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  36. <a href="#typedef-members">Typedefs</a> &#124;
  37. <a href="#func-members">Functions</a> </div>
  38. <div class="headertitle">
  39. <div class="title">GLM_GTC_quaternion</div> </div>
  40. <div class="ingroups"><a class="el" href="a00138.html">GTC Extensions (Stable)</a></div></div><!--header-->
  41. <div class="contents">
  42. <table class="memberdecls">
  43. <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="typedef-members"></a>
  44. Typedefs</h2></td></tr>
  45. <tr class="memitem:ga5428321324094c7170d6133c8139d255"><td class="memItemLeft" align="right" valign="top">typedef detail::tquat&lt; double &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00153.html#ga5428321324094c7170d6133c8139d255">dquat</a></td></tr>
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  47. <tr class="memitem:gaae07c293efbe1c530ff18044a15fe662"><td class="memItemLeft" align="right" valign="top">typedef detail::tquat&lt; float &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00153.html#gaae07c293efbe1c530ff18044a15fe662">fquat</a></td></tr>
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  49. <tr class="memitem:ga8a7c2c751ad30db9ec4268a6b7d99f6c"><td class="memItemLeft" align="right" valign="top">typedef detail::tquat<br class="typebreak"/>
  50. &lt; highp_float &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00153.html#ga8a7c2c751ad30db9ec4268a6b7d99f6c">highp_quat</a></td></tr>
  51. <tr class="separator:ga8a7c2c751ad30db9ec4268a6b7d99f6c"><td class="memSeparator" colspan="2">&#160;</td></tr>
  52. <tr class="memitem:gaba1bbdeae84c942ce0dc83af40e1d7d3"><td class="memItemLeft" align="right" valign="top">typedef detail::tquat<br class="typebreak"/>
  53. &lt; detail::half &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00153.html#gaba1bbdeae84c942ce0dc83af40e1d7d3">hquat</a></td></tr>
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  55. <tr class="memitem:ga5acd0f3e9f9e3c0e6577440443ec4594"><td class="memItemLeft" align="right" valign="top">typedef detail::tquat&lt; lowp_float &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00153.html#ga5acd0f3e9f9e3c0e6577440443ec4594">lowp_quat</a></td></tr>
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  57. <tr class="memitem:gae93fe73ea5fe5e2150c2eb0641394dc8"><td class="memItemLeft" align="right" valign="top">typedef detail::tquat<br class="typebreak"/>
  58. &lt; mediump_float &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00153.html#gae93fe73ea5fe5e2150c2eb0641394dc8">mediump_quat</a></td></tr>
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  60. <tr class="memitem:ga60408579db470456070a3336295625a7"><td class="memItemLeft" align="right" valign="top">typedef detail::tquat&lt; float &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00153.html#ga60408579db470456070a3336295625a7">quat</a></td></tr>
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  64. Functions</h2></td></tr>
  65. <tr class="memitem:ga69041d18bd8539fe82d6170932d28362"><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
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  77. <tr class="memitem:ga8b6594dffb8bf455d848ffa2169ba41d"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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  104. <tr class="memitem:gabd269bb967469a6f1df5963455fee6be"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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  107. <tr class="memitem:gaf2a0323dbf6c6fb3f37b445aa899c1c7"><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
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  113. <tr class="memitem:ga24adafe33b0bcad906c8724a762e5299"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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  123. <tr class="memitem:ga4acb60c1b472fc6cb5322a63ca1cf9a4"><td class="memTemplItemLeft" align="right" valign="top">detail::tquat&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00153.html#ga4acb60c1b472fc6cb5322a63ca1cf9a4">slerp</a> (detail::tquat&lt; T &gt; const &amp;x, detail::tquat&lt; T &gt; const &amp;y, T const &amp;a)</td></tr>
  124. <tr class="separator:ga4acb60c1b472fc6cb5322a63ca1cf9a4"><td class="memSeparator" colspan="2">&#160;</td></tr>
  125. <tr class="memitem:gaac012c1a6bc37ce07a87745d9c596eed"><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
  126. <tr class="memitem:gaac012c1a6bc37ce07a87745d9c596eed"><td class="memTemplItemLeft" align="right" valign="top">valType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00153.html#gaac012c1a6bc37ce07a87745d9c596eed">yaw</a> (detail::tquat&lt; valType &gt; const &amp;x)</td></tr>
  127. <tr class="separator:gaac012c1a6bc37ce07a87745d9c596eed"><td class="memSeparator" colspan="2">&#160;</td></tr>
  128. </table>
  129. <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
  130. <p>Defines a templated quaternion type and several quaternion operations. </p>
  131. <p>&lt;<a class="el" href="a00076.html" title="OpenGL Mathematics (glm.g-truc.net)">glm/gtc/quaternion.hpp</a>&gt; need to be included to use these functionalities. </p>
  132. <h2 class="groupheader">Typedef Documentation</h2>
  133. <a class="anchor" id="ga5428321324094c7170d6133c8139d255"></a>
  134. <div class="memitem">
  135. <div class="memproto">
  136. <table class="memname">
  137. <tr>
  138. <td class="memname">typedef detail::tquat&lt;double&gt; dquat</td>
  139. </tr>
  140. </table>
  141. </div><div class="memdoc">
  142. <p>Quaternion of double-precision floating-point numbers. </p>
  143. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion</a> </dd></dl>
  144. <p>Definition at line <a class="el" href="a00076_source.html#l00359">359</a> of file <a class="el" href="a00076_source.html">gtc/quaternion.hpp</a>.</p>
  145. </div>
  146. </div>
  147. <a class="anchor" id="gaae07c293efbe1c530ff18044a15fe662"></a>
  148. <div class="memitem">
  149. <div class="memproto">
  150. <table class="memname">
  151. <tr>
  152. <td class="memname">typedef detail::tquat&lt;float&gt; fquat</td>
  153. </tr>
  154. </table>
  155. </div><div class="memdoc">
  156. <p>Quaternion of single-precision floating-point numbers. </p>
  157. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion</a> </dd></dl>
  158. <p>Definition at line <a class="el" href="a00076_source.html#l00354">354</a> of file <a class="el" href="a00076_source.html">gtc/quaternion.hpp</a>.</p>
  159. </div>
  160. </div>
  161. <a class="anchor" id="ga8a7c2c751ad30db9ec4268a6b7d99f6c"></a>
  162. <div class="memitem">
  163. <div class="memproto">
  164. <table class="memname">
  165. <tr>
  166. <td class="memname">typedef detail::tquat&lt;highp_float&gt; highp_quat</td>
  167. </tr>
  168. </table>
  169. </div><div class="memdoc">
  170. <p>Quaternion of high precision floating-point numbers. </p>
  171. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion</a> </dd></dl>
  172. <p>Definition at line <a class="el" href="a00076_source.html#l00374">374</a> of file <a class="el" href="a00076_source.html">gtc/quaternion.hpp</a>.</p>
  173. </div>
  174. </div>
  175. <a class="anchor" id="gaba1bbdeae84c942ce0dc83af40e1d7d3"></a>
  176. <div class="memitem">
  177. <div class="memproto">
  178. <table class="memname">
  179. <tr>
  180. <td class="memname">typedef detail::tquat&lt;detail::half&gt; hquat</td>
  181. </tr>
  182. </table>
  183. </div><div class="memdoc">
  184. <p>Quaternion of half-precision floating-point numbers. </p>
  185. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion</a> </dd></dl>
  186. <p>Definition at line <a class="el" href="a00076_source.html#l00349">349</a> of file <a class="el" href="a00076_source.html">gtc/quaternion.hpp</a>.</p>
  187. </div>
  188. </div>
  189. <a class="anchor" id="ga5acd0f3e9f9e3c0e6577440443ec4594"></a>
  190. <div class="memitem">
  191. <div class="memproto">
  192. <table class="memname">
  193. <tr>
  194. <td class="memname">typedef detail::tquat&lt;lowp_float&gt; lowp_quat</td>
  195. </tr>
  196. </table>
  197. </div><div class="memdoc">
  198. <p>Quaternion of low precision floating-point numbers. </p>
  199. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion</a> </dd></dl>
  200. <p>Definition at line <a class="el" href="a00076_source.html#l00364">364</a> of file <a class="el" href="a00076_source.html">gtc/quaternion.hpp</a>.</p>
  201. </div>
  202. </div>
  203. <a class="anchor" id="gae93fe73ea5fe5e2150c2eb0641394dc8"></a>
  204. <div class="memitem">
  205. <div class="memproto">
  206. <table class="memname">
  207. <tr>
  208. <td class="memname">typedef detail::tquat&lt;mediump_float&gt; mediump_quat</td>
  209. </tr>
  210. </table>
  211. </div><div class="memdoc">
  212. <p>Quaternion of medium precision floating-point numbers. </p>
  213. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion</a> </dd></dl>
  214. <p>Definition at line <a class="el" href="a00076_source.html#l00369">369</a> of file <a class="el" href="a00076_source.html">gtc/quaternion.hpp</a>.</p>
  215. </div>
  216. </div>
  217. <a class="anchor" id="ga60408579db470456070a3336295625a7"></a>
  218. <div class="memitem">
  219. <div class="memproto">
  220. <table class="memname">
  221. <tr>
  222. <td class="memname">typedef detail::tquat&lt;float&gt; quat</td>
  223. </tr>
  224. </table>
  225. </div><div class="memdoc">
  226. <p>Quaternion of floating-point numbers. </p>
  227. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion</a> </dd></dl>
  228. <p>Definition at line <a class="el" href="a00076_source.html#l00344">344</a> of file <a class="el" href="a00076_source.html">gtc/quaternion.hpp</a>.</p>
  229. </div>
  230. </div>
  231. <h2 class="groupheader">Function Documentation</h2>
  232. <a class="anchor" id="ga69041d18bd8539fe82d6170932d28362"></a>
  233. <div class="memitem">
  234. <div class="memproto">
  235. <table class="memname">
  236. <tr>
  237. <td class="memname">valType glm::angle </td>
  238. <td>(</td>
  239. <td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
  240. <td class="paramname"><em>x</em></td><td>)</td>
  241. <td></td>
  242. </tr>
  243. </table>
  244. </div><div class="memdoc">
  245. <p>Returns the quaternion rotation angle. </p>
  246. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.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="gaafc03953867e42a39dc08575ad4532ad"></a>
  250. <div class="memitem">
  251. <div class="memproto">
  252. <table class="memname">
  253. <tr>
  254. <td class="memname">detail::tquat&lt;valType&gt; glm::angleAxis </td>
  255. <td>(</td>
  256. <td class="paramtype">valType const &amp;&#160;</td>
  257. <td class="paramname"><em>angle</em>, </td>
  258. </tr>
  259. <tr>
  260. <td class="paramkey"></td>
  261. <td></td>
  262. <td class="paramtype">valType const &amp;&#160;</td>
  263. <td class="paramname"><em>x</em>, </td>
  264. </tr>
  265. <tr>
  266. <td class="paramkey"></td>
  267. <td></td>
  268. <td class="paramtype">valType const &amp;&#160;</td>
  269. <td class="paramname"><em>y</em>, </td>
  270. </tr>
  271. <tr>
  272. <td class="paramkey"></td>
  273. <td></td>
  274. <td class="paramtype">valType const &amp;&#160;</td>
  275. <td class="paramname"><em>z</em>&#160;</td>
  276. </tr>
  277. <tr>
  278. <td></td>
  279. <td>)</td>
  280. <td></td><td></td>
  281. </tr>
  282. </table>
  283. </div><div class="memdoc">
  284. <p>Build a quaternion from an angle and a normalized axis. </p>
  285. <dl class="params"><dt>Parameters</dt><dd>
  286. <table class="params">
  287. <tr><td class="paramname">angle</td><td>Angle expressed in radians if GLM_FORCE_RADIANS is define or degrees otherwise. </td></tr>
  288. <tr><td class="paramname">x</td><td>x component of the x-axis, x, y, z must be a normalized axis </td></tr>
  289. <tr><td class="paramname">y</td><td>y component of the y-axis, x, y, z must be a normalized axis </td></tr>
  290. <tr><td class="paramname">z</td><td>z component of the z-axis, x, y, z must be a normalized axis</td></tr>
  291. </table>
  292. </dd>
  293. </dl>
  294. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion</a> </dd></dl>
  295. </div>
  296. </div>
  297. <a class="anchor" id="ga30071b5b9773087b7212a5ce67d0d90a"></a>
  298. <div class="memitem">
  299. <div class="memproto">
  300. <table class="memname">
  301. <tr>
  302. <td class="memname">detail::tquat&lt;valType&gt; glm::angleAxis </td>
  303. <td>(</td>
  304. <td class="paramtype">valType const &amp;&#160;</td>
  305. <td class="paramname"><em>angle</em>, </td>
  306. </tr>
  307. <tr>
  308. <td class="paramkey"></td>
  309. <td></td>
  310. <td class="paramtype">detail::tvec3&lt; valType &gt; const &amp;&#160;</td>
  311. <td class="paramname"><em>axis</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>Build a quaternion from an angle and a normalized axis. </p>
  321. <dl class="params"><dt>Parameters</dt><dd>
  322. <table class="params">
  323. <tr><td class="paramname">angle</td><td>Angle expressed in radians if GLM_FORCE_RADIANS is define or degrees otherwise. </td></tr>
  324. <tr><td class="paramname">axis</td><td>Axis of the quaternion, must be normalized.</td></tr>
  325. </table>
  326. </dd>
  327. </dl>
  328. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion</a> </dd></dl>
  329. </div>
  330. </div>
  331. <a class="anchor" id="ga72457604550d0414e522dbec0d98f276"></a>
  332. <div class="memitem">
  333. <div class="memproto">
  334. <table class="memname">
  335. <tr>
  336. <td class="memname">detail::tvec3&lt;valType&gt; glm::axis </td>
  337. <td>(</td>
  338. <td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
  339. <td class="paramname"><em>x</em></td><td>)</td>
  340. <td></td>
  341. </tr>
  342. </table>
  343. </div><div class="memdoc">
  344. <p>Returns the q rotation axis. </p>
  345. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion</a> </dd></dl>
  346. </div>
  347. </div>
  348. <a class="anchor" id="ga8b6594dffb8bf455d848ffa2169ba41d"></a>
  349. <div class="memitem">
  350. <div class="memproto">
  351. <table class="memname">
  352. <tr>
  353. <td class="memname">detail::tquat&lt;T&gt; glm::conjugate </td>
  354. <td>(</td>
  355. <td class="paramtype">detail::tquat&lt; T &gt; const &amp;&#160;</td>
  356. <td class="paramname"><em>q</em></td><td>)</td>
  357. <td></td>
  358. </tr>
  359. </table>
  360. </div><div class="memdoc">
  361. <p>Returns the q conjugate. </p>
  362. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion</a> </dd></dl>
  363. </div>
  364. </div>
  365. <a class="anchor" id="gab9101d7f5b27ca682fc84e32b8fd70ad"></a>
  366. <div class="memitem">
  367. <div class="memproto">
  368. <table class="memname">
  369. <tr>
  370. <td class="memname">T glm::dot </td>
  371. <td>(</td>
  372. <td class="paramtype">detail::tquat&lt; T &gt; const &amp;&#160;</td>
  373. <td class="paramname"><em>q1</em>, </td>
  374. </tr>
  375. <tr>
  376. <td class="paramkey"></td>
  377. <td></td>
  378. <td class="paramtype">detail::tquat&lt; T &gt; const &amp;&#160;</td>
  379. <td class="paramname"><em>q2</em>&#160;</td>
  380. </tr>
  381. <tr>
  382. <td></td>
  383. <td>)</td>
  384. <td></td><td></td>
  385. </tr>
  386. </table>
  387. </div><div class="memdoc">
  388. <p>Returns dot product of q1 and q2, i.e., q1[0] * q2[0] + q1[1] * q2[1] + ... </p>
  389. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion</a> </dd></dl>
  390. </div>
  391. </div>
  392. <a class="anchor" id="gaa53e0e8933e176c6207720433fb8dd2b"></a>
  393. <div class="memitem">
  394. <div class="memproto">
  395. <table class="memname">
  396. <tr>
  397. <td class="memname">detail::tvec3&lt;T&gt; glm::eulerAngles </td>
  398. <td>(</td>
  399. <td class="paramtype">detail::tquat&lt; T &gt; const &amp;&#160;</td>
  400. <td class="paramname"><em>x</em></td><td>)</td>
  401. <td></td>
  402. </tr>
  403. </table>
  404. </div><div class="memdoc">
  405. <p>Returns euler angles, yitch as x, yaw as y, roll as z. </p>
  406. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion</a> </dd></dl>
  407. </div>
  408. </div>
  409. <a class="anchor" id="ga78b87a5e7152108e0dff0855d81b3bc1"></a>
  410. <div class="memitem">
  411. <div class="memproto">
  412. <table class="memname">
  413. <tr>
  414. <td class="memname">detail::tquat&lt;T&gt; glm::inverse </td>
  415. <td>(</td>
  416. <td class="paramtype">detail::tquat&lt; T &gt; const &amp;&#160;</td>
  417. <td class="paramname"><em>q</em></td><td>)</td>
  418. <td></td>
  419. </tr>
  420. </table>
  421. </div><div class="memdoc">
  422. <p>Returns the q inverse. </p>
  423. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion</a> </dd></dl>
  424. </div>
  425. </div>
  426. <a class="anchor" id="ga60d5647f87c2c423497d0f3bf8c407b8"></a>
  427. <div class="memitem">
  428. <div class="memproto">
  429. <table class="memname">
  430. <tr>
  431. <td class="memname">T glm::length </td>
  432. <td>(</td>
  433. <td class="paramtype">detail::tquat&lt; T &gt; const &amp;&#160;</td>
  434. <td class="paramname"><em>q</em></td><td>)</td>
  435. <td></td>
  436. </tr>
  437. </table>
  438. </div><div class="memdoc">
  439. <p>Returns the length of the quaternion. </p>
  440. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion</a> </dd></dl>
  441. </div>
  442. </div>
  443. <a class="anchor" id="ga91c6605e46a8c70c8e25bbc0f41da181"></a>
  444. <div class="memitem">
  445. <div class="memproto">
  446. <table class="memname">
  447. <tr>
  448. <td class="memname">detail::tquat&lt;T&gt; glm::lerp </td>
  449. <td>(</td>
  450. <td class="paramtype">detail::tquat&lt; T &gt; const &amp;&#160;</td>
  451. <td class="paramname"><em>x</em>, </td>
  452. </tr>
  453. <tr>
  454. <td class="paramkey"></td>
  455. <td></td>
  456. <td class="paramtype">detail::tquat&lt; T &gt; const &amp;&#160;</td>
  457. <td class="paramname"><em>y</em>, </td>
  458. </tr>
  459. <tr>
  460. <td class="paramkey"></td>
  461. <td></td>
  462. <td class="paramtype">T const &amp;&#160;</td>
  463. <td class="paramname"><em>a</em>&#160;</td>
  464. </tr>
  465. <tr>
  466. <td></td>
  467. <td>)</td>
  468. <td></td><td></td>
  469. </tr>
  470. </table>
  471. </div><div class="memdoc">
  472. <p>Linear interpolation of two quaternions. </p>
  473. <p>The interpolation is oriented.</p>
  474. <dl class="params"><dt>Parameters</dt><dd>
  475. <table class="params">
  476. <tr><td class="paramname">x</td><td>A quaternion </td></tr>
  477. <tr><td class="paramname">y</td><td>A quaternion </td></tr>
  478. <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined in the range [0, 1]. </td></tr>
  479. </table>
  480. </dd>
  481. </dl>
  482. <dl class="tparams"><dt>Template Parameters</dt><dd>
  483. <table class="tparams">
  484. <tr><td class="paramname">T</td><td>Value type used to build the quaternion. Supported: half, float or double. </td></tr>
  485. </table>
  486. </dd>
  487. </dl>
  488. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion</a> </dd></dl>
  489. </div>
  490. </div>
  491. <a class="anchor" id="gae04ce320008c9bec0037b4ba21853cb5"></a>
  492. <div class="memitem">
  493. <div class="memproto">
  494. <table class="memname">
  495. <tr>
  496. <td class="memname">detail::tmat3x3&lt;T&gt; glm::mat3_cast </td>
  497. <td>(</td>
  498. <td class="paramtype">detail::tquat&lt; T &gt; const &amp;&#160;</td>
  499. <td class="paramname"><em>x</em></td><td>)</td>
  500. <td></td>
  501. </tr>
  502. </table>
  503. </div><div class="memdoc">
  504. <p>Converts a quaternion to a 3 * 3 matrix. </p>
  505. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion</a> </dd></dl>
  506. <p>Referenced by <a class="el" href="a00077_source.html#l00149">glm::toMat3()</a>.</p>
  507. </div>
  508. </div>
  509. <a class="anchor" id="ga8c376eb15971eb52d85df5ee26825627"></a>
  510. <div class="memitem">
  511. <div class="memproto">
  512. <table class="memname">
  513. <tr>
  514. <td class="memname">detail::tmat4x4&lt;T&gt; glm::mat4_cast </td>
  515. <td>(</td>
  516. <td class="paramtype">detail::tquat&lt; T &gt; const &amp;&#160;</td>
  517. <td class="paramname"><em>x</em></td><td>)</td>
  518. <td></td>
  519. </tr>
  520. </table>
  521. </div><div class="memdoc">
  522. <p>Converts a quaternion to a 4 * 4 matrix. </p>
  523. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion</a> </dd></dl>
  524. <p>Referenced by <a class="el" href="a00077_source.html#l00156">glm::toMat4()</a>.</p>
  525. </div>
  526. </div>
  527. <a class="anchor" id="gaaea9592fd53952b636d680321edcdb31"></a>
  528. <div class="memitem">
  529. <div class="memproto">
  530. <table class="memname">
  531. <tr>
  532. <td class="memname">detail::tquat&lt;T&gt; glm::mix </td>
  533. <td>(</td>
  534. <td class="paramtype">detail::tquat&lt; T &gt; const &amp;&#160;</td>
  535. <td class="paramname"><em>x</em>, </td>
  536. </tr>
  537. <tr>
  538. <td class="paramkey"></td>
  539. <td></td>
  540. <td class="paramtype">detail::tquat&lt; T &gt; const &amp;&#160;</td>
  541. <td class="paramname"><em>y</em>, </td>
  542. </tr>
  543. <tr>
  544. <td class="paramkey"></td>
  545. <td></td>
  546. <td class="paramtype">T const &amp;&#160;</td>
  547. <td class="paramname"><em>a</em>&#160;</td>
  548. </tr>
  549. <tr>
  550. <td></td>
  551. <td>)</td>
  552. <td></td><td></td>
  553. </tr>
  554. </table>
  555. </div><div class="memdoc">
  556. <p>Spherical linear interpolation of two quaternions. </p>
  557. <p>The interpolation is oriented and the rotation is performed at constant speed. For short path spherical linear interpolation, use the slerp function.</p>
  558. <dl class="params"><dt>Parameters</dt><dd>
  559. <table class="params">
  560. <tr><td class="paramname">x</td><td>A quaternion </td></tr>
  561. <tr><td class="paramname">y</td><td>A quaternion </td></tr>
  562. <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined beyond the range [0, 1]. </td></tr>
  563. </table>
  564. </dd>
  565. </dl>
  566. <dl class="tparams"><dt>Template Parameters</dt><dd>
  567. <table class="tparams">
  568. <tr><td class="paramname">T</td><td>Value type used to build the quaternion. Supported: half, float or double. </td></tr>
  569. </table>
  570. </dd>
  571. </dl>
  572. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion</a> </dd>
  573. <dd>
  574. - slerp(detail::tquat&lt;T&gt; const &amp; x, detail::tquat&lt;T&gt; const &amp; y, T const &amp; a) </dd></dl>
  575. </div>
  576. </div>
  577. <a class="anchor" id="gabd269bb967469a6f1df5963455fee6be"></a>
  578. <div class="memitem">
  579. <div class="memproto">
  580. <table class="memname">
  581. <tr>
  582. <td class="memname">detail::tquat&lt;T&gt; glm::normalize </td>
  583. <td>(</td>
  584. <td class="paramtype">detail::tquat&lt; T &gt; const &amp;&#160;</td>
  585. <td class="paramname"><em>q</em></td><td>)</td>
  586. <td></td>
  587. </tr>
  588. </table>
  589. </div><div class="memdoc">
  590. <p>Returns the normalized quaternion. </p>
  591. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion</a> </dd></dl>
  592. </div>
  593. </div>
  594. <a class="anchor" id="gaf2a0323dbf6c6fb3f37b445aa899c1c7"></a>
  595. <div class="memitem">
  596. <div class="memproto">
  597. <table class="memname">
  598. <tr>
  599. <td class="memname">valType glm::pitch </td>
  600. <td>(</td>
  601. <td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
  602. <td class="paramname"><em>x</em></td><td>)</td>
  603. <td></td>
  604. </tr>
  605. </table>
  606. </div><div class="memdoc">
  607. <p>Returns pitch value of euler angles expressed in radians if GLM_FORCE_RADIANS is define or degrees otherwise. </p>
  608. <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>
  609. </div>
  610. </div>
  611. <a class="anchor" id="ga4d37447d81ceade1d10d68c995a4d881"></a>
  612. <div class="memitem">
  613. <div class="memproto">
  614. <table class="memname">
  615. <tr>
  616. <td class="memname">detail::tquat&lt;T&gt; glm::quat_cast </td>
  617. <td>(</td>
  618. <td class="paramtype">detail::tmat3x3&lt; T &gt; const &amp;&#160;</td>
  619. <td class="paramname"><em>x</em></td><td>)</td>
  620. <td></td>
  621. </tr>
  622. </table>
  623. </div><div class="memdoc">
  624. <p>Converts a 3 * 3 matrix to a quaternion. </p>
  625. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion</a> </dd></dl>
  626. <p>Referenced by <a class="el" href="a00077_source.html#l00163">glm::toQuat()</a>.</p>
  627. </div>
  628. </div>
  629. <a class="anchor" id="ga24adafe33b0bcad906c8724a762e5299"></a>
  630. <div class="memitem">
  631. <div class="memproto">
  632. <table class="memname">
  633. <tr>
  634. <td class="memname">detail::tquat&lt;T&gt; glm::quat_cast </td>
  635. <td>(</td>
  636. <td class="paramtype">detail::tmat4x4&lt; T &gt; const &amp;&#160;</td>
  637. <td class="paramname"><em>x</em></td><td>)</td>
  638. <td></td>
  639. </tr>
  640. </table>
  641. </div><div class="memdoc">
  642. <p>Converts a 4 * 4 matrix to a quaternion. </p>
  643. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion</a> </dd></dl>
  644. </div>
  645. </div>
  646. <a class="anchor" id="ga7ef4c8c1ce1ca988add2f73392db0a06"></a>
  647. <div class="memitem">
  648. <div class="memproto">
  649. <table class="memname">
  650. <tr>
  651. <td class="memname">valType glm::roll </td>
  652. <td>(</td>
  653. <td class="paramtype">detail::tquat&lt; valType &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>Returns roll value of euler angles expressed in radians if GLM_FORCE_RADIANS is define or degrees otherwise. </p>
  660. <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>
  661. </div>
  662. </div>
  663. <a class="anchor" id="ga297d6a9635153c76d7c011efa716b5da"></a>
  664. <div class="memitem">
  665. <div class="memproto">
  666. <table class="memname">
  667. <tr>
  668. <td class="memname">detail::tquat&lt;T&gt; glm::rotate </td>
  669. <td>(</td>
  670. <td class="paramtype">detail::tquat&lt; T &gt; const &amp;&#160;</td>
  671. <td class="paramname"><em>q</em>, </td>
  672. </tr>
  673. <tr>
  674. <td class="paramkey"></td>
  675. <td></td>
  676. <td class="paramtype">typename detail::tquat&lt; T &gt;::value_type const &amp;&#160;</td>
  677. <td class="paramname"><em>angle</em>, </td>
  678. </tr>
  679. <tr>
  680. <td class="paramkey"></td>
  681. <td></td>
  682. <td class="paramtype">detail::tvec3&lt; T &gt; const &amp;&#160;</td>
  683. <td class="paramname"><em>axis</em>&#160;</td>
  684. </tr>
  685. <tr>
  686. <td></td>
  687. <td>)</td>
  688. <td></td><td></td>
  689. </tr>
  690. </table>
  691. </div><div class="memdoc">
  692. <p>Rotates a quaternion from an vector of 3 components axis and an angle. </p>
  693. <dl class="params"><dt>Parameters</dt><dd>
  694. <table class="params">
  695. <tr><td class="paramname">q</td><td>Source orientation </td></tr>
  696. <tr><td class="paramname">angle</td><td>Angle expressed in radians if GLM_FORCE_RADIANS is define or degrees otherwise. </td></tr>
  697. <tr><td class="paramname">axis</td><td>Axis of the rotation, must be normalized.</td></tr>
  698. </table>
  699. </dd>
  700. </dl>
  701. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion</a> </dd></dl>
  702. </div>
  703. </div>
  704. <a class="anchor" id="ga4acb60c1b472fc6cb5322a63ca1cf9a4"></a>
  705. <div class="memitem">
  706. <div class="memproto">
  707. <table class="memname">
  708. <tr>
  709. <td class="memname">GLM_FUNC_QUALIFIER T slerp </td>
  710. <td>(</td>
  711. <td class="paramtype">detail::tquat&lt; T &gt; const &amp;&#160;</td>
  712. <td class="paramname"><em>x</em>, </td>
  713. </tr>
  714. <tr>
  715. <td class="paramkey"></td>
  716. <td></td>
  717. <td class="paramtype">detail::tquat&lt; T &gt; const &amp;&#160;</td>
  718. <td class="paramname"><em>y</em>, </td>
  719. </tr>
  720. <tr>
  721. <td class="paramkey"></td>
  722. <td></td>
  723. <td class="paramtype">T const &amp;&#160;</td>
  724. <td class="paramname"><em>a</em>&#160;</td>
  725. </tr>
  726. <tr>
  727. <td></td>
  728. <td>)</td>
  729. <td></td><td></td>
  730. </tr>
  731. </table>
  732. </div><div class="memdoc">
  733. <p>Spherical linear interpolation of two quaternions. </p>
  734. <p>Returns the slurp interpolation between two quaternions.</p>
  735. <p>The interpolation always take the short path and the rotation is performed at constant speed.</p>
  736. <dl class="params"><dt>Parameters</dt><dd>
  737. <table class="params">
  738. <tr><td class="paramname">x</td><td>A quaternion </td></tr>
  739. <tr><td class="paramname">y</td><td>A quaternion </td></tr>
  740. <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined beyond the range [0, 1]. </td></tr>
  741. </table>
  742. </dd>
  743. </dl>
  744. <dl class="tparams"><dt>Template Parameters</dt><dd>
  745. <table class="tparams">
  746. <tr><td class="paramname">T</td><td>Value type used to build the quaternion. Supported: half, float or double. </td></tr>
  747. </table>
  748. </dd>
  749. </dl>
  750. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00153.html" title="Defines a templated quaternion type and several quaternion operations.">GLM_GTC_quaternion</a> </dd></dl>
  751. <p>Definition at line <a class="el" href="a00013_source.html#l00073">73</a> of file <a class="el" href="a00013_source.html">compatibility.hpp</a>.</p>
  752. <p>References <a class="el" href="a00129.html#ga3f64b3986efe205cf30300700667e761">glm::mix()</a>.</p>
  753. </div>
  754. </div>
  755. <a class="anchor" id="gaac012c1a6bc37ce07a87745d9c596eed"></a>
  756. <div class="memitem">
  757. <div class="memproto">
  758. <table class="memname">
  759. <tr>
  760. <td class="memname">valType glm::yaw </td>
  761. <td>(</td>
  762. <td class="paramtype">detail::tquat&lt; valType &gt; const &amp;&#160;</td>
  763. <td class="paramname"><em>x</em></td><td>)</td>
  764. <td></td>
  765. </tr>
  766. </table>
  767. </div><div class="memdoc">
  768. <p>Returns yaw value of euler angles expressed in radians if GLM_FORCE_RADIANS is define or degrees otherwise. </p>
  769. <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>
  770. </div>
  771. </div>
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