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Merge pull request #10 from cscott/9d396a3aef1dd066f7d3fc6184b9920470…
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Fix issue #9 (missing lib/matrix.js)
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philogb committed Nov 29, 2011
2 parents e7f942a + 9d396a3 commit 30da8d4
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//adding matrix 4x4 library
/*
* Copyright (c) 2009, Mozilla Corp
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of the <organization> nor the
* names of its contributors may be used to endorse or promote products
* derived from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY <copyright holder> ''AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
* DISCLAIMED. IN NO EVENT SHALL <copyright holder> BE LIABLE FOR ANY
* DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
* ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/

/*
* Based on sample code from the OpenGL(R) ES 2.0 Programming Guide, which carriers
* the following header:
*
* Book: OpenGL(R) ES 2.0 Programming Guide
* Authors: Aaftab Munshi, Dan Ginsburg, Dave Shreiner
* ISBN-10: 0321502795
* ISBN-13: 9780321502797
* Publisher: Addison-Wesley Professional
* URLs: http://safari.informit.com/9780321563835
* http://www.opengles-book.com
*/

//
// A simple 4x4 Matrix utility class
//

function Matrix4x4() {
this.elements = Array(16);
this.loadIdentity();
}

Matrix4x4.prototype = {
scale: function (sx, sy, sz) {
this.elements[0*4+0] *= sx;
this.elements[0*4+1] *= sx;
this.elements[0*4+2] *= sx;
this.elements[0*4+3] *= sx;

this.elements[1*4+0] *= sy;
this.elements[1*4+1] *= sy;
this.elements[1*4+2] *= sy;
this.elements[1*4+3] *= sy;

this.elements[2*4+0] *= sz;
this.elements[2*4+1] *= sz;
this.elements[2*4+2] *= sz;
this.elements[2*4+3] *= sz;

return this;
},

translate: function (tx, ty, tz) {
this.elements[3*4+0] += this.elements[0*4+0] * tx + this.elements[1*4+0] * ty + this.elements[2*4+0] * tz;
this.elements[3*4+1] += this.elements[0*4+1] * tx + this.elements[1*4+1] * ty + this.elements[2*4+1] * tz;
this.elements[3*4+2] += this.elements[0*4+2] * tx + this.elements[1*4+2] * ty + this.elements[2*4+2] * tz;
this.elements[3*4+3] += this.elements[0*4+3] * tx + this.elements[1*4+3] * ty + this.elements[2*4+3] * tz;

return this;
},

rotate: function (angle, x, y, z) {
var mag = Math.sqrt(x*x + y*y + z*z);
var sinAngle = Math.sin(angle * Math.PI / 180.0);
var cosAngle = Math.cos(angle * Math.PI / 180.0);

if (mag > 0) {
var xx, yy, zz, xy, yz, zx, xs, ys, zs;
var oneMinusCos;
var rotMat;

x /= mag;
y /= mag;
z /= mag;

xx = x * x;
yy = y * y;
zz = z * z;
xy = x * y;
yz = y * z;
zx = z * x;
xs = x * sinAngle;
ys = y * sinAngle;
zs = z * sinAngle;
oneMinusCos = 1.0 - cosAngle;

rotMat = new Matrix4x4();

rotMat.elements[0*4+0] = (oneMinusCos * xx) + cosAngle;
rotMat.elements[0*4+1] = (oneMinusCos * xy) - zs;
rotMat.elements[0*4+2] = (oneMinusCos * zx) + ys;
rotMat.elements[0*4+3] = 0.0;

rotMat.elements[1*4+0] = (oneMinusCos * xy) + zs;
rotMat.elements[1*4+1] = (oneMinusCos * yy) + cosAngle;
rotMat.elements[1*4+2] = (oneMinusCos * yz) - xs;
rotMat.elements[1*4+3] = 0.0;

rotMat.elements[2*4+0] = (oneMinusCos * zx) - ys;
rotMat.elements[2*4+1] = (oneMinusCos * yz) + xs;
rotMat.elements[2*4+2] = (oneMinusCos * zz) + cosAngle;
rotMat.elements[2*4+3] = 0.0;

rotMat.elements[3*4+0] = 0.0;
rotMat.elements[3*4+1] = 0.0;
rotMat.elements[3*4+2] = 0.0;
rotMat.elements[3*4+3] = 1.0;

rotMat = rotMat.multiply(this);
this.elements = rotMat.elements;
}

return this;
},

frustum: function (left, right, bottom, top, nearZ, farZ) {
var deltaX = right - left;
var deltaY = top - bottom;
var deltaZ = farZ - nearZ;
var frust;

if ( (nearZ <= 0.0) || (farZ <= 0.0) ||
(deltaX <= 0.0) || (deltaY <= 0.0) || (deltaZ <= 0.0) )
return this;

frust = new Matrix4x4();

frust.elements[0*4+0] = 2.0 * nearZ / deltaX;
frust.elements[0*4+1] = frust.elements[0*4+2] = frust.elements[0*4+3] = 0.0;

frust.elements[1*4+1] = 2.0 * nearZ / deltaY;
frust.elements[1*4+0] = frust.elements[1*4+2] = frust.elements[1*4+3] = 0.0;

frust.elements[2*4+0] = (right + left) / deltaX;
frust.elements[2*4+1] = (top + bottom) / deltaY;
frust.elements[2*4+2] = -(nearZ + farZ) / deltaZ;
frust.elements[2*4+3] = -1.0;

frust.elements[3*4+2] = -2.0 * nearZ * farZ / deltaZ;
frust.elements[3*4+0] = frust.elements[3*4+1] = frust.elements[3*4+3] = 0.0;

frust = frust.multiply(this);
this.elements = frust.elements;

return this;
},

perspective: function (fovy, aspect, nearZ, farZ) {
var frustumH = Math.tan(fovy / 360.0 * Math.PI) * nearZ;
var frustumW = frustumH * aspect;

return this.frustum(-frustumW, frustumW, -frustumH, frustumH, nearZ, farZ);
},

ortho: function (left, right, bottom, top, nearZ, farZ) {
var deltaX = right - left;
var deltaY = top - bottom;
var deltaZ = farZ - nearZ;

var ortho = new Matrix4x4();

if ( (deltaX == 0.0) || (deltaY == 0.0) || (deltaZ == 0.0) )
return this;

ortho.elements[0*4+0] = 2.0 / deltaX;
ortho.elements[3*4+0] = -(right + left) / deltaX;
ortho.elements[1*4+1] = 2.0 / deltaY;
ortho.elements[3*4+1] = -(top + bottom) / deltaY;
ortho.elements[2*4+2] = -2.0 / deltaZ;
ortho.elements[3*4+2] = -(nearZ + farZ) / deltaZ;

ortho = ortho.multiply(this);
this.elements = ortho.elements;

return this;
},

multiply: function (right) {
var tmp = new Matrix4x4();

for (var i = 0; i < 4; i++) {
tmp.elements[i*4+0] =
(this.elements[i*4+0] * right.elements[0*4+0]) +
(this.elements[i*4+1] * right.elements[1*4+0]) +
(this.elements[i*4+2] * right.elements[2*4+0]) +
(this.elements[i*4+3] * right.elements[3*4+0]) ;

tmp.elements[i*4+1] =
(this.elements[i*4+0] * right.elements[0*4+1]) +
(this.elements[i*4+1] * right.elements[1*4+1]) +
(this.elements[i*4+2] * right.elements[2*4+1]) +
(this.elements[i*4+3] * right.elements[3*4+1]) ;

tmp.elements[i*4+2] =
(this.elements[i*4+0] * right.elements[0*4+2]) +
(this.elements[i*4+1] * right.elements[1*4+2]) +
(this.elements[i*4+2] * right.elements[2*4+2]) +
(this.elements[i*4+3] * right.elements[3*4+2]) ;

tmp.elements[i*4+3] =
(this.elements[i*4+0] * right.elements[0*4+3]) +
(this.elements[i*4+1] * right.elements[1*4+3]) +
(this.elements[i*4+2] * right.elements[2*4+3]) +
(this.elements[i*4+3] * right.elements[3*4+3]) ;
}

this.elements = tmp.elements;
return this;
},

loadIdentity: function () {
for (var i = 0; i < 16; i++)
this.elements[i] = 0;
this.elements[0*4+0] = 1.0;
this.elements[1*4+1] = 1.0;
this.elements[2*4+2] = 1.0;
this.elements[3*4+3] = 1.0;
return this;
}
};

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