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  44. <div class="title">GLM_GTX_quaternion<div class="ingroups"><a class="el" href="a00165.html">GTX Extensions (Experimental)</a></div></div> </div>
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  49. Functions</h2></td></tr>
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  104. </table>
  105. <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
  106. <p>Extented quaternion types and functions. </p>
  107. <p>&lt;<a class="el" href="a00099.html" title="OpenGL Mathematics (glm.g-truc.net) ">glm/gtx/quaternion.hpp</a>&gt; need to be included to use these functionalities. </p>
  108. <h2 class="groupheader">Function Documentation</h2>
  109. <a class="anchor" id="ga305782d11382929e8d706d47a79334b8"></a>
  110. <div class="memitem">
  111. <div class="memproto">
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  113. <tr>
  114. <td class="memname">detail::tvec3&lt;T, P&gt; glm::cross </td>
  115. <td>(</td>
  116. <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
  117. <td class="paramname"><em>q</em>, </td>
  118. </tr>
  119. <tr>
  120. <td class="paramkey"></td>
  121. <td></td>
  122. <td class="paramtype">detail::tvec3&lt; T, P &gt; const &amp;&#160;</td>
  123. <td class="paramname"><em>v</em>&#160;</td>
  124. </tr>
  125. <tr>
  126. <td></td>
  127. <td>)</td>
  128. <td></td><td></td>
  129. </tr>
  130. </table>
  131. </div><div class="memdoc">
  132. <p>Compute a cross product between a quaternion and a vector. </p>
  133. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00222.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
  134. </div>
  135. </div>
  136. <a class="anchor" id="gafe2f2777869a22125fdc96a46365f2c1"></a>
  137. <div class="memitem">
  138. <div class="memproto">
  139. <table class="memname">
  140. <tr>
  141. <td class="memname">detail::tvec3&lt;T, P&gt; glm::cross </td>
  142. <td>(</td>
  143. <td class="paramtype">detail::tvec3&lt; T, P &gt; const &amp;&#160;</td>
  144. <td class="paramname"><em>v</em>, </td>
  145. </tr>
  146. <tr>
  147. <td class="paramkey"></td>
  148. <td></td>
  149. <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
  150. <td class="paramname"><em>q</em>&#160;</td>
  151. </tr>
  152. <tr>
  153. <td></td>
  154. <td>)</td>
  155. <td></td><td></td>
  156. </tr>
  157. </table>
  158. </div><div class="memdoc">
  159. <p>Compute a cross product between a vector and a quaternion. </p>
  160. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00222.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
  161. </div>
  162. </div>
  163. <a class="anchor" id="ga2e9f4b0480dd4e8a0f1be509979b2453"></a>
  164. <div class="memitem">
  165. <div class="memproto">
  166. <table class="memname">
  167. <tr>
  168. <td class="memname">detail::tquat&lt;T, P&gt; glm::exp </td>
  169. <td>(</td>
  170. <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
  171. <td class="paramname"><em>q</em></td><td>)</td>
  172. <td></td>
  173. </tr>
  174. </table>
  175. </div><div class="memdoc">
  176. <p>Returns a exp of a quaternion. </p>
  177. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00222.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
  178. </div>
  179. </div>
  180. <a class="anchor" id="gabad3e53891fb524593d321e0a94fe5b9"></a>
  181. <div class="memitem">
  182. <div class="memproto">
  183. <table class="memname">
  184. <tr>
  185. <td class="memname">T glm::extractRealComponent </td>
  186. <td>(</td>
  187. <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
  188. <td class="paramname"><em>q</em></td><td>)</td>
  189. <td></td>
  190. </tr>
  191. </table>
  192. </div><div class="memdoc">
  193. <p>Extract the real component of a quaternion. </p>
  194. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00222.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
  195. </div>
  196. </div>
  197. <a class="anchor" id="ga7c7a6ebde274fa1de72cb65cb8f2bed2"></a>
  198. <div class="memitem">
  199. <div class="memproto">
  200. <table class="memname">
  201. <tr>
  202. <td class="memname">detail::tquat&lt;T, P&gt; glm::fastMix </td>
  203. <td>(</td>
  204. <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
  205. <td class="paramname"><em>x</em>, </td>
  206. </tr>
  207. <tr>
  208. <td class="paramkey"></td>
  209. <td></td>
  210. <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
  211. <td class="paramname"><em>y</em>, </td>
  212. </tr>
  213. <tr>
  214. <td class="paramkey"></td>
  215. <td></td>
  216. <td class="paramtype">T const &amp;&#160;</td>
  217. <td class="paramname"><em>a</em>&#160;</td>
  218. </tr>
  219. <tr>
  220. <td></td>
  221. <td>)</td>
  222. <td></td><td></td>
  223. </tr>
  224. </table>
  225. </div><div class="memdoc">
  226. <p>Quaternion normalized linear interpolation. </p>
  227. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00222.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
  228. </div>
  229. </div>
  230. <a class="anchor" id="ga756698e0119b7b0aa408990c85ffe57a"></a>
  231. <div class="memitem">
  232. <div class="memproto">
  233. <table class="memname">
  234. <tr>
  235. <td class="memname">detail::tquat&lt;T, P&gt; glm::intermediate </td>
  236. <td>(</td>
  237. <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
  238. <td class="paramname"><em>prev</em>, </td>
  239. </tr>
  240. <tr>
  241. <td class="paramkey"></td>
  242. <td></td>
  243. <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
  244. <td class="paramname"><em>curr</em>, </td>
  245. </tr>
  246. <tr>
  247. <td class="paramkey"></td>
  248. <td></td>
  249. <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
  250. <td class="paramname"><em>next</em>&#160;</td>
  251. </tr>
  252. <tr>
  253. <td></td>
  254. <td>)</td>
  255. <td></td><td></td>
  256. </tr>
  257. </table>
  258. </div><div class="memdoc">
  259. <p>Returns an intermediate control point for squad interpolation. </p>
  260. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00222.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
  261. </div>
  262. </div>
  263. <a class="anchor" id="ga4f7ce3ef1faa13c3b00d6237bc5a7beb"></a>
  264. <div class="memitem">
  265. <div class="memproto">
  266. <table class="memname">
  267. <tr>
  268. <td class="memname">T glm::length2 </td>
  269. <td>(</td>
  270. <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
  271. <td class="paramname"><em>q</em></td><td>)</td>
  272. <td></td>
  273. </tr>
  274. </table>
  275. </div><div class="memdoc">
  276. <p>Returns the squared length of x. </p>
  277. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00222.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
  278. </div>
  279. </div>
  280. <a class="anchor" id="gaaa17243b80fcb1146b8ace31951fa122"></a>
  281. <div class="memitem">
  282. <div class="memproto">
  283. <table class="memname">
  284. <tr>
  285. <td class="memname">detail::tquat&lt;T, P&gt; glm::log </td>
  286. <td>(</td>
  287. <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
  288. <td class="paramname"><em>q</em></td><td>)</td>
  289. <td></td>
  290. </tr>
  291. </table>
  292. </div><div class="memdoc">
  293. <p>Returns a log of a quaternion. </p>
  294. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00222.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
  295. </div>
  296. </div>
  297. <a class="anchor" id="ga72607beec2c5c87915ac76234e6e1ef3"></a>
  298. <div class="memitem">
  299. <div class="memproto">
  300. <table class="memname">
  301. <tr>
  302. <td class="memname">detail::tquat&lt;T, P&gt; glm::pow </td>
  303. <td>(</td>
  304. <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
  305. <td class="paramname"><em>x</em>, </td>
  306. </tr>
  307. <tr>
  308. <td class="paramkey"></td>
  309. <td></td>
  310. <td class="paramtype">T const &amp;&#160;</td>
  311. <td class="paramname"><em>y</em>&#160;</td>
  312. </tr>
  313. <tr>
  314. <td></td>
  315. <td>)</td>
  316. <td></td><td></td>
  317. </tr>
  318. </table>
  319. </div><div class="memdoc">
  320. <p>Returns x raised to the y power. </p>
  321. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00222.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
  322. </div>
  323. </div>
  324. <a class="anchor" id="ga913d801901676be74696d84f212531ed"></a>
  325. <div class="memitem">
  326. <div class="memproto">
  327. <table class="memname">
  328. <tr>
  329. <td class="memname">detail::tvec3&lt;T, P&gt; glm::rotate </td>
  330. <td>(</td>
  331. <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
  332. <td class="paramname"><em>q</em>, </td>
  333. </tr>
  334. <tr>
  335. <td class="paramkey"></td>
  336. <td></td>
  337. <td class="paramtype">detail::tvec3&lt; T, P &gt; const &amp;&#160;</td>
  338. <td class="paramname"><em>v</em>&#160;</td>
  339. </tr>
  340. <tr>
  341. <td></td>
  342. <td>)</td>
  343. <td></td><td></td>
  344. </tr>
  345. </table>
  346. </div><div class="memdoc">
  347. <p>Returns quarternion square root. </p>
  348. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00222.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> Rotates a 3 components vector by a quaternion.</dd>
  349. <dd>
  350. <a class="el" href="a00222.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
  351. </div>
  352. </div>
  353. <a class="anchor" id="gab1124d48738fe4d23540388eba3e9c2d"></a>
  354. <div class="memitem">
  355. <div class="memproto">
  356. <table class="memname">
  357. <tr>
  358. <td class="memname">detail::tvec4&lt;T, P&gt; glm::rotate </td>
  359. <td>(</td>
  360. <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
  361. <td class="paramname"><em>q</em>, </td>
  362. </tr>
  363. <tr>
  364. <td class="paramkey"></td>
  365. <td></td>
  366. <td class="paramtype">detail::tvec4&lt; T, P &gt; const &amp;&#160;</td>
  367. <td class="paramname"><em>v</em>&#160;</td>
  368. </tr>
  369. <tr>
  370. <td></td>
  371. <td>)</td>
  372. <td></td><td></td>
  373. </tr>
  374. </table>
  375. </div><div class="memdoc">
  376. <p>Rotates a 4 components vector by a quaternion. </p>
  377. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00222.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
  378. </div>
  379. </div>
  380. <a class="anchor" id="gaac3f65ac2ca7ac7b22bf18d9f6fd4e6e"></a>
  381. <div class="memitem">
  382. <div class="memproto">
  383. <table class="memname">
  384. <tr>
  385. <td class="memname">detail::tquat&lt;T, P&gt; glm::rotation </td>
  386. <td>(</td>
  387. <td class="paramtype">detail::tvec3&lt; T, P &gt; const &amp;&#160;</td>
  388. <td class="paramname"><em>orig</em>, </td>
  389. </tr>
  390. <tr>
  391. <td class="paramkey"></td>
  392. <td></td>
  393. <td class="paramtype">detail::tvec3&lt; T, P &gt; const &amp;&#160;</td>
  394. <td class="paramname"><em>dest</em>&#160;</td>
  395. </tr>
  396. <tr>
  397. <td></td>
  398. <td>)</td>
  399. <td></td><td></td>
  400. </tr>
  401. </table>
  402. </div><div class="memdoc">
  403. <p>Compute the rotation between two vectors. </p>
  404. <p>param orig vector, needs to be normalized param dest vector, needs to be normalized</p>
  405. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00222.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
  406. </div>
  407. </div>
  408. <a class="anchor" id="gad8c24ad4e57f555ebb2c00a1fb11230b"></a>
  409. <div class="memitem">
  410. <div class="memproto">
  411. <table class="memname">
  412. <tr>
  413. <td class="memname">detail::tquat&lt;T, P&gt; glm::shortMix </td>
  414. <td>(</td>
  415. <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
  416. <td class="paramname"><em>x</em>, </td>
  417. </tr>
  418. <tr>
  419. <td class="paramkey"></td>
  420. <td></td>
  421. <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
  422. <td class="paramname"><em>y</em>, </td>
  423. </tr>
  424. <tr>
  425. <td class="paramkey"></td>
  426. <td></td>
  427. <td class="paramtype">T const &amp;&#160;</td>
  428. <td class="paramname"><em>a</em>&#160;</td>
  429. </tr>
  430. <tr>
  431. <td></td>
  432. <td>)</td>
  433. <td></td><td></td>
  434. </tr>
  435. </table>
  436. </div><div class="memdoc">
  437. <p>Quaternion interpolation using the rotation short path. </p>
  438. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00222.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
  439. </div>
  440. </div>
  441. <a class="anchor" id="ga520a86d7a47f0c987e7e1c4949558f80"></a>
  442. <div class="memitem">
  443. <div class="memproto">
  444. <table class="memname">
  445. <tr>
  446. <td class="memname">detail::tquat&lt;T, P&gt; glm::squad </td>
  447. <td>(</td>
  448. <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
  449. <td class="paramname"><em>q1</em>, </td>
  450. </tr>
  451. <tr>
  452. <td class="paramkey"></td>
  453. <td></td>
  454. <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
  455. <td class="paramname"><em>q2</em>, </td>
  456. </tr>
  457. <tr>
  458. <td class="paramkey"></td>
  459. <td></td>
  460. <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
  461. <td class="paramname"><em>s1</em>, </td>
  462. </tr>
  463. <tr>
  464. <td class="paramkey"></td>
  465. <td></td>
  466. <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
  467. <td class="paramname"><em>s2</em>, </td>
  468. </tr>
  469. <tr>
  470. <td class="paramkey"></td>
  471. <td></td>
  472. <td class="paramtype">T const &amp;&#160;</td>
  473. <td class="paramname"><em>h</em>&#160;</td>
  474. </tr>
  475. <tr>
  476. <td></td>
  477. <td>)</td>
  478. <td></td><td></td>
  479. </tr>
  480. </table>
  481. </div><div class="memdoc">
  482. <p>Compute a point on a path according squad equation. </p>
  483. <p>q1 and q2 are control points; s1 and s2 are intermediate control points.</p>
  484. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00222.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
  485. </div>
  486. </div>
  487. <a class="anchor" id="ga28c762d44cbd532b8fa256c12bbc80d2"></a>
  488. <div class="memitem">
  489. <div class="memproto">
  490. <table class="memname">
  491. <tr>
  492. <td class="memname">detail::tmat3x3&lt;T, P&gt; glm::toMat3 </td>
  493. <td>(</td>
  494. <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
  495. <td class="paramname"><em>x</em></td><td>)</td>
  496. <td></td>
  497. </tr>
  498. </table>
  499. </div><div class="memdoc">
  500. <p>Converts a quaternion to a 3 * 3 matrix. </p>
  501. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00222.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
  502. <p>Definition at line <a class="el" href="a00099_source.html#l00150">150</a> of file <a class="el" href="a00099_source.html">gtx/quaternion.hpp</a>.</p>
  503. <p>References <a class="el" href="a00179.html#ga65257c3494022ad80a50ce11da95049d">glm::mat3_cast()</a>.</p>
  504. </div>
  505. </div>
  506. <a class="anchor" id="ga9f5ed797b672be7f87648c542ddd71d9"></a>
  507. <div class="memitem">
  508. <div class="memproto">
  509. <table class="memname">
  510. <tr>
  511. <td class="memname">detail::tmat4x4&lt;T, P&gt; glm::toMat4 </td>
  512. <td>(</td>
  513. <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
  514. <td class="paramname"><em>x</em></td><td>)</td>
  515. <td></td>
  516. </tr>
  517. </table>
  518. </div><div class="memdoc">
  519. <p>Converts a quaternion to a 4 * 4 matrix. </p>
  520. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00222.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
  521. <p>Definition at line <a class="el" href="a00099_source.html#l00157">157</a> of file <a class="el" href="a00099_source.html">gtx/quaternion.hpp</a>.</p>
  522. <p>References <a class="el" href="a00179.html#gafc4e34c836f7ccb5f3bb2a0373c831e0">glm::mat4_cast()</a>.</p>
  523. </div>
  524. </div>
  525. <a class="anchor" id="ga7e07dad45836ac90c218a73b6310e9dc"></a>
  526. <div class="memitem">
  527. <div class="memproto">
  528. <table class="memname">
  529. <tr>
  530. <td class="memname">detail::tquat&lt;T, P&gt; glm::toQuat </td>
  531. <td>(</td>
  532. <td class="paramtype">detail::tmat3x3&lt; T, P &gt; const &amp;&#160;</td>
  533. <td class="paramname"><em>x</em></td><td>)</td>
  534. <td></td>
  535. </tr>
  536. </table>
  537. </div><div class="memdoc">
  538. <p>Converts a 3 * 3 matrix to a quaternion. </p>
  539. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00222.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
  540. <p>Definition at line <a class="el" href="a00099_source.html#l00164">164</a> of file <a class="el" href="a00099_source.html">gtx/quaternion.hpp</a>.</p>
  541. <p>References <a class="el" href="a00179.html#gafb826745dedb1760100bbd25d0f63fde">glm::quat_cast()</a>.</p>
  542. </div>
  543. </div>
  544. <a class="anchor" id="ga02d70b959b5ec6b4c318dce5f9f179f6"></a>
  545. <div class="memitem">
  546. <div class="memproto">
  547. <table class="memname">
  548. <tr>
  549. <td class="memname">detail::tquat&lt;T, P&gt; glm::toQuat </td>
  550. <td>(</td>
  551. <td class="paramtype">detail::tmat4x4&lt; T, P &gt; const &amp;&#160;</td>
  552. <td class="paramname"><em>x</em></td><td>)</td>
  553. <td></td>
  554. </tr>
  555. </table>
  556. </div><div class="memdoc">
  557. <p>Converts a 4 * 4 matrix to a quaternion. </p>
  558. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00222.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
  559. <p>Definition at line <a class="el" href="a00099_source.html#l00171">171</a> of file <a class="el" href="a00099_source.html">gtx/quaternion.hpp</a>.</p>
  560. <p>References <a class="el" href="a00179.html#gafb826745dedb1760100bbd25d0f63fde">glm::quat_cast()</a>.</p>
  561. </div>
  562. </div>
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