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<title>GLM_GTC_quaternion: Quaternion types and functions</title>
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<div class="title">GLM_GTC_quaternion: Quaternion types and functions</div> </div>
<div class="ingroups"><a class="el" href="a00239.html">GTC Extensions (Stable)</a></div></div>
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<p>Defines a templated quaternion type and several quaternion operations.
<a href="#details">More...</a></p>
<table class="memberdecls">
<tr><td colspan="2"><h2><a name="nested-classes"></a>
Classes</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">struct  </td><td class="memItemRight" valign="bottom"><a class="el" href="a00019.html">tquat< T ></a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Template for quaternion. <a href="a00019.html#details">More...</a><br/></td></tr>
<tr><td colspan="2"><h2><a name="typedef-members"></a>
Typedefs</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef detail::tquat< double > </td><td class="memItemRight" valign="bottom"><a class="el" href="a00245.html#ga5428321324094c7170d6133c8139d255">dquat</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef detail::tquat< float > </td><td class="memItemRight" valign="bottom"><a class="el" href="a00245.html#gaae07c293efbe1c530ff18044a15fe662">fquat</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef detail::tquat<br class="typebreak"/>
< highp_float > </td><td class="memItemRight" valign="bottom"><a class="el" href="a00245.html#ga8a7c2c751ad30db9ec4268a6b7d99f6c">highp_quat</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef detail::tquat<br class="typebreak"/>
< detail::thalf > </td><td class="memItemRight" valign="bottom"><a class="el" href="a00245.html#ga552e75db1669a7a86b59070d4efd6941">hquat</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef detail::tquat< lowp_float > </td><td class="memItemRight" valign="bottom"><a class="el" href="a00245.html#ga5acd0f3e9f9e3c0e6577440443ec4594">lowp_quat</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef detail::tquat<br class="typebreak"/>
< mediump_float > </td><td class="memItemRight" valign="bottom"><a class="el" href="a00245.html#gae93fe73ea5fe5e2150c2eb0641394dc8">mediump_quat</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">typedef detail::tquat< float > </td><td class="memItemRight" valign="bottom"><a class="el" href="a00245.html#ga60408579db470456070a3336295625a7">quat</a></td></tr>
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Functions</h2></td></tr>
<tr><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00245.html#gac66280c86e8efa619ad7dddb2d475aa7">conjugate</a> (detail::tquat< T > const &q)</td></tr>
<tr><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">GLM_DEPRECATED detail::tquat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00245.html#ga6fe2d33aa0cdf188ab362355ad4108c4">cross</a> (detail::tquat< T > const &q1, detail::tquat< T > const &q2)</td></tr>
<tr><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< T >::value_type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00245.html#gaae0285ab092999b98c4f4c8455eeee9f">dot</a> (detail::tquat< T > const &q1, detail::tquat< T > const &q2)</td></tr>
<tr><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00245.html#ga12e7d58d287f181ec2ebf47bc6af6c5c">inverse</a> (detail::tquat< T > const &q)</td></tr>
<tr><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< T >::value_type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00245.html#gabb546279ee6acebe3fe64dce79e7e9f0">length</a> (detail::tquat< T > const &q)</td></tr>
<tr><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat3x3< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00245.html#ga38702707009c743e9f304aadc25aeeeb">mat3_cast</a> (detail::tquat< T > const &x)</td></tr>
<tr><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat4x4< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00245.html#gae2d14d52f9fef3da00cf867f9e2e3dfa">mat4_cast</a> (detail::tquat< T > const &x)</td></tr>
<tr><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00245.html#ga7cacada583bca8e51e9c67f9cd7e69cb">mix</a> (detail::tquat< T > const &x, detail::tquat< T > const &y, T const &a)</td></tr>
<tr><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00245.html#gacca9518d4cb79922ccbcd2d01e886421">normalize</a> (detail::tquat< T > const &q)</td></tr>
<tr><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00245.html#ga188746bbede6cf3cee5337f1f1c6da5b">quat_cast</a> (detail::tmat4x4< T > const &x)</td></tr>
<tr><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00245.html#ga9a8fa3c0a776ce21fde307d94f5a5a52">quat_cast</a> (detail::tmat3x3< T > const &x)</td></tr>
<tr><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00245.html#ga98c5928aefea9c200a285a5f1c3a0da5">rotate</a> (detail::tquat< T > const &q, typename detail::tquat< T >::value_type const &angle, detail::tvec3< T > const &v)</td></tr>
</table>
<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<p>Defines a templated quaternion type and several quaternion operations. </p>
<p><<a class="el" href="a00094_source.html">glm/gtc/quaternion.hpp</a>> need to be included to use these functionalities. </p>
<hr/><h2>Typedef Documentation</h2>
<a class="anchor" id="ga5428321324094c7170d6133c8139d255"></a><!-- doxytag: member="glm::gtc::quaternion::dquat" ref="ga5428321324094c7170d6133c8139d255" args="" -->
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<td class="memname">typedef detail::tquat<double> dquat</td>
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<p>Quaternion of double-precision floating-point numbers. </p>
<p>From GLM_GTC_quaternion extension. </p>
<p>Definition at line <a class="el" href="a00094_source.html#l00222">222</a> of file <a class="el" href="a00094_source.html">gtc/quaternion.hpp</a>.</p>
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<a class="anchor" id="gaae07c293efbe1c530ff18044a15fe662"></a><!-- doxytag: member="glm::gtc::quaternion::fquat" ref="gaae07c293efbe1c530ff18044a15fe662" args="" -->
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<td class="memname">typedef detail::tquat<float> fquat</td>
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<p>Quaternion of single-precision floating-point numbers. </p>
<p>From GLM_GTC_quaternion extension. </p>
<p>Definition at line <a class="el" href="a00094_source.html#l00218">218</a> of file <a class="el" href="a00094_source.html">gtc/quaternion.hpp</a>.</p>
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<a class="anchor" id="ga8a7c2c751ad30db9ec4268a6b7d99f6c"></a><!-- doxytag: member="glm::gtc::quaternion::highp_quat" ref="ga8a7c2c751ad30db9ec4268a6b7d99f6c" args="" -->
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<td class="memname">typedef detail::tquat<highp_float> highp_quat</td>
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<p>Quaternion of high precision floating-point numbers. </p>
<p>From GLM_GTC_quaternion extension. </p>
<p>Definition at line <a class="el" href="a00094_source.html#l00234">234</a> of file <a class="el" href="a00094_source.html">gtc/quaternion.hpp</a>.</p>
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<a class="anchor" id="ga552e75db1669a7a86b59070d4efd6941"></a><!-- doxytag: member="glm::gtc::quaternion::hquat" ref="ga552e75db1669a7a86b59070d4efd6941" args="" -->
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<td class="memname">typedef detail::tquat<detail::thalf> hquat</td>
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<p>Quaternion of half-precision floating-point numbers. </p>
<p>From GLM_GTC_quaternion extension. </p>
<p>Definition at line <a class="el" href="a00094_source.html#l00214">214</a> of file <a class="el" href="a00094_source.html">gtc/quaternion.hpp</a>.</p>
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<a class="anchor" id="ga5acd0f3e9f9e3c0e6577440443ec4594"></a><!-- doxytag: member="glm::gtc::quaternion::lowp_quat" ref="ga5acd0f3e9f9e3c0e6577440443ec4594" args="" -->
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<td class="memname">typedef detail::tquat<lowp_float> lowp_quat</td>
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<p>Quaternion of low precision floating-point numbers. </p>
<p>From GLM_GTC_quaternion extension. </p>
<p>Definition at line <a class="el" href="a00094_source.html#l00226">226</a> of file <a class="el" href="a00094_source.html">gtc/quaternion.hpp</a>.</p>
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<a class="anchor" id="gae93fe73ea5fe5e2150c2eb0641394dc8"></a><!-- doxytag: member="glm::gtc::quaternion::mediump_quat" ref="gae93fe73ea5fe5e2150c2eb0641394dc8" args="" -->
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<td class="memname">typedef detail::tquat<mediump_float> mediump_quat</td>
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<p>Quaternion of medium precision floating-point numbers. </p>
<p>From GLM_GTC_quaternion extension. </p>
<p>Definition at line <a class="el" href="a00094_source.html#l00230">230</a> of file <a class="el" href="a00094_source.html">gtc/quaternion.hpp</a>.</p>
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<a class="anchor" id="ga60408579db470456070a3336295625a7"></a><!-- doxytag: member="glm::gtc::quaternion::quat" ref="ga60408579db470456070a3336295625a7" args="" -->
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<p>Quaternion of floating-point numbers. </p>
<p>From GLM_GTC_quaternion extension. </p>
<p>Definition at line <a class="el" href="a00094_source.html#l00210">210</a> of file <a class="el" href="a00094_source.html">gtc/quaternion.hpp</a>.</p>
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<hr/><h2>Function Documentation</h2>
<a class="anchor" id="gac66280c86e8efa619ad7dddb2d475aa7"></a><!-- doxytag: member="glm::gtc::quaternion::conjugate" ref="gac66280c86e8efa619ad7dddb2d475aa7" args="(detail::tquat< T > const &q)" -->
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<td class="memname">detail::tquat<T> glm::gtc::quaternion::conjugate </td>
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<td class="paramname"><em>q</em></td><td>)</td>
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<p>Returns the q conjugate. </p>
<p>From GLM_GTC_quaternion extension. </p>
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<a class="anchor" id="ga6fe2d33aa0cdf188ab362355ad4108c4"></a><!-- doxytag: member="glm::gtc::quaternion::cross" ref="ga6fe2d33aa0cdf188ab362355ad4108c4" args="(detail::tquat< T > const &q1, detail::tquat< T > const &q2)" -->
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<td class="memname">GLM_DEPRECATED detail::tquat<T> glm::gtc::quaternion::cross </td>
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<td class="paramtype">detail::tquat< T > const & </td>
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<p>Returns the cross product of q1 and q2. </p>
<p>From GLM_GTC_quaternion extension. </p>
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<p>Returns dot product of q1 and q2, i.e., q1[0] * q2[0] + q1[1] * q2[1] + ... </p>
<p>From GLM_GTC_quaternion extension. </p>
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<p>Returns the q inverse. </p>
<p>From GLM_GTC_quaternion extension. </p>
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<p>Returns the length of the quaternion. </p>
<p>From GLM_GTC_quaternion extension. </p>
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<p>Converts a quaternion to a 3 * 3 matrix. </p>
<p>From GLM_GTC_quaternion extension. </p>
<p>Referenced by <a class="el" href="a00095_source.html#l00171">glm::gtx::quaternion::toMat3()</a>.</p>
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<p>Converts a quaternion to a 4 * 4 matrix. </p>
<p>From GLM_GTC_quaternion extension. </p>
<p>Referenced by <a class="el" href="a00095_source.html#l00177">glm::gtx::quaternion::toMat4()</a>.</p>
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<a class="anchor" id="ga7cacada583bca8e51e9c67f9cd7e69cb"></a><!-- doxytag: member="glm::gtc::quaternion::mix" ref="ga7cacada583bca8e51e9c67f9cd7e69cb" args="(detail::tquat< T > const &x, detail::tquat< T > const &y, T const &a)" -->
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<td class="memname">detail::tquat<T> glm::gtc::quaternion::mix </td>
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<p>Returns a SLERP interpolated quaternion of x and y according a. </p>
<p>From GLM_GTC_quaternion extension. </p>
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<a class="anchor" id="gacca9518d4cb79922ccbcd2d01e886421"></a><!-- doxytag: member="glm::gtc::quaternion::normalize" ref="gacca9518d4cb79922ccbcd2d01e886421" args="(detail::tquat< T > const &q)" -->
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<td class="memname">detail::tquat<T> glm::gtc::quaternion::normalize </td>
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<p>Returns the normalized quaternion. </p>
<p>From GLM_GTC_quaternion extension. </p>
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<p>Converts a 4 * 4 matrix to a quaternion. </p>
<p>From GLM_GTC_quaternion extension. </p>
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<p>Converts a 3 * 3 matrix to a quaternion. </p>
<p>From GLM_GTC_quaternion extension. </p>
<p>Referenced by <a class="el" href="a00095_source.html#l00183">glm::gtx::quaternion::toQuat()</a>.</p>
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<p>Rotates a quaternion from an vector of 3 components axis and an angle expressed in degrees. </p>
<p>From GLM_GTC_quaternion extension. </p>
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