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  76. <a href="#func-members">Functions</a> </div>
  77. <div class="headertitle">
  78. <div class="title">GLM_GTC_quaternion<div class="ingroups"><a class="el" href="a00156.html">GTC Extensions (Stable)</a></div></div> </div>
  79. </div><!--header-->
  80. <div class="contents">
  81. <p>Defines a templated quaternion type and several quaternion operations.
  82. <a href="#details">More...</a></p>
  83. <table class="memberdecls">
  84. <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
  85. Functions</h2></td></tr>
  86. <tr class="memitem:gad4a4448baedb198b2b1e7880d2544dc9"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  87. <tr class="memitem:gad4a4448baedb198b2b1e7880d2544dc9"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#gad4a4448baedb198b2b1e7880d2544dc9">angle</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
  88. <tr class="memdesc:gad4a4448baedb198b2b1e7880d2544dc9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the quaternion rotation angle. <a href="a00174.html#gad4a4448baedb198b2b1e7880d2544dc9">More...</a><br /></td></tr>
  89. <tr class="separator:gad4a4448baedb198b2b1e7880d2544dc9"><td class="memSeparator" colspan="2">&#160;</td></tr>
  90. <tr class="memitem:ga513e3fb694837e1f40352cb5873828f8"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  91. <tr class="memitem:ga513e3fb694837e1f40352cb5873828f8"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga513e3fb694837e1f40352cb5873828f8">angleAxis</a> (T const &amp;angle, vec&lt; 3, T, P &gt; const &amp;axis)</td></tr>
  92. <tr class="memdesc:ga513e3fb694837e1f40352cb5873828f8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Build a quaternion from an angle and a normalized axis. <a href="a00174.html#ga513e3fb694837e1f40352cb5873828f8">More...</a><br /></td></tr>
  93. <tr class="separator:ga513e3fb694837e1f40352cb5873828f8"><td class="memSeparator" colspan="2">&#160;</td></tr>
  94. <tr class="memitem:ga30f9cab44cd6038900b8e021e8f6b935"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  95. <tr class="memitem:ga30f9cab44cd6038900b8e021e8f6b935"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; 3, T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga30f9cab44cd6038900b8e021e8f6b935">axis</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
  96. <tr class="memdesc:ga30f9cab44cd6038900b8e021e8f6b935"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the q rotation axis. <a href="a00174.html#ga30f9cab44cd6038900b8e021e8f6b935">More...</a><br /></td></tr>
  97. <tr class="separator:ga30f9cab44cd6038900b8e021e8f6b935"><td class="memSeparator" colspan="2">&#160;</td></tr>
  98. <tr class="memitem:gab1ace864fbf189ffa368950001808a3c"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  99. <tr class="memitem:gab1ace864fbf189ffa368950001808a3c"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#gab1ace864fbf189ffa368950001808a3c">conjugate</a> (tquat&lt; T, P &gt; const &amp;q)</td></tr>
  100. <tr class="memdesc:gab1ace864fbf189ffa368950001808a3c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the q conjugate. <a href="a00174.html#gab1ace864fbf189ffa368950001808a3c">More...</a><br /></td></tr>
  101. <tr class="separator:gab1ace864fbf189ffa368950001808a3c"><td class="memSeparator" colspan="2">&#160;</td></tr>
  102. <tr class="memitem:ga19bac6fb47e7dbcda35534253b501955"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  103. <tr class="memitem:ga19bac6fb47e7dbcda35534253b501955"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga19bac6fb47e7dbcda35534253b501955">dot</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y)</td></tr>
  104. <tr class="memdesc:ga19bac6fb47e7dbcda35534253b501955"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns dot product of q1 and q2, i.e., q1[0] * q2[0] + q1[1] * q2[1] + ... <a href="a00174.html#ga19bac6fb47e7dbcda35534253b501955">More...</a><br /></td></tr>
  105. <tr class="separator:ga19bac6fb47e7dbcda35534253b501955"><td class="memSeparator" colspan="2">&#160;</td></tr>
  106. <tr class="memitem:gac1fcd8c68742992fd59310203423c023"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  107. <tr class="memitem:gac1fcd8c68742992fd59310203423c023"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; 4, bool, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#gac1fcd8c68742992fd59310203423c023">equal</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y)</td></tr>
  108. <tr class="memdesc:gac1fcd8c68742992fd59310203423c023"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the component-wise comparison of result x == y. <a href="a00174.html#gac1fcd8c68742992fd59310203423c023">More...</a><br /></td></tr>
  109. <tr class="separator:gac1fcd8c68742992fd59310203423c023"><td class="memSeparator" colspan="2">&#160;</td></tr>
  110. <tr class="memitem:gac4b0e197d14c7faec9d6640d0f8efc16"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  111. <tr class="memitem:gac4b0e197d14c7faec9d6640d0f8efc16"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; 3, T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#gac4b0e197d14c7faec9d6640d0f8efc16">eulerAngles</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
  112. <tr class="memdesc:gac4b0e197d14c7faec9d6640d0f8efc16"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns euler angles, pitch as x, yaw as y, roll as z. <a href="a00174.html#gac4b0e197d14c7faec9d6640d0f8efc16">More...</a><br /></td></tr>
  113. <tr class="separator:gac4b0e197d14c7faec9d6640d0f8efc16"><td class="memSeparator" colspan="2">&#160;</td></tr>
  114. <tr class="memitem:ga50a059de28c47e7dccb7019b4d37fb73"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  115. <tr class="memitem:ga50a059de28c47e7dccb7019b4d37fb73"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; 4, bool, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga50a059de28c47e7dccb7019b4d37fb73">greaterThan</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y)</td></tr>
  116. <tr class="memdesc:ga50a059de28c47e7dccb7019b4d37fb73"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the component-wise comparison of result x &gt; y. <a href="a00174.html#ga50a059de28c47e7dccb7019b4d37fb73">More...</a><br /></td></tr>
  117. <tr class="separator:ga50a059de28c47e7dccb7019b4d37fb73"><td class="memSeparator" colspan="2">&#160;</td></tr>
  118. <tr class="memitem:ga76fa0d99965764a16b8fe8d34f60cfa1"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  119. <tr class="memitem:ga76fa0d99965764a16b8fe8d34f60cfa1"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; 4, bool, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga76fa0d99965764a16b8fe8d34f60cfa1">greaterThanEqual</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y)</td></tr>
  120. <tr class="memdesc:ga76fa0d99965764a16b8fe8d34f60cfa1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the component-wise comparison of result x &gt;= y. <a href="a00174.html#ga76fa0d99965764a16b8fe8d34f60cfa1">More...</a><br /></td></tr>
  121. <tr class="separator:ga76fa0d99965764a16b8fe8d34f60cfa1"><td class="memSeparator" colspan="2">&#160;</td></tr>
  122. <tr class="memitem:ga5f47300c024c2d809944e6ac661d6d14"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  123. <tr class="memitem:ga5f47300c024c2d809944e6ac661d6d14"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga5f47300c024c2d809944e6ac661d6d14">inverse</a> (tquat&lt; T, P &gt; const &amp;q)</td></tr>
  124. <tr class="memdesc:ga5f47300c024c2d809944e6ac661d6d14"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the q inverse. <a href="a00174.html#ga5f47300c024c2d809944e6ac661d6d14">More...</a><br /></td></tr>
  125. <tr class="separator:ga5f47300c024c2d809944e6ac661d6d14"><td class="memSeparator" colspan="2">&#160;</td></tr>
  126. <tr class="memitem:ga88474bed7bdbedfe1b226a4c50ee39e5"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  127. <tr class="memitem:ga88474bed7bdbedfe1b226a4c50ee39e5"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; 4, bool, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga88474bed7bdbedfe1b226a4c50ee39e5">isinf</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
  128. <tr class="memdesc:ga88474bed7bdbedfe1b226a4c50ee39e5"><td class="mdescLeft">&#160;</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="a00174.html#ga88474bed7bdbedfe1b226a4c50ee39e5">More...</a><br /></td></tr>
  129. <tr class="separator:ga88474bed7bdbedfe1b226a4c50ee39e5"><td class="memSeparator" colspan="2">&#160;</td></tr>
  130. <tr class="memitem:ga299e93c52ef2509965f7999cd0196e7a"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  131. <tr class="memitem:ga299e93c52ef2509965f7999cd0196e7a"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; 4, bool, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga299e93c52ef2509965f7999cd0196e7a">isnan</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
  132. <tr class="memdesc:ga299e93c52ef2509965f7999cd0196e7a"><td class="mdescLeft">&#160;</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="a00174.html#ga299e93c52ef2509965f7999cd0196e7a">More...</a><br /></td></tr>
  133. <tr class="separator:ga299e93c52ef2509965f7999cd0196e7a"><td class="memSeparator" colspan="2">&#160;</td></tr>
  134. <tr class="memitem:gac682181783027544c8d251b4d3a60cf8"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  135. <tr class="memitem:gac682181783027544c8d251b4d3a60cf8"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#gac682181783027544c8d251b4d3a60cf8">length</a> (tquat&lt; T, P &gt; const &amp;q)</td></tr>
  136. <tr class="memdesc:gac682181783027544c8d251b4d3a60cf8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the length of the quaternion. <a href="a00174.html#gac682181783027544c8d251b4d3a60cf8">More...</a><br /></td></tr>
  137. <tr class="separator:gac682181783027544c8d251b4d3a60cf8"><td class="memSeparator" colspan="2">&#160;</td></tr>
  138. <tr class="memitem:ga5692804fa4db9e762a1c19b607e54435"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  139. <tr class="memitem:ga5692804fa4db9e762a1c19b607e54435"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga5692804fa4db9e762a1c19b607e54435">lerp</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y, T a)</td></tr>
  140. <tr class="memdesc:ga5692804fa4db9e762a1c19b607e54435"><td class="mdescLeft">&#160;</td><td class="mdescRight">Linear interpolation of two quaternions. <a href="a00174.html#ga5692804fa4db9e762a1c19b607e54435">More...</a><br /></td></tr>
  141. <tr class="separator:ga5692804fa4db9e762a1c19b607e54435"><td class="memSeparator" colspan="2">&#160;</td></tr>
  142. <tr class="memitem:ga2cdaac7278237a6ca46355abb7ef03ce"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  143. <tr class="memitem:ga2cdaac7278237a6ca46355abb7ef03ce"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; 4, bool, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga2cdaac7278237a6ca46355abb7ef03ce">lessThan</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y)</td></tr>
  144. <tr class="memdesc:ga2cdaac7278237a6ca46355abb7ef03ce"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the component-wise comparison result of x &lt; y. <a href="a00174.html#ga2cdaac7278237a6ca46355abb7ef03ce">More...</a><br /></td></tr>
  145. <tr class="separator:ga2cdaac7278237a6ca46355abb7ef03ce"><td class="memSeparator" colspan="2">&#160;</td></tr>
  146. <tr class="memitem:ga2cc86c3780498566589a5c915b660d49"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  147. <tr class="memitem:ga2cc86c3780498566589a5c915b660d49"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; 4, bool, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga2cc86c3780498566589a5c915b660d49">lessThanEqual</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y)</td></tr>
  148. <tr class="memdesc:ga2cc86c3780498566589a5c915b660d49"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the component-wise comparison of result x &lt;= y. <a href="a00174.html#ga2cc86c3780498566589a5c915b660d49">More...</a><br /></td></tr>
  149. <tr class="separator:ga2cc86c3780498566589a5c915b660d49"><td class="memSeparator" colspan="2">&#160;</td></tr>
  150. <tr class="memitem:ga903647421102a0ce39f06d10e4b14d3c"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  151. <tr class="memitem:ga903647421102a0ce39f06d10e4b14d3c"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL mat&lt; 3, 3, T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga903647421102a0ce39f06d10e4b14d3c">mat3_cast</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
  152. <tr class="memdesc:ga903647421102a0ce39f06d10e4b14d3c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts a quaternion to a 3 * 3 matrix. <a href="a00174.html#ga903647421102a0ce39f06d10e4b14d3c">More...</a><br /></td></tr>
  153. <tr class="separator:ga903647421102a0ce39f06d10e4b14d3c"><td class="memSeparator" colspan="2">&#160;</td></tr>
  154. <tr class="memitem:ga2aab716151de566a3f6ec3bad49f3964"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  155. <tr class="memitem:ga2aab716151de566a3f6ec3bad49f3964"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL mat&lt; 4, 4, T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga2aab716151de566a3f6ec3bad49f3964">mat4_cast</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
  156. <tr class="memdesc:ga2aab716151de566a3f6ec3bad49f3964"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts a quaternion to a 4 * 4 matrix. <a href="a00174.html#ga2aab716151de566a3f6ec3bad49f3964">More...</a><br /></td></tr>
  157. <tr class="separator:ga2aab716151de566a3f6ec3bad49f3964"><td class="memSeparator" colspan="2">&#160;</td></tr>
  158. <tr class="memitem:ga31cc82178742c36450f5662bd4fb30b0"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  159. <tr class="memitem:ga31cc82178742c36450f5662bd4fb30b0"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga31cc82178742c36450f5662bd4fb30b0">mix</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y, T a)</td></tr>
  160. <tr class="memdesc:ga31cc82178742c36450f5662bd4fb30b0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Spherical linear interpolation of two quaternions. <a href="a00174.html#ga31cc82178742c36450f5662bd4fb30b0">More...</a><br /></td></tr>
  161. <tr class="separator:ga31cc82178742c36450f5662bd4fb30b0"><td class="memSeparator" colspan="2">&#160;</td></tr>
  162. <tr class="memitem:ga35b6bcb22ac6d1e4a85440f5b69bdf86"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  163. <tr class="memitem:ga35b6bcb22ac6d1e4a85440f5b69bdf86"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga35b6bcb22ac6d1e4a85440f5b69bdf86">normalize</a> (tquat&lt; T, P &gt; const &amp;q)</td></tr>
  164. <tr class="memdesc:ga35b6bcb22ac6d1e4a85440f5b69bdf86"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the normalized quaternion. <a href="a00174.html#ga35b6bcb22ac6d1e4a85440f5b69bdf86">More...</a><br /></td></tr>
  165. <tr class="separator:ga35b6bcb22ac6d1e4a85440f5b69bdf86"><td class="memSeparator" colspan="2">&#160;</td></tr>
  166. <tr class="memitem:ga9bfd0663b62132254f9cb1c2672f5bbf"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  167. <tr class="memitem:ga9bfd0663b62132254f9cb1c2672f5bbf"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; 4, bool, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga9bfd0663b62132254f9cb1c2672f5bbf">notEqual</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y)</td></tr>
  168. <tr class="memdesc:ga9bfd0663b62132254f9cb1c2672f5bbf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the component-wise comparison of result x != y. <a href="a00174.html#ga9bfd0663b62132254f9cb1c2672f5bbf">More...</a><br /></td></tr>
  169. <tr class="separator:ga9bfd0663b62132254f9cb1c2672f5bbf"><td class="memSeparator" colspan="2">&#160;</td></tr>
  170. <tr class="memitem:ga2c08b93a4261c10748fd4d2104346f17"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  171. <tr class="memitem:ga2c08b93a4261c10748fd4d2104346f17"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga2c08b93a4261c10748fd4d2104346f17">pitch</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
  172. <tr class="memdesc:ga2c08b93a4261c10748fd4d2104346f17"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns pitch value of euler angles expressed in radians. <a href="a00174.html#ga2c08b93a4261c10748fd4d2104346f17">More...</a><br /></td></tr>
  173. <tr class="separator:ga2c08b93a4261c10748fd4d2104346f17"><td class="memSeparator" colspan="2">&#160;</td></tr>
  174. <tr class="memitem:ga61f11ea26c2e7f2bb5e8bd3019c3f739"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  175. <tr class="memitem:ga61f11ea26c2e7f2bb5e8bd3019c3f739"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga61f11ea26c2e7f2bb5e8bd3019c3f739">quat_cast</a> (mat&lt; 3, 3, T, P &gt; const &amp;x)</td></tr>
  176. <tr class="memdesc:ga61f11ea26c2e7f2bb5e8bd3019c3f739"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts a 3 * 3 matrix to a quaternion. <a href="a00174.html#ga61f11ea26c2e7f2bb5e8bd3019c3f739">More...</a><br /></td></tr>
  177. <tr class="separator:ga61f11ea26c2e7f2bb5e8bd3019c3f739"><td class="memSeparator" colspan="2">&#160;</td></tr>
  178. <tr class="memitem:gaca51f7c22c4a76b9d4104ad862da15ce"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  179. <tr class="memitem:gaca51f7c22c4a76b9d4104ad862da15ce"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#gaca51f7c22c4a76b9d4104ad862da15ce">quat_cast</a> (mat&lt; 4, 4, T, P &gt; const &amp;x)</td></tr>
  180. <tr class="memdesc:gaca51f7c22c4a76b9d4104ad862da15ce"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts a 4 * 4 matrix to a quaternion. <a href="a00174.html#gaca51f7c22c4a76b9d4104ad862da15ce">More...</a><br /></td></tr>
  181. <tr class="separator:gaca51f7c22c4a76b9d4104ad862da15ce"><td class="memSeparator" colspan="2">&#160;</td></tr>
  182. <tr class="memitem:ga4fd705376c6c1fd667be0055a0ea58ec"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  183. <tr class="memitem:ga4fd705376c6c1fd667be0055a0ea58ec"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga4fd705376c6c1fd667be0055a0ea58ec">roll</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
  184. <tr class="memdesc:ga4fd705376c6c1fd667be0055a0ea58ec"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns roll value of euler angles expressed in radians. <a href="a00174.html#ga4fd705376c6c1fd667be0055a0ea58ec">More...</a><br /></td></tr>
  185. <tr class="separator:ga4fd705376c6c1fd667be0055a0ea58ec"><td class="memSeparator" colspan="2">&#160;</td></tr>
  186. <tr class="memitem:ga6e6822072246ec0c805873a968b1a1e2"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  187. <tr class="memitem:ga6e6822072246ec0c805873a968b1a1e2"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga6e6822072246ec0c805873a968b1a1e2">rotate</a> (tquat&lt; T, P &gt; const &amp;q, T const &amp;angle, vec&lt; 3, T, P &gt; const &amp;axis)</td></tr>
  188. <tr class="memdesc:ga6e6822072246ec0c805873a968b1a1e2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Rotates a quaternion from a vector of 3 components axis and an angle. <a href="a00174.html#ga6e6822072246ec0c805873a968b1a1e2">More...</a><br /></td></tr>
  189. <tr class="separator:ga6e6822072246ec0c805873a968b1a1e2"><td class="memSeparator" colspan="2">&#160;</td></tr>
  190. <tr class="memitem:ga22b438c7252f3fa5b773c9882471652a"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  191. <tr class="memitem:ga22b438c7252f3fa5b773c9882471652a"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga22b438c7252f3fa5b773c9882471652a">slerp</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y, T a)</td></tr>
  192. <tr class="memdesc:ga22b438c7252f3fa5b773c9882471652a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Spherical linear interpolation of two quaternions. <a href="a00174.html#ga22b438c7252f3fa5b773c9882471652a">More...</a><br /></td></tr>
  193. <tr class="separator:ga22b438c7252f3fa5b773c9882471652a"><td class="memSeparator" colspan="2">&#160;</td></tr>
  194. <tr class="memitem:ga724a5df282b70cec0a6cb0d6dcddb6d6"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
  195. <tr class="memitem:ga724a5df282b70cec0a6cb0d6dcddb6d6"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga724a5df282b70cec0a6cb0d6dcddb6d6">yaw</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
  196. <tr class="memdesc:ga724a5df282b70cec0a6cb0d6dcddb6d6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns yaw value of euler angles expressed in radians. <a href="a00174.html#ga724a5df282b70cec0a6cb0d6dcddb6d6">More...</a><br /></td></tr>
  197. <tr class="separator:ga724a5df282b70cec0a6cb0d6dcddb6d6"><td class="memSeparator" colspan="2">&#160;</td></tr>
  198. </table>
  199. <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
  200. <p>Defines a templated quaternion type and several quaternion operations. </p>
  201. <p>&lt;<a class="el" href="a00091.html" title="GLM_GTC_quaternion ">glm/gtc/quaternion.hpp</a>&gt; need to be included to use these functionalities. </p>
  202. <h2 class="groupheader">Function Documentation</h2>
  203. <a class="anchor" id="gad4a4448baedb198b2b1e7880d2544dc9"></a>
  204. <div class="memitem">
  205. <div class="memproto">
  206. <table class="memname">
  207. <tr>
  208. <td class="memname">GLM_FUNC_DECL T glm::angle </td>
  209. <td>(</td>
  210. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  211. <td class="paramname"><em>x</em></td><td>)</td>
  212. <td></td>
  213. </tr>
  214. </table>
  215. </div><div class="memdoc">
  216. <p>Returns the quaternion rotation angle. </p>
  217. <dl class="tparams"><dt>Template Parameters</dt><dd>
  218. <table class="tparams">
  219. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  220. </table>
  221. </dd>
  222. </dl>
  223. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  224. </div>
  225. </div>
  226. <a class="anchor" id="ga513e3fb694837e1f40352cb5873828f8"></a>
  227. <div class="memitem">
  228. <div class="memproto">
  229. <table class="memname">
  230. <tr>
  231. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::angleAxis </td>
  232. <td>(</td>
  233. <td class="paramtype">T const &amp;&#160;</td>
  234. <td class="paramname"><em>angle</em>, </td>
  235. </tr>
  236. <tr>
  237. <td class="paramkey"></td>
  238. <td></td>
  239. <td class="paramtype">vec&lt; 3, T, P &gt; const &amp;&#160;</td>
  240. <td class="paramname"><em>axis</em>&#160;</td>
  241. </tr>
  242. <tr>
  243. <td></td>
  244. <td>)</td>
  245. <td></td><td></td>
  246. </tr>
  247. </table>
  248. </div><div class="memdoc">
  249. <p>Build a quaternion from an angle and a normalized axis. </p>
  250. <dl class="params"><dt>Parameters</dt><dd>
  251. <table class="params">
  252. <tr><td class="paramname">angle</td><td>Angle expressed in radians. </td></tr>
  253. <tr><td class="paramname">axis</td><td>Axis of the quaternion, must be normalized. </td></tr>
  254. </table>
  255. </dd>
  256. </dl>
  257. <dl class="tparams"><dt>Template Parameters</dt><dd>
  258. <table class="tparams">
  259. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  260. </table>
  261. </dd>
  262. </dl>
  263. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  264. </div>
  265. </div>
  266. <a class="anchor" id="ga30f9cab44cd6038900b8e021e8f6b935"></a>
  267. <div class="memitem">
  268. <div class="memproto">
  269. <table class="memname">
  270. <tr>
  271. <td class="memname">GLM_FUNC_DECL vec&lt;3, T, P&gt; glm::axis </td>
  272. <td>(</td>
  273. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  274. <td class="paramname"><em>x</em></td><td>)</td>
  275. <td></td>
  276. </tr>
  277. </table>
  278. </div><div class="memdoc">
  279. <p>Returns the q rotation axis. </p>
  280. <dl class="tparams"><dt>Template Parameters</dt><dd>
  281. <table class="tparams">
  282. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  283. </table>
  284. </dd>
  285. </dl>
  286. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  287. </div>
  288. </div>
  289. <a class="anchor" id="gab1ace864fbf189ffa368950001808a3c"></a>
  290. <div class="memitem">
  291. <div class="memproto">
  292. <table class="memname">
  293. <tr>
  294. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::conjugate </td>
  295. <td>(</td>
  296. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  297. <td class="paramname"><em>q</em></td><td>)</td>
  298. <td></td>
  299. </tr>
  300. </table>
  301. </div><div class="memdoc">
  302. <p>Returns the q conjugate. </p>
  303. <dl class="tparams"><dt>Template Parameters</dt><dd>
  304. <table class="tparams">
  305. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  306. </table>
  307. </dd>
  308. </dl>
  309. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  310. </div>
  311. </div>
  312. <a class="anchor" id="ga19bac6fb47e7dbcda35534253b501955"></a>
  313. <div class="memitem">
  314. <div class="memproto">
  315. <table class="memname">
  316. <tr>
  317. <td class="memname">GLM_FUNC_DECL T glm::dot </td>
  318. <td>(</td>
  319. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  320. <td class="paramname"><em>x</em>, </td>
  321. </tr>
  322. <tr>
  323. <td class="paramkey"></td>
  324. <td></td>
  325. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  326. <td class="paramname"><em>y</em>&#160;</td>
  327. </tr>
  328. <tr>
  329. <td></td>
  330. <td>)</td>
  331. <td></td><td></td>
  332. </tr>
  333. </table>
  334. </div><div class="memdoc">
  335. <p>Returns dot product of q1 and q2, i.e., q1[0] * q2[0] + q1[1] * q2[1] + ... </p>
  336. <dl class="tparams"><dt>Template Parameters</dt><dd>
  337. <table class="tparams">
  338. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  339. </table>
  340. </dd>
  341. </dl>
  342. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  343. </div>
  344. </div>
  345. <a class="anchor" id="gac1fcd8c68742992fd59310203423c023"></a>
  346. <div class="memitem">
  347. <div class="memproto">
  348. <table class="memname">
  349. <tr>
  350. <td class="memname">GLM_FUNC_DECL vec&lt;4, bool, P&gt; glm::equal </td>
  351. <td>(</td>
  352. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  353. <td class="paramname"><em>x</em>, </td>
  354. </tr>
  355. <tr>
  356. <td class="paramkey"></td>
  357. <td></td>
  358. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  359. <td class="paramname"><em>y</em>&#160;</td>
  360. </tr>
  361. <tr>
  362. <td></td>
  363. <td>)</td>
  364. <td></td><td></td>
  365. </tr>
  366. </table>
  367. </div><div class="memdoc">
  368. <p>Returns the component-wise comparison of result x == y. </p>
  369. <dl class="tparams"><dt>Template Parameters</dt><dd>
  370. <table class="tparams">
  371. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  372. </table>
  373. </dd>
  374. </dl>
  375. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  376. </div>
  377. </div>
  378. <a class="anchor" id="gac4b0e197d14c7faec9d6640d0f8efc16"></a>
  379. <div class="memitem">
  380. <div class="memproto">
  381. <table class="memname">
  382. <tr>
  383. <td class="memname">GLM_FUNC_DECL vec&lt;3, T, P&gt; glm::eulerAngles </td>
  384. <td>(</td>
  385. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  386. <td class="paramname"><em>x</em></td><td>)</td>
  387. <td></td>
  388. </tr>
  389. </table>
  390. </div><div class="memdoc">
  391. <p>Returns euler angles, pitch as x, yaw as y, roll as z. </p>
  392. <p>The result is expressed in radians.</p>
  393. <dl class="tparams"><dt>Template Parameters</dt><dd>
  394. <table class="tparams">
  395. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  396. </table>
  397. </dd>
  398. </dl>
  399. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  400. </div>
  401. </div>
  402. <a class="anchor" id="ga50a059de28c47e7dccb7019b4d37fb73"></a>
  403. <div class="memitem">
  404. <div class="memproto">
  405. <table class="memname">
  406. <tr>
  407. <td class="memname">GLM_FUNC_DECL vec&lt;4, bool, P&gt; glm::greaterThan </td>
  408. <td>(</td>
  409. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  410. <td class="paramname"><em>x</em>, </td>
  411. </tr>
  412. <tr>
  413. <td class="paramkey"></td>
  414. <td></td>
  415. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  416. <td class="paramname"><em>y</em>&#160;</td>
  417. </tr>
  418. <tr>
  419. <td></td>
  420. <td>)</td>
  421. <td></td><td></td>
  422. </tr>
  423. </table>
  424. </div><div class="memdoc">
  425. <p>Returns the component-wise comparison of result x &gt; y. </p>
  426. <dl class="tparams"><dt>Template Parameters</dt><dd>
  427. <table class="tparams">
  428. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  429. </table>
  430. </dd>
  431. </dl>
  432. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  433. </div>
  434. </div>
  435. <a class="anchor" id="ga76fa0d99965764a16b8fe8d34f60cfa1"></a>
  436. <div class="memitem">
  437. <div class="memproto">
  438. <table class="memname">
  439. <tr>
  440. <td class="memname">GLM_FUNC_DECL vec&lt;4, bool, P&gt; glm::greaterThanEqual </td>
  441. <td>(</td>
  442. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  443. <td class="paramname"><em>x</em>, </td>
  444. </tr>
  445. <tr>
  446. <td class="paramkey"></td>
  447. <td></td>
  448. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  449. <td class="paramname"><em>y</em>&#160;</td>
  450. </tr>
  451. <tr>
  452. <td></td>
  453. <td>)</td>
  454. <td></td><td></td>
  455. </tr>
  456. </table>
  457. </div><div class="memdoc">
  458. <p>Returns the component-wise comparison of result x &gt;= y. </p>
  459. <dl class="tparams"><dt>Template Parameters</dt><dd>
  460. <table class="tparams">
  461. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  462. </table>
  463. </dd>
  464. </dl>
  465. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  466. </div>
  467. </div>
  468. <a class="anchor" id="ga5f47300c024c2d809944e6ac661d6d14"></a>
  469. <div class="memitem">
  470. <div class="memproto">
  471. <table class="memname">
  472. <tr>
  473. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::inverse </td>
  474. <td>(</td>
  475. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  476. <td class="paramname"><em>q</em></td><td>)</td>
  477. <td></td>
  478. </tr>
  479. </table>
  480. </div><div class="memdoc">
  481. <p>Returns the q inverse. </p>
  482. <dl class="tparams"><dt>Template Parameters</dt><dd>
  483. <table class="tparams">
  484. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  485. </table>
  486. </dd>
  487. </dl>
  488. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  489. </div>
  490. </div>
  491. <a class="anchor" id="ga88474bed7bdbedfe1b226a4c50ee39e5"></a>
  492. <div class="memitem">
  493. <div class="memproto">
  494. <table class="memname">
  495. <tr>
  496. <td class="memname">GLM_FUNC_DECL vec&lt;4, bool, P&gt; glm::isinf </td>
  497. <td>(</td>
  498. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  499. <td class="paramname"><em>x</em></td><td>)</td>
  500. <td></td>
  501. </tr>
  502. </table>
  503. </div><div class="memdoc">
  504. <p>Returns true if x holds a positive infinity or negative infinity representation in the underlying implementation's set of floating point representations. </p>
  505. <p>Returns false otherwise, including for implementations with no infinity representations.</p>
  506. <dl class="tparams"><dt>Template Parameters</dt><dd>
  507. <table class="tparams">
  508. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  509. </table>
  510. </dd>
  511. </dl>
  512. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  513. </div>
  514. </div>
  515. <a class="anchor" id="ga299e93c52ef2509965f7999cd0196e7a"></a>
  516. <div class="memitem">
  517. <div class="memproto">
  518. <table class="memname">
  519. <tr>
  520. <td class="memname">GLM_FUNC_DECL vec&lt;4, bool, P&gt; glm::isnan </td>
  521. <td>(</td>
  522. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  523. <td class="paramname"><em>x</em></td><td>)</td>
  524. <td></td>
  525. </tr>
  526. </table>
  527. </div><div class="memdoc">
  528. <p>Returns true if x holds a NaN (not a number) representation in the underlying implementation's set of floating point representations. </p>
  529. <p>Returns false otherwise, including for implementations with no NaN representations.</p>
  530. <p>/!\ When using compiler fast math, this function may fail.</p>
  531. <dl class="tparams"><dt>Template Parameters</dt><dd>
  532. <table class="tparams">
  533. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  534. </table>
  535. </dd>
  536. </dl>
  537. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  538. </div>
  539. </div>
  540. <a class="anchor" id="gac682181783027544c8d251b4d3a60cf8"></a>
  541. <div class="memitem">
  542. <div class="memproto">
  543. <table class="memname">
  544. <tr>
  545. <td class="memname">GLM_FUNC_DECL T glm::length </td>
  546. <td>(</td>
  547. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  548. <td class="paramname"><em>q</em></td><td>)</td>
  549. <td></td>
  550. </tr>
  551. </table>
  552. </div><div class="memdoc">
  553. <p>Returns the length of the quaternion. </p>
  554. <dl class="tparams"><dt>Template Parameters</dt><dd>
  555. <table class="tparams">
  556. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  557. </table>
  558. </dd>
  559. </dl>
  560. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  561. </div>
  562. </div>
  563. <a class="anchor" id="ga5692804fa4db9e762a1c19b607e54435"></a>
  564. <div class="memitem">
  565. <div class="memproto">
  566. <table class="memname">
  567. <tr>
  568. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::lerp </td>
  569. <td>(</td>
  570. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  571. <td class="paramname"><em>x</em>, </td>
  572. </tr>
  573. <tr>
  574. <td class="paramkey"></td>
  575. <td></td>
  576. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  577. <td class="paramname"><em>y</em>, </td>
  578. </tr>
  579. <tr>
  580. <td class="paramkey"></td>
  581. <td></td>
  582. <td class="paramtype">T&#160;</td>
  583. <td class="paramname"><em>a</em>&#160;</td>
  584. </tr>
  585. <tr>
  586. <td></td>
  587. <td>)</td>
  588. <td></td><td></td>
  589. </tr>
  590. </table>
  591. </div><div class="memdoc">
  592. <p>Linear interpolation of two quaternions. </p>
  593. <p>The interpolation is oriented.</p>
  594. <dl class="params"><dt>Parameters</dt><dd>
  595. <table class="params">
  596. <tr><td class="paramname">x</td><td>A quaternion </td></tr>
  597. <tr><td class="paramname">y</td><td>A quaternion </td></tr>
  598. <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined in the range [0, 1]. </td></tr>
  599. </table>
  600. </dd>
  601. </dl>
  602. <dl class="tparams"><dt>Template Parameters</dt><dd>
  603. <table class="tparams">
  604. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  605. </table>
  606. </dd>
  607. </dl>
  608. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  609. </div>
  610. </div>
  611. <a class="anchor" id="ga2cdaac7278237a6ca46355abb7ef03ce"></a>
  612. <div class="memitem">
  613. <div class="memproto">
  614. <table class="memname">
  615. <tr>
  616. <td class="memname">GLM_FUNC_DECL vec&lt;4, bool, P&gt; glm::lessThan </td>
  617. <td>(</td>
  618. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  619. <td class="paramname"><em>x</em>, </td>
  620. </tr>
  621. <tr>
  622. <td class="paramkey"></td>
  623. <td></td>
  624. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  625. <td class="paramname"><em>y</em>&#160;</td>
  626. </tr>
  627. <tr>
  628. <td></td>
  629. <td>)</td>
  630. <td></td><td></td>
  631. </tr>
  632. </table>
  633. </div><div class="memdoc">
  634. <p>Returns the component-wise comparison result of x &lt; y. </p>
  635. <dl class="tparams"><dt>Template Parameters</dt><dd>
  636. <table class="tparams">
  637. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  638. </table>
  639. </dd>
  640. </dl>
  641. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  642. </div>
  643. </div>
  644. <a class="anchor" id="ga2cc86c3780498566589a5c915b660d49"></a>
  645. <div class="memitem">
  646. <div class="memproto">
  647. <table class="memname">
  648. <tr>
  649. <td class="memname">GLM_FUNC_DECL vec&lt;4, bool, P&gt; glm::lessThanEqual </td>
  650. <td>(</td>
  651. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  652. <td class="paramname"><em>x</em>, </td>
  653. </tr>
  654. <tr>
  655. <td class="paramkey"></td>
  656. <td></td>
  657. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  658. <td class="paramname"><em>y</em>&#160;</td>
  659. </tr>
  660. <tr>
  661. <td></td>
  662. <td>)</td>
  663. <td></td><td></td>
  664. </tr>
  665. </table>
  666. </div><div class="memdoc">
  667. <p>Returns the component-wise comparison of result x &lt;= y. </p>
  668. <dl class="tparams"><dt>Template Parameters</dt><dd>
  669. <table class="tparams">
  670. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  671. </table>
  672. </dd>
  673. </dl>
  674. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  675. </div>
  676. </div>
  677. <a class="anchor" id="ga903647421102a0ce39f06d10e4b14d3c"></a>
  678. <div class="memitem">
  679. <div class="memproto">
  680. <table class="memname">
  681. <tr>
  682. <td class="memname">GLM_FUNC_DECL mat&lt;3, 3, T, P&gt; glm::mat3_cast </td>
  683. <td>(</td>
  684. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  685. <td class="paramname"><em>x</em></td><td>)</td>
  686. <td></td>
  687. </tr>
  688. </table>
  689. </div><div class="memdoc">
  690. <p>Converts a quaternion to a 3 * 3 matrix. </p>
  691. <dl class="tparams"><dt>Template Parameters</dt><dd>
  692. <table class="tparams">
  693. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  694. </table>
  695. </dd>
  696. </dl>
  697. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  698. <p>Referenced by <a class="el" href="a00092_source.html#l00134">glm::toMat3()</a>.</p>
  699. </div>
  700. </div>
  701. <a class="anchor" id="ga2aab716151de566a3f6ec3bad49f3964"></a>
  702. <div class="memitem">
  703. <div class="memproto">
  704. <table class="memname">
  705. <tr>
  706. <td class="memname">GLM_FUNC_DECL mat&lt;4, 4, T, P&gt; glm::mat4_cast </td>
  707. <td>(</td>
  708. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  709. <td class="paramname"><em>x</em></td><td>)</td>
  710. <td></td>
  711. </tr>
  712. </table>
  713. </div><div class="memdoc">
  714. <p>Converts a quaternion to a 4 * 4 matrix. </p>
  715. <dl class="tparams"><dt>Template Parameters</dt><dd>
  716. <table class="tparams">
  717. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  718. </table>
  719. </dd>
  720. </dl>
  721. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  722. <p>Referenced by <a class="el" href="a00092_source.html#l00141">glm::toMat4()</a>.</p>
  723. </div>
  724. </div>
  725. <a class="anchor" id="ga31cc82178742c36450f5662bd4fb30b0"></a>
  726. <div class="memitem">
  727. <div class="memproto">
  728. <table class="memname">
  729. <tr>
  730. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::mix </td>
  731. <td>(</td>
  732. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  733. <td class="paramname"><em>x</em>, </td>
  734. </tr>
  735. <tr>
  736. <td class="paramkey"></td>
  737. <td></td>
  738. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  739. <td class="paramname"><em>y</em>, </td>
  740. </tr>
  741. <tr>
  742. <td class="paramkey"></td>
  743. <td></td>
  744. <td class="paramtype">T&#160;</td>
  745. <td class="paramname"><em>a</em>&#160;</td>
  746. </tr>
  747. <tr>
  748. <td></td>
  749. <td>)</td>
  750. <td></td><td></td>
  751. </tr>
  752. </table>
  753. </div><div class="memdoc">
  754. <p>Spherical linear interpolation of two quaternions. </p>
  755. <p>The interpolation is oriented and the rotation is performed at constant speed. For short path spherical linear interpolation, use the slerp function.</p>
  756. <dl class="params"><dt>Parameters</dt><dd>
  757. <table class="params">
  758. <tr><td class="paramname">x</td><td>A quaternion </td></tr>
  759. <tr><td class="paramname">y</td><td>A quaternion </td></tr>
  760. <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined beyond the range [0, 1]. </td></tr>
  761. </table>
  762. </dd>
  763. </dl>
  764. <dl class="tparams"><dt>Template Parameters</dt><dd>
  765. <table class="tparams">
  766. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  767. </table>
  768. </dd>
  769. </dl>
  770. <dl class="section see"><dt>See also</dt><dd>- slerp(tquat&lt;T, P&gt; const &amp; x, tquat&lt;T, P&gt; const &amp; y, T const &amp; a) </dd>
  771. <dd>
  772. <a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  773. </div>
  774. </div>
  775. <a class="anchor" id="ga35b6bcb22ac6d1e4a85440f5b69bdf86"></a>
  776. <div class="memitem">
  777. <div class="memproto">
  778. <table class="memname">
  779. <tr>
  780. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::normalize </td>
  781. <td>(</td>
  782. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  783. <td class="paramname"><em>q</em></td><td>)</td>
  784. <td></td>
  785. </tr>
  786. </table>
  787. </div><div class="memdoc">
  788. <p>Returns the normalized quaternion. </p>
  789. <dl class="tparams"><dt>Template Parameters</dt><dd>
  790. <table class="tparams">
  791. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  792. </table>
  793. </dd>
  794. </dl>
  795. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  796. </div>
  797. </div>
  798. <a class="anchor" id="ga9bfd0663b62132254f9cb1c2672f5bbf"></a>
  799. <div class="memitem">
  800. <div class="memproto">
  801. <table class="memname">
  802. <tr>
  803. <td class="memname">GLM_FUNC_DECL vec&lt;4, bool, P&gt; glm::notEqual </td>
  804. <td>(</td>
  805. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  806. <td class="paramname"><em>x</em>, </td>
  807. </tr>
  808. <tr>
  809. <td class="paramkey"></td>
  810. <td></td>
  811. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  812. <td class="paramname"><em>y</em>&#160;</td>
  813. </tr>
  814. <tr>
  815. <td></td>
  816. <td>)</td>
  817. <td></td><td></td>
  818. </tr>
  819. </table>
  820. </div><div class="memdoc">
  821. <p>Returns the component-wise comparison of result x != y. </p>
  822. <dl class="tparams"><dt>Template Parameters</dt><dd>
  823. <table class="tparams">
  824. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  825. </table>
  826. </dd>
  827. </dl>
  828. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  829. </div>
  830. </div>
  831. <a class="anchor" id="ga2c08b93a4261c10748fd4d2104346f17"></a>
  832. <div class="memitem">
  833. <div class="memproto">
  834. <table class="memname">
  835. <tr>
  836. <td class="memname">GLM_FUNC_DECL T glm::pitch </td>
  837. <td>(</td>
  838. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  839. <td class="paramname"><em>x</em></td><td>)</td>
  840. <td></td>
  841. </tr>
  842. </table>
  843. </div><div class="memdoc">
  844. <p>Returns pitch value of euler angles expressed in radians. </p>
  845. <dl class="tparams"><dt>Template Parameters</dt><dd>
  846. <table class="tparams">
  847. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  848. </table>
  849. </dd>
  850. </dl>
  851. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  852. </div>
  853. </div>
  854. <a class="anchor" id="ga61f11ea26c2e7f2bb5e8bd3019c3f739"></a>
  855. <div class="memitem">
  856. <div class="memproto">
  857. <table class="memname">
  858. <tr>
  859. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::quat_cast </td>
  860. <td>(</td>
  861. <td class="paramtype">mat&lt; 3, 3, T, P &gt; const &amp;&#160;</td>
  862. <td class="paramname"><em>x</em></td><td>)</td>
  863. <td></td>
  864. </tr>
  865. </table>
  866. </div><div class="memdoc">
  867. <p>Converts a 3 * 3 matrix to a quaternion. </p>
  868. <dl class="tparams"><dt>Template Parameters</dt><dd>
  869. <table class="tparams">
  870. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  871. </table>
  872. </dd>
  873. </dl>
  874. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  875. <p>Referenced by <a class="el" href="a00092_source.html#l00148">glm::toQuat()</a>.</p>
  876. </div>
  877. </div>
  878. <a class="anchor" id="gaca51f7c22c4a76b9d4104ad862da15ce"></a>
  879. <div class="memitem">
  880. <div class="memproto">
  881. <table class="memname">
  882. <tr>
  883. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::quat_cast </td>
  884. <td>(</td>
  885. <td class="paramtype">mat&lt; 4, 4, T, P &gt; const &amp;&#160;</td>
  886. <td class="paramname"><em>x</em></td><td>)</td>
  887. <td></td>
  888. </tr>
  889. </table>
  890. </div><div class="memdoc">
  891. <p>Converts a 4 * 4 matrix to a quaternion. </p>
  892. <dl class="tparams"><dt>Template Parameters</dt><dd>
  893. <table class="tparams">
  894. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  895. </table>
  896. </dd>
  897. </dl>
  898. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  899. </div>
  900. </div>
  901. <a class="anchor" id="ga4fd705376c6c1fd667be0055a0ea58ec"></a>
  902. <div class="memitem">
  903. <div class="memproto">
  904. <table class="memname">
  905. <tr>
  906. <td class="memname">GLM_FUNC_DECL T glm::roll </td>
  907. <td>(</td>
  908. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  909. <td class="paramname"><em>x</em></td><td>)</td>
  910. <td></td>
  911. </tr>
  912. </table>
  913. </div><div class="memdoc">
  914. <p>Returns roll value of euler angles expressed in radians. </p>
  915. <dl class="tparams"><dt>Template Parameters</dt><dd>
  916. <table class="tparams">
  917. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  918. </table>
  919. </dd>
  920. </dl>
  921. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  922. </div>
  923. </div>
  924. <a class="anchor" id="ga6e6822072246ec0c805873a968b1a1e2"></a>
  925. <div class="memitem">
  926. <div class="memproto">
  927. <table class="memname">
  928. <tr>
  929. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::rotate </td>
  930. <td>(</td>
  931. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  932. <td class="paramname"><em>q</em>, </td>
  933. </tr>
  934. <tr>
  935. <td class="paramkey"></td>
  936. <td></td>
  937. <td class="paramtype">T const &amp;&#160;</td>
  938. <td class="paramname"><em>angle</em>, </td>
  939. </tr>
  940. <tr>
  941. <td class="paramkey"></td>
  942. <td></td>
  943. <td class="paramtype">vec&lt; 3, T, P &gt; const &amp;&#160;</td>
  944. <td class="paramname"><em>axis</em>&#160;</td>
  945. </tr>
  946. <tr>
  947. <td></td>
  948. <td>)</td>
  949. <td></td><td></td>
  950. </tr>
  951. </table>
  952. </div><div class="memdoc">
  953. <p>Rotates a quaternion from a vector of 3 components axis and an angle. </p>
  954. <dl class="params"><dt>Parameters</dt><dd>
  955. <table class="params">
  956. <tr><td class="paramname">q</td><td>Source orientation </td></tr>
  957. <tr><td class="paramname">angle</td><td>Angle expressed in radians. </td></tr>
  958. <tr><td class="paramname">axis</td><td>Axis of the rotation </td></tr>
  959. </table>
  960. </dd>
  961. </dl>
  962. <dl class="tparams"><dt>Template Parameters</dt><dd>
  963. <table class="tparams">
  964. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  965. </table>
  966. </dd>
  967. </dl>
  968. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  969. </div>
  970. </div>
  971. <a class="anchor" id="ga22b438c7252f3fa5b773c9882471652a"></a>
  972. <div class="memitem">
  973. <div class="memproto">
  974. <table class="memname">
  975. <tr>
  976. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::slerp </td>
  977. <td>(</td>
  978. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  979. <td class="paramname"><em>x</em>, </td>
  980. </tr>
  981. <tr>
  982. <td class="paramkey"></td>
  983. <td></td>
  984. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  985. <td class="paramname"><em>y</em>, </td>
  986. </tr>
  987. <tr>
  988. <td class="paramkey"></td>
  989. <td></td>
  990. <td class="paramtype">T&#160;</td>
  991. <td class="paramname"><em>a</em>&#160;</td>
  992. </tr>
  993. <tr>
  994. <td></td>
  995. <td>)</td>
  996. <td></td><td></td>
  997. </tr>
  998. </table>
  999. </div><div class="memdoc">
  1000. <p>Spherical linear interpolation of two quaternions. </p>
  1001. <p>The interpolation always take the short path and the rotation is performed at constant speed.</p>
  1002. <dl class="params"><dt>Parameters</dt><dd>
  1003. <table class="params">
  1004. <tr><td class="paramname">x</td><td>A quaternion </td></tr>
  1005. <tr><td class="paramname">y</td><td>A quaternion </td></tr>
  1006. <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined beyond the range [0, 1]. </td></tr>
  1007. </table>
  1008. </dd>
  1009. </dl>
  1010. <dl class="tparams"><dt>Template Parameters</dt><dd>
  1011. <table class="tparams">
  1012. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  1013. </table>
  1014. </dd>
  1015. </dl>
  1016. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  1017. </div>
  1018. </div>
  1019. <a class="anchor" id="ga724a5df282b70cec0a6cb0d6dcddb6d6"></a>
  1020. <div class="memitem">
  1021. <div class="memproto">
  1022. <table class="memname">
  1023. <tr>
  1024. <td class="memname">GLM_FUNC_DECL T glm::yaw </td>
  1025. <td>(</td>
  1026. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  1027. <td class="paramname"><em>x</em></td><td>)</td>
  1028. <td></td>
  1029. </tr>
  1030. </table>
  1031. </div><div class="memdoc">
  1032. <p>Returns yaw value of euler angles expressed in radians. </p>
  1033. <dl class="tparams"><dt>Template Parameters</dt><dd>
  1034. <table class="tparams">
  1035. <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
  1036. </table>
  1037. </dd>
  1038. </dl>
  1039. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  1040. </div>
  1041. </div>
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