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<p>Represents a quaternion in a 4D vector.  
 <a href="structai_quaternion.html#details">More...</a></p>

<p><a href="structai_quaternion-members.html">List of all members.</a></p>
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<tr class="heading"><td colspan="2"><h2><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:a76019fd0ac7527e0a228c0aa56e39ec2"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structai_quaternion.html#a76019fd0ac7527e0a228c0aa56e39ec2">aiQuaternion</a> ()</td></tr>
<tr class="memitem:a51d406242fa7c7917c4ca7091cc31e1b"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structai_quaternion.html#a51d406242fa7c7917c4ca7091cc31e1b">aiQuaternion</a> (float _w, float _x, float _y, float _z)</td></tr>
<tr class="memitem:ac964dea31f2aadf266132ce333bed496"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structai_quaternion.html#ac964dea31f2aadf266132ce333bed496">aiQuaternion</a> (const <a class="el" href="structai_matrix3x3.html">aiMatrix3x3</a> &amp;pRotMatrix)</td></tr>
<tr class="memdesc:ac964dea31f2aadf266132ce333bed496"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct from rotation matrix.  <a href="#ac964dea31f2aadf266132ce333bed496"></a><br/></td></tr>
<tr class="memitem:a4bac8acd700fe58dcc2fa715b4408473"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structai_quaternion.html#a4bac8acd700fe58dcc2fa715b4408473">aiQuaternion</a> (float rotx, float roty, float rotz)</td></tr>
<tr class="memdesc:a4bac8acd700fe58dcc2fa715b4408473"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct from euler angles.  <a href="#a4bac8acd700fe58dcc2fa715b4408473"></a><br/></td></tr>
<tr class="memitem:a3fcc68eda8fe25e966df6b3a650ca9b5"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structai_quaternion.html#a3fcc68eda8fe25e966df6b3a650ca9b5">aiQuaternion</a> (<a class="el" href="structai_vector3_d.html">aiVector3D</a> axis, float angle)</td></tr>
<tr class="memdesc:a3fcc68eda8fe25e966df6b3a650ca9b5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct from an axis-angle pair.  <a href="#a3fcc68eda8fe25e966df6b3a650ca9b5"></a><br/></td></tr>
<tr class="memitem:af72a2bcc8c9432ee6632c2b7857144bf"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structai_quaternion.html#af72a2bcc8c9432ee6632c2b7857144bf">aiQuaternion</a> (<a class="el" href="structai_vector3_d.html">aiVector3D</a> normalized)</td></tr>
<tr class="memdesc:af72a2bcc8c9432ee6632c2b7857144bf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct from a normalized quaternion stored in a vec3.  <a href="#af72a2bcc8c9432ee6632c2b7857144bf"></a><br/></td></tr>
<tr class="memitem:ae9d170e1d303a7d9093f160e98a833a6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structai_quaternion.html">aiQuaternion</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structai_quaternion.html#ae9d170e1d303a7d9093f160e98a833a6">Conjugate</a> ()</td></tr>
<tr class="memdesc:ae9d170e1d303a7d9093f160e98a833a6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute quaternion conjugate.  <a href="#ae9d170e1d303a7d9093f160e98a833a6"></a><br/></td></tr>
<tr class="memitem:a2010496e9849643f2d33750562a5023a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structai_matrix3x3.html">aiMatrix3x3</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structai_quaternion.html#a2010496e9849643f2d33750562a5023a">GetMatrix</a> () const </td></tr>
<tr class="memdesc:a2010496e9849643f2d33750562a5023a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns a matrix representation of the quaternion.  <a href="#a2010496e9849643f2d33750562a5023a"></a><br/></td></tr>
<tr class="memitem:ab0641b13a6c09a066f2708f3d826e3d7"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structai_quaternion.html">aiQuaternion</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structai_quaternion.html#ab0641b13a6c09a066f2708f3d826e3d7">Normalize</a> ()</td></tr>
<tr class="memdesc:ab0641b13a6c09a066f2708f3d826e3d7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Normalize the quaternion.  <a href="#ab0641b13a6c09a066f2708f3d826e3d7"></a><br/></td></tr>
<tr class="memitem:a5f10d0c4940a1989ac8e4cbd019e9eaa"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structai_quaternion.html#a5f10d0c4940a1989ac8e4cbd019e9eaa">operator!=</a> (const <a class="el" href="structai_quaternion.html">aiQuaternion</a> &amp;o) const </td></tr>
<tr class="memitem:ae3ec87d3891293d9c0eceb0bf636088c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structai_quaternion.html">aiQuaternion</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structai_quaternion.html#ae3ec87d3891293d9c0eceb0bf636088c">operator*</a> (const <a class="el" href="structai_quaternion.html">aiQuaternion</a> &amp;two) const </td></tr>
<tr class="memdesc:ae3ec87d3891293d9c0eceb0bf636088c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiply two quaternions.  <a href="#ae3ec87d3891293d9c0eceb0bf636088c"></a><br/></td></tr>
<tr class="memitem:aa522b5c8b9532e095bed7081e599ac54"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structai_quaternion.html#aa522b5c8b9532e095bed7081e599ac54">operator==</a> (const <a class="el" href="structai_quaternion.html">aiQuaternion</a> &amp;o) const </td></tr>
<tr class="memitem:a38ac6e9ff57df8a8a5a1acf087010580"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structai_vector3_d.html">aiVector3D</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structai_quaternion.html#a38ac6e9ff57df8a8a5a1acf087010580">Rotate</a> (const <a class="el" href="structai_vector3_d.html">aiVector3D</a> &amp;in)</td></tr>
<tr class="memdesc:a38ac6e9ff57df8a8a5a1acf087010580"><td class="mdescLeft">&#160;</td><td class="mdescRight">Rotate a point by this quaternion.  <a href="#a38ac6e9ff57df8a8a5a1acf087010580"></a><br/></td></tr>
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<tr class="heading"><td colspan="2"><h2><a name="pub-static-methods"></a>
Static Public Member Functions</h2></td></tr>
<tr class="memitem:aa77f453c99fb34253326138771486de5"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structai_quaternion.html#aa77f453c99fb34253326138771486de5">Interpolate</a> (<a class="el" href="structai_quaternion.html">aiQuaternion</a> &amp;pOut, const <a class="el" href="structai_quaternion.html">aiQuaternion</a> &amp;pStart, const <a class="el" href="structai_quaternion.html">aiQuaternion</a> &amp;pEnd, float pFactor)</td></tr>
<tr class="memdesc:aa77f453c99fb34253326138771486de5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Performs a spherical interpolation between two quaternions and writes the result into the third.  <a href="#aa77f453c99fb34253326138771486de5"></a><br/></td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2><a name="pub-attribs"></a>
Public Attributes</h2></td></tr>
<tr class="memitem:a410b3c46417d67d728a01a5810907a36"><td class="memItemLeft" align="right" valign="top">float&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structai_quaternion.html#a410b3c46417d67d728a01a5810907a36">w</a></td></tr>
<tr class="memdesc:a410b3c46417d67d728a01a5810907a36"><td class="mdescLeft">&#160;</td><td class="mdescRight">w,x,y,z components of the quaternion  <a href="#a410b3c46417d67d728a01a5810907a36"></a><br/></td></tr>
<tr class="memitem:af9db21b086c14d8654d62005f740e75f"><td class="memItemLeft" align="right" valign="top">float&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structai_quaternion.html#af9db21b086c14d8654d62005f740e75f">x</a></td></tr>
<tr class="memitem:a1695fefbc60becf95fcafcc08573ab44"><td class="memItemLeft" align="right" valign="top">float&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structai_quaternion.html#a1695fefbc60becf95fcafcc08573ab44">y</a></td></tr>
<tr class="memitem:acc30da6103d5131fb1bed6640f1eeda0"><td class="memItemLeft" align="right" valign="top">float&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structai_quaternion.html#acc30da6103d5131fb1bed6640f1eeda0">z</a></td></tr>
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<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><p>Represents a quaternion in a 4D vector. </p>
</div><hr/><h2>Constructor &amp; Destructor Documentation</h2>
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          <td class="paramtype">float&#160;</td>
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          <td class="paramtype">const <a class="el" href="structai_matrix3x3.html">aiMatrix3x3</a> &amp;&#160;</td>
          <td class="paramname"><em>pRotMatrix</em></td><td>)</td>
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<p>Construct from rotation matrix. </p>
<p>Result is undefined if the matrix is not orthonormal. </p>

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          <td class="paramtype">float&#160;</td>
          <td class="paramname"><em>rotx</em>, </td>
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          <td class="paramname"><em>roty</em>, </td>
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<p>Construct from euler angles. </p>

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          <td>(</td>
          <td class="paramtype"><a class="el" href="structai_vector3_d.html">aiVector3D</a>&#160;</td>
          <td class="paramname"><em>axis</em>, </td>
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          <td class="paramtype">float&#160;</td>
          <td class="paramname"><em>angle</em>&#160;</td>
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<p>Construct from an axis-angle pair. </p>

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          <td>(</td>
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          <td class="paramname"><em>normalized</em></td><td>)</td>
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<p>Construct from a normalized quaternion stored in a vec3. </p>

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<hr/><h2>Member Function Documentation</h2>
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<p>Compute quaternion conjugate. </p>

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          <td class="memname"><a class="el" href="structai_matrix3x3.html">aiMatrix3x3</a> aiQuaternion::GetMatrix </td>
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<p>Returns a matrix representation of the quaternion. </p>

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          <td class="memname">void aiQuaternion::Interpolate </td>
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          <td class="paramname"><em>pOut</em>, </td>
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<p>Performs a spherical interpolation between two quaternions and writes the result into the third. </p>
<dl class="params"><dt>Parameters:</dt><dd>
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    <tr><td class="paramname">pOut</td><td>Target object to received the interpolated rotation. </td></tr>
    <tr><td class="paramname">pStart</td><td>Start rotation of the interpolation at factor == 0. </td></tr>
    <tr><td class="paramname">pEnd</td><td>End rotation, factor == 1. </td></tr>
    <tr><td class="paramname">pFactor</td><td>Interpolation factor between 0 and 1. Values outside of this range yield undefined results. </td></tr>
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<p>Normalize the quaternion. </p>

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          <td class="paramname"><em>o</em></td><td>)</td>
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<p>Multiply two quaternions. </p>

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          <td class="memname"><a class="el" href="structai_vector3_d.html">aiVector3D</a> aiQuaternion::Rotate </td>
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<p>Rotate a point by this quaternion. </p>

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<hr/><h2>Member Data Documentation</h2>
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<p>w,x,y,z components of the quaternion </p>

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<hr/>The documentation for this struct was generated from the following file:<ul>
<li><a class="el" href="ai_quaternion_8h.html">aiQuaternion.h</a></li>
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