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<h1 class="page-title">Module: quat2</h1>
<section>
<header>
</header>
<article>
<div class="container-overview">
<div class="description">Dual Quaternion<br>
Format: [real, dual]<br>
Quaternion format: XYZW<br>
Make sure to have normalized dual quaternions, otherwise the functions may not work as intended.<br></div>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line5">line 5</a>
</li></ul></dd>
</dl>
</div>
<h3 class="subsection-title">Members</h3>
<h4 class="name" id=".getReal"><span class="type-signature">(static, constant) </span>getReal<span class="type-signature"></span></h4>
<div class="description">
Gets the real part of a dual quat
</div>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line266">line 266</a>
</li></ul></dd>
</dl>
<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"> → {quat2}</span></h4>
<div class="description">
Adds two dual quat'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">quat2</span>
</td>
<td class="description last">the receiving dual quaternion</td>
</tr>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">quat2</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">quat2</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="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line578">line 578</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">quat2</span>
</dd>
</dl>
<h4 class="name" id=".clone"><span class="type-signature">(static) </span>clone<span class="signature">(a)</span><span class="type-signature"> → {quat2}</span></h4>
<div class="description">
Creates a new quat initialized with values from an existing 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>a</code></td>
<td class="type">
<span class="param-type">quat2</span>
</td>
<td class="description last">dual quaternion 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="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line39">line 39</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
new dual quaternion
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">quat2</span>
</dd>
</dl>
<h4 class="name" id=".conjugate"><span class="type-signature">(static) </span>conjugate<span class="signature">(out, a)</span><span class="type-signature"> → {quat2}</span></h4>
<div class="description">
Calculates the conjugate of a dual quat
If the dual quaternion is normalized, this function is faster than quat2.inverse and produces the same result.
</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">quat2</span>
</td>
<td class="description last">the receiving quaternion</td>
</tr>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">quat2</span>
</td>
<td class="description last">quat to calculate conjugate of</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line717">line 717</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">quat2</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"> → {quat2}</span></h4>
<div class="description">
Copy the values from one dual quat 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">quat2</span>
</td>
<td class="description last">the receiving dual quaternion</td>
</tr>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">quat2</span>
</td>
<td class="description last">the source dual quaternion</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line202">line 202</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">quat2</span>
</dd>
</dl>
<h4 class="name" id=".create"><span class="type-signature">(static) </span>create<span class="signature">()</span><span class="type-signature"> → {quat2}</span></h4>
<div class="description">
Creates a new identity dual quat
</div>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line19">line 19</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
a new dual quaternion [real -> rotation, dual -> translation]
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">quat2</span>
</dd>
</dl>
<h4 class="name" id=".dot"><span class="type-signature">(static) </span>dot<span class="signature">(a, b)</span><span class="type-signature"> → {Number}</span></h4>
<div class="description">
Calculates the dot product of two dual quat's (The dot product of the real parts)
</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">quat2</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">quat2</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="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line661">line 661</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
dot product of a and b
</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 dual quaternions 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">quat2</span>
</td>
<td class="description last">the first dual quat.</td>
</tr>
<tr>
<td class="name"><code>b</code></td>
<td class="type">
<span class="param-type">quat2</span>
</td>
<td class="description last">the second dual quat.</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line813">line 813</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
true if the dual quats 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 dual quaternions 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">quat2</span>
</td>
<td class="description last">the first dual quaternion.</td>
</tr>
<tr>
<td class="name"><code>b</code></td>
<td class="type">
<span class="param-type">quat2</span>
</td>
<td class="description last">the second dual quaternion.</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line801">line 801</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
true if the dual quaternions are equal, false otherwise.
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">Boolean</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"> → {quat2}</span></h4>
<div class="description">
Creates a new dual quat from a matrix (4x4)
</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">quat2</span>
</td>
<td class="description last">the dual quaternion</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 matrix</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line184">line 184</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
dual quat receiving operation result
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">quat2</span>
</dd>
</dl>
<h4 class="name" id=".fromRotation"><span class="type-signature">(static) </span>fromRotation<span class="signature">(dual, q)</span><span class="type-signature"> → {quat2}</span></h4>
<div class="description">
Creates a dual quat from a 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>dual</code></td>
<td class="type">
<span class="param-type">quat2</span>
</td>
<td class="description last">quaternion 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">the quaternion</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line164">line 164</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
dual quaternion receiving operation result
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">quat2</span>
</dd>
</dl>
<h4 class="name" id=".fromRotationTranslation"><span class="type-signature">(static) </span>fromRotationTranslation<span class="signature">(dual, q, t)</span><span class="type-signature"> → {quat2}</span></h4>
<div class="description">
Creates a dual quat from a quaternion and a translation
</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>dual</code></td>
<td class="type">
<span class="param-type">quat2</span>
</td>
<td class="description last">quaternion 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</td>
</tr>
<tr>
<td class="name"><code>t</code></td>
<td class="type">
<span class="param-type">vec3</span>
</td>
<td class="description last">tranlation vector</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line117">line 117</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
dual quaternion receiving operation result
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">quat2</span>
</dd>
</dl>
<h4 class="name" id=".fromRotationTranslationValues"><span class="type-signature">(static) </span>fromRotationTranslationValues<span class="signature">(x1, y1, z1, w1, x2, y2, z2)</span><span class="type-signature"> → {quat2}</span></h4>
<div class="description">
Creates a new dual quat from the given values (quat and translation)
</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>x1</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">X component</td>
</tr>
<tr>
<td class="name"><code>y1</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">Y component</td>
</tr>
<tr>
<td class="name"><code>z1</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">Z component</td>
</tr>
<tr>
<td class="name"><code>w1</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">W component</td>
</tr>
<tr>
<td class="name"><code>x2</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">X component (translation)</td>
</tr>
<tr>
<td class="name"><code>y2</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">Y component (translation)</td>
</tr>
<tr>
<td class="name"><code>z2</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">Z component (translation)</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line92">line 92</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
new dual quaternion
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">quat2</span>
</dd>
</dl>
<h4 class="name" id=".fromTranslation"><span class="type-signature">(static) </span>fromTranslation<span class="signature">(dual, t)</span><span class="type-signature"> → {quat2}</span></h4>
<div class="description">
Creates a dual quat from a translation
</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>dual</code></td>
<td class="type">
<span class="param-type">quat2</span>
</td>
<td class="description last">quaternion receiving operation result</td>
</tr>
<tr>
<td class="name"><code>t</code></td>
<td class="type">
<span class="param-type">vec3</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="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line144">line 144</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
dual quaternion receiving operation result
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">quat2</span>
</dd>
</dl>
<h4 class="name" id=".fromValues"><span class="type-signature">(static) </span>fromValues<span class="signature">(x1, y1, z1, w1, x2, y2, z2, w2)</span><span class="type-signature"> → {quat2}</span></h4>
<div class="description">
Creates a new dual quat initialized 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>x1</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">X component</td>
</tr>
<tr>
<td class="name"><code>y1</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">Y component</td>
</tr>
<tr>
<td class="name"><code>z1</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">Z component</td>
</tr>
<tr>
<td class="name"><code>w1</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">W component</td>
</tr>
<tr>
<td class="name"><code>x2</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">X component</td>
</tr>
<tr>
<td class="name"><code>y2</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">Y component</td>
</tr>
<tr>
<td class="name"><code>z2</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">Z component</td>
</tr>
<tr>
<td class="name"><code>w2</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">W component</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line66">line 66</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
new dual quaternion
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">quat2</span>
</dd>
</dl>
<h4 class="name" id=".getDual"><span class="type-signature">(static) </span>getDual<span class="signature">(out, a)</span><span class="type-signature"> → {quat}</span></h4>
<div class="description">
Gets the dual part of a dual quat
</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">quat</span>
</td>
<td class="description last">dual part</td>
</tr>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">quat2</span>
</td>
<td class="description last">Dual Quaternion</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line274">line 274</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
dual part
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">quat</span>
</dd>
</dl>
<h4 class="name" id=".getTranslation"><span class="type-signature">(static) </span>getTranslation<span class="signature">(out, a)</span><span class="type-signature"> → {vec3}</span></h4>
<div class="description">
Gets the translation of a normalized dual quat
</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">vec3</span>
</td>
<td class="description last">translation</td>
</tr>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">quat2</span>
</td>
<td class="description last">Dual Quaternion to be decomposed</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line314">line 314</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
translation
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">vec3</span>
</dd>
</dl>
<h4 class="name" id=".identity"><span class="type-signature">(static) </span>identity<span class="signature">(out)</span><span class="type-signature"> → {quat2}</span></h4>
<div class="description">
Set a dual quat to the identity dual 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">quat2</span>
</td>
<td class="description last">the receiving quaternion</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line220">line 220</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">quat2</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"> → {quat2}</span></h4>
<div class="description">
Calculates the inverse of a dual quat. If they are normalized, conjugate is cheaper
</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">quat2</span>
</td>
<td class="description last">the receiving dual quaternion</td>
</tr>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">quat2</span>
</td>
<td class="description last">dual quat to calculate inverse of</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line696">line 696</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">quat2</span>
</dd>
</dl>
<h4 class="name" id=".len"><span class="type-signature">(static) </span>len<span class="signature">()</span><span class="type-signature"></span></h4>
<div class="description">
Alias for quat2.length
</div>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line742">line 742</a>
</li></ul></dd>
</dl>
<h4 class="name" id=".length"><span class="type-signature">(static) </span>length<span class="signature">(a)</span><span class="type-signature"> → {Number}</span></h4>
<div class="description">
Calculates the length of a dual quat
</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">quat2</span>
</td>
<td class="description last">dual quat to calculate length of</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line736">line 736</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
length of a
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">Number</span>
</dd>
</dl>
<h4 class="name" id=".lerp"><span class="type-signature">(static) </span>lerp<span class="signature">(out, a, b, t)</span><span class="type-signature"> → {quat2}</span></h4>
<div class="description">
Performs a linear interpolation between two dual quats's
NOTE: The resulting dual quaternions won't always be normalized (The error is most noticeable when t = 0.5)
</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">quat2</span>
</td>
<td class="description last">the receiving dual quat</td>
</tr>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">quat2</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">quat2</span>
</td>
<td class="description last">the second operand</td>
</tr>
<tr>
<td class="name"><code>t</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">interpolation amount, in the range [0-1], between the two inputs</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line673">line 673</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">quat2</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 quat2.multiply
</div>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line630">line 630</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"> → {quat2}</span></h4>
<div class="description">
Multiplies two dual quat'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">quat2</span>
</td>
<td class="description last">the receiving dual quaternion</td>
</tr>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">quat2</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">quat2</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="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line598">line 598</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">quat2</span>
</dd>
</dl>
<h4 class="name" id=".normalize"><span class="type-signature">(static) </span>normalize<span class="signature">(out, a)</span><span class="type-signature"> → {quat2}</span></h4>
<div class="description">
Normalize a dual quat
</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">quat2</span>
</td>
<td class="description last">the receiving dual quaternion</td>
</tr>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">quat2</span>
</td>
<td class="description last">dual quaternion to normalize</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line767">line 767</a>
</li></ul></dd>
</dl>
<h5>Returns:</h5>
<div class="param-desc">
out
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">quat2</span>
</dd>
</dl>
<h4 class="name" id=".rotateAroundAxis"><span class="type-signature">(static) </span>rotateAroundAxis<span class="signature">(out, a, axis, rad)</span><span class="type-signature"> → {quat2}</span></h4>
<div class="description">
Rotates a dual quat around a given axis. Does the normalisation automatically
</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">quat2</span>
</td>
<td class="description last">the receiving dual quaternion</td>
</tr>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type">quat2</span>
</td>
<td class="description last">the dual quaternion to rotate</td>
</tr>
<tr>
<td class="name"><code>axis</code></td>
<td class="type">
<span class="param-type">vec3</span>
</td>
<td class="description last">the axis to rotate around</td>
</tr>
<tr>
<td class="name"><code>rad</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last">how far the rotation should be</td>
</tr>
</tbody>
</table>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="quat2.js.html">quat2.js</a>, <a href="quat2.js.html#line534"