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  77. <a href="#func-members">Functions</a> </div>
  78. <div class="headertitle">
  79. <div class="title">GLM_GTC_quaternion<div class="ingroups"><a class="el" href="a00153.html">GTC Extensions (Stable)</a></div></div> </div>
  80. </div><!--header-->
  81. <div class="contents">
  82. <p>Defines a templated quaternion type and several quaternion operations.
  83. <a href="#details">More...</a></p>
  84. <table class="memberdecls">
  85. <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
  86. Functions</h2></td></tr>
  87. <tr class="memitem:gad4a4448baedb198b2b1e7880d2544dc9"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  88. <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="a00172.html#gad4a4448baedb198b2b1e7880d2544dc9">angle</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
  89. <tr class="memdesc:gad4a4448baedb198b2b1e7880d2544dc9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the quaternion rotation angle. <a href="a00172.html#gad4a4448baedb198b2b1e7880d2544dc9">More...</a><br /></td></tr>
  90. <tr class="separator:gad4a4448baedb198b2b1e7880d2544dc9"><td class="memSeparator" colspan="2">&#160;</td></tr>
  91. <tr class="memitem:ga37ae19405f1ccf766f27e4fcd035d859"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  92. <tr class="memitem:ga37ae19405f1ccf766f27e4fcd035d859"><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="a00172.html#ga37ae19405f1ccf766f27e4fcd035d859">angleAxis</a> (T const &amp;angle, tvec3&lt; T, P &gt; const &amp;axis)</td></tr>
  93. <tr class="memdesc:ga37ae19405f1ccf766f27e4fcd035d859"><td class="mdescLeft">&#160;</td><td class="mdescRight">Build a quaternion from an angle and a normalized axis. <a href="a00172.html#ga37ae19405f1ccf766f27e4fcd035d859">More...</a><br /></td></tr>
  94. <tr class="separator:ga37ae19405f1ccf766f27e4fcd035d859"><td class="memSeparator" colspan="2">&#160;</td></tr>
  95. <tr class="memitem:ga0b3e87a13b2708154b72259e50789a19"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  96. <tr class="memitem:ga0b3e87a13b2708154b72259e50789a19"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tvec3&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga0b3e87a13b2708154b72259e50789a19">axis</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
  97. <tr class="memdesc:ga0b3e87a13b2708154b72259e50789a19"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the q rotation axis. <a href="a00172.html#ga0b3e87a13b2708154b72259e50789a19">More...</a><br /></td></tr>
  98. <tr class="separator:ga0b3e87a13b2708154b72259e50789a19"><td class="memSeparator" colspan="2">&#160;</td></tr>
  99. <tr class="memitem:gab1ace864fbf189ffa368950001808a3c"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  100. <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="a00172.html#gab1ace864fbf189ffa368950001808a3c">conjugate</a> (tquat&lt; T, P &gt; const &amp;q)</td></tr>
  101. <tr class="memdesc:gab1ace864fbf189ffa368950001808a3c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the q conjugate. <a href="a00172.html#gab1ace864fbf189ffa368950001808a3c">More...</a><br /></td></tr>
  102. <tr class="separator:gab1ace864fbf189ffa368950001808a3c"><td class="memSeparator" colspan="2">&#160;</td></tr>
  103. <tr class="memitem:gac54dfc83de465a2d03e90d342242ab3d"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class quatType&gt; </td></tr>
  104. <tr class="memitem:gac54dfc83de465a2d03e90d342242ab3d"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#gac54dfc83de465a2d03e90d342242ab3d">dot</a> (quatType&lt; T, P &gt; const &amp;x, quatType&lt; T, P &gt; const &amp;y)</td></tr>
  105. <tr class="memdesc:gac54dfc83de465a2d03e90d342242ab3d"><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="a00172.html#gac54dfc83de465a2d03e90d342242ab3d">More...</a><br /></td></tr>
  106. <tr class="separator:gac54dfc83de465a2d03e90d342242ab3d"><td class="memSeparator" colspan="2">&#160;</td></tr>
  107. <tr class="memitem:gac187115710365e0b2902220b9611e7b6"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  108. <tr class="memitem:gac187115710365e0b2902220b9611e7b6"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tvec4&lt; bool, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#gac187115710365e0b2902220b9611e7b6">equal</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y)</td></tr>
  109. <tr class="memdesc:gac187115710365e0b2902220b9611e7b6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the component-wise comparison of result x == y. <a href="a00172.html#gac187115710365e0b2902220b9611e7b6">More...</a><br /></td></tr>
  110. <tr class="separator:gac187115710365e0b2902220b9611e7b6"><td class="memSeparator" colspan="2">&#160;</td></tr>
  111. <tr class="memitem:gadb92ec1c1b0dd6b024176a73fbef3e64"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  112. <tr class="memitem:gadb92ec1c1b0dd6b024176a73fbef3e64"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tvec3&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#gadb92ec1c1b0dd6b024176a73fbef3e64">eulerAngles</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
  113. <tr class="memdesc:gadb92ec1c1b0dd6b024176a73fbef3e64"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns euler angles, pitch as x, yaw as y, roll as z. <a href="a00172.html#gadb92ec1c1b0dd6b024176a73fbef3e64">More...</a><br /></td></tr>
  114. <tr class="separator:gadb92ec1c1b0dd6b024176a73fbef3e64"><td class="memSeparator" colspan="2">&#160;</td></tr>
  115. <tr class="memitem:ga09d21a588ae425ac7517ea65cc59a5ae"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  116. <tr class="memitem:ga09d21a588ae425ac7517ea65cc59a5ae"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tvec4&lt; bool, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga09d21a588ae425ac7517ea65cc59a5ae">greaterThan</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y)</td></tr>
  117. <tr class="memdesc:ga09d21a588ae425ac7517ea65cc59a5ae"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the component-wise comparison of result x &gt; y. <a href="a00172.html#ga09d21a588ae425ac7517ea65cc59a5ae">More...</a><br /></td></tr>
  118. <tr class="separator:ga09d21a588ae425ac7517ea65cc59a5ae"><td class="memSeparator" colspan="2">&#160;</td></tr>
  119. <tr class="memitem:ga0906a221a2037519fcf316ea5c1e3b3e"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  120. <tr class="memitem:ga0906a221a2037519fcf316ea5c1e3b3e"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tvec4&lt; bool, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga0906a221a2037519fcf316ea5c1e3b3e">greaterThanEqual</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y)</td></tr>
  121. <tr class="memdesc:ga0906a221a2037519fcf316ea5c1e3b3e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the component-wise comparison of result x &gt;= y. <a href="a00172.html#ga0906a221a2037519fcf316ea5c1e3b3e">More...</a><br /></td></tr>
  122. <tr class="separator:ga0906a221a2037519fcf316ea5c1e3b3e"><td class="memSeparator" colspan="2">&#160;</td></tr>
  123. <tr class="memitem:ga5f47300c024c2d809944e6ac661d6d14"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  124. <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="a00172.html#ga5f47300c024c2d809944e6ac661d6d14">inverse</a> (tquat&lt; T, P &gt; const &amp;q)</td></tr>
  125. <tr class="memdesc:ga5f47300c024c2d809944e6ac661d6d14"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the q inverse. <a href="a00172.html#ga5f47300c024c2d809944e6ac661d6d14">More...</a><br /></td></tr>
  126. <tr class="separator:ga5f47300c024c2d809944e6ac661d6d14"><td class="memSeparator" colspan="2">&#160;</td></tr>
  127. <tr class="memitem:ga0a850f06736d25887536d0da88e63c70"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  128. <tr class="memitem:ga0a850f06736d25887536d0da88e63c70"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tvec4&lt; bool, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga0a850f06736d25887536d0da88e63c70">isinf</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
  129. <tr class="memdesc:ga0a850f06736d25887536d0da88e63c70"><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="a00172.html#ga0a850f06736d25887536d0da88e63c70">More...</a><br /></td></tr>
  130. <tr class="separator:ga0a850f06736d25887536d0da88e63c70"><td class="memSeparator" colspan="2">&#160;</td></tr>
  131. <tr class="memitem:gad2fc52dd4ba5ff79cc56b3e0f9c092ed"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  132. <tr class="memitem:gad2fc52dd4ba5ff79cc56b3e0f9c092ed"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tvec4&lt; bool, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#gad2fc52dd4ba5ff79cc56b3e0f9c092ed">isnan</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
  133. <tr class="memdesc:gad2fc52dd4ba5ff79cc56b3e0f9c092ed"><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="a00172.html#gad2fc52dd4ba5ff79cc56b3e0f9c092ed">More...</a><br /></td></tr>
  134. <tr class="separator:gad2fc52dd4ba5ff79cc56b3e0f9c092ed"><td class="memSeparator" colspan="2">&#160;</td></tr>
  135. <tr class="memitem:gac682181783027544c8d251b4d3a60cf8"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  136. <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="a00172.html#gac682181783027544c8d251b4d3a60cf8">length</a> (tquat&lt; T, P &gt; const &amp;q)</td></tr>
  137. <tr class="memdesc:gac682181783027544c8d251b4d3a60cf8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the length of the quaternion. <a href="a00172.html#gac682181783027544c8d251b4d3a60cf8">More...</a><br /></td></tr>
  138. <tr class="separator:gac682181783027544c8d251b4d3a60cf8"><td class="memSeparator" colspan="2">&#160;</td></tr>
  139. <tr class="memitem:ga5692804fa4db9e762a1c19b607e54435"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  140. <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="a00172.html#ga5692804fa4db9e762a1c19b607e54435">lerp</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y, T a)</td></tr>
  141. <tr class="memdesc:ga5692804fa4db9e762a1c19b607e54435"><td class="mdescLeft">&#160;</td><td class="mdescRight">Linear interpolation of two quaternions. <a href="a00172.html#ga5692804fa4db9e762a1c19b607e54435">More...</a><br /></td></tr>
  142. <tr class="separator:ga5692804fa4db9e762a1c19b607e54435"><td class="memSeparator" colspan="2">&#160;</td></tr>
  143. <tr class="memitem:ga91a40d16a3b5bb47d71ac1a3fb688ffa"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  144. <tr class="memitem:ga91a40d16a3b5bb47d71ac1a3fb688ffa"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tvec4&lt; bool, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga91a40d16a3b5bb47d71ac1a3fb688ffa">lessThan</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y)</td></tr>
  145. <tr class="memdesc:ga91a40d16a3b5bb47d71ac1a3fb688ffa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the component-wise comparison result of x &lt; y. <a href="a00172.html#ga91a40d16a3b5bb47d71ac1a3fb688ffa">More...</a><br /></td></tr>
  146. <tr class="separator:ga91a40d16a3b5bb47d71ac1a3fb688ffa"><td class="memSeparator" colspan="2">&#160;</td></tr>
  147. <tr class="memitem:ga7c81996ed2724f26fe76faf352c76294"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  148. <tr class="memitem:ga7c81996ed2724f26fe76faf352c76294"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tvec4&lt; bool, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga7c81996ed2724f26fe76faf352c76294">lessThanEqual</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y)</td></tr>
  149. <tr class="memdesc:ga7c81996ed2724f26fe76faf352c76294"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the component-wise comparison of result x &lt;= y. <a href="a00172.html#ga7c81996ed2724f26fe76faf352c76294">More...</a><br /></td></tr>
  150. <tr class="separator:ga7c81996ed2724f26fe76faf352c76294"><td class="memSeparator" colspan="2">&#160;</td></tr>
  151. <tr class="memitem:gae04c39422eb4e450ec8c4f45a1057b40"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  152. <tr class="memitem:gae04c39422eb4e450ec8c4f45a1057b40"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tmat3x3&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#gae04c39422eb4e450ec8c4f45a1057b40">mat3_cast</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
  153. <tr class="memdesc:gae04c39422eb4e450ec8c4f45a1057b40"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts a quaternion to a 3 * 3 matrix. <a href="a00172.html#gae04c39422eb4e450ec8c4f45a1057b40">More...</a><br /></td></tr>
  154. <tr class="separator:gae04c39422eb4e450ec8c4f45a1057b40"><td class="memSeparator" colspan="2">&#160;</td></tr>
  155. <tr class="memitem:ga14bb2ddf028c91542763eb6f2bba47ef"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  156. <tr class="memitem:ga14bb2ddf028c91542763eb6f2bba47ef"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tmat4x4&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga14bb2ddf028c91542763eb6f2bba47ef">mat4_cast</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
  157. <tr class="memdesc:ga14bb2ddf028c91542763eb6f2bba47ef"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts a quaternion to a 4 * 4 matrix. <a href="a00172.html#ga14bb2ddf028c91542763eb6f2bba47ef">More...</a><br /></td></tr>
  158. <tr class="separator:ga14bb2ddf028c91542763eb6f2bba47ef"><td class="memSeparator" colspan="2">&#160;</td></tr>
  159. <tr class="memitem:ga31cc82178742c36450f5662bd4fb30b0"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  160. <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="a00172.html#ga31cc82178742c36450f5662bd4fb30b0">mix</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y, T a)</td></tr>
  161. <tr class="memdesc:ga31cc82178742c36450f5662bd4fb30b0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Spherical linear interpolation of two quaternions. <a href="a00172.html#ga31cc82178742c36450f5662bd4fb30b0">More...</a><br /></td></tr>
  162. <tr class="separator:ga31cc82178742c36450f5662bd4fb30b0"><td class="memSeparator" colspan="2">&#160;</td></tr>
  163. <tr class="memitem:ga35b6bcb22ac6d1e4a85440f5b69bdf86"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  164. <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="a00172.html#ga35b6bcb22ac6d1e4a85440f5b69bdf86">normalize</a> (tquat&lt; T, P &gt; const &amp;q)</td></tr>
  165. <tr class="memdesc:ga35b6bcb22ac6d1e4a85440f5b69bdf86"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the normalized quaternion. <a href="a00172.html#ga35b6bcb22ac6d1e4a85440f5b69bdf86">More...</a><br /></td></tr>
  166. <tr class="separator:ga35b6bcb22ac6d1e4a85440f5b69bdf86"><td class="memSeparator" colspan="2">&#160;</td></tr>
  167. <tr class="memitem:ga484c4633f7c05d8e29ee8b452350f539"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  168. <tr class="memitem:ga484c4633f7c05d8e29ee8b452350f539"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tvec4&lt; bool, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00172.html#ga484c4633f7c05d8e29ee8b452350f539">notEqual</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y)</td></tr>
  169. <tr class="memdesc:ga484c4633f7c05d8e29ee8b452350f539"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the component-wise comparison of result x != y. <a href="a00172.html#ga484c4633f7c05d8e29ee8b452350f539">More...</a><br /></td></tr>
  170. <tr class="separator:ga484c4633f7c05d8e29ee8b452350f539"><td class="memSeparator" colspan="2">&#160;</td></tr>
  171. <tr class="memitem:ga2c08b93a4261c10748fd4d2104346f17"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  172. <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="a00172.html#ga2c08b93a4261c10748fd4d2104346f17">pitch</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
  173. <tr class="memdesc:ga2c08b93a4261c10748fd4d2104346f17"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns pitch value of euler angles expressed in radians. <a href="a00172.html#ga2c08b93a4261c10748fd4d2104346f17">More...</a><br /></td></tr>
  174. <tr class="separator:ga2c08b93a4261c10748fd4d2104346f17"><td class="memSeparator" colspan="2">&#160;</td></tr>
  175. <tr class="memitem:ga950f8acff3e33bbda77895a3dcb7e5ce"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  176. <tr class="memitem:ga950f8acff3e33bbda77895a3dcb7e5ce"><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="a00172.html#ga950f8acff3e33bbda77895a3dcb7e5ce">quat_cast</a> (tmat3x3&lt; T, P &gt; const &amp;x)</td></tr>
  177. <tr class="memdesc:ga950f8acff3e33bbda77895a3dcb7e5ce"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts a 3 * 3 matrix to a quaternion. <a href="a00172.html#ga950f8acff3e33bbda77895a3dcb7e5ce">More...</a><br /></td></tr>
  178. <tr class="separator:ga950f8acff3e33bbda77895a3dcb7e5ce"><td class="memSeparator" colspan="2">&#160;</td></tr>
  179. <tr class="memitem:ga3e4615e9884dd0f41f5617b9848a5d9c"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  180. <tr class="memitem:ga3e4615e9884dd0f41f5617b9848a5d9c"><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="a00172.html#ga3e4615e9884dd0f41f5617b9848a5d9c">quat_cast</a> (tmat4x4&lt; T, P &gt; const &amp;x)</td></tr>
  181. <tr class="memdesc:ga3e4615e9884dd0f41f5617b9848a5d9c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts a 4 * 4 matrix to a quaternion. <a href="a00172.html#ga3e4615e9884dd0f41f5617b9848a5d9c">More...</a><br /></td></tr>
  182. <tr class="separator:ga3e4615e9884dd0f41f5617b9848a5d9c"><td class="memSeparator" colspan="2">&#160;</td></tr>
  183. <tr class="memitem:ga4fd705376c6c1fd667be0055a0ea58ec"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  184. <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="a00172.html#ga4fd705376c6c1fd667be0055a0ea58ec">roll</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
  185. <tr class="memdesc:ga4fd705376c6c1fd667be0055a0ea58ec"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns roll value of euler angles expressed in radians. <a href="a00172.html#ga4fd705376c6c1fd667be0055a0ea58ec">More...</a><br /></td></tr>
  186. <tr class="separator:ga4fd705376c6c1fd667be0055a0ea58ec"><td class="memSeparator" colspan="2">&#160;</td></tr>
  187. <tr class="memitem:gaa8f42979c921e450ff2812fb43c25702"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  188. <tr class="memitem:gaa8f42979c921e450ff2812fb43c25702"><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="a00172.html#gaa8f42979c921e450ff2812fb43c25702">rotate</a> (tquat&lt; T, P &gt; const &amp;q, T const &amp;angle, tvec3&lt; T, P &gt; const &amp;axis)</td></tr>
  189. <tr class="memdesc:gaa8f42979c921e450ff2812fb43c25702"><td class="mdescLeft">&#160;</td><td class="mdescRight">Rotates a quaternion from a vector of 3 components axis and an angle. <a href="a00172.html#gaa8f42979c921e450ff2812fb43c25702">More...</a><br /></td></tr>
  190. <tr class="separator:gaa8f42979c921e450ff2812fb43c25702"><td class="memSeparator" colspan="2">&#160;</td></tr>
  191. <tr class="memitem:ga22b438c7252f3fa5b773c9882471652a"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  192. <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="a00172.html#ga22b438c7252f3fa5b773c9882471652a">slerp</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y, T a)</td></tr>
  193. <tr class="memdesc:ga22b438c7252f3fa5b773c9882471652a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Spherical linear interpolation of two quaternions. <a href="a00172.html#ga22b438c7252f3fa5b773c9882471652a">More...</a><br /></td></tr>
  194. <tr class="separator:ga22b438c7252f3fa5b773c9882471652a"><td class="memSeparator" colspan="2">&#160;</td></tr>
  195. <tr class="memitem:ga724a5df282b70cec0a6cb0d6dcddb6d6"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  196. <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="a00172.html#ga724a5df282b70cec0a6cb0d6dcddb6d6">yaw</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
  197. <tr class="memdesc:ga724a5df282b70cec0a6cb0d6dcddb6d6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns yaw value of euler angles expressed in radians. <a href="a00172.html#ga724a5df282b70cec0a6cb0d6dcddb6d6">More...</a><br /></td></tr>
  198. <tr class="separator:ga724a5df282b70cec0a6cb0d6dcddb6d6"><td class="memSeparator" colspan="2">&#160;</td></tr>
  199. </table>
  200. <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
  201. <p>Defines a templated quaternion type and several quaternion operations. </p>
  202. <p>&lt;<a class="el" href="a00088.html" title="GLM_GTC_quaternion ">glm/gtc/quaternion.hpp</a>&gt; need to be included to use these functionalities. </p>
  203. <h2 class="groupheader">Function Documentation</h2>
  204. <a class="anchor" id="gad4a4448baedb198b2b1e7880d2544dc9"></a>
  205. <div class="memitem">
  206. <div class="memproto">
  207. <table class="memname">
  208. <tr>
  209. <td class="memname">GLM_FUNC_DECL T glm::angle </td>
  210. <td>(</td>
  211. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  212. <td class="paramname"><em>x</em></td><td>)</td>
  213. <td></td>
  214. </tr>
  215. </table>
  216. </div><div class="memdoc">
  217. <p>Returns the quaternion rotation angle. </p>
  218. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  219. </div>
  220. </div>
  221. <a class="anchor" id="ga37ae19405f1ccf766f27e4fcd035d859"></a>
  222. <div class="memitem">
  223. <div class="memproto">
  224. <table class="memname">
  225. <tr>
  226. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::angleAxis </td>
  227. <td>(</td>
  228. <td class="paramtype">T const &amp;&#160;</td>
  229. <td class="paramname"><em>angle</em>, </td>
  230. </tr>
  231. <tr>
  232. <td class="paramkey"></td>
  233. <td></td>
  234. <td class="paramtype">tvec3&lt; T, P &gt; const &amp;&#160;</td>
  235. <td class="paramname"><em>axis</em>&#160;</td>
  236. </tr>
  237. <tr>
  238. <td></td>
  239. <td>)</td>
  240. <td></td><td></td>
  241. </tr>
  242. </table>
  243. </div><div class="memdoc">
  244. <p>Build a quaternion from an angle and a normalized axis. </p>
  245. <dl class="params"><dt>Parameters</dt><dd>
  246. <table class="params">
  247. <tr><td class="paramname">angle</td><td>Angle expressed in radians. </td></tr>
  248. <tr><td class="paramname">axis</td><td>Axis of the quaternion, must be normalized.</td></tr>
  249. </table>
  250. </dd>
  251. </dl>
  252. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  253. </div>
  254. </div>
  255. <a class="anchor" id="ga0b3e87a13b2708154b72259e50789a19"></a>
  256. <div class="memitem">
  257. <div class="memproto">
  258. <table class="memname">
  259. <tr>
  260. <td class="memname">GLM_FUNC_DECL tvec3&lt;T, P&gt; glm::axis </td>
  261. <td>(</td>
  262. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  263. <td class="paramname"><em>x</em></td><td>)</td>
  264. <td></td>
  265. </tr>
  266. </table>
  267. </div><div class="memdoc">
  268. <p>Returns the q rotation axis. </p>
  269. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  270. </div>
  271. </div>
  272. <a class="anchor" id="gab1ace864fbf189ffa368950001808a3c"></a>
  273. <div class="memitem">
  274. <div class="memproto">
  275. <table class="memname">
  276. <tr>
  277. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::conjugate </td>
  278. <td>(</td>
  279. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  280. <td class="paramname"><em>q</em></td><td>)</td>
  281. <td></td>
  282. </tr>
  283. </table>
  284. </div><div class="memdoc">
  285. <p>Returns the q conjugate. </p>
  286. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.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="gac54dfc83de465a2d03e90d342242ab3d"></a>
  290. <div class="memitem">
  291. <div class="memproto">
  292. <table class="memname">
  293. <tr>
  294. <td class="memname">GLM_FUNC_DECL T glm::dot </td>
  295. <td>(</td>
  296. <td class="paramtype">quatType&lt; T, P &gt; const &amp;&#160;</td>
  297. <td class="paramname"><em>x</em>, </td>
  298. </tr>
  299. <tr>
  300. <td class="paramkey"></td>
  301. <td></td>
  302. <td class="paramtype">quatType&lt; T, P &gt; const &amp;&#160;</td>
  303. <td class="paramname"><em>y</em>&#160;</td>
  304. </tr>
  305. <tr>
  306. <td></td>
  307. <td>)</td>
  308. <td></td><td></td>
  309. </tr>
  310. </table>
  311. </div><div class="memdoc">
  312. <p>Returns dot product of q1 and q2, i.e., q1[0] * q2[0] + q1[1] * q2[1] + ... </p>
  313. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  314. </div>
  315. </div>
  316. <a class="anchor" id="gac187115710365e0b2902220b9611e7b6"></a>
  317. <div class="memitem">
  318. <div class="memproto">
  319. <table class="memname">
  320. <tr>
  321. <td class="memname">GLM_FUNC_DECL tvec4&lt;bool, P&gt; glm::equal </td>
  322. <td>(</td>
  323. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  324. <td class="paramname"><em>x</em>, </td>
  325. </tr>
  326. <tr>
  327. <td class="paramkey"></td>
  328. <td></td>
  329. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  330. <td class="paramname"><em>y</em>&#160;</td>
  331. </tr>
  332. <tr>
  333. <td></td>
  334. <td>)</td>
  335. <td></td><td></td>
  336. </tr>
  337. </table>
  338. </div><div class="memdoc">
  339. <p>Returns the component-wise comparison of result x == y. </p>
  340. <dl class="tparams"><dt>Template Parameters</dt><dd>
  341. <table class="tparams">
  342. <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
  343. </table>
  344. </dd>
  345. </dl>
  346. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  347. </div>
  348. </div>
  349. <a class="anchor" id="gadb92ec1c1b0dd6b024176a73fbef3e64"></a>
  350. <div class="memitem">
  351. <div class="memproto">
  352. <table class="memname">
  353. <tr>
  354. <td class="memname">GLM_FUNC_DECL tvec3&lt;T, P&gt; glm::eulerAngles </td>
  355. <td>(</td>
  356. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  357. <td class="paramname"><em>x</em></td><td>)</td>
  358. <td></td>
  359. </tr>
  360. </table>
  361. </div><div class="memdoc">
  362. <p>Returns euler angles, pitch as x, yaw as y, roll as z. </p>
  363. <p>The result is expressed in radians if GLM_FORCE_RADIANS is defined or degrees otherwise.</p>
  364. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  365. </div>
  366. </div>
  367. <a class="anchor" id="ga09d21a588ae425ac7517ea65cc59a5ae"></a>
  368. <div class="memitem">
  369. <div class="memproto">
  370. <table class="memname">
  371. <tr>
  372. <td class="memname">GLM_FUNC_DECL tvec4&lt;bool, P&gt; glm::greaterThan </td>
  373. <td>(</td>
  374. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  375. <td class="paramname"><em>x</em>, </td>
  376. </tr>
  377. <tr>
  378. <td class="paramkey"></td>
  379. <td></td>
  380. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  381. <td class="paramname"><em>y</em>&#160;</td>
  382. </tr>
  383. <tr>
  384. <td></td>
  385. <td>)</td>
  386. <td></td><td></td>
  387. </tr>
  388. </table>
  389. </div><div class="memdoc">
  390. <p>Returns the component-wise comparison of result x &gt; y. </p>
  391. <dl class="tparams"><dt>Template Parameters</dt><dd>
  392. <table class="tparams">
  393. <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
  394. </table>
  395. </dd>
  396. </dl>
  397. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  398. </div>
  399. </div>
  400. <a class="anchor" id="ga0906a221a2037519fcf316ea5c1e3b3e"></a>
  401. <div class="memitem">
  402. <div class="memproto">
  403. <table class="memname">
  404. <tr>
  405. <td class="memname">GLM_FUNC_DECL tvec4&lt;bool, P&gt; glm::greaterThanEqual </td>
  406. <td>(</td>
  407. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  408. <td class="paramname"><em>x</em>, </td>
  409. </tr>
  410. <tr>
  411. <td class="paramkey"></td>
  412. <td></td>
  413. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  414. <td class="paramname"><em>y</em>&#160;</td>
  415. </tr>
  416. <tr>
  417. <td></td>
  418. <td>)</td>
  419. <td></td><td></td>
  420. </tr>
  421. </table>
  422. </div><div class="memdoc">
  423. <p>Returns the component-wise comparison of result x &gt;= y. </p>
  424. <dl class="tparams"><dt>Template Parameters</dt><dd>
  425. <table class="tparams">
  426. <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
  427. </table>
  428. </dd>
  429. </dl>
  430. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  431. </div>
  432. </div>
  433. <a class="anchor" id="ga5f47300c024c2d809944e6ac661d6d14"></a>
  434. <div class="memitem">
  435. <div class="memproto">
  436. <table class="memname">
  437. <tr>
  438. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::inverse </td>
  439. <td>(</td>
  440. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  441. <td class="paramname"><em>q</em></td><td>)</td>
  442. <td></td>
  443. </tr>
  444. </table>
  445. </div><div class="memdoc">
  446. <p>Returns the q inverse. </p>
  447. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  448. </div>
  449. </div>
  450. <a class="anchor" id="ga0a850f06736d25887536d0da88e63c70"></a>
  451. <div class="memitem">
  452. <div class="memproto">
  453. <table class="memname">
  454. <tr>
  455. <td class="memname">GLM_FUNC_DECL tvec4&lt;bool, P&gt; glm::isinf </td>
  456. <td>(</td>
  457. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  458. <td class="paramname"><em>x</em></td><td>)</td>
  459. <td></td>
  460. </tr>
  461. </table>
  462. </div><div class="memdoc">
  463. <p>Returns true if x holds a positive infinity or negative infinity representation in the underlying implementation's set of floating point representations. </p>
  464. <p>Returns false otherwise, including for implementations with no infinity representations.</p>
  465. <dl class="tparams"><dt>Template Parameters</dt><dd>
  466. <table class="tparams">
  467. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types. </td></tr>
  468. </table>
  469. </dd>
  470. </dl>
  471. </div>
  472. </div>
  473. <a class="anchor" id="gad2fc52dd4ba5ff79cc56b3e0f9c092ed"></a>
  474. <div class="memitem">
  475. <div class="memproto">
  476. <table class="memname">
  477. <tr>
  478. <td class="memname">GLM_FUNC_DECL tvec4&lt;bool, P&gt; glm::isnan </td>
  479. <td>(</td>
  480. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  481. <td class="paramname"><em>x</em></td><td>)</td>
  482. <td></td>
  483. </tr>
  484. </table>
  485. </div><div class="memdoc">
  486. <p>Returns true if x holds a NaN (not a number) representation in the underlying implementation's set of floating point representations. </p>
  487. <p>Returns false otherwise, including for implementations with no NaN representations.</p>
  488. <p>/!\ When using compiler fast math, this function may fail.</p>
  489. <dl class="tparams"><dt>Template Parameters</dt><dd>
  490. <table class="tparams">
  491. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types. </td></tr>
  492. </table>
  493. </dd>
  494. </dl>
  495. </div>
  496. </div>
  497. <a class="anchor" id="gac682181783027544c8d251b4d3a60cf8"></a>
  498. <div class="memitem">
  499. <div class="memproto">
  500. <table class="memname">
  501. <tr>
  502. <td class="memname">GLM_FUNC_DECL T glm::length </td>
  503. <td>(</td>
  504. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  505. <td class="paramname"><em>q</em></td><td>)</td>
  506. <td></td>
  507. </tr>
  508. </table>
  509. </div><div class="memdoc">
  510. <p>Returns the length of the quaternion. </p>
  511. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  512. </div>
  513. </div>
  514. <a class="anchor" id="ga5692804fa4db9e762a1c19b607e54435"></a>
  515. <div class="memitem">
  516. <div class="memproto">
  517. <table class="memname">
  518. <tr>
  519. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::lerp </td>
  520. <td>(</td>
  521. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  522. <td class="paramname"><em>x</em>, </td>
  523. </tr>
  524. <tr>
  525. <td class="paramkey"></td>
  526. <td></td>
  527. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  528. <td class="paramname"><em>y</em>, </td>
  529. </tr>
  530. <tr>
  531. <td class="paramkey"></td>
  532. <td></td>
  533. <td class="paramtype">T&#160;</td>
  534. <td class="paramname"><em>a</em>&#160;</td>
  535. </tr>
  536. <tr>
  537. <td></td>
  538. <td>)</td>
  539. <td></td><td></td>
  540. </tr>
  541. </table>
  542. </div><div class="memdoc">
  543. <p>Linear interpolation of two quaternions. </p>
  544. <p>The interpolation is oriented.</p>
  545. <dl class="params"><dt>Parameters</dt><dd>
  546. <table class="params">
  547. <tr><td class="paramname">x</td><td>A quaternion </td></tr>
  548. <tr><td class="paramname">y</td><td>A quaternion </td></tr>
  549. <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined in the range [0, 1]. </td></tr>
  550. </table>
  551. </dd>
  552. </dl>
  553. <dl class="tparams"><dt>Template Parameters</dt><dd>
  554. <table class="tparams">
  555. <tr><td class="paramname">T</td><td>Value type used to build the quaternion. Supported: half, float or double. </td></tr>
  556. </table>
  557. </dd>
  558. </dl>
  559. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  560. </div>
  561. </div>
  562. <a class="anchor" id="ga91a40d16a3b5bb47d71ac1a3fb688ffa"></a>
  563. <div class="memitem">
  564. <div class="memproto">
  565. <table class="memname">
  566. <tr>
  567. <td class="memname">GLM_FUNC_DECL tvec4&lt;bool, P&gt; glm::lessThan </td>
  568. <td>(</td>
  569. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  570. <td class="paramname"><em>x</em>, </td>
  571. </tr>
  572. <tr>
  573. <td class="paramkey"></td>
  574. <td></td>
  575. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  576. <td class="paramname"><em>y</em>&#160;</td>
  577. </tr>
  578. <tr>
  579. <td></td>
  580. <td>)</td>
  581. <td></td><td></td>
  582. </tr>
  583. </table>
  584. </div><div class="memdoc">
  585. <p>Returns the component-wise comparison result of x &lt; y. </p>
  586. <dl class="tparams"><dt>Template Parameters</dt><dd>
  587. <table class="tparams">
  588. <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
  589. </table>
  590. </dd>
  591. </dl>
  592. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  593. </div>
  594. </div>
  595. <a class="anchor" id="ga7c81996ed2724f26fe76faf352c76294"></a>
  596. <div class="memitem">
  597. <div class="memproto">
  598. <table class="memname">
  599. <tr>
  600. <td class="memname">GLM_FUNC_DECL tvec4&lt;bool, P&gt; glm::lessThanEqual </td>
  601. <td>(</td>
  602. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  603. <td class="paramname"><em>x</em>, </td>
  604. </tr>
  605. <tr>
  606. <td class="paramkey"></td>
  607. <td></td>
  608. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  609. <td class="paramname"><em>y</em>&#160;</td>
  610. </tr>
  611. <tr>
  612. <td></td>
  613. <td>)</td>
  614. <td></td><td></td>
  615. </tr>
  616. </table>
  617. </div><div class="memdoc">
  618. <p>Returns the component-wise comparison of result x &lt;= y. </p>
  619. <dl class="tparams"><dt>Template Parameters</dt><dd>
  620. <table class="tparams">
  621. <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
  622. </table>
  623. </dd>
  624. </dl>
  625. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  626. </div>
  627. </div>
  628. <a class="anchor" id="gae04c39422eb4e450ec8c4f45a1057b40"></a>
  629. <div class="memitem">
  630. <div class="memproto">
  631. <table class="memname">
  632. <tr>
  633. <td class="memname">GLM_FUNC_DECL tmat3x3&lt;T, P&gt; glm::mat3_cast </td>
  634. <td>(</td>
  635. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  636. <td class="paramname"><em>x</em></td><td>)</td>
  637. <td></td>
  638. </tr>
  639. </table>
  640. </div><div class="memdoc">
  641. <p>Converts a quaternion to a 3 * 3 matrix. </p>
  642. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  643. <p>Referenced by <a class="el" href="a00089_source.html#l00128">glm::toMat3()</a>.</p>
  644. </div>
  645. </div>
  646. <a class="anchor" id="ga14bb2ddf028c91542763eb6f2bba47ef"></a>
  647. <div class="memitem">
  648. <div class="memproto">
  649. <table class="memname">
  650. <tr>
  651. <td class="memname">GLM_FUNC_DECL tmat4x4&lt;T, P&gt; glm::mat4_cast </td>
  652. <td>(</td>
  653. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  654. <td class="paramname"><em>x</em></td><td>)</td>
  655. <td></td>
  656. </tr>
  657. </table>
  658. </div><div class="memdoc">
  659. <p>Converts a quaternion to a 4 * 4 matrix. </p>
  660. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  661. <p>Referenced by <a class="el" href="a00089_source.html#l00135">glm::toMat4()</a>.</p>
  662. </div>
  663. </div>
  664. <a class="anchor" id="ga31cc82178742c36450f5662bd4fb30b0"></a>
  665. <div class="memitem">
  666. <div class="memproto">
  667. <table class="memname">
  668. <tr>
  669. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::mix </td>
  670. <td>(</td>
  671. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  672. <td class="paramname"><em>x</em>, </td>
  673. </tr>
  674. <tr>
  675. <td class="paramkey"></td>
  676. <td></td>
  677. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  678. <td class="paramname"><em>y</em>, </td>
  679. </tr>
  680. <tr>
  681. <td class="paramkey"></td>
  682. <td></td>
  683. <td class="paramtype">T&#160;</td>
  684. <td class="paramname"><em>a</em>&#160;</td>
  685. </tr>
  686. <tr>
  687. <td></td>
  688. <td>)</td>
  689. <td></td><td></td>
  690. </tr>
  691. </table>
  692. </div><div class="memdoc">
  693. <p>Spherical linear interpolation of two quaternions. </p>
  694. <p>The interpolation is oriented and the rotation is performed at constant speed. For short path spherical linear interpolation, use the slerp function.</p>
  695. <dl class="params"><dt>Parameters</dt><dd>
  696. <table class="params">
  697. <tr><td class="paramname">x</td><td>A quaternion </td></tr>
  698. <tr><td class="paramname">y</td><td>A quaternion </td></tr>
  699. <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined beyond the range [0, 1]. </td></tr>
  700. </table>
  701. </dd>
  702. </dl>
  703. <dl class="tparams"><dt>Template Parameters</dt><dd>
  704. <table class="tparams">
  705. <tr><td class="paramname">T</td><td>Value type used to build the quaternion. Supported: half, float or double. </td></tr>
  706. </table>
  707. </dd>
  708. </dl>
  709. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd>
  710. <dd>
  711. - slerp(tquat&lt;T, P&gt; const &amp; x, tquat&lt;T, P&gt; const &amp; y, T const &amp; a) </dd></dl>
  712. </div>
  713. </div>
  714. <a class="anchor" id="ga35b6bcb22ac6d1e4a85440f5b69bdf86"></a>
  715. <div class="memitem">
  716. <div class="memproto">
  717. <table class="memname">
  718. <tr>
  719. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::normalize </td>
  720. <td>(</td>
  721. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  722. <td class="paramname"><em>q</em></td><td>)</td>
  723. <td></td>
  724. </tr>
  725. </table>
  726. </div><div class="memdoc">
  727. <p>Returns the normalized quaternion. </p>
  728. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  729. </div>
  730. </div>
  731. <a class="anchor" id="ga484c4633f7c05d8e29ee8b452350f539"></a>
  732. <div class="memitem">
  733. <div class="memproto">
  734. <table class="memname">
  735. <tr>
  736. <td class="memname">GLM_FUNC_DECL tvec4&lt;bool, P&gt; glm::notEqual </td>
  737. <td>(</td>
  738. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  739. <td class="paramname"><em>x</em>, </td>
  740. </tr>
  741. <tr>
  742. <td class="paramkey"></td>
  743. <td></td>
  744. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  745. <td class="paramname"><em>y</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>Returns the component-wise comparison of result x != y. </p>
  755. <dl class="tparams"><dt>Template Parameters</dt><dd>
  756. <table class="tparams">
  757. <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
  758. </table>
  759. </dd>
  760. </dl>
  761. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  762. </div>
  763. </div>
  764. <a class="anchor" id="ga2c08b93a4261c10748fd4d2104346f17"></a>
  765. <div class="memitem">
  766. <div class="memproto">
  767. <table class="memname">
  768. <tr>
  769. <td class="memname">GLM_FUNC_DECL T glm::pitch </td>
  770. <td>(</td>
  771. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  772. <td class="paramname"><em>x</em></td><td>)</td>
  773. <td></td>
  774. </tr>
  775. </table>
  776. </div><div class="memdoc">
  777. <p>Returns pitch value of euler angles expressed in radians. </p>
  778. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00220.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
  779. </div>
  780. </div>
  781. <a class="anchor" id="ga950f8acff3e33bbda77895a3dcb7e5ce"></a>
  782. <div class="memitem">
  783. <div class="memproto">
  784. <table class="memname">
  785. <tr>
  786. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::quat_cast </td>
  787. <td>(</td>
  788. <td class="paramtype">tmat3x3&lt; T, P &gt; const &amp;&#160;</td>
  789. <td class="paramname"><em>x</em></td><td>)</td>
  790. <td></td>
  791. </tr>
  792. </table>
  793. </div><div class="memdoc">
  794. <p>Converts a 3 * 3 matrix to a quaternion. </p>
  795. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  796. <p>Referenced by <a class="el" href="a00089_source.html#l00142">glm::toQuat()</a>.</p>
  797. </div>
  798. </div>
  799. <a class="anchor" id="ga3e4615e9884dd0f41f5617b9848a5d9c"></a>
  800. <div class="memitem">
  801. <div class="memproto">
  802. <table class="memname">
  803. <tr>
  804. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::quat_cast </td>
  805. <td>(</td>
  806. <td class="paramtype">tmat4x4&lt; T, P &gt; const &amp;&#160;</td>
  807. <td class="paramname"><em>x</em></td><td>)</td>
  808. <td></td>
  809. </tr>
  810. </table>
  811. </div><div class="memdoc">
  812. <p>Converts a 4 * 4 matrix to a quaternion. </p>
  813. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  814. </div>
  815. </div>
  816. <a class="anchor" id="ga4fd705376c6c1fd667be0055a0ea58ec"></a>
  817. <div class="memitem">
  818. <div class="memproto">
  819. <table class="memname">
  820. <tr>
  821. <td class="memname">GLM_FUNC_DECL T glm::roll </td>
  822. <td>(</td>
  823. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  824. <td class="paramname"><em>x</em></td><td>)</td>
  825. <td></td>
  826. </tr>
  827. </table>
  828. </div><div class="memdoc">
  829. <p>Returns roll value of euler angles expressed in radians. </p>
  830. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00220.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
  831. </div>
  832. </div>
  833. <a class="anchor" id="gaa8f42979c921e450ff2812fb43c25702"></a>
  834. <div class="memitem">
  835. <div class="memproto">
  836. <table class="memname">
  837. <tr>
  838. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::rotate </td>
  839. <td>(</td>
  840. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  841. <td class="paramname"><em>q</em>, </td>
  842. </tr>
  843. <tr>
  844. <td class="paramkey"></td>
  845. <td></td>
  846. <td class="paramtype">T const &amp;&#160;</td>
  847. <td class="paramname"><em>angle</em>, </td>
  848. </tr>
  849. <tr>
  850. <td class="paramkey"></td>
  851. <td></td>
  852. <td class="paramtype">tvec3&lt; T, P &gt; const &amp;&#160;</td>
  853. <td class="paramname"><em>axis</em>&#160;</td>
  854. </tr>
  855. <tr>
  856. <td></td>
  857. <td>)</td>
  858. <td></td><td></td>
  859. </tr>
  860. </table>
  861. </div><div class="memdoc">
  862. <p>Rotates a quaternion from a vector of 3 components axis and an angle. </p>
  863. <dl class="params"><dt>Parameters</dt><dd>
  864. <table class="params">
  865. <tr><td class="paramname">q</td><td>Source orientation </td></tr>
  866. <tr><td class="paramname">angle</td><td>Angle expressed in radians. </td></tr>
  867. <tr><td class="paramname">axis</td><td>Axis of the rotation</td></tr>
  868. </table>
  869. </dd>
  870. </dl>
  871. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  872. </div>
  873. </div>
  874. <a class="anchor" id="ga22b438c7252f3fa5b773c9882471652a"></a>
  875. <div class="memitem">
  876. <div class="memproto">
  877. <table class="memname">
  878. <tr>
  879. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::slerp </td>
  880. <td>(</td>
  881. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  882. <td class="paramname"><em>x</em>, </td>
  883. </tr>
  884. <tr>
  885. <td class="paramkey"></td>
  886. <td></td>
  887. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  888. <td class="paramname"><em>y</em>, </td>
  889. </tr>
  890. <tr>
  891. <td class="paramkey"></td>
  892. <td></td>
  893. <td class="paramtype">T&#160;</td>
  894. <td class="paramname"><em>a</em>&#160;</td>
  895. </tr>
  896. <tr>
  897. <td></td>
  898. <td>)</td>
  899. <td></td><td></td>
  900. </tr>
  901. </table>
  902. </div><div class="memdoc">
  903. <p>Spherical linear interpolation of two quaternions. </p>
  904. <p>The interpolation always take the short path and the rotation is performed at constant speed.</p>
  905. <dl class="params"><dt>Parameters</dt><dd>
  906. <table class="params">
  907. <tr><td class="paramname">x</td><td>A quaternion </td></tr>
  908. <tr><td class="paramname">y</td><td>A quaternion </td></tr>
  909. <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined beyond the range [0, 1]. </td></tr>
  910. </table>
  911. </dd>
  912. </dl>
  913. <dl class="tparams"><dt>Template Parameters</dt><dd>
  914. <table class="tparams">
  915. <tr><td class="paramname">T</td><td>Value type used to build the quaternion. Supported: half, float or double. </td></tr>
  916. </table>
  917. </dd>
  918. </dl>
  919. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00172.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
  920. </div>
  921. </div>
  922. <a class="anchor" id="ga724a5df282b70cec0a6cb0d6dcddb6d6"></a>
  923. <div class="memitem">
  924. <div class="memproto">
  925. <table class="memname">
  926. <tr>
  927. <td class="memname">GLM_FUNC_DECL T glm::yaw </td>
  928. <td>(</td>
  929. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  930. <td class="paramname"><em>x</em></td><td>)</td>
  931. <td></td>
  932. </tr>
  933. </table>
  934. </div><div class="memdoc">
  935. <p>Returns yaw value of euler angles expressed in radians. </p>
  936. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00220.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
  937. </div>
  938. </div>
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