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  75. <div class="header">
  76. <div class="summary">
  77. <a href="#func-members">Functions</a> </div>
  78. <div class="headertitle">
  79. <div class="title">GLM_EXT_quaternion_common<div class="ingroups"><a class="el" href="a00285.html">Stable extensions</a></div></div> </div>
  80. </div><!--header-->
  81. <div class="contents">
  82. <p>Provides common functions for quaternion types.
  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:ga10d7bda73201788ac2ab28cd8d0d409b"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier Q&gt; </td></tr>
  88. <tr class="memitem:ga10d7bda73201788ac2ab28cd8d0d409b"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL qua&lt; T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00248.html#ga10d7bda73201788ac2ab28cd8d0d409b">conjugate</a> (qua&lt; T, Q &gt; const &amp;q)</td></tr>
  89. <tr class="memdesc:ga10d7bda73201788ac2ab28cd8d0d409b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the q conjugate. <a href="a00248.html#ga10d7bda73201788ac2ab28cd8d0d409b">More...</a><br /></td></tr>
  90. <tr class="separator:ga10d7bda73201788ac2ab28cd8d0d409b"><td class="memSeparator" colspan="2">&#160;</td></tr>
  91. <tr class="memitem:gab41da854ae678e23e114b598cbca4065"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier Q&gt; </td></tr>
  92. <tr class="memitem:gab41da854ae678e23e114b598cbca4065"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL qua&lt; T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00248.html#gab41da854ae678e23e114b598cbca4065">inverse</a> (qua&lt; T, Q &gt; const &amp;q)</td></tr>
  93. <tr class="memdesc:gab41da854ae678e23e114b598cbca4065"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the q inverse. <a href="a00248.html#gab41da854ae678e23e114b598cbca4065">More...</a><br /></td></tr>
  94. <tr class="separator:gab41da854ae678e23e114b598cbca4065"><td class="memSeparator" colspan="2">&#160;</td></tr>
  95. <tr class="memitem:ga45722741ea266b4e861938b365c5f362"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier Q&gt; </td></tr>
  96. <tr class="memitem:ga45722741ea266b4e861938b365c5f362"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; 4, bool, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00248.html#ga45722741ea266b4e861938b365c5f362">isinf</a> (qua&lt; T, Q &gt; const &amp;x)</td></tr>
  97. <tr class="memdesc:ga45722741ea266b4e861938b365c5f362"><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="a00248.html#ga45722741ea266b4e861938b365c5f362">More...</a><br /></td></tr>
  98. <tr class="separator:ga45722741ea266b4e861938b365c5f362"><td class="memSeparator" colspan="2">&#160;</td></tr>
  99. <tr class="memitem:ga1bb55f8963616502e96dc564384d8a03"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier Q&gt; </td></tr>
  100. <tr class="memitem:ga1bb55f8963616502e96dc564384d8a03"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; 4, bool, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00248.html#ga1bb55f8963616502e96dc564384d8a03">isnan</a> (qua&lt; T, Q &gt; const &amp;x)</td></tr>
  101. <tr class="memdesc:ga1bb55f8963616502e96dc564384d8a03"><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="a00248.html#ga1bb55f8963616502e96dc564384d8a03">More...</a><br /></td></tr>
  102. <tr class="separator:ga1bb55f8963616502e96dc564384d8a03"><td class="memSeparator" colspan="2">&#160;</td></tr>
  103. <tr class="memitem:ga6033dc0741051fa463a0a147ba29f293"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier Q&gt; </td></tr>
  104. <tr class="memitem:ga6033dc0741051fa463a0a147ba29f293"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL qua&lt; T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00248.html#ga6033dc0741051fa463a0a147ba29f293">lerp</a> (qua&lt; T, Q &gt; const &amp;x, qua&lt; T, Q &gt; const &amp;y, T a)</td></tr>
  105. <tr class="memdesc:ga6033dc0741051fa463a0a147ba29f293"><td class="mdescLeft">&#160;</td><td class="mdescRight">Linear interpolation of two quaternions. <a href="a00248.html#ga6033dc0741051fa463a0a147ba29f293">More...</a><br /></td></tr>
  106. <tr class="separator:ga6033dc0741051fa463a0a147ba29f293"><td class="memSeparator" colspan="2">&#160;</td></tr>
  107. <tr class="memitem:gafbfe587b8da11fb89a30c3d67dd5ccc2"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier Q&gt; </td></tr>
  108. <tr class="memitem:gafbfe587b8da11fb89a30c3d67dd5ccc2"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL qua&lt; T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00248.html#gafbfe587b8da11fb89a30c3d67dd5ccc2">mix</a> (qua&lt; T, Q &gt; const &amp;x, qua&lt; T, Q &gt; const &amp;y, T a)</td></tr>
  109. <tr class="memdesc:gafbfe587b8da11fb89a30c3d67dd5ccc2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Spherical linear interpolation of two quaternions. <a href="a00248.html#gafbfe587b8da11fb89a30c3d67dd5ccc2">More...</a><br /></td></tr>
  110. <tr class="separator:gafbfe587b8da11fb89a30c3d67dd5ccc2"><td class="memSeparator" colspan="2">&#160;</td></tr>
  111. <tr class="memitem:gae7fc3c945be366b9942b842f55da428a"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier Q&gt; </td></tr>
  112. <tr class="memitem:gae7fc3c945be366b9942b842f55da428a"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL qua&lt; T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00248.html#gae7fc3c945be366b9942b842f55da428a">slerp</a> (qua&lt; T, Q &gt; const &amp;x, qua&lt; T, Q &gt; const &amp;y, T a)</td></tr>
  113. <tr class="memdesc:gae7fc3c945be366b9942b842f55da428a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Spherical linear interpolation of two quaternions. <a href="a00248.html#gae7fc3c945be366b9942b842f55da428a">More...</a><br /></td></tr>
  114. <tr class="separator:gae7fc3c945be366b9942b842f55da428a"><td class="memSeparator" colspan="2">&#160;</td></tr>
  115. </table>
  116. <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
  117. <p>Provides common functions for quaternion types. </p>
  118. <p>Include &lt;<a class="el" href="a00127.html" title="GLM_EXT_quaternion_common ">glm/ext/quaternion_common.hpp</a>&gt; to use the features of this extension.</p>
  119. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00258.html" title="Exposes min and max functions for 3 to 4 scalar parameters. ">GLM_EXT_scalar_common</a> </dd>
  120. <dd>
  121. <a class="el" href="a00267.html" title="Exposes min and max functions for 3 to 4 vector parameters. ">GLM_EXT_vector_common</a> </dd>
  122. <dd>
  123. <a class="el" href="a00252.html" title="Exposes single-precision floating point quaternion type. ">GLM_EXT_quaternion_float</a> </dd>
  124. <dd>
  125. <a class="el" href="a00249.html" title="Exposes double-precision floating point quaternion type. ">GLM_EXT_quaternion_double</a> </dd>
  126. <dd>
  127. <a class="el" href="a00251.html" title="Provides exponential functions for quaternion types. ">GLM_EXT_quaternion_exponential</a> </dd>
  128. <dd>
  129. <a class="el" href="a00254.html" title="Provides geometric functions for quaternion types. ">GLM_EXT_quaternion_geometric</a> </dd>
  130. <dd>
  131. <a class="el" href="a00255.html" title="Exposes comparison functions for quaternion types that take a user defined epsilon values...">GLM_EXT_quaternion_relational</a> </dd>
  132. <dd>
  133. <a class="el" href="a00257.html" title="Provides trigonometric functions for quaternion types. ">GLM_EXT_quaternion_trigonometric</a> </dd>
  134. <dd>
  135. <a class="el" href="a00256.html" title="Provides transformation functions for quaternion types. ">GLM_EXT_quaternion_transform</a> </dd></dl>
  136. <h2 class="groupheader">Function Documentation</h2>
  137. <a class="anchor" id="ga10d7bda73201788ac2ab28cd8d0d409b"></a>
  138. <div class="memitem">
  139. <div class="memproto">
  140. <table class="memname">
  141. <tr>
  142. <td class="memname">GLM_FUNC_DECL qua&lt;T, Q&gt; glm::conjugate </td>
  143. <td>(</td>
  144. <td class="paramtype">qua&lt; T, Q &gt; const &amp;&#160;</td>
  145. <td class="paramname"><em>q</em></td><td>)</td>
  146. <td></td>
  147. </tr>
  148. </table>
  149. </div><div class="memdoc">
  150. <p>Returns the q conjugate. </p>
  151. <dl class="tparams"><dt>Template Parameters</dt><dd>
  152. <table class="tparams">
  153. <tr><td class="paramname">T</td><td>A floating-point scalar type </td></tr>
  154. <tr><td class="paramname">Q</td><td>A value from qualifier enum </td></tr>
  155. </table>
  156. </dd>
  157. </dl>
  158. </div>
  159. </div>
  160. <a class="anchor" id="gab41da854ae678e23e114b598cbca4065"></a>
  161. <div class="memitem">
  162. <div class="memproto">
  163. <table class="memname">
  164. <tr>
  165. <td class="memname">GLM_FUNC_DECL qua&lt;T, Q&gt; glm::inverse </td>
  166. <td>(</td>
  167. <td class="paramtype">qua&lt; T, Q &gt; const &amp;&#160;</td>
  168. <td class="paramname"><em>q</em></td><td>)</td>
  169. <td></td>
  170. </tr>
  171. </table>
  172. </div><div class="memdoc">
  173. <p>Returns the q inverse. </p>
  174. <dl class="tparams"><dt>Template Parameters</dt><dd>
  175. <table class="tparams">
  176. <tr><td class="paramname">T</td><td>A floating-point scalar type </td></tr>
  177. <tr><td class="paramname">Q</td><td>A value from qualifier enum </td></tr>
  178. </table>
  179. </dd>
  180. </dl>
  181. </div>
  182. </div>
  183. <a class="anchor" id="ga45722741ea266b4e861938b365c5f362"></a>
  184. <div class="memitem">
  185. <div class="memproto">
  186. <table class="memname">
  187. <tr>
  188. <td class="memname">GLM_FUNC_DECL vec&lt;4, bool, Q&gt; glm::isinf </td>
  189. <td>(</td>
  190. <td class="paramtype">qua&lt; T, Q &gt; const &amp;&#160;</td>
  191. <td class="paramname"><em>x</em></td><td>)</td>
  192. <td></td>
  193. </tr>
  194. </table>
  195. </div><div class="memdoc">
  196. <p>Returns true if x holds a positive infinity or negative infinity representation in the underlying implementation's set of floating point representations. </p>
  197. <p>Returns false otherwise, including for implementations with no infinity representations.</p>
  198. <dl class="tparams"><dt>Template Parameters</dt><dd>
  199. <table class="tparams">
  200. <tr><td class="paramname">T</td><td>A floating-point scalar type </td></tr>
  201. <tr><td class="paramname">Q</td><td>A value from qualifier enum </td></tr>
  202. </table>
  203. </dd>
  204. </dl>
  205. </div>
  206. </div>
  207. <a class="anchor" id="ga1bb55f8963616502e96dc564384d8a03"></a>
  208. <div class="memitem">
  209. <div class="memproto">
  210. <table class="memname">
  211. <tr>
  212. <td class="memname">GLM_FUNC_DECL vec&lt;4, bool, Q&gt; glm::isnan </td>
  213. <td>(</td>
  214. <td class="paramtype">qua&lt; T, Q &gt; const &amp;&#160;</td>
  215. <td class="paramname"><em>x</em></td><td>)</td>
  216. <td></td>
  217. </tr>
  218. </table>
  219. </div><div class="memdoc">
  220. <p>Returns true if x holds a NaN (not a number) representation in the underlying implementation's set of floating point representations. </p>
  221. <p>Returns false otherwise, including for implementations with no NaN representations.</p>
  222. <p>/!\ When using compiler fast math, this function may fail.</p>
  223. <dl class="tparams"><dt>Template Parameters</dt><dd>
  224. <table class="tparams">
  225. <tr><td class="paramname">T</td><td>A floating-point scalar type </td></tr>
  226. <tr><td class="paramname">Q</td><td>A value from qualifier enum </td></tr>
  227. </table>
  228. </dd>
  229. </dl>
  230. </div>
  231. </div>
  232. <a class="anchor" id="ga6033dc0741051fa463a0a147ba29f293"></a>
  233. <div class="memitem">
  234. <div class="memproto">
  235. <table class="memname">
  236. <tr>
  237. <td class="memname">GLM_FUNC_DECL qua&lt;T, Q&gt; glm::lerp </td>
  238. <td>(</td>
  239. <td class="paramtype">qua&lt; T, Q &gt; const &amp;&#160;</td>
  240. <td class="paramname"><em>x</em>, </td>
  241. </tr>
  242. <tr>
  243. <td class="paramkey"></td>
  244. <td></td>
  245. <td class="paramtype">qua&lt; T, Q &gt; const &amp;&#160;</td>
  246. <td class="paramname"><em>y</em>, </td>
  247. </tr>
  248. <tr>
  249. <td class="paramkey"></td>
  250. <td></td>
  251. <td class="paramtype">T&#160;</td>
  252. <td class="paramname"><em>a</em>&#160;</td>
  253. </tr>
  254. <tr>
  255. <td></td>
  256. <td>)</td>
  257. <td></td><td></td>
  258. </tr>
  259. </table>
  260. </div><div class="memdoc">
  261. <p>Linear interpolation of two quaternions. </p>
  262. <p>The interpolation is oriented.</p>
  263. <dl class="params"><dt>Parameters</dt><dd>
  264. <table class="params">
  265. <tr><td class="paramname">x</td><td>A quaternion </td></tr>
  266. <tr><td class="paramname">y</td><td>A quaternion </td></tr>
  267. <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined in the range [0, 1].</td></tr>
  268. </table>
  269. </dd>
  270. </dl>
  271. <dl class="tparams"><dt>Template Parameters</dt><dd>
  272. <table class="tparams">
  273. <tr><td class="paramname">T</td><td>A floating-point scalar type </td></tr>
  274. <tr><td class="paramname">Q</td><td>A value from qualifier enum </td></tr>
  275. </table>
  276. </dd>
  277. </dl>
  278. </div>
  279. </div>
  280. <a class="anchor" id="gafbfe587b8da11fb89a30c3d67dd5ccc2"></a>
  281. <div class="memitem">
  282. <div class="memproto">
  283. <table class="memname">
  284. <tr>
  285. <td class="memname">GLM_FUNC_DECL qua&lt;T, Q&gt; glm::mix </td>
  286. <td>(</td>
  287. <td class="paramtype">qua&lt; T, Q &gt; const &amp;&#160;</td>
  288. <td class="paramname"><em>x</em>, </td>
  289. </tr>
  290. <tr>
  291. <td class="paramkey"></td>
  292. <td></td>
  293. <td class="paramtype">qua&lt; T, Q &gt; const &amp;&#160;</td>
  294. <td class="paramname"><em>y</em>, </td>
  295. </tr>
  296. <tr>
  297. <td class="paramkey"></td>
  298. <td></td>
  299. <td class="paramtype">T&#160;</td>
  300. <td class="paramname"><em>a</em>&#160;</td>
  301. </tr>
  302. <tr>
  303. <td></td>
  304. <td>)</td>
  305. <td></td><td></td>
  306. </tr>
  307. </table>
  308. </div><div class="memdoc">
  309. <p>Spherical linear interpolation of two quaternions. </p>
  310. <p>The interpolation is oriented and the rotation is performed at constant speed. For short path spherical linear interpolation, use the slerp function.</p>
  311. <dl class="params"><dt>Parameters</dt><dd>
  312. <table class="params">
  313. <tr><td class="paramname">x</td><td>A quaternion </td></tr>
  314. <tr><td class="paramname">y</td><td>A quaternion </td></tr>
  315. <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined beyond the range [0, 1].</td></tr>
  316. </table>
  317. </dd>
  318. </dl>
  319. <dl class="tparams"><dt>Template Parameters</dt><dd>
  320. <table class="tparams">
  321. <tr><td class="paramname">T</td><td>A floating-point scalar type </td></tr>
  322. <tr><td class="paramname">Q</td><td>A value from qualifier enum</td></tr>
  323. </table>
  324. </dd>
  325. </dl>
  326. <dl class="section see"><dt>See also</dt><dd>- slerp(qua&lt;T, Q&gt; const&amp; x, qua&lt;T, Q&gt; const&amp; y, T const&amp; a) </dd></dl>
  327. </div>
  328. </div>
  329. <a class="anchor" id="gae7fc3c945be366b9942b842f55da428a"></a>
  330. <div class="memitem">
  331. <div class="memproto">
  332. <table class="memname">
  333. <tr>
  334. <td class="memname">GLM_FUNC_DECL qua&lt;T, Q&gt; glm::slerp </td>
  335. <td>(</td>
  336. <td class="paramtype">qua&lt; T, Q &gt; const &amp;&#160;</td>
  337. <td class="paramname"><em>x</em>, </td>
  338. </tr>
  339. <tr>
  340. <td class="paramkey"></td>
  341. <td></td>
  342. <td class="paramtype">qua&lt; T, Q &gt; const &amp;&#160;</td>
  343. <td class="paramname"><em>y</em>, </td>
  344. </tr>
  345. <tr>
  346. <td class="paramkey"></td>
  347. <td></td>
  348. <td class="paramtype">T&#160;</td>
  349. <td class="paramname"><em>a</em>&#160;</td>
  350. </tr>
  351. <tr>
  352. <td></td>
  353. <td>)</td>
  354. <td></td><td></td>
  355. </tr>
  356. </table>
  357. </div><div class="memdoc">
  358. <p>Spherical linear interpolation of two quaternions. </p>
  359. <p>The interpolation always take the short path and the rotation is performed at constant speed.</p>
  360. <dl class="params"><dt>Parameters</dt><dd>
  361. <table class="params">
  362. <tr><td class="paramname">x</td><td>A quaternion </td></tr>
  363. <tr><td class="paramname">y</td><td>A quaternion </td></tr>
  364. <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined beyond the range [0, 1].</td></tr>
  365. </table>
  366. </dd>
  367. </dl>
  368. <dl class="tparams"><dt>Template Parameters</dt><dd>
  369. <table class="tparams">
  370. <tr><td class="paramname">T</td><td>A floating-point scalar type </td></tr>
  371. <tr><td class="paramname">Q</td><td>A value from qualifier enum </td></tr>
  372. </table>
  373. </dd>
  374. </dl>
  375. </div>
  376. </div>
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