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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width,initial-scale=1">
<title>twgl/m4 - Documentation</title>
<script src="scripts/prettify/prettify.js"></script>
<script src="scripts/prettify/lang-css.js"></script>
<!--[if lt IE 9]>
<script src="//html5shiv.googlecode.com/svn/trunk/html5.js"></script>
<![endif]-->
<link type="text/css" rel="stylesheet" href="https://code.ionicframework.com/ionicons/2.0.1/css/ionicons.min.css">
<link type="text/css" rel="stylesheet" href="styles/prettify-tomorrow.css">
<link type="text/css" rel="stylesheet" href="styles/jsdoc-default.css">
</head>
<body>
<input type="checkbox" id="nav-trigger" class="nav-trigger" />
<label for="nav-trigger" class="navicon-button x">
<div class="navicon"></div>
</label>
<label for="nav-trigger" class="overlay"></label>
<nav>
<li class="nav-link nav-home-link"><a href="index.html">Home</a></li><li class="nav-heading">Modules</li><li class="nav-heading"><span class="nav-item-type type-module">M</span><span class="nav-item-name"><a href="module-twgl.html">twgl</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.addExtensionsToContext">addExtensionsToContext</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.bindFramebufferInfo">bindFramebufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.bindTransformFeedbackInfo">bindTransformFeedbackInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.bindUniformBlock">bindUniformBlock</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.createBufferInfoFromArrays">createBufferInfoFromArrays</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.createFramebufferInfo">createFramebufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.createProgramInfo">createProgramInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.createTexture">createTexture</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.createTextures">createTextures</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.createTransformFeedback">createTransformFeedback</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.createTransformFeedbackInfo">createTransformFeedbackInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.createUniformBlockInfo">createUniformBlockInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.drawBufferInfo">drawBufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.drawObjectList">drawObjectList</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.getContext">getContext</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.getWebGLContext">getWebGLContext</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.isWebGL1">isWebGL1</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.isWebGL2">isWebGL2</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.resizeCanvasToDisplaySize">resizeCanvasToDisplaySize</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.resizeFramebufferInfo">resizeFramebufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.resizeTexture">resizeTexture</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.setAttribInfoBufferFromArray">setAttribInfoBufferFromArray</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.setBlockUniforms">setBlockUniforms</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.setBuffersAndAttributes">setBuffersAndAttributes</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.setDefaults">setDefaults</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.setTextureFromArray">setTextureFromArray</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.setUniformBlock">setUniformBlock</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.setUniforms">setUniforms</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#~create3DContext">create3DContext</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#~createContext">createContext</a></span></li><li class="nav-heading"><span class="nav-item-type type-module">M</span><span class="nav-item-name"><a href="module-twgl_attributes.html">twgl/attributes</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_attributes.html#.createAttribsFromArrays">createAttribsFromArrays</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_attributes.html#.createBufferFromArray">createBufferFromArray</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_attributes.html#.createBufferFromTypedArray">createBufferFromTypedArray</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_attributes.html#.createBufferInfoFromArrays">createBufferInfoFromArrays</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_attributes.html#.createBuffersFromArrays">createBuffersFromArrays</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_attributes.html#.setAttribInfoBufferFromArray">setAttribInfoBufferFromArray</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_attributes.html#.setAttributePrefix">setAttributePrefix</a></span></li><li class="nav-heading"><span class="nav-item-type type-module">M</span><span class="nav-item-name"><a href="module-twgl_draw.html">twgl/draw</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_draw.html#.drawBufferInfo">drawBufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_draw.html#.drawObjectList">drawObjectList</a></span></li><li class="nav-heading"><span class="nav-item-type type-module">M</span><span class="nav-item-name"><a href="module-twgl_framebuffers.html">twgl/framebuffers</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_framebuffers.html#.bindFramebufferInfo">bindFramebufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_framebuffers.html#.createFramebufferInfo">createFramebufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_framebuffers.html#.resizeFramebufferInfo">resizeFramebufferInfo</a></span></li><li class="nav-heading"><span class="nav-item-type type-module">M</span><span class="nav-item-name"><a href="module-twgl_m4.html">twgl/m4</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.axisRotate">axisRotate</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.axisRotation">axisRotation</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.copy">copy</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.frustum">frustum</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.getAxis">getAxis</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.getTranslation">getTranslation</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.identity">identity</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.inverse">inverse</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.lookAt">lookAt</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.multiply">multiply</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.negate">negate</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.ortho">ortho</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.perspective">perspective</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.rotateX">rotateX</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.rotateY">rotateY</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.rotateZ">rotateZ</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.rotationX">rotationX</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.rotationY">rotationY</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.rotationZ">rotationZ</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.scale">scale</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.scaling">scaling</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.setAxis">setAxis</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.setTranslation">setTranslation</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.transformDirection">transformDirection</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.transformNormal">transformNormal</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.transformPoint">transformPoint</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.translate">translate</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.translation">translation</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.transpose">transpose</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#~setDefaultType">setDefaultType</a></span></li><li class="nav-heading"><span class="nav-item-type type-module">M</span><span class="nav-item-name"><a href="module-twgl_primitives.html">twgl/primitives</a></span></li><li 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<div id="main">
<h1 class="page-title">twgl/m4</h1>
<section>
<header>
</header>
<article>
<div class="container-overview">
<div class="description"><p>4x4 Matrix math math functions.</p>
<p>Almost all functions take an optional <code>dst</code> argument. If it is not passed in the<br>functions will create a new matrix. In other words you can do this</p>
<pre class="prettyprint source"><code>const mat = m4.translation([1, 2, 3]); // Creates a new translation matrix</code></pre><p>or</p>
<pre class="prettyprint source"><code>const mat = m4.create();
m4.translation([1, 2, 3], mat); // Puts translation matrix in mat.</code></pre><p>The first style is often easier but depending on where it's used it generates garbage where<br>as there is almost never allocation with the second style.</p>
<p>It is always save to pass any matrix as the destination. So for example</p>
<pre class="prettyprint source"><code>const mat = m4.identity();
const trans = m4.translation([1, 2, 3]);
m4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.</code></pre></div>
<div class="section-method">
<dl class="details">
</dl>
</div>
</div>
<h3 class="subsection-title">Methods</h3>
<div class="section-method">
<h4 class="name" id=".axisRotate"><span class="type-signature">(static) </span>axisRotate<span class="signature">(m, axis, angleInRadians, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> → {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Modifies the given 4-by-4 matrix by rotation around the given axis by the<br>given angle.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>m</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The matrix.</p>
</td>
</tr>
<tr>
<td class="name"><code>axis</code></td>
<td class="type">
<span class="param-type"><code>Vec3</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The axis<br> about which to rotate.</p>
</td>
</tr>
<tr>
<td class="name"><code>angleInRadians</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The angle by which to rotate (in radians).</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
<optional><br>
</td>
<td class="description last">
<p>matrix to hold result. If none new one is created..</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>m once modified.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".axisRotation"><span class="type-signature">(static) </span>axisRotation<span class="signature">(axis, angleInRadians, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> → {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Creates a 4-by-4 matrix which rotates around the given axis by the given<br>angle.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>axis</code></td>
<td class="type">
<span class="param-type"><code>Vec3</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The axis<br> about which to rotate.</p>
</td>
</tr>
<tr>
<td class="name"><code>angleInRadians</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The angle by which to rotate (in radians).</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
<optional><br>
</td>
<td class="description last">
<p>matrix to hold result. If none new one is created..</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>A matrix which rotates angle radians<br> around the axis.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".copy"><span class="type-signature">(static) </span>copy<span class="signature">(m, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> → {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Copies a matrix.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>m</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The matrix.</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
<optional><br>
</td>
<td class="description last">
<p>The matrix.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>A copy of m.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".frustum"><span class="type-signature">(static) </span>frustum<span class="signature">(left, right, bottom, top, near, far, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> → {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Computes a 4-by-4 perspective transformation matrix given the left, right,<br>top, bottom, near and far clipping planes. The arguments define a frustum<br>extending in the negative z direction. The arguments near and far are the<br>distances to the near and far clipping planes. Note that near and far are not<br>z coordinates, but rather they are distances along the negative z-axis. The<br>matrix generated sends the viewing frustum to the unit box. We assume a unit<br>box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z<br>dimension.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>left</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The x coordinate of the left plane of the box.</p>
</td>
</tr>
<tr>
<td class="name"><code>right</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>