guojy
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dd_xcx


			
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    <title>JSDoc: Module: mat3</title>

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<div id="main">

    <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"> &rarr; {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#line624">line 624</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"> &rarr; {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#line239">line 239</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"> &rarr; {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#line55">line 55</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"> &rarr; {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#line76">line 76</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"> &rarr; {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"> &rarr; {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#line262">line 262</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"> &rarr; {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#line723">line 723</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"> &rarr; {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#line710">line 710</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"> &rarr; {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#line612">line 612</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"> &rarr; {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#line469">line 469</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"> &rarr; {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#line36">line 36</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"> &rarr; {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#line492">line 492</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"> &rarr; {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#line419">line 419</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"> &rarr; {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#line447">line 447</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"> &rarr; {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#line395">line 395</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"> &rarr; {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#line103">line 103</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"> &rarr; {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#line151">line 151</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"> &rarr; {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#line203">line 203</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#line741">line 741</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"> &rarr; {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#line278">line 278</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"> &rarr; {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#line668">line 668</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"> &rarr; {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#line690">line 690</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"> &rarr; {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#line531">line 531</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"> &rarr; {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#line581">line 581</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"> &rarr; {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#line337">line 337</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"> &rarr; {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 rotate</td>
        </tr>

    
        <tr>
            
                <td class="name"><code>v</code></td>
            

            <td class="type">
            
                
<span class="param-type">vec2</span>


            </td>

            
            <td class="description last">the vec2 to scale 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#line367">line 367</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=".set"><span class="type-signature">(static) </span>set<span class="signature">(out, m00, m01, m02, m10, m11, m12, m20, m21, m22)</span><span class="type-signature"> &rarr; {mat3}</span></h4>
    

<div class="description">
    Set the components of a mat3 to 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>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>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#line132">line 132</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=".str"><span class="type-signature">(static) </span>str<span class="signature">(a)</span><span class="type-signature"> &rarr; {String}</span></h4>
    

<div class="description">
    Returns a string representation 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">matrix to represent as a string</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#line600">line 600</a>
    </li></ul></dd>
    

</dl>


<h5>Returns:</h5>

        
<div class="param-desc">
    string representation of the matrix
</div>


<dl>
    <dt>
        Type
    </dt>
    <dd>
        
<span class="param-type">String</span>


    </dd>
</dl>

    
    <h4 class="name" id=".sub"><span class="type-signature">(static) </span>sub<span class="signature">()</span><span class="type-signature"></span></h4>
    

<div class="description">
    Alias for mat3.subtract
</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#line747">line 747</a>
    </li></ul></dd>
    

</dl>


    <h4 class="name" id=".subtract"><span class="type-signature">(static) </span>subtract<span class="signature">(out, a, b)</span><span class="type-signature"> &rarr; {mat3}</span></h4>
    

<div class="description">
    Subtracts matrix b from matrix a
</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#line645">line 645</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=".translate"><span class="type-signature">(static) </span>translate<span class="signature">(out, a, v)</span><span class="type-signature"> &rarr; {mat3}</span></h4>
    

<div class="description">
    Translate a mat3 by the given vector
</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 translate</td>
        </tr>

    
        <tr>
            
                <td class="name"><code>v</code></td>
            

            <td class="type">
            
                
<span class="param-type">vec2</span>


            </td>

            
            <td class="description last">vector to translate 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#line309">line 309</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=".transpose"><span class="type-signature">(static) </span>transpose<span class="signature">(out, a)</span><span class="type-signature"> &rarr; {mat3}</span></h4>
    

<div class="description">
    Transpose the values 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#line171">line 171</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>

    
</article>

</section>


</div>

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