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6100 lines
84 KiB
HTML
6100 lines
84 KiB
HTML
<!DOCTYPE html>
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<html lang="en">
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<head>
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<meta charset="utf-8">
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<title>TWGL Module: twgl.m4</title>
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<link type="text/css" rel="stylesheet" href="styles/site.cerulean.css">
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</head>
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<body>
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<div class="container-fluid">
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<div class="navbar navbar-fixed-top navbar-inverse">
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<div class="navbar-inner">
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<a class="brand" href="index.html">TWGL</a>
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<li class="dropdown">
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<a href="modules.list.html" class="dropdown-toggle" data-toggle="dropdown">Modules<b
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class="caret"></b></a>
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<ul class="dropdown-menu ">
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<li>
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<a href="module-twgl.html">twgl</a>
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<li>
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<a href="m4.html">twgl/m4</a>
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<li>
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<a href="primitives.html">twgl/primitives</a>
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</li>
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<li>
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<a href="v3.html">twgl/v3</a>
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</ul>
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</div>
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<div class="row-fluid">
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<div class="span8">
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<div id="main">
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<h1 class="page-title">Module: twgl.m4</h1>
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<section>
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<header>
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<h2>
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twgl/m4
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</h2>
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</header>
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<article>
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<div class="container-overview">
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<div class="description"><p>4x4 Matrix math math functions.</p>
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<p>Almost all functions take an optional <code>dst</code> argument. If it is not passed in the
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functions will create a new matrix. In other words you can do this</p>
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<pre><code>var mat = m4.translation([1, 2, 3]); // Creates a new translation matrix</code></pre>
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<p>or</p>
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<pre><code>var mat = m4.create();
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m4.translation([1, 2, 3], mat); // Puts translation matrix in mat.</code></pre>
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<p>The first style is often easier but depending on where it's used it generates garbage where
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as there is almost never allocation with the second style.</p>
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<p>It is always save to pass any matrix as the destination. So for example</p>
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<pre><code>var mat = m4.identity();
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var trans = m4.translation([1, 2, 3]);
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m4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.</code></pre></div>
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<dl class="details">
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</dl>
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</div>
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<h3 class="subsection-title">Methods</h3>
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<dl>
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<dt>
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<h4 class="name" id="axisRotate"><span class="type-signature"> </span>axisRotate<span class="signature">(m, axis, angleInRadians, <span class="optional">dst</span>)</span><span class="type-signature"> → {<a href="m4.html#Mat4">Mat4</a>}</span></h4>
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</dt>
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<dd>
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<div class="description">
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<p>Modifies the given 4-by-4 matrix by rotation around the given axis by the
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given angle.</p>
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</div>
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<h5>Parameters:</h5>
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<table class="params table table-striped">
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<thead>
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<tr>
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<th>Name</th>
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<th>Type</th>
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<th>Argument</th>
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<th class="last">Description</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td class="name"><code>m</code></td>
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<td class="type">
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<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
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</td>
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<td class="attributes">
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</td>
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<td class="description last"><p>The matrix.</p></td>
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</tr>
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<tr>
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<td class="name"><code>axis</code></td>
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<td class="type">
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<span class="param-type">Vec3</span>
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</td>
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<td class="attributes">
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</td>
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<td class="description last"><p>The axis
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about which to rotate.</p></td>
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</tr>
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<tr>
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<td class="name"><code>angleInRadians</code></td>
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<td class="type">
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<span class="param-type">number</span>
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</td>
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<td class="attributes">
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</td>
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<td class="description last"><p>The angle by which to rotate (in radians).</p></td>
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</tr>
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<tr>
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<td class="name"><code>dst</code></td>
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<td class="type">
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<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
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</td>
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<td class="attributes">
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<optional><br>
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</td>
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<td class="description last"><p>matrix to hold result. If none new one is created..</p></td>
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</tr>
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</tbody>
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</table>
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<dl class="details">
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</dl>
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<h5>Returns:</h5>
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<div class="param-desc">
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<p>m once modified.</p>
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</div>
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<dl>
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<dt>
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Type
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</dt>
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<dd>
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<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
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</dd>
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</dl>
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</dd>
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<dt>
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<h4 class="name" id="axisRotation"><span class="type-signature"> </span>axisRotation<span class="signature">(axis, angleInRadians, <span class="optional">dst</span>)</span><span class="type-signature"> → {<a href="m4.html#Mat4">Mat4</a>}</span></h4>
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</dt>
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<dd>
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<div class="description">
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<p>Creates a 4-by-4 matrix which rotates around the given axis by the given
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angle.</p>
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</div>
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<h5>Parameters:</h5>
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<table class="params table table-striped">
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<thead>
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<tr>
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<th>Name</th>
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<th>Type</th>
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<th>Argument</th>
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<th class="last">Description</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td class="name"><code>axis</code></td>
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<td class="type">
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<span class="param-type">Vec3</span>
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</td>
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<td class="attributes">
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</td>
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<td class="description last"><p>The axis
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about which to rotate.</p></td>
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</tr>
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<tr>
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<td class="name"><code>angleInRadians</code></td>
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<td class="type">
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<span class="param-type">number</span>
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</td>
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<td class="attributes">
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</td>
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<td class="description last"><p>The angle by which to rotate (in radians).</p></td>
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</tr>
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<tr>
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<td class="name"><code>dst</code></td>
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<td class="type">
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<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
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</td>
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<td class="attributes">
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<optional><br>
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</td>
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<td class="description last"><p>matrix to hold result. If none new one is created..</p></td>
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</tr>
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</tbody>
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</table>
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<dl class="details">
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</dl>
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<h5>Returns:</h5>
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<div class="param-desc">
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<p>A matrix which rotates angle radians
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around the axis.</p>
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</div>
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<dl>
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<dt>
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Type
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</dt>
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<dd>
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<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
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</dd>
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</dl>
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</dd>
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<dt>
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<h4 class="name" id="copy"><span class="type-signature"> </span>copy<span class="signature">(m, <span class="optional">dst</span>)</span><span class="type-signature"> → {<a href="m4.html#Mat4">Mat4</a>}</span></h4>
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</dt>
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<dd>
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<div class="description">
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<p>Copies a matrix.</p>
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</div>
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<h5>Parameters:</h5>
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<table class="params table table-striped">
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<thead>
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<tr>
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<th>Name</th>
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<th>Type</th>
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<th>Argument</th>
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<th class="last">Description</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td class="name"><code>m</code></td>
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<td class="type">
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<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
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</td>
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<td class="attributes">
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</td>
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<td class="description last"><p>The matrix.</p></td>
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</tr>
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<tr>
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<td class="name"><code>dst</code></td>
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<td class="type">
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<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
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</td>
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<td class="attributes">
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<optional><br>
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</td>
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<td class="description last"><p>The matrix.</p></td>
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</tr>
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</tbody>
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</table>
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<dl class="details">
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</dl>
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<h5>Returns:</h5>
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<div class="param-desc">
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<p>A copy of m.</p>
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</div>
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<dl>
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<dt>
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Type
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</dt>
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<dd>
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<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
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</dd>
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</dl>
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</dd>
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<dt>
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<h4 class="name" id="frustum"><span class="type-signature"> </span>frustum<span class="signature">(left, right, bottom, top, near, far, <span class="optional">dst</span>)</span><span class="type-signature"> → {<a href="m4.html#Mat4">Mat4</a>}</span></h4>
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</dt>
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<dd>
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<div class="description">
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<p>Computes a 4-by-4 perspective transformation matrix given the left, right,
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top, bottom, near and far clipping planes. The arguments define a frustum
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extending in the negative z direction. The arguments near and far are the
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distances to the near and far clipping planes. Note that near and far are not
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z coordinates, but rather they are distances along the negative z-axis. The
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matrix generated sends the viewing frustum to the unit box. We assume a unit
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box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z
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dimension.</p>
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</div>
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<h5>Parameters:</h5>
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<table class="params table table-striped">
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<thead>
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<tr>
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<th>Name</th>
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<th>Type</th>
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<th>Argument</th>
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<th class="last">Description</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td class="name"><code>left</code></td>
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<td class="type">
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<span class="param-type">number</span>
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</td>
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|
<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">number</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The x coordinate of the right plane of the box.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>bottom</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">number</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The y coordinate of the bottom plane of the box.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>top</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">number</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The y coordinate of the right plane of the box.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>near</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">number</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The negative z coordinate of the near plane of the box.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>far</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">number</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The negative z coordinate of the far plane of the box.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>dst</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
<optional><br>
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>Output matrix.</p></td>
|
|
</tr>
|
|
|
|
|
|
</tbody>
|
|
</table>
|
|
|
|
|
|
|
|
|
|
<dl class="details">
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Returns:</h5>
|
|
|
|
|
|
<div class="param-desc">
|
|
<p>The perspective projection matrix.</p>
|
|
</div>
|
|
|
|
|
|
|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
</dd>
|
|
|
|
|
|
|
|
<dt>
|
|
<h4 class="name" id="getAxis"><span class="type-signature"> </span>getAxis<span class="signature">(m, axis)</span><span class="type-signature"> → {Vec3}</span></h4>
|
|
|
|
|
|
</dt>
|
|
<dd>
|
|
|
|
|
|
<div class="description">
|
|
<p>Returns the axis of a 4x4 matrix as a vector with 3 entries</p>
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Parameters:</h5>
|
|
|
|
|
|
<table class="params table table-striped">
|
|
<thead>
|
|
<tr>
|
|
|
|
<th>Name</th>
|
|
|
|
|
|
<th>Type</th>
|
|
|
|
|
|
|
|
|
|
|
|
<th class="last">Description</th>
|
|
</tr>
|
|
</thead>
|
|
|
|
<tbody>
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>m</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
|
|
</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">number</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The axis 0 = x, 1 = y, 2 = z;</p></td>
|
|
</tr>
|
|
|
|
|
|
</tbody>
|
|
</table>
|
|
|
|
|
|
|
|
|
|
<dl class="details">
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Returns:</h5>
|
|
<ul>
|
|
<li>
|
|
<div class="param-desc">
|
|
<p>[dst] vector.</p>
|
|
</div>
|
|
|
|
|
|
|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type">Vec3</span>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
</li>
|
|
|
|
<li>
|
|
<div class="param-desc">
|
|
<p>The axis component of m.</p>
|
|
</div>
|
|
|
|
|
|
|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type">Vec3</span>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
</li>
|
|
</ul>
|
|
|
|
|
|
</dd>
|
|
|
|
|
|
|
|
<dt>
|
|
<h4 class="name" id="getTranslation"><span class="type-signature"> </span>getTranslation<span class="signature">(m)</span><span class="type-signature"> → {Vec3}</span></h4>
|
|
|
|
|
|
</dt>
|
|
<dd>
|
|
|
|
|
|
<div class="description">
|
|
<p>Returns the translation component of a 4-by-4 matrix as a vector with 3
|
|
entries.</p>
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Parameters:</h5>
|
|
|
|
|
|
<table class="params table table-striped">
|
|
<thead>
|
|
<tr>
|
|
|
|
<th>Name</th>
|
|
|
|
|
|
<th>Type</th>
|
|
|
|
|
|
|
|
|
|
|
|
<th class="last">Description</th>
|
|
</tr>
|
|
</thead>
|
|
|
|
<tbody>
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>m</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The matrix.</p></td>
|
|
</tr>
|
|
|
|
|
|
</tbody>
|
|
</table>
|
|
|
|
|
|
|
|
|
|
<dl class="details">
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Returns:</h5>
|
|
<ul>
|
|
<li>
|
|
<div class="param-desc">
|
|
<p>[dst] vector..</p>
|
|
</div>
|
|
|
|
|
|
|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type">Vec3</span>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
</li>
|
|
|
|
<li>
|
|
<div class="param-desc">
|
|
<p>The translation component of m.</p>
|
|
</div>
|
|
|
|
|
|
|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type">Vec3</span>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
</li>
|
|
</ul>
|
|
|
|
|
|
</dd>
|
|
|
|
|
|
|
|
<dt>
|
|
<h4 class="name" id="identity"><span class="type-signature"> </span>identity<span class="signature">(<span class="optional">dst</span>)</span><span class="type-signature"> → {<a href="m4.html#Mat4">Mat4</a>}</span></h4>
|
|
|
|
|
|
</dt>
|
|
<dd>
|
|
|
|
|
|
<div class="description">
|
|
<p>Creates an n-by-n identity matrix.</p>
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Parameters:</h5>
|
|
|
|
|
|
<table class="params table table-striped">
|
|
<thead>
|
|
<tr>
|
|
|
|
<th>Name</th>
|
|
|
|
|
|
<th>Type</th>
|
|
|
|
|
|
<th>Argument</th>
|
|
|
|
|
|
|
|
|
|
<th class="last">Description</th>
|
|
</tr>
|
|
</thead>
|
|
|
|
<tbody>
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>dst</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></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>
|
|
|
|
|
|
|
|
|
|
<dl class="details">
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Returns:</h5>
|
|
|
|
|
|
<div class="param-desc">
|
|
<p>An n-by-n identity matrix.</p>
|
|
</div>
|
|
|
|
|
|
|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
</dd>
|
|
|
|
|
|
|
|
<dt>
|
|
<h4 class="name" id="inverse"><span class="type-signature"> </span>inverse<span class="signature">(m, <span class="optional">dst</span>)</span><span class="type-signature"> → {<a href="m4.html#Mat4">Mat4</a>}</span></h4>
|
|
|
|
|
|
</dt>
|
|
<dd>
|
|
|
|
|
|
<div class="description">
|
|
<p>Computes the inverse of a 4-by-4 matrix.</p>
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Parameters:</h5>
|
|
|
|
|
|
<table class="params table table-striped">
|
|
<thead>
|
|
<tr>
|
|
|
|
<th>Name</th>
|
|
|
|
|
|
<th>Type</th>
|
|
|
|
|
|
<th>Argument</th>
|
|
|
|
|
|
|
|
|
|
<th class="last">Description</th>
|
|
</tr>
|
|
</thead>
|
|
|
|
<tbody>
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>m</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></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"><a href="m4.html#Mat4">Mat4</a></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>
|
|
|
|
|
|
|
|
|
|
<dl class="details">
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Returns:</h5>
|
|
|
|
|
|
<div class="param-desc">
|
|
<p>The inverse of m.</p>
|
|
</div>
|
|
|
|
|
|
|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
</dd>
|
|
|
|
|
|
|
|
<dt>
|
|
<h4 class="name" id="lookAt"><span class="type-signature"> </span>lookAt<span class="signature">(eye, target, up, <span class="optional">dst</span>)</span><span class="type-signature"> → {<a href="m4.html#Mat4">Mat4</a>}</span></h4>
|
|
|
|
|
|
</dt>
|
|
<dd>
|
|
|
|
|
|
<div class="description">
|
|
<p>Computes a 4-by-4 look-at transformation.</p>
|
|
<p>This is a matrix which positions the camera itself. If you want
|
|
a view matrix (a matrix which moves things in front of the camera)
|
|
take the inverse of this.</p>
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Parameters:</h5>
|
|
|
|
|
|
<table class="params table table-striped">
|
|
<thead>
|
|
<tr>
|
|
|
|
<th>Name</th>
|
|
|
|
|
|
<th>Type</th>
|
|
|
|
|
|
<th>Argument</th>
|
|
|
|
|
|
|
|
|
|
<th class="last">Description</th>
|
|
</tr>
|
|
</thead>
|
|
|
|
<tbody>
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>eye</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">Vec3</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The position of the eye.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>target</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">Vec3</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The position meant to be viewed.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>up</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">Vec3</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>A vector pointing up.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>dst</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></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>
|
|
|
|
|
|
|
|
|
|
<dl class="details">
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Returns:</h5>
|
|
|
|
|
|
<div class="param-desc">
|
|
<p>The look-at matrix.</p>
|
|
</div>
|
|
|
|
|
|
|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
</dd>
|
|
|
|
|
|
|
|
<dt>
|
|
<h4 class="name" id="multiply"><span class="type-signature"> </span>multiply<span class="signature">(a, b, <span class="optional">dst</span>)</span><span class="type-signature"> → {<a href="m4.html#Mat4">Mat4</a>}</span></h4>
|
|
|
|
|
|
</dt>
|
|
<dd>
|
|
|
|
|
|
<div class="description">
|
|
<p>Multiplies two 4-by-4 matrices; assumes that the given matrices are 4-by-4;
|
|
assumes matrix entries are accessed in [row][column] fashion.</p>
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Parameters:</h5>
|
|
|
|
|
|
<table class="params table table-striped">
|
|
<thead>
|
|
<tr>
|
|
|
|
<th>Name</th>
|
|
|
|
|
|
<th>Type</th>
|
|
|
|
|
|
<th>Argument</th>
|
|
|
|
|
|
|
|
|
|
<th class="last">Description</th>
|
|
</tr>
|
|
</thead>
|
|
|
|
<tbody>
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>a</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The matrix on the left.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>b</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The matrix on the right.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>dst</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></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>
|
|
|
|
|
|
|
|
|
|
<dl class="details">
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Returns:</h5>
|
|
|
|
|
|
<div class="param-desc">
|
|
<p>The matrix product of a and b.</p>
|
|
</div>
|
|
|
|
|
|
|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
</dd>
|
|
|
|
|
|
|
|
<dt>
|
|
<h4 class="name" id="negate"><span class="type-signature"> </span>negate<span class="signature">(m, <span class="optional">dst</span>)</span><span class="type-signature"> → {<a href="m4.html#Mat4">Mat4</a>}</span></h4>
|
|
|
|
|
|
</dt>
|
|
<dd>
|
|
|
|
|
|
<div class="description">
|
|
<p>Negates a matrix.</p>
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Parameters:</h5>
|
|
|
|
|
|
<table class="params table table-striped">
|
|
<thead>
|
|
<tr>
|
|
|
|
<th>Name</th>
|
|
|
|
|
|
<th>Type</th>
|
|
|
|
|
|
<th>Argument</th>
|
|
|
|
|
|
|
|
|
|
<th class="last">Description</th>
|
|
</tr>
|
|
</thead>
|
|
|
|
<tbody>
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>m</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></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"><a href="m4.html#Mat4">Mat4</a></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>
|
|
|
|
|
|
|
|
|
|
<dl class="details">
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Returns:</h5>
|
|
|
|
|
|
<div class="param-desc">
|
|
<p>-m.</p>
|
|
</div>
|
|
|
|
|
|
|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
</dd>
|
|
|
|
|
|
|
|
<dt>
|
|
<h4 class="name" id="ortho"><span class="type-signature"> </span>ortho<span class="signature">(left, right, top, bottom, near, far, <span class="optional">dst</span>)</span><span class="type-signature"> → {<a href="m4.html#Mat4">Mat4</a>}</span></h4>
|
|
|
|
|
|
</dt>
|
|
<dd>
|
|
|
|
|
|
<div class="description">
|
|
<p>Computes a 4-by-4 othogonal transformation matrix given the left, right,
|
|
bottom, and top dimensions of the near clipping plane as well as the
|
|
near and far clipping plane distances.</p>
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Parameters:</h5>
|
|
|
|
|
|
<table class="params table table-striped">
|
|
<thead>
|
|
<tr>
|
|
|
|
<th>Name</th>
|
|
|
|
|
|
<th>Type</th>
|
|
|
|
|
|
<th>Argument</th>
|
|
|
|
|
|
|
|
|
|
<th class="last">Description</th>
|
|
</tr>
|
|
</thead>
|
|
|
|
<tbody>
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>left</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">number</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>Left side of the near clipping plane viewport.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>right</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">number</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>Right side of the near clipping plane viewport.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>top</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">number</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>Top of the near clipping plane viewport.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>bottom</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">number</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>Bottom of the near clipping plane viewport.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>near</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">number</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The depth (negative z coordinate)
|
|
of the near clipping plane.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>far</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">number</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The depth (negative z coordinate)
|
|
of the far clipping plane.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>dst</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
<optional><br>
|
|
|
|
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|
|
|
|
|
|
</td>
|
|
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|
|
|
|
|
|
<td class="description last"><p>Output matrix.</p></td>
|
|
</tr>
|
|
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|
|
|
</tbody>
|
|
</table>
|
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|
<dl class="details">
|
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</dl>
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<h5>Returns:</h5>
|
|
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|
|
|
<div class="param-desc">
|
|
<p>The perspective matrix.</p>
|
|
</div>
|
|
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|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
</dd>
|
|
</dl>
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</dd>
|
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<dt>
|
|
<h4 class="name" id="perspective"><span class="type-signature"> </span>perspective<span class="signature">(fieldOfViewYInRadians, aspect, zNear, zFar, <span class="optional">dst</span>)</span><span class="type-signature"> → {<a href="m4.html#Mat4">Mat4</a>}</span></h4>
|
|
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</dt>
|
|
<dd>
|
|
|
|
|
|
<div class="description">
|
|
<p>Computes a 4-by-4 perspective transformation matrix given the angular height
|
|
of the frustum, the aspect ratio, and the near and far clipping planes. The
|
|
arguments define a frustum extending in the negative z direction. The given
|
|
angle is the vertical angle of the frustum, and the horizontal angle is
|
|
determined to produce the given aspect ratio. The arguments near and far are
|
|
the distances to the near and far clipping planes. Note that near and far
|
|
are not z coordinates, but rather they are distances along the negative
|
|
z-axis. The matrix generated sends the viewing frustum to the unit box.
|
|
We assume a unit box extending from -1 to 1 in the x and y dimensions and
|
|
from 0 to 1 in the z dimension.</p>
|
|
</div>
|
|
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|
|
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|
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|
|
|
|
|
<h5>Parameters:</h5>
|
|
|
|
|
|
<table class="params table table-striped">
|
|
<thead>
|
|
<tr>
|
|
|
|
<th>Name</th>
|
|
|
|
|
|
<th>Type</th>
|
|
|
|
|
|
<th>Argument</th>
|
|
|
|
|
|
|
|
|
|
<th class="last">Description</th>
|
|
</tr>
|
|
</thead>
|
|
|
|
<tbody>
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>fieldOfViewYInRadians</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">number</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
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</td>
|
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|
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<td class="description last"><p>The camera angle from top to bottom (in radians).</p></td>
|
|
</tr>
|
|
|
|
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|
|
|
<tr>
|
|
|
|
<td class="name"><code>aspect</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">number</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
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|
|
<td class="description last"><p>The aspect ratio width / height.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>zNear</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">number</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The depth (negative z coordinate)
|
|
of the near clipping plane.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>zFar</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">number</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The depth (negative z coordinate)
|
|
of the far clipping plane.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>dst</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></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>
|
|
|
|
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|
|
|
|
|
<dl class="details">
|
|
|
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|
</dl>
|
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|
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|
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|
|
|
|
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|
|
|
|
|
|
<h5>Returns:</h5>
|
|
|
|
|
|
<div class="param-desc">
|
|
<p>The perspective matrix.</p>
|
|
</div>
|
|
|
|
|
|
|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
</dd>
|
|
|
|
|
|
|
|
<dt>
|
|
<h4 class="name" id="rotateX"><span class="type-signature"> </span>rotateX<span class="signature">(m, angleInRadians, <span class="optional">dst</span>)</span><span class="type-signature"> → {<a href="m4.html#Mat4">Mat4</a>}</span></h4>
|
|
|
|
|
|
</dt>
|
|
<dd>
|
|
|
|
|
|
<div class="description">
|
|
<p>Modifies the given 4-by-4 matrix by a rotation around the x-axis by the given
|
|
angle.</p>
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Parameters:</h5>
|
|
|
|
|
|
<table class="params table table-striped">
|
|
<thead>
|
|
<tr>
|
|
|
|
<th>Name</th>
|
|
|
|
|
|
<th>Type</th>
|
|
|
|
|
|
<th>Argument</th>
|
|
|
|
|
|
|
|
|
|
<th class="last">Description</th>
|
|
</tr>
|
|
</thead>
|
|
|
|
<tbody>
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>m</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The matrix.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>angleInRadians</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">number</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"><a href="m4.html#Mat4">Mat4</a></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>
|
|
|
|
|
|
|
|
|
|
<dl class="details">
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Returns:</h5>
|
|
|
|
|
|
<div class="param-desc">
|
|
<p>m once modified.</p>
|
|
</div>
|
|
|
|
|
|
|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
</dd>
|
|
|
|
|
|
|
|
<dt>
|
|
<h4 class="name" id="rotateY"><span class="type-signature"> </span>rotateY<span class="signature">(m, angleInRadians, <span class="optional">dst</span>)</span><span class="type-signature"> → {<a href="m4.html#Mat4">Mat4</a>}</span></h4>
|
|
|
|
|
|
</dt>
|
|
<dd>
|
|
|
|
|
|
<div class="description">
|
|
<p>Modifies the given 4-by-4 matrix by a rotation around the y-axis by the given
|
|
angle.</p>
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Parameters:</h5>
|
|
|
|
|
|
<table class="params table table-striped">
|
|
<thead>
|
|
<tr>
|
|
|
|
<th>Name</th>
|
|
|
|
|
|
<th>Type</th>
|
|
|
|
|
|
<th>Argument</th>
|
|
|
|
|
|
|
|
|
|
<th class="last">Description</th>
|
|
</tr>
|
|
</thead>
|
|
|
|
<tbody>
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>m</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The matrix.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>angleInRadians</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">number</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"><a href="m4.html#Mat4">Mat4</a></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>
|
|
|
|
|
|
|
|
|
|
<dl class="details">
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Returns:</h5>
|
|
|
|
|
|
<div class="param-desc">
|
|
<p>m once modified.</p>
|
|
</div>
|
|
|
|
|
|
|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
</dd>
|
|
|
|
|
|
|
|
<dt>
|
|
<h4 class="name" id="rotateZ"><span class="type-signature"> </span>rotateZ<span class="signature">(m, angleInRadians, <span class="optional">dst</span>)</span><span class="type-signature"> → {<a href="m4.html#Mat4">Mat4</a>}</span></h4>
|
|
|
|
|
|
</dt>
|
|
<dd>
|
|
|
|
|
|
<div class="description">
|
|
<p>Modifies the given 4-by-4 matrix by a rotation around the z-axis by the given
|
|
angle.</p>
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Parameters:</h5>
|
|
|
|
|
|
<table class="params table table-striped">
|
|
<thead>
|
|
<tr>
|
|
|
|
<th>Name</th>
|
|
|
|
|
|
<th>Type</th>
|
|
|
|
|
|
<th>Argument</th>
|
|
|
|
|
|
|
|
|
|
<th class="last">Description</th>
|
|
</tr>
|
|
</thead>
|
|
|
|
<tbody>
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>m</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The matrix.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>angleInRadians</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">number</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"><a href="m4.html#Mat4">Mat4</a></span>
|
|
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|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
<optional><br>
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
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|
|
|
|
|
|
|
<td class="description last"><p>matrix to hold result. If none new one is created..</p></td>
|
|
</tr>
|
|
|
|
|
|
</tbody>
|
|
</table>
|
|
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|
<dl class="details">
|
|
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</dl>
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<h5>Returns:</h5>
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<div class="param-desc">
|
|
<p>m once modified.</p>
|
|
</div>
|
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<dl>
|
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<dt>
|
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Type
|
|
</dt>
|
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<dd>
|
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|
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<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
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</dd>
|
|
</dl>
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</dd>
|
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|
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<dt>
|
|
<h4 class="name" id="rotationX"><span class="type-signature"> </span>rotationX<span class="signature">(angleInRadians, <span class="optional">dst</span>)</span><span class="type-signature"> → {<a href="m4.html#Mat4">Mat4</a>}</span></h4>
|
|
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|
|
</dt>
|
|
<dd>
|
|
|
|
|
|
<div class="description">
|
|
<p>Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.</p>
|
|
</div>
|
|
|
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|
|
|
|
|
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|
|
|
|
<h5>Parameters:</h5>
|
|
|
|
|
|
<table class="params table table-striped">
|
|
<thead>
|
|
<tr>
|
|
|
|
<th>Name</th>
|
|
|
|
|
|
<th>Type</th>
|
|
|
|
|
|
<th>Argument</th>
|
|
|
|
|
|
|
|
|
|
<th class="last">Description</th>
|
|
</tr>
|
|
</thead>
|
|
|
|
<tbody>
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>angleInRadians</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">number</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"><a href="m4.html#Mat4">Mat4</a></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>
|
|
|
|
|
|
|
|
|
|
<dl class="details">
|
|
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|
</dl>
|
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|
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|
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|
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|
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|
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|
|
|
<h5>Returns:</h5>
|
|
|
|
|
|
<div class="param-desc">
|
|
<p>The rotation matrix.</p>
|
|
</div>
|
|
|
|
|
|
|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
</dd>
|
|
|
|
|
|
|
|
<dt>
|
|
<h4 class="name" id="rotationY"><span class="type-signature"> </span>rotationY<span class="signature">(angleInRadians, <span class="optional">dst</span>)</span><span class="type-signature"> → {<a href="m4.html#Mat4">Mat4</a>}</span></h4>
|
|
|
|
|
|
</dt>
|
|
<dd>
|
|
|
|
|
|
<div class="description">
|
|
<p>Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.</p>
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Parameters:</h5>
|
|
|
|
|
|
<table class="params table table-striped">
|
|
<thead>
|
|
<tr>
|
|
|
|
<th>Name</th>
|
|
|
|
|
|
<th>Type</th>
|
|
|
|
|
|
<th>Argument</th>
|
|
|
|
|
|
|
|
|
|
<th class="last">Description</th>
|
|
</tr>
|
|
</thead>
|
|
|
|
<tbody>
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>angleInRadians</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">number</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"><a href="m4.html#Mat4">Mat4</a></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>
|
|
|
|
|
|
|
|
|
|
<dl class="details">
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Returns:</h5>
|
|
|
|
|
|
<div class="param-desc">
|
|
<p>The rotation matrix.</p>
|
|
</div>
|
|
|
|
|
|
|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
</dd>
|
|
|
|
|
|
|
|
<dt>
|
|
<h4 class="name" id="rotationZ"><span class="type-signature"> </span>rotationZ<span class="signature">(angleInRadians, <span class="optional">dst</span>)</span><span class="type-signature"> → {<a href="m4.html#Mat4">Mat4</a>}</span></h4>
|
|
|
|
|
|
</dt>
|
|
<dd>
|
|
|
|
|
|
<div class="description">
|
|
<p>Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.</p>
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Parameters:</h5>
|
|
|
|
|
|
<table class="params table table-striped">
|
|
<thead>
|
|
<tr>
|
|
|
|
<th>Name</th>
|
|
|
|
|
|
<th>Type</th>
|
|
|
|
|
|
<th>Argument</th>
|
|
|
|
|
|
|
|
|
|
<th class="last">Description</th>
|
|
</tr>
|
|
</thead>
|
|
|
|
<tbody>
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>angleInRadians</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">number</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"><a href="m4.html#Mat4">Mat4</a></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>
|
|
|
|
|
|
|
|
|
|
<dl class="details">
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Returns:</h5>
|
|
|
|
|
|
<div class="param-desc">
|
|
<p>The rotation matrix.</p>
|
|
</div>
|
|
|
|
|
|
|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
</dd>
|
|
|
|
|
|
|
|
<dt>
|
|
<h4 class="name" id="scale"><span class="type-signature"> </span>scale<span class="signature">(m, v, <span class="optional">dst</span>)</span><span class="type-signature"> → {<a href="m4.html#Mat4">Mat4</a>}</span></h4>
|
|
|
|
|
|
</dt>
|
|
<dd>
|
|
|
|
|
|
<div class="description">
|
|
<p>Modifies the given 4-by-4 matrix, scaling in each dimension by an amount
|
|
given by the corresponding entry in the given vector; assumes the vector has
|
|
three entries.</p>
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Parameters:</h5>
|
|
|
|
|
|
<table class="params table table-striped">
|
|
<thead>
|
|
<tr>
|
|
|
|
<th>Name</th>
|
|
|
|
|
|
<th>Type</th>
|
|
|
|
|
|
<th>Argument</th>
|
|
|
|
|
|
|
|
|
|
<th class="last">Description</th>
|
|
</tr>
|
|
</thead>
|
|
|
|
<tbody>
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>m</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The matrix to be modified.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>v</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">Vec3</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>A vector of three entries specifying the
|
|
factor by which to scale in each dimension.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>dst</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></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>
|
|
|
|
|
|
|
|
|
|
<dl class="details">
|
|
|
|
|
|
|
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|
|
|
|
|
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|
|
|
|
|
|
</dl>
|
|
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|
|
|
|
|
|
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|
|
|
|
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|
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|
|
|
|
|
|
|
<h5>Returns:</h5>
|
|
|
|
|
|
<div class="param-desc">
|
|
<p>m once modified.</p>
|
|
</div>
|
|
|
|
|
|
|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
</dd>
|
|
|
|
|
|
|
|
<dt>
|
|
<h4 class="name" id="scaling"><span class="type-signature"> </span>scaling<span class="signature">(v, <span class="optional">dst</span>)</span><span class="type-signature"> → {<a href="m4.html#Mat4">Mat4</a>}</span></h4>
|
|
|
|
|
|
</dt>
|
|
<dd>
|
|
|
|
|
|
<div class="description">
|
|
<p>Creates a 4-by-4 matrix which scales in each dimension by an amount given by
|
|
the corresponding entry in the given vector; assumes the vector has three
|
|
entries.</p>
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Parameters:</h5>
|
|
|
|
|
|
<table class="params table table-striped">
|
|
<thead>
|
|
<tr>
|
|
|
|
<th>Name</th>
|
|
|
|
|
|
<th>Type</th>
|
|
|
|
|
|
<th>Argument</th>
|
|
|
|
|
|
|
|
|
|
<th class="last">Description</th>
|
|
</tr>
|
|
</thead>
|
|
|
|
<tbody>
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>v</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">Vec3</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>A vector of
|
|
three entries specifying the factor by which to scale in each dimension.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>dst</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></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>
|
|
|
|
|
|
|
|
|
|
<dl class="details">
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Returns:</h5>
|
|
|
|
|
|
<div class="param-desc">
|
|
<p>The scaling matrix.</p>
|
|
</div>
|
|
|
|
|
|
|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
</dd>
|
|
|
|
|
|
|
|
<dt>
|
|
<h4 class="name" id="setTranslation"><span class="type-signature"> </span>setTranslation<span class="signature">(a, v, <span class="optional">dst</span>)</span><span class="type-signature"> → {<a href="m4.html#Mat4">Mat4</a>}</span></h4>
|
|
|
|
|
|
</dt>
|
|
<dd>
|
|
|
|
|
|
<div class="description">
|
|
<p>Sets the translation component of a 4-by-4 matrix to the given
|
|
vector.</p>
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Parameters:</h5>
|
|
|
|
|
|
<table class="params table table-striped">
|
|
<thead>
|
|
<tr>
|
|
|
|
<th>Name</th>
|
|
|
|
|
|
<th>Type</th>
|
|
|
|
|
|
<th>Argument</th>
|
|
|
|
|
|
|
|
|
|
<th class="last">Description</th>
|
|
</tr>
|
|
</thead>
|
|
|
|
<tbody>
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>a</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The matrix.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>v</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">Vec3</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The vector.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>dst</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></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>
|
|
|
|
|
|
|
|
|
|
<dl class="details">
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Returns:</h5>
|
|
|
|
|
|
<div class="param-desc">
|
|
<p>a once modified.</p>
|
|
</div>
|
|
|
|
|
|
|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
</dd>
|
|
|
|
|
|
|
|
<dt>
|
|
<h4 class="name" id="transformDirection"><span class="type-signature"> </span>transformDirection<span class="signature">(m, v, dst)</span><span class="type-signature"> → {Vec3}</span></h4>
|
|
|
|
|
|
</dt>
|
|
<dd>
|
|
|
|
|
|
<div class="description">
|
|
<p>Takes a 4-by-4 matrix and a vector with 3 entries, interprets the vector as a
|
|
direction, transforms that direction by the matrix, and returns the result;
|
|
assumes the transformation of 3-dimensional space represented by the matrix
|
|
is parallel-preserving, i.e. any combination of rotation, scaling and
|
|
translation, but not a perspective distortion. Returns a vector with 3
|
|
entries.</p>
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Parameters:</h5>
|
|
|
|
|
|
<table class="params table table-striped">
|
|
<thead>
|
|
<tr>
|
|
|
|
<th>Name</th>
|
|
|
|
|
|
<th>Type</th>
|
|
|
|
|
|
|
|
|
|
|
|
<th class="last">Description</th>
|
|
</tr>
|
|
</thead>
|
|
|
|
<tbody>
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>m</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The matrix.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>v</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">Vec3</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The direction.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>dst</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">Vec3</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>optional Vec3 to store result</p></td>
|
|
</tr>
|
|
|
|
|
|
</tbody>
|
|
</table>
|
|
|
|
|
|
|
|
|
|
<dl class="details">
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Returns:</h5>
|
|
|
|
|
|
<div class="param-desc">
|
|
<p>dst or new Vec3 if not provided</p>
|
|
</div>
|
|
|
|
|
|
|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type">Vec3</span>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
</dd>
|
|
|
|
|
|
|
|
<dt>
|
|
<h4 class="name" id="transformNormal"><span class="type-signature"> </span>transformNormal<span class="signature">(m, v, <span class="optional">dst</span>)</span><span class="type-signature"> → {Vec3}</span></h4>
|
|
|
|
|
|
</dt>
|
|
<dd>
|
|
|
|
|
|
<div class="description">
|
|
<p>Takes a 4-by-4 matrix m and a vector v with 3 entries, interprets the vector
|
|
as a normal to a surface, and computes a vector which is normal upon
|
|
transforming that surface by the matrix. The effect of this function is the
|
|
same as transforming v (as a direction) by the inverse-transpose of m. This
|
|
function assumes the transformation of 3-dimensional space represented by the
|
|
matrix is parallel-preserving, i.e. any combination of rotation, scaling and
|
|
translation, but not a perspective distortion. Returns a vector with 3
|
|
entries.</p>
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Parameters:</h5>
|
|
|
|
|
|
<table class="params table table-striped">
|
|
<thead>
|
|
<tr>
|
|
|
|
<th>Name</th>
|
|
|
|
|
|
<th>Type</th>
|
|
|
|
|
|
<th>Argument</th>
|
|
|
|
|
|
|
|
|
|
<th class="last">Description</th>
|
|
</tr>
|
|
</thead>
|
|
|
|
<tbody>
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>m</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The matrix.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>v</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">Vec3</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The normal.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>dst</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">Vec3</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
<optional><br>
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The direction.</p></td>
|
|
</tr>
|
|
|
|
|
|
</tbody>
|
|
</table>
|
|
|
|
|
|
|
|
|
|
<dl class="details">
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Returns:</h5>
|
|
|
|
|
|
<div class="param-desc">
|
|
<p>The transformed direction.</p>
|
|
</div>
|
|
|
|
|
|
|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type">Vec3</span>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
</dd>
|
|
|
|
|
|
|
|
<dt>
|
|
<h4 class="name" id="transformPoint"><span class="type-signature"> </span>transformPoint<span class="signature">(m, v, dst)</span><span class="type-signature"> → {Vec3}</span></h4>
|
|
|
|
|
|
</dt>
|
|
<dd>
|
|
|
|
|
|
<div class="description">
|
|
<p>Takes a 4-by-4 matrix and a vector with 3 entries,
|
|
interprets the vector as a point, transforms that point by the matrix, and
|
|
returns the result as a vector with 3 entries.</p>
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Parameters:</h5>
|
|
|
|
|
|
<table class="params table table-striped">
|
|
<thead>
|
|
<tr>
|
|
|
|
<th>Name</th>
|
|
|
|
|
|
<th>Type</th>
|
|
|
|
|
|
|
|
|
|
|
|
<th class="last">Description</th>
|
|
</tr>
|
|
</thead>
|
|
|
|
<tbody>
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>m</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The matrix.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>v</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">Vec3</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The point.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>dst</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">Vec3</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>optional vec3 to store result</p></td>
|
|
</tr>
|
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</tbody>
|
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</table>
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<dl class="details">
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</dl>
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<h5>Returns:</h5>
|
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<div class="param-desc">
|
|
<p>dst or new vec3 if not provided</p>
|
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</div>
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<dl>
|
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<dt>
|
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Type
|
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</dt>
|
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<dd>
|
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<span class="param-type">Vec3</span>
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</dd>
|
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</dl>
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</dd>
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<dt>
|
|
<h4 class="name" id="translate"><span class="type-signature"> </span>translate<span class="signature">(m, v, <span class="optional">dst</span>)</span><span class="type-signature"> → {<a href="m4.html#Mat4">Mat4</a>}</span></h4>
|
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</dt>
|
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<dd>
|
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<div class="description">
|
|
<p>Modifies the given 4-by-4 matrix by translation by the given vector v.</p>
|
|
</div>
|
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<h5>Parameters:</h5>
|
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|
|
|
<table class="params table table-striped">
|
|
<thead>
|
|
<tr>
|
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|
|
<th>Name</th>
|
|
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<th>Type</th>
|
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|
|
<th>Argument</th>
|
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|
|
<th class="last">Description</th>
|
|
</tr>
|
|
</thead>
|
|
|
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<tbody>
|
|
|
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|
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<tr>
|
|
|
|
<td class="name"><code>m</code></td>
|
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|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
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|
|
|
<td class="description last"><p>The matrix.</p></td>
|
|
</tr>
|
|
|
|
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|
|
<tr>
|
|
|
|
<td class="name"><code>v</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">Vec3</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The vector by
|
|
which to translate.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>dst</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></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>
|
|
|
|
|
|
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|
|
|
<dl class="details">
|
|
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|
</dl>
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|
|
<h5>Returns:</h5>
|
|
|
|
|
|
<div class="param-desc">
|
|
<p>m once modified.</p>
|
|
</div>
|
|
|
|
|
|
|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
</dd>
|
|
|
|
|
|
|
|
<dt>
|
|
<h4 class="name" id="translation"><span class="type-signature"> </span>translation<span class="signature">(v, <span class="optional">dst</span>)</span><span class="type-signature"> → {<a href="m4.html#Mat4">Mat4</a>}</span></h4>
|
|
|
|
|
|
</dt>
|
|
<dd>
|
|
|
|
|
|
<div class="description">
|
|
<p>Creates a 4-by-4 matrix which translates by the given vector v.</p>
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Parameters:</h5>
|
|
|
|
|
|
<table class="params table table-striped">
|
|
<thead>
|
|
<tr>
|
|
|
|
<th>Name</th>
|
|
|
|
|
|
<th>Type</th>
|
|
|
|
|
|
<th>Argument</th>
|
|
|
|
|
|
|
|
|
|
<th class="last">Description</th>
|
|
</tr>
|
|
</thead>
|
|
|
|
<tbody>
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>v</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type">Vec3</span>
|
|
|
|
|
|
</td>
|
|
|
|
|
|
<td class="attributes">
|
|
|
|
|
|
|
|
|
|
|
|
</td>
|
|
|
|
|
|
|
|
|
|
<td class="description last"><p>The vector by
|
|
which to translate.</p></td>
|
|
</tr>
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>dst</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></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>
|
|
|
|
|
|
|
|
|
|
<dl class="details">
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Returns:</h5>
|
|
|
|
|
|
<div class="param-desc">
|
|
<p>The translation matrix.</p>
|
|
</div>
|
|
|
|
|
|
|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
</dd>
|
|
|
|
|
|
|
|
<dt>
|
|
<h4 class="name" id="transpose"><span class="type-signature"> </span>transpose<span class="signature">(m, <span class="optional">dst</span>)</span><span class="type-signature"> → {<a href="m4.html#Mat4">Mat4</a>}</span></h4>
|
|
|
|
|
|
</dt>
|
|
<dd>
|
|
|
|
|
|
<div class="description">
|
|
<p>Takes the transpose of a matrix.</p>
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<h5>Parameters:</h5>
|
|
|
|
|
|
<table class="params table table-striped">
|
|
<thead>
|
|
<tr>
|
|
|
|
<th>Name</th>
|
|
|
|
|
|
<th>Type</th>
|
|
|
|
|
|
<th>Argument</th>
|
|
|
|
|
|
|
|
|
|
<th class="last">Description</th>
|
|
</tr>
|
|
</thead>
|
|
|
|
<tbody>
|
|
|
|
|
|
<tr>
|
|
|
|
<td class="name"><code>m</code></td>
|
|
|
|
|
|
<td class="type">
|
|
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></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"><a href="m4.html#Mat4">Mat4</a></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>
|
|
|
|
|
|
|
|
|
|
<dl class="details">
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
</dl>
|
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|
|
|
|
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|
|
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|
|
|
|
|
|
<h5>Returns:</h5>
|
|
|
|
|
|
<div class="param-desc">
|
|
<p>The transpose of m.</p>
|
|
</div>
|
|
|
|
|
|
|
|
<dl>
|
|
<dt>
|
|
Type
|
|
</dt>
|
|
<dd>
|
|
|
|
<span class="param-type"><a href="m4.html#Mat4">Mat4</a></span>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
</dd>
|
|
|
|
</dl>
|
|
|
|
|
|
|
|
<h3 class="subsection-title">Type Definitions</h3>
|
|
|
|
<dl>
|
|
|
|
<dt class="name" id="Mat4">
|
|
<h4>Mat4</h4>
|
|
|
|
|
|
</dt>
|
|
<dd>
|
|
|
|
<div class="description">
|
|
<p>A JavaScript array with 16 values or a Float32Array with 16 values.
|
|
When created by the library will create the default type which is <code>Float32Array</code>
|
|
but can be set by calling <code>setDefaultType</code>.</p>
|
|
</div>
|
|
|
|
|
|
|
|
<h5>Type:</h5>
|
|
<ul>
|
|
<li>
|
|
|
|
<span class="param-type">Array.<number>|</span>
|
|
|
|
<span class="param-type">Float32Array</span>
|
|
|
|
</li>
|
|
</ul>
|
|
|
|
|
|
|
|
<dl class="details">
|
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</dl>
|
|
|
|
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|
|
</dd>
|
|
|
|
</dl>
|
|
|
|
|
|
|
|
</article>
|
|
|
|
</section>
|
|
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|
|
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