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<a href="#func-members">Functions</a> </div>
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<div class="title">GLM_GTX_quaternion<div class="ingroups"><a class="el" href="a00287.html">Experimental extensions</a></div></div> </div>
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</div><!--header-->
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<div class="contents">
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<p>Include <<a class="el" href="a00126.html" title="GLM_GTX_quaternion ">glm/gtx/quaternion.hpp</a>> to use the features of this extension.
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<a href="#details">More...</a></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:ga2f32f970411c44cdd38bb98960198385"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:ga2f32f970411c44cdd38bb98960198385"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec< 3, T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00352.html#ga2f32f970411c44cdd38bb98960198385">cross</a> (qua< T, Q > const &q, vec< 3, T, Q > const &v)</td></tr>
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<tr class="memdesc:ga2f32f970411c44cdd38bb98960198385"><td class="mdescLeft"> </td><td class="mdescRight">Compute a cross product between a quaternion and a vector. <a href="a00352.html#ga2f32f970411c44cdd38bb98960198385">More...</a><br /></td></tr>
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<tr class="separator:ga2f32f970411c44cdd38bb98960198385"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga9f5f77255756e5668dfee7f0d07ed021"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:ga9f5f77255756e5668dfee7f0d07ed021"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec< 3, T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00352.html#ga9f5f77255756e5668dfee7f0d07ed021">cross</a> (vec< 3, T, Q > const &v, qua< T, Q > const &q)</td></tr>
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<tr class="memdesc:ga9f5f77255756e5668dfee7f0d07ed021"><td class="mdescLeft"> </td><td class="mdescRight">Compute a cross product between a vector and a quaternion. <a href="a00352.html#ga9f5f77255756e5668dfee7f0d07ed021">More...</a><br /></td></tr>
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<tr class="separator:ga9f5f77255756e5668dfee7f0d07ed021"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga321953c1b2e7befe6f5dcfddbfc6b76b"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:ga321953c1b2e7befe6f5dcfddbfc6b76b"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00352.html#ga321953c1b2e7befe6f5dcfddbfc6b76b">extractRealComponent</a> (qua< T, Q > const &q)</td></tr>
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<tr class="memdesc:ga321953c1b2e7befe6f5dcfddbfc6b76b"><td class="mdescLeft"> </td><td class="mdescRight">Extract the real component of a quaternion. <a href="a00352.html#ga321953c1b2e7befe6f5dcfddbfc6b76b">More...</a><br /></td></tr>
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<tr class="separator:ga321953c1b2e7befe6f5dcfddbfc6b76b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga264e10708d58dd0ff53b7902a2bd2561"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:ga264e10708d58dd0ff53b7902a2bd2561"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL qua< T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00352.html#ga264e10708d58dd0ff53b7902a2bd2561">fastMix</a> (qua< T, Q > const &x, qua< T, Q > const &y, T const &a)</td></tr>
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<tr class="memdesc:ga264e10708d58dd0ff53b7902a2bd2561"><td class="mdescLeft"> </td><td class="mdescRight">Quaternion normalized linear interpolation. <a href="a00352.html#ga264e10708d58dd0ff53b7902a2bd2561">More...</a><br /></td></tr>
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<tr class="separator:ga264e10708d58dd0ff53b7902a2bd2561"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gacc5cd5f3e78de61d141c2355417424de"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:gacc5cd5f3e78de61d141c2355417424de"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL qua< T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00352.html#gacc5cd5f3e78de61d141c2355417424de">intermediate</a> (qua< T, Q > const &prev, qua< T, Q > const &curr, qua< T, Q > const &next)</td></tr>
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<tr class="memdesc:gacc5cd5f3e78de61d141c2355417424de"><td class="mdescLeft"> </td><td class="mdescRight">Returns an intermediate control point for squad interpolation. <a href="a00352.html#gacc5cd5f3e78de61d141c2355417424de">More...</a><br /></td></tr>
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<tr class="separator:gacc5cd5f3e78de61d141c2355417424de"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga58a609b1b8ab965f5df2702e8ca4e75b"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:ga58a609b1b8ab965f5df2702e8ca4e75b"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00352.html#ga58a609b1b8ab965f5df2702e8ca4e75b">length2</a> (qua< T, Q > const &q)</td></tr>
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<tr class="memdesc:ga58a609b1b8ab965f5df2702e8ca4e75b"><td class="mdescLeft"> </td><td class="mdescRight">Returns the squared length of x. <a href="a00352.html#ga58a609b1b8ab965f5df2702e8ca4e75b">More...</a><br /></td></tr>
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<tr class="separator:ga58a609b1b8ab965f5df2702e8ca4e75b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga5ee8332600b2aca3a77622a28d857b55"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:ga5ee8332600b2aca3a77622a28d857b55"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL qua< T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00352.html#ga5ee8332600b2aca3a77622a28d857b55">quat_identity</a> ()</td></tr>
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<tr class="memdesc:ga5ee8332600b2aca3a77622a28d857b55"><td class="mdescLeft"> </td><td class="mdescRight">Create an identity quaternion. <a href="a00352.html#ga5ee8332600b2aca3a77622a28d857b55">More...</a><br /></td></tr>
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<tr class="separator:ga5ee8332600b2aca3a77622a28d857b55"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga07da6ef58646442efe93b0c273d73776"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:ga07da6ef58646442efe93b0c273d73776"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec< 3, T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00352.html#ga07da6ef58646442efe93b0c273d73776">rotate</a> (qua< T, Q > const &q, vec< 3, T, Q > const &v)</td></tr>
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<tr class="memdesc:ga07da6ef58646442efe93b0c273d73776"><td class="mdescLeft"> </td><td class="mdescRight">Returns quarternion square root. <a href="a00352.html#ga07da6ef58646442efe93b0c273d73776">More...</a><br /></td></tr>
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<tr class="separator:ga07da6ef58646442efe93b0c273d73776"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gafcb78dfff45fbf19a7fcb2bd03fbf196"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:gafcb78dfff45fbf19a7fcb2bd03fbf196"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec< 4, T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00352.html#gafcb78dfff45fbf19a7fcb2bd03fbf196">rotate</a> (qua< T, Q > const &q, vec< 4, T, Q > const &v)</td></tr>
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<tr class="memdesc:gafcb78dfff45fbf19a7fcb2bd03fbf196"><td class="mdescLeft"> </td><td class="mdescRight">Rotates a 4 components vector by a quaternion. <a href="a00352.html#gafcb78dfff45fbf19a7fcb2bd03fbf196">More...</a><br /></td></tr>
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<tr class="separator:gafcb78dfff45fbf19a7fcb2bd03fbf196"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga03e61282831cc3f52cc76f72f52ad2c5"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:ga03e61282831cc3f52cc76f72f52ad2c5"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL qua< T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00352.html#ga03e61282831cc3f52cc76f72f52ad2c5">rotation</a> (vec< 3, T, Q > const &orig, vec< 3, T, Q > const &dest)</td></tr>
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<tr class="memdesc:ga03e61282831cc3f52cc76f72f52ad2c5"><td class="mdescLeft"> </td><td class="mdescRight">Compute the rotation between two vectors. <a href="a00352.html#ga03e61282831cc3f52cc76f72f52ad2c5">More...</a><br /></td></tr>
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<tr class="separator:ga03e61282831cc3f52cc76f72f52ad2c5"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gadc576cc957adc2a568cdcbc3799175bc"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:gadc576cc957adc2a568cdcbc3799175bc"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL qua< T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00352.html#gadc576cc957adc2a568cdcbc3799175bc">shortMix</a> (qua< T, Q > const &x, qua< T, Q > const &y, T const &a)</td></tr>
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<tr class="memdesc:gadc576cc957adc2a568cdcbc3799175bc"><td class="mdescLeft"> </td><td class="mdescRight">Quaternion interpolation using the rotation short path. <a href="a00352.html#gadc576cc957adc2a568cdcbc3799175bc">More...</a><br /></td></tr>
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<tr class="separator:gadc576cc957adc2a568cdcbc3799175bc"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga0b9bf3459e132ad8a18fe970669e3e35"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:ga0b9bf3459e132ad8a18fe970669e3e35"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL qua< T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00352.html#ga0b9bf3459e132ad8a18fe970669e3e35">squad</a> (qua< T, Q > const &q1, qua< T, Q > const &q2, qua< T, Q > const &s1, qua< T, Q > const &s2, T const &h)</td></tr>
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<tr class="memdesc:ga0b9bf3459e132ad8a18fe970669e3e35"><td class="mdescLeft"> </td><td class="mdescRight">Compute a point on a path according squad equation. <a href="a00352.html#ga0b9bf3459e132ad8a18fe970669e3e35">More...</a><br /></td></tr>
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<tr class="separator:ga0b9bf3459e132ad8a18fe970669e3e35"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gaab0afabb894b28a983fb8ec610409d56"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:gaab0afabb894b28a983fb8ec610409d56"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL mat< 3, 3, T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00352.html#gaab0afabb894b28a983fb8ec610409d56">toMat3</a> (qua< T, Q > const &x)</td></tr>
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<tr class="memdesc:gaab0afabb894b28a983fb8ec610409d56"><td class="mdescLeft"> </td><td class="mdescRight">Converts a quaternion to a 3 * 3 matrix. <a href="a00352.html#gaab0afabb894b28a983fb8ec610409d56">More...</a><br /></td></tr>
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<tr class="separator:gaab0afabb894b28a983fb8ec610409d56"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gadfa2c77094e8cc9adad321d938855ffb"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:gadfa2c77094e8cc9adad321d938855ffb"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL mat< 4, 4, T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00352.html#gadfa2c77094e8cc9adad321d938855ffb">toMat4</a> (qua< T, Q > const &x)</td></tr>
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<tr class="memdesc:gadfa2c77094e8cc9adad321d938855ffb"><td class="mdescLeft"> </td><td class="mdescRight">Converts a quaternion to a 4 * 4 matrix. <a href="a00352.html#gadfa2c77094e8cc9adad321d938855ffb">More...</a><br /></td></tr>
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<tr class="separator:gadfa2c77094e8cc9adad321d938855ffb"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga798de5d186499c9a9231cd92c8afaef1"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:ga798de5d186499c9a9231cd92c8afaef1"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL qua< T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00352.html#ga798de5d186499c9a9231cd92c8afaef1">toQuat</a> (mat< 3, 3, T, Q > const &x)</td></tr>
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<tr class="memdesc:ga798de5d186499c9a9231cd92c8afaef1"><td class="mdescLeft"> </td><td class="mdescRight">Converts a 3 * 3 matrix to a quaternion. <a href="a00352.html#ga798de5d186499c9a9231cd92c8afaef1">More...</a><br /></td></tr>
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<tr class="separator:ga798de5d186499c9a9231cd92c8afaef1"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga5eb36f51e1638e710451eba194dbc011"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:ga5eb36f51e1638e710451eba194dbc011"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL qua< T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00352.html#ga5eb36f51e1638e710451eba194dbc011">toQuat</a> (mat< 4, 4, T, Q > const &x)</td></tr>
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<tr class="memdesc:ga5eb36f51e1638e710451eba194dbc011"><td class="mdescLeft"> </td><td class="mdescRight">Converts a 4 * 4 matrix to a quaternion. <a href="a00352.html#ga5eb36f51e1638e710451eba194dbc011">More...</a><br /></td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<p>Include <<a class="el" href="a00126.html" title="GLM_GTX_quaternion ">glm/gtx/quaternion.hpp</a>> to use the features of this extension. </p>
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<p>Extented quaternion types and functions </p>
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<h2 class="groupheader">Function Documentation</h2>
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<a class="anchor" id="ga2f32f970411c44cdd38bb98960198385"></a>
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<td class="memname">GLM_FUNC_DECL vec<3, T, Q> glm::cross </td>
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<td>(</td>
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<td class="paramtype">qua< T, Q > const & </td>
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<td class="paramtype">vec< 3, T, Q > const & </td>
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<p>Compute a cross product between a quaternion and a vector. </p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00352.html" title="Include <glm/gtx/quaternion.hpp> to use the features of this extension. ">GLM_GTX_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL vec<3, T, Q> glm::cross </td>
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<p>Compute a cross product between a vector and a quaternion. </p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00352.html" title="Include <glm/gtx/quaternion.hpp> to use the features of this extension. ">GLM_GTX_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL T glm::extractRealComponent </td>
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<p>Extract the real component of a quaternion. </p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00352.html" title="Include <glm/gtx/quaternion.hpp> to use the features of this extension. ">GLM_GTX_quaternion</a> </dd></dl>
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<p>Quaternion normalized linear interpolation. </p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00352.html" title="Include <glm/gtx/quaternion.hpp> to use the features of this extension. ">GLM_GTX_quaternion</a> </dd></dl>
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<p>Returns an intermediate control point for squad interpolation. </p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00352.html" title="Include <glm/gtx/quaternion.hpp> to use the features of this extension. ">GLM_GTX_quaternion</a> </dd></dl>
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<p>Returns the squared length of x. </p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00352.html" title="Include <glm/gtx/quaternion.hpp> to use the features of this extension. ">GLM_GTX_quaternion</a> </dd></dl>
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<p>Create an identity quaternion. </p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00352.html" title="Include <glm/gtx/quaternion.hpp> to use the features of this extension. ">GLM_GTX_quaternion</a> </dd></dl>
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<p>Returns quarternion square root. </p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00352.html" title="Include <glm/gtx/quaternion.hpp> to use the features of this extension. ">GLM_GTX_quaternion</a> Rotates a 3 components vector by a quaternion.</dd>
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<dd>
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<a class="el" href="a00352.html" title="Include <glm/gtx/quaternion.hpp> to use the features of this extension. ">GLM_GTX_quaternion</a> </dd></dl>
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<p>Rotates a 4 components vector by a quaternion. </p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00352.html" title="Include <glm/gtx/quaternion.hpp> to use the features of this extension. ">GLM_GTX_quaternion</a> </dd></dl>
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<p>Compute the rotation between two vectors. </p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00352.html" title="Include <glm/gtx/quaternion.hpp> to use the features of this extension. ">GLM_GTX_quaternion</a> </dd></dl>
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<p>Quaternion interpolation using the rotation short path. </p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00352.html" title="Include <glm/gtx/quaternion.hpp> to use the features of this extension. ">GLM_GTX_quaternion</a> </dd></dl>
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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.</p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00352.html" title="Include <glm/gtx/quaternion.hpp> to use the features of this extension. ">GLM_GTX_quaternion</a> </dd></dl>
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<p>Converts a quaternion to a 3 * 3 matrix. </p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00352.html" title="Include <glm/gtx/quaternion.hpp> to use the features of this extension. ">GLM_GTX_quaternion</a> </dd></dl>
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<p>Definition at line <a class="el" href="a00126_source.html#l00113">113</a> of file <a class="el" href="a00126_source.html">gtx/quaternion.hpp</a>.</p>
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<p>References <a class="el" href="a00299.html#ga333ab70047fbe4132406100c292dbc89">glm::mat3_cast()</a>.</p>
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<p>Converts a quaternion to a 4 * 4 matrix. </p>
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<p>Definition at line <a class="el" href="a00126_source.html#l00120">120</a> of file <a class="el" href="a00126_source.html">gtx/quaternion.hpp</a>.</p>
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<p>References <a class="el" href="a00299.html#ga1113212d9bdefc2e31ad40e5bbb506f3">glm::mat4_cast()</a>.</p>
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<p>Converts a 3 * 3 matrix to a quaternion. </p>
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<p>Definition at line <a class="el" href="a00126_source.html#l00127">127</a> of file <a class="el" href="a00126_source.html">gtx/quaternion.hpp</a>.</p>
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<p>References <a class="el" href="a00299.html#ga1108a4ab88ca87bac321454eea7702f8">glm::quat_cast()</a>.</p>
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<td class="memname">GLM_FUNC_DECL qua<T, Q> glm::toQuat </td>
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<td>(</td>
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<td class="paramtype">mat< 4, 4, T, Q > 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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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00352.html" title="Include <glm/gtx/quaternion.hpp> to use the features of this extension. ">GLM_GTX_quaternion</a> </dd></dl>
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<p>Definition at line <a class="el" href="a00126_source.html#l00134">134</a> of file <a class="el" href="a00126_source.html">gtx/quaternion.hpp</a>.</p>
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<p>References <a class="el" href="a00299.html#ga1108a4ab88ca87bac321454eea7702f8">glm::quat_cast()</a>.</p>
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