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1114 lines
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<div class="title">GLM_GTC_quaternion<div class="ingroups"><a class="el" href="a00147.html">Stable extensions</a></div></div> </div>
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<p>Include <<a class="el" href="a00083.html" title="GLM_GTC_quaternion ">glm/gtc/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:gaaee6c856cae3217d274a240238cb6373"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:gaaee6c856cae3217d274a240238cb6373"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#gaaee6c856cae3217d274a240238cb6373">angle</a> (tquat< T, Q > const &x)</td></tr>
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<tr class="memdesc:gaaee6c856cae3217d274a240238cb6373"><td class="mdescLeft"> </td><td class="mdescRight">Returns the quaternion rotation angle. <a href="a00160.html#gaaee6c856cae3217d274a240238cb6373">More...</a><br /></td></tr>
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<tr class="separator:gaaee6c856cae3217d274a240238cb6373"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga93856b8bfcdd5b9a164248df3149476c"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:ga93856b8bfcdd5b9a164248df3149476c"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat< T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#ga93856b8bfcdd5b9a164248df3149476c">angleAxis</a> (T const &angle, vec< 3, T, Q > const &axis)</td></tr>
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<tr class="memdesc:ga93856b8bfcdd5b9a164248df3149476c"><td class="mdescLeft"> </td><td class="mdescRight">Build a quaternion from an angle and a normalized axis. <a href="a00160.html#ga93856b8bfcdd5b9a164248df3149476c">More...</a><br /></td></tr>
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<tr class="separator:ga93856b8bfcdd5b9a164248df3149476c"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gaaf2707d3081789ce097daaa6e54d5287"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:gaaf2707d3081789ce097daaa6e54d5287"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec< 3, T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#gaaf2707d3081789ce097daaa6e54d5287">axis</a> (tquat< T, Q > const &x)</td></tr>
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<tr class="memdesc:gaaf2707d3081789ce097daaa6e54d5287"><td class="mdescLeft"> </td><td class="mdescRight">Returns the q rotation axis. <a href="a00160.html#gaaf2707d3081789ce097daaa6e54d5287">More...</a><br /></td></tr>
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<tr class="separator:gaaf2707d3081789ce097daaa6e54d5287"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gac40833db608deda477f018767b9a1cad"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:gac40833db608deda477f018767b9a1cad"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat< T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#gac40833db608deda477f018767b9a1cad">conjugate</a> (tquat< T, Q > const &q)</td></tr>
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<tr class="memdesc:gac40833db608deda477f018767b9a1cad"><td class="mdescLeft"> </td><td class="mdescRight">Returns the q conjugate. <a href="a00160.html#gac40833db608deda477f018767b9a1cad">More...</a><br /></td></tr>
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<tr class="separator:gac40833db608deda477f018767b9a1cad"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gab219911644fdc694e7d275cfcf35bfca"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:gab219911644fdc694e7d275cfcf35bfca"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#gab219911644fdc694e7d275cfcf35bfca">dot</a> (tquat< T, Q > const &x, tquat< T, Q > const &y)</td></tr>
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<tr class="memdesc:gab219911644fdc694e7d275cfcf35bfca"><td class="mdescLeft"> </td><td class="mdescRight">Returns dot product of q1 and q2, i.e., q1[0] * q2[0] + q1[1] * q2[1] + ... <a href="a00160.html#gab219911644fdc694e7d275cfcf35bfca">More...</a><br /></td></tr>
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<tr class="separator:gab219911644fdc694e7d275cfcf35bfca"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga22089a76bfb7b45b4c34961bb715e2df"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:ga22089a76bfb7b45b4c34961bb715e2df"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec< 4, bool, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#ga22089a76bfb7b45b4c34961bb715e2df">equal</a> (tquat< T, Q > const &x, tquat< T, Q > const &y)</td></tr>
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<tr class="memdesc:ga22089a76bfb7b45b4c34961bb715e2df"><td class="mdescLeft"> </td><td class="mdescRight">Returns the component-wise comparison of result x == y. <a href="a00160.html#ga22089a76bfb7b45b4c34961bb715e2df">More...</a><br /></td></tr>
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<tr class="separator:ga22089a76bfb7b45b4c34961bb715e2df"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gaf21424fa62e03de8b11c2b776c17d7a3"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:gaf21424fa62e03de8b11c2b776c17d7a3"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec< 3, T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#gaf21424fa62e03de8b11c2b776c17d7a3">eulerAngles</a> (tquat< T, Q > const &x)</td></tr>
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<tr class="memdesc:gaf21424fa62e03de8b11c2b776c17d7a3"><td class="mdescLeft"> </td><td class="mdescRight">Returns euler angles, pitch as x, yaw as y, roll as z. <a href="a00160.html#gaf21424fa62e03de8b11c2b776c17d7a3">More...</a><br /></td></tr>
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<tr class="separator:gaf21424fa62e03de8b11c2b776c17d7a3"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga3f2720e2d77ec39186415f85ecd9cad0"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:ga3f2720e2d77ec39186415f85ecd9cad0"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec< 4, bool, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#ga3f2720e2d77ec39186415f85ecd9cad0">greaterThan</a> (tquat< T, Q > const &x, tquat< T, Q > const &y)</td></tr>
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<tr class="memdesc:ga3f2720e2d77ec39186415f85ecd9cad0"><td class="mdescLeft"> </td><td class="mdescRight">Returns the component-wise comparison of result x > y. <a href="a00160.html#ga3f2720e2d77ec39186415f85ecd9cad0">More...</a><br /></td></tr>
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<tr class="separator:ga3f2720e2d77ec39186415f85ecd9cad0"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga293cb3175d9ad290deaf50984716fd44"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:ga293cb3175d9ad290deaf50984716fd44"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec< 4, bool, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#ga293cb3175d9ad290deaf50984716fd44">greaterThanEqual</a> (tquat< T, Q > const &x, tquat< T, Q > const &y)</td></tr>
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<tr class="memdesc:ga293cb3175d9ad290deaf50984716fd44"><td class="mdescLeft"> </td><td class="mdescRight">Returns the component-wise comparison of result x >= y. <a href="a00160.html#ga293cb3175d9ad290deaf50984716fd44">More...</a><br /></td></tr>
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<tr class="separator:ga293cb3175d9ad290deaf50984716fd44"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gadc59b59ce71daa5586a64a6acf36c072"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:gadc59b59ce71daa5586a64a6acf36c072"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat< T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#gadc59b59ce71daa5586a64a6acf36c072">inverse</a> (tquat< T, Q > const &q)</td></tr>
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<tr class="memdesc:gadc59b59ce71daa5586a64a6acf36c072"><td class="mdescLeft"> </td><td class="mdescRight">Returns the q inverse. <a href="a00160.html#gadc59b59ce71daa5586a64a6acf36c072">More...</a><br /></td></tr>
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<tr class="separator:gadc59b59ce71daa5586a64a6acf36c072"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga139abc0f7f89553e341f8be95bf8d3cb"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:ga139abc0f7f89553e341f8be95bf8d3cb"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec< 4, bool, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#ga139abc0f7f89553e341f8be95bf8d3cb">isinf</a> (tquat< T, Q > const &x)</td></tr>
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<tr class="memdesc:ga139abc0f7f89553e341f8be95bf8d3cb"><td class="mdescLeft"> </td><td class="mdescRight">Returns true if x holds a positive infinity or negative infinity representation in the underlying implementation's set of floating point representations. <a href="a00160.html#ga139abc0f7f89553e341f8be95bf8d3cb">More...</a><br /></td></tr>
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<tr class="separator:ga139abc0f7f89553e341f8be95bf8d3cb"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga31f4378ab97985177e208f4f4f8b1fd3"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:ga31f4378ab97985177e208f4f4f8b1fd3"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec< 4, bool, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#ga31f4378ab97985177e208f4f4f8b1fd3">isnan</a> (tquat< T, Q > const &x)</td></tr>
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<tr class="memdesc:ga31f4378ab97985177e208f4f4f8b1fd3"><td class="mdescLeft"> </td><td class="mdescRight">Returns true if x holds a NaN (not a number) representation in the underlying implementation's set of floating point representations. <a href="a00160.html#ga31f4378ab97985177e208f4f4f8b1fd3">More...</a><br /></td></tr>
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<tr class="separator:ga31f4378ab97985177e208f4f4f8b1fd3"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gab33f82f8d1c9223d335aab752a126855"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:gab33f82f8d1c9223d335aab752a126855"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#gab33f82f8d1c9223d335aab752a126855">length</a> (tquat< T, Q > const &q)</td></tr>
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<tr class="memdesc:gab33f82f8d1c9223d335aab752a126855"><td class="mdescLeft"> </td><td class="mdescRight">Returns the length of the quaternion. <a href="a00160.html#gab33f82f8d1c9223d335aab752a126855">More...</a><br /></td></tr>
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<tr class="separator:gab33f82f8d1c9223d335aab752a126855"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gabc58e7013ef63d6df69c28c14afd0c01"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:gabc58e7013ef63d6df69c28c14afd0c01"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat< T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#gabc58e7013ef63d6df69c28c14afd0c01">lerp</a> (tquat< T, Q > const &x, tquat< T, Q > const &y, T a)</td></tr>
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<tr class="memdesc:gabc58e7013ef63d6df69c28c14afd0c01"><td class="mdescLeft"> </td><td class="mdescRight">Linear interpolation of two quaternions. <a href="a00160.html#gabc58e7013ef63d6df69c28c14afd0c01">More...</a><br /></td></tr>
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<tr class="separator:gabc58e7013ef63d6df69c28c14afd0c01"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga627487c769e33f4b9f318f271b75802c"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:ga627487c769e33f4b9f318f271b75802c"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec< 4, bool, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#ga627487c769e33f4b9f318f271b75802c">lessThan</a> (tquat< T, Q > const &x, tquat< T, Q > const &y)</td></tr>
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<tr class="memdesc:ga627487c769e33f4b9f318f271b75802c"><td class="mdescLeft"> </td><td class="mdescRight">Returns the component-wise comparison result of x < y. <a href="a00160.html#ga627487c769e33f4b9f318f271b75802c">More...</a><br /></td></tr>
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<tr class="separator:ga627487c769e33f4b9f318f271b75802c"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga9e84617bb109bf2eb7f30d7f4ba07ad4"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:ga9e84617bb109bf2eb7f30d7f4ba07ad4"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec< 4, bool, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#ga9e84617bb109bf2eb7f30d7f4ba07ad4">lessThanEqual</a> (tquat< T, Q > const &x, tquat< T, Q > const &y)</td></tr>
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<tr class="memdesc:ga9e84617bb109bf2eb7f30d7f4ba07ad4"><td class="mdescLeft"> </td><td class="mdescRight">Returns the component-wise comparison of result x <= y. <a href="a00160.html#ga9e84617bb109bf2eb7f30d7f4ba07ad4">More...</a><br /></td></tr>
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<tr class="separator:ga9e84617bb109bf2eb7f30d7f4ba07ad4"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga6e88f15c94effe737c876d21ea0db101"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:ga6e88f15c94effe737c876d21ea0db101"><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="a00160.html#ga6e88f15c94effe737c876d21ea0db101">mat3_cast</a> (tquat< T, Q > const &x)</td></tr>
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<tr class="memdesc:ga6e88f15c94effe737c876d21ea0db101"><td class="mdescLeft"> </td><td class="mdescRight">Converts a quaternion to a 3 * 3 matrix. <a href="a00160.html#ga6e88f15c94effe737c876d21ea0db101">More...</a><br /></td></tr>
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<tr class="separator:ga6e88f15c94effe737c876d21ea0db101"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga8e2085f17cd5aae423c04536524f11b3"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:ga8e2085f17cd5aae423c04536524f11b3"><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="a00160.html#ga8e2085f17cd5aae423c04536524f11b3">mat4_cast</a> (tquat< T, Q > const &x)</td></tr>
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<tr class="memdesc:ga8e2085f17cd5aae423c04536524f11b3"><td class="mdescLeft"> </td><td class="mdescRight">Converts a quaternion to a 4 * 4 matrix. <a href="a00160.html#ga8e2085f17cd5aae423c04536524f11b3">More...</a><br /></td></tr>
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<tr class="memitem:ga6c31ccbb8548b2b24226901e602dfc0a"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat< T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#ga6c31ccbb8548b2b24226901e602dfc0a">mix</a> (tquat< T, Q > const &x, tquat< T, Q > const &y, T a)</td></tr>
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<tr class="memdesc:ga6c31ccbb8548b2b24226901e602dfc0a"><td class="mdescLeft"> </td><td class="mdescRight">Spherical linear interpolation of two quaternions. <a href="a00160.html#ga6c31ccbb8548b2b24226901e602dfc0a">More...</a><br /></td></tr>
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<tr class="memitem:gad4f3769e33c18d1897d1857c1f8da864"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat< T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#gad4f3769e33c18d1897d1857c1f8da864">normalize</a> (tquat< T, Q > const &q)</td></tr>
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<tr class="memdesc:gad4f3769e33c18d1897d1857c1f8da864"><td class="mdescLeft"> </td><td class="mdescRight">Returns the normalized quaternion. <a href="a00160.html#gad4f3769e33c18d1897d1857c1f8da864">More...</a><br /></td></tr>
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<tr class="memitem:ga9494ec3489041958a240963a8a0ac9a0"><td class="memTemplParams" colspan="2">template<typename T , qualifier Q> </td></tr>
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<tr class="memitem:ga9494ec3489041958a240963a8a0ac9a0"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec< 4, bool, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#ga9494ec3489041958a240963a8a0ac9a0">notEqual</a> (tquat< T, Q > const &x, tquat< T, Q > const &y)</td></tr>
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<tr class="memdesc:ga9494ec3489041958a240963a8a0ac9a0"><td class="mdescLeft"> </td><td class="mdescRight">Returns the component-wise comparison of result x != y. <a href="a00160.html#ga9494ec3489041958a240963a8a0ac9a0">More...</a><br /></td></tr>
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<tr class="memitem:ga9bd78e5fe153d07e39fb4c83e73dba73"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#ga9bd78e5fe153d07e39fb4c83e73dba73">pitch</a> (tquat< T, Q > const &x)</td></tr>
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<tr class="memdesc:ga9bd78e5fe153d07e39fb4c83e73dba73"><td class="mdescLeft"> </td><td class="mdescRight">Returns pitch value of euler angles expressed in radians. <a href="a00160.html#ga9bd78e5fe153d07e39fb4c83e73dba73">More...</a><br /></td></tr>
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<tr class="memitem:ga03e023aec9acd561a28594bbc8a3abf6"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat< T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#ga03e023aec9acd561a28594bbc8a3abf6">quat_cast</a> (mat< 3, 3, T, Q > const &x)</td></tr>
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<tr class="memdesc:ga03e023aec9acd561a28594bbc8a3abf6"><td class="mdescLeft"> </td><td class="mdescRight">Converts a 3 * 3 matrix to a quaternion. <a href="a00160.html#ga03e023aec9acd561a28594bbc8a3abf6">More...</a><br /></td></tr>
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<tr class="memitem:ga50bb9aecf42fdab04e16039ab6a81c60"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat< T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#ga50bb9aecf42fdab04e16039ab6a81c60">quat_cast</a> (mat< 4, 4, T, Q > const &x)</td></tr>
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<tr class="memdesc:ga50bb9aecf42fdab04e16039ab6a81c60"><td class="mdescLeft"> </td><td class="mdescRight">Converts a 4 * 4 matrix to a quaternion. <a href="a00160.html#ga50bb9aecf42fdab04e16039ab6a81c60">More...</a><br /></td></tr>
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<tr class="memitem:ga3ff93afbd9cc29f2ad217f2228e8a95b"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#ga3ff93afbd9cc29f2ad217f2228e8a95b">roll</a> (tquat< T, Q > const &x)</td></tr>
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<tr class="memdesc:ga3ff93afbd9cc29f2ad217f2228e8a95b"><td class="mdescLeft"> </td><td class="mdescRight">Returns roll value of euler angles expressed in radians. <a href="a00160.html#ga3ff93afbd9cc29f2ad217f2228e8a95b">More...</a><br /></td></tr>
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<tr class="memitem:ga21c6e3b6104c9b8116a35ddf2ac4d358"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat< T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#ga21c6e3b6104c9b8116a35ddf2ac4d358">rotate</a> (tquat< T, Q > const &q, T const &angle, vec< 3, T, Q > const &axis)</td></tr>
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<tr class="memdesc:ga21c6e3b6104c9b8116a35ddf2ac4d358"><td class="mdescLeft"> </td><td class="mdescRight">Rotates a quaternion from a vector of 3 components axis and an angle. <a href="a00160.html#ga21c6e3b6104c9b8116a35ddf2ac4d358">More...</a><br /></td></tr>
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<tr class="memitem:ga3796542dac06014d541d67ebd5f2a88a"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat< T, Q > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#ga3796542dac06014d541d67ebd5f2a88a">slerp</a> (tquat< T, Q > const &x, tquat< T, Q > const &y, T a)</td></tr>
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<tr class="memdesc:ga3796542dac06014d541d67ebd5f2a88a"><td class="mdescLeft"> </td><td class="mdescRight">Spherical linear interpolation of two quaternions. <a href="a00160.html#ga3796542dac06014d541d67ebd5f2a88a">More...</a><br /></td></tr>
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<tr class="memitem:ga53feffeb4001b99e36e216522e465e9e"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00160.html#ga53feffeb4001b99e36e216522e465e9e">yaw</a> (tquat< T, Q > const &x)</td></tr>
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<tr class="memdesc:ga53feffeb4001b99e36e216522e465e9e"><td class="mdescLeft"> </td><td class="mdescRight">Returns yaw value of euler angles expressed in radians. <a href="a00160.html#ga53feffeb4001b99e36e216522e465e9e">More...</a><br /></td></tr>
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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="a00083.html" title="GLM_GTC_quaternion ">glm/gtc/quaternion.hpp</a>> to use the features of this extension. </p>
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<p>Defines a templated quaternion type and several quaternion operations. </p>
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<h2 class="groupheader">Function Documentation</h2>
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<td class="memname">GLM_FUNC_DECL T glm::angle </td>
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<td>(</td>
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<td class="paramtype">tquat< T, Q > const & </td>
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<td class="paramname"><em>x</em></td><td>)</td>
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<p>Returns the quaternion rotation angle. </p>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL tquat<T, Q> glm::angleAxis </td>
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<td>(</td>
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<td class="paramtype">T const & </td>
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<td class="paramname"><em>angle</em>, </td>
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<td class="paramtype">vec< 3, T, Q > const & </td>
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<p>Build a quaternion from an angle and a normalized axis. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">angle</td><td>Angle expressed in radians. </td></tr>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL vec<3, T, Q> glm::axis </td>
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<td>(</td>
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<p>Returns the q rotation axis. </p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL tquat<T, Q> glm::conjugate </td>
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<td>(</td>
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<p>Returns the q conjugate. </p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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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="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<p>Returns the component-wise comparison of result x == y. </p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<p>Returns euler angles, pitch as x, yaw as y, roll as z. </p>
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<p>The result is expressed in radians.</p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL vec<4, bool, Q> glm::greaterThan </td>
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<p>Returns the component-wise comparison of result x > y. </p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL vec<4, bool, Q> glm::greaterThanEqual </td>
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<p>Returns the component-wise comparison of result x >= y. </p>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL tquat<T, Q> glm::inverse </td>
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<td>(</td>
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<td class="paramtype">tquat< T, Q > const & </td>
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<p>Returns the q inverse. </p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL vec<4, bool, Q> glm::isinf </td>
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<p>Returns true if x holds a positive infinity or negative infinity representation in the underlying implementation's set of floating point representations. </p>
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<p>Returns false otherwise, including for implementations with no infinity representations.</p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL vec<4, bool, Q> glm::isnan </td>
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<td>(</td>
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<td class="paramtype">tquat< T, Q > const & </td>
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<p>Returns true if x holds a NaN (not a number) representation in the underlying implementation's set of floating point representations. </p>
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<p>Returns false otherwise, including for implementations with no NaN representations.</p>
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<p>/!\ When using compiler fast math, this function may fail.</p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL T glm::length </td>
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<td class="paramtype">tquat< T, Q > const & </td>
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<p>Returns the length of the quaternion. </p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL tquat<T, Q> glm::lerp </td>
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<td>(</td>
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<td class="paramtype">tquat< T, Q > const & </td>
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<p>Linear interpolation of two quaternions. </p>
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<p>The interpolation is oriented.</p>
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<table class="params">
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL vec<4, bool, Q> glm::lessThan </td>
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<td>(</td>
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<td class="paramtype">tquat< T, Q > const & </td>
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<p>Returns the component-wise comparison result of x < y. </p>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL vec<4, bool, Q> glm::lessThanEqual </td>
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<td>(</td>
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<td class="paramtype">tquat< T, Q > const & </td>
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<p>Returns the component-wise comparison of result x <= y. </p>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL mat<3, 3, T, Q> glm::mat3_cast </td>
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<td>(</td>
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<td class="paramtype">tquat< T, Q > const & </td>
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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="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<p>Referenced by <a class="el" href="a00084_source.html#l00134">glm::toMat3()</a>.</p>
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<td>(</td>
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<td class="paramtype">tquat< T, Q > const & </td>
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<p>Converts a quaternion to a 4 * 4 matrix. </p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<p>Referenced by <a class="el" href="a00084_source.html#l00141">glm::toMat4()</a>.</p>
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<td>(</td>
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<td class="paramtype">tquat< T, Q > const & </td>
|
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<p>Spherical linear interpolation of two quaternions. </p>
|
|
<p>The interpolation is oriented and the rotation is performed at constant speed. For short path spherical linear interpolation, use the slerp function.</p>
|
|
<dl class="params"><dt>Parameters</dt><dd>
|
|
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|
|
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|
|
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|
|
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|
|
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|
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|
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|
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<dl class="section see"><dt>See also</dt><dd>- slerp(tquat<T, Q> const& x, tquat<T, Q> const& y, T const& a) </dd>
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|
<dd>
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|
<a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL tquat<T, Q> glm::normalize </td>
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<td>(</td>
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<td class="paramtype">tquat< T, Q > const & </td>
|
|
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<p>Returns the normalized quaternion. </p>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
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</dd>
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</dl>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL vec<4, bool, Q> glm::notEqual </td>
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<td>(</td>
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<td class="paramtype">tquat< T, Q > const & </td>
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<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">tquat< T, Q > const & </td>
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<td class="paramname"><em>y</em> </td>
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<td></td>
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<td>)</td>
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<p>Returns the component-wise comparison of result x != y. </p>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL T glm::pitch </td>
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<td>(</td>
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<td class="paramtype">tquat< T, Q > const & </td>
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<td class="paramname"><em>x</em></td><td>)</td>
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<p>Returns pitch value of euler angles expressed in radians. </p>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<a class="anchor" id="ga03e023aec9acd561a28594bbc8a3abf6"></a>
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<td class="memname">GLM_FUNC_DECL tquat<T, Q> glm::quat_cast </td>
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<td>(</td>
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<td class="paramtype">mat< 3, 3, T, Q > const & </td>
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<td class="paramname"><em>x</em></td><td>)</td>
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<p>Converts a 3 * 3 matrix to a quaternion. </p>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<p>Referenced by <a class="el" href="a00084_source.html#l00148">glm::toQuat()</a>.</p>
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<td class="memname">GLM_FUNC_DECL tquat<T, Q> glm::quat_cast </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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<td></td>
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<p>Converts a 4 * 4 matrix to a quaternion. </p>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL T glm::roll </td>
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<td>(</td>
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<td class="paramtype">tquat< T, Q > const & </td>
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<td class="paramname"><em>x</em></td><td>)</td>
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<p>Returns roll value of euler angles expressed in radians. </p>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL tquat<T, Q> glm::rotate </td>
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<td>(</td>
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<td class="paramtype">tquat< T, Q > const & </td>
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<td class="paramname"><em>q</em>, </td>
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</tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">T const & </td>
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<td class="paramname"><em>angle</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">vec< 3, T, Q > const & </td>
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<td class="paramname"><em>axis</em> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<p>Rotates a quaternion from a vector of 3 components axis and an angle. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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|
<table class="params">
|
|
<tr><td class="paramname">q</td><td>Source orientation </td></tr>
|
|
<tr><td class="paramname">angle</td><td>Angle expressed in radians. </td></tr>
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<tr><td class="paramname">axis</td><td>Axis of the rotation </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
|
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<table class="tparams">
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<tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL tquat<T, Q> glm::slerp </td>
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<td>(</td>
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<td class="paramtype">tquat< T, Q > const & </td>
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<td class="paramname"><em>x</em>, </td>
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</tr>
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<tr>
|
|
<td class="paramkey"></td>
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|
<td></td>
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|
<td class="paramtype">tquat< T, Q > const & </td>
|
|
<td class="paramname"><em>y</em>, </td>
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</tr>
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<tr>
|
|
<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">T </td>
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<td class="paramname"><em>a</em> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</div><div class="memdoc">
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<p>Spherical linear interpolation of two quaternions. </p>
|
|
<p>The interpolation always take the short path and the rotation is performed at constant speed.</p>
|
|
<dl class="params"><dt>Parameters</dt><dd>
|
|
<table class="params">
|
|
<tr><td class="paramname">x</td><td>A quaternion </td></tr>
|
|
<tr><td class="paramname">y</td><td>A quaternion </td></tr>
|
|
<tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined beyond the range [0, 1]. </td></tr>
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</table>
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</dd>
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|
</dl>
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|
<dl class="tparams"><dt>Template Parameters</dt><dd>
|
|
<table class="tparams">
|
|
<tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
|
|
</table>
|
|
</dd>
|
|
</dl>
|
|
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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<a class="anchor" id="ga53feffeb4001b99e36e216522e465e9e"></a>
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<td class="memname">GLM_FUNC_DECL T glm::yaw </td>
|
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<td>(</td>
|
|
<td class="paramtype">tquat< T, Q > const & </td>
|
|
<td class="paramname"><em>x</em></td><td>)</td>
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<td></td>
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</table>
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</div><div class="memdoc">
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<p>Returns yaw value of euler angles expressed in radians. </p>
|
|
<dl class="tparams"><dt>Template Parameters</dt><dd>
|
|
<table class="tparams">
|
|
<tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
|
|
</table>
|
|
</dd>
|
|
</dl>
|
|
<dl class="section see"><dt>See also</dt><dd><a class="el" href="a00160.html" title="Include <glm/gtc/quaternion.hpp> to use the features of this extension. ">GLM_GTC_quaternion</a> </dd></dl>
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</div>
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</div>
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