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<title>GLM_GTX_quaternion: Extented quaternion types and functions</title>
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<a href="#func-members">Functions</a> </div>
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<div class="headertitle">
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<h1>GLM_GTX_quaternion: Extented quaternion types and functions</h1> </div>
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<div class="ingroups"><a class="el" href="a00152.html">GTX Extensions (Experimental)</a></div></div>
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<div class="contents">
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<p>Extented quaternion types and functions.
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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="func-members"></a>
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Functions</h2></td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">valType </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00210.html#ga9eb5d8efb18df5d24452ac826bb4af70">angle</a> (detail::tquat< valType > const &x)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< valType > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00210.html#gab01ed969dd028f175f8602f934421abb">angleAxis</a> (valType const &angle, valType const &x, valType const &y, valType const &z)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< valType > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00210.html#gaf2621708497c017929ff15b4b014243e">angleAxis</a> (valType const &angle, detail::tvec3< valType > const &axis)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tvec3< valType > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00210.html#gacc113f4bc268d23febee9cc2424a7382">axis</a> (detail::tquat< valType > const &x)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tvec3< valType > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00210.html#ga7dbc42a93b443c4c096ac7b5f07905ca">cross</a> (detail::tquat< valType > const &q, detail::tvec3< valType > const &v)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tvec3< valType > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00210.html#ga02184ac80629a2a7cc67298da9747bd6">cross</a> (detail::tvec3< valType > const &v, detail::tquat< valType > const &q)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tvec3< valType > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00210.html#gaca5e7ee5447c6b1826a96081cf31c1e2">eulerAngles</a> (detail::tquat< valType > const &x)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< valType > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00210.html#ga6b6f7e12fba8c1e967adf7cc00ab6b02">exp</a> (detail::tquat< valType > const &q, valType const &exponent)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">valType </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00210.html#ga914da727f0e054a6fe30402b5ab420eb">extractRealComponent</a> (detail::tquat< valType > 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="a00210.html#ga49c4032ac5c5b4466924e86cabb4f4a9">fastMix</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 valType > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< valType > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00210.html#ga674192b1c88037a8a6af19b055db1d51">intermediate</a> (detail::tquat< valType > const &prev, detail::tquat< valType > const &curr, detail::tquat< valType > const &next)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< valType > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00210.html#ga03f76f06bb85a58046d03dcde5a3fbf1">log</a> (detail::tquat< valType > const &q)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">valType </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00210.html#gaf8e9affef91344a596ffdafe8e32b2c6">pitch</a> (detail::tquat< valType > const &x)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< valType > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00210.html#gad75fdbf081aebd36786e50989857a4fa">pow</a> (detail::tquat< valType > const &x, valType const &y)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">valType </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00210.html#gaf531a764432a5252e2656583fd45ad93">roll</a> (detail::tquat< valType > const &x)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tvec3< valType > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00210.html#ga57be7b7bcc7c487bf67b8e24f4b37229">rotate</a> (detail::tquat< valType > const &q, detail::tvec3< valType > const &v)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tvec4< valType > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00210.html#ga44f5a3a340865a5dc69a1dea7f615530">rotate</a> (detail::tquat< valType > const &q, detail::tvec4< valType > const &v)</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="a00210.html#ga3ee0b8dd0f79849535cf0594c63fe6a9">shortMix</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 valType > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< valType > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00210.html#gace2f0729df1d4fc04f60a1cd11b09dbf">squad</a> (detail::tquat< valType > const &q1, detail::tquat< valType > const &q2, detail::tquat< valType > const &s1, detail::tquat< valType > const &s2, valType const &h)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat3x3< valType > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00210.html#ga3f8121dd134844e5651532d5af283c62">toMat3</a> (detail::tquat< valType > const &x)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat4x4< valType > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00210.html#ga718c512e7b5490618c2b5be158f5eee5">toMat4</a> (detail::tquat< valType > const &x)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< valType > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00210.html#ga57230ebe95889058579e0c2b1be93dbe">toQuat</a> (detail::tmat4x4< valType > const &x)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat< valType > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00210.html#gac4651509e9eaa149d196fd641499ca99">toQuat</a> (detail::tmat3x3< valType > const &x)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">valType </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00210.html#gaa38e83e059f81c0df5b097f73ea1c5d1">yaw</a> (detail::tquat< valType > const &x)</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>Extented quaternion types and functions. </p>
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<p><<a class="el" href="a00092.html" title="OpenGL Mathematics (glm.g-truc.net)">glm/gtx/quaternion.hpp</a>> need to be included to use these functionalities. </p>
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<hr/><h2>Function Documentation</h2>
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<a class="anchor" id="ga9eb5d8efb18df5d24452ac826bb4af70"></a><!-- doxytag: member="glm::angle" ref="ga9eb5d8efb18df5d24452ac826bb4af70" args="(detail::tquat< valType > const &x)" -->
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<td class="memname">valType glm::angle </td>
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<td>(</td>
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<td class="paramtype">detail::tquat< valType > const & </td>
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<td class="paramname"><em>x</em></td><td>)</td>
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<td></td>
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</tr>
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</div>
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<div class="memdoc">
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<p>Returns the quaternion rotation angle. </p>
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<p>From GLM_GTX_quaternion extension. </p>
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</div>
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</div>
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<a class="anchor" id="gab01ed969dd028f175f8602f934421abb"></a><!-- doxytag: member="glm::angleAxis" ref="gab01ed969dd028f175f8602f934421abb" args="(valType const &angle, valType const &x, valType const &y, valType const &z)" -->
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<td class="memname">detail::tquat<valType> glm::angleAxis </td>
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<td>(</td>
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<td class="paramtype">valType const & </td>
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<td class="paramname"><em>angle</em>, </td>
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<td class="paramtype">valType const & </td>
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<td class="paramtype">valType const & </td>
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<td>)</td>
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<div class="memdoc">
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<p>Build a quaternion from an angle and a normalized axis. </p>
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<p>From GLM_GTX_quaternion extension. </p>
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</div>
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</div>
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<a class="anchor" id="gaf2621708497c017929ff15b4b014243e"></a><!-- doxytag: member="glm::angleAxis" ref="gaf2621708497c017929ff15b4b014243e" args="(valType const &angle, detail::tvec3< valType > const &axis)" -->
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<div class="memproto">
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<td class="memname">detail::tquat<valType> glm::angleAxis </td>
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<td>(</td>
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<td class="paramtype">valType const & </td>
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<td class="paramname"><em>angle</em>, </td>
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</tr>
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<td class="paramkey"></td>
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<td class="paramtype">detail::tvec3< valType > const & </td>
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<td class="paramname"><em>axis</em> </td>
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<td></td>
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<td>)</td>
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</div>
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<div class="memdoc">
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<p>Build a quaternion from an angle and a normalized axis. </p>
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<p>From GLM_GTX_quaternion extension. </p>
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</div>
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</div>
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<a class="anchor" id="gacc113f4bc268d23febee9cc2424a7382"></a><!-- doxytag: member="glm::axis" ref="gacc113f4bc268d23febee9cc2424a7382" args="(detail::tquat< valType > const &x)" -->
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<div class="memproto">
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<td class="memname">detail::tvec3<valType> glm::axis </td>
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<td>(</td>
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<td class="paramtype">detail::tquat< valType > const & </td>
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<td class="paramname"><em>x</em></td><td>)</td>
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<td></td>
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<div class="memdoc">
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<p>Returns the q rotation axis. </p>
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<p>From GLM_GTX_quaternion extension. </p>
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</div>
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</div>
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<a class="anchor" id="ga7dbc42a93b443c4c096ac7b5f07905ca"></a><!-- doxytag: member="glm::cross" ref="ga7dbc42a93b443c4c096ac7b5f07905ca" args="(detail::tquat< valType > const &q, detail::tvec3< valType > const &v)" -->
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<td class="memname">detail::tvec3<valType> glm::cross </td>
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<td>(</td>
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<td class="paramtype">detail::tquat< valType > const & </td>
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<td class="paramname"><em>q</em>, </td>
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<td class="paramtype">detail::tvec3< valType > const & </td>
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<td>)</td>
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<div class="memdoc">
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<p>Compute a cross product between a quaternion and a vector. </p>
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<p>From GLM_GTX_quaternion extension. </p>
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</div>
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</div>
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<a class="anchor" id="ga02184ac80629a2a7cc67298da9747bd6"></a><!-- doxytag: member="glm::cross" ref="ga02184ac80629a2a7cc67298da9747bd6" args="(detail::tvec3< valType > const &v, detail::tquat< valType > const &q)" -->
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<td class="memname">detail::tvec3<valType> glm::cross </td>
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<td>(</td>
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<td class="paramtype">detail::tvec3< valType > const & </td>
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<td class="paramname"><em>v</em>, </td>
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<td class="paramtype">detail::tquat< valType > const & </td>
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<td class="paramname"><em>q</em> </td>
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<td>)</td>
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<div class="memdoc">
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<p>Compute a cross product between a vector and a quaternion. </p>
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<p>From GLM_GTX_quaternion extension. </p>
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</div>
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</div>
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<a class="anchor" id="gaca5e7ee5447c6b1826a96081cf31c1e2"></a><!-- doxytag: member="glm::eulerAngles" ref="gaca5e7ee5447c6b1826a96081cf31c1e2" args="(detail::tquat< valType > const &x)" -->
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<td class="memname">detail::tvec3<valType> glm::eulerAngles </td>
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<td>(</td>
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<td class="paramtype">detail::tquat< valType > const & </td>
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<p>Returns euler angles, yitch as x, yaw as y, roll as z. </p>
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<p>From GLM_GTX_quaternion extension. </p>
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<a class="anchor" id="ga6b6f7e12fba8c1e967adf7cc00ab6b02"></a><!-- doxytag: member="glm::exp" ref="ga6b6f7e12fba8c1e967adf7cc00ab6b02" args="(detail::tquat< valType > const &q, valType const &exponent)" -->
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<p>Returns a exp of a quaternion. </p>
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<p>From GLM_GTX_quaternion extension. </p>
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<a class="anchor" id="ga914da727f0e054a6fe30402b5ab420eb"></a><!-- doxytag: member="glm::extractRealComponent" ref="ga914da727f0e054a6fe30402b5ab420eb" args="(detail::tquat< valType > const &q)" -->
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<p>Extract the real component of a quaternion. </p>
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<p>From GLM_GTX_quaternion extension. </p>
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<a class="anchor" id="ga49c4032ac5c5b4466924e86cabb4f4a9"></a><!-- doxytag: member="glm::fastMix" ref="ga49c4032ac5c5b4466924e86cabb4f4a9" args="(detail::tquat< T > const &x, detail::tquat< T > const &y, T const &a)" -->
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<p>Quaternion normalized linear interpolation. </p>
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<p>From GLM_GTX_quaternion extension. </p>
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<a class="anchor" id="ga674192b1c88037a8a6af19b055db1d51"></a><!-- doxytag: member="glm::intermediate" ref="ga674192b1c88037a8a6af19b055db1d51" args="(detail::tquat< valType > const &prev, detail::tquat< valType > const &curr, detail::tquat< valType > const &next)" -->
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<p>Returns an intermediate control point for squad interpolation. </p>
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<p>From GLM_GTX_quaternion extension. </p>
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<a class="anchor" id="ga03f76f06bb85a58046d03dcde5a3fbf1"></a><!-- doxytag: member="glm::log" ref="ga03f76f06bb85a58046d03dcde5a3fbf1" args="(detail::tquat< valType > const &q)" -->
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<p>Returns a log of a quaternion. </p>
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<p>From GLM_GTX_quaternion extension. </p>
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<a class="anchor" id="gaf8e9affef91344a596ffdafe8e32b2c6"></a><!-- doxytag: member="glm::pitch" ref="gaf8e9affef91344a596ffdafe8e32b2c6" args="(detail::tquat< valType > const &x)" -->
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<p>Returns pitch value of euler angles in degrees. </p>
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<p>From GLM_GTX_quaternion extension. </p>
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<a class="anchor" id="gad75fdbf081aebd36786e50989857a4fa"></a><!-- doxytag: member="glm::pow" ref="gad75fdbf081aebd36786e50989857a4fa" args="(detail::tquat< valType > const &x, valType const &y)" -->
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<p>Returns x raised to the y power. </p>
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<p>From GLM_GTX_quaternion extension. </p>
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<a class="anchor" id="gaf531a764432a5252e2656583fd45ad93"></a><!-- doxytag: member="glm::roll" ref="gaf531a764432a5252e2656583fd45ad93" args="(detail::tquat< valType > const &x)" -->
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<p>Returns roll value of euler angles in degrees. </p>
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<p>From GLM_GTX_quaternion extension. </p>
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<a class="anchor" id="ga57be7b7bcc7c487bf67b8e24f4b37229"></a><!-- doxytag: member="glm::rotate" ref="ga57be7b7bcc7c487bf67b8e24f4b37229" args="(detail::tquat< valType > const &q, detail::tvec3< valType > const &v)" -->
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<p>Returns quarternion square root. </p>
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<p>From GLM_GTX_quaternion extension. Rotates a 3 components vector by a quaternion. From GLM_GTX_transform extension. </p>
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<a class="anchor" id="ga44f5a3a340865a5dc69a1dea7f615530"></a><!-- doxytag: member="glm::rotate" ref="ga44f5a3a340865a5dc69a1dea7f615530" args="(detail::tquat< valType > const &q, detail::tvec4< valType > const &v)" -->
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<p>Rotates a 4 components vector by a quaternion. </p>
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<p>From GLM_GTX_transform extension. </p>
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<a class="anchor" id="ga3ee0b8dd0f79849535cf0594c63fe6a9"></a><!-- doxytag: member="glm::shortMix" ref="ga3ee0b8dd0f79849535cf0594c63fe6a9" args="(detail::tquat< T > const &x, detail::tquat< T > const &y, T const &a)" -->
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<p>Quaternion interpolation using the rotation short path. </p>
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<p>From GLM_GTX_quaternion extension. </p>
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<a class="anchor" id="gace2f0729df1d4fc04f60a1cd11b09dbf"></a><!-- doxytag: member="glm::squad" ref="gace2f0729df1d4fc04f60a1cd11b09dbf" args="(detail::tquat< valType > const &q1, detail::tquat< valType > const &q2, detail::tquat< valType > const &s1, detail::tquat< valType > const &s2, valType const &h)" -->
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|
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<p>Compute a point on a path according squad equation. </p>
|
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<p>q1 and q2 are control points; s1 and s2 are intermediate control points. From GLM_GTX_quaternion extension. </p>
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<a class="anchor" id="ga3f8121dd134844e5651532d5af283c62"></a><!-- doxytag: member="glm::toMat3" ref="ga3f8121dd134844e5651532d5af283c62" args="(detail::tquat< valType > const &x)" -->
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|
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|
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|
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<p>Converts a quaternion to a 3 * 3 matrix. </p>
|
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<p>From GLM_GTX_quaternion extension. </p>
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<p>Definition at line <a class="el" href="a00092_source.html#l00189">189</a> of file <a class="el" href="a00092_source.html">gtx/quaternion.hpp</a>.</p>
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<p>References <a class="el" href="a00164.html#ga815da020156496d268b9aaa72fe60ea0">glm::mat3_cast()</a>.</p>
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<a class="anchor" id="ga718c512e7b5490618c2b5be158f5eee5"></a><!-- doxytag: member="glm::toMat4" ref="ga718c512e7b5490618c2b5be158f5eee5" args="(detail::tquat< valType > const &x)" -->
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|
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|
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<p>Converts a quaternion to a 4 * 4 matrix. </p>
|
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<p>From GLM_GTX_quaternion extension. </p>
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|
|
<p>Definition at line <a class="el" href="a00092_source.html#l00195">195</a> of file <a class="el" href="a00092_source.html">gtx/quaternion.hpp</a>.</p>
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<p>References <a class="el" href="a00164.html#ga2515d70c9edd4c6e68b11969a6e8549d">glm::mat4_cast()</a>.</p>
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<a class="anchor" id="ga57230ebe95889058579e0c2b1be93dbe"></a><!-- doxytag: member="glm::toQuat" ref="ga57230ebe95889058579e0c2b1be93dbe" args="(detail::tmat4x4< valType > const &x)" -->
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<td class="memname">detail::tquat<valType> glm::toQuat </td>
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<td class="paramtype">detail::tmat4x4< valType > const & </td>
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<td class="paramname"><em>x</em></td><td>)</td>
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<p>Converts a 4 * 4 matrix to a quaternion. </p>
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<p>From GLM_GTX_quaternion extension. </p>
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<p>Definition at line <a class="el" href="a00092_source.html#l00207">207</a> of file <a class="el" href="a00092_source.html">gtx/quaternion.hpp</a>.</p>
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<p>References <a class="el" href="a00164.html#ga60f5a15b081119d6dd09038ae856e7e4">glm::quat_cast()</a>.</p>
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<a class="anchor" id="gac4651509e9eaa149d196fd641499ca99"></a><!-- doxytag: member="glm::toQuat" ref="gac4651509e9eaa149d196fd641499ca99" args="(detail::tmat3x3< valType > const &x)" -->
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<td class="memname">detail::tquat<valType> glm::toQuat </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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<p>From GLM_GTX_quaternion extension. </p>
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<p>Definition at line <a class="el" href="a00092_source.html#l00201">201</a> of file <a class="el" href="a00092_source.html">gtx/quaternion.hpp</a>.</p>
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<p>References <a class="el" href="a00164.html#ga60f5a15b081119d6dd09038ae856e7e4">glm::quat_cast()</a>.</p>
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<a class="anchor" id="gaa38e83e059f81c0df5b097f73ea1c5d1"></a><!-- doxytag: member="glm::yaw" ref="gaa38e83e059f81c0df5b097f73ea1c5d1" args="(detail::tquat< valType > const &x)" -->
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<td class="memname">valType glm::yaw </td>
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<p>Returns yaw value of euler angles in degrees. </p>
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<p>From GLM_GTX_quaternion extension. </p>
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