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<title>JSDoc: Module: mat3</title>
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<h1 class="page-title">Module: mat3</h1>
<section>
<header>
</header>
<article>
<div class="container-overview">
<div class="description">3x3 Matrix</div>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line3">line 3</a>
</li></ul></dd>
</dl>
</div>
<h3 class="subsection-title">Methods</h3>
<h4 class="name" id=".add"><span class="type-signature">(static) </span>add<span class="signature">(out, a, b)</span><span class="type-signature"> → {mat3}</span></h4>
<div class="description">
Adds two mat3's
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>out</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the receiving matrix</td>
</tr>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the first operand</td>
</tr>
<tr>
<td class="name"><code>b</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the second operand</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line622">line 622</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">mat3</span>
</dd>
</dl>
<h4 class="name" id=".adjoint"><span class="type-signature">(static) </span>adjoint<span class="signature">(out, a)</span><span class="type-signature"> → {mat3}</span></h4>
<div class="description">
Calculates the adjugate of a mat3
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>out</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the receiving matrix</td>
</tr>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the source matrix</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line237">line 237</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">mat3</span>
</dd>
</dl>
<h4 class="name" id=".clone"><span class="type-signature">(static) </span>clone<span class="signature">(a)</span><span class="type-signature"> → {mat3}</span></h4>
<div class="description">
Creates a new mat3 initialized with values from an existing matrix
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">matrix to clone</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line53">line 53</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
a new 3x3 matrix
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">mat3</span>
</dd>
</dl>
<h4 class="name" id=".copy"><span class="type-signature">(static) </span>copy<span class="signature">(out, a)</span><span class="type-signature"> → {mat3}</span></h4>
<div class="description">
Copy the values from one mat3 to another
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>out</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the receiving matrix</td>
</tr>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the source matrix</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line74">line 74</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">mat3</span>
</dd>
</dl>
<h4 class="name" id=".create"><span class="type-signature">(static) </span>create<span class="signature">()</span><span class="type-signature"> → {mat3}</span></h4>
<div class="description">
Creates a new identity mat3
</div>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line13">line 13</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
a new 3x3 matrix
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">mat3</span>
</dd>
</dl>
<h4 class="name" id=".determinant"><span class="type-signature">(static) </span>determinant<span class="signature">(a)</span><span class="type-signature"> → {Number}</span></h4>
<div class="description">
Calculates the determinant of a mat3
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the source matrix</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line260">line 260</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
determinant of a
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">Number</span>
</dd>
</dl>
<h4 class="name" id=".equals"><span class="type-signature">(static) </span>equals<span class="signature">(a, b)</span><span class="type-signature"> → {Boolean}</span></h4>
<div class="description">
Returns whether or not the matrices have approximately the same elements in the same position.
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">The first matrix.</td>
</tr>
<tr>
<td class="name"><code>b</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">The second matrix.</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line721">line 721</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
True if the matrices are equal, false otherwise.
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">Boolean</span>
</dd>
</dl>
<h4 class="name" id=".exactEquals"><span class="type-signature">(static) </span>exactEquals<span class="signature">(a, b)</span><span class="type-signature"> → {Boolean}</span></h4>
<div class="description">
Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===)
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">The first matrix.</td>
</tr>
<tr>
<td class="name"><code>b</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">The second matrix.</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line708">line 708</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
True if the matrices are equal, false otherwise.
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">Boolean</span>
</dd>
</dl>
<h4 class="name" id=".frob"><span class="type-signature">(static) </span>frob<span class="signature">(a)</span><span class="type-signature"> → {Number}</span></h4>
<div class="description">
Returns Frobenius norm of a mat3
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the matrix to calculate Frobenius norm of</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line610">line 610</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
Frobenius norm
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">Number</span>
</dd>
</dl>
<h4 class="name" id=".fromMat2d"><span class="type-signature">(static) </span>fromMat2d<span class="signature">(out, a)</span><span class="type-signature"> → {mat3}</span></h4>
<div class="description">
Copies the values from a mat2d into a mat3
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>out</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the receiving matrix</td>
</tr>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">mat2d</span>
</td>
<td class="description last">the matrix to copy</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line467">line 467</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">mat3</span>
</dd>
</dl>
<h4 class="name" id=".fromMat4"><span class="type-signature">(static) </span>fromMat4<span class="signature">(out, a)</span><span class="type-signature"> → {mat3}</span></h4>
<div class="description">
Copies the upper-left 3x3 values into the given mat3.
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>out</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the receiving 3x3 matrix</td>
</tr>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">mat4</span>
</td>
<td class="description last">the source 4x4 matrix</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line34">line 34</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">mat3</span>
</dd>
</dl>
<h4 class="name" id=".fromQuat"><span class="type-signature">(static) </span>fromQuat<span class="signature">(out, q)</span><span class="type-signature"> → {mat3}</span></h4>
<div class="description">
Calculates a 3x3 matrix from the given quaternion
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>out</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">mat3 receiving operation result</td>
</tr>
<tr>
<td class="name"><code>q</code></td>
<td class="type">
<span class="param-type">quat</span>
</td>
<td class="description last">Quaternion to create matrix from</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line490">line 490</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">mat3</span>
</dd>
</dl>
<h4 class="name" id=".fromRotation"><span class="type-signature">(static) </span>fromRotation<span class="signature">(out, rad)</span><span class="type-signature"> → {mat3}</span></h4>
<div class="description">
Creates a matrix from a given angle
This is equivalent to (but much faster than):
mat3.identity(dest);
mat3.rotate(dest, dest, rad);
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>out</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">mat3 receiving operation result</td>
</tr>
<tr>
<td class="name"><code>rad</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">the angle to rotate the matrix by</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line417">line 417</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">mat3</span>
</dd>
</dl>
<h4 class="name" id=".fromScaling"><span class="type-signature">(static) </span>fromScaling<span class="signature">(out, v)</span><span class="type-signature"> → {mat3}</span></h4>
<div class="description">
Creates a matrix from a vector scaling
This is equivalent to (but much faster than):
mat3.identity(dest);
mat3.scale(dest, dest, vec);
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>out</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">mat3 receiving operation result</td>
</tr>
<tr>
<td class="name"><code>v</code></td>
<td class="type">
<span class="param-type">vec2</span>
</td>
<td class="description last">Scaling vector</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line445">line 445</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">mat3</span>
</dd>
</dl>
<h4 class="name" id=".fromTranslation"><span class="type-signature">(static) </span>fromTranslation<span class="signature">(out, v)</span><span class="type-signature"> → {mat3}</span></h4>
<div class="description">
Creates a matrix from a vector translation
This is equivalent to (but much faster than):
mat3.identity(dest);
mat3.translate(dest, dest, vec);
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>out</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">mat3 receiving operation result</td>
</tr>
<tr>
<td class="name"><code>v</code></td>
<td class="type">
<span class="param-type">vec2</span>
</td>
<td class="description last">Translation vector</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line393">line 393</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">mat3</span>
</dd>
</dl>
<h4 class="name" id=".fromValues"><span class="type-signature">(static) </span>fromValues<span class="signature">(m00, m01, m02, m10, m11, m12, m20, m21, m22)</span><span class="type-signature"> → {mat3}</span></h4>
<div class="description">
Create a new mat3 with the given values
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>m00</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">Component in column 0, row 0 position (index 0)</td>
</tr>
<tr>
<td class="name"><code>m01</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">Component in column 0, row 1 position (index 1)</td>
</tr>
<tr>
<td class="name"><code>m02</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">Component in column 0, row 2 position (index 2)</td>
</tr>
<tr>
<td class="name"><code>m10</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">Component in column 1, row 0 position (index 3)</td>
</tr>
<tr>
<td class="name"><code>m11</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">Component in column 1, row 1 position (index 4)</td>
</tr>
<tr>
<td class="name"><code>m12</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">Component in column 1, row 2 position (index 5)</td>
</tr>
<tr>
<td class="name"><code>m20</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">Component in column 2, row 0 position (index 6)</td>
</tr>
<tr>
<td class="name"><code>m21</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">Component in column 2, row 1 position (index 7)</td>
</tr>
<tr>
<td class="name"><code>m22</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">Component in column 2, row 2 position (index 8)</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line101">line 101</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
A new mat3
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">mat3</span>
</dd>
</dl>
<h4 class="name" id=".identity"><span class="type-signature">(static) </span>identity<span class="signature">(out)</span><span class="type-signature"> → {mat3}</span></h4>
<div class="description">
Set a mat3 to the identity matrix
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>out</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the receiving matrix</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line149">line 149</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">mat3</span>
</dd>
</dl>
<h4 class="name" id=".invert"><span class="type-signature">(static) </span>invert<span class="signature">(out, a)</span><span class="type-signature"> → {mat3}</span></h4>
<div class="description">
Inverts a mat3
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>out</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the receiving matrix</td>
</tr>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the source matrix</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line201">line 201</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">mat3</span>
</dd>
</dl>
<h4 class="name" id=".mul"><span class="type-signature">(static) </span>mul<span class="signature">()</span><span class="type-signature"></span></h4>
<div class="description">
Alias for mat3.multiply
</div>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line739">line 739</a>
</li></ul></dd>
</dl>
<h4 class="name" id=".multiply"><span class="type-signature">(static) </span>multiply<span class="signature">(out, a, b)</span><span class="type-signature"> → {mat3}</span></h4>
<div class="description">
Multiplies two mat3's
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>out</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the receiving matrix</td>
</tr>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the first operand</td>
</tr>
<tr>
<td class="name"><code>b</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the second operand</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line276">line 276</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">mat3</span>
</dd>
</dl>
<h4 class="name" id=".multiplyScalar"><span class="type-signature">(static) </span>multiplyScalar<span class="signature">(out, a, b)</span><span class="type-signature"> → {mat3}</span></h4>
<div class="description">
Multiply each element of the matrix by a scalar.
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>out</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the receiving matrix</td>
</tr>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the matrix to scale</td>
</tr>
<tr>
<td class="name"><code>b</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">amount to scale the matrix's elements by</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line666">line 666</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">mat3</span>
</dd>
</dl>
<h4 class="name" id=".multiplyScalarAndAdd"><span class="type-signature">(static) </span>multiplyScalarAndAdd<span class="signature">(out, a, b, scale)</span><span class="type-signature"> → {mat3}</span></h4>
<div class="description">
Adds two mat3's after multiplying each element of the second operand by a scalar value.
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>out</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the receiving vector</td>
</tr>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the first operand</td>
</tr>
<tr>
<td class="name"><code>b</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the second operand</td>
</tr>
<tr>
<td class="name"><code>scale</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">the amount to scale b's elements by before adding</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line688">line 688</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">mat3</span>
</dd>
</dl>
<h4 class="name" id=".normalFromMat4"><span class="type-signature">(static) </span>normalFromMat4<span class="signature">(out, a)</span><span class="type-signature"> → {mat3}</span></h4>
<div class="description">
Calculates a 3x3 normal matrix (transpose inverse) from the 4x4 matrix
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>out</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">mat3 receiving operation result</td>
</tr>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">mat4</span>
</td>
<td class="description last">Mat4 to derive the normal matrix from</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line529">line 529</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">mat3</span>
</dd>
</dl>
<h4 class="name" id=".projection"><span class="type-signature">(static) </span>projection<span class="signature">(out, width, height)</span><span class="type-signature"> → {mat3}</span></h4>
<div class="description">
Generates a 2D projection matrix with the given bounds
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>out</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">mat3 frustum matrix will be written into</td>
</tr>
<tr>
<td class="name"><code>width</code></td>
<td class="type">
<span class="param-type">number</span>
</td>
<td class="description last">Width of your gl context</td>
</tr>
<tr>
<td class="name"><code>height</code></td>
<td class="type">
<span class="param-type">number</span>
</td>
<td class="description last">Height of gl context</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line579">line 579</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">mat3</span>
</dd>
</dl>
<h4 class="name" id=".rotate"><span class="type-signature">(static) </span>rotate<span class="signature">(out, a, rad)</span><span class="type-signature"> → {mat3}</span></h4>
<div class="description">
Rotates a mat3 by the given angle
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>out</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the receiving matrix</td>
</tr>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the matrix to rotate</td>
</tr>
<tr>
<td class="name"><code>rad</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">the angle to rotate the matrix by</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="mat3.js.html">mat3.js</a>, <a href="mat3.js.html#line335">line 335</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">mat3</span>
</dd>
</dl>
<h4 class="name" id=".scale"><span class="type-signature">(static) </span>scale<span class="signature">(out, a, v)</span><span class="type-signature"> → {mat3}</span></h4>
<div class="description">
Scales the mat3 by the dimensions in the given vec2
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>out</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the receiving matrix</td>
</tr>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">mat3</span>
</td>
<td class="description last">the matrix to