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  44. <div class="title">GLM_GTC_quaternion<div class="ingroups"><a class="el" href="a00164.html">GTC Extensions (Stable)</a></div></div>  </div>
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  49. Functions</h2></td></tr>
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  118. <tr class="memitem:gafb826745dedb1760100bbd25d0f63fde"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
    119. 

  119. <tr class="memitem:gafb826745dedb1760100bbd25d0f63fde"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL detail::tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00179.html#gafb826745dedb1760100bbd25d0f63fde">quat_cast</a> (detail::tmat3x3&lt; T, P &gt; const &amp;x)</td></tr>
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  121. <tr class="memitem:ga385af22ef1a45c4464ddd28b80d5ce18"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
    122. 

  122. <tr class="memitem:ga385af22ef1a45c4464ddd28b80d5ce18"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL detail::tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00179.html#ga385af22ef1a45c4464ddd28b80d5ce18">quat_cast</a> (detail::tmat4x4&lt; T, P &gt; const &amp;x)</td></tr>
    123. 

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  124. <tr class="memitem:ga6d883e423bc425f4334fcce202131f7e"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
    125. 

  125. <tr class="memitem:ga6d883e423bc425f4334fcce202131f7e"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00179.html#ga6d883e423bc425f4334fcce202131f7e">roll</a> (detail::tquat&lt; T, P &gt; const &amp;x)</td></tr>
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  127. <tr class="memitem:gaa9a8891f03d8f5373525c4b3159c1c73"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
    128. 

  128. <tr class="memitem:gaa9a8891f03d8f5373525c4b3159c1c73"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL detail::tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00179.html#gaa9a8891f03d8f5373525c4b3159c1c73">rotate</a> (detail::tquat&lt; T, P &gt; const &amp;q, T const &amp;angle, detail::tvec3&lt; T, P &gt; const &amp;axis)</td></tr>
    129. 

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    131. 

  131. <tr class="memitem:ga7468a211a20ea56ea5cfb0625226868a"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL detail::tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00179.html#ga7468a211a20ea56ea5cfb0625226868a">slerp</a> (detail::tquat&lt; T, P &gt; const &amp;x, detail::tquat&lt; T, P &gt; const &amp;y, T const &amp;a)</td></tr>
    132. 

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  133. <tr class="memitem:ga1de7653ddf380ff06d2300eea831664c"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
    134. 

  134. <tr class="memitem:ga1de7653ddf380ff06d2300eea831664c"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00179.html#ga1de7653ddf380ff06d2300eea831664c">yaw</a> (detail::tquat&lt; T, P &gt; const &amp;x)</td></tr>
    135. 

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    136. 

  136. </table>
    137. 

  137. <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
    138. 

  138. <p>Defines a templated quaternion type and several quaternion operations. </p>
    139. 

  139. <p>&lt;<a class="el" href="a00098.html" title="OpenGL Mathematics (glm.g-truc.net) ">glm/gtc/quaternion.hpp</a>&gt; need to be included to use these functionalities. </p>
    140. 

  140. <h2 class="groupheader">Function Documentation</h2>
    141. 

  141. <a class="anchor" id="ga23a3fc7ada5bbb665ff84c92c6e0542c"></a>
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  144.       <table class="memname">
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  145.         <tr>
    146. 

  146.           <td class="memname">GLM_FUNC_DECL T glm::angle </td>
    147. 

  147.           <td>(</td>
    148. 

  148.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    149. 

  149.           <td class="paramname"><em>x</em></td><td>)</td>
    150. 

  150.           <td></td>
    151. 

  151.         </tr>
    152. 

  152.       </table>
    153. 

  153. </div><div class="memdoc">
    154. 

  154. 

  155. <p>Returns the quaternion rotation angle. </p>
    156. 

  156. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00179.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    157. 

  157. 

  158. </div>
    159. 

  159. </div>
    160. 

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  163.       <table class="memname">
    164. 

  164.         <tr>
    165. 

  165.           <td class="memname">GLM_FUNC_DECL detail::tquat&lt;T, P&gt; glm::angleAxis </td>
    166. 

  166.           <td>(</td>
    167. 

  167.           <td class="paramtype">T const &amp;&#160;</td>
    168. 

  168.           <td class="paramname"><em>angle</em>, </td>
    169. 

  169.         </tr>
    170. 

  170.         <tr>
    171. 

  171.           <td class="paramkey"></td>
    172. 

  172.           <td></td>
    173. 

  173.           <td class="paramtype">detail::tvec3&lt; T, P &gt; const &amp;&#160;</td>
    174. 

  174.           <td class="paramname"><em>axis</em>&#160;</td>
    175. 

  175.         </tr>
    176. 

  176.         <tr>
    177. 

  177.           <td></td>
    178. 

  178.           <td>)</td>
    179. 

  179.           <td></td><td></td>
    180. 

  180.         </tr>
    181. 

  181.       </table>
    182. 

  182. </div><div class="memdoc">
    183. 

  183. 

  184. <p>Build a quaternion from an angle and a normalized axis. </p>
    185. 

  185. <dl class="params"><dt>Parameters</dt><dd>
    186. 

  186.   <table class="params">
    187. 

  187.     <tr><td class="paramname">angle</td><td>Angle expressed in radians if GLM_FORCE_RADIANS is define or degrees otherwise. </td></tr>
    188. 

  188.     <tr><td class="paramname">axis</td><td>Axis of the quaternion, must be normalized.</td></tr>
    189. 

  189.   </table>
    190. 

  190.   </dd>
    191. 

  191. </dl>
    192. 

  192. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00179.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    193. 

  193. 

  194. </div>
    195. 

  195. </div>
    196. 

  196. <a class="anchor" id="ga8eef9f8c3f2e4836dccf09df975b20fb"></a>
    197. 

  197. <div class="memitem">
    198. 

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    199. 

  199.       <table class="memname">
    200. 

  200.         <tr>
    201. 

  201.           <td class="memname">GLM_FUNC_DECL detail::tvec3&lt;T, P&gt; glm::axis </td>
    202. 

  202.           <td>(</td>
    203. 

  203.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    204. 

  204.           <td class="paramname"><em>x</em></td><td>)</td>
    205. 

  205.           <td></td>
    206. 

  206.         </tr>
    207. 

  207.       </table>
    208. 

  208. </div><div class="memdoc">
    209. 

  209. 

  210. <p>Returns the q rotation axis. </p>
    211. 

  211. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00179.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    212. 

  212. 

  213. </div>
    214. 

  214. </div>
    215. 

  215. <a class="anchor" id="gaf78006c47276b151777fc194cf11a688"></a>
    216. 

  216. <div class="memitem">
    217. 

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  218.       <table class="memname">
    219. 

  219.         <tr>
    220. 

  220.           <td class="memname">GLM_FUNC_DECL detail::tquat&lt;T, P&gt; glm::conjugate </td>
    221. 

  221.           <td>(</td>
    222. 

  222.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    223. 

  223.           <td class="paramname"><em>q</em></td><td>)</td>
    224. 

  224.           <td></td>
    225. 

  225.         </tr>
    226. 

  226.       </table>
    227. 

  227. </div><div class="memdoc">
    228. 

  228. 

  229. <p>Returns the q conjugate. </p>
    230. 

  230. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00179.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    231. 

  231. 

  232. </div>
    233. 

  233. </div>
    234. 

  234. <a class="anchor" id="gac54dfc83de465a2d03e90d342242ab3d"></a>
    235. 

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  237.       <table class="memname">
    238. 

  238.         <tr>
    239. 

  239.           <td class="memname">GLM_FUNC_DECL T glm::dot </td>
    240. 

  240.           <td>(</td>
    241. 

  241.           <td class="paramtype">quatType&lt; T, P &gt; const &amp;&#160;</td>
    242. 

  242.           <td class="paramname"><em>x</em>, </td>
    243. 

  243.         </tr>
    244. 

  244.         <tr>
    245. 

  245.           <td class="paramkey"></td>
    246. 

  246.           <td></td>
    247. 

  247.           <td class="paramtype">quatType&lt; T, P &gt; const &amp;&#160;</td>
    248. 

  248.           <td class="paramname"><em>y</em>&#160;</td>
    249. 

  249.         </tr>
    250. 

  250.         <tr>
    251. 

  251.           <td></td>
    252. 

  252.           <td>)</td>
    253. 

  253.           <td></td><td></td>
    254. 

  254.         </tr>
    255. 

  255.       </table>
    256. 

  256. </div><div class="memdoc">
    257. 

  257. 

  258. <p>Returns dot product of q1 and q2, i.e., q1[0] * q2[0] + q1[1] * q2[1] + ... </p>
    259. 

  259. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00179.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    260. 

  260. 

  261. </div>
    262. 

  262. </div>
    263. 

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    264. 

  264. <div class="memitem">
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  266.       <table class="memname">
    267. 

  267.         <tr>
    268. 

  268.           <td class="memname">GLM_FUNC_DECL detail::tvec4&lt;bool, P&gt; glm::equal </td>
    269. 

  269.           <td>(</td>
    270. 

  270.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    271. 

  271.           <td class="paramname"><em>x</em>, </td>
    272. 

  272.         </tr>
    273. 

  273.         <tr>
    274. 

  274.           <td class="paramkey"></td>
    275. 

  275.           <td></td>
    276. 

  276.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    277. 

  277.           <td class="paramname"><em>y</em>&#160;</td>
    278. 

  278.         </tr>
    279. 

  279.         <tr>
    280. 

  280.           <td></td>
    281. 

  281.           <td>)</td>
    282. 

  282.           <td></td><td></td>
    283. 

  283.         </tr>
    284. 

  284.       </table>
    285. 

  285. </div><div class="memdoc">
    286. 

  286. 

  287. <p>Returns the component-wise comparison of result x == y. </p>
    288. 

  288. <dl class="tparams"><dt>Template Parameters</dt><dd>
    289. 

  289.   <table class="tparams">
    290. 

  290.     <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
    291. 

  291.   </table>
    292. 

  292.   </dd>
    293. 

  293. </dl>
    294. 

  294. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00179.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    295. 

  295. 

  296. </div>
    297. 

  297. </div>
    298. 

  298. <a class="anchor" id="gade4034f49ccadf63cb31a7fb5fa3c8aa"></a>
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  299. <div class="memitem">
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  301.       <table class="memname">
    302. 

  302.         <tr>
    303. 

  303.           <td class="memname">GLM_FUNC_DECL detail::tvec3&lt;T, P&gt; glm::eulerAngles </td>
    304. 

  304.           <td>(</td>
    305. 

  305.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    306. 

  306.           <td class="paramname"><em>x</em></td><td>)</td>
    307. 

  307.           <td></td>
    308. 

  308.         </tr>
    309. 

  309.       </table>
    310. 

  310. </div><div class="memdoc">
    311. 

  311. 

  312. <p>Returns euler angles, yitch as x, yaw as y, roll as z. </p>
    313. 

  313. <p>The result is expressed in radians if GLM_FORCE_RADIANS is defined or degrees otherwise.</p>
    314. 

  314. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00179.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    315. 

  315. 

  316. </div>
    317. 

  317. </div>
    318. 

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  323.           <td class="memname">GLM_FUNC_DECL detail::tvec4&lt;bool, P&gt; glm::greaterThan </td>
    324. 

  324.           <td>(</td>
    325. 

  325.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    326. 

  326.           <td class="paramname"><em>x</em>, </td>
    327. 

  327.         </tr>
    328. 

  328.         <tr>
    329. 

  329.           <td class="paramkey"></td>
    330. 

  330.           <td></td>
    331. 

  331.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    332. 

  332.           <td class="paramname"><em>y</em>&#160;</td>
    333. 

  333.         </tr>
    334. 

  334.         <tr>
    335. 

  335.           <td></td>
    336. 

  336.           <td>)</td>
    337. 

  337.           <td></td><td></td>
    338. 

  338.         </tr>
    339. 

  339.       </table>
    340. 

  340. </div><div class="memdoc">
    341. 

  341. 

  342. <p>Returns the component-wise comparison of result x &gt; y. </p>
    343. 

  343. <dl class="tparams"><dt>Template Parameters</dt><dd>
    344. 

  344.   <table class="tparams">
    345. 

  345.     <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
    346. 

  346.   </table>
    347. 

  347.   </dd>
    348. 

  348. </dl>
    349. 

  349. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00179.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    350. 

  350. 

  351. </div>
    352. 

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  356.       <table class="memname">
    357. 

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    358. 

  358.           <td class="memname">GLM_FUNC_DECL detail::tvec4&lt;bool, P&gt; glm::greaterThanEqual </td>
    359. 

  359.           <td>(</td>
    360. 

  360.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    361. 

  361.           <td class="paramname"><em>x</em>, </td>
    362. 

  362.         </tr>
    363. 

  363.         <tr>
    364. 

  364.           <td class="paramkey"></td>
    365. 

  365.           <td></td>
    366. 

  366.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    367. 

  367.           <td class="paramname"><em>y</em>&#160;</td>
    368. 

  368.         </tr>
    369. 

  369.         <tr>
    370. 

  370.           <td></td>
    371. 

  371.           <td>)</td>
    372. 

  372.           <td></td><td></td>
    373. 

  373.         </tr>
    374. 

  374.       </table>
    375. 

  375. </div><div class="memdoc">
    376. 

  376. 

  377. <p>Returns the component-wise comparison of result x &gt;= y. </p>
    378. 

  378. <dl class="tparams"><dt>Template Parameters</dt><dd>
    379. 

  379.   <table class="tparams">
    380. 

  380.     <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
    381. 

  381.   </table>
    382. 

  382.   </dd>
    383. 

  383. </dl>
    384. 

  384. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00179.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    385. 

  385. 

  386. </div>
    387. 

  387. </div>
    388. 

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    391. 

  391.       <table class="memname">
    392. 

  392.         <tr>
    393. 

  393.           <td class="memname">GLM_FUNC_DECL detail::tquat&lt;T, P&gt; glm::inverse </td>
    394. 

  394.           <td>(</td>
    395. 

  395.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    396. 

  396.           <td class="paramname"><em>q</em></td><td>)</td>
    397. 

  397.           <td></td>
    398. 

  398.         </tr>
    399. 

  399.       </table>
    400. 

  400. </div><div class="memdoc">
    401. 

  401. 

  402. <p>Returns the q inverse. </p>
    403. 

  403. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00179.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    404. 

  404. 

  405. </div>
    406. 

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    411. 

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  412.           <td class="memname">GLM_FUNC_DECL T glm::length </td>
    413. 

  413.           <td>(</td>
    414. 

  414.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    415. 

  415.           <td class="paramname"><em>q</em></td><td>)</td>
    416. 

  416.           <td></td>
    417. 

  417.         </tr>
    418. 

  418.       </table>
    419. 

  419. </div><div class="memdoc">
    420. 

  420. 

  421. <p>Returns the length of the quaternion. </p>
    422. 

  422. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00179.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    423. 

  423. 

  424. </div>
    425. 

  425. </div>
    426. 

  426. <a class="anchor" id="gafc1c989eaa2c786d34218b176f680fe0"></a>
    427. 

  427. <div class="memitem">
    428. 

  428. <div class="memproto">
    429. 

  429.       <table class="memname">
    430. 

  430.         <tr>
    431. 

  431.           <td class="memname">GLM_FUNC_DECL detail::tquat&lt;T, P&gt; glm::lerp </td>
    432. 

  432.           <td>(</td>
    433. 

  433.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    434. 

  434.           <td class="paramname"><em>x</em>, </td>
    435. 

  435.         </tr>
    436. 

  436.         <tr>
    437. 

  437.           <td class="paramkey"></td>
    438. 

  438.           <td></td>
    439. 

  439.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    440. 

  440.           <td class="paramname"><em>y</em>, </td>
    441. 

  441.         </tr>
    442. 

  442.         <tr>
    443. 

  443.           <td class="paramkey"></td>
    444. 

  444.           <td></td>
    445. 

  445.           <td class="paramtype">T const &amp;&#160;</td>
    446. 

  446.           <td class="paramname"><em>a</em>&#160;</td>
    447. 

  447.         </tr>
    448. 

  448.         <tr>
    449. 

  449.           <td></td>
    450. 

  450.           <td>)</td>
    451. 

  451.           <td></td><td></td>
    452. 

  452.         </tr>
    453. 

  453.       </table>
    454. 

  454. </div><div class="memdoc">
    455. 

  455. 

  456. <p>Linear interpolation of two quaternions. </p>
    457. 

  457. <p>The interpolation is oriented.</p>
    458. 

  458. <dl class="params"><dt>Parameters</dt><dd>
    459. 

  459.   <table class="params">
    460. 

  460.     <tr><td class="paramname">x</td><td>A quaternion </td></tr>
    461. 

  461.     <tr><td class="paramname">y</td><td>A quaternion </td></tr>
    462. 

  462.     <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined in the range [0, 1]. </td></tr>
    463. 

  463.   </table>
    464. 

  464.   </dd>
    465. 

  465. </dl>
    466. 

  466. <dl class="tparams"><dt>Template Parameters</dt><dd>
    467. 

  467.   <table class="tparams">
    468. 

  468.     <tr><td class="paramname">T</td><td>Value type used to build the quaternion. Supported: half, float or double. </td></tr>
    469. 

  469.   </table>
    470. 

  470.   </dd>
    471. 

  471. </dl>
    472. 

  472. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00179.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    473. 

  473. 

  474. </div>
    475. 

  475. </div>
    476. 

  476. <a class="anchor" id="ga4e4c37b86cecde7e1076c5b5fdb920b9"></a>
    477. 

  477. <div class="memitem">
    478. 

  478. <div class="memproto">
    479. 

  479.       <table class="memname">
    480. 

  480.         <tr>
    481. 

  481.           <td class="memname">GLM_FUNC_DECL detail::tvec4&lt;bool, P&gt; glm::lessThan </td>
    482. 

  482.           <td>(</td>
    483. 

  483.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    484. 

  484.           <td class="paramname"><em>x</em>, </td>
    485. 

  485.         </tr>
    486. 

  486.         <tr>
    487. 

  487.           <td class="paramkey"></td>
    488. 

  488.           <td></td>
    489. 

  489.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    490. 

  490.           <td class="paramname"><em>y</em>&#160;</td>
    491. 

  491.         </tr>
    492. 

  492.         <tr>
    493. 

  493.           <td></td>
    494. 

  494.           <td>)</td>
    495. 

  495.           <td></td><td></td>
    496. 

  496.         </tr>
    497. 

  497.       </table>
    498. 

  498. </div><div class="memdoc">
    499. 

  499. 

  500. <p>Returns the component-wise comparison result of x &lt; y. </p>
    501. 

  501. <dl class="tparams"><dt>Template Parameters</dt><dd>
    502. 

  502.   <table class="tparams">
    503. 

  503.     <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
    504. 

  504.   </table>
    505. 

  505.   </dd>
    506. 

  506. </dl>
    507. 

  507. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00179.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    508. 

  508. 

  509. </div>
    510. 

  510. </div>
    511. 

  511. <a class="anchor" id="ga313fe20896a8cd43c6d08cc88fa18faa"></a>
    512. 

  512. <div class="memitem">
    513. 

  513. <div class="memproto">
    514. 

  514.       <table class="memname">
    515. 

  515.         <tr>
    516. 

  516.           <td class="memname">GLM_FUNC_DECL detail::tvec4&lt;bool, P&gt; glm::lessThanEqual </td>
    517. 

  517.           <td>(</td>
    518. 

  518.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    519. 

  519.           <td class="paramname"><em>x</em>, </td>
    520. 

  520.         </tr>
    521. 

  521.         <tr>
    522. 

  522.           <td class="paramkey"></td>
    523. 

  523.           <td></td>
    524. 

  524.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    525. 

  525.           <td class="paramname"><em>y</em>&#160;</td>
    526. 

  526.         </tr>
    527. 

  527.         <tr>
    528. 

  528.           <td></td>
    529. 

  529.           <td>)</td>
    530. 

  530.           <td></td><td></td>
    531. 

  531.         </tr>
    532. 

  532.       </table>
    533. 

  533. </div><div class="memdoc">
    534. 

  534. 

  535. <p>Returns the component-wise comparison of result x &lt;= y. </p>
    536. 

  536. <dl class="tparams"><dt>Template Parameters</dt><dd>
    537. 

  537.   <table class="tparams">
    538. 

  538.     <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
    539. 

  539.   </table>
    540. 

  540.   </dd>
    541. 

  541. </dl>
    542. 

  542. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00179.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    543. 

  543. 

  544. </div>
    545. 

  545. </div>
    546. 

  546. <a class="anchor" id="ga65257c3494022ad80a50ce11da95049d"></a>
    547. 

  547. <div class="memitem">
    548. 

  548. <div class="memproto">
    549. 

  549.       <table class="memname">
    550. 

  550.         <tr>
    551. 

  551.           <td class="memname">GLM_FUNC_DECL detail::tmat3x3&lt;T, P&gt; glm::mat3_cast </td>
    552. 

  552.           <td>(</td>
    553. 

  553.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    554. 

  554.           <td class="paramname"><em>x</em></td><td>)</td>
    555. 

  555.           <td></td>
    556. 

  556.         </tr>
    557. 

  557.       </table>
    558. 

  558. </div><div class="memdoc">
    559. 

  559. 

  560. <p>Converts a quaternion to a 3 * 3 matrix. </p>
    561. 

  561. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00179.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    562. 

  562. 

  563. <p>Referenced by <a class="el" href="a00099_source.html#l00150">glm::toMat3()</a>.</p>
    564. 

  564. 

  565. </div>
    566. 

  566. </div>
    567. 

  567. <a class="anchor" id="gafc4e34c836f7ccb5f3bb2a0373c831e0"></a>
    568. 

  568. <div class="memitem">
    569. 

  569. <div class="memproto">
    570. 

  570.       <table class="memname">
    571. 

  571.         <tr>
    572. 

  572.           <td class="memname">GLM_FUNC_DECL detail::tmat4x4&lt;T, P&gt; glm::mat4_cast </td>
    573. 

  573.           <td>(</td>
    574. 

  574.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    575. 

  575.           <td class="paramname"><em>x</em></td><td>)</td>
    576. 

  576.           <td></td>
    577. 

  577.         </tr>
    578. 

  578.       </table>
    579. 

  579. </div><div class="memdoc">
    580. 

  580. 

  581. <p>Converts a quaternion to a 4 * 4 matrix. </p>
    582. 

  582. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00179.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    583. 

  583. 

  584. <p>Referenced by <a class="el" href="a00099_source.html#l00157">glm::toMat4()</a>.</p>
    585. 

  585. 

  586. </div>
    587. 

  587. </div>
    588. 

  588. <a class="anchor" id="gafabf175ae3e2cd30bf58dc313321955a"></a>
    589. 

  589. <div class="memitem">
    590. 

  590. <div class="memproto">
    591. 

  591.       <table class="memname">
    592. 

  592.         <tr>
    593. 

  593.           <td class="memname">GLM_FUNC_DECL detail::tquat&lt;T, P&gt; glm::mix </td>
    594. 

  594.           <td>(</td>
    595. 

  595.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    596. 

  596.           <td class="paramname"><em>x</em>, </td>
    597. 

  597.         </tr>
    598. 

  598.         <tr>
    599. 

  599.           <td class="paramkey"></td>
    600. 

  600.           <td></td>
    601. 

  601.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    602. 

  602.           <td class="paramname"><em>y</em>, </td>
    603. 

  603.         </tr>
    604. 

  604.         <tr>
    605. 

  605.           <td class="paramkey"></td>
    606. 

  606.           <td></td>
    607. 

  607.           <td class="paramtype">T const &amp;&#160;</td>
    608. 

  608.           <td class="paramname"><em>a</em>&#160;</td>
    609. 

  609.         </tr>
    610. 

  610.         <tr>
    611. 

  611.           <td></td>
    612. 

  612.           <td>)</td>
    613. 

  613.           <td></td><td></td>
    614. 

  614.         </tr>
    615. 

  615.       </table>
    616. 

  616. </div><div class="memdoc">
    617. 

  617. 

  618. <p>Spherical linear interpolation of two quaternions. </p>
    619. 

  619. <p>The interpolation is oriented and the rotation is performed at constant speed. For short path spherical linear interpolation, use the slerp function.</p>
    620. 

  620. <dl class="params"><dt>Parameters</dt><dd>
    621. 

  621.   <table class="params">
    622. 

  622.     <tr><td class="paramname">x</td><td>A quaternion </td></tr>
    623. 

  623.     <tr><td class="paramname">y</td><td>A quaternion </td></tr>
    624. 

  624.     <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined beyond the range [0, 1]. </td></tr>
    625. 

  625.   </table>
    626. 

  626.   </dd>
    627. 

  627. </dl>
    628. 

  628. <dl class="tparams"><dt>Template Parameters</dt><dd>
    629. 

  629.   <table class="tparams">
    630. 

  630.     <tr><td class="paramname">T</td><td>Value type used to build the quaternion. Supported: half, float or double. </td></tr>
    631. 

  631.   </table>
    632. 

  632.   </dd>
    633. 

  633. </dl>
    634. 

  634. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00179.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd>
    635. 

  635. <dd>
    636. 

  636. - <a class="el" href="a00179.html#ga7468a211a20ea56ea5cfb0625226868a" title="Spherical linear interpolation of two quaternions. ">slerp(detail::tquat&lt;T, P&gt; const &amp; x, detail::tquat&lt;T, P&gt; const &amp; y, T const &amp; a)</a> </dd></dl>
    637. 

  637. 

  638. </div>
    639. 

  639. </div>
    640. 

  640. <a class="anchor" id="ga34ee289ca53a08207904e935104715d8"></a>
    641. 

  641. <div class="memitem">
    642. 

  642. <div class="memproto">
    643. 

  643.       <table class="memname">
    644. 

  644.         <tr>
    645. 

  645.           <td class="memname">GLM_FUNC_DECL detail::tquat&lt;T, P&gt; glm::normalize </td>
    646. 

  646.           <td>(</td>
    647. 

  647.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    648. 

  648.           <td class="paramname"><em>q</em></td><td>)</td>
    649. 

  649.           <td></td>
    650. 

  650.         </tr>
    651. 

  651.       </table>
    652. 

  652. </div><div class="memdoc">
    653. 

  653. 

  654. <p>Returns the normalized quaternion. </p>
    655. 

  655. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00179.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    656. 

  656. 

  657. </div>
    658. 

  658. </div>
    659. 

  659. <a class="anchor" id="gaa3a8cf1aa580e435ca96acafbd7870a5"></a>
    660. 

  660. <div class="memitem">
    661. 

  661. <div class="memproto">
    662. 

  662.       <table class="memname">
    663. 

  663.         <tr>
    664. 

  664.           <td class="memname">GLM_FUNC_DECL detail::tvec4&lt;bool, P&gt; glm::notEqual </td>
    665. 

  665.           <td>(</td>
    666. 

  666.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    667. 

  667.           <td class="paramname"><em>x</em>, </td>
    668. 

  668.         </tr>
    669. 

  669.         <tr>
    670. 

  670.           <td class="paramkey"></td>
    671. 

  671.           <td></td>
    672. 

  672.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    673. 

  673.           <td class="paramname"><em>y</em>&#160;</td>
    674. 

  674.         </tr>
    675. 

  675.         <tr>
    676. 

  676.           <td></td>
    677. 

  677.           <td>)</td>
    678. 

  678.           <td></td><td></td>
    679. 

  679.         </tr>
    680. 

  680.       </table>
    681. 

  681. </div><div class="memdoc">
    682. 

  682. 

  683. <p>Returns the component-wise comparison of result x != y. </p>
    684. 

  684. <dl class="tparams"><dt>Template Parameters</dt><dd>
    685. 

  685.   <table class="tparams">
    686. 

  686.     <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
    687. 

  687.   </table>
    688. 

  688.   </dd>
    689. 

  689. </dl>
    690. 

  690. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00179.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    691. 

  691. 

  692. </div>
    693. 

  693. </div>
    694. 

  694. <a class="anchor" id="ga4d345dc369a54f53f5ebc375bac56d11"></a>
    695. 

  695. <div class="memitem">
    696. 

  696. <div class="memproto">
    697. 

  697.       <table class="memname">
    698. 

  698.         <tr>
    699. 

  699.           <td class="memname">GLM_FUNC_DECL T glm::pitch </td>
    700. 

  700.           <td>(</td>
    701. 

  701.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    702. 

  702.           <td class="paramname"><em>x</em></td><td>)</td>
    703. 

  703.           <td></td>
    704. 

  704.         </tr>
    705. 

  705.       </table>
    706. 

  706. </div><div class="memdoc">
    707. 

  707. 

  708. <p>Returns pitch value of euler angles expressed in radians if GLM_FORCE_RADIANS is defined or degrees otherwise. </p>
    709. 

  709. <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>
    710. 

  710. 

  711. </div>
    712. 

  712. </div>
    713. 

  713. <a class="anchor" id="gafb826745dedb1760100bbd25d0f63fde"></a>
    714. 

  714. <div class="memitem">
    715. 

  715. <div class="memproto">
    716. 

  716.       <table class="memname">
    717. 

  717.         <tr>
    718. 

  718.           <td class="memname">GLM_FUNC_DECL detail::tquat&lt;T, P&gt; glm::quat_cast </td>
    719. 

  719.           <td>(</td>
    720. 

  720.           <td class="paramtype">detail::tmat3x3&lt; T, P &gt; const &amp;&#160;</td>
    721. 

  721.           <td class="paramname"><em>x</em></td><td>)</td>
    722. 

  722.           <td></td>
    723. 

  723.         </tr>
    724. 

  724.       </table>
    725. 

  725. </div><div class="memdoc">
    726. 

  726. 

  727. <p>Converts a 3 * 3 matrix to a quaternion. </p>
    728. 

  728. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00179.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    729. 

  729. 

  730. <p>Referenced by <a class="el" href="a00099_source.html#l00164">glm::toQuat()</a>.</p>
    731. 

  731. 

  732. </div>
    733. 

  733. </div>
    734. 

  734. <a class="anchor" id="ga385af22ef1a45c4464ddd28b80d5ce18"></a>
    735. 

  735. <div class="memitem">
    736. 

  736. <div class="memproto">
    737. 

  737.       <table class="memname">
    738. 

  738.         <tr>
    739. 

  739.           <td class="memname">GLM_FUNC_DECL detail::tquat&lt;T, P&gt; glm::quat_cast </td>
    740. 

  740.           <td>(</td>
    741. 

  741.           <td class="paramtype">detail::tmat4x4&lt; T, P &gt; const &amp;&#160;</td>
    742. 

  742.           <td class="paramname"><em>x</em></td><td>)</td>
    743. 

  743.           <td></td>
    744. 

  744.         </tr>
    745. 

  745.       </table>
    746. 

  746. </div><div class="memdoc">
    747. 

  747. 

  748. <p>Converts a 4 * 4 matrix to a quaternion. </p>
    749. 

  749. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00179.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    750. 

  750. 

  751. </div>
    752. 

  752. </div>
    753. 

  753. <a class="anchor" id="ga6d883e423bc425f4334fcce202131f7e"></a>
    754. 

  754. <div class="memitem">
    755. 

  755. <div class="memproto">
    756. 

  756.       <table class="memname">
    757. 

  757.         <tr>
    758. 

  758.           <td class="memname">GLM_FUNC_DECL T glm::roll </td>
    759. 

  759.           <td>(</td>
    760. 

  760.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    761. 

  761.           <td class="paramname"><em>x</em></td><td>)</td>
    762. 

  762.           <td></td>
    763. 

  763.         </tr>
    764. 

  764.       </table>
    765. 

  765. </div><div class="memdoc">
    766. 

  766. 

  767. <p>Returns roll value of euler angles expressed in radians if GLM_FORCE_RADIANS is defined or degrees otherwise. </p>
    768. 

  768. <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>
    769. 

  769. 

  770. </div>
    771. 

  771. </div>
    772. 

  772. <a class="anchor" id="gaa9a8891f03d8f5373525c4b3159c1c73"></a>
    773. 

  773. <div class="memitem">
    774. 

  774. <div class="memproto">
    775. 

  775.       <table class="memname">
    776. 

  776.         <tr>
    777. 

  777.           <td class="memname">GLM_FUNC_DECL detail::tquat&lt;T, P&gt; glm::rotate </td>
    778. 

  778.           <td>(</td>
    779. 

  779.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    780. 

  780.           <td class="paramname"><em>q</em>, </td>
    781. 

  781.         </tr>
    782. 

  782.         <tr>
    783. 

  783.           <td class="paramkey"></td>
    784. 

  784.           <td></td>
    785. 

  785.           <td class="paramtype">T const &amp;&#160;</td>
    786. 

  786.           <td class="paramname"><em>angle</em>, </td>
    787. 

  787.         </tr>
    788. 

  788.         <tr>
    789. 

  789.           <td class="paramkey"></td>
    790. 

  790.           <td></td>
    791. 

  791.           <td class="paramtype">detail::tvec3&lt; T, P &gt; const &amp;&#160;</td>
    792. 

  792.           <td class="paramname"><em>axis</em>&#160;</td>
    793. 

  793.         </tr>
    794. 

  794.         <tr>
    795. 

  795.           <td></td>
    796. 

  796.           <td>)</td>
    797. 

  797.           <td></td><td></td>
    798. 

  798.         </tr>
    799. 

  799.       </table>
    800. 

  800. </div><div class="memdoc">
    801. 

  801. 

  802. <p>Rotates a quaternion from a vector of 3 components axis and an angle. </p>
    803. 

  803. <dl class="params"><dt>Parameters</dt><dd>
    804. 

  804.   <table class="params">
    805. 

  805.     <tr><td class="paramname">q</td><td>Source orientation </td></tr>
    806. 

  806.     <tr><td class="paramname">angle</td><td>Angle expressed in radians if GLM_FORCE_RADIANS is define or degrees otherwise. </td></tr>
    807. 

  807.     <tr><td class="paramname">axis</td><td>Axis of the rotation</td></tr>
    808. 

  808.   </table>
    809. 

  809.   </dd>
    810. 

  810. </dl>
    811. 

  811. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00179.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    812. 

  812. 

  813. </div>
    814. 

  814. </div>
    815. 

  815. <a class="anchor" id="ga7468a211a20ea56ea5cfb0625226868a"></a>
    816. 

  816. <div class="memitem">
    817. 

  817. <div class="memproto">
    818. 

  818.       <table class="memname">
    819. 

  819.         <tr>
    820. 

  820.           <td class="memname">GLM_FUNC_DECL detail::tquat&lt;T, P&gt; glm::slerp </td>
    821. 

  821.           <td>(</td>
    822. 

  822.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    823. 

  823.           <td class="paramname"><em>x</em>, </td>
    824. 

  824.         </tr>
    825. 

  825.         <tr>
    826. 

  826.           <td class="paramkey"></td>
    827. 

  827.           <td></td>
    828. 

  828.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    829. 

  829.           <td class="paramname"><em>y</em>, </td>
    830. 

  830.         </tr>
    831. 

  831.         <tr>
    832. 

  832.           <td class="paramkey"></td>
    833. 

  833.           <td></td>
    834. 

  834.           <td class="paramtype">T const &amp;&#160;</td>
    835. 

  835.           <td class="paramname"><em>a</em>&#160;</td>
    836. 

  836.         </tr>
    837. 

  837.         <tr>
    838. 

  838.           <td></td>
    839. 

  839.           <td>)</td>
    840. 

  840.           <td></td><td></td>
    841. 

  841.         </tr>
    842. 

  842.       </table>
    843. 

  843. </div><div class="memdoc">
    844. 

  844. 

  845. <p>Spherical linear interpolation of two quaternions. </p>
    846. 

  846. <p>The interpolation always take the short path and the rotation is performed at constant speed.</p>
    847. 

  847. <dl class="params"><dt>Parameters</dt><dd>
    848. 

  848.   <table class="params">
    849. 

  849.     <tr><td class="paramname">x</td><td>A quaternion </td></tr>
    850. 

  850.     <tr><td class="paramname">y</td><td>A quaternion </td></tr>
    851. 

  851.     <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined beyond the range [0, 1]. </td></tr>
    852. 

  852.   </table>
    853. 

  853.   </dd>
    854. 

  854. </dl>
    855. 

  855. <dl class="tparams"><dt>Template Parameters</dt><dd>
    856. 

  856.   <table class="tparams">
    857. 

  857.     <tr><td class="paramname">T</td><td>Value type used to build the quaternion. Supported: half, float or double. </td></tr>
    858. 

  858.   </table>
    859. 

  859.   </dd>
    860. 

  860. </dl>
    861. 

  861. <dl class="section see"><dt>See Also</dt><dd><a class="el" href="a00179.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a></dd></dl>
    862. 

  862. <p>Spherical linear interpolation of two quaternions. </p>
    863. 

  863. 

  864. <p>Definition at line <a class="el" href="a00017_source.html#l00073">73</a> of file <a class="el" href="a00017_source.html">compatibility.hpp</a>.</p>
    865. 

  865. 

  866. <p>References <a class="el" href="a00155.html#ga78aae7eea618ca112053d59fe03db239">glm::mix()</a>.</p>
    867. 

  867. 

  868. </div>
    869. 

  869. </div>
    870. 

  870. <a class="anchor" id="ga1de7653ddf380ff06d2300eea831664c"></a>
    871. 

  871. <div class="memitem">
    872. 

  872. <div class="memproto">
    873. 

  873.       <table class="memname">
    874. 

  874.         <tr>
    875. 

  875.           <td class="memname">GLM_FUNC_DECL T glm::yaw </td>
    876. 

  876.           <td>(</td>
    877. 

  877.           <td class="paramtype">detail::tquat&lt; T, P &gt; const &amp;&#160;</td>
    878. 

  878.           <td class="paramname"><em>x</em></td><td>)</td>
    879. 

  879.           <td></td>
    880. 

  880.         </tr>
    881. 

  881.       </table>
    882. 

  882. </div><div class="memdoc">
    883. 

  883. 

  884. <p>Returns yaw value of euler angles expressed in radians if GLM_FORCE_RADIANS is defined or degrees otherwise. </p>
    885. 

  885. <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>
    886. 

  886. 

  887. </div>
    888. 

  888. </div>
    889. 

  889. </div><!-- contents -->
    890. 

  890. <!-- start footer part -->
    891. 

  891. <hr class="footer"/><address class="footer"><small>
    892. 

  892. Generated by &#160;<a href="http://www.doxygen.org/index.html">
    893. 

  893. <img class="footer" src="doxygen.png" alt="doxygen"/>
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  894. </a> 1.8.5
    895. 

  895. </small></address>
    896. 

  896. </body>
    897. 

  897. </html>
    898.