glm/doc/api-0.9.2/a00286.html
Christophe Riccio 8d2d112180 Added API doc
2011-10-24 15:24:48 +01:00

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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="title">GLM_GTX_quaternion: Extented quaternion types and functions</div> </div>
<div class="ingroups"><a class="el" href="a00248.html">GTX Extensions (Experimental)</a></div></div>
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<p>Extented quaternion types and functions.
<a href="#details">More...</a></p>
<table class="memberdecls">
<tr><td colspan="2"><h2><a name="func-members"></a>
Functions</h2></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">valType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00286.html#ga6a3387a7d60728f60d86546b2f4d4d30">angle</a> (detail::tquat&lt; valType &gt; const &amp;x)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00286.html#ga4412b01c376d9cfc9cc06b2d511d0f16">angleAxis</a> (valType const &amp;angle, valType const &amp;x, valType const &amp;y, valType const &amp;z)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00286.html#gaac770715e5e3dc93f48c6634b59efd43">angleAxis</a> (valType const &amp;angle, detail::tvec3&lt; valType &gt; const &amp;axis)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tvec3&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00286.html#ga6dd1904e2a6cc8e54bd324994094a6f9">axis</a> (detail::tquat&lt; valType &gt; const &amp;x)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tvec3&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00286.html#ga2a222a07e879ab25de36d6b5a8f6610d">cross</a> (detail::tquat&lt; valType &gt; const &amp;q, detail::tvec3&lt; valType &gt; const &amp;v)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tvec3&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00286.html#ga07cefaf434b895aa6a1841837f0c106d">cross</a> (detail::tvec3&lt; valType &gt; const &amp;v, detail::tquat&lt; valType &gt; const &amp;q)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tvec3&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00286.html#ga39be27be43d9f80ce5bfc5e1adf21412">eulerAngles</a> (detail::tquat&lt; valType &gt; const &amp;x)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00286.html#gaed2302270ec468d26de745516ccb5d4b">exp</a> (detail::tquat&lt; valType &gt; const &amp;q, valType const &amp;exponent)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">valType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00286.html#ga23eb8e1aeaf751f7cc46fbaa291e223d">extractRealComponent</a> (detail::tquat&lt; valType &gt; const &amp;q)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00286.html#ga65d5734ce29049d334992f6a59e27e58">fastMix</a> (detail::tquat&lt; T &gt; const &amp;x, detail::tquat&lt; T &gt; const &amp;y, T const &amp;a)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">valType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00286.html#gafad23e37f1723bbbbd7f9498cd729126">pitch</a> (detail::tquat&lt; valType &gt; const &amp;x)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00286.html#ga42873121534327c9e5238f3ca3d6cd03">pow</a> (detail::tquat&lt; valType &gt; const &amp;x, valType const &amp;y)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">valType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00286.html#ga60a4f955b2836d85f3d21ded84879926">roll</a> (detail::tquat&lt; valType &gt; const &amp;x)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tvec3&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00286.html#ga7f163c787898b76dc1d91eb48523ce87">rotate</a> (detail::tquat&lt; valType &gt; const &amp;q, detail::tvec3&lt; valType &gt; const &amp;v)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tvec4&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00286.html#ga92cb29907ffd24771d31f06c94e6d166">rotate</a> (detail::tquat&lt; valType &gt; const &amp;q, detail::tvec4&lt; valType &gt; const &amp;v)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00286.html#ga22566896a998311431a0612e1c222002">shortMix</a> (detail::tquat&lt; T &gt; const &amp;x, detail::tquat&lt; T &gt; const &amp;y, T const &amp;a)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00286.html#ga203b736245b7519eb151ac46e0bf7f21">squad</a> (detail::tquat&lt; valType &gt; const &amp;q1, detail::tquat&lt; valType &gt; const &amp;q2, detail::tquat&lt; valType &gt; const &amp;s1, detail::tquat&lt; valType &gt; const &amp;s2, valType const &amp;h)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat3x3&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00286.html#ga61ec971322157330116a3aefe5bae609">toMat3</a> (detail::tquat&lt; valType &gt; const &amp;x)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat4x4&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00286.html#ga80622343bd7ccf43c9b4cb677ba3ce38">toMat4</a> (detail::tquat&lt; valType &gt; const &amp;x)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00286.html#ga2d9d1916258d13bd5f0373341400f18c">toQuat</a> (detail::tmat4x4&lt; valType &gt; const &amp;x)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tquat&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00286.html#ga991e534718ab690ff21e201f27bfd43b">toQuat</a> (detail::tmat3x3&lt; valType &gt; const &amp;x)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">valType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00286.html#ga4795f1cc522d82d672f7be9a405583c4">yaw</a> (detail::tquat&lt; valType &gt; const &amp;x)</td></tr>
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<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<p>Extented quaternion types and functions. </p>
<p>&lt;<a class="el" href="a00095_source.html">glm/gtx/quaternion.hpp</a>&gt; need to be included to use these functionalities. </p>
<hr/><h2>Function Documentation</h2>
<a class="anchor" id="ga6a3387a7d60728f60d86546b2f4d4d30"></a><!-- doxytag: member="glm::gtx::quaternion::angle" ref="ga6a3387a7d60728f60d86546b2f4d4d30" args="(detail::tquat&lt; valType &gt; const &amp;x)" -->
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<td class="memname">valType glm::gtx::quaternion::angle </td>
<td>(</td>
<td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
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<div class="memdoc">
<p>Returns the quaternion rotation angle. </p>
<p>From GLM_GTX_quaternion extension. </p>
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<a class="anchor" id="ga4412b01c376d9cfc9cc06b2d511d0f16"></a><!-- doxytag: member="glm::gtx::quaternion::angleAxis" ref="ga4412b01c376d9cfc9cc06b2d511d0f16" args="(valType const &amp;angle, valType const &amp;x, valType const &amp;y, valType const &amp;z)" -->
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<td class="memname">detail::tquat&lt;valType&gt; glm::gtx::quaternion::angleAxis </td>
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<td class="paramtype">valType const &amp;&#160;</td>
<td class="paramname"><em>angle</em>, </td>
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<td class="paramtype">valType const &amp;&#160;</td>
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<p>Build a quaternion from an angle and a normalized axis. </p>
<p>From GLM_GTX_quaternion extension. </p>
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</div>
<a class="anchor" id="gaac770715e5e3dc93f48c6634b59efd43"></a><!-- doxytag: member="glm::gtx::quaternion::angleAxis" ref="gaac770715e5e3dc93f48c6634b59efd43" args="(valType const &amp;angle, detail::tvec3&lt; valType &gt; const &amp;axis)" -->
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<td class="memname">detail::tquat&lt;valType&gt; glm::gtx::quaternion::angleAxis </td>
<td>(</td>
<td class="paramtype">valType 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">detail::tvec3&lt; valType &gt; const &amp;&#160;</td>
<td class="paramname"><em>axis</em>&#160;</td>
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<td>)</td>
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<div class="memdoc">
<p>Build a quaternion from an angle and a normalized axis. </p>
<p>From GLM_GTX_quaternion extension. </p>
</div>
</div>
<a class="anchor" id="ga6dd1904e2a6cc8e54bd324994094a6f9"></a><!-- doxytag: member="glm::gtx::quaternion::axis" ref="ga6dd1904e2a6cc8e54bd324994094a6f9" args="(detail::tquat&lt; valType &gt; const &amp;x)" -->
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<td class="memname">detail::tvec3&lt;valType&gt; glm::gtx::quaternion::axis </td>
<td>(</td>
<td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
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<p>Returns the q rotation axis. </p>
<p>From GLM_GTX_quaternion extension. </p>
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<a class="anchor" id="ga2a222a07e879ab25de36d6b5a8f6610d"></a><!-- doxytag: member="glm::gtx::quaternion::cross" ref="ga2a222a07e879ab25de36d6b5a8f6610d" args="(detail::tquat&lt; valType &gt; const &amp;q, detail::tvec3&lt; valType &gt; const &amp;v)" -->
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<td class="memname">detail::tvec3&lt;valType&gt; glm::gtx::quaternion::cross </td>
<td>(</td>
<td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
<td class="paramname"><em>q</em>, </td>
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<td class="paramtype">detail::tvec3&lt; valType &gt; const &amp;&#160;</td>
<td class="paramname"><em>v</em>&#160;</td>
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<p>Compute a cross product between a quaternion and a vector. </p>
<p>From GLM_GTX_quaternion extension. </p>
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<a class="anchor" id="ga07cefaf434b895aa6a1841837f0c106d"></a><!-- doxytag: member="glm::gtx::quaternion::cross" ref="ga07cefaf434b895aa6a1841837f0c106d" args="(detail::tvec3&lt; valType &gt; const &amp;v, detail::tquat&lt; valType &gt; const &amp;q)" -->
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<td class="memname">detail::tvec3&lt;valType&gt; glm::gtx::quaternion::cross </td>
<td>(</td>
<td class="paramtype">detail::tvec3&lt; valType &gt; const &amp;&#160;</td>
<td class="paramname"><em>v</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
<td class="paramname"><em>q</em>&#160;</td>
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<td>)</td>
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<p>Compute a cross product between a vector and a quaternion. </p>
<p>From GLM_GTX_quaternion extension. </p>
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<a class="anchor" id="ga39be27be43d9f80ce5bfc5e1adf21412"></a><!-- doxytag: member="glm::gtx::quaternion::eulerAngles" ref="ga39be27be43d9f80ce5bfc5e1adf21412" args="(detail::tquat&lt; valType &gt; const &amp;x)" -->
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<td>(</td>
<td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
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<p>Returns euler angles, yitch as x, yaw as y, roll as z. </p>
<p>From GLM_GTX_quaternion extension. </p>
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<a class="anchor" id="gaed2302270ec468d26de745516ccb5d4b"></a><!-- doxytag: member="glm::gtx::quaternion::exp" ref="gaed2302270ec468d26de745516ccb5d4b" args="(detail::tquat&lt; valType &gt; const &amp;q, valType const &amp;exponent)" -->
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<td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
<td class="paramname"><em>q</em>, </td>
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<p>Returns a exp of a quaternion. </p>
<p>From GLM_GTX_quaternion extension. </p>
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<a class="anchor" id="ga23eb8e1aeaf751f7cc46fbaa291e223d"></a><!-- doxytag: member="glm::gtx::quaternion::extractRealComponent" ref="ga23eb8e1aeaf751f7cc46fbaa291e223d" args="(detail::tquat&lt; valType &gt; const &amp;q)" -->
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<td>(</td>
<td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
<td class="paramname"><em>q</em></td><td>)</td>
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<p>Extract the real component of a quaternion. </p>
<p>From GLM_GTX_quaternion extension. </p>
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<a class="anchor" id="ga65d5734ce29049d334992f6a59e27e58"></a><!-- doxytag: member="glm::gtx::quaternion::fastMix" ref="ga65d5734ce29049d334992f6a59e27e58" args="(detail::tquat&lt; T &gt; const &amp;x, detail::tquat&lt; T &gt; const &amp;y, T const &amp;a)" -->
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<td class="memname">detail::tquat&lt;T&gt; glm::gtx::quaternion::fastMix </td>
<td>(</td>
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<td class="paramname"><em>x</em>, </td>
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<p>Quaternion normalized linear interpolation. </p>
<p>From GLM_GTX_quaternion extension. </p>
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<p>Returns an intermediate control point for squad interpolation. </p>
<p>From GLM_GTX_quaternion extension. </p>
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<p>Returns a log of a quaternion. </p>
<p>From GLM_GTX_quaternion extension. </p>
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<td class="memname">valType glm::gtx::quaternion::pitch </td>
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<p>Returns pitch value of euler angles in degrees. </p>
<p>From GLM_GTX_quaternion extension. </p>
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<p>Returns x raised to the y power. </p>
<p>From GLM_GTX_quaternion extension. </p>
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<p>Returns roll value of euler angles in degrees. </p>
<p>From GLM_GTX_quaternion extension. </p>
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<p>Returns quarternion square root. </p>
<p>From GLM_GTX_quaternion extension. Rotates a 3 components vector by a quaternion. From GLM_GTX_transform extension. </p>
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<p>Rotates a 4 components vector by a quaternion. </p>
<p>From GLM_GTX_transform extension. </p>
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<p>Quaternion interpolation using the rotation short path. </p>
<p>From GLM_GTX_quaternion extension. </p>
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<p>Compute a point on a path according squad equation. </p>
<p>q1 and q2 are control points; s1 and s2 are intermediate control points. From GLM_GTX_quaternion extension. </p>
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<p>Converts a quaternion to a 3 * 3 matrix. </p>
<p>From GLM_GTX_quaternion extension. </p>
<p>Definition at line <a class="el" href="a00095_source.html#l00171">171</a> of file <a class="el" href="a00095_source.html">gtx/quaternion.hpp</a>.</p>
<p>References <a class="el" href="a00245.html#ga38702707009c743e9f304aadc25aeeeb">glm::gtc::quaternion::mat3_cast()</a>.</p>
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<p>Converts a quaternion to a 4 * 4 matrix. </p>
<p>From GLM_GTX_quaternion extension. </p>
<p>Definition at line <a class="el" href="a00095_source.html#l00177">177</a> of file <a class="el" href="a00095_source.html">gtx/quaternion.hpp</a>.</p>
<p>References <a class="el" href="a00245.html#gae2d14d52f9fef3da00cf867f9e2e3dfa">glm::gtc::quaternion::mat4_cast()</a>.</p>
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<p>Converts a 4 * 4 matrix to a quaternion. </p>
<p>From GLM_GTX_quaternion extension. </p>
<p>Definition at line <a class="el" href="a00095_source.html#l00189">189</a> of file <a class="el" href="a00095_source.html">gtx/quaternion.hpp</a>.</p>
<p>References <a class="el" href="a00245.html#ga9a8fa3c0a776ce21fde307d94f5a5a52">glm::gtc::quaternion::quat_cast()</a>.</p>
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<p>Converts a 3 * 3 matrix to a quaternion. </p>
<p>From GLM_GTX_quaternion extension. </p>
<p>Definition at line <a class="el" href="a00095_source.html#l00183">183</a> of file <a class="el" href="a00095_source.html">gtx/quaternion.hpp</a>.</p>
<p>References <a class="el" href="a00245.html#ga9a8fa3c0a776ce21fde307d94f5a5a52">glm::gtc::quaternion::quat_cast()</a>.</p>
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<p>Returns yaw value of euler angles in degrees. </p>
<p>From GLM_GTX_quaternion extension. </p>
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