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<a href="#func-members">Functions</a> </div>
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<div class="title">GLM_GTC_quaternion<div class="ingroups"><a class="el" href="a00158.html">GTC Extensions (Stable)</a></div></div> </div>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
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<tr class="memitem:gad4a4448baedb198b2b1e7880d2544dc9"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
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<tr class="memitem:ga4fd705376c6c1fd667be0055a0ea58ec"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga4fd705376c6c1fd667be0055a0ea58ec">roll</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
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<tr class="memitem:ga666d76650f3fa949e7aead0455d531c6"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga666d76650f3fa949e7aead0455d531c6">slerp</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y, T const &amp;a)</td></tr>
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<tr class="memitem:ga724a5df282b70cec0a6cb0d6dcddb6d6"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
<tr class="memitem:ga724a5df282b70cec0a6cb0d6dcddb6d6"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga724a5df282b70cec0a6cb0d6dcddb6d6">yaw</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<p>Defines a templated quaternion type and several quaternion operations. </p>
<p>&lt;<a class="el" href="a00093.html" title="OpenGL Mathematics (glm.g-truc.net) ">glm/gtc/quaternion.hpp</a>&gt; need to be included to use these functionalities. </p>
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<h2 class="groupheader">Function Documentation</h2>
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<a class="anchor" id="gad4a4448baedb198b2b1e7880d2544dc9"></a>
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<td class="memname">GLM_FUNC_DECL T glm::angle </td>
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<td>(</td>
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<td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
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<p>Returns the quaternion rotation angle. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="paramtype">T const &amp;&#160;</td>
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<td class="paramtype">tvec3&lt; T, P &gt; const &amp;&#160;</td>
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<p>Build a quaternion from an angle and a normalized axis. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">angle</td><td>Angle expressed in radians. </td></tr>
<tr><td class="paramname">axis</td><td>Axis of the quaternion, must be normalized.</td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
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<p>Returns the q rotation axis. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
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<p>Returns the q conjugate. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL T glm::dot </td>
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<p>Returns dot product of q1 and q2, i.e., q1[0] * q2[0] + q1[1] * q2[1] + ... </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<p>Returns the component-wise comparison of result x == y. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
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<p>Returns euler angles, yitch as x, yaw as y, roll as z. </p>
<p>The result is expressed in radians if GLM_FORCE_RADIANS is defined or degrees otherwise.</p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="paramname"><em>x</em>, </td>
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<td class="paramname"><em>y</em>&#160;</td>
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<p>Returns the component-wise comparison of result x &gt; y. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="paramname"><em>x</em>, </td>
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<p>Returns the component-wise comparison of result x &gt;= y. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
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<p>Returns the q inverse. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL T glm::length </td>
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<p>Returns the length of the quaternion. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
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<p>Linear interpolation of two quaternions. </p>
<p>The interpolation is oriented.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>A quaternion </td></tr>
<tr><td class="paramname">y</td><td>A quaternion </td></tr>
<tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined in the range [0, 1]. </td></tr>
</table>
</dd>
</dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">T</td><td>Value type used to build the quaternion. Supported: half, float or double. </td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
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<p>Returns the component-wise comparison result of x &lt; y. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
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<p>Returns the component-wise comparison of result x &lt;= y. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL tmat3x3&lt;T, P&gt; glm::mat3_cast </td>
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<p>Converts a quaternion to a 3 * 3 matrix. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
<p>Referenced by <a class="el" href="a00094_source.html#l00153">glm::toMat3()</a>.</p>
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<td class="memname">GLM_FUNC_DECL tmat4x4&lt;T, P&gt; glm::mat4_cast </td>
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<td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
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<p>Converts a quaternion to a 4 * 4 matrix. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
<p>Referenced by <a class="el" href="a00094_source.html#l00160">glm::toMat4()</a>.</p>
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<td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
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<td class="paramtype">T const &amp;&#160;</td>
<td class="paramname"><em>a</em>&#160;</td>
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<p>Spherical linear interpolation of two quaternions. </p>
<p>The interpolation is oriented and the rotation is performed at constant speed. For short path spherical linear interpolation, use the slerp function.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>A quaternion </td></tr>
<tr><td class="paramname">y</td><td>A quaternion </td></tr>
<tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined beyond the range [0, 1]. </td></tr>
</table>
</dd>
</dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">T</td><td>Value type used to build the quaternion. Supported: half, float or double. </td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd>
<dd>
- slerp(tquat&lt;T, P&gt; const &amp; x, tquat&lt;T, P&gt; const &amp; y, T const &amp; a) </dd></dl>
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<td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
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<p>Returns the normalized quaternion. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL tvec4&lt;bool, P&gt; glm::notEqual </td>
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<p>Returns the component-wise comparison of result x != y. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL T glm::pitch </td>
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<p>Returns pitch value of euler angles expressed in radians. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00221.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
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<td class="paramtype">tmat3x3&lt; T, P &gt; const &amp;&#160;</td>
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<p>Converts a 3 * 3 matrix to a quaternion. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
<p>Referenced by <a class="el" href="a00094_source.html#l00167">glm::toQuat()</a>.</p>
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<p>Converts a 4 * 4 matrix to a quaternion. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL T glm::roll </td>
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<p>Returns roll value of euler angles expressed in radians. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00221.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
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<td class="paramtype">T const &amp;&#160;</td>
<td class="paramname"><em>angle</em>, </td>
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<td class="paramtype">tvec3&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>axis</em>&#160;</td>
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<p>Rotates a quaternion from a vector of 3 components axis and an angle. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">q</td><td>Source orientation </td></tr>
<tr><td class="paramname">angle</td><td>Angle expressed in radians. </td></tr>
<tr><td class="paramname">axis</td><td>Axis of the rotation</td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="paramname"><em>a</em>&#160;</td>
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<p>Spherical linear interpolation of two quaternions. </p>
<p>The interpolation always take the short path and the rotation is performed at constant speed.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>A quaternion </td></tr>
<tr><td class="paramname">y</td><td>A quaternion </td></tr>
<tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined beyond the range [0, 1]. </td></tr>
</table>
</dd>
</dl>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">T</td><td>Value type used to build the quaternion. Supported: half, float or double. </td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a></dd></dl>
<p>Spherical linear interpolation of two quaternions. </p>
<p>Definition at line <a class="el" href="a00015_source.html#l00076">76</a> of file <a class="el" href="a00015_source.html">compatibility.hpp</a>.</p>
<p>References <a class="el" href="a00149.html#gadccbaffe46f369cf1a96b2aef92cbfdd">glm::mix()</a>.</p>
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<td class="memname">GLM_FUNC_DECL T glm::yaw </td>
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<p>Returns yaw value of euler angles expressed in radians. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00221.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
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