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  42. <div class="title">GLM_GTC_quaternion<div class="ingroups"><a class="el" href="a00154.html">GTC Extensions (Stable)</a></div></div> </div>
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  46. <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
  47. Functions</h2></td></tr>
  48. <tr class="memitem:gad4a4448baedb198b2b1e7880d2544dc9"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
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  117. <tr class="memitem:ga3e4615e9884dd0f41f5617b9848a5d9c"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  118. <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>
  119. <tr class="separator:ga3e4615e9884dd0f41f5617b9848a5d9c"><td class="memSeparator" colspan="2">&#160;</td></tr>
  120. <tr class="memitem:ga4fd705376c6c1fd667be0055a0ea58ec"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  121. <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>
  122. <tr class="separator:ga4fd705376c6c1fd667be0055a0ea58ec"><td class="memSeparator" colspan="2">&#160;</td></tr>
  123. <tr class="memitem:gaa8f42979c921e450ff2812fb43c25702"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  124. <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>
  125. <tr class="separator:gaa8f42979c921e450ff2812fb43c25702"><td class="memSeparator" colspan="2">&#160;</td></tr>
  126. <tr class="memitem:ga22b438c7252f3fa5b773c9882471652a"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  127. <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>
  128. <tr class="separator:ga22b438c7252f3fa5b773c9882471652a"><td class="memSeparator" colspan="2">&#160;</td></tr>
  129. <tr class="memitem:ga724a5df282b70cec0a6cb0d6dcddb6d6"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
  130. <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>
  131. <tr class="separator:ga724a5df282b70cec0a6cb0d6dcddb6d6"><td class="memSeparator" colspan="2">&#160;</td></tr>
  132. </table>
  133. <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
  134. <p>Defines a templated quaternion type and several quaternion operations. </p>
  135. <p>&lt;<a class="el" href="a00087.html" title="GLM_GTC_quaternion ">glm/gtc/quaternion.hpp</a>&gt; need to be included to use these functionalities. </p>
  136. <h2 class="groupheader">Function Documentation</h2>
  137. <a class="anchor" id="gad4a4448baedb198b2b1e7880d2544dc9"></a>
  138. <div class="memitem">
  139. <div class="memproto">
  140. <table class="memname">
  141. <tr>
  142. <td class="memname">GLM_FUNC_DECL T glm::angle </td>
  143. <td>(</td>
  144. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  145. <td class="paramname"><em>x</em></td><td>)</td>
  146. <td></td>
  147. </tr>
  148. </table>
  149. </div><div class="memdoc">
  150. <p>Returns the quaternion rotation angle. </p>
  151. <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>
  152. </div>
  153. </div>
  154. <a class="anchor" id="ga37ae19405f1ccf766f27e4fcd035d859"></a>
  155. <div class="memitem">
  156. <div class="memproto">
  157. <table class="memname">
  158. <tr>
  159. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::angleAxis </td>
  160. <td>(</td>
  161. <td class="paramtype">T const &amp;&#160;</td>
  162. <td class="paramname"><em>angle</em>, </td>
  163. </tr>
  164. <tr>
  165. <td class="paramkey"></td>
  166. <td></td>
  167. <td class="paramtype">tvec3&lt; T, P &gt; const &amp;&#160;</td>
  168. <td class="paramname"><em>axis</em>&#160;</td>
  169. </tr>
  170. <tr>
  171. <td></td>
  172. <td>)</td>
  173. <td></td><td></td>
  174. </tr>
  175. </table>
  176. </div><div class="memdoc">
  177. <p>Build a quaternion from an angle and a normalized axis. </p>
  178. <dl class="params"><dt>Parameters</dt><dd>
  179. <table class="params">
  180. <tr><td class="paramname">angle</td><td>Angle expressed in radians. </td></tr>
  181. <tr><td class="paramname">axis</td><td>Axis of the quaternion, must be normalized.</td></tr>
  182. </table>
  183. </dd>
  184. </dl>
  185. <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>
  186. </div>
  187. </div>
  188. <a class="anchor" id="ga0b3e87a13b2708154b72259e50789a19"></a>
  189. <div class="memitem">
  190. <div class="memproto">
  191. <table class="memname">
  192. <tr>
  193. <td class="memname">GLM_FUNC_DECL tvec3&lt;T, P&gt; glm::axis </td>
  194. <td>(</td>
  195. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  196. <td class="paramname"><em>x</em></td><td>)</td>
  197. <td></td>
  198. </tr>
  199. </table>
  200. </div><div class="memdoc">
  201. <p>Returns the q rotation axis. </p>
  202. <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>
  203. </div>
  204. </div>
  205. <a class="anchor" id="gab1ace864fbf189ffa368950001808a3c"></a>
  206. <div class="memitem">
  207. <div class="memproto">
  208. <table class="memname">
  209. <tr>
  210. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::conjugate </td>
  211. <td>(</td>
  212. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  213. <td class="paramname"><em>q</em></td><td>)</td>
  214. <td></td>
  215. </tr>
  216. </table>
  217. </div><div class="memdoc">
  218. <p>Returns the q conjugate. </p>
  219. <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>
  220. </div>
  221. </div>
  222. <a class="anchor" id="gac54dfc83de465a2d03e90d342242ab3d"></a>
  223. <div class="memitem">
  224. <div class="memproto">
  225. <table class="memname">
  226. <tr>
  227. <td class="memname">GLM_FUNC_DECL T glm::dot </td>
  228. <td>(</td>
  229. <td class="paramtype">quatType&lt; T, P &gt; const &amp;&#160;</td>
  230. <td class="paramname"><em>x</em>, </td>
  231. </tr>
  232. <tr>
  233. <td class="paramkey"></td>
  234. <td></td>
  235. <td class="paramtype">quatType&lt; T, P &gt; const &amp;&#160;</td>
  236. <td class="paramname"><em>y</em>&#160;</td>
  237. </tr>
  238. <tr>
  239. <td></td>
  240. <td>)</td>
  241. <td></td><td></td>
  242. </tr>
  243. </table>
  244. </div><div class="memdoc">
  245. <p>Returns dot product of q1 and q2, i.e., q1[0] * q2[0] + q1[1] * q2[1] + ... </p>
  246. <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>
  247. </div>
  248. </div>
  249. <a class="anchor" id="gac187115710365e0b2902220b9611e7b6"></a>
  250. <div class="memitem">
  251. <div class="memproto">
  252. <table class="memname">
  253. <tr>
  254. <td class="memname">GLM_FUNC_DECL tvec4&lt;bool, P&gt; glm::equal </td>
  255. <td>(</td>
  256. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  257. <td class="paramname"><em>x</em>, </td>
  258. </tr>
  259. <tr>
  260. <td class="paramkey"></td>
  261. <td></td>
  262. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  263. <td class="paramname"><em>y</em>&#160;</td>
  264. </tr>
  265. <tr>
  266. <td></td>
  267. <td>)</td>
  268. <td></td><td></td>
  269. </tr>
  270. </table>
  271. </div><div class="memdoc">
  272. <p>Returns the component-wise comparison of result x == y. </p>
  273. <dl class="tparams"><dt>Template Parameters</dt><dd>
  274. <table class="tparams">
  275. <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
  276. </table>
  277. </dd>
  278. </dl>
  279. <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>
  280. </div>
  281. </div>
  282. <a class="anchor" id="gadb92ec1c1b0dd6b024176a73fbef3e64"></a>
  283. <div class="memitem">
  284. <div class="memproto">
  285. <table class="memname">
  286. <tr>
  287. <td class="memname">GLM_FUNC_DECL tvec3&lt;T, P&gt; glm::eulerAngles </td>
  288. <td>(</td>
  289. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  290. <td class="paramname"><em>x</em></td><td>)</td>
  291. <td></td>
  292. </tr>
  293. </table>
  294. </div><div class="memdoc">
  295. <p>Returns euler angles, pitch as x, yaw as y, roll as z. </p>
  296. <p>The result is expressed in radians if GLM_FORCE_RADIANS is defined or degrees otherwise.</p>
  297. <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>
  298. </div>
  299. </div>
  300. <a class="anchor" id="ga09d21a588ae425ac7517ea65cc59a5ae"></a>
  301. <div class="memitem">
  302. <div class="memproto">
  303. <table class="memname">
  304. <tr>
  305. <td class="memname">GLM_FUNC_DECL tvec4&lt;bool, P&gt; glm::greaterThan </td>
  306. <td>(</td>
  307. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  308. <td class="paramname"><em>x</em>, </td>
  309. </tr>
  310. <tr>
  311. <td class="paramkey"></td>
  312. <td></td>
  313. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  314. <td class="paramname"><em>y</em>&#160;</td>
  315. </tr>
  316. <tr>
  317. <td></td>
  318. <td>)</td>
  319. <td></td><td></td>
  320. </tr>
  321. </table>
  322. </div><div class="memdoc">
  323. <p>Returns the component-wise comparison of result x &gt; y. </p>
  324. <dl class="tparams"><dt>Template Parameters</dt><dd>
  325. <table class="tparams">
  326. <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
  327. </table>
  328. </dd>
  329. </dl>
  330. <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>
  331. </div>
  332. </div>
  333. <a class="anchor" id="ga0906a221a2037519fcf316ea5c1e3b3e"></a>
  334. <div class="memitem">
  335. <div class="memproto">
  336. <table class="memname">
  337. <tr>
  338. <td class="memname">GLM_FUNC_DECL tvec4&lt;bool, P&gt; glm::greaterThanEqual </td>
  339. <td>(</td>
  340. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  341. <td class="paramname"><em>x</em>, </td>
  342. </tr>
  343. <tr>
  344. <td class="paramkey"></td>
  345. <td></td>
  346. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  347. <td class="paramname"><em>y</em>&#160;</td>
  348. </tr>
  349. <tr>
  350. <td></td>
  351. <td>)</td>
  352. <td></td><td></td>
  353. </tr>
  354. </table>
  355. </div><div class="memdoc">
  356. <p>Returns the component-wise comparison of result x &gt;= y. </p>
  357. <dl class="tparams"><dt>Template Parameters</dt><dd>
  358. <table class="tparams">
  359. <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
  360. </table>
  361. </dd>
  362. </dl>
  363. <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>
  364. </div>
  365. </div>
  366. <a class="anchor" id="ga5f47300c024c2d809944e6ac661d6d14"></a>
  367. <div class="memitem">
  368. <div class="memproto">
  369. <table class="memname">
  370. <tr>
  371. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::inverse </td>
  372. <td>(</td>
  373. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  374. <td class="paramname"><em>q</em></td><td>)</td>
  375. <td></td>
  376. </tr>
  377. </table>
  378. </div><div class="memdoc">
  379. <p>Returns the q inverse. </p>
  380. <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>
  381. </div>
  382. </div>
  383. <a class="anchor" id="ga0a850f06736d25887536d0da88e63c70"></a>
  384. <div class="memitem">
  385. <div class="memproto">
  386. <table class="memname">
  387. <tr>
  388. <td class="memname">GLM_FUNC_DECL tvec4&lt;bool, P&gt; glm::isinf </td>
  389. <td>(</td>
  390. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  391. <td class="paramname"><em>x</em></td><td>)</td>
  392. <td></td>
  393. </tr>
  394. </table>
  395. </div><div class="memdoc">
  396. <p>Returns true if x holds a positive infinity or negative infinity representation in the underlying implementation's set of floating point representations. </p>
  397. <p>Returns false otherwise, including for implementations with no infinity representations.</p>
  398. <dl class="tparams"><dt>Template Parameters</dt><dd>
  399. <table class="tparams">
  400. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types. </td></tr>
  401. </table>
  402. </dd>
  403. </dl>
  404. </div>
  405. </div>
  406. <a class="anchor" id="gad2fc52dd4ba5ff79cc56b3e0f9c092ed"></a>
  407. <div class="memitem">
  408. <div class="memproto">
  409. <table class="memname">
  410. <tr>
  411. <td class="memname">GLM_FUNC_DECL tvec4&lt;bool, P&gt; glm::isnan </td>
  412. <td>(</td>
  413. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  414. <td class="paramname"><em>x</em></td><td>)</td>
  415. <td></td>
  416. </tr>
  417. </table>
  418. </div><div class="memdoc">
  419. <p>Returns true if x holds a NaN (not a number) representation in the underlying implementation's set of floating point representations. </p>
  420. <p>Returns false otherwise, including for implementations with no NaN representations.</p>
  421. <p>/!\ When using compiler fast math, this function may fail.</p>
  422. <dl class="tparams"><dt>Template Parameters</dt><dd>
  423. <table class="tparams">
  424. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types. </td></tr>
  425. </table>
  426. </dd>
  427. </dl>
  428. </div>
  429. </div>
  430. <a class="anchor" id="gac682181783027544c8d251b4d3a60cf8"></a>
  431. <div class="memitem">
  432. <div class="memproto">
  433. <table class="memname">
  434. <tr>
  435. <td class="memname">GLM_FUNC_DECL T glm::length </td>
  436. <td>(</td>
  437. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  438. <td class="paramname"><em>q</em></td><td>)</td>
  439. <td></td>
  440. </tr>
  441. </table>
  442. </div><div class="memdoc">
  443. <p>Returns the length of the quaternion. </p>
  444. <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>
  445. </div>
  446. </div>
  447. <a class="anchor" id="ga5692804fa4db9e762a1c19b607e54435"></a>
  448. <div class="memitem">
  449. <div class="memproto">
  450. <table class="memname">
  451. <tr>
  452. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::lerp </td>
  453. <td>(</td>
  454. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  455. <td class="paramname"><em>x</em>, </td>
  456. </tr>
  457. <tr>
  458. <td class="paramkey"></td>
  459. <td></td>
  460. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  461. <td class="paramname"><em>y</em>, </td>
  462. </tr>
  463. <tr>
  464. <td class="paramkey"></td>
  465. <td></td>
  466. <td class="paramtype">T&#160;</td>
  467. <td class="paramname"><em>a</em>&#160;</td>
  468. </tr>
  469. <tr>
  470. <td></td>
  471. <td>)</td>
  472. <td></td><td></td>
  473. </tr>
  474. </table>
  475. </div><div class="memdoc">
  476. <p>Linear interpolation of two quaternions. </p>
  477. <p>The interpolation is oriented.</p>
  478. <dl class="params"><dt>Parameters</dt><dd>
  479. <table class="params">
  480. <tr><td class="paramname">x</td><td>A quaternion </td></tr>
  481. <tr><td class="paramname">y</td><td>A quaternion </td></tr>
  482. <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined in the range [0, 1]. </td></tr>
  483. </table>
  484. </dd>
  485. </dl>
  486. <dl class="tparams"><dt>Template Parameters</dt><dd>
  487. <table class="tparams">
  488. <tr><td class="paramname">T</td><td>Value type used to build the quaternion. Supported: half, float or double. </td></tr>
  489. </table>
  490. </dd>
  491. </dl>
  492. <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>
  493. </div>
  494. </div>
  495. <a class="anchor" id="ga91a40d16a3b5bb47d71ac1a3fb688ffa"></a>
  496. <div class="memitem">
  497. <div class="memproto">
  498. <table class="memname">
  499. <tr>
  500. <td class="memname">GLM_FUNC_DECL tvec4&lt;bool, P&gt; glm::lessThan </td>
  501. <td>(</td>
  502. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  503. <td class="paramname"><em>x</em>, </td>
  504. </tr>
  505. <tr>
  506. <td class="paramkey"></td>
  507. <td></td>
  508. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  509. <td class="paramname"><em>y</em>&#160;</td>
  510. </tr>
  511. <tr>
  512. <td></td>
  513. <td>)</td>
  514. <td></td><td></td>
  515. </tr>
  516. </table>
  517. </div><div class="memdoc">
  518. <p>Returns the component-wise comparison result of x &lt; y. </p>
  519. <dl class="tparams"><dt>Template Parameters</dt><dd>
  520. <table class="tparams">
  521. <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
  522. </table>
  523. </dd>
  524. </dl>
  525. <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>
  526. </div>
  527. </div>
  528. <a class="anchor" id="ga7c81996ed2724f26fe76faf352c76294"></a>
  529. <div class="memitem">
  530. <div class="memproto">
  531. <table class="memname">
  532. <tr>
  533. <td class="memname">GLM_FUNC_DECL tvec4&lt;bool, P&gt; glm::lessThanEqual </td>
  534. <td>(</td>
  535. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  536. <td class="paramname"><em>x</em>, </td>
  537. </tr>
  538. <tr>
  539. <td class="paramkey"></td>
  540. <td></td>
  541. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  542. <td class="paramname"><em>y</em>&#160;</td>
  543. </tr>
  544. <tr>
  545. <td></td>
  546. <td>)</td>
  547. <td></td><td></td>
  548. </tr>
  549. </table>
  550. </div><div class="memdoc">
  551. <p>Returns the component-wise comparison of result x &lt;= y. </p>
  552. <dl class="tparams"><dt>Template Parameters</dt><dd>
  553. <table class="tparams">
  554. <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
  555. </table>
  556. </dd>
  557. </dl>
  558. <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>
  559. </div>
  560. </div>
  561. <a class="anchor" id="gae04c39422eb4e450ec8c4f45a1057b40"></a>
  562. <div class="memitem">
  563. <div class="memproto">
  564. <table class="memname">
  565. <tr>
  566. <td class="memname">GLM_FUNC_DECL tmat3x3&lt;T, P&gt; glm::mat3_cast </td>
  567. <td>(</td>
  568. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  569. <td class="paramname"><em>x</em></td><td>)</td>
  570. <td></td>
  571. </tr>
  572. </table>
  573. </div><div class="memdoc">
  574. <p>Converts a quaternion to a 3 * 3 matrix. </p>
  575. <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>
  576. <p>Referenced by <a class="el" href="a00088_source.html#l00124">glm::toMat3()</a>.</p>
  577. </div>
  578. </div>
  579. <a class="anchor" id="ga14bb2ddf028c91542763eb6f2bba47ef"></a>
  580. <div class="memitem">
  581. <div class="memproto">
  582. <table class="memname">
  583. <tr>
  584. <td class="memname">GLM_FUNC_DECL tmat4x4&lt;T, P&gt; glm::mat4_cast </td>
  585. <td>(</td>
  586. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  587. <td class="paramname"><em>x</em></td><td>)</td>
  588. <td></td>
  589. </tr>
  590. </table>
  591. </div><div class="memdoc">
  592. <p>Converts a quaternion to a 4 * 4 matrix. </p>
  593. <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>
  594. <p>Referenced by <a class="el" href="a00088_source.html#l00131">glm::toMat4()</a>.</p>
  595. </div>
  596. </div>
  597. <a class="anchor" id="ga31cc82178742c36450f5662bd4fb30b0"></a>
  598. <div class="memitem">
  599. <div class="memproto">
  600. <table class="memname">
  601. <tr>
  602. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::mix </td>
  603. <td>(</td>
  604. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  605. <td class="paramname"><em>x</em>, </td>
  606. </tr>
  607. <tr>
  608. <td class="paramkey"></td>
  609. <td></td>
  610. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  611. <td class="paramname"><em>y</em>, </td>
  612. </tr>
  613. <tr>
  614. <td class="paramkey"></td>
  615. <td></td>
  616. <td class="paramtype">T&#160;</td>
  617. <td class="paramname"><em>a</em>&#160;</td>
  618. </tr>
  619. <tr>
  620. <td></td>
  621. <td>)</td>
  622. <td></td><td></td>
  623. </tr>
  624. </table>
  625. </div><div class="memdoc">
  626. <p>Spherical linear interpolation of two quaternions. </p>
  627. <p>The interpolation is oriented and the rotation is performed at constant speed. For short path spherical linear interpolation, use the slerp function.</p>
  628. <dl class="params"><dt>Parameters</dt><dd>
  629. <table class="params">
  630. <tr><td class="paramname">x</td><td>A quaternion </td></tr>
  631. <tr><td class="paramname">y</td><td>A quaternion </td></tr>
  632. <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined beyond the range [0, 1]. </td></tr>
  633. </table>
  634. </dd>
  635. </dl>
  636. <dl class="tparams"><dt>Template Parameters</dt><dd>
  637. <table class="tparams">
  638. <tr><td class="paramname">T</td><td>Value type used to build the quaternion. Supported: half, float or double. </td></tr>
  639. </table>
  640. </dd>
  641. </dl>
  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>
  643. <dd>
  644. - slerp(tquat&lt;T, P&gt; const &amp; x, tquat&lt;T, P&gt; const &amp; y, T const &amp; a) </dd></dl>
  645. </div>
  646. </div>
  647. <a class="anchor" id="ga35b6bcb22ac6d1e4a85440f5b69bdf86"></a>
  648. <div class="memitem">
  649. <div class="memproto">
  650. <table class="memname">
  651. <tr>
  652. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::normalize </td>
  653. <td>(</td>
  654. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  655. <td class="paramname"><em>q</em></td><td>)</td>
  656. <td></td>
  657. </tr>
  658. </table>
  659. </div><div class="memdoc">
  660. <p>Returns the normalized quaternion. </p>
  661. <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>
  662. </div>
  663. </div>
  664. <a class="anchor" id="ga484c4633f7c05d8e29ee8b452350f539"></a>
  665. <div class="memitem">
  666. <div class="memproto">
  667. <table class="memname">
  668. <tr>
  669. <td class="memname">GLM_FUNC_DECL tvec4&lt;bool, P&gt; glm::notEqual </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>&#160;</td>
  679. </tr>
  680. <tr>
  681. <td></td>
  682. <td>)</td>
  683. <td></td><td></td>
  684. </tr>
  685. </table>
  686. </div><div class="memdoc">
  687. <p>Returns the component-wise comparison of result x != y. </p>
  688. <dl class="tparams"><dt>Template Parameters</dt><dd>
  689. <table class="tparams">
  690. <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
  691. </table>
  692. </dd>
  693. </dl>
  694. <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>
  695. </div>
  696. </div>
  697. <a class="anchor" id="ga2c08b93a4261c10748fd4d2104346f17"></a>
  698. <div class="memitem">
  699. <div class="memproto">
  700. <table class="memname">
  701. <tr>
  702. <td class="memname">GLM_FUNC_DECL T glm::pitch </td>
  703. <td>(</td>
  704. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  705. <td class="paramname"><em>x</em></td><td>)</td>
  706. <td></td>
  707. </tr>
  708. </table>
  709. </div><div class="memdoc">
  710. <p>Returns pitch value of euler angles expressed in radians. </p>
  711. <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>
  712. </div>
  713. </div>
  714. <a class="anchor" id="ga950f8acff3e33bbda77895a3dcb7e5ce"></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::quat_cast </td>
  720. <td>(</td>
  721. <td class="paramtype">tmat3x3&lt; T, P &gt; const &amp;&#160;</td>
  722. <td class="paramname"><em>x</em></td><td>)</td>
  723. <td></td>
  724. </tr>
  725. </table>
  726. </div><div class="memdoc">
  727. <p>Converts a 3 * 3 matrix to a 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. <p>Referenced by <a class="el" href="a00088_source.html#l00138">glm::toQuat()</a>.</p>
  730. </div>
  731. </div>
  732. <a class="anchor" id="ga3e4615e9884dd0f41f5617b9848a5d9c"></a>
  733. <div class="memitem">
  734. <div class="memproto">
  735. <table class="memname">
  736. <tr>
  737. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::quat_cast </td>
  738. <td>(</td>
  739. <td class="paramtype">tmat4x4&lt; T, P &gt; const &amp;&#160;</td>
  740. <td class="paramname"><em>x</em></td><td>)</td>
  741. <td></td>
  742. </tr>
  743. </table>
  744. </div><div class="memdoc">
  745. <p>Converts a 4 * 4 matrix to a quaternion. </p>
  746. <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>
  747. </div>
  748. </div>
  749. <a class="anchor" id="ga4fd705376c6c1fd667be0055a0ea58ec"></a>
  750. <div class="memitem">
  751. <div class="memproto">
  752. <table class="memname">
  753. <tr>
  754. <td class="memname">GLM_FUNC_DECL T glm::roll </td>
  755. <td>(</td>
  756. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  757. <td class="paramname"><em>x</em></td><td>)</td>
  758. <td></td>
  759. </tr>
  760. </table>
  761. </div><div class="memdoc">
  762. <p>Returns roll value of euler angles expressed in radians. </p>
  763. <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>
  764. </div>
  765. </div>
  766. <a class="anchor" id="gaa8f42979c921e450ff2812fb43c25702"></a>
  767. <div class="memitem">
  768. <div class="memproto">
  769. <table class="memname">
  770. <tr>
  771. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::rotate </td>
  772. <td>(</td>
  773. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  774. <td class="paramname"><em>q</em>, </td>
  775. </tr>
  776. <tr>
  777. <td class="paramkey"></td>
  778. <td></td>
  779. <td class="paramtype">T const &amp;&#160;</td>
  780. <td class="paramname"><em>angle</em>, </td>
  781. </tr>
  782. <tr>
  783. <td class="paramkey"></td>
  784. <td></td>
  785. <td class="paramtype">tvec3&lt; T, P &gt; const &amp;&#160;</td>
  786. <td class="paramname"><em>axis</em>&#160;</td>
  787. </tr>
  788. <tr>
  789. <td></td>
  790. <td>)</td>
  791. <td></td><td></td>
  792. </tr>
  793. </table>
  794. </div><div class="memdoc">
  795. <p>Rotates a quaternion from a vector of 3 components axis and an angle. </p>
  796. <dl class="params"><dt>Parameters</dt><dd>
  797. <table class="params">
  798. <tr><td class="paramname">q</td><td>Source orientation </td></tr>
  799. <tr><td class="paramname">angle</td><td>Angle expressed in radians. </td></tr>
  800. <tr><td class="paramname">axis</td><td>Axis of the rotation</td></tr>
  801. </table>
  802. </dd>
  803. </dl>
  804. <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>
  805. </div>
  806. </div>
  807. <a class="anchor" id="ga22b438c7252f3fa5b773c9882471652a"></a>
  808. <div class="memitem">
  809. <div class="memproto">
  810. <table class="memname">
  811. <tr>
  812. <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::slerp </td>
  813. <td>(</td>
  814. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  815. <td class="paramname"><em>x</em>, </td>
  816. </tr>
  817. <tr>
  818. <td class="paramkey"></td>
  819. <td></td>
  820. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  821. <td class="paramname"><em>y</em>, </td>
  822. </tr>
  823. <tr>
  824. <td class="paramkey"></td>
  825. <td></td>
  826. <td class="paramtype">T&#160;</td>
  827. <td class="paramname"><em>a</em>&#160;</td>
  828. </tr>
  829. <tr>
  830. <td></td>
  831. <td>)</td>
  832. <td></td><td></td>
  833. </tr>
  834. </table>
  835. </div><div class="memdoc">
  836. <p>Spherical linear interpolation of two quaternions. </p>
  837. <p>The interpolation always take the short path and the rotation is performed at constant speed.</p>
  838. <dl class="params"><dt>Parameters</dt><dd>
  839. <table class="params">
  840. <tr><td class="paramname">x</td><td>A quaternion </td></tr>
  841. <tr><td class="paramname">y</td><td>A quaternion </td></tr>
  842. <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined beyond the range [0, 1]. </td></tr>
  843. </table>
  844. </dd>
  845. </dl>
  846. <dl class="tparams"><dt>Template Parameters</dt><dd>
  847. <table class="tparams">
  848. <tr><td class="paramname">T</td><td>Value type used to build the quaternion. Supported: half, float or double. </td></tr>
  849. </table>
  850. </dd>
  851. </dl>
  852. <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>
  853. </div>
  854. </div>
  855. <a class="anchor" id="ga724a5df282b70cec0a6cb0d6dcddb6d6"></a>
  856. <div class="memitem">
  857. <div class="memproto">
  858. <table class="memname">
  859. <tr>
  860. <td class="memname">GLM_FUNC_DECL T glm::yaw </td>
  861. <td>(</td>
  862. <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
  863. <td class="paramname"><em>x</em></td><td>)</td>
  864. <td></td>
  865. </tr>
  866. </table>
  867. </div><div class="memdoc">
  868. <p>Returns yaw value of euler angles expressed in radians. </p>
  869. <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>
  870. </div>
  871. </div>
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