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1 Ordinary Differential Equations

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1 Ordinary Differential Equations







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1 Ordinary Differential Equations

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1 Ordinary Differential Equations

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1 Ordinary Differential Equations

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1 Ordinary Differential Equations


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1 Ordinary Differential Equations



+
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1 Ordinary Differential Equations

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1.8 Simple Harmonic Motion and Damped Oscillations

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+
+ diff --git a/math1052/lecture-11.html b/math1052/lecture-11.html index 411b255b4..4c6cd3391 100644 --- a/math1052/lecture-11.html +++ b/math1052/lecture-11.html @@ -746,8 +746,8 @@

1 Ordinary Differential Equations

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1 Ordinary Differential Equations

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1 Ordinary Differential Equations

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diff --git a/math1052/p1.html b/math1052/p1.html index 12914b415..079aa291f 100644 --- a/math1052/p1.html +++ b/math1052/p1.html @@ -72,17 +72,18 @@

Mult. Calc. & Ordinary Differential Equations

L6 Applications ODEs
- L7 Solns 1st-Or. ODEs
- L8 2nd-Or. ODEs
- L9 Hom. 2nd-Or. ODEs
+ L7 Solns 1stOrd ODEs
+ L8 2ndOrd ODEs
+ L9 Hom 2ndOrd ODEs
- L10 Sim. Harm. motion 1
- L11 Sim. Harm. motion 2
- L12 Pendulum &
        Inhom. 2nd-Or. ODEs
+ L10 Simp Harm motion 1
+ L11 Simp Harm motion 2
+ L12 Pendulum &
        + Inhom 2ndOrd ODEs
- L13 Inhom. 2nd-Or. ODEs
+ L13 Inhom 2ndOrd ODEs
L14 Energy principle
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        '),this.dummyDOM.querySelector(a)?this.dummyDOM.querySelector(a).insertAdjacentHTML("afterend",o):this.dummyDOM.querySelector("#".concat(n)).innerHTML=o,this._accessibleOutputs[r].map=this.dummyDOM.querySelector("#".concat(r,"_map"))),this._accessibleOutputs[r].shapeDetails=this.dummyDOM.querySelector("#".concat(r,"_shapeDetails")),this._accessibleOutputs[r].summary=this.dummyDOM.querySelector("#".concat(r,"_summary"))},o.default.prototype._updateAccsOutput=function(){var e=this.canvas.id;JSON.stringify(this.ingredients.shapes)!==this.ingredients.pShapes&&(this.ingredients.pShapes=JSON.stringify(this.ingredients.shapes),this._accessibleOutputs.text&&this._updateTextOutput(e+"textOutput"),this._accessibleOutputs.grid&&this._updateGridOutput(e+"gridOutput"),this._accessibleOutputs.textLabel&&this._updateTextOutput(e+"textOutputLabel"),this._accessibleOutputs.gridLabel&&this._updateGridOutput(e+"gridOutputLabel"))},o.default.prototype._accsBackground=function(e){this.ingredients.pShapes=JSON.stringify(this.ingredients.shapes),this.ingredients.shapes={},this.ingredients.colors.backgroundRGBA!==e&&(this.ingredients.colors.backgroundRGBA=e,this.ingredients.colors.background=this._rgbColorName(e))},o.default.prototype._accsCanvasColors=function(e,t){"fill"===e?this.ingredients.colors.fillRGBA!==t&&(this.ingredients.colors.fillRGBA=t,this.ingredients.colors.fill=this._rgbColorName(t)):"stroke"===e&&this.ingredients.colors.strokeRGBA!==t&&(this.ingredients.colors.strokeRGBA=t,this.ingredients.colors.stroke=this._rgbColorName(t))},o.default.prototype._accsOutput=function(e,t){"ellipse"===e&&t[2]===t[3]?e="circle":"rectangle"===e&&t[2]===t[3]&&(e="square");var r={},n=!0,o=function(e,t){var r,n;n="rectangle"===e||"ellipse"===e||"arc"===e||"circle"===e||"square"===e?(r=Math.round(t[0]+t[2]/2),Math.round(t[1]+t[3]/2)):"triangle"===e?(r=(t[0]+t[2]+t[4])/3,(t[1]+t[3]+t[5])/3):"quadrilateral"===e?(r=(t[0]+t[2]+t[4]+t[6])/4,(t[1]+t[3]+t[5]+t[7])/4):"line"===e?(r=(t[0]+t[2])/2,(t[1]+t[3])/2):(r=t[0],t[1]);return[r,n]}(e,t);if("line"===e){r.color=this.ingredients.colors.stroke,r.length=Math.round(this.dist(t[0],t[1],t[2],t[3]));var i=l([t[0],[1]],this.width,this.height),a=l([t[2],[3]],this.width,this.height);r.loc=u(o,this.width,this.height),r.pos=i===a?"at ".concat(i):"from ".concat(i," to ").concat(a)}else"point"===e?r.color=this.ingredients.colors.stroke:(r.color=this.ingredients.colors.fill,r.area=function(e,t,r,n){var o=0;if("arc"===e){var i=((t[5]-t[4])%(2*Math.PI)+2*Math.PI)%(2*Math.PI);if(o=i*t[2]*t[3]/8,"open"===t[6]||"chord"===t[6]){var a=t[0],s=t[1],l=t[0]+t[2]/2*Math.cos(t[4]).toFixed(2),u=t[1]+t[3]/2*Math.sin(t[4]).toFixed(2),c=t[0]+t[2]/2*Math.cos(t[5]).toFixed(2),d=t[1]+t[3]/2*Math.sin(t[5]).toFixed(2),f=Math.abs(a*(u-d)+l*(d-s)+c*(s-u))/2;i>Math.PI?o+=f:o-=f}}else"ellipse"===e||"circle"===e?o=3.14*t[2]/2*t[3]/2:"line"===e?o=0:"point"===e?o=0:"quadrilateral"===e?o=Math.abs((t[6]+t[0])*(t[7]-t[1])+(t[0]+t[2])*(t[1]-t[3])+(t[2]+t[4])*(t[3]-t[5])+(t[4]+t[6])*(t[5]-t[7]))/2:"rectangle"===e||"square"===e?o=t[2]*t[3]:"triangle"===e&&(o=Math.abs(t[0]*(t[3]-t[5])+t[2]*(t[5]-t[1])+t[4]*(t[1]-t[3]))/2);return Math.round(100*o/(r*n))}(e,t,this.width,this.height)),r.pos=l(o,this.width,this.height),r.loc=u(o,this.width,this.height);if(this.ingredients.shapes[e]){if(this.ingredients.shapes[e]!==[r]){for(var s in this.ingredients.shapes[e])JSON.stringify(this.ingredients.shapes[e][s])===JSON.stringify(r)&&(n=!1);!0===n&&this.ingredients.shapes[e].push(r)}}else this.ingredients.shapes[e]=[r]};var i=o.default;r.default=i},{"../core/main":264,"core-js/modules/es.array.concat":149,"core-js/modules/es.array.fill":151,"core-js/modules/es.array.map":161,"core-js/modules/es.number.to-fixed":172}],247:[function(e,t,r){"use strict";e("core-js/modules/es.array.concat"),Object.defineProperty(r,"__esModule",{value:!0}),r.default=void 0;var n,o=(n=e("../core/main"))&&n.__esModule?n:{default:n};o.default.prototype._updateTextOutput=function(e){if(this.dummyDOM.querySelector("#".concat(e,"_summary"))){var t=this._accessibleOutputs[e],r=function(e,t){var r="",n=0;for(var o in t)for(var i in t[o]){var a='
      • ').concat(t[o][i].color," ").concat(o,"");"line"===o?a+=", ".concat(t[o][i].pos,", ").concat(t[o][i].length," pixels long.
        • "):(a+=", at ".concat(t[o][i].pos),"point"!==o&&(a+=", covering ".concat(t[o][i].area,"% of the canvas")),a+="."),r+=a,n++}return{numShapes:n,listShapes:r}}(e,this.ingredients.shapes),n=function(e,t,r,n){var o="Your output is a, ".concat(r," by ").concat(n," pixels, ").concat(t," canvas containing the following");o=1===e?"".concat(o," shape:"):"".concat(o," ").concat(e," shapes:");return o}(r.numShapes,this.ingredients.colors.background,this.width,this.height),o=function(e,t){var r="",n=0;for(var o in t)for(var i in t[o]){var a='').concat(t[o][i].color," ").concat(o,"");"line"===o?a+="location = ".concat(t[o][i].pos,"length = ").concat(t[o][i].length," pixels"):(a+="location = ".concat(t[o][i].pos,""),"point"!==o&&(a+=" area = ".concat(t[o][i].area,"%")),a+=""),r+=a,n++}return r}(e,this.ingredients.shapes);n!==t.summary.innerHTML&&(t.summary.innerHTML=n),r.listShapes!==t.list.innerHTML&&(t.list.innerHTML=r.listShapes),o!==t.shapeDetails.innerHTML&&(t.shapeDetails.innerHTML=o),this._accessibleOutputs[e]=t}};var i=o.default;r.default=i},{"../core/main":264,"core-js/modules/es.array.concat":149}],248:[function(e,t,r){"use strict";var n,o=(n=e("./core/main"))&&n.__esModule?n:{default:n};e("./core/constants"),e("./core/environment"),e("./core/friendly_errors/stacktrace"),e("./core/friendly_errors/validate_params"),e("./core/friendly_errors/file_errors"),e("./core/friendly_errors/fes_core"),e("./core/friendly_errors/sketch_reader"),e("./core/helpers"),e("./core/legacy"),e("./core/preload"),e("./core/p5.Element"),e("./core/p5.Graphics"),e("./core/p5.Renderer"),e("./core/p5.Renderer2D"),e("./core/rendering"),e("./core/shim"),e("./core/structure"),e("./core/transform"),e("./core/shape/2d_primitives"),e("./core/shape/attributes"),e("./core/shape/curves"),e("./core/shape/vertex"),e("./accessibility/outputs"),e("./accessibility/textOutput"),e("./accessibility/gridOutput"),e("./accessibility/color_namer"),e("./color/color_conversion"),e("./color/creating_reading"),e("./color/p5.Color"),e("./color/setting"),e("./data/p5.TypedDict"),e("./data/local_storage.js"),e("./dom/dom"),e("./accessibility/describe"),e("./events/acceleration"),e("./events/keyboard"),e("./events/mouse"),e("./events/touch"),e("./image/filters"),e("./image/image"),e("./image/loading_displaying"),e("./image/p5.Image"),e("./image/pixels"),e("./io/files"),e("./io/p5.Table"),e("./io/p5.TableRow"),e("./io/p5.XML"),e("./math/calculation"),e("./math/math"),e("./math/noise"),e("./math/p5.Vector"),e("./math/random"),e("./math/trigonometry"),e("./typography/attributes"),e("./typography/loading_displaying"),e("./typography/p5.Font"),e("./utilities/array_functions"),e("./utilities/conversion"),e("./utilities/string_functions"),e("./utilities/time_date"),e("./webgl/3d_primitives"),e("./webgl/interaction"),e("./webgl/light"),e("./webgl/loading"),e("./webgl/material"),e("./webgl/p5.Camera"),e("./webgl/p5.Geometry"),e("./webgl/p5.Matrix"),e("./webgl/p5.RendererGL.Immediate"),e("./webgl/p5.RendererGL"),e("./webgl/p5.RendererGL.Retained"),e("./webgl/p5.Shader"),e("./webgl/p5.RenderBuffer"),e("./webgl/p5.Texture"),e("./webgl/text"),e("./core/init"),t.exports=o.default},{"./accessibility/color_namer":243,"./accessibility/describe":244,"./accessibility/gridOutput":245,"./accessibility/outputs":246,"./accessibility/textOutput":247,"./color/color_conversion":249,"./color/creating_reading":250,"./color/p5.Color":251,"./color/setting":252,"./core/constants":253,"./core/environment":254,"./core/friendly_errors/fes_core":255,"./core/friendly_errors/file_errors":256,"./core/friendly_errors/sketch_reader":257,"./core/friendly_errors/stacktrace":258,"./core/friendly_errors/validate_params":259,"./core/helpers":260,"./core/init":261,"./core/legacy":263,"./core/main":264,"./core/p5.Element":265,"./core/p5.Graphics":266,"./core/p5.Renderer":267,"./core/p5.Renderer2D":268,"./core/preload":269,"./core/rendering":270,"./core/shape/2d_primitives":271,"./core/shape/attributes":272,"./core/shape/curves":273,"./core/shape/vertex":274,"./core/shim":275,"./core/structure":276,"./core/transform":277,"./data/local_storage.js":278,"./data/p5.TypedDict":279,"./dom/dom":280,"./events/acceleration":281,"./events/keyboard":282,"./events/mouse":283,"./events/touch":284,"./image/filters":285,"./image/image":286,"./image/loading_displaying":287,"./image/p5.Image":288,"./image/pixels":289,"./io/files":290,"./io/p5.Table":291,"./io/p5.TableRow":292,"./io/p5.XML":293,"./math/calculation":294,"./math/math":295,"./math/noise":296,"./math/p5.Vector":297,"./math/random":298,"./math/trigonometry":299,"./typography/attributes":300,"./typography/loading_displaying":301,"./typography/p5.Font":302,"./utilities/array_functions":303,"./utilities/conversion":304,"./utilities/string_functions":305,"./utilities/time_date":306,"./webgl/3d_primitives":307,"./webgl/interaction":308,"./webgl/light":309,"./webgl/loading":310,"./webgl/material":311,"./webgl/p5.Camera":312,"./webgl/p5.Geometry":313,"./webgl/p5.Matrix":314,"./webgl/p5.RenderBuffer":315,"./webgl/p5.RendererGL":318,"./webgl/p5.RendererGL.Immediate":316,"./webgl/p5.RendererGL.Retained":317,"./webgl/p5.Shader":319,"./webgl/p5.Texture":320,"./webgl/text":321}],249:[function(e,t,r){"use strict";Object.defineProperty(r,"__esModule",{value:!0}),r.default=void 0;var n,o=(n=e("../core/main"))&&n.__esModule?n:{default:n};o.default.ColorConversion={},o.default.ColorConversion._hsbaToHSLA=function(e){var t=e[0],r=e[1],n=e[2],o=(2-r)*n/2;return 0!=o&&(1==o?r=0:o<.5?r/=2-r:r=r*n/(2-2*o)),[t,r,o,e[3]]},o.default.ColorConversion._hsbaToRGBA=function(e){var t=6*e[0],r=e[1],n=e[2],o=[];if(0===r)o=[n,n,n,e[3]];else{var i,a,s,l=Math.floor(t),u=n*(1-r),c=n*(1-r*(t-l)),d=n*(1-r*(1+l-t));s=1===l?(i=c,a=n,u):2===l?(i=u,a=n,d):3===l?(i=u,a=c,n):4===l?(i=d,a=u,n):5===l?(i=n,a=u,c):(i=n,a=d,u),o=[i,a,s,e[3]]}return o},o.default.ColorConversion._hslaToHSBA=function(e){var t,r=e[0],n=e[1],o=e[2];return[r,n=2*((t=o<.5?(1+n)*o:o+n-o*n)-o)/t,t,e[3]]},o.default.ColorConversion._hslaToRGBA=function(e){var t=6*e[0],r=e[1],n=e[2],o=[];if(0===r)o=[n,n,n,e[3]];else{var i,a=2*n-(i=n<.5?(1+r)*n:n+r-n*r),s=function(e,t,r){return e<0?e+=6:6<=e&&(e-=6),e<1?t+(r-t)*e:e<3?r:e<4?t+(r-t)*(4-e):t};o=[s(2+t,a,i),s(t,a,i),s(t-2,a,i),e[3]]}return o},o.default.ColorConversion._rgbaToHSBA=function(e){var t,r,n=e[0],o=e[1],i=e[2],a=Math.max(n,o,i),s=a-Math.min(n,o,i);return 0==s?r=t=0:(r=s/a,n===a?t=(o-i)/s:o===a?t=2+(i-n)/s:i===a&&(t=4+(n-o)/s),t<0?t+=6:6<=t&&(t-=6)),[t/6,r,a,e[3]]},o.default.ColorConversion._rgbaToHSLA=function(e){var t,r,n=e[0],o=e[1],i=e[2],a=Math.max(n,o,i),s=Math.min(n,o,i),l=a+s,u=a-s;return 0==u?r=t=0:(r=l<1?u/l:u/(2-l),n===a?t=(o-i)/u:o===a?t=2+(i-n)/u:i===a&&(t=4+(n-o)/u),t<0?t+=6:6<=t&&(t-=6)),[t/6,r,l/2,e[3]]};var i=o.default.ColorConversion;r.default=i},{"../core/main":264}],250:[function(e,t,r){"use strict";function a(e){return(a="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e})(e)}e("core-js/modules/es.array.map"),Object.defineProperty(r,"__esModule",{value:!0}),r.default=void 0;var n,d=(n=e("../core/main"))&&n.__esModule?n:{default:n},f=function(e){if(e&&e.__esModule)return e;if(null===e||"object"!==a(e)&&"function"!=typeof e)return{default:e};var t=s();if(t&&t.has(e))return t.get(e);var r={},n=Object.defineProperty&&Object.getOwnPropertyDescriptor;for(var o in e)if(Object.prototype.hasOwnProperty.call(e,o)){var i=n?Object.getOwnPropertyDescriptor(e,o):null;i&&(i.get||i.set)?Object.defineProperty(r,o,i):r[o]=e[o]}r.default=e,t&&t.set(e,r);return r}(e("../core/constants"));function s(){if("function"!=typeof WeakMap)return null;var e=new WeakMap;return s=function(){return e},e}e("./p5.Color"),e("../core/friendly_errors/validate_params"),e("../core/friendly_errors/file_errors"),e("../core/friendly_errors/fes_core"),d.default.prototype.alpha=function(e){return d.default._validateParameters("alpha",arguments),this.color(e)._getAlpha()},d.default.prototype.blue=function(e){return d.default._validateParameters("blue",arguments),this.color(e)._getBlue()},d.default.prototype.brightness=function(e){return d.default._validateParameters("brightness",arguments),this.color(e)._getBrightness()},d.default.prototype.color=function(){if(d.default._validateParameters("color",arguments),arguments[0]instanceof d.default.Color)return arguments[0];var e=arguments[0]instanceof Array?arguments[0]:arguments;return new d.default.Color(this,e)},d.default.prototype.green=function(e){return d.default._validateParameters("green",arguments),this.color(e)._getGreen()},d.default.prototype.hue=function(e){return d.default._validateParameters("hue",arguments),this.color(e)._getHue()},d.default.prototype.lerpColor=function(e,t,r){d.default._validateParameters("lerpColor",arguments);var n,o,i,a,s,l,u=this._colorMode,c=this._colorMaxes;if(u===f.RGB)s=e.levels.map(function(e){return e/255}),l=t.levels.map(function(e){return e/255});else if(u===f.HSB)e._getBrightness(),t._getBrightness(),s=e.hsba,l=t.hsba;else{if(u!==f.HSL)throw new Error("".concat(u,"cannot be used for interpolation."));e._getLightness(),t._getLightness(),s=e.hsla,l=t.hsla}return r=Math.max(Math.min(r,1),0),void 0===this.lerp&&(this.lerp=function(e,t,r){return r*(t-e)+e}),n=this.lerp(s[0],l[0],r),o=this.lerp(s[1],l[1],r),i=this.lerp(s[2],l[2],r),a=this.lerp(s[3],l[3],r),n*=c[u][0],o*=c[u][1],i*=c[u][2],a*=c[u][3],this.color(n,o,i,a)},d.default.prototype.lightness=function(e){return d.default._validateParameters("lightness",arguments),this.color(e)._getLightness()},d.default.prototype.red=function(e){return d.default._validateParameters("red",arguments),this.color(e)._getRed()},d.default.prototype.saturation=function(e){return d.default._validateParameters("saturation",arguments),this.color(e)._getSaturation()};var o=d.default;r.default=o},{"../core/constants":253,"../core/friendly_errors/fes_core":255,"../core/friendly_errors/file_errors":256,"../core/friendly_errors/validate_params":259,"../core/main":264,"./p5.Color":251,"core-js/modules/es.array.map":161}],251:[function(e,t,r){"use strict";function a(e){return(a="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e})(e)}e("core-js/modules/es.array.join"),e("core-js/modules/es.array.map"),e("core-js/modules/es.array.slice"),e("core-js/modules/es.object.to-string"),e("core-js/modules/es.regexp.constructor"),e("core-js/modules/es.regexp.exec"),e("core-js/modules/es.regexp.to-string"),e("core-js/modules/es.string.trim"),Object.defineProperty(r,"__esModule",{value:!0}),r.default=void 0;var d=n(e("../core/main")),f=function(e){if(e&&e.__esModule)return e;if(null===e||"object"!==a(e)&&"function"!=typeof e)return{default:e};var t=s();if(t&&t.has(e))return t.get(e);var r={},n=Object.defineProperty&&Object.getOwnPropertyDescriptor;for(var o in e)if(Object.prototype.hasOwnProperty.call(e,o)){var i=n?Object.getOwnPropertyDescriptor(e,o):null;i&&(i.get||i.set)?Object.defineProperty(r,o,i):r[o]=e[o]}r.default=e,t&&t.set(e,r);return r}(e("../core/constants")),h=n(e("./color_conversion"));function s(){if("function"!=typeof WeakMap)return null;var e=new WeakMap;return s=function(){return e},e}function n(e){return e&&e.__esModule?e:{default:e}}d.default.Color=function(e,t){if(this._storeModeAndMaxes(e._colorMode,e._colorMaxes),this.mode!==f.RGB&&this.mode!==f.HSL&&this.mode!==f.HSB)throw new Error("".concat(this.mode," is an invalid colorMode."));return this._array=d.default.Color._parseInputs.apply(this,t),this._calculateLevels(),this},d.default.Color.prototype.toString=function(e){var t=this.levels,r=this._array,n=r[3];switch(e){case"#rrggbb":return"#".concat(t[0]<16?"0".concat(t[0].toString(16)):t[0].toString(16),t[1]<16?"0".concat(t[1].toString(16)):t[1].toString(16),t[2]<16?"0".concat(t[2].toString(16)):t[2].toString(16));case"#rrggbbaa":return"#".concat(t[0]<16?"0".concat(t[0].toString(16)):t[0].toString(16),t[1]<16?"0".concat(t[1].toString(16)):t[1].toString(16),t[2]<16?"0".concat(t[2].toString(16)):t[2].toString(16),t[3]<16?"0".concat(t[3].toString(16)):t[3].toString(16));case"#rgb":return"#".concat(Math.round(15*r[0]).toString(16),Math.round(15*r[1]).toString(16),Math.round(15*r[2]).toString(16));case"#rgba":return"#".concat(Math.round(15*r[0]).toString(16),Math.round(15*r[1]).toString(16),Math.round(15*r[2]).toString(16),Math.round(15*r[3]).toString(16));case"rgb":return"rgb(".concat(t[0],", ",t[1],", ",t[2],")");case"rgb%":return"rgb(".concat((100*r[0]).toPrecision(3),"%, ",(100*r[1]).toPrecision(3),"%, ",(100*r[2]).toPrecision(3),"%)");case"rgba%":return"rgba(".concat((100*r[0]).toPrecision(3),"%, ",(100*r[1]).toPrecision(3),"%, ",(100*r[2]).toPrecision(3),"%, ",(100*r[3]).toPrecision(3),"%)");case"hsb":case"hsv":return this.hsba||(this.hsba=h.default._rgbaToHSBA(this._array)),"hsb(".concat(this.hsba[0]*this.maxes[f.HSB][0],", ",this.hsba[1]*this.maxes[f.HSB][1],", ",this.hsba[2]*this.maxes[f.HSB][2],")");case"hsb%":case"hsv%":return this.hsba||(this.hsba=h.default._rgbaToHSBA(this._array)),"hsb(".concat((100*this.hsba[0]).toPrecision(3),"%, ",(100*this.hsba[1]).toPrecision(3),"%, ",(100*this.hsba[2]).toPrecision(3),"%)");case"hsba":case"hsva":return this.hsba||(this.hsba=h.default._rgbaToHSBA(this._array)),"hsba(".concat(this.hsba[0]*this.maxes[f.HSB][0],", ",this.hsba[1]*this.maxes[f.HSB][1],", ",this.hsba[2]*this.maxes[f.HSB][2],", ",n,")");case"hsba%":case"hsva%":return this.hsba||(this.hsba=h.default._rgbaToHSBA(this._array)),"hsba(".concat((100*this.hsba[0]).toPrecision(3),"%, ",(100*this.hsba[1]).toPrecision(3),"%, ",(100*this.hsba[2]).toPrecision(3),"%, ",(100*n).toPrecision(3),"%)");case"hsl":return this.hsla||(this.hsla=h.default._rgbaToHSLA(this._array)),"hsl(".concat(this.hsla[0]*this.maxes[f.HSL][0],", ",this.hsla[1]*this.maxes[f.HSL][1],", ",this.hsla[2]*this.maxes[f.HSL][2],")");case"hsl%":return this.hsla||(this.hsla=h.default._rgbaToHSLA(this._array)),"hsl(".concat((100*this.hsla[0]).toPrecision(3),"%, ",(100*this.hsla[1]).toPrecision(3),"%, ",(100*this.hsla[2]).toPrecision(3),"%)");case"hsla":return this.hsla||(this.hsla=h.default._rgbaToHSLA(this._array)),"hsla(".concat(this.hsla[0]*this.maxes[f.HSL][0],", ",this.hsla[1]*this.maxes[f.HSL][1],", ",this.hsla[2]*this.maxes[f.HSL][2],", ",n,")");case"hsla%":return this.hsla||(this.hsla=h.default._rgbaToHSLA(this._array)),"hsl(".concat((100*this.hsla[0]).toPrecision(3),"%, 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t1\n coverage.x += saturate(C1.x + 0.5);\n // calculate the anti-aliasing for t1\n weight.x = min(weight.x, abs(C1.x));\n }\n\n // are we outside the curve (after t2)?\n if (y1 ? !y0 : y2) {\n // subtract the coverage for t2\n coverage.x -= saturate(C2.x + 0.5);\n // calculate the anti-aliasing for t2\n weight.x = min(weight.x, abs(C2.x));\n }\n}\n\n// this is essentially the same as coverageX, but with the axes swapped\nvoid coverageY(vec2 p0, vec2 p1, vec2 p2) {\n\n vec2 C1, C2;\n calulateCrossings(p0, p1, p2, C1, C2);\n\n bool x0 = p0.x > vTexCoord.x;\n bool x1 = p1.x > vTexCoord.x;\n bool x2 = p2.x > vTexCoord.x;\n\n if (x1 ? !x2 : x0) {\n coverage.y -= saturate(C1.y + 0.5);\n weight.y = min(weight.y, abs(C1.y));\n }\n\n if (x1 ? !x0 : x2) {\n coverage.y += saturate(C2.y + 0.5);\n weight.y = min(weight.y, abs(C2.y));\n }\n}\n\nvoid main() {\n\n // calculate the pixel scale based on screen-coordinates\n pixelScale = hardness / fwidth(vTexCoord);\n\n // which grid cell is this pixel in?\n ivec2 gridCoord = ifloor(vTexCoord * vec2(uGridSize));\n\n // intersect curves in this row\n {\n // the index into the row info bitmap\n int rowIndex = gridCoord.y + uGridOffset.y;\n // fetch the info texel\n vec4 rowInfo = getTexel(uSamplerRows, rowIndex, uGridImageSize);\n // unpack the rowInfo\n int rowStrokeIndex = getInt16(rowInfo.xy);\n int rowStrokeCount = getInt16(rowInfo.zw);\n\n for (int iRowStroke = INT(0); iRowStroke < N; iRowStroke++) {\n if (iRowStroke >= rowStrokeCount)\n break;\n\n // each stroke is made up of 3 points: the start and control point\n // and the start of the next curve.\n // fetch the indices of this pair of strokes:\n vec4 strokeIndices = getTexel(uSamplerRowStrokes, rowStrokeIndex++, uCellsImageSize);\n\n // unpack the stroke index\n int strokePos = getInt16(strokeIndices.xy);\n\n // fetch the two strokes\n vec4 stroke0 = getTexel(uSamplerStrokes, strokePos + INT(0), uStrokeImageSize);\n vec4 stroke1 = getTexel(uSamplerStrokes, strokePos + INT(1), uStrokeImageSize);\n\n // calculate the coverage\n coverageX(stroke0.xy, stroke0.zw, stroke1.xy);\n }\n }\n\n // intersect curves in this column\n {\n int colIndex = gridCoord.x + uGridOffset.x;\n vec4 colInfo = getTexel(uSamplerCols, colIndex, uGridImageSize);\n int colStrokeIndex = getInt16(colInfo.xy);\n int colStrokeCount = getInt16(colInfo.zw);\n \n for (int iColStroke = INT(0); iColStroke < N; iColStroke++) {\n if (iColStroke >= colStrokeCount)\n break;\n\n vec4 strokeIndices = getTexel(uSamplerColStrokes, colStrokeIndex++, uCellsImageSize);\n\n int strokePos = getInt16(strokeIndices.xy);\n vec4 stroke0 = getTexel(uSamplerStrokes, strokePos + INT(0), uStrokeImageSize);\n vec4 stroke1 = getTexel(uSamplerStrokes, strokePos + INT(1), uStrokeImageSize);\n coverageY(stroke0.xy, stroke0.zw, stroke1.xy);\n }\n }\n\n weight = saturate(1.0 - weight * 2.0);\n float distance = max(weight.x + weight.y, minDistance); // manhattan approx.\n float antialias = abs(dot(coverage, weight) / distance);\n float cover = min(abs(coverage.x), abs(coverage.y));\n gl_FragColor = uMaterialColor;\n gl_FragColor.a *= saturate(max(antialias, cover));\n}",lineVert:"/*\n Part of the Processing project - http://processing.org\n Copyright (c) 2012-15 The Processing Foundation\n Copyright (c) 2004-12 Ben Fry and Casey Reas\n Copyright (c) 2001-04 Massachusetts Institute of Technology\n This library is free software; you can redistribute it and/or\n modify it under the terms of the GNU Lesser General Public\n License as published by the Free Software Foundation, version 2.1.\n This library is distributed in the hope that it will be useful,\n but WITHOUT ANY WARRANTY; without even the implied warranty of\n MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU\n Lesser General Public License for more details.\n You should have received a copy of the GNU Lesser General\n Public License along with this library; if not, write to the\n Free Software Foundation, Inc., 59 Temple Place, Suite 330,\n Boston, MA 02111-1307 USA\n*/\n\n#define PROCESSING_LINE_SHADER\n\nuniform mat4 uModelViewMatrix;\nuniform mat4 uProjectionMatrix;\nuniform float uStrokeWeight;\n\nuniform vec4 uViewport;\nuniform int uPerspective;\n\nattribute vec4 aPosition;\nattribute vec4 aDirection;\n \nvoid main() {\n // using a scale <1 moves the lines towards the camera\n // in order to prevent popping effects due to half of\n // the line disappearing behind the geometry faces.\n vec3 scale = vec3(0.9995);\n\n vec4 posp = uModelViewMatrix * aPosition;\n vec4 posq = uModelViewMatrix * (aPosition + vec4(aDirection.xyz, 0));\n\n // Moving vertices slightly toward the camera\n // to avoid depth-fighting with the fill triangles.\n // Discussed here:\n // http://www.opengl.org/discussion_boards/ubbthreads.php?ubb=showflat&Number=252848 \n posp.xyz = posp.xyz * scale;\n posq.xyz = posq.xyz * scale;\n\n vec4 p = uProjectionMatrix * posp;\n vec4 q = uProjectionMatrix * posq;\n\n // formula to convert from clip space (range -1..1) to screen space (range 0..[width or height])\n // screen_p = (p.xy/p.w + <1,1>) * 0.5 * uViewport.zw\n\n // prevent division by W by transforming the tangent formula (div by 0 causes\n // the line to disappear, see https://github.com/processing/processing/issues/5183)\n // t = screen_q - screen_p\n //\n // tangent is normalized and we don't care which aDirection it points to (+-)\n // t = +- normalize( screen_q - screen_p )\n // t = +- normalize( (q.xy/q.w+<1,1>)*0.5*uViewport.zw - (p.xy/p.w+<1,1>)*0.5*uViewport.zw )\n //\n // extract common factor, <1,1> - <1,1> cancels out\n // t = +- normalize( (q.xy/q.w - p.xy/p.w) * 0.5 * uViewport.zw )\n //\n // convert to common divisor\n // t = +- normalize( ((q.xy*p.w - p.xy*q.w) / (p.w*q.w)) * 0.5 * uViewport.zw )\n //\n // remove the common scalar divisor/factor, not needed due to normalize and +-\n // (keep uViewport - can't remove because it has different components for x and y\n // and corrects for aspect ratio, see https://github.com/processing/processing/issues/5181)\n // t = +- normalize( (q.xy*p.w - p.xy*q.w) * uViewport.zw )\n\n vec2 tangent = normalize((q.xy*p.w - p.xy*q.w) * uViewport.zw);\n\n // flip tangent to normal (it's already normalized)\n vec2 normal = vec2(-tangent.y, tangent.x);\n\n float thickness = aDirection.w * uStrokeWeight;\n vec2 offset = normal * thickness / 2.0;\n\n vec2 curPerspScale;\n\n if(uPerspective == 1) {\n // Perspective ---\n // convert from world to clip by multiplying with projection scaling factor\n // to get the right thickness (see https://github.com/processing/processing/issues/5182)\n // invert Y, projections in Processing invert Y\n curPerspScale = (uProjectionMatrix * vec4(1, -1, 0, 0)).xy;\n } else {\n // No Perspective ---\n // multiply by W (to cancel out division by W later in the pipeline) and\n // convert from screen to clip (derived from clip to screen above)\n curPerspScale = p.w / (0.5 * uViewport.zw);\n }\n\n gl_Position.xy = p.xy + offset.xy * curPerspScale;\n gl_Position.zw = p.zw;\n}\n",lineFrag:"precision mediump float;\nprecision mediump int;\n\nuniform vec4 uMaterialColor;\n\nvoid main() {\n gl_FragColor = uMaterialColor;\n}",pointVert:"attribute vec3 aPosition;\nuniform float uPointSize;\nvarying float vStrokeWeight;\nuniform mat4 uModelViewMatrix;\nuniform mat4 uProjectionMatrix;\nvoid main() {\n\tvec4 positionVec4 = vec4(aPosition, 1.0);\n\tgl_Position = uProjectionMatrix * uModelViewMatrix * positionVec4;\n\tgl_PointSize = uPointSize;\n\tvStrokeWeight = uPointSize;\n}",pointFrag:"precision mediump float;\nprecision mediump int;\nuniform vec4 uMaterialColor;\nvarying float vStrokeWeight;\n\nvoid main(){\n\tfloat mask = 0.0;\n\n\t// make a circular mask using the gl_PointCoord (goes from 0 - 1 on a point)\n // might be able to get a nicer edge on big strokeweights with smoothstep but slightly less performant\n\n\tmask = step(0.98, length(gl_PointCoord * 2.0 - 1.0));\n\n\t// if strokeWeight is 1 or less lets just draw a square\n\t// this prevents weird artifacting from carving circles when our points are really small\n\t// if strokeWeight is larger than 1, we just use it as is\n\n\tmask = mix(0.0, mask, clamp(floor(vStrokeWeight - 0.5),0.0,1.0));\n\n\t// throw away the borders of the mask\n // otherwise we get weird alpha blending issues\n\n\tif(mask > 0.98){\n discard;\n \t}\n\n \tgl_FragColor = vec4(uMaterialColor.rgb * (1.0 - mask), uMaterialColor.a) ;\n}"};u.default.RendererGL=function(e,t,r,n){return u.default.Renderer.call(this,e,t,r),this._setAttributeDefaults(t),this._initContext(),this.isP3D=!0,this.GL=this.drawingContext,this._pInst._setProperty("drawingContext",this.drawingContext),this._isErasing=!1,this._enableLighting=!1,this.ambientLightColors=[],this.specularColors=[1,1,1],this.directionalLightDirections=[],this.directionalLightDiffuseColors=[],this.directionalLightSpecularColors=[],this.pointLightPositions=[],this.pointLightDiffuseColors=[],this.pointLightSpecularColors=[],this.spotLightPositions=[],this.spotLightDirections=[],this.spotLightDiffuseColors=[],this.spotLightSpecularColors=[],this.spotLightAngle=[],this.spotLightConc=[],this.drawMode=i.FILL,this.curFillColor=this._cachedFillStyle=[1,1,1,1],this.curStrokeColor=this._cachedStrokeStyle=[0,0,0,1],this.curBlendMode=i.BLEND,this._cachedBlendMode=void 0,this.blendExt=this.GL.getExtension("EXT_blend_minmax"),this._isBlending=!1,this._useSpecularMaterial=!1,this._useEmissiveMaterial=!1,this._useNormalMaterial=!1,this._useShininess=1,this._tint=[255,255,255,255],this.constantAttenuation=1,this.linearAttenuation=0,this.quadraticAttenuation=0,this.uMVMatrix=new u.default.Matrix,this.uPMatrix=new u.default.Matrix,this.uNMatrix=new u.default.Matrix("mat3"),this._currentNormal=new u.default.Vector(0,0,1),this._curCamera=new u.default.Camera(this),this._curCamera._computeCameraDefaultSettings(),this._curCamera._setDefaultCamera(),this._defaultLightShader=void 0,this._defaultImmediateModeShader=void 0,this._defaultNormalShader=void 0,this._defaultColorShader=void 0,this._defaultPointShader=void 0,this.userFillShader=void 0,this.userStrokeShader=void 0,this.userPointShader=void 0,this.retainedMode={geometry:{},buffers:{stroke:[new u.default.RenderBuffer(3,"lineVertices","lineVertexBuffer","aPosition",this,this._flatten),new u.default.RenderBuffer(4,"lineNormals","lineNormalBuffer","aDirection",this,this._flatten)],fill:[new u.default.RenderBuffer(3,"vertices","vertexBuffer","aPosition",this,this._vToNArray),new u.default.RenderBuffer(3,"vertexNormals","normalBuffer","aNormal",this,this._vToNArray),new u.default.RenderBuffer(4,"vertexColors","colorBuffer","aVertexColor",this),new u.default.RenderBuffer(3,"vertexAmbients","ambientBuffer","aAmbientColor",this),new u.default.RenderBuffer(2,"uvs","uvBuffer","aTexCoord",this,this._flatten)],text:[new u.default.RenderBuffer(3,"vertices","vertexBuffer","aPosition",this,this._vToNArray),new u.default.RenderBuffer(2,"uvs","uvBuffer","aTexCoord",this,this._flatten)]}},this.immediateMode={geometry:new u.default.Geometry,shapeMode:i.TRIANGLE_FAN,_bezierVertex:[],_quadraticVertex:[],_curveVertex:[],buffers:{fill:[new u.default.RenderBuffer(3,"vertices","vertexBuffer","aPosition",this,this._vToNArray),new u.default.RenderBuffer(3,"vertexNormals","normalBuffer","aNormal",this,this._vToNArray),new u.default.RenderBuffer(4,"vertexColors","colorBuffer","aVertexColor",this),new u.default.RenderBuffer(3,"vertexAmbients","ambientBuffer","aAmbientColor",this),new u.default.RenderBuffer(2,"uvs","uvBuffer","aTexCoord",this,this._flatten)],stroke:[new u.default.RenderBuffer(3,"lineVertices","lineVertexBuffer","aPosition",this,this._flatten),new u.default.RenderBuffer(4,"lineNormals","lineNormalBuffer","aDirection",this,this._flatten)],point:this.GL.createBuffer()}},this.pointSize=5,this.curStrokeWeight=1,this.textures=[],this.textureMode=i.IMAGE,this.textureWrapX=i.CLAMP,this.textureWrapY=i.CLAMP,this._tex=null,this._curveTightness=6,this._lookUpTableBezier=[],this._lookUpTableQuadratic=[],this._lutBezierDetail=0,this._lutQuadraticDetail=0,this._tessy=this._initTessy(),this.fontInfos={},this._curShader=void 0,this},u.default.RendererGL.prototype=Object.create(u.default.Renderer.prototype),u.default.RendererGL.prototype._setAttributeDefaults=function(e){var t={alpha:!1,depth:!0,stencil:!0,antialias:navigator.userAgent.toLowerCase().includes("safari"),premultipliedAlpha:!1,preserveDrawingBuffer:!0,perPixelLighting:!0};null===e._glAttributes?e._glAttributes=t:e._glAttributes=Object.assign(t,e._glAttributes)},u.default.RendererGL.prototype._initContext=function(){try{if(this.drawingContext=this.canvas.getContext("webgl",this._pInst._glAttributes)||this.canvas.getContext("experimental-webgl",this._pInst._glAttributes),null===this.drawingContext)throw new Error("Error creating webgl context");var e=this.drawingContext;e.enable(e.DEPTH_TEST),e.depthFunc(e.LEQUAL),e.viewport(0,0,e.drawingBufferWidth,e.drawingBufferHeight),this._viewport=this.drawingContext.getParameter(this.drawingContext.VIEWPORT)}catch(e){throw e}},u.default.RendererGL.prototype._resetContext=function(e,t){var r=this.width,n=this.height,o=this.canvas.id,i=this._pInst instanceof u.default.Graphics;if(i){var a=this._pInst;a.canvas.parentNode.removeChild(a.canvas),a.canvas=document.createElement("canvas"),(a._pInst._userNode||document.body).appendChild(a.canvas),u.default.Element.call(a,a.canvas,a._pInst),a.width=r,a.height=n}else{var s=this.canvas;s&&s.parentNode.removeChild(s),(s=document.createElement("canvas")).id=o,this._pInst._userNode?this._pInst._userNode.appendChild(s):document.body.appendChild(s),this._pInst.canvas=s}var l=new u.default.RendererGL(this._pInst.canvas,this._pInst,!i);this._pInst._setProperty("_renderer",l),l.resize(r,n),l._applyDefaults(),i||this._pInst._elements.push(l),"function"==typeof t&&setTimeout(function(){t.apply(window._renderer,e)},0)},u.default.prototype.setAttributes=function(e,t){if(void 0!==this._glAttributes){var r=!0;if(void 0!==t?(null===this._glAttributes&&(this._glAttributes={}),this._glAttributes[e]!==t&&(this._glAttributes[e]=t,r=!1)):e instanceof Object&&this._glAttributes!==e&&(this._glAttributes=e,r=!1),this._renderer.isP3D&&!r){if(!this._setupDone)for(var n in this._renderer.retainedMode.geometry)if(this._renderer.retainedMode.geometry.hasOwnProperty(n))return void console.error("Sorry, Could not set the attributes, you need to call setAttributes() before calling the other drawing methods in setup()");this.push(),this._renderer._resetContext(),this.pop(),this._renderer._curCamera&&(this._renderer._curCamera._renderer=this._renderer)}}else console.log("You are trying to use setAttributes on a p5.Graphics object that does not use a WEBGL renderer.")},u.default.RendererGL.prototype._update=function(){this.uMVMatrix.set(this._curCamera.cameraMatrix.mat4[0],this._curCamera.cameraMatrix.mat4[1],this._curCamera.cameraMatrix.mat4[2],this._curCamera.cameraMatrix.mat4[3],this._curCamera.cameraMatrix.mat4[4],this._curCamera.cameraMatrix.mat4[5],this._curCamera.cameraMatrix.mat4[6],this._curCamera.cameraMatrix.mat4[7],this._curCamera.cameraMatrix.mat4[8],this._curCamera.cameraMatrix.mat4[9],this._curCamera.cameraMatrix.mat4[10],this._curCamera.cameraMatrix.mat4[11],this._curCamera.cameraMatrix.mat4[12],this._curCamera.cameraMatrix.mat4[13],this._curCamera.cameraMatrix.mat4[14],this._curCamera.cameraMatrix.mat4[15]),this.ambientLightColors.length=0,this.specularColors=[1,1,1],this.directionalLightDirections.length=0,this.directionalLightDiffuseColors.length=0,this.directionalLightSpecularColors.length=0,this.pointLightPositions.length=0,this.pointLightDiffuseColors.length=0,this.pointLightSpecularColors.length=0,this.spotLightPositions.length=0,this.spotLightDirections.length=0,this.spotLightDiffuseColors.length=0,this.spotLightSpecularColors.length=0,this.spotLightAngle.length=0,this.spotLightConc.length=0,this._enableLighting=!1,this._tint=[255,255,255,255],this.GL.clear(this.GL.DEPTH_BUFFER_BIT)},u.default.RendererGL.prototype.background=function(){var e,t=(e=this._pInst).color.apply(e,arguments),r=t.levels[0]/255,n=t.levels[1]/255,o=t.levels[2]/255,i=t.levels[3]/255;this.GL.clearColor(r,n,o,i),this.GL.clear(this.GL.COLOR_BUFFER_BIT)},u.default.RendererGL.prototype.fill=function(e,t,r,n){var o=u.default.prototype.color.apply(this._pInst,arguments);this.curFillColor=o._array,this.drawMode=i.FILL,this._useNormalMaterial=!1,this._tex=null},u.default.RendererGL.prototype.stroke=function(e,t,r,n){arguments[3]=255;var o=u.default.prototype.color.apply(this._pInst,arguments);this.curStrokeColor=o._array},u.default.RendererGL.prototype.strokeCap=function(e){console.error("Sorry, strokeCap() is not yet implemented in WEBGL mode")},u.default.RendererGL.prototype.strokeJoin=function(e){console.error("Sorry, strokeJoin() is not yet implemented in WEBGL mode")},u.default.RendererGL.prototype.filter=function(e){console.error("filter() does not work in WEBGL mode")},u.default.RendererGL.prototype.blendMode=function(e){e===i.DARKEST||e===i.LIGHTEST||e===i.ADD||e===i.BLEND||e===i.SUBTRACT||e===i.SCREEN||e===i.EXCLUSION||e===i.REPLACE||e===i.MULTIPLY||e===i.REMOVE?this.curBlendMode=e:e!==i.BURN&&e!==i.OVERLAY&&e!==i.HARD_LIGHT&&e!==i.SOFT_LIGHT&&e!==i.DODGE||console.warn("BURN, OVERLAY, HARD_LIGHT, SOFT_LIGHT, and DODGE only work for blendMode in 2D mode.")},u.default.RendererGL.prototype.erase=function(e,t){this._isErasing||(this._applyBlendMode(i.REMOVE),this._isErasing=!0,this._cachedFillStyle=this.curFillColor.slice(),this.curFillColor=[1,1,1,e/255],this._cachedStrokeStyle=this.curStrokeColor.slice(),this.curStrokeColor=[1,1,1,t/255])},u.default.RendererGL.prototype.noErase=function(){this._isErasing&&(this._isErasing=!1,this.curFillColor=this._cachedFillStyle.slice(),this.curStrokeColor=this._cachedStrokeStyle.slice(),this.blendMode(this._cachedBlendMode))},u.default.RendererGL.prototype.strokeWeight=function(e){this.curStrokeWeight!==e&&(this.pointSize=e,this.curStrokeWeight=e)},u.default.RendererGL.prototype._getPixel=function(e,t){var r;return r=new Uint8Array(4),this.drawingContext.readPixels(e,t,1,1,this.drawingContext.RGBA,this.drawingContext.UNSIGNED_BYTE,r),[r[0],r[1],r[2],r[3]]},u.default.RendererGL.prototype.loadPixels=function(){var e=this._pixelsState;if(!0===this._pInst._glAttributes.preserveDrawingBuffer){var t=e.pixels,r=this.GL.drawingBufferWidth*this.GL.drawingBufferHeight*4;t instanceof Uint8Array&&t.length===r||(t=new Uint8Array(r),this._pixelsState._setProperty("pixels",t));var n=this._pInst._pixelDensity;this.GL.readPixels(0,0,this.width*n,this.height*n,this.GL.RGBA,this.GL.UNSIGNED_BYTE,t)}else console.log("loadPixels only works in WebGL when preserveDrawingBuffer is true.")},u.default.RendererGL.prototype.geometryInHash=function(e){return void 0!==this.retainedMode.geometry[e]},u.default.RendererGL.prototype.resize=function(e,t){u.default.Renderer.prototype.resize.call(this,e,t),this.GL.viewport(0,0,this.GL.drawingBufferWidth,this.GL.drawingBufferHeight),this._viewport=this.GL.getParameter(this.GL.VIEWPORT),this._curCamera._resize();var r=this._pixelsState;void 0!==r.pixels&&r._setProperty("pixels",new Uint8Array(this.GL.drawingBufferWidth*this.GL.drawingBufferHeight*4))},u.default.RendererGL.prototype.clear=function(){var e=(arguments.length<=0?void 0:arguments[0])||0,t=(arguments.length<=1?void 0:arguments[1])||0,r=(arguments.length<=2?void 0:arguments[2])||0,n=(arguments.length<=3?void 0:arguments[3])||0;this.GL.clearColor(e,t,r,n),this.GL.clearDepth(1),this.GL.clear(this.GL.COLOR_BUFFER_BIT|this.GL.DEPTH_BUFFER_BIT)},u.default.RendererGL.prototype.applyMatrix=function(e,t,r,n,o,i){16===arguments.length?u.default.Matrix.prototype.apply.apply(this.uMVMatrix,arguments):this.uMVMatrix.apply([e,t,0,0,r,n,0,0,0,0,1,0,o,i,0,1])},u.default.RendererGL.prototype.translate=function(e,t,r){return e instanceof u.default.Vector&&(r=e.z,t=e.y,e=e.x),this.uMVMatrix.translate([e,t,r]),this},u.default.RendererGL.prototype.scale=function(e,t,r){return this.uMVMatrix.scale(e,t,r),this},u.default.RendererGL.prototype.rotate=function(e,t){return void 0===t?this.rotateZ(e):(u.default.Matrix.prototype.rotate.apply(this.uMVMatrix,arguments),this)},u.default.RendererGL.prototype.rotateX=function(e){return this.rotate(e,1,0,0),this},u.default.RendererGL.prototype.rotateY=function(e){return this.rotate(e,0,1,0),this},u.default.RendererGL.prototype.rotateZ=function(e){return this.rotate(e,0,0,1),this},u.default.RendererGL.prototype.push=function(){var e=u.default.Renderer.prototype.push.apply(this),t=e.properties;return t.uMVMatrix=this.uMVMatrix.copy(),t.uPMatrix=this.uPMatrix.copy(),t._curCamera=this._curCamera,this._curCamera=this._curCamera.copy(),t.ambientLightColors=this.ambientLightColors.slice(),t.specularColors=this.specularColors.slice(),t.directionalLightDirections=this.directionalLightDirections.slice(),t.directionalLightDiffuseColors=this.directionalLightDiffuseColors.slice(),t.directionalLightSpecularColors=this.directionalLightSpecularColors.slice(),t.pointLightPositions=this.pointLightPositions.slice(),t.pointLightDiffuseColors=this.pointLightDiffuseColors.slice(),t.pointLightSpecularColors=this.pointLightSpecularColors.slice(),t.spotLightPositions=this.spotLightPositions.slice(),t.spotLightDirections=this.spotLightDirections.slice(),t.spotLightDiffuseColors=this.spotLightDiffuseColors.slice(),t.spotLightSpecularColors=this.spotLightSpecularColors.slice(),t.spotLightAngle=this.spotLightAngle.slice(),t.spotLightConc=this.spotLightConc.slice(),t.userFillShader=this.userFillShader,t.userStrokeShader=this.userStrokeShader,t.userPointShader=this.userPointShader,t.pointSize=this.pointSize,t.curStrokeWeight=this.curStrokeWeight,t.curStrokeColor=this.curStrokeColor,t.curFillColor=this.curFillColor,t._useSpecularMaterial=this._useSpecularMaterial,t._useEmissiveMaterial=this._useEmissiveMaterial,t._useShininess=this._useShininess,t.constantAttenuation=this.constantAttenuation,t.linearAttenuation=this.linearAttenuation,t.quadraticAttenuation=this.quadraticAttenuation,t._enableLighting=this._enableLighting,t._useNormalMaterial=this._useNormalMaterial,t._tex=this._tex,t.drawMode=this.drawMode,t._currentNormal=this._currentNormal,e},u.default.RendererGL.prototype.resetMatrix=function(){return this.uMVMatrix=u.default.Matrix.identity(this._pInst),this},u.default.RendererGL.prototype._getImmediateStrokeShader=function(){var e=this.userStrokeShader;return e&&e.isStrokeShader()?e:this._getLineShader()},u.default.RendererGL.prototype._getRetainedStrokeShader=u.default.RendererGL.prototype._getImmediateStrokeShader,u.default.RendererGL.prototype._getImmediateFillShader=function(){var e=this.userFillShader;if(this._useNormalMaterial&&(!e||!e.isNormalShader()))return this._getNormalShader();if(this._enableLighting){if(!e||!e.isLightShader())return this._getLightShader()}else if(this._tex){if(!e||!e.isTextureShader())return this._getLightShader()}else if(!e)return this._getImmediateModeShader();return e},u.default.RendererGL.prototype._getRetainedFillShader=function(){if(this._useNormalMaterial)return this._getNormalShader();var e=this.userFillShader;if(this._enableLighting){if(!e||!e.isLightShader())return this._getLightShader()}else if(this._tex){if(!e||!e.isTextureShader())return this._getLightShader()}else if(!e)return this._getColorShader();return e},u.default.RendererGL.prototype._getImmediatePointShader=function(){var e=this.userPointShader;return e&&e.isPointShader()?e:this._getPointShader()},u.default.RendererGL.prototype._getRetainedLineShader=u.default.RendererGL.prototype._getImmediateLineShader,u.default.RendererGL.prototype._getLightShader=function(){return this._defaultLightShader||(this._pInst._glAttributes.perPixelLighting?this._defaultLightShader=new u.default.Shader(this,d.phongVert,d.phongFrag):this._defaultLightShader=new u.default.Shader(this,d.lightVert,d.lightTextureFrag)),this._defaultLightShader},u.default.RendererGL.prototype._getImmediateModeShader=function(){return this._defaultImmediateModeShader||(this._defaultImmediateModeShader=new u.default.Shader(this,d.immediateVert,d.vertexColorFrag)),this._defaultImmediateModeShader},u.default.RendererGL.prototype._getNormalShader=function(){return this._defaultNormalShader||(this._defaultNormalShader=new u.default.Shader(this,d.normalVert,d.normalFrag)),this._defaultNormalShader},u.default.RendererGL.prototype._getColorShader=function(){return this._defaultColorShader||(this._defaultColorShader=new u.default.Shader(this,d.normalVert,d.basicFrag)),this._defaultColorShader},u.default.RendererGL.prototype._getPointShader=function(){return this._defaultPointShader||(this._defaultPointShader=new u.default.Shader(this,d.pointVert,d.pointFrag)),this._defaultPointShader},u.default.RendererGL.prototype._getLineShader=function(){return this._defaultLineShader||(this._defaultLineShader=new u.default.Shader(this,d.lineVert,d.lineFrag)),this._defaultLineShader},u.default.RendererGL.prototype._getFontShader=function(){return this._defaultFontShader||(this.GL.getExtension("OES_standard_derivatives"),this._defaultFontShader=new u.default.Shader(this,d.fontVert,d.fontFrag)),this._defaultFontShader},u.default.RendererGL.prototype._getEmptyTexture=function(){if(!this._emptyTexture){var e=new u.default.Image(1,1);e.set(0,0,255),this._emptyTexture=new u.default.Texture(this,e)}return this._emptyTexture},u.default.RendererGL.prototype.getTexture=function(e){var t=this.textures,r=!0,n=!1,o=void 0;try{for(var i,a=t[Symbol.iterator]();!(r=(i=a.next()).done);r=!0){var s=i.value;if(s.src===e)return s}}catch(e){n=!0,o=e}finally{try{r||null==a.return||a.return()}finally{if(n)throw o}}var l=new u.default.Texture(this,e);return t.push(l),l},u.default.RendererGL.prototype._setStrokeUniforms=function(e){e.bindShader(),e.setUniform("uMaterialColor",this.curStrokeColor),e.setUniform("uStrokeWeight",this.curStrokeWeight)},u.default.RendererGL.prototype._setFillUniforms=function(e){e.bindShader(),e.setUniform("uMaterialColor",this.curFillColor),e.setUniform("isTexture",!!this._tex),this._tex&&e.setUniform("uSampler",this._tex),e.setUniform("uTint",this._tint),e.setUniform("uSpecular",this._useSpecularMaterial),e.setUniform("uEmissive",this._useEmissiveMaterial),e.setUniform("uShininess",this._useShininess),e.setUniform("uUseLighting",this._enableLighting);var t=this.pointLightDiffuseColors.length/3;e.setUniform("uPointLightCount",t),e.setUniform("uPointLightLocation",this.pointLightPositions),e.setUniform("uPointLightDiffuseColors",this.pointLightDiffuseColors),e.setUniform("uPointLightSpecularColors",this.pointLightSpecularColors);var r=this.directionalLightDiffuseColors.length/3;e.setUniform("uDirectionalLightCount",r),e.setUniform("uLightingDirection",this.directionalLightDirections),e.setUniform("uDirectionalDiffuseColors",this.directionalLightDiffuseColors),e.setUniform("uDirectionalSpecularColors",this.directionalLightSpecularColors);var n=this.ambientLightColors.length/3;e.setUniform("uAmbientLightCount",n),e.setUniform("uAmbientColor",this.ambientLightColors);var o=this.spotLightDiffuseColors.length/3;e.setUniform("uSpotLightCount",o),e.setUniform("uSpotLightAngle",this.spotLightAngle),e.setUniform("uSpotLightConc",this.spotLightConc),e.setUniform("uSpotLightDiffuseColors",this.spotLightDiffuseColors),e.setUniform("uSpotLightSpecularColors",this.spotLightSpecularColors),e.setUniform("uSpotLightLocation",this.spotLightPositions),e.setUniform("uSpotLightDirection",this.spotLightDirections),e.setUniform("uConstantAttenuation",this.constantAttenuation),e.setUniform("uLinearAttenuation",this.linearAttenuation),e.setUniform("uQuadraticAttenuation",this.quadraticAttenuation),e.bindTextures()},u.default.RendererGL.prototype._setPointUniforms=function(e){e.bindShader(),e.setUniform("uMaterialColor",this.curStrokeColor),e.setUniform("uPointSize",this.pointSize*this._pInst._pixelDensity)},u.default.RendererGL.prototype._bindBuffer=function(e,t,r,n,o){if(t=t||this.GL.ARRAY_BUFFER,this.GL.bindBuffer(t,e),void 0!==r){var i=new(n||Float32Array)(r);this.GL.bufferData(t,i,o||this.GL.STATIC_DRAW)}},u.default.RendererGL.prototype._arraysEqual=function(e,t){var r=e.length;if(r!==t.length)return!1;for(var n=0;n>7,127&f,d>>7,127&d);for(var h=0;h>7,127&p,0,0)}}return{cellImageInfo:l,dimOffset:i,dimImageInfo:o}}return(t=this.glyphInfos[e.index]={glyph:e,uGlyphRect:[n.x1,-n.y1,n.x2,-n.y2],strokeImageInfo:I,strokes:h,colInfo:B(y,this.colDimImageInfos,this.colCellImageInfos),rowInfo:B(p,this.rowDimImageInfos,this.rowCellImageInfos)}).uGridOffset=[t.colInfo.dimOffset,t.rowInfo.dimOffset],t}}var z=Math.sqrt(3);G.default.RendererGL.prototype._renderText=function(e,t,r,n,o){if(this._textFont&&"string"!=typeof this._textFont){if(!(o<=n)&&this._doFill){if(!this._isOpenType())return console.log("WEBGL: only Opentype (.otf) and Truetype (.ttf) fonts are supported"),e;e.push();var i=this._doStroke,a=this.drawMode;this._doStroke=!1,this.drawMode=k.TEXTURE;var s=this._textFont.font,l=this._textFont._fontInfo;l=l||(this._textFont._fontInfo=new R(s));var u=this._textFont._handleAlignment(this,t,r,n),c=this._textSize/s.unitsPerEm;this.translate(u.x,u.y,0),this.scale(c,c,1);var d=this.GL,f=!this._defaultFontShader,h=this._getFontShader();h.init(),h.bindShader(),f&&(h.setUniform("uGridImageSize",[64,64]),h.setUniform("uCellsImageSize",[64,64]),h.setUniform("uStrokeImageSize",[64,64]),h.setUniform("uGridSize",[9,9])),this._applyColorBlend(this.curFillColor);var p=this.retainedMode.geometry.glyph;if(!p){var y=this._textGeom=new G.default.Geometry(1,1,function(){for(var e=0;e<=1;e++)for(var t=0;t<=1;t++)this.vertices.push(new G.default.Vector(t,e,0)),this.uvs.push(t,e)});y.computeFaces().computeNormals(),p=this.createBuffers("glyph",y)}var m=!0,g=!1,v=void 0;try{for(var b,_=this.retainedMode.buffers.text[Symbol.iterator]();!(m=(b=_.next()).done);m=!0){b.value._prepareBuffer(p,h)}}catch(e){g=!0,v=e}finally{try{m||null==_.return||_.return()}finally{if(g)throw v}}this._bindBuffer(p.indexBuffer,d.ELEMENT_ARRAY_BUFFER),h.setUniform("uMaterialColor",this.curFillColor);try{var x=0,w=null,j=s.stringToGlyphs(t),S=!0,M=!1,E=void 0;try{for(var T,O=j[Symbol.iterator]();!(S=(T=O.next()).done);S=!0){var C=T.value;w&&(x+=s.getKerningValue(w,C));var L=l.getGlyphInfo(C);if(L.uGlyphRect){var P=L.rowInfo,A=L.colInfo;h.setUniform("uSamplerStrokes",L.strokeImageInfo.imageData),h.setUniform("uSamplerRowStrokes",P.cellImageInfo.imageData),h.setUniform("uSamplerRows",P.dimImageInfo.imageData),h.setUniform("uSamplerColStrokes",A.cellImageInfo.imageData),h.setUniform("uSamplerCols",A.dimImageInfo.imageData),h.setUniform("uGridOffset",L.uGridOffset),h.setUniform("uGlyphRect",L.uGlyphRect),h.setUniform("uGlyphOffset",x),h.bindTextures(),d.drawElements(d.TRIANGLES,6,this.GL.UNSIGNED_SHORT,0)}x+=C.advanceWidth,w=C}}catch(e){M=!0,E=e}finally{try{S||null==O.return||O.return()}finally{if(M)throw E}}}finally{h.unbindShader(),this._doStroke=i,this.drawMode=a,e.pop()}return e}}else console.log("WEBGL: you must load and set a font before drawing text. See `loadFont` and `textFont` for more details.")}},{"../core/constants":253,"../core/main":264,"./p5.RendererGL.Retained":317,"./p5.Shader":319,"core-js/modules/es.array.iterator":158,"core-js/modules/es.object.to-string":177,"core-js/modules/es.regexp.exec":181,"core-js/modules/es.string.iterator":186,"core-js/modules/es.string.split":191,"core-js/modules/es.string.sub":192,"core-js/modules/es.symbol":196,"core-js/modules/es.symbol.description":194,"core-js/modules/es.symbol.iterator":195,"core-js/modules/web.dom-collections.iterator":229}]},{},[248])(248)}); \ No newline at end of file diff --git a/math1052/sketches/chapter-01/damped-oscillator/sketch.js b/math1052/sketches/chapter-01/damped-oscillator/sketch.js new file mode 100644 index 000000000..a784d6d90 --- /dev/null +++ b/math1052/sketches/chapter-01/damped-oscillator/sketch.js @@ -0,0 +1,151 @@ +/* +@name Spring +@frame 710, 400 +@description Click, drag, and release the horizontal bar to start the spring. +*/ +// Spring drawing constants for top bar +let springHeight = 32, + left, + right, + maxHeight = 400, + minHeight = 0, + over = false, + move = false, + points = [], + maxPoints = 100; + diam = 60; + +// Spring simulation constants +let M = 10.8, // Mass + K = 0.2, // Spring constant + D = 0.99, // Damping + R = 200; // Rest position + +// Spring simulation letiables +let ps = R, // Position + vs = 0.0, // Velocity + as = 0, // Acceleration + f = 0; // Force + +function setup() { + createCanvas(600, 400); + rectMode(CORNERS); + noStroke(); + left = width / 2 + 100; + right = width / 2 - 100; + + for (let i=0; i