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  34. <div class="header">
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  36. <a href="#func-members">Functions</a> </div>
  37. <div class="headertitle">
  38. <div class="title">GLM_GTX_quaternion</div> </div>
  39. <div class="ingroups"><a class="el" href="a00139.html">GTX Extensions (Experimental)</a></div></div><!--header-->
  40. <div class="contents">
  41. <table class="memberdecls">
  42. <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
  43. Functions</h2></td></tr>
  44. <tr class="memitem:ga57df84905f34b0d884ff5e2ac9a4d776"><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
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  92. </table>
  93. <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
  94. <p>Extented quaternion types and functions. </p>
  95. <p>&lt;<a class="el" href="a00077.html" title="OpenGL Mathematics (glm.g-truc.net)">glm/gtx/quaternion.hpp</a>&gt; need to be included to use these functionalities. </p>
  96. <h2 class="groupheader">Function Documentation</h2>
  97. <a class="anchor" id="ga57df84905f34b0d884ff5e2ac9a4d776"></a>
  98. <div class="memitem">
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  101. <tr>
  102. <td class="memname">detail::tvec3&lt;valType&gt; glm::cross </td>
  103. <td>(</td>
  104. <td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
  105. <td class="paramname"><em>q</em>, </td>
  106. </tr>
  107. <tr>
  108. <td class="paramkey"></td>
  109. <td></td>
  110. <td class="paramtype">detail::tvec3&lt; valType &gt; const &amp;&#160;</td>
  111. <td class="paramname"><em>v</em>&#160;</td>
  112. </tr>
  113. <tr>
  114. <td></td>
  115. <td>)</td>
  116. <td></td><td></td>
  117. </tr>
  118. </table>
  119. </div><div class="memdoc">
  120. <p>Compute a cross product between a quaternion and a vector. </p>
  121. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00198.html" title="Extented quaternion types and functions.">GLM_GTX_quaternion</a> </dd></dl>
  122. </div>
  123. </div>
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  129. <td class="memname">detail::tvec3&lt;valType&gt; glm::cross </td>
  130. <td>(</td>
  131. <td class="paramtype">detail::tvec3&lt; valType &gt; const &amp;&#160;</td>
  132. <td class="paramname"><em>v</em>, </td>
  133. </tr>
  134. <tr>
  135. <td class="paramkey"></td>
  136. <td></td>
  137. <td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
  138. <td class="paramname"><em>q</em>&#160;</td>
  139. </tr>
  140. <tr>
  141. <td></td>
  142. <td>)</td>
  143. <td></td><td></td>
  144. </tr>
  145. </table>
  146. </div><div class="memdoc">
  147. <p>Compute a cross product between a vector and a quaternion. </p>
  148. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00198.html" title="Extented quaternion types and functions.">GLM_GTX_quaternion</a> </dd></dl>
  149. </div>
  150. </div>
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  156. <td class="memname">detail::tquat&lt;valType&gt; glm::exp </td>
  157. <td>(</td>
  158. <td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
  159. <td class="paramname"><em>q</em>, </td>
  160. </tr>
  161. <tr>
  162. <td class="paramkey"></td>
  163. <td></td>
  164. <td class="paramtype">valType const &amp;&#160;</td>
  165. <td class="paramname"><em>exponent</em>&#160;</td>
  166. </tr>
  167. <tr>
  168. <td></td>
  169. <td>)</td>
  170. <td></td><td></td>
  171. </tr>
  172. </table>
  173. </div><div class="memdoc">
  174. <p>Returns a exp of a quaternion. </p>
  175. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00198.html" title="Extented quaternion types and functions.">GLM_GTX_quaternion</a> </dd></dl>
  176. </div>
  177. </div>
  178. <a class="anchor" id="gaa4574d2111d8c55c0e5c531706c0e20d"></a>
  179. <div class="memitem">
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  183. <td class="memname">valType glm::extractRealComponent </td>
  184. <td>(</td>
  185. <td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
  186. <td class="paramname"><em>q</em></td><td>)</td>
  187. <td></td>
  188. </tr>
  189. </table>
  190. </div><div class="memdoc">
  191. <p>Extract the real component of a quaternion. </p>
  192. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00198.html" title="Extented quaternion types and functions.">GLM_GTX_quaternion</a> </dd></dl>
  193. </div>
  194. </div>
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  196. <div class="memitem">
  197. <div class="memproto">
  198. <table class="memname">
  199. <tr>
  200. <td class="memname">detail::tquat&lt;T&gt; glm::fastMix </td>
  201. <td>(</td>
  202. <td class="paramtype">detail::tquat&lt; T &gt; const &amp;&#160;</td>
  203. <td class="paramname"><em>x</em>, </td>
  204. </tr>
  205. <tr>
  206. <td class="paramkey"></td>
  207. <td></td>
  208. <td class="paramtype">detail::tquat&lt; T &gt; const &amp;&#160;</td>
  209. <td class="paramname"><em>y</em>, </td>
  210. </tr>
  211. <tr>
  212. <td class="paramkey"></td>
  213. <td></td>
  214. <td class="paramtype">T const &amp;&#160;</td>
  215. <td class="paramname"><em>a</em>&#160;</td>
  216. </tr>
  217. <tr>
  218. <td></td>
  219. <td>)</td>
  220. <td></td><td></td>
  221. </tr>
  222. </table>
  223. </div><div class="memdoc">
  224. <p>Quaternion normalized linear interpolation. </p>
  225. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00198.html" title="Extented quaternion types and functions.">GLM_GTX_quaternion</a> </dd></dl>
  226. </div>
  227. </div>
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  232. <tr>
  233. <td class="memname">detail::tquat&lt;valType&gt; glm::intermediate </td>
  234. <td>(</td>
  235. <td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
  236. <td class="paramname"><em>prev</em>, </td>
  237. </tr>
  238. <tr>
  239. <td class="paramkey"></td>
  240. <td></td>
  241. <td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
  242. <td class="paramname"><em>curr</em>, </td>
  243. </tr>
  244. <tr>
  245. <td class="paramkey"></td>
  246. <td></td>
  247. <td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
  248. <td class="paramname"><em>next</em>&#160;</td>
  249. </tr>
  250. <tr>
  251. <td></td>
  252. <td>)</td>
  253. <td></td><td></td>
  254. </tr>
  255. </table>
  256. </div><div class="memdoc">
  257. <p>Returns an intermediate control point for squad interpolation. </p>
  258. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00198.html" title="Extented quaternion types and functions.">GLM_GTX_quaternion</a> </dd></dl>
  259. </div>
  260. </div>
  261. <a class="anchor" id="ga68d8d03cc87b3980abec4d80534f3d8e"></a>
  262. <div class="memitem">
  263. <div class="memproto">
  264. <table class="memname">
  265. <tr>
  266. <td class="memname">detail::tquat&lt;valType&gt; glm::log </td>
  267. <td>(</td>
  268. <td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
  269. <td class="paramname"><em>q</em></td><td>)</td>
  270. <td></td>
  271. </tr>
  272. </table>
  273. </div><div class="memdoc">
  274. <p>Returns a log of a quaternion. </p>
  275. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00198.html" title="Extented quaternion types and functions.">GLM_GTX_quaternion</a> </dd></dl>
  276. </div>
  277. </div>
  278. <a class="anchor" id="ga7765f7d8a3399af25f8bc7956a77c7b2"></a>
  279. <div class="memitem">
  280. <div class="memproto">
  281. <table class="memname">
  282. <tr>
  283. <td class="memname">detail::tquat&lt;valType&gt; glm::pow </td>
  284. <td>(</td>
  285. <td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
  286. <td class="paramname"><em>x</em>, </td>
  287. </tr>
  288. <tr>
  289. <td class="paramkey"></td>
  290. <td></td>
  291. <td class="paramtype">valType const &amp;&#160;</td>
  292. <td class="paramname"><em>y</em>&#160;</td>
  293. </tr>
  294. <tr>
  295. <td></td>
  296. <td>)</td>
  297. <td></td><td></td>
  298. </tr>
  299. </table>
  300. </div><div class="memdoc">
  301. <p>Returns x raised to the y power. </p>
  302. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00198.html" title="Extented quaternion types and functions.">GLM_GTX_quaternion</a> </dd></dl>
  303. </div>
  304. </div>
  305. <a class="anchor" id="gad1ada3be83514169fed6054b4e68b5ca"></a>
  306. <div class="memitem">
  307. <div class="memproto">
  308. <table class="memname">
  309. <tr>
  310. <td class="memname">detail::tvec3&lt;valType&gt; glm::rotate </td>
  311. <td>(</td>
  312. <td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
  313. <td class="paramname"><em>q</em>, </td>
  314. </tr>
  315. <tr>
  316. <td class="paramkey"></td>
  317. <td></td>
  318. <td class="paramtype">detail::tvec3&lt; valType &gt; const &amp;&#160;</td>
  319. <td class="paramname"><em>v</em>&#160;</td>
  320. </tr>
  321. <tr>
  322. <td></td>
  323. <td>)</td>
  324. <td></td><td></td>
  325. </tr>
  326. </table>
  327. </div><div class="memdoc">
  328. <p>Returns quarternion square root. </p>
  329. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00198.html" title="Extented quaternion types and functions.">GLM_GTX_quaternion</a> Rotates a 3 components vector by a quaternion.</dd>
  330. <dd>
  331. <a class="el" href="a00198.html" title="Extented quaternion types and functions.">GLM_GTX_quaternion</a> </dd></dl>
  332. </div>
  333. </div>
  334. <a class="anchor" id="ga765b903facf3c4e325cab32cba75d9be"></a>
  335. <div class="memitem">
  336. <div class="memproto">
  337. <table class="memname">
  338. <tr>
  339. <td class="memname">detail::tvec4&lt;valType&gt; glm::rotate </td>
  340. <td>(</td>
  341. <td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
  342. <td class="paramname"><em>q</em>, </td>
  343. </tr>
  344. <tr>
  345. <td class="paramkey"></td>
  346. <td></td>
  347. <td class="paramtype">detail::tvec4&lt; valType &gt; const &amp;&#160;</td>
  348. <td class="paramname"><em>v</em>&#160;</td>
  349. </tr>
  350. <tr>
  351. <td></td>
  352. <td>)</td>
  353. <td></td><td></td>
  354. </tr>
  355. </table>
  356. </div><div class="memdoc">
  357. <p>Rotates a 4 components vector by a quaternion. </p>
  358. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00198.html" title="Extented quaternion types and functions.">GLM_GTX_quaternion</a> </dd></dl>
  359. </div>
  360. </div>
  361. <a class="anchor" id="gae2cb4ac4676a57fb6db64aa515e608ab"></a>
  362. <div class="memitem">
  363. <div class="memproto">
  364. <table class="memname">
  365. <tr>
  366. <td class="memname">detail::tquat&lt;T&gt; glm::shortMix </td>
  367. <td>(</td>
  368. <td class="paramtype">detail::tquat&lt; T &gt; const &amp;&#160;</td>
  369. <td class="paramname"><em>x</em>, </td>
  370. </tr>
  371. <tr>
  372. <td class="paramkey"></td>
  373. <td></td>
  374. <td class="paramtype">detail::tquat&lt; T &gt; const &amp;&#160;</td>
  375. <td class="paramname"><em>y</em>, </td>
  376. </tr>
  377. <tr>
  378. <td class="paramkey"></td>
  379. <td></td>
  380. <td class="paramtype">T const &amp;&#160;</td>
  381. <td class="paramname"><em>a</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>Quaternion interpolation using the rotation short path. </p>
  391. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00198.html" title="Extented quaternion types and functions.">GLM_GTX_quaternion</a> </dd></dl>
  392. </div>
  393. </div>
  394. <a class="anchor" id="ga3e9e70938d0e5528edddadb175f8eda4"></a>
  395. <div class="memitem">
  396. <div class="memproto">
  397. <table class="memname">
  398. <tr>
  399. <td class="memname">detail::tquat&lt;valType&gt; glm::squad </td>
  400. <td>(</td>
  401. <td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
  402. <td class="paramname"><em>q1</em>, </td>
  403. </tr>
  404. <tr>
  405. <td class="paramkey"></td>
  406. <td></td>
  407. <td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
  408. <td class="paramname"><em>q2</em>, </td>
  409. </tr>
  410. <tr>
  411. <td class="paramkey"></td>
  412. <td></td>
  413. <td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
  414. <td class="paramname"><em>s1</em>, </td>
  415. </tr>
  416. <tr>
  417. <td class="paramkey"></td>
  418. <td></td>
  419. <td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
  420. <td class="paramname"><em>s2</em>, </td>
  421. </tr>
  422. <tr>
  423. <td class="paramkey"></td>
  424. <td></td>
  425. <td class="paramtype">valType const &amp;&#160;</td>
  426. <td class="paramname"><em>h</em>&#160;</td>
  427. </tr>
  428. <tr>
  429. <td></td>
  430. <td>)</td>
  431. <td></td><td></td>
  432. </tr>
  433. </table>
  434. </div><div class="memdoc">
  435. <p>Compute a point on a path according squad equation. </p>
  436. <p>q1 and q2 are control points; s1 and s2 are intermediate control points.</p>
  437. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00198.html" title="Extented quaternion types and functions.">GLM_GTX_quaternion</a> </dd></dl>
  438. </div>
  439. </div>
  440. <a class="anchor" id="gaae1a23ba337628402dbe68d6567a9444"></a>
  441. <div class="memitem">
  442. <div class="memproto">
  443. <table class="memname">
  444. <tr>
  445. <td class="memname">detail::tmat3x3&lt;valType&gt; glm::toMat3 </td>
  446. <td>(</td>
  447. <td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
  448. <td class="paramname"><em>x</em></td><td>)</td>
  449. <td></td>
  450. </tr>
  451. </table>
  452. </div><div class="memdoc">
  453. <p>Converts a quaternion to a 3 * 3 matrix. </p>
  454. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00198.html" title="Extented quaternion types and functions.">GLM_GTX_quaternion</a> </dd></dl>
  455. <p>Definition at line <a class="el" href="a00077_source.html#l00149">149</a> of file <a class="el" href="a00077_source.html">gtx/quaternion.hpp</a>.</p>
  456. <p>References <a class="el" href="a00153.html#gae04ce320008c9bec0037b4ba21853cb5">glm::mat3_cast()</a>.</p>
  457. </div>
  458. </div>
  459. <a class="anchor" id="ga14c3426d79fe82b07cd1f3610a18d9f5"></a>
  460. <div class="memitem">
  461. <div class="memproto">
  462. <table class="memname">
  463. <tr>
  464. <td class="memname">detail::tmat4x4&lt;valType&gt; glm::toMat4 </td>
  465. <td>(</td>
  466. <td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
  467. <td class="paramname"><em>x</em></td><td>)</td>
  468. <td></td>
  469. </tr>
  470. </table>
  471. </div><div class="memdoc">
  472. <p>Converts a quaternion to a 4 * 4 matrix. </p>
  473. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00198.html" title="Extented quaternion types and functions.">GLM_GTX_quaternion</a> </dd></dl>
  474. <p>Definition at line <a class="el" href="a00077_source.html#l00156">156</a> of file <a class="el" href="a00077_source.html">gtx/quaternion.hpp</a>.</p>
  475. <p>References <a class="el" href="a00153.html#ga8c376eb15971eb52d85df5ee26825627">glm::mat4_cast()</a>.</p>
  476. </div>
  477. </div>
  478. <a class="anchor" id="ga70cb5b2da64a17632dbf151dcfec0150"></a>
  479. <div class="memitem">
  480. <div class="memproto">
  481. <table class="memname">
  482. <tr>
  483. <td class="memname">detail::tquat&lt;valType&gt; glm::toQuat </td>
  484. <td>(</td>
  485. <td class="paramtype">detail::tmat3x3&lt; valType &gt; const &amp;&#160;</td>
  486. <td class="paramname"><em>x</em></td><td>)</td>
  487. <td></td>
  488. </tr>
  489. </table>
  490. </div><div class="memdoc">
  491. <p>Converts a 3 * 3 matrix to a quaternion. </p>
  492. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00198.html" title="Extented quaternion types and functions.">GLM_GTX_quaternion</a> </dd></dl>
  493. <p>Definition at line <a class="el" href="a00077_source.html#l00163">163</a> of file <a class="el" href="a00077_source.html">gtx/quaternion.hpp</a>.</p>
  494. <p>References <a class="el" href="a00153.html#ga4d37447d81ceade1d10d68c995a4d881">glm::quat_cast()</a>.</p>
  495. </div>
  496. </div>
  497. <a class="anchor" id="ga25b6237ccb6c4a69d57a181aac99aa43"></a>
  498. <div class="memitem">
  499. <div class="memproto">
  500. <table class="memname">
  501. <tr>
  502. <td class="memname">detail::tquat&lt;valType&gt; glm::toQuat </td>
  503. <td>(</td>
  504. <td class="paramtype">detail::tmat4x4&lt; valType &gt; const &amp;&#160;</td>
  505. <td class="paramname"><em>x</em></td><td>)</td>
  506. <td></td>
  507. </tr>
  508. </table>
  509. </div><div class="memdoc">
  510. <p>Converts a 4 * 4 matrix to a quaternion. </p>
  511. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00198.html" title="Extented quaternion types and functions.">GLM_GTX_quaternion</a> </dd></dl>
  512. <p>Definition at line <a class="el" href="a00077_source.html#l00170">170</a> of file <a class="el" href="a00077_source.html">gtx/quaternion.hpp</a>.</p>
  513. <p>References <a class="el" href="a00153.html#ga4d37447d81ceade1d10d68c995a4d881">glm::quat_cast()</a>.</p>
  514. </div>
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