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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="a00154.html">GTC Extensions (Stable)</a></div></div> </div>
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Functions</h2></td></tr>
<tr class="memitem:gad4a4448baedb198b2b1e7880d2544dc9"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<p>Defines a templated quaternion type and several quaternion operations. </p>
<p>&lt;<a class="el" href="a00087.html" title="GLM_GTC_quaternion ">glm/gtc/quaternion.hpp</a>&gt; need to be included to use these functionalities. </p>
<h2 class="groupheader">Function Documentation</h2>
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<td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</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="a00172.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 tquat&lt;T, P&gt; glm::angleAxis </td>
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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="a00172.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 tvec3&lt;T, P&gt; glm::axis </td>
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<p>Returns the q rotation axis. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.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="a00172.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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<td class="paramtype">quatType&lt; T, P &gt; const &amp;&#160;</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="a00172.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::equal </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="a00172.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 tvec3&lt;T, P&gt; glm::eulerAngles </td>
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<p>Returns euler angles, pitch 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="a00172.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::greaterThan </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>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.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 &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="a00172.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="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
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<p>Returns true if x holds a positive infinity or negative infinity representation in the underlying implementation's set of floating point representations. </p>
<p>Returns false otherwise, including for implementations with no infinity representations.</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
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<tr><td class="paramname">genType</td><td>Floating-point scalar or vector types. </td></tr>
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<p>Returns true if x holds a NaN (not a number) representation in the underlying implementation's set of floating point representations. </p>
<p>Returns false otherwise, including for implementations with no NaN representations.</p>
<p>/!\ When using compiler fast math, this function may fail.</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point scalar or vector types. </td></tr>
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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="a00172.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>
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<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>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.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="a00172.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="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
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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="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
<p>Referenced by <a class="el" href="a00088_source.html#l00124">glm::toMat3()</a>.</p>
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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="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
<p>Referenced by <a class="el" href="a00088_source.html#l00131">glm::toMat4()</a>.</p>
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<td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::mix </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="a00172.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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<p>Returns the normalized quaternion. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.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 != 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="a00172.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>
<td>(</td>
<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 pitch value of euler angles expressed in radians. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00220.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="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
<p>Referenced by <a class="el" href="a00088_source.html#l00138">glm::toQuat()</a>.</p>
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<td class="paramtype">tmat4x4&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
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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="a00172.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><td>)</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="a00220.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
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<td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>q</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">T const &amp;&#160;</td>
<td class="paramname"><em>angle</em>, </td>
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<td class="paramkey"></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="a00172.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 tquat&lt;T, P&gt; glm::slerp </td>
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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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<td class="paramkey"></td>
<td></td>
<td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">T&#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 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="a00172.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::yaw </td>
<td>(</td>
<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 yaw value of euler angles expressed in radians. </p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00220.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
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