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<title>GLM_GTC_quaternion: Quaternion types and functions</title>
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<div class="header">
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<div class="summary">
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<a href="#nested-classes">Classes</a> |
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<a href="#typedef-members">Typedefs</a> |
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<a href="#func-members">Functions</a> </div>
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<div class="headertitle">
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<h1>GLM_GTC_quaternion: Quaternion types and functions</h1> </div>
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<div class="ingroups"><a class="el" href="a00151.html">GTC Extensions (Stable)</a></div></div>
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<div class="contents">
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<p>Defines a templated quaternion type and several quaternion operations.
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<a href="#_details">More...</a></p>
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<table class="memberdecls">
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<tr><td colspan="2"><h2><a name="nested-classes"></a>
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Classes</h2></td></tr>
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<tr><td class="memItemLeft" align="right" valign="top">struct  </td><td class="memItemRight" valign="bottom"><a class="el" href="a00015.html">tquat< T ></a></td></tr>
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<tr><td class="mdescLeft"> </td><td class="mdescRight">Template for quaternion. <a href="a00015.html#_details">More...</a><br/></td></tr>
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<tr><td colspan="2"><h2><a name="typedef-members"></a>
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Typedefs</h2></td></tr>
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<tr><td class="memItemLeft" align="right" valign="top">typedef detail::tquat< double > </td><td class="memItemRight" valign="bottom"><a class="el" href="a00164.html#ga5428321324094c7170d6133c8139d255">dquat</a></td></tr>
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<tr><td class="memItemLeft" align="right" valign="top">typedef detail::tquat< float > </td><td class="memItemRight" valign="bottom"><a class="el" href="a00164.html#gaae07c293efbe1c530ff18044a15fe662">fquat</a></td></tr>
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<tr><td class="memItemLeft" align="right" valign="top">typedef detail::tquat<br class="typebreak"/>
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< highp_float > </td><td class="memItemRight" valign="bottom"><a class="el" href="a00164.html#ga8a7c2c751ad30db9ec4268a6b7d99f6c">highp_quat</a></td></tr>
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<tr><td class="memItemLeft" align="right" valign="top">typedef detail::tquat<br class="typebreak"/>
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< detail::thalf > </td><td class="memItemRight" valign="bottom"><a class="el" href="a00164.html#ga552e75db1669a7a86b59070d4efd6941">hquat</a></td></tr>
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<tr><td class="memItemLeft" align="right" valign="top">typedef detail::tquat< lowp_float > </td><td class="memItemRight" valign="bottom"><a class="el" href="a00164.html#ga5acd0f3e9f9e3c0e6577440443ec4594">lowp_quat</a></td></tr>
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<tr><td class="memItemLeft" align="right" valign="top">typedef detail::tquat<br class="typebreak"/>
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< mediump_float > </td><td class="memItemRight" valign="bottom"><a class="el" href="a00164.html#gae93fe73ea5fe5e2150c2eb0641394dc8">mediump_quat</a></td></tr>
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<tr><td class="memItemLeft" align="right" valign="top">typedef detail::tquat< float > </td><td class="memItemRight" valign="bottom"><a class="el" href="a00164.html#ga60408579db470456070a3336295625a7">quat</a></td></tr>
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<tr><td colspan="2"><h2><a name="func-members"></a>
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Functions</h2></td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00164.html#gac2e575634cbe9976962cce19baa83936">conjugate</a> (detail::tquat< T > const &q)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00164.html#ga01ecb95afd41289c5f74d13f2096e8e1">dot</a> (detail::tquat< T > const &q1, detail::tquat< T > const &q2)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00164.html#ga109582899c5ead9ce7c84e8f2015ebb7">inverse</a> (detail::tquat< T > const &q)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00164.html#ga820b6354b6523c353f3a2460e17c735d">length</a> (detail::tquat< T > const &q)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat3x3< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00164.html#ga815da020156496d268b9aaa72fe60ea0">mat3_cast</a> (detail::tquat< T > const &x)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat4x4< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00164.html#ga2515d70c9edd4c6e68b11969a6e8549d">mat4_cast</a> (detail::tquat< T > const &x)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00164.html#ga9dfe40b6dd11b3602f2ef73c3b91d08d">mix</a> (detail::tquat< T > const &x, detail::tquat< T > const &y, T const &a)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00164.html#ga0564ba25607ce26506d4f6cade21f092">normalize</a> (detail::tquat< T > const &q)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00164.html#ga60f5a15b081119d6dd09038ae856e7e4">quat_cast</a> (detail::tmat3x3< T > const &x)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00164.html#ga316eb1eada702b0a8d678c031abdcab4">quat_cast</a> (detail::tmat4x4< T > const &x)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00164.html#ga1825b93f049ab9805021b1c0b350cdab">rotate</a> (detail::tquat< T > const &q, typename detail::tquat< T >::value_type const &angle, detail::tvec3< T > const &v)</td></tr>
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</table>
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<hr/><a name="_details"></a><h2>Detailed Description</h2>
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<p>Defines a templated quaternion type and several quaternion operations. </p>
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<p><<a class="el" href="a00091.html" title="OpenGL Mathematics (glm.g-truc.net)">glm/gtc/quaternion.hpp</a>> need to be included to use these functionalities. </p>
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<hr/><h2>Typedef Documentation</h2>
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<a class="anchor" id="ga5428321324094c7170d6133c8139d255"></a><!-- doxytag: member="glm::dquat" ref="ga5428321324094c7170d6133c8139d255" args="" -->
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<td class="memname">typedef detail::tquat<double> dquat</td>
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<div class="memdoc">
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<p>Quaternion of double-precision floating-point numbers. </p>
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<dl class="see"><dt><b>See also:</b></dt><dd>- <a class="el" href="a00164.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion: Quaternion types and functions</a> </dd></dl>
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<p>Definition at line <a class="el" href="a00091_source.html#l00253">253</a> of file <a class="el" href="a00091_source.html">gtc/quaternion.hpp</a>.</p>
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</div>
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</div>
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<a class="anchor" id="gaae07c293efbe1c530ff18044a15fe662"></a><!-- doxytag: member="glm::fquat" ref="gaae07c293efbe1c530ff18044a15fe662" args="" -->
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<td class="memname">typedef detail::tquat<float> fquat</td>
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<div class="memdoc">
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<p>Quaternion of single-precision floating-point numbers. </p>
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<dl class="see"><dt><b>See also:</b></dt><dd>- <a class="el" href="a00164.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion: Quaternion types and functions</a> </dd></dl>
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<p>Definition at line <a class="el" href="a00091_source.html#l00248">248</a> of file <a class="el" href="a00091_source.html">gtc/quaternion.hpp</a>.</p>
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</div>
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</div>
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<a class="anchor" id="ga8a7c2c751ad30db9ec4268a6b7d99f6c"></a><!-- doxytag: member="glm::highp_quat" ref="ga8a7c2c751ad30db9ec4268a6b7d99f6c" args="" -->
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<td class="memname">typedef detail::tquat<highp_float> highp_quat</td>
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<div class="memdoc">
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<p>Quaternion of high precision floating-point numbers. </p>
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<dl class="see"><dt><b>See also:</b></dt><dd>- <a class="el" href="a00164.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion: Quaternion types and functions</a> </dd></dl>
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<p>Definition at line <a class="el" href="a00091_source.html#l00268">268</a> of file <a class="el" href="a00091_source.html">gtc/quaternion.hpp</a>.</p>
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</div>
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</div>
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<a class="anchor" id="ga552e75db1669a7a86b59070d4efd6941"></a><!-- doxytag: member="glm::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>
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<dl class="see"><dt><b>See also:</b></dt><dd>- <a class="el" href="a00164.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion: Quaternion types and functions</a> </dd></dl>
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<p>Definition at line <a class="el" href="a00091_source.html#l00243">243</a> of file <a class="el" href="a00091_source.html">gtc/quaternion.hpp</a>.</p>
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<a class="anchor" id="ga5acd0f3e9f9e3c0e6577440443ec4594"></a><!-- doxytag: member="glm::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>
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<dl class="see"><dt><b>See also:</b></dt><dd>- <a class="el" href="a00164.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion: Quaternion types and functions</a> </dd></dl>
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<p>Definition at line <a class="el" href="a00091_source.html#l00258">258</a> of file <a class="el" href="a00091_source.html">gtc/quaternion.hpp</a>.</p>
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<a class="anchor" id="gae93fe73ea5fe5e2150c2eb0641394dc8"></a><!-- doxytag: member="glm::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>
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<dl class="see"><dt><b>See also:</b></dt><dd>- <a class="el" href="a00164.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion: Quaternion types and functions</a> </dd></dl>
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<p>Definition at line <a class="el" href="a00091_source.html#l00263">263</a> of file <a class="el" href="a00091_source.html">gtc/quaternion.hpp</a>.</p>
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<a class="anchor" id="ga60408579db470456070a3336295625a7"></a><!-- doxytag: member="glm::quat" ref="ga60408579db470456070a3336295625a7" args="" -->
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<td class="memname">typedef detail::tquat<float> quat</td>
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<p>Quaternion of floating-point numbers. </p>
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<dl class="see"><dt><b>See also:</b></dt><dd>- <a class="el" href="a00164.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion: Quaternion types and functions</a> </dd></dl>
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<p>Definition at line <a class="el" href="a00091_source.html#l00238">238</a> of file <a class="el" href="a00091_source.html">gtc/quaternion.hpp</a>.</p>
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<hr/><h2>Function Documentation</h2>
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<a class="anchor" id="gac2e575634cbe9976962cce19baa83936"></a><!-- doxytag: member="glm::conjugate" ref="gac2e575634cbe9976962cce19baa83936" args="(detail::tquat< T > const &q)" -->
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<td class="memname">detail::tquat<T> glm::conjugate </td>
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<td>(</td>
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<td class="paramtype">detail::tquat< T > const & </td>
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<td class="paramname"><em>q</em></td><td>)</td>
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<p>Returns the q conjugate. </p>
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<dl class="see"><dt><b>See also:</b></dt><dd>- <a class="el" href="a00164.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion: Quaternion types and functions</a> </dd></dl>
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<a class="anchor" id="ga01ecb95afd41289c5f74d13f2096e8e1"></a><!-- doxytag: member="glm::dot" ref="ga01ecb95afd41289c5f74d13f2096e8e1" args="(detail::tquat< T > const &q1, detail::tquat< T > const &q2)" -->
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<td class="memname">T glm::dot </td>
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<td>(</td>
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<td class="paramtype">detail::tquat< T > const & </td>
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<td class="paramname"><em>q1</em>, </td>
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<td class="paramtype">detail::tquat< T > const & </td>
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<td></td>
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<td>)</td>
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<p>Returns dot product of q1 and q2, i.e., q1[0] * q2[0] + q1[1] * q2[1] + ... </p>
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<dl class="see"><dt><b>See also:</b></dt><dd>- <a class="el" href="a00164.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion: Quaternion types and functions</a> </dd></dl>
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<a class="anchor" id="ga109582899c5ead9ce7c84e8f2015ebb7"></a><!-- doxytag: member="glm::inverse" ref="ga109582899c5ead9ce7c84e8f2015ebb7" args="(detail::tquat< T > const &q)" -->
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<td class="memname">detail::tquat<T> glm::inverse </td>
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<td>(</td>
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<td class="paramtype">detail::tquat< T > const & </td>
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<p>Returns the q inverse. </p>
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<dl class="see"><dt><b>See also:</b></dt><dd>- <a class="el" href="a00164.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion: Quaternion types and functions</a> </dd></dl>
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<a class="anchor" id="ga820b6354b6523c353f3a2460e17c735d"></a><!-- doxytag: member="glm::length" ref="ga820b6354b6523c353f3a2460e17c735d" args="(detail::tquat< T > const &q)" -->
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<td class="memname">T glm::length </td>
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<td class="paramtype">detail::tquat< T > const & </td>
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<p>Returns the length of the quaternion. </p>
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<dl class="see"><dt><b>See also:</b></dt><dd>- <a class="el" href="a00164.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion: Quaternion types and functions</a> </dd></dl>
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<a class="anchor" id="ga815da020156496d268b9aaa72fe60ea0"></a><!-- doxytag: member="glm::mat3_cast" ref="ga815da020156496d268b9aaa72fe60ea0" args="(detail::tquat< T > const &x)" -->
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<td class="paramtype">detail::tquat< T > const & </td>
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<p>Converts a quaternion to a 3 * 3 matrix. </p>
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<dl class="see"><dt><b>See also:</b></dt><dd>- <a class="el" href="a00164.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion: Quaternion types and functions</a> </dd></dl>
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<p>Referenced by <a class="el" href="a00092_source.html#l00189">glm::toMat3()</a>.</p>
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<a class="anchor" id="ga2515d70c9edd4c6e68b11969a6e8549d"></a><!-- doxytag: member="glm::mat4_cast" ref="ga2515d70c9edd4c6e68b11969a6e8549d" args="(detail::tquat< T > const &x)" -->
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<td class="memname">detail::tmat4x4<T> glm::mat4_cast </td>
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<td>(</td>
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<p>Converts a quaternion to a 4 * 4 matrix. </p>
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<dl class="see"><dt><b>See also:</b></dt><dd>- <a class="el" href="a00164.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion: Quaternion types and functions</a> </dd></dl>
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<p>Referenced by <a class="el" href="a00092_source.html#l00195">glm::toMat4()</a>.</p>
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<a class="anchor" id="ga9dfe40b6dd11b3602f2ef73c3b91d08d"></a><!-- doxytag: member="glm::mix" ref="ga9dfe40b6dd11b3602f2ef73c3b91d08d" args="(detail::tquat< T > const &x, detail::tquat< T > const &y, T const &a)" -->
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<p>Returns a SLERP interpolated quaternion of x and y according a. </p>
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<dl class="see"><dt><b>See also:</b></dt><dd>- <a class="el" href="a00164.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion: Quaternion types and functions</a> </dd></dl>
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<a class="anchor" id="ga0564ba25607ce26506d4f6cade21f092"></a><!-- doxytag: member="glm::normalize" ref="ga0564ba25607ce26506d4f6cade21f092" args="(detail::tquat< T > const &q)" -->
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<p>Returns the normalized quaternion. </p>
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<dl class="see"><dt><b>See also:</b></dt><dd>- <a class="el" href="a00164.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion: Quaternion types and functions</a> </dd></dl>
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<a class="anchor" id="ga60f5a15b081119d6dd09038ae856e7e4"></a><!-- doxytag: member="glm::quat_cast" ref="ga60f5a15b081119d6dd09038ae856e7e4" args="(detail::tmat3x3< T > const &x)" -->
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<td class="memname">detail::tquat<T> glm::quat_cast </td>
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<td>(</td>
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<p>Converts a 3 * 3 matrix to a quaternion. </p>
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<dl class="see"><dt><b>See also:</b></dt><dd>- <a class="el" href="a00164.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion: Quaternion types and functions</a> </dd></dl>
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<p>Referenced by <a class="el" href="a00092_source.html#l00201">glm::toQuat()</a>.</p>
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<a class="anchor" id="ga316eb1eada702b0a8d678c031abdcab4"></a><!-- doxytag: member="glm::quat_cast" ref="ga316eb1eada702b0a8d678c031abdcab4" args="(detail::tmat4x4< T > const &x)" -->
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<p>Converts a 4 * 4 matrix to a quaternion. </p>
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<dl class="see"><dt><b>See also:</b></dt><dd>- <a class="el" href="a00164.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion: Quaternion types and functions</a> </dd></dl>
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<a class="anchor" id="ga1825b93f049ab9805021b1c0b350cdab"></a><!-- doxytag: member="glm::rotate" ref="ga1825b93f049ab9805021b1c0b350cdab" args="(detail::tquat< T > const &q, typename detail::tquat< T >::value_type const &angle, detail::tvec3< T > const &v)" -->
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<td class="paramname"><em>v</em> </td>
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<p>Rotates a quaternion from an vector of 3 components axis and an angle expressed in degrees. </p>
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<dl class="see"><dt><b>See also:</b></dt><dd>- <a class="el" href="a00164.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion: Quaternion types and functions</a> </dd></dl>
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