH85juNAHMexQAAAwH9yHOdAHMexQAAAwH+rqupAHMexQAAAwH/kOO5AHMexQAAA\\nwH8cx/FAHMexQAAAwH9VVfVAHMexQAAAwH+O4/hAHMexQAAAwH/HcfxAHMexQAAAwH8AAABB\\nHMexQAAAwH8cxwFBHMexQAAAwH85jgNBHMexQAAAwH9VVQVBHMexQAAAwH9yHAdBHMexQAAA\\nwH+O4whBHMexQAAAwH+rqgpBHMexQAAAwH/HcQxBHMexQAAAwH/kOA5BHMexQAAAwH8AABBB\\nHMexQAAAwH8cxxFBHMexQAAAwH85jhNBHMexQAAAwH9VVRVBHMexQAAAwH9yHBdBHMexQAAA\\nwH+O4xhBHMexQAAAwH+rqhpBHMexQAAAwH/HcRxBHMexQAAAwH/kOB5BHMexQAAAwH8AACBB\\nHMexQAAAwH8AAIC/VVW1QAAAwH85jmO/VVW1QAAAwH9yHEe/VVW1QAAAwH+rqiq/VVW1QAAA\\nwH/kOA6/VVW1QAAAwH85juO+VVW1QAAAwH+rqqq+VVW1QAAAwH85jmO+VVW1QAAAwH85juO9\\nVVW1QAAAwH8AAAAAVVW1QAAAwH85juM9VVW1QAAAwH85jmM+VVW1QAAAwH+rqqo+VVW1QAAA\\nwH85juM+VVW1QAAAwH/kOA4/VVW1QAAAwH+rqio/VVW1QAAAwH9yHEc/VVW1QAAAwH85jmM/\\nVVW1QAAAwH8AAIA/VVW1QAAAwH/kOI4/VVW1QAAAwH/HcZw/VVW1QAAAwH+rqqo/VVW1QAAA\\nwH+O47g/VVW1QAAAwH9yHMc/VVW1QAAAwH9VVdU/VVW1QAAAwH85juM/VVW1QAAAwH8cx/E/\\nVVW1QAAAwH8AAABAVVW1QAAAwH9yHAdAVVW1QAAAwH/kOA5AVVW1QAAAwH9VVRVAVVW1QAAA\\nwH/HcRxAVVW1QAAAwH85jiNAVVW1QAAAwH+rqipAVVW1QAAAwH8cxzFAVVW1QAAAwH+O4zhA\\nVVW1QAAAwH8AAEBAVVW1QAAAwH9yHEdAVVW1QAAAwH/kOE5AVVW1QAAAwH9VVVVAVVW1QAAA\\nwH/HcVxAVVW1QAAAwH85jmNAVVW1QAAAwH+rqmpAVVW1QAAAwH8cx3FAVVW1QAAAwH+O43hA\\nVVW1QAAAwH8AAIBAVVW1QAAAwH85joNAVVW1QAAAwH9yHIdAVVW1QAAAwH+rqopAVVW1QAAA\\nwH/kOI5AVVW1QAAAwH8cx5FAVVW1QAAAwH9VVZVAVVW1QAAAwH+O45hAVVW1QAAAwH/HcZxA\\nVVW1QAAAwH8AAKBAVVW1QAAAwH85jqNAVVW1QAAAwH9yHKdAVVW1QAAAwH+rqqpAVVW1QAAA\\nwH/kOK5AVVW1QAAAwH8cx7FAVVW1QAAAwH9VVbVAVVW1QAAAwH+O47hAVVW1QAAAwH/HcbxA\\nVVW1QAAAwH8AAMBAVVW1QAAAwH85jsNAVVW1QAAAwH9yHMdAVVW1QAAAwH+rqspAVVW1QAAA\\nwH/kOM5AVVW1QAAAwH8cx9FAVVW1QAAAwH9VVdVAVVW1QAAAwH+O49hAVVW1QAAAwH/HcdxA\\nVVW1QAAAwH8AAOBAVVW1QAAAwH85juNAVVW1QAAAwH9yHOdAVVW1QAAAwH+rqupAVVW1QAAA\\nwH/kOO5AVVW1QAAAwH8cx/FAVVW1QAAAwH9VVfVAVVW1QAAAwH+O4/hAVVW1QAAAwH/HcfxA\\nVVW1QAAAwH8AAABBVVW1QAAAwH8cxwFBVVW1QAAAwH85jgNBVVW1QAAAwH9VVQVBVVW1QAAA\\nwH9yHAdBVVW1QAAAwH+O4whBVVW1QAAAwH+rqgpBVVW1QAAAwH/HcQxBVVW1QAAAwH/kOA5B\\nVVW1QAAAwH8AABBBVVW1QAAAwH8cxxFBVVW1QAAAwH85jhNBVVW1QAAAwH9VVRVBVVW1QAAA\\nwH9yHBdBVVW1QAAAwH+O4xhBVVW1QAAAwH+rqhpBVVW1QAAAwH/HcRxBVVW1QAAAwH/kOB5B\\nVVW1QAAAwH8AACBBVVW1QAAAwH8AAIC/juO4QAAAwH85jmO/juO4QAAAwH9yHEe/juO4QAAA\\nwH+rqiq/juO4QAAAwH/kOA6/juO4QAAAwH85juO+juO4QAAAwH+rqqq+juO4QAAAwH85jmO+\\njuO4QAAAwH85juO9juO4QAAAwH8AAAAAjuO4QAAAwH85juM9juO4QAAAwH85jmM+juO4QAAA\\nwH+rqqo+juO4QAAAwH85juM+juO4QAAAwH/kOA4/juO4QAAAwH+rqio/juO4QAAAwH9yHEc/\\njuO4QAAAwH85jmM/juO4QAAAwH8AAIA/juO4QAAAwH/kOI4/juO4QAAAwH/HcZw/juO4QAAA\\nwH+rqqo/juO4QAAAwH+O47g/juO4QAAAwH9yHMc/juO4QAAAwH9VVdU/juO4QAAAwH85juM/\\njuO4QAAAwH8cx/E/juO4QAAAwH8AAABAjuO4QAAAwH9yHAdAjuO4QAAAwH/kOA5AjuO4QAAA\\nwH9VVRVAjuO4QAAAwH/HcRxAjuO4QAAAwH85jiNAjuO4QAAAwH+rqipAjuO4QAAAwH8cxzFA\\njuO4QAAAwH+O4zhAjuO4QAAAwH8AAEBAjuO4QAAAwH9yHEdAjuO4QAAAwH/kOE5AjuO4QAAA\\nwH9VVVVAjuO4QAAAwH/HcVxAjuO4QAAAwH85jmNAjuO4QAAAwH+rqmpAjuO4QAAAwH8cx3FA\\njuO4QAAAwH+O43hAjuO4QAAAwH8AAIBAjuO4QAAAwH85joNAjuO4QAAAwH9yHIdAjuO4QAAA\\nwH+rqopAjuO4QAAAwH/kOI5AjuO4QAAAwH8cx5FAjuO4QAAAwH9VVZVAjuO4QAAAwH+O45hA\\njuO4QAAAwH/HcZxAjuO4QAAAwH8AAKBAjuO4QAAAwH85jqNAjuO4QAAAwH9yHKdAjuO4QAAA\\nwH+rqqpAjuO4QAAAwH/kOK5AjuO4QAAAwH8cx7FAjuO4QAAAwH9VVbVAjuO4QAAAwH+O47hA\\njuO4QAAAwH/HcbxAjuO4QAAAwH8AAMBAjuO4QAAAwH85jsNAjuO4QAAAwH9yHMdAjuO4QAAA\\nwH+rqspAjuO4QAAAwH/kOM5AjuO4QAAAwH8cx9FAjuO4QAAAwH9VVdVAjuO4QAAAwH+O49hA\\njuO4QAAAwH/HcdxAjuO4QAAAwH8AAOBAjuO4QAAAwH85juNAjuO4QAAAwH9yHOdAjuO4QAAA\\nwH+rqupAjuO4QAAAwH/kOO5AjuO4QAAAwH8cx/FAjuO4QAAAwH9VVfVAjuO4QAAAwH+O4/hA\\njuO4QAAAwH/HcfxAjuO4QAAAwH8AAABBjuO4QAAAwH8cxwFBjuO4QAAAwH85jgNBjuO4QAAA\\nwH9VVQVBjuO4QAAAwH9yHAdBjuO4QAAAwH+O4whBjuO4QAAAwH+rqgpBjuO4QAAAwH/HcQxB\\njuO4QAAAwH/kOA5BjuO4QAAAwH8AABBBjuO4QAAAwH8cxxFBjuO4QAAAwH85jhNBjuO4QAAA\\nwH9VVRVBjuO4QAAAwH9yHBdBjuO4QAAAwH+O4xhBjuO4QAAAwH+rqhpBjuO4QAAAwH/HcRxB\\njuO4QAAAwH/kOB5BjuO4QAAAwH8AACBBjuO4QAAAwH8AAIC/x3G8QAAAwH85jmO/x3G8QAAA\\nwH9yHEe/x3G8QAAAwH+rqiq/x3G8QAAAwH/kOA6/x3G8QAAAwH85juO+x3G8QAAAwH+rqqq+\\nx3G8QAAAwH85jmO+x3G8QAAAwH85juO9x3G8QAAAwH8AAAAAx3G8QAAAwH85juM9x3G8QAAA\\nwH85jmM+x3G8QAAAwH+rqqo+x3G8QAAAwH85juM+x3G8QAAAwH/kOA4/x3G8QAAAwH+rqio/\\nx3G8QAAAwH9yHEc/x3G8QAAAwH85jmM/x3G8QAAAwH8AAIA/x3G8QAAAwH/kOI4/x3G8QAAA\\nwH/HcZw/x3G8QAAAwH+rqqo/x3G8QAAAwH+O47g/x3G8QAAAwH9yHMc/x3G8QAAAwH9VVdU/\\nx3G8QAAAwH85juM/x3G8QAAAwH8cx/E/x3G8QAAAwH8AAABAx3G8QAAAwH9yHAdAx3G8QAAA\\nwH/kOA5Ax3G8QAAAwH9VVRVAx3G8QAAAwH/HcRxAx3G8QAAAwH85jiNAx3G8QAAAwH+rqipA\\nx3G8QAAAwH8cxzFAx3G8QAAAwH+O4zhAx3G8QAAAwH8AAEBAx3G8QAAAwH9yHEdAx3G8QAAA\\nwH/kOE5Ax3G8QAAAwH9VVVVAx3G8QAAAwH/HcVxAx3G8QAAAwH85jmNAx3G8QAAAwH+rqmpA\\nx3G8QAAAwH8cx3FAx3G8QAAAwH+O43hAx3G8QAAAwH8AAIBAx3G8QAAAwH85joNAx3G8QAAA\\nwH9yHIdAx3G8QAAAwH+rqopAx3G8QAAAwH/kOI5Ax3G8QAAAwH8cx5FAx3G8QAAAwH9VVZVA\\nx3G8QAAAwH+O45hAx3G8QAAAwH/HcZxAx3G8QAAAwH8AAKBAx3G8QAAAwH85jqNAx3G8QAAA\\nwH9yHKdAx3G8QAAAwH+rqqpAx3G8QAAAwH/kOK5Ax3G8QAAAwH8cx7FAx3G8QAAAwH9VVbVA\\nx3G8QAAAwH+O47hAx3G8QAAAwH/HcbxAx3G8QAAAwH8AAMBAx3G8QAAAwH85jsNAx3G8QAAA\\nwH9yHMdAx3G8QAAAwH+rqspAx3G8QAAAwH/kOM5Ax3G8QAAAwH8cx9FAx3G8QAAAwH9VVdVA\\nx3G8QAAAwH+O49hAx3G8QAAAwH/HcdxAx3G8QAAAwH8AAOBAx3G8QAAAwH85juNAx3G8QAAA\\nwH9yHOdAx3G8QAAAwH+rqupAx3G8QAAAwH/kOO5Ax3G8QAAAwH8cx/FAx3G8QAAAwH9VVfVA\\nx3G8QAAAwH+O4/hAx3G8QAAAwH/HcfxAx3G8QAAAwH8AAABBx3G8QAAAwH8cxwFBx3G8QAAA\\nwH85jgNBx3G8QAAAwH9VVQVBx3G8QAAAwH9yHAdBx3G8QAAAwH+O4whBx3G8QAAAwH+rqgpB\\nx3G8QAAAwH/HcQxBx3G8QAAAwH/kOA5Bx3G8QAAAwH8AABBBx3G8QAAAwH8cxxFBx3G8QAAA\\nwH85jhNBx3G8QAAAwH9VVRVBx3G8QAAAwH9yHBdBx3G8QAAAwH+O4xhBx3G8QAAAwH+rqhpB\\nx3G8QAAAwH/HcRxBx3G8QAAAwH/kOB5Bx3G8QAAAwH8AACBBx3G8QAAAwH8AAIC/AADAQAAA\\nwH85jmO/AADAQAAAwH9yHEe/AADAQAAAwH+rqiq/AADAQAAAwH/kOA6/AADAQAAAwH85juO+\\nAADAQAAAwH+rqqq+AADAQAAAwH85jmO+AADAQAAAwH85juO9AADAQAAAwH8AAAAAAADAQAAA\\nwH85juM9AADAQAAAwH85jmM+AADAQAAAwH+rqqo+AADAQAAAwH85juM+AADAQAAAwH/kOA4/\\nAADAQAAAwH+rqio/AADAQAAAwH9yHEc/AADAQAAAwH85jmM/AADAQAAAwH8AAIA/AADAQAAA\\nwH/kOI4/AADAQAAAwH/HcZw/AADAQAAAwH+rqqo/AADAQAAAwH+O47g/AADAQAAAwH9yHMc/\\nAADAQAAAwH9VVdU/AADAQAAAwH85juM/AADAQAAAwH8cx/E/AADAQAAAwH8AAABAAADAQAAA\\nwH9yHAdAAADAQAAAwH/kOA5AAADAQAAAwH9VVRVAAADAQAAAwH/HcRxAAADAQAAAwH85jiNA\\nAADAQAAAwH+rqipAAADAQAAAwH8cxzFAAADAQAAAwH+O4zhAAADAQAAAwH8AAEBAAADAQAAA\\nwH9yHEdAAADAQAAAwH/kOE5AAADAQAAAwH9VVVVAAADAQAAAwH/HcVxAAADAQAAAwH85jmNA\\nAADAQAAAwH+rqmpAAADAQAAAwH8cx3FAAADAQAAAwH+O43hAAADAQAAAwH8AAIBAAADAQAAA\\nwH85joNAAADAQAAAwH9yHIdAAADAQAAAwH+rqopAAADAQAAAwH/kOI5AAADAQAAAwH8cx5FA\\nAADAQAAAwH9VVZVAAADAQAAAwH+O45hAAADAQAAAwH/HcZxAAADAQAAAwH8AAKBAAADAQAAA\\nwH85jqNAAADAQAAAwH9yHKdAAADAQAAAwH+rqqpAAADAQAAAwH/kOK5AAADAQAAAwH8cx7FA\\nAADAQAAAwH9VVbVAAADAQAAAwH+O47hAAADAQAAAwH/HcbxAAADAQAAAwH8AAMBAAADAQAAA\\nwH85jsNAAADAQAAAwH9yHMdAAADAQAAAwH+rqspAAADAQAAAwH/kOM5AAADAQAAAwH8cx9FA\\nAADAQAAAwH9VVdVAAADAQAAAwH+O49hAAADAQAAAwH/HcdxAAADAQAAAwH8AAOBAAADAQAAA\\nwH85juNAAADAQAAAwH9yHOdAAADAQAAAwH+rqupAAADAQAAAwH/kOO5AAADAQAAAwH8cx/FA\\nAADAQAAAwH9VVfVAAADAQAAAwH+O4/hAAADAQAAAwH/HcfxAAADAQAAAwH8AAABBAADAQAAA\\nwH8cxwFBAADAQAAAwH85jgNBAADAQAAAwH9VVQVBAADAQAAAwH9yHAdBAADAQAAAwH+O4whB\\nAADAQAAAwH+rqgpBAADAQAAAwH/HcQxBAADAQAAAwH/kOA5BAADAQAAAwH8AABBBAADAQAAA\\nwH8cxxFBAADAQAAAwH85jhNBAADAQAAAwH9VVRVBAADAQAAAwH9yHBdBAADAQAAAwH+O4xhB\\nAADAQAAAwH+rqhpBAADAQAAAwH/HcRxBAADAQAAAwH/kOB5BAADAQAAAwH8AACBBAADAQAAA\\nwH8AAIC/OY7DQAAAwH85jmO/OY7DQAAAwH9yHEe/OY7DQAAAwH+rqiq/OY7DQAAAwH/kOA6/\\nOY7DQAAAwH85juO+OY7DQAAAwH+rqqq+OY7DQAAAwH85jmO+OY7DQAAAwH85juO9OY7DQAAA\\nwH8AAAAAOY7DQAAAwH85juM9OY7DQAAAwH85jmM+OY7DQAAAwH+rqqo+OY7DQAAAwH85juM+\\nOY7DQAAAwH/kOA4/OY7DQAAAwH+rqio/OY7DQAAAwH9yHEc/OY7DQAAAwH85jmM/OY7DQAAA\\nwH8AAIA/OY7DQAAAwH/kOI4/OY7DQAAAwH/HcZw/OY7DQAAAwH+rqqo/OY7DQAAAwH+O47g/\\nOY7DQAAAwH9yHMc/OY7DQAAAwH9VVdU/OY7DQAAAwH85juM/OY7DQAAAwH8cx/E/OY7DQAAA\\nwH8AAABAOY7DQAAAwH9yHAdAOY7DQAAAwH/kOA5AOY7DQAAAwH9VVRVAOY7DQAAAwH/HcRxA\\nOY7DQAAAwH85jiNAOY7DQAAAwH+rqipAOY7DQAAAwH8cxzFAOY7DQAAAwH+O4zhAOY7DQAAA\\nwH8AAEBAOY7DQAAAwH9yHEdAOY7DQAAAwH/kOE5AOY7DQAAAwH9VVVVAOY7DQAAAwH/HcVxA\\nOY7DQAAAwH85jmNAOY7DQAAAwH+rqmpAOY7DQAAAwH8cx3FAOY7DQAAAwH+O43hAOY7DQAAA\\nwH8AAIBAOY7DQAAAwH85joNAOY7DQAAAwH9yHIdAOY7DQAAAwH+rqopAOY7DQAAAwH/kOI5A\\nOY7DQAAAwH8cx5FAOY7DQAAAwH9VVZVAOY7DQAAAwH+O45hAOY7DQAAAwH/HcZxAOY7DQAAA\\nwH8AAKBAOY7DQAAAwH85jqNAOY7DQAAAwH9yHKdAOY7DQAAAwH+rqqpAOY7DQAAAwH/kOK5A\\nOY7DQAAAwH8cx7FAOY7DQAAAwH9VVbVAOY7DQAAAwH+O47hAOY7DQAAAwH/HcbxAOY7DQAAA\\nwH8AAMBAOY7DQAAAwH85jsNAOY7DQAAAwH9yHMdAOY7DQAAAwH+rqspAOY7DQAAAwH/kOM5A\\nOY7DQAAAwH8cx9FAOY7DQAAAwH9VVdVAOY7DQAAAwH+O49hAOY7DQAAAwH/HcdxAOY7DQAAA\\nwH8AAOBAOY7DQAAAwH85juNAOY7DQAAAwH9yHOdAOY7DQAAAwH+rqupAOY7DQAAAwH/kOO5A\\nOY7DQAAAwH8cx/FAOY7DQAAAwH9VVfVAOY7DQAAAwH+O4/hAOY7DQAAAwH/HcfxAOY7DQAAA\\nwH8AAABBOY7DQAAAwH8cxwFBOY7DQAAAwH85jgNBOY7DQAAAwH9VVQVBOY7DQAAAwH9yHAdB\\nOY7DQAAAwH+O4whBOY7DQAAAwH+rqgpBOY7DQAAAwH/HcQxBOY7DQAAAwH/kOA5BOY7DQAAA\\nwH8AABBBOY7DQAAAwH8cxxFBOY7DQAAAwH85jhNBOY7DQAAAwH9VVRVBOY7DQAAAwH9yHBdB\\nOY7DQAAAwH+O4xhBOY7DQAAAwH+rqhpBOY7DQAAAwH/HcRxBOY7DQAAAwH/kOB5BOY7DQAAA\\nwH8AACBBOY7DQAAAwH8AAIC/chzHQAAAwH85jmO/chzHQAAAwH9yHEe/chzHQAAAwH+rqiq/\\nchzHQAAAwH/kOA6/chzHQAAAwH85juO+chzHQAAAwH+rqqq+chzHQAAAwH85jmO+chzHQAAA\\nwH85juO9chzHQAAAwH8AAAAAchzHQAAAwH85juM9chzHQAAAwH85jmM+chzHQAAAwH+rqqo+\\nchzHQAAAwH85juM+chzHQAAAwH/kOA4/chzHQAAAwH+rqio/chzHQAAAwH9yHEc/chzHQAAA\\nwH85jmM/chzHQAAAwH8AAIA/chzHQAAAwH/kOI4/chzHQAAAwH/HcZw/chzHQAAAwH+rqqo/\\nchzHQAAAwH+O47g/chzHQAAAwH9yHMc/chzHQAAAwH9VVdU/chzHQAAAwH85juM/chzHQAAA\\nwH8cx/E/chzHQAAAwH8AAABAchzHQAAAwH9yHAdAchzHQAAAwH/kOA5AchzHQAAAwH9VVRVA\\nchzHQAAAwH/HcRxAchzHQAAAwH85jiNAchzHQAAAwH+rqipAchzHQAAAwH8cxzFAchzHQAAA\\nwH+O4zhAchzHQAAAwH8AAEBAchzHQAAAwH9yHEdAchzHQAAAwH/kOE5AchzHQAAAwH9VVVVA\\nchzHQAAAwH/HcVxAchzHQAAAwH85jmNAchzHQAAAwH+rqmpAchzHQAAAwH8cx3FAchzHQAAA\\nwH+O43hAchzHQAAAwH8AAIBAchzHQAAAwH85joNAchzHQAAAwH9yHIdAchzHQAAAwH+rqopA\\nchzHQAAAwH/kOI5AchzHQAAAwH8cx5FAchzHQAAAwH9VVZVAchzHQAAAwH+O45hAchzHQAAA\\nwH/HcZxAchzHQAAAwH8AAKBAchzHQAAAwH85jqNAchzHQAAAwH9yHKdAchzHQAAAwH+rqqpA\\nchzHQAAAwH/kOK5AchzHQAAAwH8cx7FAchzHQAAAwH9VVbVAchzHQAAAwH+O47hAchzHQAAA\\nwH/HcbxAchzHQAAAwH8AAMBAchzHQAAAwH85jsNAchzHQAAAwH9yHMdAchzHQAAAwH+rqspA\\nchzHQAAAwH/kOM5AchzHQAAAwH8cx9FAchzHQAAAwH9VVdVAchzHQAAAwH+O49hAchzHQAAA\\nwH/HcdxAchzHQAAAwH8AAOBAchzHQAAAwH85juNAchzHQAAAwH9yHOdAchzHQAAAwH+rqupA\\nchzHQAAAwH/kOO5AchzHQAAAwH8cx/FAchzHQAAAwH9VVfVAchzHQAAAwH+O4/hAchzHQAAA\\nwH/HcfxAchzHQAAAwH8AAABBchzHQAAAwH8cxwFBchzHQAAAwH85jgNBchzHQAAAwH9VVQVB\\nchzHQAAAwH9yHAdBchzHQAAAwH+O4whBchzHQAAAwH+rqgpBchzHQAAAwH/HcQxBchzHQAAA\\nwH/kOA5BchzHQAAAwH8AABBBchzHQAAAwH8cxxFBchzHQAAAwH85jhNBchzHQAAAwH9VVRVB\\nchzHQAAAwH9yHBdBchzHQAAAwH+O4xhBchzHQAAAwH+rqhpBchzHQAAAwH/HcRxBchzHQAAA\\nwH/kOB5BchzHQAAAwH8AACBBchzHQAAAwH8AAIC/q6rKQAAAwH85jmO/q6rKQAAAwH9yHEe/\\nq6rKQAAAwH+rqiq/q6rKQAAAwH/kOA6/q6rKQAAAwH85juO+q6rKQAAAwH+rqqq+q6rKQAAA\\nwH85jmO+q6rKQAAAwH85juO9q6rKQAAAwH8AAAAAq6rKQAAAwH85juM9q6rKQAAAwH85jmM+\\nq6rKQAAAwH+rqqo+q6rKQAAAwH85juM+q6rKQAAAwH/kOA4/q6rKQAAAwH+rqio/q6rKQAAA\\nwH9yHEc/q6rKQAAAwH85jmM/q6rKQAAAwH8AAIA/q6rKQAAAwH/kOI4/q6rKQAAAwH/HcZw/\\nq6rKQAAAwH+rqqo/q6rKQAAAwH+O47g/q6rKQAAAwH9yHMc/q6rKQAAAwH9VVdU/q6rKQAAA\\nwH85juM/q6rKQAAAwH8cx/E/q6rKQAAAwH8AAABAq6rKQAAAwH9yHAdAq6rKQAAAwH/kOA5A\\nq6rKQAAAwH9VVRVAq6rKQAAAwH/HcRxAq6rKQAAAwH85jiNAq6rKQAAAwH+rqipAq6rKQAAA\\nwH8cxzFAq6rKQAAAwH+O4zhAq6rKQAAAwH8AAEBAq6rKQAAAwH9yHEdAq6rKQAAAwH/kOE5A\\nq6rKQAAAwH9VVVVAq6rKQAAAwH/HcVxAq6rKQAAAwH85jmNAq6rKQAAAwH+rqmpAq6rKQAAA\\nwH8cx3FAq6rKQAAAwH+O43hAq6rKQAAAwH8AAIBAq6rKQAAAwH85joNAq6rKQAAAwH9yHIdA\\nq6rKQAAAwH+rqopAq6rKQAAAwH/kOI5Aq6rKQAAAwH8cx5FAq6rKQAAAwH9VVZVAq6rKQAAA\\nwH+O45hAq6rKQAAAwH/HcZxAq6rKQAAAwH8AAKBAq6rKQAAAwH85jqNAq6rKQAAAwH9yHKdA\\nq6rKQAAAwH+rqqpAq6rKQAAAwH/kOK5Aq6rKQAAAwH8cx7FAq6rKQAAAwH9VVbVAq6rKQAAA\\nwH+O47hAq6rKQAAAwH/HcbxAq6rKQAAAwH8AAMBAq6rKQAAAwH85jsNAq6rKQAAAwH9yHMdA\\nq6rKQAAAwH+rqspAq6rKQAAAwH/kOM5Aq6rKQAAAwH8cx9FAq6rKQAAAwH9VVdVAq6rKQAAA\\nwH+O49hAq6rKQAAAwH/HcdxAq6rKQAAAwH8AAOBAq6rKQAAAwH85juNAq6rKQAAAwH9yHOdA\\nq6rKQAAAwH+rqupAq6rKQAAAwH/kOO5Aq6rKQAAAwH8cx/FAq6rKQAAAwH9VVfVAq6rKQAAA\\nwH+O4/hAq6rKQAAAwH/HcfxAq6rKQAAAwH8AAABBq6rKQAAAwH8cxwFBq6rKQAAAwH85jgNB\\nq6rKQAAAwH9VVQVBq6rKQAAAwH9yHAdBq6rKQAAAwH+O4whBq6rKQAAAwH+rqgpBq6rKQAAA\\nwH/HcQxBq6rKQAAAwH/kOA5Bq6rKQAAAwH8AABBBq6rKQAAAwH8cxxFBq6rKQAAAwH85jhNB\\nq6rKQAAAwH9VVRVBq6rKQAAAwH9yHBdBq6rKQAAAwH+O4xhBq6rKQAAAwH+rqhpBq6rKQAAA\\nwH/HcRxBq6rKQAAAwH/kOB5Bq6rKQAAAwH8AACBBq6rKQAAAwH8AAIC/5DjOQAAAwH85jmO/\\n5DjOQAAAwH9yHEe/5DjOQAAAwH+rqiq/5DjOQAAAwH/kOA6/5DjOQAAAwH85juO+5DjOQAAA\\nwH+rqqq+5DjOQAAAwH85jmO+5DjOQAAAwH85juO95DjOQAAAwH8AAAAA5DjOQAAAwH85juM9\\n5DjOQAAAwH85jmM+5DjOQAAAwH+rqqo+5DjOQAAAwH85juM+5DjOQAAAwH/kOA4/5DjOQAAA\\nwH+rqio/5DjOQAAAwH9yHEc/5DjOQAAAwH85jmM/5DjOQAAAwH8AAIA/5DjOQAAAwH/kOI4/\\n5DjOQAAAwH/HcZw/5DjOQAAAwH+rqqo/5DjOQAAAwH+O47g/5DjOQAAAwH9yHMc/5DjOQAAA\\nwH9VVdU/5DjOQAAAwH85juM/5DjOQAAAwH8cx/E/5DjOQAAAwH8AAABA5DjOQAAAwH9yHAdA\\n5DjOQAAAwH/kOA5A5DjOQAAAwH9VVRVA5DjOQAAAwH/HcRxA5DjOQAAAwH85jiNA5DjOQAAA\\nwH+rqipA5DjOQAAAwH8cxzFA5DjOQAAAwH+O4zhA5DjOQAAAwH8AAEBA5DjOQAAAwH9yHEdA\\n5DjOQAAAwH/kOE5A5DjOQAAAwH9VVVVA5DjOQAAAwH/HcVxA5DjOQAAAwH85jmNA5DjOQAAA\\nwH+rqmpA5DjOQAAAwH8cx3FA5DjOQAAAwH+O43hA5DjOQAAAwH8AAIBA5DjOQAAAwH85joNA\\n5DjOQAAAwH9yHIdA5DjOQAAAwH+rqopA5DjOQAAAwH/kOI5A5DjOQAAAwH8cx5FA5DjOQAAA\\nwH9VVZVA5DjOQAAAwH+O45hA5DjOQAAAwH/HcZxA5DjOQAAAwH8AAKBA5DjOQAAAwH85jqNA\\n5DjOQAAAwH9yHKdA5DjOQAAAwH+rqqpA5DjOQAAAwH/kOK5A5DjOQAAAwH8cx7FA5DjOQAAA\\nwH9VVbVA5DjOQAAAwH+O47hA5DjOQAAAwH/HcbxA5DjOQAAAwH8AAMBA5DjOQAAAwH85jsNA\\n5DjOQAAAwH9yHMdA5DjOQAAAwH+rqspA5DjOQAAAwH/kOM5A5DjOQAAAwH8cx9FA5DjOQAAA\\nwH9VVdVA5DjOQAAAwH+O49hA5DjOQAAAwH/HcdxA5DjOQAAAwH8AAOBA5DjOQAAAwH85juNA\\n5DjOQAAAwH9yHOdA5DjOQAAAwH+rqupA5DjOQAAAwH/kOO5A5DjOQAAAwH8cx/FA5DjOQAAA\\nwH9VVfVA5DjOQAAAwH+O4/hA5DjOQAAAwH/HcfxA5DjOQAAAwH8AAABB5DjOQAAAwH8cxwFB\\n5DjOQAAAwH85jgNB5DjOQAAAwH9VVQVB5DjOQAAAwH9yHAdB5DjOQAAAwH+O4whB5DjOQAAA\\nwH+rqgpB5DjOQAAAwH/HcQxB5DjOQAAAwH/kOA5B5DjOQAAAwH8AABBB5DjOQAAAwH8cxxFB\\n5DjOQAAAwH85jhNB5DjOQAAAwH9VVRVB5DjOQAAAwH9yHBdB5DjOQAAAwH+O4xhB5DjOQAAA\\nwH+rqhpB5DjOQAAAwH/HcRxB5DjOQAAAwH/kOB5B5DjOQAAAwH8AACBB5DjOQAAAwH8AAIC/\\nHMfRQAAAwH85jmO/HMfRQAAAwH9yHEe/HMfRQAAAwH+rqiq/HMfRQAAAwH/kOA6/HMfRQAAA\\nwH85juO+HMfRQAAAwH+rqqq+HMfRQAAAwH85jmO+HMfRQAAAwH85juO9HMfRQAAAwH8AAAAA\\nHMfRQAAAwH85juM9HMfRQAAAwH85jmM+HMfRQAAAwH+rqqo+HMfRQAAAwH85juM+HMfRQAAA\\nwH/kOA4/HMfRQAAAwH+rqio/HMfRQAAAwH9yHEc/HMfRQAAAwH85jmM/HMfRQAAAwH8AAIA/\\nHMfRQAAAwH/kOI4/HMfRQAAAwH/HcZw/HMfRQAAAwH+rqqo/HMfRQAAAwH+O47g/HMfRQAAA\\nwH9yHMc/HMfRQAAAwH9VVdU/HMfRQAAAwH85juM/HMfRQAAAwH8cx/E/HMfRQAAAwH8AAABA\\nHMfRQAAAwH9yHAdAHMfRQAAAwH/kOA5AHMfRQAAAwH9VVRVAHMfRQAAAwH/HcRxAHMfRQAAA\\nwH85jiNAHMfRQAAAwH+rqipAHMfRQAAAwH8cxzFAHMfRQAAAwH+O4zhAHMfRQAAAwH8AAEBA\\nHMfRQAAAwH9yHEdAHMfRQAAAwH/kOE5AHMfRQAAAwH9VVVVAHMfRQAAAwH/HcVxAHMfRQAAA\\nwH85jmNAHMfRQAAAwH+rqmpAHMfRQAAAwH8cx3FAHMfRQAAAwH+O43hAHMfRQAAAwH8AAIBA\\nHMfRQAAAwH85joNAHMfRQAAAwH9yHIdAHMfRQAAAwH+rqopAHMfRQAAAwH/kOI5AHMfRQAAA\\nwH8cx5FAHMfRQAAAwH9VVZVAHMfRQAAAwH+O45hAHMfRQAAAwH/HcZxAHMfRQAAAwH8AAKBA\\nHMfRQAAAwH85jqNAHMfRQAAAwH9yHKdAHMfRQAAAwH+rqqpAHMfRQAAAwH/kOK5AHMfRQAAA\\nwH8cx7FAHMfRQAAAwH9VVbVAHMfRQAAAwH+O47hAHMfRQAAAwH/HcbxAHMfRQAAAwH8AAMBA\\nHMfRQAAAwH85jsNAHMfRQAAAwH9yHMdAHMfRQAAAwH+rqspAHMfRQAAAwH/kOM5AHMfRQAAA\\nwH8cx9FAHMfRQAAAwH9VVdVAHMfRQAAAwH+O49hAHMfRQAAAwH/HcdxAHMfRQAAAwH8AAOBA\\nHMfRQAAAwH85juNAHMfRQAAAwH9yHOdAHMfRQAAAwH+rqupAHMfRQAAAwH/kOO5AHMfRQAAA\\nwH8cx/FAHMfRQAAAwH9VVfVAHMfRQAAAwH+O4/hAHMfRQAAAwH/HcfxAHMfRQAAAwH8AAABB\\nHMfRQAAAwH8cxwFBHMfRQAAAwH85jgNBHMfRQAAAwH9VVQVBHMfRQAAAwH9yHAdBHMfRQAAA\\nwH+O4whBHMfRQAAAwH+rqgpBHMfRQAAAwH/HcQxBHMfRQAAAwH/kOA5BHMfRQAAAwH8AABBB\\nHMfRQAAAwH8cxxFBHMfRQAAAwH85jhNBHMfRQAAAwH9VVRVBHMfRQAAAwH9yHBdBHMfRQAAA\\nwH+O4xhBHMfRQAAAwH+rqhpBHMfRQAAAwH/HcRxBHMfRQAAAwH/kOB5BHMfRQAAAwH8AACBB\\nHMfRQAAAwH8AAIC/VVXVQAAAwH85jmO/VVXVQAAAwH9yHEe/VVXVQAAAwH+rqiq/VVXVQAAA\\nwH/kOA6/VVXVQAAAwH85juO+VVXVQAAAwH+rqqq+VVXVQAAAwH85jmO+VVXVQAAAwH85juO9\\nVVXVQAAAwH8AAAAAVVXVQAAAwH85juM9VVXVQAAAwH85jmM+VVXVQAAAwH+rqqo+VVXVQAAA\\nwH85juM+VVXVQAAAwH/kOA4/VVXVQAAAwH+rqio/VVXVQAAAwH9yHEc/VVXVQAAAwH85jmM/\\nVVXVQAAAwH8AAIA/VVXVQAAAwH/kOI4/VVXVQAAAwH/HcZw/VVXVQAAAwH+rqqo/VVXVQAAA\\nwH+O47g/VVXVQAAAwH9yHMc/VVXVQAAAwH9VVdU/VVXVQAAAwH85juM/VVXVQAAAwH8cx/E/\\nVVXVQAAAwH8AAABAVVXVQAAAwH9yHAdAVVXVQAAAwH/kOA5AVVXVQAAAwH9VVRVAVVXVQAAA\\nwH/HcRxAVVXVQAAAwH85jiNAVVXVQAAAwH+rqipAVVXVQAAAwH8cxzFAVVXVQAAAwH+O4zhA\\nVVXVQAAAwH8AAEBAVVXVQAAAwH9yHEdAVVXVQAAAwH/kOE5AVVXVQAAAwH9VVVVAVVXVQAAA\\nwH/HcVxAVVXVQAAAwH85jmNAVVXVQAAAwH+rqmpAVVXVQAAAwH8cx3FAVVXVQAAAwH+O43hA\\nVVXVQAAAwH8AAIBAVVXVQAAAwH85joNAVVXVQAAAwH9yHIdAVVXVQAAAwH+rqopAVVXVQAAA\\nwH/kOI5AVVXVQAAAwH8cx5FAVVXVQAAAwH9VVZVAVVXVQAAAwH+O45hAVVXVQAAAwH/HcZxA\\nVVXVQAAAwH8AAKBAVVXVQAAAwH85jqNAVVXVQAAAwH9yHKdAVVXVQAAAwH+rqqpAVVXVQAAA\\nwH/kOK5AVVXVQAAAwH8cx7FAVVXVQAAAwH9VVbVAVVXVQAAAwH+O47hAVVXVQAAAwH/HcbxA\\nVVXVQAAAwH8AAMBAVVXVQAAAwH85jsNAVVXVQAAAwH9yHMdAVVXVQAAAwH+rqspAVVXVQAAA\\nwH/kOM5AVVXVQAAAwH8cx9FAVVXVQAAAwH9VVdVAVVXVQAAAwH+O49hAVVXVQAAAwH/HcdxA\\nVVXVQAAAwH8AAOBAVVXVQAAAwH85juNAVVXVQAAAwH9yHOdAVVXVQAAAwH+rqupAVVXVQAAA\\nwH/kOO5AVVXVQAAAwH8cx/FAVVXVQAAAwH9VVfVAVVXVQAAAwH+O4/hAVVXVQAAAwH/HcfxA\\nVVXVQAAAwH8AAABBVVXVQAAAwH8cxwFBVVXVQAAAwH85jgNBVVXVQAAAwH9VVQVBVVXVQAAA\\nwH9yHAdBVVXVQAAAwH+O4whBVVXVQAAAwH+rqgpBVVXVQAAAwH/HcQxBVVXVQAAAwH/kOA5B\\nVVXVQAAAwH8AABBBVVXVQAAAwH8cxxFBVVXVQAAAwH85jhNBVVXVQAAAwH9VVRVBVVXVQAAA\\nwH9yHBdBVVXVQAAAwH+O4xhBVVXVQAAAwH+rqhpBVVXVQAAAwH/HcRxBVVXVQAAAwH/kOB5B\\nVVXVQAAAwH8AACBBVVXVQAAAwH8AAIC/juPYQAAAwH85jmO/juPYQAAAwH9yHEe/juPYQAAA\\nwH+rqiq/juPYQAAAwH/kOA6/juPYQAAAwH85juO+juPYQAAAwH+rqqq+juPYQAAAwH85jmO+\\njuPYQAAAwH85juO9juPYQAAAwH8AAAAAjuPYQAAAwH85juM9juPYQAAAwH85jmM+juPYQAAA\\nwH+rqqo+juPYQAAAwH85juM+juPYQAAAwH/kOA4/juPYQAAAwH+rqio/juPYQAAAwH9yHEc/\\njuPYQAAAwH85jmM/juPYQAAAwH8AAIA/juPYQAAAwH/kOI4/juPYQAAAwH/HcZw/juPYQAAA\\nwH+rqqo/juPYQAAAwH+O47g/juPYQAAAwH9yHMc/juPYQAAAwH9VVdU/juPYQAAAwH85juM/\\njuPYQAAAwH8cx/E/juPYQAAAwH8AAABAjuPYQAAAwH9yHAdAjuPYQAAAwH/kOA5AjuPYQAAA\\nwH9VVRVAjuPYQAAAwH/HcRxAjuPYQAAAwH85jiNAjuPYQAAAwH+rqipAjuPYQAAAwH8cxzFA\\njuPYQAAAwH+O4zhAjuPYQAAAwH8AAEBAjuPYQAAAwH9yHEdAjuPYQAAAwH/kOE5AjuPYQAAA\\nwH9VVVVAjuPYQAAAwH/HcVxAjuPYQAAAwH85jmNAjuPYQAAAwH+rqmpAjuPYQAAAwH8cx3FA\\njuPYQAAAwH+O43hAjuPYQAAAwH8AAIBAjuPYQAAAwH85joNAjuPYQAAAwH9yHIdAjuPYQAAA\\nwH+rqopAjuPYQAAAwH/kOI5AjuPYQAAAwH8cx5FAjuPYQAAAwH9VVZVAjuPYQAAAwH+O45hA\\njuPYQAAAwH/HcZxAjuPYQAAAwH8AAKBAjuPYQAAAwH85jqNAjuPYQAAAwH9yHKdAjuPYQAAA\\nwH+rqqpAjuPYQAAAwH/kOK5AjuPYQAAAwH8cx7FAjuPYQAAAwH9VVbVAjuPYQAAAwH+O47hA\\njuPYQAAAwH/HcbxAjuPYQAAAwH8AAMBAjuPYQAAAwH85jsNAjuPYQAAAwH9yHMdAjuPYQAAA\\nwH+rqspAjuPYQAAAwH/kOM5AjuPYQAAAwH8cx9FAjuPYQAAAwH9VVdVAjuPYQAAAwH+O49hA\\njuPYQAAAwH/HcdxAjuPYQAAAwH8AAOBAjuPYQAAAwH85juNAjuPYQAAAwH9yHOdAjuPYQAAA\\nwH+rqupAjuPYQAAAwH/kOO5AjuPYQAAAwH8cx/FAjuPYQAAAwH9VVfVAjuPYQAAAwH+O4/hA\\njuPYQAAAwH/HcfxAjuPYQAAAwH8AAABBjuPYQAAAwH8cxwFBjuPYQAAAwH85jgNBjuPYQAAA\\nwH9VVQVBjuPYQAAAwH9yHAdBjuPYQAAAwH+O4whBjuPYQAAAwH+rqgpBjuPYQAAAwH/HcQxB\\njuPYQAAAwH/kOA5BjuPYQAAAwH8AABBBjuPYQAAAwH8cxxFBjuPYQAAAwH85jhNBjuPYQAAA\\nwH9VVRVBjuPYQAAAwH9yHBdBjuPYQAAAwH+O4xhBjuPYQAAAwH+rqhpBjuPYQAAAwH/HcRxB\\njuPYQAAAwH/kOB5BjuPYQAAAwH8AACBBjuPYQAAAwH8AAIC/x3HcQAAAwH85jmO/x3HcQAAA\\nwH9yHEe/x3HcQAAAwH+rqiq/x3HcQAAAwH/kOA6/x3HcQAAAwH85juO+x3HcQAAAwH+rqqq+\\nx3HcQAAAwH85jmO+x3HcQAAAwH85juO9x3HcQAAAwH8AAAAAx3HcQAAAwH85juM9x3HcQAAA\\nwH85jmM+x3HcQAAAwH+rqqo+x3HcQAAAwH85juM+x3HcQAAAwH/kOA4/x3HcQAAAwH+rqio/\\nx3HcQAAAwH9yHEc/x3HcQAAAwH85jmM/x3HcQAAAwH8AAIA/x3HcQAAAwH/kOI4/x3HcQAAA\\nwH/HcZw/x3HcQAAAwH+rqqo/x3HcQAAAwH+O47g/x3HcQAAAwH9yHMc/x3HcQAAAwH9VVdU/\\nx3HcQAAAwH85juM/x3HcQAAAwH8cx/E/x3HcQAAAwH8AAABAx3HcQAAAwH9yHAdAx3HcQAAA\\nwH/kOA5Ax3HcQAAAwH9VVRVAx3HcQAAAwH/HcRxAx3HcQAAAwH85jiNAx3HcQAAAwH+rqipA\\nx3HcQAAAwH8cxzFAx3HcQAAAwH+O4zhAx3HcQAAAwH8AAEBAx3HcQAAAwH9yHEdAx3HcQAAA\\nwH/kOE5Ax3HcQAAAwH9VVVVAx3HcQAAAwH/HcVxAx3HcQAAAwH85jmNAx3HcQAAAwH+rqmpA\\nx3HcQAAAwH8cx3FAx3HcQAAAwH+O43hAx3HcQAAAwH8AAIBAx3HcQAAAwH85joNAx3HcQAAA\\nwH9yHIdAx3HcQAAAwH+rqopAx3HcQAAAwH/kOI5Ax3HcQAAAwH8cx5FAx3HcQAAAwH9VVZVA\\nx3HcQAAAwH+O45hAx3HcQAAAwH/HcZxAx3HcQAAAwH8AAKBAx3HcQAAAwH85jqNAx3HcQAAA\\nwH9yHKdAx3HcQAAAwH+rqqpAx3HcQAAAwH/kOK5Ax3HcQAAAwH8cx7FAx3HcQAAAwH9VVbVA\\nx3HcQAAAwH+O47hAx3HcQAAAwH/HcbxAx3HcQAAAwH8AAMBAx3HcQAAAwH85jsNAx3HcQAAA\\nwH9yHMdAx3HcQAAAwH+rqspAx3HcQAAAwH/kOM5Ax3HcQAAAwH8cx9FAx3HcQAAAwH9VVdVA\\nx3HcQAAAwH+O49hAx3HcQAAAwH/HcdxAx3HcQAAAwH8AAOBAx3HcQAAAwH85juNAx3HcQAAA\\nwH9yHOdAx3HcQAAAwH+rqupAx3HcQAAAwH/kOO5Ax3HcQAAAwH8cx/FAx3HcQAAAwH9VVfVA\\nx3HcQAAAwH+O4/hAx3HcQAAAwH/HcfxAx3HcQAAAwH8AAABBx3HcQAAAwH8cxwFBx3HcQAAA\\nwH85jgNBx3HcQAAAwH9VVQVBx3HcQAAAwH9yHAdBx3HcQAAAwH+O4whBx3HcQAAAwH+rqgpB\\nx3HcQAAAwH/HcQxBx3HcQAAAwH/kOA5Bx3HcQAAAwH8AABBBx3HcQAAAwH8cxxFBx3HcQAAA\\nwH85jhNBx3HcQAAAwH9VVRVBx3HcQAAAwH9yHBdBx3HcQAAAwH+O4xhBx3HcQAAAwH+rqhpB\\nx3HcQAAAwH/HcRxBx3HcQAAAwH/kOB5Bx3HcQAAAwH8AACBBx3HcQAAAwH8AAIC/AADgQAAA\\nwH85jmO/AADgQAAAwH9yHEe/AADgQAAAwH+rqiq/AADgQAAAwH/kOA6/AADgQAAAwH85juO+\\nAADgQAAAwH+rqqq+AADgQAAAwH85jmO+AADgQAAAwH85juO9AADgQAAAwH8AAAAAAADgQAAA\\nwH85juM9AADgQAAAwH85jmM+AADgQAAAwH+rqqo+AADgQAAAwH85juM+AADgQAAAwH/kOA4/\\nAADgQAAAwH+rqio/AADgQAAAwH9yHEc/AADgQAAAwH85jmM/AADgQAAAwH8AAIA/AADgQAAA\\nwH/kOI4/AADgQAAAwH/HcZw/AADgQAAAwH+rqqo/AADgQAAAwH+O47g/AADgQAAAwH9yHMc/\\nAADgQAAAwH9VVdU/AADgQAAAwH85juM/AADgQAAAwH8cx/E/AADgQAAAwH8AAABAAADgQAAA\\nwH9yHAdAAADgQAAAwH/kOA5AAADgQAAAwH9VVRVAAADgQAAAwH/HcRxAAADgQAAAwH85jiNA\\nAADgQAAAwH+rqipAAADgQAAAwH8cxzFAAADgQAAAwH+O4zhAAADgQAAAwH8AAEBAAADgQAAA\\nwH9yHEdAAADgQAAAwH/kOE5AAADgQAAAwH9VVVVAAADgQAAAwH/HcVxAAADgQAAAwH85jmNA\\nAADgQAAAwH+rqmpAAADgQAAAwH8cx3FAAADgQAAAwH+O43hAAADgQAAAwH8AAIBAAADgQAAA\\nwH85joNAAADgQAAAwH9yHIdAAADgQAAAwH+rqopAAADgQAAAwH/kOI5AAADgQAAAwH8cx5FA\\nAADgQAAAwH9VVZVAAADgQAAAwH+O45hAAADgQAAAwH/HcZxAAADgQAAAwH8AAKBAAADgQAAA\\nwH85jqNAAADgQAAAwH9yHKdAAADgQAAAwH+rqqpAAADgQAAAwH/kOK5AAADgQAAAwH8cx7FA\\nAADgQAAAwH9VVbVAAADgQAAAwH+O47hAAADgQAAAwH/HcbxAAADgQAAAwH8AAMBAAADgQAAA\\nwH85jsNAAADgQAAAwH9yHMdAAADgQAAAwH+rqspAAADgQAAAwH/kOM5AAADgQAAAwH8cx9FA\\nAADgQAAAwH9VVdVAAADgQAAAwH+O49hAAADgQAAAwH/HcdxAAADgQAAAwH8AAOBAAADgQAAA\\nwH85juNAAADgQAAAwH9yHOdAAADgQAAAwH+rqupAAADgQAAAwH/kOO5AAADgQAAAwH8cx/FA\\nAADgQAAAwH9VVfVAAADgQAAAwH+O4/hAAADgQAAAwH/HcfxAAADgQAAAwH8AAABBAADgQAAA\\nwH8cxwFBAADgQAAAwH85jgNBAADgQAAAwH9VVQVBAADgQAAAwH9yHAdBAADgQAAAwH+O4whB\\nAADgQAAAwH+rqgpBAADgQAAAwH/HcQxBAADgQAAAwH/kOA5BAADgQAAAwH8AABBBAADgQAAA\\nwH8cxxFBAADgQAAAwH85jhNBAADgQAAAwH9VVRVBAADgQAAAwH9yHBdBAADgQAAAwH+O4xhB\\nAADgQAAAwH+rqhpBAADgQAAAwH/HcRxBAADgQAAAwH/kOB5BAADgQAAAwH8AACBBAADgQAAA\\nwH8AAIC/OY7jQAAAwH85jmO/OY7jQAAAwH9yHEe/OY7jQAAAwH+rqiq/OY7jQAAAwH/kOA6/\\nOY7jQAAAwH85juO+OY7jQAAAwH+rqqq+OY7jQAAAwH85jmO+OY7jQAAAwH85juO9OY7jQAAA\\nwH8AAAAAOY7jQAAAwH85juM9OY7jQAAAwH85jmM+OY7jQAAAwH+rqqo+OY7jQAAAwH85juM+\\nOY7jQAAAwH/kOA4/OY7jQAAAwH+rqio/OY7jQAAAwH9yHEc/OY7jQAAAwH85jmM/OY7jQAAA\\nwH8AAIA/OY7jQAAAwH/kOI4/OY7jQAAAwH/HcZw/OY7jQAAAwH+rqqo/OY7jQAAAwH+O47g/\\nOY7jQAAAwH9yHMc/OY7jQAAAwH9VVdU/OY7jQAAAwH85juM/OY7jQAAAwH8cx/E/OY7jQAAA\\nwH8AAABAOY7jQAAAwH9yHAdAOY7jQAAAwH/kOA5AOY7jQAAAwH9VVRVAOY7jQAAAwH/HcRxA\\nOY7jQAAAwH85jiNAOY7jQAAAwH+rqipAOY7jQAAAwH8cxzFAOY7jQAAAwH+O4zhAOY7jQAAA\\nwH8AAEBAOY7jQAAAwH9yHEdAOY7jQAAAwH/kOE5AOY7jQAAAwH9VVVVAOY7jQAAAwH/HcVxA\\nOY7jQAAAwH85jmNAOY7jQAAAwH+rqmpAOY7jQAAAwH8cx3FAOY7jQAAAwH+O43hAOY7jQAAA\\nwH8AAIBAOY7jQAAAwH85joNAOY7jQAAAwH9yHIdAOY7jQAAAwH+rqopAOY7jQAAAwH/kOI5A\\nOY7jQAAAwH8cx5FAOY7jQAAAwH9VVZVAOY7jQAAAwH+O45hAOY7jQAAAwH/HcZxAOY7jQAAA\\nwH8AAKBAOY7jQAAAwH85jqNAOY7jQAAAwH9yHKdAOY7jQAAAwH+rqqpAOY7jQAAAwH/kOK5A\\nOY7jQAAAwH8cx7FAOY7jQAAAwH9VVbVAOY7jQAAAwH+O47hAOY7jQAAAwH/HcbxAOY7jQAAA\\nwH8AAMBAOY7jQAAAwH85jsNAOY7jQAAAwH9yHMdAOY7jQAAAwH+rqspAOY7jQAAAwH/kOM5A\\nOY7jQAAAwH8cx9FAOY7jQAAAwH9VVdVAOY7jQAAAwH+O49hAOY7jQAAAwH/HcdxAOY7jQAAA\\nwH8AAOBAOY7jQAAAwH85juNAOY7jQAAAwH9yHOdAOY7jQAAAwH+rqupAOY7jQAAAwH/kOO5A\\nOY7jQAAAwH8cx/FAOY7jQAAAwH9VVfVAOY7jQAAAwH+O4/hAOY7jQAAAwH/HcfxAOY7jQAAA\\nwH8AAABBOY7jQAAAwH8cxwFBOY7jQAAAwH85jgNBOY7jQAAAwH9VVQVBOY7jQAAAwH9yHAdB\\nOY7jQAAAwH+O4whBOY7jQAAAwH+rqgpBOY7jQAAAwH/HcQxBOY7jQAAAwH/kOA5BOY7jQAAA\\nwH8AABBBOY7jQAAAwH8cxxFBOY7jQAAAwH85jhNBOY7jQAAAwH9VVRVBOY7jQAAAwH9yHBdB\\nOY7jQAAAwH+O4xhBOY7jQAAAwH+rqhpBOY7jQAAAwH/HcRxBOY7jQAAAwH/kOB5BOY7jQAAA\\nwH8AACBBOY7jQAAAwH8AAIC/chznQAAAwH85jmO/chznQAAAwH9yHEe/chznQAAAwH+rqiq/\\nchznQAAAwH/kOA6/chznQAAAwH85juO+chznQAAAwH+rqqq+chznQAAAwH85jmO+chznQAAA\\nwH85juO9chznQAAAwH8AAAAAchznQAAAwH85juM9chznQAAAwH85jmM+chznQAAAwH+rqqo+\\nchznQAAAwH85juM+chznQAAAwH/kOA4/chznQAAAwH+rqio/chznQAAAwH9yHEc/chznQAAA\\nwH85jmM/chznQAAAwH8AAIA/chznQAAAwH/kOI4/chznQAAAwH/HcZw/chznQAAAwH+rqqo/\\nchznQAAAwH+O47g/chznQAAAwH9yHMc/chznQAAAwH9VVdU/chznQAAAwH85juM/chznQAAA\\nwH8cx/E/chznQAAAwH8AAABAchznQAAAwH9yHAdAchznQAAAwH/kOA5AchznQAAAwH9VVRVA\\nchznQAAAwH/HcRxAchznQAAAwH85jiNAchznQAAAwH+rqipAchznQAAAwH8cxzFAchznQAAA\\nwH+O4zhAchznQAAAwH8AAEBAchznQAAAwH9yHEdAchznQAAAwH/kOE5AchznQAAAwH9VVVVA\\nchznQAAAwH/HcVxAchznQAAAwH85jmNAchznQAAAwH+rqmpAchznQAAAwH8cx3FAchznQAAA\\nwH+O43hAchznQAAAwH8AAIBAchznQAAAwH85joNAchznQAAAwH9yHIdAchznQAAAwH+rqopA\\nchznQAAAwH/kOI5AchznQAAAwH8cx5FAchznQAAAwH9VVZVAchznQAAAwH+O45hAchznQAAA\\nwH/HcZxAchznQAAAwH8AAKBAchznQAAAwH85jqNAchznQAAAwH9yHKdAchznQAAAwH+rqqpA\\nchznQAAAwH/kOK5AchznQAAAwH8cx7FAchznQAAAwH9VVbVAchznQAAAwH+O47hAchznQAAA\\nwH/HcbxAchznQAAAwH8AAMBAchznQAAAwH85jsNAchznQAAAwH9yHMdAchznQAAAwH+rqspA\\nchznQAAAwH/kOM5AchznQAAAwH8cx9FAchznQAAAwH9VVdVAchznQAAAwH+O49hAchznQAAA\\nwH/HcdxAchznQAAAwH8AAOBAchznQAAAwH85juNAchznQAAAwH9yHOdAchznQAAAwH+rqupA\\nchznQAAAwH/kOO5AchznQAAAwH8cx/FAchznQAAAwH9VVfVAchznQAAAwH+O4/hAchznQAAA\\nwH/HcfxAchznQAAAwH8AAABBchznQAAAwH8cxwFBchznQAAAwH85jgNBchznQAAAwH9VVQVB\\nchznQAAAwH9yHAdBchznQAAAwH+O4whBchznQAAAwH+rqgpBchznQAAAwH/HcQxBchznQAAA\\nwH/kOA5BchznQAAAwH8AABBBchznQAAAwH8cxxFBchznQAAAwH85jhNBchznQAAAwH9VVRVB\\nchznQAAAwH9yHBdBchznQAAAwH+O4xhBchznQAAAwH+rqhpBchznQAAAwH/HcRxBchznQAAA\\nwH/kOB5BchznQAAAwH8AACBBchznQAAAwH8AAIC/q6rqQAAAwH85jmO/q6rqQAAAwH9yHEe/\\nq6rqQAAAwH+rqiq/q6rqQAAAwH/kOA6/q6rqQAAAwH85juO+q6rqQAAAwH+rqqq+q6rqQAAA\\nwH85jmO+q6rqQAAAwH85juO9q6rqQAAAwH8AAAAAq6rqQAAAwH85juM9q6rqQAAAwH85jmM+\\nq6rqQAAAwH+rqqo+q6rqQAAAwH85juM+q6rqQAAAwH/kOA4/q6rqQAAAwH+rqio/q6rqQAAA\\nwH9yHEc/q6rqQAAAwH85jmM/q6rqQAAAwH8AAIA/q6rqQAAAwH/kOI4/q6rqQAAAwH/HcZw/\\nq6rqQAAAwH+rqqo/q6rqQAAAwH+O47g/q6rqQAAAwH9yHMc/q6rqQAAAwH9VVdU/q6rqQAAA\\nwH85juM/q6rqQAAAwH8cx/E/q6rqQAAAwH8AAABAq6rqQAAAwH9yHAdAq6rqQAAAwH/kOA5A\\nq6rqQAAAwH9VVRVAq6rqQAAAwH/HcRxAq6rqQAAAwH85jiNAq6rqQAAAwH+rqipAq6rqQAAA\\nwH8cxzFAq6rqQAAAwH+O4zhAq6rqQAAAwH8AAEBAq6rqQAAAwH9yHEdAq6rqQAAAwH/kOE5A\\nq6rqQAAAwH9VVVVAq6rqQAAAwH/HcVxAq6rqQAAAwH85jmNAq6rqQAAAwH+rqmpAq6rqQAAA\\nwH8cx3FAq6rqQAAAwH+O43hAq6rqQAAAwH8AAIBAq6rqQAAAwH85joNAq6rqQAAAwH9yHIdA\\nq6rqQAAAwH+rqopAq6rqQAAAwH/kOI5Aq6rqQAAAwH8cx5FAq6rqQAAAwH9VVZVAq6rqQAAA\\nwH+O45hAq6rqQAAAwH/HcZxAq6rqQAAAwH8AAKBAq6rqQAAAwH85jqNAq6rqQAAAwH9yHKdA\\nq6rqQAAAwH+rqqpAq6rqQAAAwH/kOK5Aq6rqQAAAwH8cx7FAq6rqQAAAwH9VVbVAq6rqQAAA\\nwH+O47hAq6rqQAAAwH/HcbxAq6rqQAAAwH8AAMBAq6rqQAAAwH85jsNAq6rqQAAAwH9yHMdA\\nq6rqQAAAwH+rqspAq6rqQAAAwH/kOM5Aq6rqQAAAwH8cx9FAq6rqQAAAwH9VVdVAq6rqQAAA\\nwH+O49hAq6rqQAAAwH/HcdxAq6rqQAAAwH8AAOBAq6rqQAAAwH85juNAq6rqQAAAwH9yHOdA\\nq6rqQAAAwH+rqupAq6rqQAAAwH/kOO5Aq6rqQAAAwH8cx/FAq6rqQAAAwH9VVfVAq6rqQAAA\\nwH+O4/hAq6rqQAAAwH/HcfxAq6rqQAAAwH8AAABBq6rqQAAAwH8cxwFBq6rqQAAAwH85jgNB\\nq6rqQAAAwH9VVQVBq6rqQAAAwH9yHAdBq6rqQAAAwH+O4whBq6rqQAAAwH+rqgpBq6rqQAAA\\nwH/HcQxBq6rqQAAAwH/kOA5Bq6rqQAAAwH8AABBBq6rqQAAAwH8cxxFBq6rqQAAAwH85jhNB\\nq6rqQAAAwH9VVRVBq6rqQAAAwH9yHBdBq6rqQAAAwH+O4xhBq6rqQAAAwH+rqhpBq6rqQAAA\\nwH/HcRxBq6rqQAAAwH/kOB5Bq6rqQAAAwH8AACBBq6rqQAAAwH8AAIC/5DjuQAAAwH85jmO/\\n5DjuQAAAwH9yHEe/5DjuQAAAwH+rqiq/5DjuQAAAwH/kOA6/5DjuQAAAwH85juO+5DjuQAAA\\nwH+rqqq+5DjuQAAAwH85jmO+5DjuQAAAwH85juO95DjuQAAAwH8AAAAA5DjuQAAAwH85juM9\\n5DjuQAAAwH85jmM+5DjuQAAAwH+rqqo+5DjuQAAAwH85juM+5DjuQAAAwH/kOA4/5DjuQAAA\\nwH+rqio/5DjuQAAAwH9yHEc/5DjuQAAAwH85jmM/5DjuQAAAwH8AAIA/5DjuQAAAwH/kOI4/\\n5DjuQAAAwH/HcZw/5DjuQAAAwH+rqqo/5DjuQAAAwH+O47g/5DjuQAAAwH9yHMc/5DjuQAAA\\nwH9VVdU/5DjuQAAAwH85juM/5DjuQAAAwH8cx/E/5DjuQAAAwH8AAABA5DjuQAAAwH9yHAdA\\n5DjuQAAAwH/kOA5A5DjuQAAAwH9VVRVA5DjuQAAAwH/HcRxA5DjuQAAAwH85jiNA5DjuQAAA\\nwH+rqipA5DjuQAAAwH8cxzFA5DjuQAAAwH+O4zhA5DjuQAAAwH8AAEBA5DjuQAAAwH9yHEdA\\n5DjuQAAAwH/kOE5A5DjuQAAAwH9VVVVA5DjuQAAAwH/HcVxA5DjuQAAAwH85jmNA5DjuQAAA\\nwH+rqmpA5DjuQAAAwH8cx3FA5DjuQAAAwH+O43hA5DjuQAAAwH8AAIBA5DjuQAAAwH85joNA\\n5DjuQAAAwH9yHIdA5DjuQAAAwH+rqopA5DjuQAAAwH/kOI5A5DjuQAAAwH8cx5FA5DjuQAAA\\nwH9VVZVA5DjuQAAAwH+O45hA5DjuQAAAwH/HcZxA5DjuQAAAwH8AAKBA5DjuQAAAwH85jqNA\\n5DjuQAAAwH9yHKdA5DjuQAAAwH+rqqpA5DjuQAAAwH/kOK5A5DjuQAAAwH8cx7FA5DjuQAAA\\nwH9VVbVA5DjuQAAAwH+O47hA5DjuQAAAwH/HcbxA5DjuQAAAwH8AAMBA5DjuQAAAwH85jsNA\\n5DjuQAAAwH9yHMdA5DjuQAAAwH+rqspA5DjuQAAAwH/kOM5A5DjuQAAAwH8cx9FA5DjuQAAA\\nwH9VVdVA5DjuQAAAwH+O49hA5DjuQAAAwH/HcdxA5DjuQAAAwH8AAOBA5DjuQAAAwH85juNA\\n5DjuQAAAwH9yHOdA5DjuQAAAwH+rqupA5DjuQAAAwH/kOO5A5DjuQAAAwH8cx/FA5DjuQAAA\\nwH9VVfVA5DjuQAAAwH+O4/hA5DjuQAAAwH/HcfxA5DjuQAAAwH8AAABB5DjuQAAAwH8cxwFB\\n5DjuQAAAwH85jgNB5DjuQAAAwH9VVQVB5DjuQAAAwH9yHAdB5DjuQAAAwH+O4whB5DjuQAAA\\nwH+rqgpB5DjuQAAAwH/HcQxB5DjuQAAAwH/kOA5B5DjuQAAAwH8AABBB5DjuQAAAwH8cxxFB\\n5DjuQAAAwH85jhNB5DjuQAAAwH9VVRVB5DjuQAAAwH9yHBdB5DjuQAAAwH+O4xhB5DjuQAAA\\nwH+rqhpB5DjuQAAAwH/HcRxB5DjuQAAAwH/kOB5B5DjuQAAAwH8AACBB5DjuQAAAwH8AAIC/\\nHMfxQAAAwH85jmO/HMfxQAAAwH9yHEe/HMfxQAAAwH+rqiq/HMfxQAAAwH/kOA6/HMfxQAAA\\nwH85juO+HMfxQAAAwH+rqqq+HMfxQAAAwH85jmO+HMfxQAAAwH85juO9HMfxQAAAwH8AAAAA\\nHMfxQAAAwH85juM9HMfxQAAAwH85jmM+HMfxQAAAwH+rqqo+HMfxQAAAwH85juM+HMfxQAAA\\nwH/kOA4/HMfxQAAAwH+rqio/HMfxQAAAwH9yHEc/HMfxQAAAwH85jmM/HMfxQAAAwH8AAIA/\\nHMfxQAAAwH/kOI4/HMfxQAAAwH/HcZw/HMfxQAAAwH+rqqo/HMfxQAAAwH+O47g/HMfxQAAA\\nwH9yHMc/HMfxQAAAwH9VVdU/HMfxQAAAwH85juM/HMfxQAAAwH8cx/E/HMfxQAAAwH8AAABA\\nHMfxQAAAwH9yHAdAHMfxQAAAwH/kOA5AHMfxQAAAwH9VVRVAHMfxQAAAwH/HcRxAHMfxQAAA\\nwH85jiNAHMfxQAAAwH+rqipAHMfxQAAAwH8cxzFAHMfxQAAAwH+O4zhAHMfxQAAAwH8AAEBA\\nHMfxQAAAwH9yHEdAHMfxQAAAwH/kOE5AHMfxQAAAwH9VVVVAHMfxQAAAwH/HcVxAHMfxQAAA\\nwH85jmNAHMfxQAAAwH+rqmpAHMfxQAAAwH8cx3FAHMfxQAAAwH+O43hAHMfxQAAAwH8AAIBA\\nHMfxQAAAwH85joNAHMfxQAAAwH9yHIdAHMfxQAAAwH+rqopAHMfxQAAAwH/kOI5AHMfxQAAA\\nwH8cx5FAHMfxQAAAwH9VVZVAHMfxQAAAwH+O45hAHMfxQAAAwH/HcZxAHMfxQAAAwH8AAKBA\\nHMfxQAAAwH85jqNAHMfxQAAAwH9yHKdAHMfxQAAAwH+rqqpAHMfxQAAAwH/kOK5AHMfxQAAA\\nwH8cx7FAHMfxQAAAwH9VVbVAHMfxQAAAwH+O47hAHMfxQAAAwH/HcbxAHMfxQAAAwH8AAMBA\\nHMfxQAAAwH85jsNAHMfxQAAAwH9yHMdAHMfxQAAAwH+rqspAHMfxQAAAwH/kOM5AHMfxQAAA\\nwH8cx9FAHMfxQAAAwH9VVdVAHMfxQAAAwH+O49hAHMfxQAAAwH/HcdxAHMfxQAAAwH8AAOBA\\nHMfxQAAAwH85juNAHMfxQAAAwH9yHOdAHMfxQAAAwH+rqupAHMfxQAAAwH/kOO5AHMfxQAAA\\nwH8cx/FAHMfxQAAAwH9VVfVAHMfxQAAAwH+O4/hAHMfxQAAAwH/HcfxAHMfxQAAAwH8AAABB\\nHMfxQAAAwH8cxwFBHMfxQAAAwH85jgNBHMfxQAAAwH9VVQVBHMfxQAAAwH9yHAdBHMfxQAAA\\nwH+O4whBHMfxQAAAwH+rqgpBHMfxQAAAwH/HcQxBHMfxQAAAwH/kOA5BHMfxQAAAwH8AABBB\\nHMfxQAAAwH8cxxFBHMfxQAAAwH85jhNBHMfxQAAAwH9VVRVBHMfxQAAAwH9yHBdBHMfxQAAA\\nwH+O4xhBHMfxQAAAwH+rqhpBHMfxQAAAwH/HcRxBHMfxQAAAwH/kOB5BHMfxQAAAwH8AACBB\\nHMfxQAAAwH8AAIC/VVX1QAAAwH85jmO/VVX1QAAAwH9yHEe/VVX1QAAAwH+rqiq/VVX1QAAA\\nwH/kOA6/VVX1QAAAwH85juO+VVX1QAAAwH+rqqq+VVX1QAAAwH85jmO+VVX1QAAAwH85juO9\\nVVX1QAAAwH8AAAAAVVX1QAAAwH85juM9VVX1QAAAwH85jmM+VVX1QAAAwH+rqqo+VVX1QAAA\\nwH85juM+VVX1QAAAwH/kOA4/VVX1QAAAwH+rqio/VVX1QAAAwH9yHEc/VVX1QAAAwH85jmM/\\nVVX1QAAAwH8AAIA/VVX1QAAAwH/kOI4/VVX1QAAAwH/HcZw/VVX1QAAAwH+rqqo/VVX1QAAA\\nwH+O47g/VVX1QAAAwH9yHMc/VVX1QAAAwH9VVdU/VVX1QAAAwH85juM/VVX1QAAAwH8cx/E/\\nVVX1QAAAwH8AAABAVVX1QAAAwH9yHAdAVVX1QAAAwH/kOA5AVVX1QAAAwH9VVRVAVVX1QAAA\\nwH/HcRxAVVX1QAAAwH85jiNAVVX1QAAAwH+rqipAVVX1QAAAwH8cxzFAVVX1QAAAwH+O4zhA\\nVVX1QAAAwH8AAEBAVVX1QAAAwH9yHEdAVVX1QAAAwH/kOE5AVVX1QAAAwH9VVVVAVVX1QAAA\\nwH/HcVxAVVX1QAAAwH85jmNAVVX1QAAAwH+rqmpAVVX1QAAAwH8cx3FAVVX1QAAAwH+O43hA\\nVVX1QAAAwH8AAIBAVVX1QAAAwH85joNAVVX1QAAAwH9yHIdAVVX1QAAAwH+rqopAVVX1QAAA\\nwH/kOI5AVVX1QAAAwH8cx5FAVVX1QAAAwH9VVZVAVVX1QAAAwH+O45hAVVX1QAAAwH/HcZxA\\nVVX1QAAAwH8AAKBAVVX1QAAAwH85jqNAVVX1QAAAwH9yHKdAVVX1QAAAwH+rqqpAVVX1QAAA\\nwH/kOK5AVVX1QAAAwH8cx7FAVVX1QAAAwH9VVbVAVVX1QAAAwH+O47hAVVX1QAAAwH/HcbxA\\nVVX1QAAAwH8AAMBAVVX1QAAAwH85jsNAVVX1QAAAwH9yHMdAVVX1QAAAwH+rqspAVVX1QAAA\\nwH/kOM5AVVX1QAAAwH8cx9FAVVX1QAAAwH9VVdVAVVX1QAAAwH+O49hAVVX1QAAAwH/HcdxA\\nVVX1QAAAwH8AAOBAVVX1QAAAwH85juNAVVX1QAAAwH9yHOdAVVX1QAAAwH+rqupAVVX1QAAA\\nwH/kOO5AVVX1QAAAwH8cx/FAVVX1QAAAwH9VVfVAVVX1QAAAwH+O4/hAVVX1QAAAwH/HcfxA\\nVVX1QAAAwH8AAABBVVX1QAAAwH8cxwFBVVX1QAAAwH85jgNBVVX1QAAAwH9VVQVBVVX1QAAA\\nwH9yHAdBVVX1QAAAwH+O4whBVVX1QAAAwH+rqgpBVVX1QAAAwH/HcQxBVVX1QAAAwH/kOA5B\\nVVX1QAAAwH8AABBBVVX1QAAAwH8cxxFBVVX1QAAAwH85jhNBVVX1QAAAwH9VVRVBVVX1QAAA\\nwH9yHBdBVVX1QAAAwH+O4xhBVVX1QAAAwH+rqhpBVVX1QAAAwH/HcRxBVVX1QAAAwH/kOB5B\\nVVX1QAAAwH8AACBBVVX1QAAAwH8AAIC/juP4QAAAwH85jmO/juP4QAAAwH9yHEe/juP4QAAA\\nwH+rqiq/juP4QAAAwH/kOA6/juP4QAAAwH85juO+juP4QAAAwH+rqqq+juP4QAAAwH85jmO+\\njuP4QAAAwH85juO9juP4QAAAwH8AAAAAjuP4QAAAwH85juM9juP4QAAAwH85jmM+juP4QAAA\\nwH+rqqo+juP4QAAAwH85juM+juP4QAAAwH/kOA4/juP4QAAAwH+rqio/juP4QAAAwH9yHEc/\\njuP4QAAAwH85jmM/juP4QAAAwH8AAIA/juP4QAAAwH/kOI4/juP4QAAAwH/HcZw/juP4QAAA\\nwH+rqqo/juP4QAAAwH+O47g/juP4QAAAwH9yHMc/juP4QAAAwH9VVdU/juP4QAAAwH85juM/\\njuP4QAAAwH8cx/E/juP4QAAAwH8AAABAjuP4QAAAwH9yHAdAjuP4QAAAwH/kOA5AjuP4QAAA\\nwH9VVRVAjuP4QAAAwH/HcRxAjuP4QAAAwH85jiNAjuP4QAAAwH+rqipAjuP4QAAAwH8cxzFA\\njuP4QAAAwH+O4zhAjuP4QAAAwH8AAEBAjuP4QAAAwH9yHEdAjuP4QAAAwH/kOE5AjuP4QAAA\\nwH9VVVVAjuP4QAAAwH/HcVxAjuP4QAAAwH85jmNAjuP4QAAAwH+rqmpAjuP4QAAAwH8cx3FA\\njuP4QAAAwH+O43hAjuP4QAAAwH8AAIBAjuP4QAAAwH85joNAjuP4QAAAwH9yHIdAjuP4QAAA\\nwH+rqopAjuP4QAAAwH/kOI5AjuP4QAAAwH8cx5FAjuP4QAAAwH9VVZVAjuP4QAAAwH+O45hA\\njuP4QAAAwH/HcZxAjuP4QAAAwH8AAKBAjuP4QAAAwH85jqNAjuP4QAAAwH9yHKdAjuP4QAAA\\nwH+rqqpAjuP4QAAAwH/kOK5AjuP4QAAAwH8cx7FAjuP4QAAAwH9VVbVAjuP4QAAAwH+O47hA\\njuP4QAAAwH/HcbxAjuP4QAAAwH8AAMBAjuP4QAAAwH85jsNAjuP4QAAAwH9yHMdAjuP4QAAA\\nwH+rqspAjuP4QAAAwH/kOM5AjuP4QAAAwH8cx9FAjuP4QAAAwH9VVdVAjuP4QAAAwH+O49hA\\njuP4QAAAwH/HcdxAjuP4QAAAwH8AAOBAjuP4QAAAwH85juNAjuP4QAAAwH9yHOdAjuP4QAAA\\nwH+rqupAjuP4QAAAwH/kOO5AjuP4QAAAwH8cx/FAjuP4QAAAwH9VVfVAjuP4QAAAwH+O4/hA\\njuP4QAAAwH/HcfxAjuP4QAAAwH8AAABBjuP4QAAAwH8cxwFBjuP4QAAAwH85jgNBjuP4QAAA\\nwH9VVQVBjuP4QAAAwH9yHAdBjuP4QAAAwH+O4whBjuP4QAAAwH+rqgpBjuP4QAAAwH/HcQxB\\njuP4QAAAwH/kOA5BjuP4QAAAwH8AABBBjuP4QAAAwH8cxxFBjuP4QAAAwH85jhNBjuP4QAAA\\nwH9VVRVBjuP4QAAAwH9yHBdBjuP4QAAAwH+O4xhBjuP4QAAAwH+rqhpBjuP4QAAAwH/HcRxB\\njuP4QAAAwH/kOB5BjuP4QAAAwH8AACBBjuP4QAAAwH8AAIC/x3H8QAAAwH85jmO/x3H8QAAA\\nwH9yHEe/x3H8QAAAwH+rqiq/x3H8QAAAwH/kOA6/x3H8QAAAwH85juO+x3H8QAAAwH+rqqq+\\nx3H8QAAAwH85jmO+x3H8QAAAwH85juO9x3H8QAAAwH8AAAAAx3H8QAAAwH85juM9x3H8QAAA\\nwH85jmM+x3H8QAAAwH+rqqo+x3H8QAAAwH85juM+x3H8QAAAwH/kOA4/x3H8QAAAwH+rqio/\\nx3H8QAAAwH9yHEc/x3H8QAAAwH85jmM/x3H8QAAAwH8AAIA/x3H8QAAAwH/kOI4/x3H8QAAA\\nwH/HcZw/x3H8QAAAwH+rqqo/x3H8QAAAwH+O47g/x3H8QAAAwH9yHMc/x3H8QAAAwH9VVdU/\\nx3H8QAAAwH85juM/x3H8QAAAwH8cx/E/x3H8QAAAwH8AAABAx3H8QAAAwH9yHAdAx3H8QAAA\\nwH/kOA5Ax3H8QAAAwH9VVRVAx3H8QAAAwH/HcRxAx3H8QAAAwH85jiNAx3H8QAAAwH+rqipA\\nx3H8QAAAwH8cxzFAx3H8QAAAwH+O4zhAx3H8QAAAwH8AAEBAx3H8QAAAwH9yHEdAx3H8QAAA\\nwH/kOE5Ax3H8QAAAwH9VVVVAx3H8QAAAwH/HcVxAx3H8QAAAwH85jmNAx3H8QAAAwH+rqmpA\\nx3H8QAAAwH8cx3FAx3H8QAAAwH+O43hAx3H8QAAAwH8AAIBAx3H8QAAAwH85joNAx3H8QAAA\\nwH9yHIdAx3H8QAAAwH+rqopAx3H8QAAAwH/kOI5Ax3H8QAAAwH8cx5FAx3H8QAAAwH9VVZVA\\nx3H8QAAAwH+O45hAx3H8QAAAwH/HcZxAx3H8QAAAwH8AAKBAx3H8QAAAwH85jqNAx3H8QAAA\\nwH9yHKdAx3H8QAAAwH+rqqpAx3H8QAAAwH/kOK5Ax3H8QAAAwH8cx7FAx3H8QAAAwH9VVbVA\\nx3H8QAAAwH+O47hAx3H8QAAAwH/HcbxAx3H8QAAAwH8AAMBAx3H8QAAAwH85jsNAx3H8QAAA\\nwH9yHMdAx3H8QAAAwH+rqspAx3H8QAAAwH/kOM5Ax3H8QAAAwH8cx9FAx3H8QAAAwH9VVdVA\\nx3H8QAAAwH+O49hAx3H8QAAAwH/HcdxAx3H8QAAAwH8AAOBAx3H8QAAAwH85juNAx3H8QAAA\\nwH9yHOdAx3H8QAAAwH+rqupAx3H8QAAAwH/kOO5Ax3H8QAAAwH8cx/FAx3H8QAAAwH9VVfVA\\nx3H8QAAAwH+O4/hAx3H8QAAAwH/HcfxAx3H8QAAAwH8AAABBx3H8QAAAwH8cxwFBx3H8QAAA\\nwH85jgNBx3H8QAAAwH9VVQVBx3H8QAAAwH9yHAdBx3H8QAAAwH+O4whBx3H8QAAAwH+rqgpB\\nx3H8QAAAwH/HcQxBx3H8QAAAwH/kOA5Bx3H8QAAAwH8AABBBx3H8QAAAwH8cxxFBx3H8QAAA\\nwH85jhNBx3H8QAAAwH9VVRVBx3H8QAAAwH9yHBdBx3H8QAAAwH+O4xhBx3H8QAAAwH+rqhpB\\nx3H8QAAAwH/HcRxBx3H8QAAAwH/kOB5Bx3H8QAAAwH8AACBBx3H8QAAAwH8AAIC/AAAAQQAA\\nwH85jmO/AAAAQQAAwH9yHEe/AAAAQQAAwH+rqiq/AAAAQQAAwH/kOA6/AAAAQQAAwH85juO+\\nAAAAQQAAwH+rqqq+AAAAQQAAwH85jmO+AAAAQQAAwH85juO9AAAAQQAAwH8AAAAAAAAAQQAA\\nwH85juM9AAAAQQAAwH85jmM+AAAAQQAAwH+rqqo+AAAAQQAAwH85juM+AAAAQQAAwH/kOA4/\\nAAAAQQAAwH+rqio/AAAAQQAAwH9yHEc/AAAAQQAAwH85jmM/AAAAQQAAwH8AAIA/AAAAQQAA\\nwH/kOI4/AAAAQQAAwH/HcZw/AAAAQQAAwH+rqqo/AAAAQQAAwH+O47g/AAAAQQAAwH9yHMc/\\nAAAAQQAAwH9VVdU/AAAAQQAAwH85juM/AAAAQQAAwH8cx/E/AAAAQQAAwH8AAABAAAAAQQAA\\nwH9yHAdAAAAAQQAAwH/kOA5AAAAAQQAAwH9VVRVAAAAAQQAAwH/HcRxAAAAAQQAAwH85jiNA\\nAAAAQQAAwH+rqipAAAAAQQAAwH8cxzFAAAAAQQAAwH+O4zhAAAAAQQAAwH8AAEBAAAAAQQAA\\nwH9yHEdAAAAAQQAAwH/kOE5AAAAAQQAAwH9VVVVAAAAAQQAAwH/HcVxAAAAAQQAAwH85jmNA\\nAAAAQQAAwH+rqmpAAAAAQQAAwH8cx3FAAAAAQQAAwH+O43hAAAAAQQAAwH8AAIBAAAAAQQAA\\nwH85joNAAAAAQQAAwH9yHIdAAAAAQQAAwH+rqopAAAAAQQAAwH/kOI5AAAAAQQAAwH8cx5FA\\nAAAAQQAAwH9VVZVAAAAAQQAAwH+O45hAAAAAQQAAwH/HcZxAAAAAQQAAwH8AAKBAAAAAQQAA\\nwH85jqNAAAAAQQAAwH9yHKdAAAAAQQAAwH+rqqpAAAAAQQAAwH/kOK5AAAAAQQAAwH8cx7FA\\nAAAAQQAAwH9VVbVAAAAAQQAAwH+O47hAAAAAQQAAwH/HcbxAAAAAQQAAwH8AAMBAAAAAQQAA\\nwH85jsNAAAAAQQAAwH9yHMdAAAAAQQAAwH+rqspAAAAAQQAAwH/kOM5AAAAAQQAAwH8cx9FA\\nAAAAQQAAwH9VVdVAAAAAQQAAwH+O49hAAAAAQQAAwH/HcdxAAAAAQQAAwH8AAOBAAAAAQQAA\\nwH85juNAAAAAQQAAwH9yHOdAAAAAQQAAwH+rqupAAAAAQQAAwH/kOO5AAAAAQQAAwH8cx/FA\\nAAAAQQAAwH9VVfVAAAAAQQAAwH+O4/hAAAAAQQAAwH/HcfxAAAAAQQAAwH8AAABBAAAAQQAA\\nwH8cxwFBAAAAQQAAwH85jgNBAAAAQQAAwH9VVQVBAAAAQQAAwH9yHAdBAAAAQQAAwH+O4whB\\nAAAAQQAAwH+rqgpBAAAAQQAAwH/HcQxBAAAAQQAAwH/kOA5BAAAAQQAAwH8AABBBAAAAQQAA\\nwH8cxxFBAAAAQQAAwH85jhNBAAAAQQAAwH9VVRVBAAAAQQAAwH9yHBdBAAAAQQAAwH+O4xhB\\nAAAAQQAAwH+rqhpBAAAAQQAAwH/HcRxBAAAAQQAAwH/kOB5BAAAAQQAAwH8AACBBAAAAQQAA\\nwH8AAIC/HMcBQQAAwH85jmO/HMcBQQAAwH9yHEe/HMcBQQAAwH+rqiq/HMcBQQAAwH/kOA6/\\nHMcBQQAAwH85juO+HMcBQQAAwH+rqqq+HMcBQQAAwH85jmO+HMcBQQAAwH85juO9HMcBQQAA\\nwH8AAAAAHMcBQQAAwH85juM9HMcBQQAAwH85jmM+HMcBQQAAwH+rqqo+HMcBQQAAwH85juM+\\nHMcBQQAAwH/kOA4/HMcBQQAAwH+rqio/HMcBQQAAwH9yHEc/HMcBQQAAwH85jmM/HMcBQQAA\\nwH8AAIA/HMcBQQAAwH/kOI4/HMcBQQAAwH/HcZw/HMcBQQAAwH+rqqo/HMcBQQAAwH+O47g/\\nHMcBQQAAwH9yHMc/HMcBQQAAwH9VVdU/HMcBQQAAwH85juM/HMcBQQAAwH8cx/E/HMcBQQAA\\nwH8AAABAHMcBQQAAwH9yHAdAHMcBQQAAwH/kOA5AHMcBQQAAwH9VVRVAHMcBQQAAwH/HcRxA\\nHMcBQQAAwH85jiNAHMcBQQAAwH+rqipAHMcBQQAAwH8cxzFAHMcBQQAAwH+O4zhAHMcBQQAA\\nwH8AAEBAHMcBQQAAwH9yHEdAHMcBQQAAwH/kOE5AHMcBQQAAwH9VVVVAHMcBQQAAwH/HcVxA\\nHMcBQQAAwH85jmNAHMcBQQAAwH+rqmpAHMcBQQAAwH8cx3FAHMcBQQAAwH+O43hAHMcBQQAA\\nwH8AAIBAHMcBQQAAwH85joNAHMcBQQAAwH9yHIdAHMcBQQAAwH+rqopAHMcBQQAAwH/kOI5A\\nHMcBQQAAwH8cx5FAHMcBQQAAwH9VVZVAHMcBQQAAwH+O45hAHMcBQQAAwH/HcZxAHMcBQQAA\\nwH8AAKBAHMcBQQAAwH85jqNAHMcBQQAAwH9yHKdAHMcBQQAAwH+rqqpAHMcBQQAAwH/kOK5A\\nHMcBQQAAwH8cx7FAHMcBQQAAwH9VVbVAHMcBQQAAwH+O47hAHMcBQQAAwH/HcbxAHMcBQQAA\\nwH8AAMBAHMcBQQAAwH85jsNAHMcBQQAAwH9yHMdAHMcBQQAAwH+rqspAHMcBQQAAwH/kOM5A\\nHMcBQQAAwH8cx9FAHMcBQQAAwH9VVdVAHMcBQQAAwH+O49hAHMcBQQAAwH/HcdxAHMcBQQAA\\nwH8AAOBAHMcBQQAAwH85juNAHMcBQQAAwH9yHOdAHMcBQQAAwH+rqupAHMcBQQAAwH/kOO5A\\nHMcBQQAAwH8cx/FAHMcBQQAAwH9VVfVAHMcBQQAAwH+O4/hAHMcBQQAAwH/HcfxAHMcBQQAA\\nwH8AAABBHMcBQQAAwH8cxwFBHMcBQQAAwH85jgNBHMcBQQAAwH9VVQVBHMcBQQAAwH9yHAdB\\nHMcBQQAAwH+O4whBHMcBQQAAwH+rqgpBHMcBQQAAwH/HcQxBHMcBQQAAwH/kOA5BHMcBQQAA\\nwH8AABBBHMcBQQAAwH8cxxFBHMcBQQAAwH85jhNBHMcBQQAAwH9VVRVBHMcBQQAAwH9yHBdB\\nHMcBQQAAwH+O4xhBHMcBQQAAwH+rqhpBHMcBQQAAwH/HcRxBHMcBQQAAwH/kOB5BHMcBQQAA\\nwH8AACBBHMcBQQAAwH8AAIC/OY4DQQAAwH85jmO/OY4DQQAAwH9yHEe/OY4DQQAAwH+rqiq/\\nOY4DQQAAwH/kOA6/OY4DQQAAwH85juO+OY4DQQAAwH+rqqq+OY4DQQAAwH85jmO+OY4DQQAA\\nwH85juO9OY4DQQAAwH8AAAAAOY4DQQAAwH85juM9OY4DQQAAwH85jmM+OY4DQQAAwH+rqqo+\\nOY4DQQAAwH85juM+OY4DQQAAwH/kOA4/OY4DQQAAwH+rqio/OY4DQQAAwH9yHEc/OY4DQQAA\\nwH85jmM/OY4DQQAAwH8AAIA/OY4DQQAAwH/kOI4/OY4DQQAAwH/HcZw/OY4DQQAAwH+rqqo/\\nOY4DQQAAwH+O47g/OY4DQQAAwH9yHMc/OY4DQQAAwH9VVdU/OY4DQQAAwH85juM/OY4DQQAA\\nwH8cx/E/OY4DQQAAwH8AAABAOY4DQQAAwH9yHAdAOY4DQQAAwH/kOA5AOY4DQQAAwH9VVRVA\\nOY4DQQAAwH/HcRxAOY4DQQAAwH85jiNAOY4DQQAAwH+rqipAOY4DQQAAwH8cxzFAOY4DQQAA\\nwH+O4zhAOY4DQQAAwH8AAEBAOY4DQQAAwH9yHEdAOY4DQQAAwH/kOE5AOY4DQQAAwH9VVVVA\\nOY4DQQAAwH/HcVxAOY4DQQAAwH85jmNAOY4DQQAAwH+rqmpAOY4DQQAAwH8cx3FAOY4DQQAA\\nwH+O43hAOY4DQQAAwH8AAIBAOY4DQQAAwH85joNAOY4DQQAAwH9yHIdAOY4DQQAAwH+rqopA\\nOY4DQQAAwH/kOI5AOY4DQQAAwH8cx5FAOY4DQQAAwH9VVZVAOY4DQQAAwH+O45hAOY4DQQAA\\nwH/HcZxAOY4DQQAAwH8AAKBAOY4DQQAAwH85jqNAOY4DQQAAwH9yHKdAOY4DQQAAwH+rqqpA\\nOY4DQQAAwH/kOK5AOY4DQQAAwH8cx7FAOY4DQQAAwH9VVbVAOY4DQQAAwH+O47hAOY4DQQAA\\nwH/HcbxAOY4DQQAAwH8AAMBAOY4DQQAAwH85jsNAOY4DQQAAwH9yHMdAOY4DQQAAwH+rqspA\\nOY4DQQAAwH/kOM5AOY4DQQAAwH8cx9FAOY4DQQAAwH9VVdVAOY4DQQAAwH+O49hAOY4DQQAA\\nwH/HcdxAOY4DQQAAwH8AAOBAOY4DQQAAwH85juNAOY4DQQAAwH9yHOdAOY4DQQAAwH+rqupA\\nOY4DQQAAwH/kOO5AOY4DQQAAwH8cx/FAOY4DQQAAwH9VVfVAOY4DQQAAwH+O4/hAOY4DQQAA\\nwH/HcfxAOY4DQQAAwH8AAABBOY4DQQAAwH8cxwFBOY4DQQAAwH85jgNBOY4DQQAAwH9VVQVB\\nOY4DQQAAwH9yHAdBOY4DQQAAwH+O4whBOY4DQQAAwH+rqgpBOY4DQQAAwH/HcQxBOY4DQQAA\\nwH/kOA5BOY4DQQAAwH8AABBBOY4DQQAAwH8cxxFBOY4DQQAAwH85jhNBOY4DQQAAwH9VVRVB\\nOY4DQQAAwH9yHBdBOY4DQQAAwH+O4xhBOY4DQQAAwH+rqhpBOY4DQQAAwH/HcRxBOY4DQQAA\\nwH/kOB5BOY4DQQAAwH8AACBBOY4DQQAAwH8AAIC/VVUFQQAAwH85jmO/VVUFQQAAwH9yHEe/\\nVVUFQQAAwH+rqiq/VVUFQQAAwH/kOA6/VVUFQQAAwH85juO+VVUFQQAAwH+rqqq+VVUFQQAA\\nwH85jmO+VVUFQQAAwH85juO9VVUFQQAAwH8AAAAAVVUFQQAAwH85juM9VVUFQQAAwH85jmM+\\nVVUFQQAAwH+rqqo+VVUFQQAAwH85juM+VVUFQQAAwH/kOA4/VVUFQQAAwH+rqio/VVUFQQAA\\nwH9yHEc/VVUFQQAAwH85jmM/VVUFQQAAwH8AAIA/VVUFQQAAwH/kOI4/VVUFQQAAwH/HcZw/\\nVVUFQQAAwH+rqqo/VVUFQQAAwH+O47g/VVUFQQAAwH9yHMc/VVUFQQAAwH9VVdU/VVUFQQAA\\nwH85juM/VVUFQQAAwH8cx/E/VVUFQQAAwH8AAABAVVUFQQAAwH9yHAdAVVUFQQAAwH/kOA5A\\nVVUFQQAAwH9VVRVAVVUFQQAAwH/HcRxAVVUFQQAAwH85jiNAVVUFQQAAwH+rqipAVVUFQQAA\\nwH8cxzFAVVUFQQAAwH+O4zhAVVUFQQAAwH8AAEBAVVUFQQAAwH9yHEdAVVUFQQAAwH/kOE5A\\nVVUFQQAAwH9VVVVAVVUFQQAAwH/HcVxAVVUFQQAAwH85jmNAVVUFQQAAwH+rqmpAVVUFQQAA\\nwH8cx3FAVVUFQQAAwH+O43hAVVUFQQAAwH8AAIBAVVUFQQAAwH85joNAVVUFQQAAwH9yHIdA\\nVVUFQQAAwH+rqopAVVUFQQAAwH/kOI5AVVUFQQAAwH8cx5FAVVUFQQAAwH9VVZVAVVUFQQAA\\nwH+O45hAVVUFQQAAwH/HcZxAVVUFQQAAwH8AAKBAVVUFQQAAwH85jqNAVVUFQQAAwH9yHKdA\\nVVUFQQAAwH+rqqpAVVUFQQAAwH/kOK5AVVUFQQAAwH8cx7FAVVUFQQAAwH9VVbVAVVUFQQAA\\nwH+O47hAVVUFQQAAwH/HcbxAVVUFQQAAwH8AAMBAVVUFQQAAwH85jsNAVVUFQQAAwH9yHMdA\\nVVUFQQAAwH+rqspAVVUFQQAAwH/kOM5AVVUFQQAAwH8cx9FAVVUFQQAAwH9VVdVAVVUFQQAA\\nwH+O49hAVVUFQQAAwH/HcdxAVVUFQQAAwH8AAOBAVVUFQQAAwH85juNAVVUFQQAAwH9yHOdA\\nVVUFQQAAwH+rqupAVVUFQQAAwH/kOO5AVVUFQQAAwH8cx/FAVVUFQQAAwH9VVfVAVVUFQQAA\\nwH+O4/hAVVUFQQAAwH/HcfxAVVUFQQAAwH8AAABBVVUFQQAAwH8cxwFBVVUFQQAAwH85jgNB\\nVVUFQQAAwH9VVQVBVVUFQQAAwH9yHAdBVVUFQQAAwH+O4whBVVUFQQAAwH+rqgpBVVUFQQAA\\nwH/HcQxBVVUFQQAAwH/kOA5BVVUFQQAAwH8AABBBVVUFQQAAwH8cxxFBVVUFQQAAwH85jhNB\\nVVUFQQAAwH9VVRVBVVUFQQAAwH9yHBdBVVUFQQAAwH+O4xhBVVUFQQAAwH+rqhpBVVUFQQAA\\nwH/HcRxBVVUFQQAAwH/kOB5BVVUFQQAAwH8AACBBVVUFQQAAwH8AAIC/chwHQQAAwH85jmO/\\nchwHQQAAwH9yHEe/chwHQQAAwH+rqiq/chwHQQAAwH/kOA6/chwHQQAAwH85juO+chwHQQAA\\nwH+rqqq+chwHQQAAwH85jmO+chwHQQAAwH85juO9chwHQQAAwH8AAAAAchwHQQAAwH85juM9\\nchwHQQAAwH85jmM+chwHQQAAwH+rqqo+chwHQQAAwH85juM+chwHQQAAwH/kOA4/chwHQQAA\\nwH+rqio/chwHQQAAwH9yHEc/chwHQQAAwH85jmM/chwHQQAAwH8AAIA/chwHQQAAwH/kOI4/\\nchwHQQAAwH/HcZw/chwHQQAAwH+rqqo/chwHQQAAwH+O47g/chwHQQAAwH9yHMc/chwHQQAA\\nwH9VVdU/chwHQQAAwH85juM/chwHQQAAwH8cx/E/chwHQQAAwH8AAABAchwHQQAAwH9yHAdA\\nchwHQQAAwH/kOA5AchwHQQAAwH9VVRVAchwHQQAAwH/HcRxAchwHQQAAwH85jiNAchwHQQAA\\nwH+rqipAchwHQQAAwH8cxzFAchwHQQAAwH+O4zhAchwHQQAAwH8AAEBAchwHQQAAwH9yHEdA\\nchwHQQAAwH/kOE5AchwHQQAAwH9VVVVAchwHQQAAwH/HcVxAchwHQQAAwH85jmNAchwHQQAA\\nwH+rqmpAchwHQQAAwH8cx3FAchwHQQAAwH+O43hAchwHQQAAwH8AAIBAchwHQQAAwH85joNA\\nchwHQQAAwH9yHIdAchwHQQAAwH+rqopAchwHQQAAwH/kOI5AchwHQQAAwH8cx5FAchwHQQAA\\nwH9VVZVAchwHQQAAwH+O45hAchwHQQAAwH/HcZxAchwHQQAAwH8AAKBAchwHQQAAwH85jqNA\\nchwHQQAAwH9yHKdAchwHQQAAwH+rqqpAchwHQQAAwH/kOK5AchwHQQAAwH8cx7FAchwHQQAA\\nwH9VVbVAchwHQQAAwH+O47hAchwHQQAAwH/HcbxAchwHQQAAwH8AAMBAchwHQQAAwH85jsNA\\nchwHQQAAwH9yHMdAchwHQQAAwH+rqspAchwHQQAAwH/kOM5AchwHQQAAwH8cx9FAchwHQQAA\\nwH9VVdVAchwHQQAAwH+O49hAchwHQQAAwH/HcdxAchwHQQAAwH8AAOBAchwHQQAAwH85juNA\\nchwHQQAAwH9yHOdAchwHQQAAwH+rqupAchwHQQAAwH/kOO5AchwHQQAAwH8cx/FAchwHQQAA\\nwH9VVfVAchwHQQAAwH+O4/hAchwHQQAAwH/HcfxAchwHQQAAwH8AAABBchwHQQAAwH8cxwFB\\nchwHQQAAwH85jgNBchwHQQAAwH9VVQVBchwHQQAAwH9yHAdBchwHQQAAwH+O4whBchwHQQAA\\nwH+rqgpBchwHQQAAwH/HcQxBchwHQQAAwH/kOA5BchwHQQAAwH8AABBBchwHQQAAwH8cxxFB\\nchwHQQAAwH85jhNBchwHQQAAwH9VVRVBchwHQQAAwH9yHBdBchwHQQAAwH+O4xhBchwHQQAA\\nwH+rqhpBchwHQQAAwH/HcRxBchwHQQAAwH/kOB5BchwHQQAAwH8AACBBchwHQQAAwH8AAIC/\\njuMIQQAAwH85jmO/juMIQQAAwH9yHEe/juMIQQAAwH+rqiq/juMIQQAAwH/kOA6/juMIQQAA\\nwH85juO+juMIQQAAwH+rqqq+juMIQQAAwH85jmO+juMIQQAAwH85juO9juMIQQAAwH8AAAAA\\njuMIQQAAwH85juM9juMIQQAAwH85jmM+juMIQQAAwH+rqqo+juMIQQAAwH85juM+juMIQQAA\\nwH/kOA4/juMIQQAAwH+rqio/juMIQQAAwH9yHEc/juMIQQAAwH85jmM/juMIQQAAwH8AAIA/\\njuMIQQAAwH/kOI4/juMIQQAAwH/HcZw/juMIQQAAwH+rqqo/juMIQQAAwH+O47g/juMIQQAA\\nwH9yHMc/juMIQQAAwH9VVdU/juMIQQAAwH85juM/juMIQQAAwH8cx/E/juMIQQAAwH8AAABA\\njuMIQQAAwH9yHAdAjuMIQQAAwH/kOA5AjuMIQQAAwH9VVRVAjuMIQQAAwH/HcRxAjuMIQQAA\\nwH85jiNAjuMIQQAAwH+rqipAjuMIQQAAwH8cxzFAjuMIQQAAwH+O4zhAjuMIQQAAwH8AAEBA\\njuMIQQAAwH9yHEdAjuMIQQAAwH/kOE5AjuMIQQAAwH9VVVVAjuMIQQAAwH/HcVxAjuMIQQAA\\nwH85jmNAjuMIQQAAwH+rqmpAjuMIQQAAwH8cx3FAjuMIQQAAwH+O43hAjuMIQQAAwH8AAIBA\\njuMIQQAAwH85joNAjuMIQQAAwH9yHIdAjuMIQQAAwH+rqopAjuMIQQAAwH/kOI5AjuMIQQAA\\nwH8cx5FAjuMIQQAAwH9VVZVAjuMIQQAAwH+O45hAjuMIQQAAwH/HcZxAjuMIQQAAwH8AAKBA\\njuMIQQAAwH85jqNAjuMIQQAAwH9yHKdAjuMIQQAAwH+rqqpAjuMIQQAAwH/kOK5AjuMIQQAA\\nwH8cx7FAjuMIQQAAwH9VVbVAjuMIQQAAwH+O47hAjuMIQQAAwH/HcbxAjuMIQQAAwH8AAMBA\\njuMIQQAAwH85jsNAjuMIQQAAwH9yHMdAjuMIQQAAwH+rqspAjuMIQQAAwH/kOM5AjuMIQQAA\\nwH8cx9FAjuMIQQAAwH9VVdVAjuMIQQAAwH+O49hAjuMIQQAAwH/HcdxAjuMIQQAAwH8AAOBA\\njuMIQQAAwH85juNAjuMIQQAAwH9yHOdAjuMIQQAAwH+rqupAjuMIQQAAwH/kOO5AjuMIQQAA\\nwH8cx/FAjuMIQQAAwH9VVfVAjuMIQQAAwH+O4/hAjuMIQQAAwH/HcfxAjuMIQQAAwH8AAABB\\njuMIQQAAwH8cxwFBjuMIQQAAwH85jgNBjuMIQQAAwH9VVQVBjuMIQQAAwH9yHAdBjuMIQQAA\\nwH+O4whBjuMIQQAAwH+rqgpBjuMIQQAAwH/HcQxBjuMIQQAAwH/kOA5BjuMIQQAAwH8AABBB\\njuMIQQAAwH8cxxFBjuMIQQAAwH85jhNBjuMIQQAAwH9VVRVBjuMIQQAAwH9yHBdBjuMIQQAA\\nwH+O4xhBjuMIQQAAwH+rqhpBjuMIQQAAwH/HcRxBjuMIQQAAwH/kOB5BjuMIQQAAwH8AACBB\\njuMIQQAAwH8AAIC/q6oKQQAAwH85jmO/q6oKQQAAwH9yHEe/q6oKQQAAwH+rqiq/q6oKQQAA\\nwH/kOA6/q6oKQQAAwH85juO+q6oKQQAAwH+rqqq+q6oKQQAAwH85jmO+q6oKQQAAwH85juO9\\nq6oKQQAAwH8AAAAAq6oKQQAAwH85juM9q6oKQQAAwH85jmM+q6oKQQAAwH+rqqo+q6oKQQAA\\nwH85juM+q6oKQQAAwH/kOA4/q6oKQQAAwH+rqio/q6oKQQAAwH9yHEc/q6oKQQAAwH85jmM/\\nq6oKQQAAwH8AAIA/q6oKQQAAwH/kOI4/q6oKQQAAwH/HcZw/q6oKQQAAwH+rqqo/q6oKQQAA\\nwH+O47g/q6oKQQAAwH9yHMc/q6oKQQAAwH9VVdU/q6oKQQAAwH85juM/q6oKQQAAwH8cx/E/\\nq6oKQQAAwH8AAABAq6oKQQAAwH9yHAdAq6oKQQAAwH/kOA5Aq6oKQQAAwH9VVRVAq6oKQQAA\\nwH/HcRxAq6oKQQAAwH85jiNAq6oKQQAAwH+rqipAq6oKQQAAwH8cxzFAq6oKQQAAwH+O4zhA\\nq6oKQQAAwH8AAEBAq6oKQQAAwH9yHEdAq6oKQQAAwH/kOE5Aq6oKQQAAwH9VVVVAq6oKQQAA\\nwH/HcVxAq6oKQQAAwH85jmNAq6oKQQAAwH+rqmpAq6oKQQAAwH8cx3FAq6oKQQAAwH+O43hA\\nq6oKQQAAwH8AAIBAq6oKQQAAwH85joNAq6oKQQAAwH9yHIdAq6oKQQAAwH+rqopAq6oKQQAA\\nwH/kOI5Aq6oKQQAAwH8cx5FAq6oKQQAAwH9VVZVAq6oKQQAAwH+O45hAq6oKQQAAwH/HcZxA\\nq6oKQQAAwH8AAKBAq6oKQQAAwH85jqNAq6oKQQAAwH9yHKdAq6oKQQAAwH+rqqpAq6oKQQAA\\nwH/kOK5Aq6oKQQAAwH8cx7FAq6oKQQAAwH9VVbVAq6oKQQAAwH+O47hAq6oKQQAAwH/HcbxA\\nq6oKQQAAwH8AAMBAq6oKQQAAwH85jsNAq6oKQQAAwH9yHMdAq6oKQQAAwH+rqspAq6oKQQAA\\nwH/kOM5Aq6oKQQAAwH8cx9FAq6oKQQAAwH9VVdVAq6oKQQAAwH+O49hAq6oKQQAAwH/HcdxA\\nq6oKQQAAwH8AAOBAq6oKQQAAwH85juNAq6oKQQAAwH9yHOdAq6oKQQAAwH+rqupAq6oKQQAA\\nwH/kOO5Aq6oKQQAAwH8cx/FAq6oKQQAAwH9VVfVAq6oKQQAAwH+O4/hAq6oKQQAAwH/HcfxA\\nq6oKQQAAwH8AAABBq6oKQQAAwH8cxwFBq6oKQQAAwH85jgNBq6oKQQAAwH9VVQVBq6oKQQAA\\nwH9yHAdBq6oKQQAAwH+O4whBq6oKQQAAwH+rqgpBq6oKQQAAwH/HcQxBq6oKQQAAwH/kOA5B\\nq6oKQQAAwH8AABBBq6oKQQAAwH8cxxFBq6oKQQAAwH85jhNBq6oKQQAAwH9VVRVBq6oKQQAA\\nwH9yHBdBq6oKQQAAwH+O4xhBq6oKQQAAwH+rqhpBq6oKQQAAwH/HcRxBq6oKQQAAwH/kOB5B\\nq6oKQQAAwH8AACBBq6oKQQAAwH8AAIC/x3EMQQAAwH85jmO/x3EMQQAAwH9yHEe/x3EMQQAA\\nwH+rqiq/x3EMQQAAwH/kOA6/x3EMQQAAwH85juO+x3EMQQAAwH+rqqq+x3EMQQAAwH85jmO+\\nx3EMQQAAwH85juO9x3EMQQAAwH8AAAAAx3EMQQAAwH85juM9x3EMQQAAwH85jmM+x3EMQQAA\\nwH+rqqo+x3EMQQAAwH85juM+x3EMQQAAwH/kOA4/x3EMQQAAwH+rqio/x3EMQQAAwH9yHEc/\\nx3EMQQAAwH85jmM/x3EMQQAAwH8AAIA/x3EMQQAAwH/kOI4/x3EMQQAAwH/HcZw/x3EMQQAA\\nwH+rqqo/x3EMQQAAwH+O47g/x3EMQQAAwH9yHMc/x3EMQQAAwH9VVdU/x3EMQQAAwH85juM/\\nx3EMQQAAwH8cx/E/x3EMQQAAwH8AAABAx3EMQQAAwH9yHAdAx3EMQQAAwH/kOA5Ax3EMQQAA\\nwH9VVRVAx3EMQQAAwH/HcRxAx3EMQQAAwH85jiNAx3EMQQAAwH+rqipAx3EMQQAAwH8cxzFA\\nx3EMQQAAwH+O4zhAx3EMQQAAwH8AAEBAx3EMQQAAwH9yHEdAx3EMQQAAwH/kOE5Ax3EMQQAA\\nwH9VVVVAx3EMQQAAwH/HcVxAx3EMQQAAwH85jmNAx3EMQQAAwH+rqmpAx3EMQQAAwH8cx3FA\\nx3EMQQAAwH+O43hAx3EMQQAAwH8AAIBAx3EMQQAAwH85joNAx3EMQQAAwH9yHIdAx3EMQQAA\\nwH+rqopAx3EMQQAAwH/kOI5Ax3EMQQAAwH8cx5FAx3EMQQAAwH9VVZVAx3EMQQAAwH+O45hA\\nx3EMQQAAwH/HcZxAx3EMQQAAwH8AAKBAx3EMQQAAwH85jqNAx3EMQQAAwH9yHKdAx3EMQQAA\\nwH+rqqpAx3EMQQAAwH/kOK5Ax3EMQQAAwH8cx7FAx3EMQQAAwH9VVbVAx3EMQQAAwH+O47hA\\nx3EMQQAAwH/HcbxAx3EMQQAAwH8AAMBAx3EMQQAAwH85jsNAx3EMQQAAwH9yHMdAx3EMQQAA\\nwH+rqspAx3EMQQAAwH/kOM5Ax3EMQQAAwH8cx9FAx3EMQQAAwH9VVdVAx3EMQQAAwH+O49hA\\nx3EMQQAAwH/HcdxAx3EMQQAAwH8AAOBAx3EMQQAAwH85juNAx3EMQQAAwH9yHOdAx3EMQQAA\\nwH+rqupAx3EMQQAAwH/kOO5Ax3EMQQAAwH8cx/FAx3EMQQAAwH9VVfVAx3EMQQAAwH+O4/hA\\nx3EMQQAAwH/HcfxAx3EMQQAAwH8AAABBx3EMQQAAwH8cxwFBx3EMQQAAwH85jgNBx3EMQQAA\\nwH9VVQVBx3EMQQAAwH9yHAdBx3EMQQAAwH+O4whBx3EMQQAAwH+rqgpBx3EMQQAAwH/HcQxB\\nx3EMQQAAwH/kOA5Bx3EMQQAAwH8AABBBx3EMQQAAwH8cxxFBx3EMQQAAwH85jhNBx3EMQQAA\\nwH9VVRVBx3EMQQAAwH9yHBdBx3EMQQAAwH+O4xhBx3EMQQAAwH+rqhpBx3EMQQAAwH/HcRxB\\nx3EMQQAAwH/kOB5Bx3EMQQAAwH8AACBBx3EMQQAAwH8AAIC/5DgOQQAAwH85jmO/5DgOQQAA\\nwH9yHEe/5DgOQQAAwH+rqiq/5DgOQQAAwH/kOA6/5DgOQQAAwH85juO+5DgOQQAAwH+rqqq+\\n5DgOQQAAwH85jmO+5DgOQQAAwH85juO95DgOQQAAwH8AAAAA5DgOQQAAwH85juM95DgOQQAA\\nwH85jmM+5DgOQQAAwH+rqqo+5DgOQQAAwH85juM+5DgOQQAAwH/kOA4/5DgOQQAAwH+rqio/\\n5DgOQQAAwH9yHEc/5DgOQQAAwH85jmM/5DgOQQAAwH8AAIA/5DgOQQAAwH/kOI4/5DgOQQAA\\nwH/HcZw/5DgOQQAAwH+rqqo/5DgOQQAAwH+O47g/5DgOQQAAwH9yHMc/5DgOQQAAwH9VVdU/\\n5DgOQQAAwH85juM/5DgOQQAAwH8cx/E/5DgOQQAAwH8AAABA5DgOQQAAwH9yHAdA5DgOQQAA\\nwH/kOA5A5DgOQQAAwH9VVRVA5DgOQQAAwH/HcRxA5DgOQQAAwH85jiNA5DgOQQAAwH+rqipA\\n5DgOQQAAwH8cxzFA5DgOQQAAwH+O4zhA5DgOQQAAwH8AAEBA5DgOQQAAwH9yHEdA5DgOQQAA\\nwH/kOE5A5DgOQQAAwH9VVVVA5DgOQQAAwH/HcVxA5DgOQQAAwH85jmNA5DgOQQAAwH+rqmpA\\n5DgOQQAAwH8cx3FA5DgOQQAAwH+O43hA5DgOQQAAwH8AAIBA5DgOQQAAwH85joNA5DgOQQAA\\nwH9yHIdA5DgOQQAAwH+rqopA5DgOQQAAwH/kOI5A5DgOQQAAwH8cx5FA5DgOQQAAwH9VVZVA\\n5DgOQQAAwH+O45hA5DgOQQAAwH/HcZxA5DgOQQAAwH8AAKBA5DgOQQAAwH85jqNA5DgOQQAA\\nwH9yHKdA5DgOQQAAwH+rqqpA5DgOQQAAwH/kOK5A5DgOQQAAwH8cx7FA5DgOQQAAwH9VVbVA\\n5DgOQQAAwH+O47hA5DgOQQAAwH/HcbxA5DgOQQAAwH8AAMBA5DgOQQAAwH85jsNA5DgOQQAA\\nwH9yHMdA5DgOQQAAwH+rqspA5DgOQQAAwH/kOM5A5DgOQQAAwH8cx9FA5DgOQQAAwH9VVdVA\\n5DgOQQAAwH+O49hA5DgOQQAAwH/HcdxA5DgOQQAAwH8AAOBA5DgOQQAAwH85juNA5DgOQQAA\\nwH9yHOdA5DgOQQAAwH+rqupA5DgOQQAAwH/kOO5A5DgOQQAAwH8cx/FA5DgOQQAAwH9VVfVA\\n5DgOQQAAwH+O4/hA5DgOQQAAwH/HcfxA5DgOQQAAwH8AAABB5DgOQQAAwH8cxwFB5DgOQQAA\\nwH85jgNB5DgOQQAAwH9VVQVB5DgOQQAAwH9yHAdB5DgOQQAAwH+O4whB5DgOQQAAwH+rqgpB\\n5DgOQQAAwH/HcQxB5DgOQQAAwH/kOA5B5DgOQQAAwH8AABBB5DgOQQAAwH8cxxFB5DgOQQAA\\nwH85jhNB5DgOQQAAwH9VVRVB5DgOQQAAwH9yHBdB5DgOQQAAwH+O4xhB5DgOQQAAwH+rqhpB\\n5DgOQQAAwH/HcRxB5DgOQQAAwH/kOB5B5DgOQQAAwH8AACBB5DgOQQAAwH8AAIC/AAAQQQAA\\nwH85jmO/AAAQQQAAwH9yHEe/AAAQQQAAwH+rqiq/AAAQQQAAwH/kOA6/AAAQQQAAwH85juO+\\nAAAQQQAAwH+rqqq+AAAQQQAAwH85jmO+AAAQQQAAwH85juO9AAAQQQAAwH8AAAAAAAAQQQAA\\nwH85juM9AAAQQQAAwH85jmM+AAAQQQAAwH+rqqo+AAAQQQAAwH85juM+AAAQQQAAwH/kOA4/\\nAAAQQQAAwH+rqio/AAAQQQAAwH9yHEc/AAAQQQAAwH85jmM/AAAQQQAAwH8AAIA/AAAQQQAA\\nwH/kOI4/AAAQQQAAwH/HcZw/AAAQQQAAwH+rqqo/AAAQQQAAwH+O47g/AAAQQQAAwH9yHMc/\\nAAAQQQAAwH9VVdU/AAAQQQAAwH85juM/AAAQQQAAwH8cx/E/AAAQQQAAwH8AAABAAAAQQQAA\\nwH9yHAdAAAAQQQAAwH/kOA5AAAAQQQAAwH9VVRVAAAAQQQAAwH/HcRxAAAAQQQAAwH85jiNA\\nAAAQQQAAwH+rqipAAAAQQQAAwH8cxzFAAAAQQQAAwH+O4zhAAAAQQQAAwH8AAEBAAAAQQQAA\\nwH9yHEdAAAAQQQAAwH/kOE5AAAAQQQAAwH9VVVVAAAAQQQAAwH/HcVxAAAAQQQAAwH85jmNA\\nAAAQQQAAwH+rqmpAAAAQQQAAwH8cx3FAAAAQQQAAwH+O43hAAAAQQQAAwH8AAIBAAAAQQQAA\\nwH85joNAAAAQQQAAwH9yHIdAAAAQQQAAwH+rqopAAAAQQQAAwH/kOI5AAAAQQQAAwH8cx5FA\\nAAAQQQAAwH9VVZVAAAAQQQAAwH+O45hAAAAQQQAAwH/HcZxAAAAQQQAAwH8AAKBAAAAQQQAA\\nwH85jqNAAAAQQQAAwH9yHKdAAAAQQQAAwH+rqqpAAAAQQQAAwH/kOK5AAAAQQQAAwH8cx7FA\\nAAAQQQAAwH9VVbVAAAAQQQAAwH+O47hAAAAQQQAAwH/HcbxAAAAQQQAAwH8AAMBAAAAQQQAA\\nwH85jsNAAAAQQQAAwH9yHMdAAAAQQQAAwH+rqspAAAAQQQAAwH/kOM5AAAAQQQAAwH8cx9FA\\nAAAQQQAAwH9VVdVAAAAQQQAAwH+O49hAAAAQQQAAwH/HcdxAAAAQQQAAwH8AAOBAAAAQQQAA\\nwH85juNAAAAQQQAAwH9yHOdAAAAQQQAAwH+rqupAAAAQQQAAwH/kOO5AAAAQQQAAwH8cx/FA\\nAAAQQQAAwH9VVfVAAAAQQQAAwH+O4/hAAAAQQQAAwH/HcfxAAAAQQQAAwH8AAABBAAAQQQAA\\nwH8cxwFBAAAQQQAAwH85jgNBAAAQQQAAwH9VVQVBAAAQQQAAwH9yHAdBAAAQQQAAwH+O4whB\\nAAAQQQAAwH+rqgpBAAAQQQAAwH/HcQxBAAAQQQAAwH/kOA5BAAAQQQAAwH8AABBBAAAQQQAA\\nwH8cxxFBAAAQQQAAwH85jhNBAAAQQQAAwH9VVRVBAAAQQQAAwH9yHBdBAAAQQQAAwH+O4xhB\\nAAAQQQAAwH+rqhpBAAAQQQAAwH/HcRxBAAAQQQAAwH/kOB5BAAAQQQAAwH8AACBBAAAQQQAA\\nwH8AAIC/HMcRQQAAwH85jmO/HMcRQQAAwH9yHEe/HMcRQQAAwH+rqiq/HMcRQQAAwH/kOA6/\\nHMcRQQAAwH85juO+HMcRQQAAwH+rqqq+HMcRQQAAwH85jmO+HMcRQQAAwH85juO9HMcRQQAA\\nwH8AAAAAHMcRQQAAwH85juM9HMcRQQAAwH85jmM+HMcRQQAAwH+rqqo+HMcRQQAAwH85juM+\\nHMcRQQAAwH/kOA4/HMcRQQAAwH+rqio/HMcRQQAAwH9yHEc/HMcRQQAAwH85jmM/HMcRQQAA\\nwH8AAIA/HMcRQQAAwH/kOI4/HMcRQQAAwH/HcZw/HMcRQQAAwH+rqqo/HMcRQQAAwH+O47g/\\nHMcRQQAAwH9yHMc/HMcRQQAAwH9VVdU/HMcRQQAAwH85juM/HMcRQQAAwH8cx/E/HMcRQQAA\\nwH8AAABAHMcRQQAAwH9yHAdAHMcRQQAAwH/kOA5AHMcRQQAAwH9VVRVAHMcRQQAAwH/HcRxA\\nHMcRQQAAwH85jiNAHMcRQQAAwH+rqipAHMcRQQAAwH8cxzFAHMcRQQAAwH+O4zhAHMcRQQAA\\nwH8AAEBAHMcRQQAAwH9yHEdAHMcRQQAAwH/kOE5AHMcRQQAAwH9VVVVAHMcRQQAAwH/HcVxA\\nHMcRQQAAwH85jmNAHMcRQQAAwH+rqmpAHMcRQQAAwH8cx3FAHMcRQQAAwH+O43hAHMcRQQAA\\nwH8AAIBAHMcRQQAAwH85joNAHMcRQQAAwH9yHIdAHMcRQQAAwH+rqopAHMcRQQAAwH/kOI5A\\nHMcRQQAAwH8cx5FAHMcRQQAAwH9VVZVAHMcRQQAAwH+O45hAHMcRQQAAwH/HcZxAHMcRQQAA\\nwH8AAKBAHMcRQQAAwH85jqNAHMcRQQAAwH9yHKdAHMcRQQAAwH+rqqpAHMcRQQAAwH/kOK5A\\nHMcRQQAAwH8cx7FAHMcRQQAAwH9VVbVAHMcRQQAAwH+O47hAHMcRQQAAwH/HcbxAHMcRQQAA\\nwH8AAMBAHMcRQQAAwH85jsNAHMcRQQAAwH9yHMdAHMcRQQAAwH+rqspAHMcRQQAAwH/kOM5A\\nHMcRQQAAwH8cx9FAHMcRQQAAwH9VVdVAHMcRQQAAwH+O49hAHMcRQQAAwH/HcdxAHMcRQQAA\\nwH8AAOBAHMcRQQAAwH85juNAHMcRQQAAwH9yHOdAHMcRQQAAwH+rqupAHMcRQQAAwH/kOO5A\\nHMcRQQAAwH8cx/FAHMcRQQAAwH9VVfVAHMcRQQAAwH+O4/hAHMcRQQAAwH/HcfxAHMcRQQAA\\nwH8AAABBHMcRQQAAwH8cxwFBHMcRQQAAwH85jgNBHMcRQQAAwH9VVQVBHMcRQQAAwH9yHAdB\\nHMcRQQAAwH+O4whBHMcRQQAAwH+rqgpBHMcRQQAAwH/HcQxBHMcRQQAAwH/kOA5BHMcRQQAA\\nwH8AABBBHMcRQQAAwH8cxxFBHMcRQQAAwH85jhNBHMcRQQAAwH9VVRVBHMcRQQAAwH9yHBdB\\nHMcRQQAAwH+O4xhBHMcRQQAAwH+rqhpBHMcRQQAAwH/HcRxBHMcRQQAAwH/kOB5BHMcRQQAA\\nwH8AACBBHMcRQQAAwH8AAIC/OY4TQQAAwH85jmO/OY4TQQAAwH9yHEe/OY4TQQAAwH+rqiq/\\nOY4TQQAAwH/kOA6/OY4TQQAAwH85juO+OY4TQQAAwH+rqqq+OY4TQQAAwH85jmO+OY4TQQAA\\nwH85juO9OY4TQQAAwH8AAAAAOY4TQQAAwH85juM9OY4TQQAAwH85jmM+OY4TQQAAwH+rqqo+\\nOY4TQQAAwH85juM+OY4TQQAAwH/kOA4/OY4TQQAAwH+rqio/OY4TQQAAwH9yHEc/OY4TQQAA\\nwH85jmM/OY4TQQAAwH8AAIA/OY4TQQAAwH/kOI4/OY4TQQAAwH/HcZw/OY4TQQAAwH+rqqo/\\nOY4TQQAAwH+O47g/OY4TQQAAwH9yHMc/OY4TQQAAwH9VVdU/OY4TQQAAwH85juM/OY4TQQAA\\nwH8cx/E/OY4TQQAAwH8AAABAOY4TQQAAwH9yHAdAOY4TQQAAwH/kOA5AOY4TQQAAwH9VVRVA\\nOY4TQQAAwH/HcRxAOY4TQQAAwH85jiNAOY4TQQAAwH+rqipAOY4TQQAAwH8cxzFAOY4TQQAA\\nwH+O4zhAOY4TQQAAwH8AAEBAOY4TQQAAwH9yHEdAOY4TQQAAwH/kOE5AOY4TQQAAwH9VVVVA\\nOY4TQQAAwH/HcVxAOY4TQQAAwH85jmNAOY4TQQAAwH+rqmpAOY4TQQAAwH8cx3FAOY4TQQAA\\nwH+O43hAOY4TQQAAwH8AAIBAOY4TQQAAwH85joNAOY4TQQAAwH9yHIdAOY4TQQAAwH+rqopA\\nOY4TQQAAwH/kOI5AOY4TQQAAwH8cx5FAOY4TQQAAwH9VVZVAOY4TQQAAwH+O45hAOY4TQQAA\\nwH/HcZxAOY4TQQAAwH8AAKBAOY4TQQAAwH85jqNAOY4TQQAAwH9yHKdAOY4TQQAAwH+rqqpA\\nOY4TQQAAwH/kOK5AOY4TQQAAwH8cx7FAOY4TQQAAwH9VVbVAOY4TQQAAwH+O47hAOY4TQQAA\\nwH/HcbxAOY4TQQAAwH8AAMBAOY4TQQAAwH85jsNAOY4TQQAAwH9yHMdAOY4TQQAAwH+rqspA\\nOY4TQQAAwH/kOM5AOY4TQQAAwH8cx9FAOY4TQQAAwH9VVdVAOY4TQQAAwH+O49hAOY4TQQAA\\nwH/HcdxAOY4TQQAAwH8AAOBAOY4TQQAAwH85juNAOY4TQQAAwH9yHOdAOY4TQQAAwH+rqupA\\nOY4TQQAAwH/kOO5AOY4TQQAAwH8cx/FAOY4TQQAAwH9VVfVAOY4TQQAAwH+O4/hAOY4TQQAA\\nwH/HcfxAOY4TQQAAwH8AAABBOY4TQQAAwH8cxwFBOY4TQQAAwH85jgNBOY4TQQAAwH9VVQVB\\nOY4TQQAAwH9yHAdBOY4TQQAAwH+O4whBOY4TQQAAwH+rqgpBOY4TQQAAwH/HcQxBOY4TQQAA\\nwH/kOA5BOY4TQQAAwH8AABBBOY4TQQAAwH8cxxFBOY4TQQAAwH85jhNBOY4TQQAAwH9VVRVB\\nOY4TQQAAwH9yHBdBOY4TQQAAwH+O4xhBOY4TQQAAwH+rqhpBOY4TQQAAwH/HcRxBOY4TQQAA\\nwH/kOB5BOY4TQQAAwH8AACBBOY4TQQAAwH8AAIC/VVUVQQAAwH85jmO/VVUVQQAAwH9yHEe/\\nVVUVQQAAwH+rqiq/VVUVQQAAwH/kOA6/VVUVQQAAwH85juO+VVUVQQAAwH+rqqq+VVUVQQAA\\nwH85jmO+VVUVQQAAwH85juO9VVUVQQAAwH8AAAAAVVUVQQAAwH85juM9VVUVQQAAwH85jmM+\\nVVUVQQAAwH+rqqo+VVUVQQAAwH85juM+VVUVQQAAwH/kOA4/VVUVQQAAwH+rqio/VVUVQQAA\\nwH9yHEc/VVUVQQAAwH85jmM/VVUVQQAAwH8AAIA/VVUVQQAAwH/kOI4/VVUVQQAAwH/HcZw/\\nVVUVQQAAwH+rqqo/VVUVQQAAwH+O47g/VVUVQQAAwH9yHMc/VVUVQQAAwH9VVdU/VVUVQQAA\\nwH85juM/VVUVQQAAwH8cx/E/VVUVQQAAwH8AAABAVVUVQQAAwH9yHAdAVVUVQQAAwH/kOA5A\\nVVUVQQAAwH9VVRVAVVUVQQAAwH/HcRxAVVUVQQAAwH85jiNAVVUVQQAAwH+rqipAVVUVQQAA\\nwH8cxzFAVVUVQQAAwH+O4zhAVVUVQQAAwH8AAEBAVVUVQQAAwH9yHEdAVVUVQQAAwH/kOE5A\\nVVUVQQAAwH9VVVVAVVUVQQAAwH/HcVxAVVUVQQAAwH85jmNAVVUVQQAAwH+rqmpAVVUVQQAA\\nwH8cx3FAVVUVQQAAwH+O43hAVVUVQQAAwH8AAIBAVVUVQQAAwH85joNAVVUVQQAAwH9yHIdA\\nVVUVQQAAwH+rqopAVVUVQQAAwH/kOI5AVVUVQQAAwH8cx5FAVVUVQQAAwH9VVZVAVVUVQQAA\\nwH+O45hAVVUVQQAAwH/HcZxAVVUVQQAAwH8AAKBAVVUVQQAAwH85jqNAVVUVQQAAwH9yHKdA\\nVVUVQQAAwH+rqqpAVVUVQQAAwH/kOK5AVVUVQQAAwH8cx7FAVVUVQQAAwH9VVbVAVVUVQQAA\\nwH+O47hAVVUVQQAAwH/HcbxAVVUVQQAAwH8AAMBAVVUVQQAAwH85jsNAVVUVQQAAwH9yHMdA\\nVVUVQQAAwH+rqspAVVUVQQAAwH/kOM5AVVUVQQAAwH8cx9FAVVUVQQAAwH9VVdVAVVUVQQAA\\nwH+O49hAVVUVQQAAwH/HcdxAVVUVQQAAwH8AAOBAVVUVQQAAwH85juNAVVUVQQAAwH9yHOdA\\nVVUVQQAAwH+rqupAVVUVQQAAwH/kOO5AVVUVQQAAwH8cx/FAVVUVQQAAwH9VVfVAVVUVQQAA\\nwH+O4/hAVVUVQQAAwH/HcfxAVVUVQQAAwH8AAABBVVUVQQAAwH8cxwFBVVUVQQAAwH85jgNB\\nVVUVQQAAwH9VVQVBVVUVQQAAwH9yHAdBVVUVQQAAwH+O4whBVVUVQQAAwH+rqgpBVVUVQQAA\\nwH/HcQxBVVUVQQAAwH/kOA5BVVUVQQAAwH8AABBBVVUVQQAAwH8cxxFBVVUVQQAAwH85jhNB\\nVVUVQQAAwH9VVRVBVVUVQQAAwH9yHBdBVVUVQQAAwH+O4xhBVVUVQQAAwH+rqhpBVVUVQQAA\\nwH/HcRxBVVUVQQAAwH/kOB5BVVUVQQAAwH8AACBBVVUVQQAAwH8AAIC/chwXQQAAwH85jmO/\\nchwXQQAAwH9yHEe/chwXQQAAwH+rqiq/chwXQQAAwH/kOA6/chwXQQAAwH85juO+chwXQQAA\\nwH+rqqq+chwXQQAAwH85jmO+chwXQQAAwH85juO9chwXQQAAwH8AAAAAchwXQQAAwH85juM9\\nchwXQQAAwH85jmM+chwXQQAAwH+rqqo+chwXQQAAwH85juM+chwXQQAAwH/kOA4/chwXQQAA\\nwH+rqio/chwXQQAAwH9yHEc/chwXQQAAwH85jmM/chwXQQAAwH8AAIA/chwXQQAAwH/kOI4/\\nchwXQQAAwH/HcZw/chwXQQAAwH+rqqo/chwXQQAAwH+O47g/chwXQQAAwH9yHMc/chwXQQAA\\nwH9VVdU/chwXQQAAwH85juM/chwXQQAAwH8cx/E/chwXQQAAwH8AAABAchwXQQAAwH9yHAdA\\nchwXQQAAwH/kOA5AchwXQQAAwH9VVRVAchwXQQAAwH/HcRxAchwXQQAAwH85jiNAchwXQQAA\\nwH+rqipAchwXQQAAwH8cxzFAchwXQQAAwH+O4zhAchwXQQAAwH8AAEBAchwXQQAAwH9yHEdA\\nchwXQQAAwH/kOE5AchwXQQAAwH9VVVVAchwXQQAAwH/HcVxAchwXQQAAwH85jmNAchwXQQAA\\nwH+rqmpAchwXQQAAwH8cx3FAchwXQQAAwH+O43hAchwXQQAAwH8AAIBAchwXQQAAwH85joNA\\nchwXQQAAwH9yHIdAchwXQQAAwH+rqopAchwXQQAAwH/kOI5AchwXQQAAwH8cx5FAchwXQQAA\\nwH9VVZVAchwXQQAAwH+O45hAchwXQQAAwH/HcZxAchwXQQAAwH8AAKBAchwXQQAAwH85jqNA\\nchwXQQAAwH9yHKdAchwXQQAAwH+rqqpAchwXQQAAwH/kOK5AchwXQQAAwH8cx7FAchwXQQAA\\nwH9VVbVAchwXQQAAwH+O47hAchwXQQAAwH/HcbxAchwXQQAAwH8AAMBAchwXQQAAwH85jsNA\\nchwXQQAAwH9yHMdAchwXQQAAwH+rqspAchwXQQAAwH/kOM5AchwXQQAAwH8cx9FAchwXQQAA\\nwH9VVdVAchwXQQAAwH+O49hAchwXQQAAwH/HcdxAchwXQQAAwH8AAOBAchwXQQAAwH85juNA\\nchwXQQAAwH9yHOdAchwXQQAAwH+rqupAchwXQQAAwH/kOO5AchwXQQAAwH8cx/FAchwXQQAA\\nwH9VVfVAchwXQQAAwH+O4/hAchwXQQAAwH/HcfxAchwXQQAAwH8AAABBchwXQQAAwH8cxwFB\\nchwXQQAAwH85jgNBchwXQQAAwH9VVQVBchwXQQAAwH9yHAdBchwXQQAAwH+O4whBchwXQQAA\\nwH+rqgpBchwXQQAAwH/HcQxBchwXQQAAwH/kOA5BchwXQQAAwH8AABBBchwXQQAAwH8cxxFB\\nchwXQQAAwH85jhNBchwXQQAAwH9VVRVBchwXQQAAwH9yHBdBchwXQQAAwH+O4xhBchwXQQAA\\nwH+rqhpBchwXQQAAwH/HcRxBchwXQQAAwH/kOB5BchwXQQAAwH8AACBBchwXQQAAwH8AAIC/\\njuMYQQAAwH85jmO/juMYQQAAwH9yHEe/juMYQQAAwH+rqiq/juMYQQAAwH/kOA6/juMYQQAA\\nwH85juO+juMYQQAAwH+rqqq+juMYQQAAwH85jmO+juMYQQAAwH85juO9juMYQQAAwH8AAAAA\\njuMYQQAAwH85juM9juMYQQAAwH85jmM+juMYQQAAwH+rqqo+juMYQQAAwH85juM+juMYQQAA\\nwH/kOA4/juMYQQAAwH+rqio/juMYQQAAwH9yHEc/juMYQQAAwH85jmM/juMYQQAAwH8AAIA/\\njuMYQQAAwH/kOI4/juMYQQAAwH/HcZw/juMYQQAAwH+rqqo/juMYQQAAwH+O47g/juMYQQAA\\nwH9yHMc/juMYQQAAwH9VVdU/juMYQQAAwH85juM/juMYQQAAwH8cx/E/juMYQQAAwH8AAABA\\njuMYQQAAwH9yHAdAjuMYQQAAwH/kOA5AjuMYQQAAwH9VVRVAjuMYQQAAwH/HcRxAjuMYQQAA\\nwH85jiNAjuMYQQAAwH+rqipAjuMYQQAAwH8cxzFAjuMYQQAAwH+O4zhAjuMYQQAAwH8AAEBA\\njuMYQQAAwH9yHEdAjuMYQQAAwH/kOE5AjuMYQQAAwH9VVVVAjuMYQQAAwH/HcVxAjuMYQQAA\\nwH85jmNAjuMYQQAAwH+rqmpAjuMYQQAAwH8cx3FAjuMYQQAAwH+O43hAjuMYQQAAwH8AAIBA\\njuMYQQAAwH85joNAjuMYQQAAwH9yHIdAjuMYQQAAwH+rqopAjuMYQQAAwH/kOI5AjuMYQQAA\\nwH8cx5FAjuMYQQAAwH9VVZVAjuMYQQAAwH+O45hAjuMYQQAAwH/HcZxAjuMYQQAAwH8AAKBA\\njuMYQQAAwH85jqNAjuMYQQAAwH9yHKdAjuMYQQAAwH+rqqpAjuMYQQAAwH/kOK5AjuMYQQAA\\nwH8cx7FAjuMYQQAAwH9VVbVAjuMYQQAAwH+O47hAjuMYQQAAwH/HcbxAjuMYQQAAwH8AAMBA\\njuMYQQAAwH85jsNAjuMYQQAAwH9yHMdAjuMYQQAAwH+rqspAjuMYQQAAwH/kOM5AjuMYQQAA\\nwH8cx9FAjuMYQQAAwH9VVdVAjuMYQQAAwH+O49hAjuMYQQAAwH/HcdxAjuMYQQAAwH8AAOBA\\njuMYQQAAwH85juNAjuMYQQAAwH9yHOdAjuMYQQAAwH+rqupAjuMYQQAAwH/kOO5AjuMYQQAA\\nwH8cx/FAjuMYQQAAwH9VVfVAjuMYQQAAwH+O4/hAjuMYQQAAwH/HcfxAjuMYQQAAwH8AAABB\\njuMYQQAAwH8cxwFBjuMYQQAAwH85jgNBjuMYQQAAwH9VVQVBjuMYQQAAwH9yHAdBjuMYQQAA\\nwH+O4whBjuMYQQAAwH+rqgpBjuMYQQAAwH/HcQxBjuMYQQAAwH/kOA5BjuMYQQAAwH8AABBB\\njuMYQQAAwH8cxxFBjuMYQQAAwH85jhNBjuMYQQAAwH9VVRVBjuMYQQAAwH9yHBdBjuMYQQAA\\nwH+O4xhBjuMYQQAAwH+rqhpBjuMYQQAAwH/HcRxBjuMYQQAAwH/kOB5BjuMYQQAAwH8AACBB\\njuMYQQAAwH8AAIC/q6oaQQAAwH85jmO/q6oaQQAAwH9yHEe/q6oaQQAAwH+rqiq/q6oaQQAA\\nwH/kOA6/q6oaQQAAwH85juO+q6oaQQAAwH+rqqq+q6oaQQAAwH85jmO+q6oaQQAAwH85juO9\\nq6oaQQAAwH8AAAAAq6oaQQAAwH85juM9q6oaQQAAwH85jmM+q6oaQQAAwH+rqqo+q6oaQQAA\\nwH85juM+q6oaQQAAwH/kOA4/q6oaQQAAwH+rqio/q6oaQQAAwH9yHEc/q6oaQQAAwH85jmM/\\nq6oaQQAAwH8AAIA/q6oaQQAAwH/kOI4/q6oaQQAAwH/HcZw/q6oaQQAAwH+rqqo/q6oaQQAA\\nwH+O47g/q6oaQQAAwH9yHMc/q6oaQQAAwH9VVdU/q6oaQQAAwH85juM/q6oaQQAAwH8cx/E/\\nq6oaQQAAwH8AAABAq6oaQQAAwH9yHAdAq6oaQQAAwH/kOA5Aq6oaQQAAwH9VVRVAq6oaQQAA\\nwH/HcRxAq6oaQQAAwH85jiNAq6oaQQAAwH+rqipAq6oaQQAAwH8cxzFAq6oaQQAAwH+O4zhA\\nq6oaQQAAwH8AAEBAq6oaQQAAwH9yHEdAq6oaQQAAwH/kOE5Aq6oaQQAAwH9VVVVAq6oaQQAA\\nwH/HcVxAq6oaQQAAwH85jmNAq6oaQQAAwH+rqmpAq6oaQQAAwH8cx3FAq6oaQQAAwH+O43hA\\nq6oaQQAAwH8AAIBAq6oaQQAAwH85joNAq6oaQQAAwH9yHIdAq6oaQQAAwH+rqopAq6oaQQAA\\nwH/kOI5Aq6oaQQAAwH8cx5FAq6oaQQAAwH9VVZVAq6oaQQAAwH+O45hAq6oaQQAAwH/HcZxA\\nq6oaQQAAwH8AAKBAq6oaQQAAwH85jqNAq6oaQQAAwH9yHKdAq6oaQQAAwH+rqqpAq6oaQQAA\\nwH/kOK5Aq6oaQQAAwH8cx7FAq6oaQQAAwH9VVbVAq6oaQQAAwH+O47hAq6oaQQAAwH/HcbxA\\nq6oaQQAAwH8AAMBAq6oaQQAAwH85jsNAq6oaQQAAwH9yHMdAq6oaQQAAwH+rqspAq6oaQQAA\\nwH/kOM5Aq6oaQQAAwH8cx9FAq6oaQQAAwH9VVdVAq6oaQQAAwH+O49hAq6oaQQAAwH/HcdxA\\nq6oaQQAAwH8AAOBAq6oaQQAAwH85juNAq6oaQQAAwH9yHOdAq6oaQQAAwH+rqupAq6oaQQAA\\nwH/kOO5Aq6oaQQAAwH8cx/FAq6oaQQAAwH9VVfVAq6oaQQAAwH+O4/hAq6oaQQAAwH/HcfxA\\nq6oaQQAAwH8AAABBq6oaQQAAwH8cxwFBq6oaQQAAwH85jgNBq6oaQQAAwH9VVQVBq6oaQQAA\\nwH9yHAdBq6oaQQAAwH+O4whBq6oaQQAAwH+rqgpBq6oaQQAAwH/HcQxBq6oaQQAAwH/kOA5B\\nq6oaQQAAwH8AABBBq6oaQQAAwH8cxxFBq6oaQQAAwH85jhNBq6oaQQAAwH9VVRVBq6oaQQAA\\nwH9yHBdBq6oaQQAAwH+O4xhBq6oaQQAAwH+rqhpBq6oaQQAAwH/HcRxBq6oaQQAAwH/kOB5B\\nq6oaQQAAwH8AACBBq6oaQQAAwH8AAIC/x3EcQQAAwH85jmO/x3EcQQAAwH9yHEe/x3EcQQAA\\nwH+rqiq/x3EcQQAAwH/kOA6/x3EcQQAAwH85juO+x3EcQQAAwH+rqqq+x3EcQQAAwH85jmO+\\nx3EcQQAAwH85juO9x3EcQQAAwH8AAAAAx3EcQQAAwH85juM9x3EcQQAAwH85jmM+x3EcQQAA\\nwH+rqqo+x3EcQQAAwH85juM+x3EcQQAAwH/kOA4/x3EcQQAAwH+rqio/x3EcQQAAwH9yHEc/\\nx3EcQQAAwH85jmM/x3EcQQAAwH8AAIA/x3EcQQAAwH/kOI4/x3EcQQAAwH/HcZw/x3EcQQAA\\nwH+rqqo/x3EcQQAAwH+O47g/x3EcQQAAwH9yHMc/x3EcQQAAwH9VVdU/x3EcQQAAwH85juM/\\nx3EcQQAAwH8cx/E/x3EcQQAAwH8AAABAx3EcQQAAwH9yHAdAx3EcQQAAwH/kOA5Ax3EcQQAA\\nwH9VVRVAx3EcQQAAwH/HcRxAx3EcQQAAwH85jiNAx3EcQQAAwH+rqipAx3EcQQAAwH8cxzFA\\nx3EcQQAAwH+O4zhAx3EcQQAAwH8AAEBAx3EcQQAAwH9yHEdAx3EcQQAAwH/kOE5Ax3EcQQAA\\nwH9VVVVAx3EcQQAAwH/HcVxAx3EcQQAAwH85jmNAx3EcQQAAwH+rqmpAx3EcQQAAwH8cx3FA\\nx3EcQQAAwH+O43hAx3EcQQAAwH8AAIBAx3EcQQAAwH85joNAx3EcQQAAwH9yHIdAx3EcQQAA\\nwH+rqopAx3EcQQAAwH/kOI5Ax3EcQQAAwH8cx5FAx3EcQQAAwH9VVZVAx3EcQQAAwH+O45hA\\nx3EcQQAAwH/HcZxAx3EcQQAAwH8AAKBAx3EcQQAAwH85jqNAx3EcQQAAwH9yHKdAx3EcQQAA\\nwH+rqqpAx3EcQQAAwH/kOK5Ax3EcQQAAwH8cx7FAx3EcQQAAwH9VVbVAx3EcQQAAwH+O47hA\\nx3EcQQAAwH/HcbxAx3EcQQAAwH8AAMBAx3EcQQAAwH85jsNAx3EcQQAAwH9yHMdAx3EcQQAA\\nwH+rqspAx3EcQQAAwH/kOM5Ax3EcQQAAwH8cx9FAx3EcQQAAwH9VVdVAx3EcQQAAwH+O49hA\\nx3EcQQAAwH/HcdxAx3EcQQAAwH8AAOBAx3EcQQAAwH85juNAx3EcQQAAwH9yHOdAx3EcQQAA\\nwH+rqupAx3EcQQAAwH/kOO5Ax3EcQQAAwH8cx/FAx3EcQQAAwH9VVfVAx3EcQQAAwH+O4/hA\\nx3EcQQAAwH/HcfxAx3EcQQAAwH8AAABBx3EcQQAAwH8cxwFBx3EcQQAAwH85jgNBx3EcQQAA\\nwH9VVQVBx3EcQQAAwH9yHAdBx3EcQQAAwH+O4whBx3EcQQAAwH+rqgpBx3EcQQAAwH/HcQxB\\nx3EcQQAAwH/kOA5Bx3EcQQAAwH8AABBBx3EcQQAAwH8cxxFBx3EcQQAAwH85jhNBx3EcQQAA\\nwH9VVRVBx3EcQQAAwH9yHBdBx3EcQQAAwH+O4xhBx3EcQQAAwH+rqhpBx3EcQQAAwH/HcRxB\\nx3EcQQAAwH/kOB5Bx3EcQQAAwH8AACBBx3EcQQAAwH8AAIC/5DgeQQAAwH85jmO/5DgeQQAA\\nwH9yHEe/5DgeQQAAwH+rqiq/5DgeQQAAwH/kOA6/5DgeQQAAwH85juO+5DgeQQAAwH+rqqq+\\n5DgeQQAAwH85jmO+5DgeQQAAwH85juO95DgeQQAAwH8AAAAA5DgeQQAAwH85juM95DgeQQAA\\nwH85jmM+5DgeQQAAwH+rqqo+5DgeQQAAwH85juM+5DgeQQAAwH/kOA4/5DgeQQAAwH+rqio/\\n5DgeQQAAwH9yHEc/5DgeQQAAwH85jmM/5DgeQQAAwH8AAIA/5DgeQQAAwH/kOI4/5DgeQQAA\\nwH/HcZw/5DgeQQAAwH+rqqo/5DgeQQAAwH+O47g/5DgeQQAAwH9yHMc/5DgeQQAAwH9VVdU/\\n5DgeQQAAwH85juM/5DgeQQAAwH8cx/E/5DgeQQAAwH8AAABA5DgeQQAAwH9yHAdA5DgeQQAA\\nwH/kOA5A5DgeQQAAwH9VVRVA5DgeQQAAwH/HcRxA5DgeQQAAwH85jiNA5DgeQQAAwH+rqipA\\n5DgeQQAAwH8cxzFA5DgeQQAAwH+O4zhA5DgeQQAAwH8AAEBA5DgeQQAAwH9yHEdA5DgeQQAA\\nwH/kOE5A5DgeQQAAwH9VVVVA5DgeQQAAwH/HcVxA5DgeQQAAwH85jmNA5DgeQQAAwH+rqmpA\\n5DgeQQAAwH8cx3FA5DgeQQAAwH+O43hA5DgeQQAAwH8AAIBA5DgeQQAAwH85joNA5DgeQQAA\\nwH9yHIdA5DgeQQAAwH+rqopA5DgeQQAAwH/kOI5A5DgeQQAAwH8cx5FA5DgeQQAAwH9VVZVA\\n5DgeQQAAwH+O45hA5DgeQQAAwH/HcZxA5DgeQQAAwH8AAKBA5DgeQQAAwH85jqNA5DgeQQAA\\nwH9yHKdA5DgeQQAAwH+rqqpA5DgeQQAAwH/kOK5A5DgeQQAAwH8cx7FA5DgeQQAAwH9VVbVA\\n5DgeQQAAwH+O47hA5DgeQQAAwH/HcbxA5DgeQQAAwH8AAMBA5DgeQQAAwH85jsNA5DgeQQAA\\nwH9yHMdA5DgeQQAAwH+rqspA5DgeQQAAwH/kOM5A5DgeQQAAwH8cx9FA5DgeQQAAwH9VVdVA\\n5DgeQQAAwH+O49hA5DgeQQAAwH/HcdxA5DgeQQAAwH8AAOBA5DgeQQAAwH85juNA5DgeQQAA\\nwH9yHOdA5DgeQQAAwH+rqupA5DgeQQAAwH/kOO5A5DgeQQAAwH8cx/FA5DgeQQAAwH9VVfVA\\n5DgeQQAAwH+O4/hA5DgeQQAAwH/HcfxA5DgeQQAAwH8AAABB5DgeQQAAwH8cxwFB5DgeQQAA\\nwH85jgNB5DgeQQAAwH9VVQVB5DgeQQAAwH9yHAdB5DgeQQAAwH+O4whB5DgeQQAAwH+rqgpB\\n5DgeQQAAwH/HcQxB5DgeQQAAwH/kOA5B5DgeQQAAwH8AABBB5DgeQQAAwH8cxxFB5DgeQQAA\\nwH85jhNB5DgeQQAAwH9VVRVB5DgeQQAAwH9yHBdB5DgeQQAAwH+O4xhB5DgeQQAAwH+rqhpB\\n5DgeQQAAwH/HcRxB5DgeQQAAwH/kOB5B5DgeQQAAwH8AACBB5DgeQQAAwH8AAIC/AAAgQQAA\\nwH85jmO/AAAgQQAAwH9yHEe/AAAgQQAAwH+rqiq/AAAgQQAAwH/kOA6/AAAgQQAAwH85juO+\\nAAAgQQAAwH+rqqq+AAAgQQAAwH85jmO+AAAgQQAAwH85juO9AAAgQQAAwH8AAAAAAAAgQQAA\\nwH85juM9AAAgQQAAwH85jmM+AAAgQQAAwH+rqqo+AAAgQQAAwH85juM+AAAgQQAAwH/kOA4/\\nAAAgQQAAwH+rqio/AAAgQQAAwH9yHEc/AAAgQQAAwH85jmM/AAAgQQAAwH8AAIA/AAAgQQAA\\nwH/kOI4/AAAgQQAAwH/HcZw/AAAgQQAAwH+rqqo/AAAgQQAAwH+O47g/AAAgQQAAwH9yHMc/\\nAAAgQQAAwH9VVdU/AAAgQQAAwH85juM/AAAgQQAAwH8cx/E/AAAgQQAAwH8AAABAAAAgQQAA\\nwH9yHAdAAAAgQQAAwH/kOA5AAAAgQQAAwH9VVRVAAAAgQQAAwH/HcRxAAAAgQQAAwH85jiNA\\nAAAgQQAAwH+rqipAAAAgQQAAwH8cxzFAAAAgQQAAwH+O4zhAAAAgQQAAwH8AAEBAAAAgQQAA\\nwH9yHEdAAAAgQQAAwH/kOE5AAAAgQQAAwH9VVVVAAAAgQQAAwH/HcVxAAAAgQQAAwH85jmNA\\nAAAgQQAAwH+rqmpAAAAgQQAAwH8cx3FAAAAgQQAAwH+O43hAAAAgQQAAwH8AAIBAAAAgQQAA\\nwH85joNAAAAgQQAAwH9yHIdAAAAgQQAAwH+rqopAAAAgQQAAwH/kOI5AAAAgQQAAwH8cx5FA\\nAAAgQQAAwH9VVZVAAAAgQQAAwH+O45hAAAAgQQAAwH/HcZxAAAAgQQAAwH8AAKBAAAAgQQAA\\nwH85jqNAAAAgQQAAwH9yHKdAAAAgQQAAwH+rqqpAAAAgQQAAwH/kOK5AAAAgQQAAwH8cx7FA\\nAAAgQQAAwH9VVbVAAAAgQQAAwH+O47hAAAAgQQAAwH/HcbxAAAAgQQAAwH8AAMBAAAAgQQAA\\nwH85jsNAAAAgQQAAwH9yHMdAAAAgQQAAwH+rqspAAAAgQQAAwH/kOM5AAAAgQQAAwH8cx9FA\\nAAAgQQAAwH9VVdVAAAAgQQAAwH+O49hAAAAgQQAAwH/HcdxAAAAgQQAAwH8AAOBAAAAgQQAA\\nwH85juNAAAAgQQAAwH9yHOdAAAAgQQAAwH+rqupAAAAgQQAAwH/kOO5AAAAgQQAAwH8cx/FA\\nAAAgQQAAwH9VVfVAAAAgQQAAwH+O4/hAAAAgQQAAwH/HcfxAAAAgQQAAwH8AAABBAAAgQQAA\\nwH8cxwFBAAAgQQAAwH85jgNBAAAgQQAAwH9VVQVBAAAgQQAAwH9yHAdBAAAgQQAAwH+O4whB\\nAAAgQQAAwH+rqgpBAAAgQQAAwH/HcQxBAAAgQQAAwH/kOA5BAAAgQQAAwH8AABBBAAAgQQAA\\nwH8cxxFBAAAgQQAAwH85jhNBAAAgQQAAwH9VVRVBAAAgQQAAwH9yHBdBAAAgQQAAwH+O4xhB\\nAAAgQQAAwH+rqhpBAAAgQQAAwH/HcRxBAAAgQQAAwH/kOB5BAAAgQQAAwH8AACBBAAAgQQAA\\nwH8AAACAAAAAgAAAAIAAAACAAAAAgAAAAIAAAACAAAAAgAAAAIAAAACAAAAAgAAAAIAAAACA\\nAAAAgAAAAIAAAACAAAAAgAAAAIAAAACAAAAAgAAAAIAAAACAAAAAgAAAAIAAAACAAAAAgAAA\\nAIDcBdE+8AVRP+gF0T7uBdE+7gVRP+cF0T7tBdE+7gVRP+cF0T7rBdE+7QVRP+UF0T7sBdE+\\n7gVRP+cF0T7rBdE+7gVRP+YF0T7sBdE+7QVRP+UF0T7eBdE+7QVRP/UF0T4ABtE+5AVRP/kF\\n0T7eBdE+7wVRP/YF0T7vBdE+7gVRP+gF0T7uBdE+7QVRP+UF0T7vBdE+7gVRP+gF0T7uBdE+\\n7QVRP+UF0T7vBdE+7gVRP+gF0T7uBdE+7QVRP+UF0T7mBdE+7QVRP+0F0T72BdE+6AVRP+4F\\n0T7eBdE+7gVRP+wF0T7lBdE+7gVRP+QF0T7sBdE+7QVRP+sF0T71BdE+5wVRP/QF0T7qBdE+\\n6gVRP/gF0T7eBdE+7gVRP+wF0T7zBdE+7AVRP+QF0T7zBdE+7AVRP+QF0T7lBdE+7gVRP+QF\\n0T7lBdE+7gVRP+QF0T7lBdE+7gVRP+QF0T7sBdE+7QVRP+sF0T71BdE+5wVRP/QF0T7qBdE+\\n6gVRP/gF0T7eBdE+7gVRP+wF0T7zBdE+7AVRP+QF0T7zBdE+7AVRP+QF0T7lBdE+7gVRP+QF\\n0T7lBdE+7gVRP+QF0T7lBdE+7gVRP+QF0T7gBdE+7wVRP+4F0T7pBdE+6gVRP/gF0T4EBtE+\\n5gVRP/QF0T74BdE+6gVRP+oF0T7lBdE+7gVRP+QF0T7lBdE+7gVRP+QF0T7lBdE+7gVRP+QF\\n0T7lBdE+7gVRP+QF0T7lBdE+7gVRP+QF0T7gBdE+7wVRP+4F0T7pBdE+6gVRP/gF0T4EBtE+\\n5gVRP/QF0T74BdE+6gVRP+oF0T7lBdE+7gVRP+QF0T7lBdE+7gVRP+QF0T7lBdE+7gVRP+QF\\n0T7kBdE+7wVRP+oF0T7oBdE+7AVRP+8F0T7pBdE+7AVRP/AF0T7iBdE+7gVRP+gF0T78BdE+\\n6gVRP+YF0T4CBtE+6AVRP+wF0T7pBdE+7AVRP/AF0T7iBdE+7gVRP+gF0T7lBdE+7gVRP+QF\\n0T7kBdE+7wVRP+oF0T7oBdE+7AVRP+8F0T7pBdE+7AVRP/AF0T7iBdE+7gVRP+gF0T78BdE+\\n6gVRP+YF0T4CBtE+6AVRP+wF0T7pBdE+7AVRP/AF0T7iBdE+7gVRP+gF0T7mBdE+7gVRP+gF\\n0T4ABtE+6AVRP+YF0T7mBdE+7QVRP+0F0T7oBdE+7gVRP+4F0T7mBdE+7QVRP+0F0T7oBdE+\\n7gVRP+4F0T7mBdE+7QVRP+0F0T7oBdE+7gVRP+4F0T7oBdE+7gVRP+0F0T7kBdE+7gVRP+wF\\n0T4YBtE+4wVRP+MF0T7oBdE+7gVRP+4F0T7mBdE+7QVRP+wF0T7nBdE+7gVRP+0F0T7nBdE+\\n7gVRP+wF0T7oBdE+7gVRP+0F0T7mBdE+7QVRP+wF0T7oBdE+7gVRP+0F0T7mBdE+7QVRP+0F\\n0T4XBtE+4wVRP+MF0T4AAACAAAAAgAAAAIAAAACAAAAAgAAAAIAAAACAAAAAgAAAAIAAAACA\\nAAAAgAAAAIAAAACAAAAAgAAAAIAAAACAAAAAgAAAAIAAAACAAAAAgA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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# pop3d(id = ids) # remove last plane # }"},{"path":"http://relund.github.io/gMOIP/reference/plotPoints3D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot points in 3D. — plotPoints3D","title":"Plot points in 3D. — plotPoints3D","text":"Plot points 3D.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPoints3D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot points in 3D. — plotPoints3D","text":"","code":"plotPoints3D(pts, addText = FALSE, ...)"},{"path":"http://relund.github.io/gMOIP/reference/plotPoints3D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot points in 3D. — plotPoints3D","text":"pts vector matrix points. addText Add text points. Currently coord (coordinates), rownames (rownames) supported vector text. ... arguments passed RGL plotting functions. must done lists (see examples). Currently following arguments supported: argsPlot3d: list arguments rgl::plot3d. argsPch3d: list arguments rgl::pch3d. argsText3d: list arguments rgl::text3d.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPoints3D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot points in 3D. — plotPoints3D","text":"Object ids (invisible).","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPoints3D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Plot points in 3D. — plotPoints3D","text":"3D plot 3D plot","code":"# \\donttest{ ini3D() pts<-matrix(c(1,1,1,5,5,5), ncol = 3, byrow = TRUE) plotPoints3D(pts) plotPoints3D(c(2,3,3), argsPlot3d = list(col = \"red\", size = 10)) plotPoints3D(c(3,2,3), argsPlot3d = list(col = \"blue\", size = 10, type=\"p\")) plotPoints3D(c(1.5,1.5,1.5), argsPlot3d = list(col = \"blue\", size = 10, type=\"p\")) plotPoints3D(c(2,2,2, 1,1,1), addText = \"coord\") ids <- plotPoints3D(c(3,3,3, 4,4,4), addText = \"rownames\") finalize3D() 3D plot  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(point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef 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HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    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float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# pop3d(ids) # remove the last again # }"},{"path":"http://relund.github.io/gMOIP/reference/plotPolygon3D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot a polygon. — plotPolygon3D","title":"Plot a polygon. — plotPolygon3D","text":"Plot polygon.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolygon3D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot a polygon. — plotPolygon3D","text":"","code":"plotPolygon3D(   pts,   useShade = TRUE,   useLines = FALSE,   usePoints = FALSE,   useFrame = TRUE,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/plotPolygon3D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot a polygon. — plotPolygon3D","text":"pts Vertices. useShade Plot shade polygon. useLines Plot lines inside polygon. usePoints Plot point shapes inside polygon. useFrame Plot frame around polygon. ... arguments passed RGL plotting functions. must done lists (see examples). Currently following arguments supported: argsShade: list arguments rgl::polygon3d (n > 4 vertices), rgl::triangles3d() (n = 3 vertices) rgl::quads3d() (n = 4 vertices) useShade = TRUE. argsFrame: list arguments rgl::lines3d useFrame = TRUE. argsPoints: list arguments rgl::shade3d usePoints = TRUE. important give texture using texture. texture can set using getTexture(). argsLines: list arguments rgl::persp3d() useLines = TRUE. Moreover, list may contain lines: number lines.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolygon3D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot a polygon. — plotPolygon3D","text":"Object ids (invisible).","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolygon3D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Plot a polygon. — plotPolygon3D","text":"3D plot 3D plot 3D plot 3D plot 3D plot","code":"# \\donttest{ pts <- data.frame(x = c(1,0,0,0.4), y = c(0,1,0,0.3), z = c(0,0,1,0.3)) pts <- data.frame(x = c(1,0,0), y = c(0,1,0), z = c(0,0,1))  ini3D() plotPolygon3D(pts) finalize3D() 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D() plotPolygon3D(pts, argsShade = list(color = \"red\", alpha = 1)) finalize3D() 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D() plotPolygon3D(pts, useFrame = TRUE, argsShade = list(color = \"red\", alpha = 0.5),               argsFrame = list(color = \"green\")) finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D() plotPolygon3D(pts, useFrame = TRUE, useLines = TRUE, useShade = TRUE,               argsShade = list(color = \"red\", alpha = 0.2),               argsLines = list(color = \"blue\")) finalize3D() 3D plot  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AkCWn4GU/iMb6PQAAwH8fGms/iMb6PQAA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\\nwH8vp2A/iMZ6Pw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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} ini3D() ids <- plotPolygon3D(pts, usePoints = TRUE, useFrame = TRUE,               argsPoints = list(texture = getTexture(pch = 16, cex = 20))) finalize3D() 3D plot  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float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# pop3d(id = ids) # remove object again  # In general you have to finetune size and numbers when you use textures # Different pch for (i in 0:3) {   fname <- getTexture(pch = 15+i, cex = 30)   ini3D(TRUE)   plotPolygon3D(pts, usePoints = TRUE, argsPoints = list(texture = fname))   finalize3D() }  # Size of pch for (i in 1:4) {   fname <- getTexture(pch = 15+i, cex = 10 * i)   ini3D(TRUE)   plotPolygon3D(pts, usePoints = TRUE, argsPoints = list(texture = fname))   finalize3D() }  # Number of pch fname <- getTexture(pch = 16, cex = 20) for (i in 1:4) {   ini3D(TRUE)   plotPolygon3D(pts, usePoints = TRUE,                 argsPoints = list(texture = fname, texcoords = rbind(pts$x, pts$y, pts$z)*5*i))   finalize3D() } # }"},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot the polytope (bounded convex set) of a linear mathematical program (Ax <= b) — plotPolytope","title":"Plot the polytope (bounded convex set) of a linear mathematical program (Ax <= b) — plotPolytope","text":"wrapper function calling plotPolytope2D() (2D graphics) plotPolytope3D() (3D graphics).","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot the polytope (bounded convex set) of a linear mathematical program (Ax <= b) — plotPolytope","text":"","code":"plotPolytope(   A,   b,   obj = NULL,   type = rep(\"c\", ncol(A)),   nonneg = rep(TRUE, ncol(A)),   crit = \"max\",   faces = type,   plotFaces = TRUE,   plotFeasible = TRUE,   plotOptimum = FALSE,   latex = FALSE,   labels = NULL,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot the polytope (bounded convex set) of a linear mathematical program (Ax <= b) — plotPolytope","text":"constraint matrix. b Right hand side. obj vector objective coefficients. type character vector length number variables. entry k '' variable \\(k\\) must integer 'c' continuous. nonneg boolean vector length number variables. entry k TRUE variable k must non-negative. crit Either max min (used add iso-profit line) faces character vector length number variables. entry k '' variable \\(k\\) must integer 'c' continuous. Useful e.g. want show linear relaxation IP. plotFaces True plot faces. plotFeasible True plot feasible points/segments (relevant IPLP/MILP). plotOptimum Show optimum corner solution point (alternative solutions one shown) add iso-profit line. latex True make latex math labels TikZ. labels NULL add labels. 'n' labels show points. equal coord add coordinates points. Otherwise number points one. ... 2D, arguments passed ggplot plotting functions. must done lists. Currently following arguments supported: argsFaces: list arguments plotHull2D. argsFeasible: list arguments ggplot2 functions: geom_point: list arguments ggplot2::geom_point. geom_line: list arguments ggplot2::geom_line. argsLabels: list arguments ggplot2 functions: geom_text: list arguments ggplot2::geom_text. argsOptimum: geom_point: list arguments ggplot2::geom_point. geom_abline: list arguments ggplot2::geom_abline. geom_label: list arguments ggplot2::geom_label. argsTheme: list arguments ggplot2::theme. 3D arguments passed RGL plotting functions. must done lists. Currently following arguments supported: argsAxes3d: list arguments rgl::axes3d. argsPlot3d: list arguments rgl::plot3d open RGL window. argsTitle3d: list arguments rgl::title3d. argsFaces: list arguments plotHull3D. argsFeasible: list arguments RGL functions: points3d: list arguments rgl::points3d. segments3d: list arguments rgl::segments3d. triangles3d: list arguments rgl::triangles3d. argsLabels: list arguments RGL functions: points3d: list arguments rgl::points3d. text3d: list arguments rgl::text3d. argsOptimum: list arguments RGL functions: points3d: list arguments rgl::points3d.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot the polytope (bounded convex set) of a linear mathematical program (Ax <= b) — plotPolytope","text":"2D ggplot object. 3D RGL window 3D plot.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Plot the polytope (bounded convex set) of a linear mathematical program (Ax <= b) — plotPolytope","text":"feasible region defined constraints must bounded (.e. extreme rays) otherwise may see strange results.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Plot the polytope (bounded convex set) of a linear mathematical program (Ax <= b) — plotPolytope","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Plot the polytope (bounded convex set) of a linear mathematical program (Ax <= b) — plotPolytope","text":"3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot 3D plot","code":"#### 2D examples #### # Define the model max/min coeff*x st. Ax<=b, x>=0 A <- matrix(c(-3,2,2,4,9,10), ncol = 2, byrow = TRUE) b <- c(3,27,90) obj <- c(7.75, 10)  ## LP model # The polytope with the corner points plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = FALSE,    labels = NULL,    argsFaces = list(argsGeom_polygon = list(fill = \"red\")) )  # With optimum and labels: plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\",    argsOptimum = list(lty=\"solid\") )  # Minimize: plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"min\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"n\" )  # Note return a ggplot so can e.g. add other labels on e.g. the axes: p <- plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" ) p + ggplot2::xlab(\"x\") + ggplot2::ylab(\"y\")   # More examples # \\donttest{ ## LP-model with no non-negativity constraints A <- matrix(c(-3, 2, 2, 4, 9, 10, 1, -2), ncol = 2, byrow = TRUE) b <- c(3, 27, 90, 2) obj <- c(7.75, 10) plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    nonneg = rep(FALSE, ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = FALSE,    labels = NULL )     ## The package don't plot feasible regions that are unbounded e.g if we drop the 2 and 3 constraint A <- matrix(c(-3,2), ncol = 2, byrow = TRUE) b <- c(3) obj <- c(7.75, 10) # Wrong plot plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = FALSE,    labels = NULL )  # One solution is to add a bounding box and check if the bounding box is binding A <- rbind(A, c(1,0), c(0,1)) b <- c(b, 10, 10) plotPolytope(    A,    b,    obj,    type = rep(\"c\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = FALSE,    labels = NULL )    ## ILP model A <- matrix(c(-3,2,2,4,9,10), ncol = 2, byrow = TRUE) b <- c(3,27,90) obj <- c(7.75, 10) # ILP model with LP faces: plotPolytope(    A,    b,    obj,    type = rep(\"i\", ncol(A)),    crit = \"max\",    faces = rep(\"c\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\",    argsLabels = list(size = 4, color = \"blue\"),    argsFeasible = list(color = \"red\", size = 3) )  #ILP model with IP faces: plotPolytope(    A,    b,    obj,    type = rep(\"i\", ncol(A)),    crit = \"max\",    faces = rep(\"i\", ncol(A)),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" )    ## MILP model A <- matrix(c(-3,2,2,4,9,10), ncol = 2, byrow = TRUE) b <- c(3,27,90) obj <- c(7.75, 10) # Second coordinate integer plotPolytope(    A,    b,    obj,    type = c(\"c\", \"i\"),    crit = \"max\",    faces = c(\"c\", \"i\"),    plotFaces = FALSE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\",    argsFeasible = list(color = \"red\") )  # First coordinate integer and with LP faces: plotPolytope(    A,    b,    obj,    type = c(\"i\", \"c\"),    crit = \"max\",    faces = c(\"c\", \"c\"),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" )  # First coordinate integer and with LP faces: plotPolytope(    A,    b,    obj,    type = c(\"i\", \"c\"),    crit = \"max\",    faces = c(\"i\", \"c\"),    plotFaces = TRUE,    plotFeasible = TRUE,    plotOptimum = TRUE,    labels = \"coord\" )  # }    #### 3D examples #### # \\donttest{ # Ex 1 view <- matrix( c(-0.412063330411911, -0.228006735444069, 0.882166087627411, 0, 0.910147845745087,                   -0.0574885793030262, 0.410274744033813, 0, -0.042830865830183, 0.97196090221405,                   0.231208890676498, 0, 0, 0, 0, 1), nc = 4) loadView(v = view) 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":6044,\"objects\":{\"6048\":{\"id\":6048,\"type\":\"light\",\"vertices\":[[0,0,1]],\"colors\":[[1,1,1,1],[1,1,1,1],[1,1,1,1]],\"viewpoint\":true,\"finite\":false},\"6047\":{\"id\":6047,\"type\":\"background\",\"material\":{},\"colors\":\"0\",\"centers\":\"1\",\"sphere\":false,\"fogtype\":\"none\",\"fogscale\":1,\"flags\":32768},\"6049\":{\"id\":6049,\"type\":\"background\",\"material\":{\"lit\":false,\"back\":\"lines\"},\"colors\":\"2\",\"centers\":\"3\",\"sphere\":false,\"fogtype\":\"none\",\"fogscale\":1,\"flags\":32768},\"6044\":{\"id\":6044,\"type\":\"subscene\",\"par3d\":{\"antialias\":8,\"FOV\":60,\"ignoreExtent\":false,\"listeners\":6044,\"mouseMode\":{\"none\":\"none\",\"left\":\"trackball\",\"right\":\"zoom\",\"middle\":\"fov\",\"wheel\":\"pull\"},\"observer\":[0,0,426.0845031738281],\"modelMatrix\":[[-0.412063330411911,0.9101478457450867,-0.04283086583018303,0],[-0.2280067354440689,-0.0574885793030262,0.9719609022140503,0],[0.8821660876274109,0.4102747440338135,0.2312088906764984,-426.0845031738281],[0,0,0,1]],\"projMatrix\":[[1.732050776481628,0,0,0],[0,1.732050776481628,0,0],[0,0,-1.99999988079071,-639.126708984375],[0,0,-1,0]],\"skipRedraw\":false,\"userMatrix\":[[-0.412063330411911,0.910147845745087,-0.042830865830183,0],[-0.228006735444069,-0.0574885793030262,0.97196090221405,0],[0.882166087627411,0.410274744033813,0.231208890676498,0],[0,0,0,1]],\"userProjection\":[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]],\"scale\":[1,1,1],\"viewport\":{\"x\":0,\"y\":0,\"width\":1,\"height\":1},\"zoom\":1,\"bbox\":[123,-123,123,-123,123,-123],\"windowRect\":[0,0,256,256],\"family\":\"sans\",\"font\":1,\"cex\":1,\"useFreeType\":true,\"fontname\":\"NULL\",\"maxClipPlanes\":2147483647,\"glVersion\":\"NA\",\"activeSubscene\":0},\"embeddings\":{\"viewport\":\"replace\",\"projection\":\"replace\",\"model\":\"replace\",\"mouse\":\"replace\"},\"objects\":[6049,6048],\"subscenes\":[],\"flags\":33024}},\"crosstalk\":{\"key\":[],\"group\":[],\"id\":[],\"options\":[]},\"width\":700,\"height\":432.6328800988875,\"buffer\":{\"accessors\":[{\"bufferView\":0,\"componentType\":5126,\"count\":1,\"type\":\"VEC4\"},{\"bufferView\":1,\"componentType\":5121,\"count\":1,\"type\":\"VEC3\"},{\"bufferView\":2,\"componentType\":5121,\"count\":1,\"type\":\"VEC4\"},{\"bufferView\":3,\"componentType\":5121,\"count\":1,\"type\":\"VEC3\"}],\"bufferViews\":[{\"buffer\":0,\"byteLength\":16,\"byteOffset\":0},{\"buffer\":0,\"byteLength\":3,\"byteOffset\":16},{\"buffer\":0,\"byteLength\":4,\"byteOffset\":19},{\"buffer\":0,\"byteLength\":3,\"byteOffset\":23}],\"buffers\":[{\"byteLength\":26,\"bytes\":\"mZiYPpmYmD6ZmJg+AACAPwAAAAEBAQEAAAA=\"}]},\"context\":{\"shiny\":false,\"rmarkdown\":null},\"vertexShader\":\"#line 2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}A <- matrix( c(    3, 2, 5,    2, 1, 1,    1, 1, 3,    5, 2, 4 ), nc = 3, byrow = TRUE) b <- c(55, 26, 30, 57) obj <- c(20, 10, 15) # LP model plotPolytope(A, b, plotOptimum = TRUE, obj = obj, labels = \"coord\") 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":6044,\"objects\":{\"6098\":{\"id\":6098,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"0\",\"colors\":\"1\",\"centers\":\"2\",\"ignoreExtent\":false,\"flags\":32832},\"6100\":{\"id\":6100,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":0,\"floating\":true,\"edge\":[0,1,1]},\"vertices\":\"3\",\"colors\":\"4\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"5\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"6101\":{\"id\":6101,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"6\",\"colors\":\"7\",\"centers\":\"8\",\"ignoreExtent\":false,\"flags\":32832},\"6102\":{\"id\":6102,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"9\",\"colors\":\"11\",\"centers\":\"12\",\"normals\":\"10\",\"ignoreExtent\":false,\"flags\":32811},\"6103\":{\"id\":6103,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"13\",\"colors\":\"14\",\"centers\":\"15\",\"ignoreExtent\":false,\"flags\":32832},\"6104\":{\"id\":6104,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"16\",\"colors\":\"18\",\"centers\":\"19\",\"normals\":\"17\",\"ignoreExtent\":false,\"flags\":32811},\"6105\":{\"id\":6105,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"20\",\"colors\":\"21\",\"centers\":\"22\",\"ignoreExtent\":false,\"flags\":32832},\"6106\":{\"id\":6106,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"23\",\"colors\":\"25\",\"centers\":\"26\",\"normals\":\"24\",\"ignoreExtent\":false,\"flags\":32811},\"6107\":{\"id\":6107,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"27\",\"colors\":\"28\",\"centers\":\"29\",\"ignoreExtent\":false,\"flags\":32832},\"6108\":{\"id\":6108,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"30\",\"colors\":\"32\",\"centers\":\"33\",\"normals\":\"31\",\"ignoreExtent\":false,\"flags\":32811},\"6109\":{\"id\":6109,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"34\",\"colors\":\"35\",\"centers\":\"36\",\"ignoreExtent\":false,\"flags\":32832},\"6110\":{\"id\":6110,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"37\",\"colors\":\"39\",\"centers\":\"40\",\"normals\":\"38\",\"ignoreExtent\":false,\"flags\":32811},\"6111\":{\"id\":6111,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"41\",\"colors\":\"42\",\"centers\":\"43\",\"ignoreExtent\":false,\"flags\":32832},\"6112\":{\"id\":6112,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"44\",\"colors\":\"46\",\"centers\":\"47\",\"normals\":\"45\",\"ignoreExtent\":false,\"flags\":32811},\"6113\":{\"id\":6113,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"48\",\"colors\":\"49\",\"centers\":\"50\",\"ignoreExtent\":false,\"flags\":32832},\"6114\":{\"id\":6114,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"51\",\"colors\":\"53\",\"centers\":\"54\",\"normals\":\"52\",\"ignoreExtent\":false,\"flags\":32811},\"6115\":{\"id\":6115,\"type\":\"points\",\"material\":{\"lit\":false,\"size\":7},\"vertices\":\"55\",\"colors\":\"56\",\"centers\":\"57\",\"ignoreExtent\":false,\"flags\":34816},\"6116\":{\"id\":6116,\"type\":\"points\",\"material\":{\"lit\":false,\"size\":7},\"vertices\":\"58\",\"colors\":\"59\",\"centers\":\"60\",\"ignoreExtent\":false,\"flags\":34816},\"6117\":{\"id\":6117,\"type\":\"text\",\"material\":{\"lit\":false},\"vertices\":\"61\",\"colors\":\"62\",\"texts\":[[\"(1.8, 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gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, plotOptimum = TRUE, obj = obj, labels = \"coord\",              argsFaces = list(drawLines = FALSE, argsPolygon3d = list(alpha = 0.95)),              argsLabels = list(points3d = list(color = \"blue\"))) 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":6044,\"objects\":{\"6127\":{\"id\":6127,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"0\",\"colors\":\"1\",\"centers\":\"2\",\"ignoreExtent\":false,\"flags\":32832},\"6129\":{\"id\":6129,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":0,\"floating\":true,\"edge\":[0,1,1]},\"vertices\":\"3\",\"colors\":\"4\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"5\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"6130\":{\"id\":6130,\"type\":\"triangles\",\"material\":{\"alpha\":0.9490196108818054,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"6\",\"colors\":\"8\",\"centers\":\"9\",\"normals\":\"7\",\"ignoreExtent\":false,\"flags\":32811},\"6131\":{\"id\":6131,\"type\":\"quads\",\"material\":{\"alpha\":0.9490196108818054,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"10\",\"colors\":\"12\",\"centers\":\"13\",\"normals\":\"11\",\"ignoreExtent\":false,\"flags\":32811},\"6132\":{\"id\":6132,\"type\":\"triangles\",\"material\":{\"alpha\":0.9490196108818054,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"14\",\"colors\":\"16\",\"centers\":\"17\",\"normals\":\"15\",\"ignoreExtent\":false,\"flags\":32811},\"6133\":{\"id\":6133,\"type\":\"quads\",\"material\":{\"alpha\":0.9490196108818054,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"18\",\"colors\":\"20\",\"centers\":\"21\",\"normals\":\"19\",\"ignoreExtent\":false,\"flags\":32811},\"6134\":{\"id\":6134,\"type\":\"triangles\",\"material\":{\"alpha\":0.9490196108818054,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"22\",\"colors\":\"24\",\"centers\":\"25\",\"normals\":\"23\",\"ignoreExtent\":false,\"flags\":32811},\"6135\":{\"id\":6135,\"type\":\"triangles\",\"material\":{\"alpha\":0.9490196108818054,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"26\",\"colors\":\"28\",\"centers\":\"29\",\"normals\":\"27\",\"ignoreExtent\":false,\"flags\":32811},\"6136\":{\"id\":6136,\"type\":\"quads\",\"material\":{\"alpha\":0.9490196108818054,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"30\",\"colors\":\"32\",\"centers\":\"33\",\"normals\":\"31\",\"ignoreExtent\":false,\"flags\":32811},\"6137\":{\"id\":6137,\"type\":\"points\",\"material\":{\"lit\":false,\"size\":7},\"vertices\":\"34\",\"colors\":\"35\",\"centers\":\"36\",\"ignoreExtent\":false,\"flags\":34816},\"6138\":{\"id\":6138,\"type\":\"points\",\"material\":{\"lit\":false,\"size\":7},\"vertices\":\"37\",\"colors\":\"38\",\"centers\":\"39\",\"ignoreExtent\":false,\"flags\":34816},\"6139\":{\"id\":6139,\"type\":\"text\",\"material\":{\"lit\":false},\"vertices\":\"40\",\"colors\":\"41\",\"texts\":[[\"(1.8, 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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# ILP model plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"i\",\"i\"), plotOptimum = TRUE, obj = obj) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# MILP model plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"c\",\"i\"), plotOptimum = TRUE, obj = obj) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"c\",\"i\",\"i\"), plotOptimum = TRUE, obj = obj) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"i\",\"c\"), plotOptimum = TRUE, obj = obj) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"i\",\"c\"), plotFaces = FALSE) 3D plot  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gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, type = c(\"c\",\"i\",\"c\"), plotOptimum = TRUE, obj = obj, plotFaces = FALSE) 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, type = c(\"c\",\"c\",\"i\"), plotOptimum = TRUE, obj = obj, plotFaces = FALSE)  # Ex 2 view <- matrix( c(-0.812462985515594, -0.029454167932272, 0.582268416881561, 0, 0.579295456409454,                   -0.153386667370796, 0.800555109977722, 0, 0.0657325685024261, 0.987727105617523,                   0.14168381690979, 0, 0, 0, 0, 1), nc = 4) loadView(v = view) 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":6044,\"objects\":{\"6048\":{\"id\":6048,\"type\":\"light\",\"vertices\":[[0,0,1]],\"colors\":[[1,1,1,1],[1,1,1,1],[1,1,1,1]],\"viewpoint\":true,\"finite\":false},\"6049\":{\"id\":6049,\"type\":\"background\",\"material\":{\"lit\":false,\"back\":\"lines\"},\"colors\":\"0\",\"centers\":\"1\",\"sphere\":false,\"fogtype\":\"none\",\"fogscale\":1,\"flags\":32768},\"6044\":{\"id\":6044,\"type\":\"subscene\",\"par3d\":{\"antialias\":8,\"FOV\":60,\"ignoreExtent\":false,\"listeners\":6044,\"mouseMode\":{\"none\":\"none\",\"left\":\"trackball\",\"right\":\"zoom\",\"middle\":\"fov\",\"wheel\":\"pull\"},\"observer\":[0,0,426.0845031738281],\"modelMatrix\":[[-0.8124629855155945,0.5792954564094543,0.06573256850242615,0],[-0.02945416793227196,-0.1533866673707962,0.9877271056175232,0],[0.5822684168815613,0.8005551099777222,0.14168381690979,-426.0845031738281],[0,0,0,1]],\"projMatrix\":[[1.732050776481628,0,0,0],[0,1.732050776481628,0,0],[0,0,-1.99999988079071,-639.126708984375],[0,0,-1,0]],\"skipRedraw\":false,\"userMatrix\":[[-0.812462985515594,0.579295456409454,0.06573256850242611,0],[-0.029454167932272,-0.153386667370796,0.987727105617523,0],[0.5822684168815609,0.8005551099777219,0.14168381690979,0],[0,0,0,1]],\"userProjection\":[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]],\"scale\":[1,1,1],\"viewport\":{\"x\":0,\"y\":0,\"width\":1,\"height\":1},\"zoom\":1,\"bbox\":[123,-123,123,-123,123,-123],\"windowRect\":[0,0,256,256],\"family\":\"sans\",\"font\":1,\"cex\":1,\"useFreeType\":true,\"fontname\":\"NULL\",\"maxClipPlanes\":2147483647,\"glVersion\":\"NA\",\"activeSubscene\":0},\"embeddings\":{\"viewport\":\"replace\",\"projection\":\"replace\",\"model\":\"replace\",\"mouse\":\"replace\"},\"objects\":[6049,6048],\"subscenes\":[],\"flags\":33024}},\"crosstalk\":{\"key\":[],\"group\":[],\"id\":[],\"options\":[]},\"width\":700,\"height\":432.6328800988875,\"buffer\":{\"accessors\":[{\"bufferView\":0,\"componentType\":5121,\"count\":1,\"type\":\"VEC4\"},{\"bufferView\":1,\"componentType\":5121,\"count\":1,\"type\":\"VEC3\"}],\"bufferViews\":[{\"buffer\":0,\"byteLength\":4,\"byteOffset\":0},{\"buffer\":0,\"byteLength\":3,\"byteOffset\":4}],\"buffers\":[{\"byteLength\":7,\"bytes\":\"AQEBAQAAAA==\"}]},\"context\":{\"shiny\":false,\"rmarkdown\":null},\"vertexShader\":\"#line 2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}A <- matrix( c(    1, 1, 1,    3, 0, 1 ), nc = 3, byrow = TRUE) b <- c(10, 24) obj <- c(20, 10, 15) plotPolytope(A, b, plotOptimum = TRUE, obj = obj, labels = \"coord\") 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":6044,\"objects\":{\"6971\":{\"id\":6971,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"0\",\"colors\":\"1\",\"centers\":\"2\",\"ignoreExtent\":false,\"flags\":32832},\"6973\":{\"id\":6973,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":0,\"floating\":true,\"edge\":[0,1,1]},\"vertices\":\"3\",\"colors\":\"4\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"5\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"6974\":{\"id\":6974,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"6\",\"colors\":\"7\",\"centers\":\"8\",\"ignoreExtent\":false,\"flags\":32832},\"6975\":{\"id\":6975,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"9\",\"colors\":\"11\",\"centers\":\"12\",\"normals\":\"10\",\"ignoreExtent\":false,\"flags\":32811},\"6976\":{\"id\":6976,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"13\",\"colors\":\"14\",\"centers\":\"15\",\"ignoreExtent\":false,\"flags\":32832},\"6977\":{\"id\":6977,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"16\",\"colors\":\"18\",\"centers\":\"19\",\"normals\":\"17\",\"ignoreExtent\":false,\"flags\":32811},\"6978\":{\"id\":6978,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"20\",\"colors\":\"21\",\"centers\":\"22\",\"ignoreExtent\":false,\"flags\":32832},\"6979\":{\"id\":6979,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"23\",\"colors\":\"25\",\"centers\":\"26\",\"normals\":\"24\",\"ignoreExtent\":false,\"flags\":32811},\"6980\":{\"id\":6980,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"27\",\"colors\":\"28\",\"centers\":\"29\",\"ignoreExtent\":false,\"flags\":32832},\"6981\":{\"id\":6981,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"30\",\"colors\":\"32\",\"centers\":\"33\",\"normals\":\"31\",\"ignoreExtent\":false,\"flags\":32811},\"6982\":{\"id\":6982,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"34\",\"colors\":\"35\",\"centers\":\"36\",\"ignoreExtent\":false,\"flags\":32832},\"6983\":{\"id\":6983,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"37\",\"colors\":\"39\",\"centers\":\"40\",\"normals\":\"38\",\"ignoreExtent\":false,\"flags\":32811},\"6984\":{\"id\":6984,\"type\":\"points\",\"material\":{\"lit\":false,\"size\":7},\"vertices\":\"41\",\"colors\":\"42\",\"centers\":\"43\",\"ignoreExtent\":false,\"flags\":34816},\"6985\":{\"id\":6985,\"type\":\"points\",\"material\":{\"lit\":false,\"size\":7},\"vertices\":\"44\",\"colors\":\"45\",\"centers\":\"46\",\"ignoreExtent\":false,\"flags\":34816},\"6986\":{\"id\":6986,\"type\":\"text\",\"material\":{\"lit\":false},\"vertices\":\"47\",\"colors\":\"48\",\"texts\":[[\"(7, 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mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# ILP model plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"i\",\"i\"), plotOptimum = TRUE, obj = obj) 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":6044,\"objects\":{\"6996\":{\"id\":6996,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"0\",\"colors\":\"1\",\"centers\":\"2\",\"ignoreExtent\":false,\"flags\":32832},\"6998\":{\"id\":6998,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":0,\"floating\":true,\"edge\":[0,1,1]},\"vertices\":\"3\",\"colors\":\"4\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"5\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"6999\":{\"id\":6999,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"6\",\"colors\":\"7\",\"centers\":\"8\",\"ignoreExtent\":false,\"flags\":32832},\"7000\":{\"id\":7000,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"9\",\"colors\":\"11\",\"centers\":\"12\",\"normals\":\"10\",\"ignoreExtent\":false,\"flags\":32811},\"7001\":{\"id\":7001,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"13\",\"colors\":\"14\",\"centers\":\"15\",\"ignoreExtent\":false,\"flags\":32832},\"7002\":{\"id\":7002,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"16\",\"colors\":\"18\",\"centers\":\"19\",\"normals\":\"17\",\"ignoreExtent\":false,\"flags\":32811},\"7003\":{\"id\":7003,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"20\",\"colors\":\"21\",\"centers\":\"22\",\"ignoreExtent\":false,\"flags\":32832},\"7004\":{\"id\":7004,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"23\",\"colors\":\"25\",\"centers\":\"26\",\"normals\":\"24\",\"ignoreExtent\":false,\"flags\":32811},\"7005\":{\"id\":7005,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"27\",\"colors\":\"28\",\"centers\":\"29\",\"ignoreExtent\":false,\"flags\":32832},\"7006\":{\"id\":7006,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"30\",\"colors\":\"32\",\"centers\":\"33\",\"normals\":\"31\",\"ignoreExtent\":false,\"flags\":32811},\"7007\":{\"id\":7007,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"34\",\"colors\":\"35\",\"centers\":\"36\",\"ignoreExtent\":false,\"flags\":32832},\"7008\":{\"id\":7008,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"37\",\"colors\":\"39\",\"centers\":\"40\",\"normals\":\"38\",\"ignoreExtent\":false,\"flags\":32811},\"7009\":{\"id\":7009,\"type\":\"points\",\"material\":{\"lit\":false},\"vertices\":\"41\",\"colors\":\"42\",\"centers\":\"43\",\"ignoreExtent\":false,\"flags\":34816},\"7010\":{\"id\":7010,\"type\":\"points\",\"material\":{\"lit\":false,\"size\":7},\"vertices\":\"44\",\"colors\":\"45\",\"centers\":\"46\",\"ignoreExtent\":false,\"flags\":34816},\"7011\":{\"id\":7011,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"47\",\"colors\":\"48\",\"centers\":\"49\",\"ignoreExtent\":true,\"flags\":32832},\"7012\":{\"id\":7012,\"type\":\"text\",\"material\":{\"lit\":false},\"vertices\":\"50\",\"colors\":\"51\",\"texts\":[[\"0\"],[\"2\"],[\"4\"],[\"6\"],[\"8\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"52\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"7013\":{\"id\":7013,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"53\",\"colors\":\"54\",\"centers\":\"55\",\"ignoreExtent\":true,\"flags\":32832},\"7014\":{\"id\":7014,\"type\":\"text\",\"material\":{\"lit\":false},\"vertices\":\"56\",\"colors\":\"57\",\"texts\":[[\" 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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# MILP model plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"c\",\"i\"), plotOptimum = TRUE, obj = obj) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float 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mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"c\",\"i\",\"i\"), plotOptimum = TRUE, obj = obj) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"i\",\"c\"), plotOptimum = TRUE, obj = obj) 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"i\",\"c\"), plotFaces = FALSE) 3D plot  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mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, type = c(\"c\",\"i\",\"c\"), plotOptimum = TRUE, obj = obj, plotFaces = FALSE) 3D plot  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float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, type = c(\"c\",\"c\",\"i\"), plotOptimum = TRUE, obj = obj, plotFaces = FALSE)  # Ex 3 view <- matrix( c(0.976349174976349, -0.202332556247711, 0.0761845782399178, 0, 0.0903248339891434,                   0.701892614364624, 0.706531345844269, 0, -0.196427255868912, -0.682940244674683,                   0.703568696975708, 0, 0, 0, 0, 1), nc = 4) loadView(v = view) 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":6044,\"objects\":{\"6048\":{\"id\":6048,\"type\":\"light\",\"vertices\":[[0,0,1]],\"colors\":[[1,1,1,1],[1,1,1,1],[1,1,1,1]],\"viewpoint\":true,\"finite\":false},\"6049\":{\"id\":6049,\"type\":\"background\",\"material\":{\"lit\":false,\"back\":\"lines\"},\"colors\":\"0\",\"centers\":\"1\",\"sphere\":false,\"fogtype\":\"none\",\"fogscale\":1,\"flags\":32768},\"6044\":{\"id\":6044,\"type\":\"subscene\",\"par3d\":{\"antialias\":8,\"FOV\":60,\"ignoreExtent\":false,\"listeners\":6044,\"mouseMode\":{\"none\":\"none\",\"left\":\"trackball\",\"right\":\"zoom\",\"middle\":\"fov\",\"wheel\":\"pull\"},\"observer\":[0,0,426.0845031738281],\"modelMatrix\":[[0.9763491749763489,0.09032483398914337,-0.1964272558689117,0],[-0.2023325562477112,0.701892614364624,-0.6829402446746826,0],[0.07618457823991776,0.7065313458442688,0.703568696975708,-426.0845031738281],[0,0,0,1]],\"projMatrix\":[[1.732050776481628,0,0,0],[0,1.732050776481628,0,0],[0,0,-1.99999988079071,-639.126708984375],[0,0,-1,0]],\"skipRedraw\":false,\"userMatrix\":[[0.976349174976349,0.0903248339891434,-0.196427255868912,0],[-0.202332556247711,0.701892614364624,-0.682940244674683,0],[0.0761845782399178,0.706531345844269,0.703568696975708,0],[0,0,0,1]],\"userProjection\":[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]],\"scale\":[1,1,1],\"viewport\":{\"x\":0,\"y\":0,\"width\":1,\"height\":1},\"zoom\":1,\"bbox\":[123,-123,123,-123,123,-123],\"windowRect\":[0,0,256,256],\"family\":\"sans\",\"font\":1,\"cex\":1,\"useFreeType\":true,\"fontname\":\"NULL\",\"maxClipPlanes\":2147483647,\"glVersion\":\"NA\",\"activeSubscene\":0},\"embeddings\":{\"viewport\":\"replace\",\"projection\":\"replace\",\"model\":\"replace\",\"mouse\":\"replace\"},\"objects\":[6049,6048],\"subscenes\":[],\"flags\":33024}},\"crosstalk\":{\"key\":[],\"group\":[],\"id\":[],\"options\":[]},\"width\":700,\"height\":432.6328800988875,\"buffer\":{\"accessors\":[{\"bufferView\":0,\"componentType\":5121,\"count\":1,\"type\":\"VEC4\"},{\"bufferView\":1,\"componentType\":5121,\"count\":1,\"type\":\"VEC3\"}],\"bufferViews\":[{\"buffer\":0,\"byteLength\":4,\"byteOffset\":0},{\"buffer\":0,\"byteLength\":3,\"byteOffset\":4}],\"buffers\":[{\"byteLength\":7,\"bytes\":\"AQEBAQAAAA==\"}]},\"context\":{\"shiny\":false,\"rmarkdown\":null},\"vertexShader\":\"#line 2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}A <- matrix( c(    -1, 1, 0,    1, 4, 0,    2, 1, 0,    3, -4, 0,    0, 0, 4 ), nc = 3, byrow = TRUE) b <- c(5, 45, 27, 24, 10) obj <- c(5, 45, 15) plotPolytope(A, b, plotOptimum = TRUE, obj = obj, labels = \"coord\") 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# ILP model plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"i\",\"i\"), plotOptimum = TRUE, obj = obj) 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":6044,\"objects\":{\"7457\":{\"id\":7457,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"0\",\"colors\":\"1\",\"centers\":\"2\",\"ignoreExtent\":false,\"flags\":32832},\"7459\":{\"id\":7459,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":0,\"floating\":true,\"edge\":[0,1,1]},\"vertices\":\"3\",\"colors\":\"4\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"5\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"7460\":{\"id\":7460,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"6\",\"colors\":\"7\",\"centers\":\"8\",\"ignoreExtent\":false,\"flags\":32832},\"7461\":{\"id\":7461,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"9\",\"colors\":\"11\",\"centers\":\"12\",\"normals\":\"10\",\"ignoreExtent\":false,\"flags\":32811},\"7462\":{\"id\":7462,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"13\",\"colors\":\"14\",\"centers\":\"15\",\"ignoreExtent\":false,\"flags\":32832},\"7463\":{\"id\":7463,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"16\",\"colors\":\"18\",\"centers\":\"19\",\"normals\":\"17\",\"ignoreExtent\":false,\"flags\":32811},\"7464\":{\"id\":7464,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"20\",\"colors\":\"21\",\"centers\":\"22\",\"ignoreExtent\":false,\"flags\":32832},\"7465\":{\"id\":7465,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"23\",\"colors\":\"25\",\"centers\":\"26\",\"normals\":\"24\",\"ignoreExtent\":false,\"flags\":32811},\"7466\":{\"id\":7466,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"27\",\"colors\":\"28\",\"centers\":\"29\",\"ignoreExtent\":false,\"flags\":32832},\"7467\":{\"id\":7467,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"30\",\"colors\":\"32\",\"centers\":\"33\",\"normals\":\"31\",\"ignoreExtent\":false,\"flags\":32811},\"7468\":{\"id\":7468,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"34\",\"colors\":\"35\",\"centers\":\"36\",\"ignoreExtent\":false,\"flags\":32832},\"7469\":{\"id\":7469,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"37\",\"colors\":\"39\",\"centers\":\"40\",\"normals\":\"38\",\"ignoreExtent\":false,\"flags\":32811},\"7470\":{\"id\":7470,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"41\",\"colors\":\"42\",\"centers\":\"43\",\"ignoreExtent\":false,\"flags\":32832},\"7471\":{\"id\":7471,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"44\",\"colors\":\"46\",\"centers\":\"47\",\"normals\":\"45\",\"ignoreExtent\":false,\"flags\":32811},\"7472\":{\"id\":7472,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"48\",\"colors\":\"49\",\"centers\":\"50\",\"ignoreExtent\":false,\"flags\":32832},\"7473\":{\"id\":7473,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"51\",\"colors\":\"53\",\"centers\":\"54\",\"normals\":\"52\",\"ignoreExtent\":false,\"flags\":32811},\"7474\":{\"id\":7474,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"55\",\"colors\":\"56\",\"centers\":\"57\",\"ignoreExtent\":false,\"flags\":32832},\"7475\":{\"id\":7475,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"58\",\"colors\":\"60\",\"centers\":\"61\",\"normals\":\"59\",\"ignoreExtent\":false,\"flags\":32811},\"7476\":{\"id\":7476,\"type\":\"points\",\"material\":{\"lit\":false},\"vertices\":\"62\",\"colors\":\"63\",\"centers\":\"64\",\"ignoreExtent\":false,\"flags\":34816},\"7477\":{\"id\":7477,\"type\":\"points\",\"material\":{\"lit\":false,\"size\":7},\"vertices\":\"65\",\"colors\":\"66\",\"centers\":\"67\",\"ignoreExtent\":false,\"flags\":34816},\"7478\":{\"id\":7478,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"68\",\"colors\":\"69\",\"centers\":\"70\",\"ignoreExtent\":true,\"flags\":32832},\"7479\":{\"id\":7479,\"type\":\"text\",\"material\":{\"lit\":false},\"vertice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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# MILP model plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"c\",\"i\"), plotOptimum = TRUE, obj = obj) 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"c\",\"i\",\"i\"), plotOptimum = TRUE, obj = obj) 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"i\",\"c\"), plotOptimum = TRUE, obj = obj) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"i\",\"c\"), plotFaces = FALSE) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, type = c(\"c\",\"i\",\"c\"), plotOptimum = TRUE, obj = obj, plotFaces = FALSE) 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}plotPolytope(A, b, type = c(\"c\",\"c\",\"i\"), plotOptimum = TRUE, obj = obj, plotFaces = FALSE)  # Ex 4 view <- matrix( c(-0.452365815639496, -0.446501553058624, 0.77201122045517, 0, 0.886364221572876,                   -0.320795893669128, 0.333835482597351, 0, 0.0986008867621422, 0.835299551486969,                   0.540881276130676, 0, 0, 0, 0, 1), nc = 4) loadView(v = view) 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":6044,\"objects\":{\"6048\":{\"id\":6048,\"type\":\"light\",\"vertices\":[[0,0,1]],\"colors\":[[1,1,1,1],[1,1,1,1],[1,1,1,1]],\"viewpoint\":true,\"finite\":false},\"6049\":{\"id\":6049,\"type\":\"background\",\"material\":{\"lit\":false,\"back\":\"lines\"},\"colors\":\"0\",\"centers\":\"1\",\"sphere\":false,\"fogtype\":\"none\",\"fogscale\":1,\"flags\":32768},\"6044\":{\"id\":6044,\"type\":\"subscene\",\"par3d\":{\"antialias\":8,\"FOV\":60,\"ignoreExtent\":false,\"listeners\":6044,\"mouseMode\":{\"none\":\"none\",\"left\":\"trackball\",\"right\":\"zoom\",\"middle\":\"fov\",\"wheel\":\"pull\"},\"observer\":[0,0,426.0845031738281],\"modelMatrix\":[[-0.4523658156394958,0.886364221572876,0.09860088676214218,0],[-0.4465015530586243,-0.3207958936691284,0.835299551486969,0],[0.7720112204551697,0.3338354825973511,0.5408812761306763,-426.0845031738281],[0,0,0,1]],\"projMatrix\":[[1.732050776481628,0,0,0],[0,1.732050776481628,0,0],[0,0,-1.99999988079071,-639.126708984375],[0,0,-1,0]],\"skipRedraw\":false,\"userMatrix\":[[-0.452365815639496,0.886364221572876,0.0986008867621422,0],[-0.446501553058624,-0.320795893669128,0.835299551486969,0],[0.77201122045517,0.333835482597351,0.540881276130676,0],[0,0,0,1]],\"userProjection\":[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]],\"scale\":[1,1,1],\"viewport\":{\"x\":0,\"y\":0,\"width\":1,\"height\":1},\"zoom\":1,\"bbox\":[123,-123,123,-123,123,-123],\"windowRect\":[0,0,256,256],\"family\":\"sans\",\"font\":1,\"cex\":1,\"useFreeType\":true,\"fontname\":\"NULL\",\"maxClipPlanes\":2147483647,\"glVersion\":\"NA\",\"activeSubscene\":0},\"embeddings\":{\"viewport\":\"replace\",\"projection\":\"replace\",\"model\":\"replace\",\"mouse\":\"replace\"},\"objects\":[6049,6048],\"subscenes\":[],\"flags\":33024}},\"crosstalk\":{\"key\":[],\"group\":[],\"id\":[],\"options\":[]},\"width\":700,\"height\":432.6328800988875,\"buffer\":{\"accessors\":[{\"bufferView\":0,\"componentType\":5121,\"count\":1,\"type\":\"VEC4\"},{\"bufferView\":1,\"componentType\":5121,\"count\":1,\"type\":\"VEC3\"}],\"bufferViews\":[{\"buffer\":0,\"byteLength\":4,\"byteOffset\":0},{\"buffer\":0,\"byteLength\":3,\"byteOffset\":4}],\"buffers\":[{\"byteLength\":7,\"bytes\":\"AQEBAQAAAA==\"}]},\"context\":{\"shiny\":false,\"rmarkdown\":null},\"vertexShader\":\"#line 2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}Ab <- matrix( c(    1, 1, 2, 5,    2, -1, 0, 3,    -1, 2, 1, 3,    0, -3, 5, 2    #   0, 1, 0, 4,    #   1, 0, 0, 4 ), nc = 4, byrow = TRUE) A <- Ab[,1:3] b <- Ab[,4] obj = c(1,1,3) plotPolytope(A, b, plotOptimum = TRUE, obj = obj, labels = \"coord\") 3D plot  {\"x\":{\"material\":{\"color\":\"#000000\",\"alpha\":1,\"lit\":true,\"ambient\":\"#000000\",\"specular\":\"#FFFFFF\",\"emission\":\"#000000\",\"shininess\":50,\"smooth\":true,\"front\":\"filled\",\"back\":\"filled\",\"size\":3,\"lwd\":1,\"fog\":true,\"point_antialias\":false,\"line_antialias\":false,\"texture\":null,\"textype\":\"rgb\",\"texmode\":\"modulate\",\"texmipmap\":false,\"texminfilter\":\"linear\",\"texmagfilter\":\"linear\",\"texenvmap\":false,\"depth_mask\":true,\"depth_test\":\"less\",\"isTransparent\":false,\"polygon_offset\":[0,0],\"margin\":\"\",\"floating\":false,\"tag\":\"\",\"blend\":[\"src_alpha\",\"one_minus_src_alpha\"]},\"rootSubscene\":6044,\"objects\":{\"7926\":{\"id\":7926,\"type\":\"lines\",\"material\":{\"lit\":false},\"vertices\":\"0\",\"colors\":\"1\",\"centers\":\"2\",\"ignoreExtent\":false,\"flags\":32832},\"7928\":{\"id\":7928,\"type\":\"text\",\"material\":{\"lit\":false,\"margin\":0,\"floating\":true,\"edge\":[0,1,1]},\"vertices\":\"3\",\"colors\":\"4\",\"texts\":[[\"\"]],\"cex\":[[1]],\"adj\":[[0.5,0.5,0.5]],\"centers\":\"5\",\"family\":[[\"sans\"]],\"font\":[[1]],\"ignoreExtent\":true,\"flags\":33808},\"7929\":{\"id\":7929,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"6\",\"colors\":\"7\",\"centers\":\"8\",\"ignoreExtent\":false,\"flags\":32832},\"7930\":{\"id\":7930,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"9\",\"colors\":\"11\",\"centers\":\"12\",\"normals\":\"10\",\"ignoreExtent\":false,\"flags\":32811},\"7931\":{\"id\":7931,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"13\",\"colors\":\"14\",\"centers\":\"15\",\"ignoreExtent\":false,\"flags\":32832},\"7932\":{\"id\":7932,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"16\",\"colors\":\"18\",\"centers\":\"19\",\"normals\":\"17\",\"ignoreExtent\":false,\"flags\":32811},\"7933\":{\"id\":7933,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"20\",\"colors\":\"21\",\"centers\":\"22\",\"ignoreExtent\":false,\"flags\":32832},\"7934\":{\"id\":7934,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"23\",\"colors\":\"25\",\"centers\":\"26\",\"normals\":\"24\",\"ignoreExtent\":false,\"flags\":32811},\"7935\":{\"id\":7935,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"27\",\"colors\":\"28\",\"centers\":\"29\",\"ignoreExtent\":false,\"flags\":32832},\"7936\":{\"id\":7936,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"30\",\"colors\":\"32\",\"centers\":\"33\",\"normals\":\"31\",\"ignoreExtent\":false,\"flags\":32811},\"7937\":{\"id\":7937,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"34\",\"colors\":\"35\",\"centers\":\"36\",\"ignoreExtent\":false,\"flags\":32832},\"7938\":{\"id\":7938,\"type\":\"triangles\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"37\",\"colors\":\"39\",\"centers\":\"40\",\"normals\":\"38\",\"ignoreExtent\":false,\"flags\":32811},\"7939\":{\"id\":7939,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"41\",\"colors\":\"42\",\"centers\":\"43\",\"ignoreExtent\":false,\"flags\":32832},\"7940\":{\"id\":7940,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"44\",\"colors\":\"46\",\"centers\":\"47\",\"normals\":\"45\",\"ignoreExtent\":false,\"flags\":32811},\"7941\":{\"id\":7941,\"type\":\"linestrip\",\"material\":{\"lit\":false},\"vertices\":\"48\",\"colors\":\"49\",\"centers\":\"50\",\"ignoreExtent\":false,\"flags\":32832},\"7942\":{\"id\":7942,\"type\":\"quads\",\"material\":{\"alpha\":0.09803921729326248,\"lwd\":2,\"isTransparent\":true},\"vertices\":\"51\",\"colors\":\"53\",\"centers\":\"54\",\"normals\":\"52\",\"ignoreExtent\":false,\"flags\":32811},\"7943\":{\"id\":7943,\"type\":\"points\",\"material\":{\"lit\":false,\"size\":7},\"vertices\":\"55\",\"colors\":\"56\",\"centers\":\"57\",\"ignoreExtent\":false,\"flags\":34816},\"7944\":{\"id\":7944,\"type\":\"points\",\"material\":{\"lit\":false,\"size\":7},\"vertices\":\"58\",\"colors\":\"59\",\"centers\":\"60\",\"ignoreExtent\":false,\"flags\":34816},\"7945\":{\"id\":7945,\"type\":\"text\",\"material\":{\"lit\":false},\"vertices\":\"61\",\"colors\":\"62\",\"texts\":[[\"(2, 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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# ILP model plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"i\",\"i\"), plotOptimum = TRUE, obj = obj) 3D plot  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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# MILP model plotPolytope(A, b, faces = c(\"c\",\"c\",\"c\"), type = c(\"i\",\"c\",\"i\"), plotOptimum = TRUE, obj = obj) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      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gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 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mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        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gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      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uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# }"},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope2D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope2D","title":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope2D","text":"Plot polytope (bounded convex set) linear mathematical program","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope2D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope2D","text":"","code":"plotPolytope2D(   A,   b,   obj = NULL,   type = rep(\"c\", ncol(A)),   nonneg = rep(TRUE, ncol(A)),   crit = \"max\",   faces = rep(\"c\", ncol(A)),   plotFaces = TRUE,   plotFeasible = TRUE,   plotOptimum = FALSE,   latex = FALSE,   labels = NULL,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope2D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope2D","text":"constraint matrix. b Right hand side. obj vector objective coefficients. type character vector length number variables. entry k '' variable \\(k\\) must integer 'c' continuous. nonneg boolean vector length number variables. entry k TRUE variable k must non-negative. crit Either max min (used add iso-profit line) faces character vector length number variables. entry k '' variable \\(k\\) must integer 'c' continuous. Useful e.g. want show linear relaxation IP. plotFaces True plot faces. plotFeasible True plot feasible points/segments (relevant ILP/MILP). plotOptimum Show optimum corner solution point (alternative solutions one shown) add iso-profit line. latex True make latex math labels TikZ. labels NULL add labels. 'n' labels show points. equal coord add coordinates points. Otherwise number points one. ... arguments passed ggplot plotting functions. must done lists. Currently following arguments supported: argsFaces: list arguments plotHull2D. argsFeasible: list arguments ggplotl2 functions: geom_point: list arguments ggplot2::geom_point. geom_line: list arguments ggplot2::geom_line. argsLabels: list arguments ggplotl2 functions: geom_text: list arguments ggplot2::geom_text. argsOptimum: geom_point: list arguments ggplot2::geom_point. geom_abline: list arguments ggplot2::geom_abline. geom_label: list arguments ggplot2::geom_label. argsTheme: list arguments ggplot2::theme.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope2D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope2D","text":"ggplot object.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope2D.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope2D","text":"general use plotPolytope() instead function. feasible region defined constraints must bounded otherwise may see strange results.","code":""},{"path":[]},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope2D.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope2D","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope3D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope3D","title":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope3D","text":"Plot polytope (bounded convex set) linear mathematical program","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope3D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope3D","text":"","code":"plotPolytope3D(   A,   b,   obj = NULL,   type = rep(\"c\", ncol(A)),   nonneg = rep(TRUE, ncol(A)),   crit = \"max\",   faces = rep(\"c\", ncol(A)),   plotFaces = TRUE,   plotFeasible = TRUE,   plotOptimum = FALSE,   latex = FALSE,   labels = NULL,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope3D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope3D","text":"constraint matrix. b Right hand side. obj vector objective coefficients. type character vector length number variables. entry k '' variable \\(k\\) must integer 'c' continuous. nonneg boolean vector length number variables. entry k TRUE variable k must non-negative. crit Either max min (used add iso-profit line) faces character vector length number variables. entry k '' variable \\(k\\) must integer 'c' continuous. Useful e.g. want show linear relaxation IP. plotFaces True plot faces. plotFeasible True plot feasible points/segments (relevant ILP/MILP). plotOptimum Show optimum corner solution point (alternative solutions one shown) add iso-profit line. latex True make latex math labels TikZ. labels NULL add labels. 'n' labels show points. equal coord add coordinates points. Otherwise number points one. ... arguments passed RGL plotting functions. must done lists. Currently following arguments supported: argsAxes3d: list arguments rgl::axes3d. argsPlot3d: list arguments rgl::plot3d open RGL window. argsTitle3d: list arguments rgl::title3d. argsFaces: list arguments plotHull3D. argsFeasible: list arguments RGL functions: points3d: list arguments rgl::points3d. segments3d: list arguments rgl::segments3d. triangles3d: list arguments rgl::triangles3d. argsLabels: list arguments RGL functions: points3d: list arguments rgl::points3d. text3d: list arguments rgl::text3d. argsOptimum: list arguments RGL functions: points3d: list arguments rgl::points3d.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope3D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope3D","text":"RGL window 3D plot.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope3D.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope3D","text":"general use plotPolytope() instead function. feasible region defined constraints must bounded otherwise may see strange results.","code":""},{"path":[]},{"path":"http://relund.github.io/gMOIP/reference/plotPolytope3D.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Plot the polytope (bounded convex set) of a linear mathematical program — plotPolytope3D","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotRectangle3D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot a rectangle defined by two corner points. — plotRectangle3D","title":"Plot a rectangle defined by two corner points. — plotRectangle3D","text":"rectangle defined {x|<= x <= b} minimum values b maximum values.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotRectangle3D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot a rectangle defined by two corner points. — plotRectangle3D","text":"","code":"plotRectangle3D(a, b, ...)"},{"path":"http://relund.github.io/gMOIP/reference/plotRectangle3D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot a rectangle defined by two corner points. — plotRectangle3D","text":"vector length 3. b vector length 3. ... arguments passed RGL plotting functions. must done lists (see examples). Currently following arguments supported: argsPlot3d: list arguments rgl::plot3d. argsSegments3d: list arguments rgl::segments3d. argsPolygon3d: list arguments rgl::polygon3d. argsShade3d: list arguments rgl::shade3d.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotRectangle3D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot a rectangle defined by two corner points. — plotRectangle3D","text":"Object ids (invisible).","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotRectangle3D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Plot a rectangle defined by two corner points. — plotRectangle3D","text":"3D plot","code":"# \\donttest{ ini3D() plotRectangle3D(c(0,0,0), c(1,1,1)) plotRectangle3D(c(1,1,1), c(4,4,3), drawPoints = TRUE, drawLines = FALSE,            argsPlot3d = list(size=2, type=\"s\", alpha=0.3)) ids <- plotRectangle3D(c(2,2,2), c(3,3,2.5), argsPolygon3d = list(alpha = 1) ) finalize3D() 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}# pop3d(id = ids) remove last object # }"},{"path":"http://relund.github.io/gMOIP/reference/plotTeX3D.html","id":null,"dir":"Reference","previous_headings":"","what":"Plot TeX at a position. — plotTeX3D","title":"Plot TeX at a position. — plotTeX3D","text":"Plot TeX position.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotTeX3D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Plot TeX at a position. — plotTeX3D","text":"","code":"plotTeX3D(   x,   y,   z,   tex,   cex = graphics::par(\"cex\"),   fixedSize = FALSE,   size = 480,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/plotTeX3D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Plot TeX at a position. — plotTeX3D","text":"x Coordinate. y Coordinate. z Coordinate. tex TeX string. cex Expansion factor (properly fine tune ). fixedSize Fix size object (scaling zoom). size Size generated png. ... Arguments passed rgl::sprites3d() texToPng().","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotTeX3D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Plot TeX at a position. — plotTeX3D","text":"shape ID displayed object returned.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotTeX3D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Plot TeX at a position. — plotTeX3D","text":"","code":"if (FALSE) { tex0 <- \"$\\\\mathbb{R}_{\\\\geqq}$\" tex1 <- \"\\\\LaTeX\" tex2 <- \"This is a title\" ini3D(argsPlot3d = list(xlim = c(0, 2), ylim = c(0, 2), zlim = c(0, 2))) plotTeX3D(0.75,0.75,0.75, tex0) plotTeX3D(0.5,0.5,0.5, tex0, cex = 2) plotTeX3D(1,1,1, tex2) finalize3D() ini3D(new = TRUE, argsPlot3d = list(xlim = c(0, 200), ylim = c(0, 200), zlim = c(0, 200))) plotTeX3D(75,75,75, tex0) plotTeX3D(50,50,50, tex1) plotTeX3D(100,100,100, tex2) finalize3D() }"},{"path":"http://relund.github.io/gMOIP/reference/plotTitleTeX3D.html","id":null,"dir":"Reference","previous_headings":"","what":"Draw boxes, axes and other text outside the data using TeX strings. — plotTitleTeX3D","title":"Draw boxes, axes and other text outside the data using TeX strings. — plotTitleTeX3D","text":"Draw boxes, axes text outside data using TeX strings.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotTitleTeX3D.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Draw boxes, axes and other text outside the data using TeX strings. — plotTitleTeX3D","text":"","code":"plotTitleTeX3D(   main = NULL,   sub = NULL,   xlab = NULL,   ylab = NULL,   zlab = NULL,   line = NA,   ... )"},{"path":"http://relund.github.io/gMOIP/reference/plotTitleTeX3D.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Draw boxes, axes and other text outside the data using TeX strings. — plotTitleTeX3D","text":"main main title plot. sub subtitle plot. xlab axis labels plot . ylab axis labels plot . zlab axis labels plot . line ``line'' plot margin draw label . ... Additional parameters passed plotMTeX3D.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotTitleTeX3D.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Draw boxes, axes and other text outside the data using TeX strings. — plotTitleTeX3D","text":"object IDs objects added scene.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotTitleTeX3D.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Draw boxes, axes and other text outside the data using TeX strings. — plotTitleTeX3D","text":"rectangular prism holding 3D plot 12 edges.  identified using 3 character strings.  first character (x', y', z') selects direction axis.  next two characters -' +', selecting lower upper end one coordinates.  one two characters given, remaining characters default -'. example edge = 'x+' draws x-axis high level y low level z. default, axes3d uses bbox3d function draw axes. labels move obscure data.  Alternatively, vector arguments described may used, case fixed axes drawn using axis3d. pos numeric vector length 3, edge determines direction axis tick marks, values two coordinates pos determine position.  See examples.","code":""},{"path":"http://relund.github.io/gMOIP/reference/plotTitleTeX3D.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Draw boxes, axes and other text outside the data using TeX strings. — plotTitleTeX3D","text":"","code":"if (FALSE) { ini3D(argsPlot3d = list(xlim = c(0, 2), ylim = c(0, 2), zlim = c(0, 2))) plotTitleTeX3D(main = \"\\\\LaTeX\", sub = \"subtitle $\\\\alpha$\",                xlab = \"$x^1_2$\", ylab = \"$\\\\beta$\", zlab = \"$x\\\\cdot y$\") finalize3D() }"},{"path":"http://relund.github.io/gMOIP/reference/pngSize.html","id":null,"dir":"Reference","previous_headings":"","what":"To size of the png file. — pngSize","title":"To size of the png file. — pngSize","text":"size png file.","code":""},{"path":"http://relund.github.io/gMOIP/reference/pngSize.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"To size of the png file. — pngSize","text":"","code":"pngSize(png)"},{"path":"http://relund.github.io/gMOIP/reference/pngSize.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"To size of the png file. — pngSize","text":"png Png file name.","code":""},{"path":"http://relund.github.io/gMOIP/reference/pngSize.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"To size of the png file. — pngSize","text":"list width height.","code":""},{"path":"http://relund.github.io/gMOIP/reference/saveView.html","id":null,"dir":"Reference","previous_headings":"","what":"Help function to save the view angle for the RGL 3D plot — saveView","title":"Help function to save the view angle for the RGL 3D plot — saveView","text":"Help function save view angle RGL 3D plot","code":""},{"path":"http://relund.github.io/gMOIP/reference/saveView.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Help function to save the view angle for the RGL 3D plot — saveView","text":"","code":"saveView(fname = \"view.RData\", overwrite = FALSE, print = FALSE)"},{"path":"http://relund.github.io/gMOIP/reference/saveView.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Help function to save the view angle for the RGL 3D plot — saveView","text":"fname file name view. overwrite Overwrite existing file. print Print view can copied R code (file saved).","code":""},{"path":"http://relund.github.io/gMOIP/reference/saveView.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Help function to save the view angle for the RGL 3D plot — saveView","text":"NULL (invisible).","code":""},{"path":"http://relund.github.io/gMOIP/reference/saveView.html","id":"note","dir":"Reference","previous_headings":"","what":"Note","title":"Help function to save the view angle for the RGL 3D plot — saveView","text":"save file name exists.","code":""},{"path":"http://relund.github.io/gMOIP/reference/saveView.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Help function to save the view angle for the RGL 3D plot — saveView","text":"Lars Relund lars@relund.dk","code":""},{"path":"http://relund.github.io/gMOIP/reference/saveView.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Help function to save the view angle for the RGL 3D plot — saveView","text":"3D plot 3D plot","code":"# \\donttest{ view <- matrix( c(-0.412063330411911, -0.228006735444069, 0.882166087627411, 0, 0.910147845745087, -0.0574885793030262, 0.410274744033813, 0, -0.042830865830183, 0.97196090221405, 0.231208890676498, 0, 0, 0, 0, 1), nc = 4)  loadView(v = view) 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]}A <- matrix( c(3, 2, 5, 2, 1, 1, 1, 1, 3, 5, 2, 4), nc = 3, byrow = TRUE) b <- c(55, 26, 30, 57) obj <- c(20, 10, 15) plotPolytope(A, b, plotOptimum = TRUE, obj = obj, labels = \"coord\") 3D plot  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2 1\\n// File 1 is the vertex shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\n\\nattribute vec3 aPos;\\nattribute vec4 aCol;\\nuniform mat4 mvMatrix;\\nuniform mat4 prMatrix;\\nvarying vec4 vCol;\\nvarying vec4 vPosition;\\n\\n#ifdef NEEDS_VNORMAL\\nattribute vec3 aNorm;\\nuniform mat4 normMatrix;\\nvarying vec4 vNormal;\\n#endif\\n\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nattribute vec2 aTexcoord;\\nvarying vec2 vTexcoord;\\n#endif\\n\\n#ifdef FIXED_SIZE\\nuniform vec3 textScale;\\n#endif\\n\\n#ifdef FIXED_QUADS\\nattribute vec3 aOfs;\\n#endif\\n\\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\nvarying float normz;\\nuniform mat4 invPrMatrix;\\n#else\\nattribute vec3 aPos1;\\nattribute vec3 aPos2;\\nvarying float normz;\\n#endif\\n#endif // IS_TWOSIDED\\n\\n#ifdef FAT_LINES\\nattribute vec3 aNext;\\nattribute vec2 aPoint;\\nvarying vec2 vPoint;\\nvarying float vLength;\\nuniform float uAspect;\\nuniform float uLwd;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  \\n#ifndef IS_BRUSH\\n#if defined(NCLIPPLANES) || !defined(FIXED_QUADS) || defined(HAS_FOG) || defined(USE_ENVMAP)\\n  vPosition = mvMatrix * vec4(aPos, 1.);\\n#endif\\n  \\n#ifndef FIXED_QUADS\\n  gl_Position = prMatrix * vPosition;\\n#endif\\n#endif // !IS_BRUSH\\n  \\n#ifdef IS_POINTS\\n  gl_PointSize = POINTSIZE;\\n#endif\\n  \\n  vCol = aCol;\\n  \\n// USE_ENVMAP implies NEEDS_VNORMAL\\n\\n#ifdef NEEDS_VNORMAL\\n  vNormal = normMatrix * vec4(-aNorm, dot(aNorm, aPos));\\n#endif\\n\\n#ifdef USE_ENVMAP\\n  vReflection = normalize(reflect(vPosition.xyz/vPosition.w, \\n                        normalize(vNormal.xyz/vNormal.w)));\\n#endif\\n  \\n#ifdef IS_TWOSIDED\\n#ifdef HAS_NORMALS\\n  /* normz should be calculated *after* projection */\\n  normz = (invPrMatrix*vNormal).z;\\n#else\\n  vec4 pos1 = prMatrix*(mvMatrix*vec4(aPos1, 1.));\\n  pos1 = pos1/pos1.w - gl_Position/gl_Position.w;\\n  vec4 pos2 = prMatrix*(mvMatrix*vec4(aPos2, 1.));\\n  pos2 = pos2/pos2.w - gl_Position/gl_Position.w;\\n  normz = pos1.x*pos2.y - pos1.y*pos2.x;\\n#endif\\n#endif // IS_TWOSIDED\\n  \\n#ifdef NEEDS_VNORMAL\\n  vNormal = vec4(normalize(vNormal.xyz/vNormal.w), 1);\\n#endif\\n  \\n#if defined(HAS_TEXTURE) || defined(IS_TEXT)\\n  vTexcoord = aTexcoord;\\n#endif\\n  \\n#if defined(FIXED_SIZE) && !defined(ROTATING)\\n  vec4 pos = prMatrix * mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w;\\n  gl_Position = pos + vec4(aOfs*textScale, 0.);\\n#endif\\n  \\n#if defined(IS_SPRITES) && !defined(FIXED_SIZE)\\n  vec4 pos = mvMatrix * vec4(aPos, 1.);\\n  pos = pos/pos.w + vec4(aOfs,  0.);\\n  gl_Position = prMatrix*pos;\\n#endif\\n  \\n#ifdef FAT_LINES\\n  /* This code was inspired by Matt Deslauriers' code in \\n   https://mattdesl.svbtle.com/drawing-lines-is-hard */\\n  vec2 aspectVec = vec2(uAspect, 1.0);\\n  mat4 projViewModel = prMatrix * mvMatrix;\\n  vec4 currentProjected = projViewModel * vec4(aPos, 1.0);\\n  currentProjected = currentProjected/currentProjected.w;\\n  vec4 nextProjected = projViewModel * vec4(aNext, 1.0);\\n  vec2 currentScreen = currentProjected.xy * aspectVec;\\n  vec2 nextScreen = (nextProjected.xy / nextProjected.w) * aspectVec;\\n  float len = uLwd;\\n  vec2 dir = vec2(1.0, 0.0);\\n  vPoint = aPoint;\\n  vLength = length(nextScreen - currentScreen)/2.0;\\n  vLength = vLength/(vLength + len);\\n  if (vLength > 0.0) {\\n    dir = normalize(nextScreen - currentScreen);\\n  }\\n  vec2 normal = vec2(-dir.y, dir.x);\\n  dir.x /= uAspect;\\n  normal.x /= uAspect;\\n  vec4 offset = vec4(len*(normal*aPoint.x*aPoint.y - dir), 0.0, 0.0);\\n  gl_Position = currentProjected + offset;\\n#endif\\n  \\n#ifdef IS_BRUSH\\n  gl_Position = vec4(aPos, 1.);\\n#endif\\n}\",\"fragmentShader\":\"#line 2 2\\n// File 2 is the fragment shader\\n#ifdef GL_ES\\n#ifdef GL_FRAGMENT_PRECISION_HIGH\\nprecision highp float;\\n#else\\nprecision mediump float;\\n#endif\\n#endif\\nvarying vec4 vCol; // carries alpha\\nvarying vec4 vPosition;\\n#if defined(HAS_TEXTURE) || defined (IS_TEXT)\\nvarying vec2 vTexcoord;\\nuniform sampler2D uSampler;\\n#endif\\n\\n#ifdef HAS_FOG\\nuniform int uFogMode;\\nuniform vec3 uFogColor;\\nuniform vec4 uFogParms;\\n#endif\\n\\n#if defined(IS_LIT) && !defined(FIXED_QUADS)\\nvarying vec4 vNormal;\\n#endif\\n\\n#if NCLIPPLANES > 0\\nuniform vec4 vClipplane[NCLIPPLANES];\\n#endif\\n\\n#if NLIGHTS > 0\\nuniform mat4 mvMatrix;\\n#endif\\n\\n#ifdef IS_LIT\\nuniform vec3 emission;\\nuniform float shininess;\\n#if NLIGHTS > 0\\nuniform vec3 ambient[NLIGHTS];\\nuniform vec3 specular[NLIGHTS]; // light*material\\nuniform vec3 diffuse[NLIGHTS];\\nuniform vec3 lightDir[NLIGHTS];\\nuniform bool viewpoint[NLIGHTS];\\nuniform bool finite[NLIGHTS];\\n#endif\\n#endif // IS_LIT\\n\\n#ifdef IS_TWOSIDED\\nuniform bool front;\\nvarying float normz;\\n#endif\\n\\n#ifdef FAT_LINES\\nvarying vec2 vPoint;\\nvarying float vLength;\\n#endif\\n\\n#ifdef USE_ENVMAP\\nvarying vec3 vReflection;\\n#endif\\n\\nvoid main(void) {\\n  vec4 fragColor;\\n#ifdef FAT_LINES\\n  vec2 point = vPoint;\\n  bool neg = point.y < 0.0;\\n  point.y = neg ? (point.y + vLength)/(1.0 - vLength) :\\n                 -(point.y - vLength)/(1.0 - vLength);\\n#if defined(IS_TRANSPARENT) && defined(IS_LINESTRIP)\\n  if (neg && length(point) <= 1.0) discard;\\n#endif\\n  point.y = min(point.y, 0.0);\\n  if (length(point) > 1.0) discard;\\n#endif // FAT_LINES\\n  \\n#ifdef ROUND_POINTS\\n  vec2 coord = gl_PointCoord - vec2(0.5);\\n  if (length(coord) > 0.5) discard;\\n#endif\\n  \\n#if NCLIPPLANES > 0\\n  for (int i = 0; i < NCLIPPLANES; i++)\\n    if (dot(vPosition, vClipplane[i]) < 0.0) discard;\\n#endif\\n    \\n#ifdef FIXED_QUADS\\n    vec3 n = vec3(0., 0., 1.);\\n#elif defined(IS_LIT)\\n    vec3 n = normalize(vNormal.xyz);\\n#endif\\n    \\n#ifdef IS_TWOSIDED\\n    if ((normz <= 0.) != front) discard;\\n#endif\\n\\n#ifdef IS_LIT\\n    vec3 eye = normalize(-vPosition.xyz/vPosition.w);\\n    vec3 lightdir;\\n    vec4 colDiff;\\n    vec3 halfVec;\\n    vec4 lighteffect = vec4(emission, 0.);\\n    vec3 col;\\n    float nDotL;\\n#ifdef FIXED_QUADS\\n    n = -faceforward(n, n, eye);\\n#endif\\n    \\n#if NLIGHTS > 0\\n    for (int i=0;i<NLIGHTS;i++) {\\n      colDiff = vec4(vCol.rgb * diffuse[i], vCol.a);\\n      lightdir = lightDir[i];\\n      if (!viewpoint[i])\\n        lightdir = (mvMatrix * vec4(lightdir, 1.)).xyz;\\n      if (!finite[i]) {\\n        halfVec = normalize(lightdir + eye);\\n      } else {\\n        lightdir = normalize(lightdir - vPosition.xyz/vPosition.w);\\n        halfVec = normalize(lightdir + eye);\\n      }\\n      col = ambient[i];\\n      nDotL = dot(n, lightdir);\\n      col = col + max(nDotL, 0.) * colDiff.rgb;\\n      col = col + pow(max(dot(halfVec, n), 0.), shininess) * specular[i];\\n      lighteffect = lighteffect + vec4(col, colDiff.a);\\n    }\\n#endif\\n    \\n#else // not IS_LIT\\n    vec4 colDiff = vCol;\\n    vec4 lighteffect = colDiff;\\n#endif\\n    \\n#ifdef IS_TEXT\\n    vec4 textureColor = lighteffect*texture2D(uSampler, vTexcoord);\\n#endif\\n    \\n#ifdef HAS_TEXTURE\\n\\n// These calculations use the definitions from \\n// https://docs.gl/gl3/glTexEnv\\n\\n#ifdef USE_ENVMAP\\n    float m = 2.0 * sqrt(dot(vReflection, vReflection) + 2.0*vReflection.z + 1.0);\\n    vec4 textureColor = texture2D(uSampler, vReflection.xy / m + vec2(0.5, 0.5));\\n#else\\n    vec4 textureColor = texture2D(uSampler, vTexcoord);\\n#endif\\n\\n#ifdef TEXTURE_rgb\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(textureColor.rgb, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*vec4(textureColor.rgb, 1.);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb, lighteffect.a);\\n#endif\\n\\n#endif //TEXTURE_rgb\\n        \\n#ifdef TEXTURE_rgba\\n\\n#ifdef TEXMODE_replace\\n// already done\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = lighteffect*textureColor;\\n#endif\\n\\n#ifdef TEXMODE_decal\\n    textureColor = vec4((1. - textureColor.a)*lighteffect.rgb) +\\n                     textureColor.a*textureColor.rgb, \\n                     lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - textureColor.rgb) * lighteffect.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(lighteffect.rgb + textureColor.rgb,\\n                    lighteffect.a*textureColor.a);\\n#endif\\n    \\n#endif //TEXTURE_rgba\\n    \\n#ifdef TEXTURE_alpha\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(lighteffect.rgb, textureColor.a);\\n#endif \\n\\n#if defined(TEXMODE_modulate) || defined(TEXMODE_blend) || defined(TEXMODE_add)\\n    textureColor = vec4(lighteffect.rgb, lighteffect.a*textureColor.a);\\n#endif\\n \\n#endif\\n    \\n// The TEXTURE_luminance values are not from that reference    \\n#ifdef TEXTURE_luminance\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, lighteffect.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, lighteffect.a);\\n#endif\\n\\n#endif // TEXTURE_luminance\\n \\n    \\n#ifdef TEXTURE_luminance_alpha\\n    float luminance = dot(vec3(1.,1.,1.),textureColor.rgb)/3.;\\n\\n#if defined(TEXMODE_replace) || defined(TEXMODE_decal)\\n    textureColor = vec4(luminance, luminance, luminance, textureColor.a);\\n#endif \\n\\n#ifdef TEXMODE_modulate\\n    textureColor = vec4(luminance*lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_blend\\n    textureColor = vec4((1. - luminance)*lighteffect.rgb,\\n                        textureColor.a*lighteffect.a);\\n#endif\\n\\n#ifdef TEXMODE_add\\n    textureColor = vec4(luminance + lighteffect.rgb, \\n                        textureColor.a*lighteffect.a);\\n\\n#endif\\n\\n#endif // TEXTURE_luminance_alpha\\n    \\n    fragColor = textureColor;\\n\\n#elif defined(IS_TEXT)\\n    if (textureColor.a < 0.1)\\n      discard;\\n    else\\n      fragColor = textureColor;\\n#else\\n    fragColor = lighteffect;\\n#endif // HAS_TEXTURE\\n    \\n#ifdef HAS_FOG\\n    // uFogParms elements: x = near, y = far, z = fogscale, w = (1-sin(FOV/2))/(1+sin(FOV/2))\\n    // In Exp and Exp2: use density = density/far\\n    // fogF will be the proportion of fog\\n    // Initialize it to the linear value\\n    float fogF;\\n    if (uFogMode > 0) {\\n      fogF = (uFogParms.y - vPosition.z/vPosition.w)/(uFogParms.y - uFogParms.x);\\n      if (uFogMode > 1)\\n        fogF = mix(uFogParms.w, 1.0, fogF);\\n      fogF = fogF*uFogParms.z;\\n      if (uFogMode == 2)\\n        fogF = 1.0 - exp(-fogF);\\n      // Docs are wrong: use (density*c)^2, not density*c^2\\n      // https://gitlab.freedesktop.org/mesa/mesa/-/blob/master/src/mesa/swrast/s_fog.c#L58\\n      else if (uFogMode == 3)\\n        fogF = 1.0 - exp(-fogF*fogF);\\n      fogF = clamp(fogF, 0.0, 1.0);\\n      gl_FragColor = vec4(mix(fragColor.rgb, uFogColor, fogF), fragColor.a);\\n    } else gl_FragColor = fragColor;\\n#else\\n    gl_FragColor = fragColor;\\n#endif // HAS_FOG\\n    \\n}\",\"players\":[],\"webGLoptions\":{\"preserveDrawingBuffer\":true}},\"evals\":[],\"jsHooks\":[]} # Try to modify the angle in the RGL window saveView(print = TRUE)  # get the view angle to insert into R code #> view <- matrix( c(-0.412063330411911, -0.228006735444069, 0.882166087627411, 0, 0.910147845745087, -0.0574885793030262, 0.410274744033813, 0, -0.042830865830183, 0.97196090221405, 0.231208890676498, 0, 0, 0, 0, 1), nc = 4) # }"},{"path":"http://relund.github.io/gMOIP/reference/slices.html","id":null,"dir":"Reference","previous_headings":"","what":"Find all corner points in the slices define for each fixed integer combination. — slices","title":"Find all corner points in the slices define for each fixed integer combination. — slices","text":"Find corner points slices define fixed integer combination.","code":""},{"path":"http://relund.github.io/gMOIP/reference/slices.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Find all corner points in the slices define for each fixed integer combination. — slices","text":"","code":"slices(   A,   b,   type = rep(\"c\", ncol(A)),   nonneg = rep(TRUE, ncol(A)),   collapse = FALSE )"},{"path":"http://relund.github.io/gMOIP/reference/slices.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Find all corner points in the slices define for each fixed integer combination. — slices","text":"constraint matrix. b Right hand side. type character vector length number variables. entry k '' variable \\(k\\) must integer 'c' continuous. nonneg boolean vector length number variables. entry k TRUE variable k must non-negative. collapse Collapse list data frame unique points.","code":""},{"path":"http://relund.github.io/gMOIP/reference/slices.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Find all corner points in the slices define for each fixed integer combination. — slices","text":"list corner points (one entry slice).","code":""},{"path":"http://relund.github.io/gMOIP/reference/slices.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Find all corner points in the slices define for each fixed integer combination. — slices","text":"","code":"A <- matrix( c(3, -2, 1,2, 4, -2,-3, 2, 1), nc = 3, byrow = TRUE) b <- c(10,12,3) slices(A, b, type=c(\"i\",\"c\",\"i\")) #> [[1]] #>      x1  x2 x3 #> [1,]  0 1.5  0 #> [2,]  0 0.0  0 #>  #> [[2]] #>      x1  x2 x3 #> [1,]  1 2.5  0 #> [2,]  1 0.0  0 #>  #> [[3]] #>      x1 x2 x3 #> [1,]  2  2  0 #> [2,]  2  0  0 #>  #> [[4]] #>      x1  x2 x3 #> [1,]  3 1.5  0 #> [2,]  3 0.0  0 #>  #> [[5]] #>      x1 x2 x3 #> [1,]  4  1  0 #> [2,]  4  1  0 #>  #> [[6]] #>                x1 x2 x3 #> [1,] 1.480297e-16  1  1 #> [2,] 0.000000e+00  0  1 #>  #> [[7]] #>      x1  x2 x3 #> [1,]  1 2.5  1 #> [2,]  1 0.0  1 #>  #> [[8]] #>      x1  x2 x3 #> [1,]  2 2.5  1 #> [2,]  2 0.0  1 #>  #> [[9]] #>      x1           x2 x3 #> [1,]  3 4.163336e-16  1 #> [2,]  3 2.000000e+00  1 #> [3,]  3 0.000000e+00  1 #>  #> [[10]] #>      x1  x2 x3 #> [1,]  4 1.5  1 #> [2,]  4 1.5  1 #>  #> [[11]] #>                x1  x2 x3 #> [1,] 7.401487e-17 0.5  2 #> [2,] 0.000000e+00 0.0  2 #>  #> [[12]] #>      x1 x2 x3 #> [1,]  1  2  2 #> [2,]  1  0  2 #>  #> [[13]] #>      x1 x2 x3 #> [1,]  2  3  2 #> [2,]  2  0  2 #>  #> [[14]] #>      x1  x2 x3 #> [1,]  3 0.5  2 #> [2,]  3 2.5  2 #>  #> [[15]] #>      x1 x2 x3 #> [1,]  4  2  2 #> [2,]  4  2  2 #>  #> [[16]] #>      x1 x2 x3 #> [1,]  0  0  3 #>  #> [[17]] #>      x1  x2 x3 #> [1,]  1 1.5  3 #> [2,]  1 0.0  3 #>  #> [[18]] #>      x1 x2 x3 #> [1,]  2  3  3 #> [2,]  2  0  3 #>  #> [[19]] #>      x1 x2 x3 #> [1,]  3  1  3 #> [2,]  3  3  3 #>  #> [[20]] #>      x1  x2 x3 #> [1,]  4 2.5  3 #> [2,]  4 2.5  3 #>  #> [[21]] #>      x1 x2 x3 #> [1,]  1  1  4 #> [2,]  1  0  4 #>  #> [[22]] #>      x1           x2 x3 #> [1,]  2 3.330669e-16  4 #> [2,]  2 2.500000e+00  4 #> [3,]  2 0.000000e+00  4 #>  #> [[23]] #>      x1  x2 x3 #> [1,]  3 1.5  4 #> [2,]  3 3.5  4 #>  #> [[24]] #>      x1 x2 x3 #> [1,]  4  3  4 #>  #> [[25]] #>      x1  x2 x3 #> [1,]  1 0.5  5 #> [2,]  1 0.0  5 #>  #> [[26]] #>      x1  x2 x3 #> [1,]  2 0.5  5 #> [2,]  2 2.0  5 #>  #> [[27]] #>      x1  x2 x3 #> [1,]  3 2.0  5 #> [2,]  3 3.5  5 #>  #> [[28]] #>      x1  x2 x3 #> [1,]  4 3.5  5 #> [2,]  4 3.5  5 #>  #> [[29]] #>      x1 x2 x3 #> [1,]  1  0  6 #>  #> [[30]] #>      x1  x2 x3 #> [1,]  2 1.0  6 #> [2,]  2 1.5  6 #>  #> [[31]] #>      x1  x2 x3 #> [1,]  3 2.5  6 #> [2,]  3 3.0  6 #>  #> [[32]] #>      x1 x2 x3 #> [1,]  4  4  6 #> [2,]  4  4  6 #>   A <- matrix(c(9,10,2,4,-3,2), ncol = 2, byrow = TRUE) b <- c(90,27,3) slices(A, b, type=c(\"c\",\"i\"), collapse = TRUE) #>               x1 x2 #>  [1,] 10.0000000  0 #>  [2,]  0.0000000  0 #>  [3,]  8.8888889  1 #>  [4,]  0.0000000  1 #>  [5,]  7.7777778  2 #>  [6,]  0.3333333  2 #>  [7,]  6.6666667  3 #>  [8,]  1.0000000  3 #>  [9,]  5.5000000  4 #> [10,]  1.6666667  4 #> [11,]  3.5000000  5 #> [12,]  2.3333333  5"},{"path":"http://relund.github.io/gMOIP/reference/texToPng.html","id":null,"dir":"Reference","previous_headings":"","what":"Convert LaTeX to a png file — texToPng","title":"Convert LaTeX to a png file — texToPng","text":"Convert LaTeX png file","code":""},{"path":"http://relund.github.io/gMOIP/reference/texToPng.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Convert LaTeX to a png file — texToPng","text":"","code":"texToPng(   tex,   width = NULL,   height = NULL,   dpi = 72,   viewPng = FALSE,   fontsize = 12,   calcM = FALSE,   crop = FALSE )"},{"path":"http://relund.github.io/gMOIP/reference/texToPng.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Convert LaTeX to a png file — texToPng","text":"tex TeX string. Remember escape backslash \\. width Width png. height Height png (width ignored). dpi Dpi png. used width height specified. viewPng View result plots window. fontsize Front size used LaTeX document. calcM Estimate 1 em pixels resulting png. crop Call command line program pdfcrop (must installed).","code":""},{"path":"http://relund.github.io/gMOIP/reference/texToPng.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Convert LaTeX to a png file — texToPng","text":"filename png list calcM = TRUE.","code":""},{"path":"http://relund.github.io/gMOIP/reference/texToPng.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Convert LaTeX to a png file — texToPng","text":"","code":"if (FALSE) { tex <- \"$\\\\mathbb{R}_{\\\\geqq}$\" texToPng(tex, viewPng = TRUE) texToPng(tex, fontsize = 20, viewPng = TRUE) texToPng(tex, height = 50, fontsize = 10, viewPng = TRUE) texToPng(tex, height = 50, fontsize = 50, viewPng = TRUE) tex <- \"MMM\" texToPng(tex, dpi=72, calcM = TRUE) texToPng(tex, width = 100, calcM = TRUE) f <- texToPng(tex, dpi=300) pngSize(f) }"},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-151","dir":"Changelog","previous_headings":"","what":"gMOIP 1.5.1","title":"gMOIP 1.5.1","text":"Updated filtering algorithm nondominated sets.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-150","dir":"Changelog","previous_headings":"","what":"gMOIP 1.5.0","title":"gMOIP 1.5.0","text":"CRAN release: 2023-05-26 Fix bug concerning degeneration. Added function plotLines2D plotting lines Ax = b.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-149","dir":"Changelog","previous_headings":"","what":"gMOIP 1.4.9","title":"gMOIP 1.4.9","text":"CRAN release: 2023-02-15 Remove tidyverse dependence instead depend packages tidyverse actually used.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-148","dir":"Changelog","previous_headings":"","what":"gMOIP 1.4.8","title":"gMOIP 1.4.8","text":"CRAN release: 2023-01-26 Change rgl.* *3d functions. Fixed bugs due dependent package updates.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-147","dir":"Changelog","previous_headings":"","what":"gMOIP 1.4.7","title":"gMOIP 1.4.7","text":"CRAN release: 2021-08-23 Fixed errors pandoc missing added webshot2.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-146","dir":"Changelog","previous_headings":"","what":"gMOIP 1.4.6","title":"gMOIP 1.4.6","text":"CRAN release: 2021-01-19 Added support plotting rectangles, points, planes, hulls 3D. vignettes added.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-145","dir":"Changelog","previous_headings":"","what":"gMOIP 1.4.5","title":"gMOIP 1.4.5","text":"Added support plotting rectangles, points, planes, hulls 2D.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-144","dir":"Changelog","previous_headings":"","what":"gMOIP 1.4.4","title":"gMOIP 1.4.4","text":"Added support adding non-dominated sets (add/update).","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-143","dir":"Changelog","previous_headings":"","what":"gMOIP 1.4.3","title":"gMOIP 1.4.3","text":"CRAN release: 2020-02-20 Added support rays different directions.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-142","dir":"Changelog","previous_headings":"","what":"gMOIP 1.4.2","title":"gMOIP 1.4.2","text":"Classification nondominated points.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-140","dir":"Changelog","previous_headings":"","what":"gMOIP 1.4.0","title":"gMOIP 1.4.0","text":"Added support plotting rectangles, points, planes, hulls 3D. Nondominated points 3D can now generated.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-130","dir":"Changelog","previous_headings":"","what":"gMOIP 1.3.0","title":"gMOIP 1.3.0","text":"CRAN release: 2019-08-05 Added support 3D plots using RGL. Added high level functions plotting. Can plot criterion space bi-objective models.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-120","dir":"Changelog","previous_headings":"","what":"gMOIP 1.2.0","title":"gMOIP 1.2.0","text":"Added support MILP problems .","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-111","dir":"Changelog","previous_headings":"","what":"gMOIP 1.1.1","title":"gMOIP 1.1.1","text":"Fixed bug cornerPoints.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-110","dir":"Changelog","previous_headings":"","what":"gMOIP 1.1.0","title":"gMOIP 1.1.0","text":"CRAN release: 2017-02-20 Removed dependency lpSolveAPI (seems bit overkill). Now need specify , b coefficient.","code":""},{"path":"http://relund.github.io/gMOIP/news/index.html","id":"gmoip-100","dir":"Changelog","previous_headings":"","what":"gMOIP 1.0.0","title":"gMOIP 1.0.0","text":"CRAN release: 2017-01-23 First version package","code":""}]