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  40. <a href="#func-members">Functions</a>  </div>
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  42. <div class="title">GLM_GTC_quaternion<div class="ingroups"><a class="el" href="a00158.html">GTC Extensions (Stable)</a></div></div>  </div>
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  47. Functions</h2></td></tr>
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  48. <tr class="memitem:gad4a4448baedb198b2b1e7880d2544dc9"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
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  49. <tr class="memitem:gad4a4448baedb198b2b1e7880d2544dc9"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#gad4a4448baedb198b2b1e7880d2544dc9">angle</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
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  61. <tr class="memitem:gac54dfc83de465a2d03e90d342242ab3d"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#gac54dfc83de465a2d03e90d342242ab3d">dot</a> (quatType&lt; T, P &gt; const &amp;x, quatType&lt; T, P &gt; const &amp;y)</td></tr>
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  111. <tr class="memitem:ga3e4615e9884dd0f41f5617b9848a5d9c"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
    112. 

  112. <tr class="memitem:ga3e4615e9884dd0f41f5617b9848a5d9c"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga3e4615e9884dd0f41f5617b9848a5d9c">quat_cast</a> (tmat4x4&lt; T, P &gt; const &amp;x)</td></tr>
    113. 

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  114. <tr class="memitem:ga4fd705376c6c1fd667be0055a0ea58ec"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
    115. 

  115. <tr class="memitem:ga4fd705376c6c1fd667be0055a0ea58ec"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga4fd705376c6c1fd667be0055a0ea58ec">roll</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
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  116. <tr class="separator:ga4fd705376c6c1fd667be0055a0ea58ec"><td class="memSeparator" colspan="2">&#160;</td></tr>
    117. 

  117. <tr class="memitem:gaa8f42979c921e450ff2812fb43c25702"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
    118. 

  118. <tr class="memitem:gaa8f42979c921e450ff2812fb43c25702"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#gaa8f42979c921e450ff2812fb43c25702">rotate</a> (tquat&lt; T, P &gt; const &amp;q, T const &amp;angle, tvec3&lt; T, P &gt; const &amp;axis)</td></tr>
    119. 

  119. <tr class="separator:gaa8f42979c921e450ff2812fb43c25702"><td class="memSeparator" colspan="2">&#160;</td></tr>
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  120. <tr class="memitem:ga666d76650f3fa949e7aead0455d531c6"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
    121. 

  121. <tr class="memitem:ga666d76650f3fa949e7aead0455d531c6"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tquat&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga666d76650f3fa949e7aead0455d531c6">slerp</a> (tquat&lt; T, P &gt; const &amp;x, tquat&lt; T, P &gt; const &amp;y, T const &amp;a)</td></tr>
    122. 

  122. <tr class="separator:ga666d76650f3fa949e7aead0455d531c6"><td class="memSeparator" colspan="2">&#160;</td></tr>
    123. 

  123. <tr class="memitem:ga724a5df282b70cec0a6cb0d6dcddb6d6"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
    124. 

  124. <tr class="memitem:ga724a5df282b70cec0a6cb0d6dcddb6d6"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00174.html#ga724a5df282b70cec0a6cb0d6dcddb6d6">yaw</a> (tquat&lt; T, P &gt; const &amp;x)</td></tr>
    125. 

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    126. 

  126. </table>
    127. 

  127. <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
    128. 

  128. <p>Defines a templated quaternion type and several quaternion operations. </p>
    129. 

  129. <p>&lt;<a class="el" href="a00093.html" title="OpenGL Mathematics (glm.g-truc.net) ">glm/gtc/quaternion.hpp</a>&gt; need to be included to use these functionalities. </p>
    130. 

  130. <h2 class="groupheader">Function Documentation</h2>
    131. 

  131. <a class="anchor" id="gad4a4448baedb198b2b1e7880d2544dc9"></a>
    132. 

  132. <div class="memitem">
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  134.       <table class="memname">
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  135.         <tr>
    136. 

  136.           <td class="memname">GLM_FUNC_DECL T glm::angle </td>
    137. 

  137.           <td>(</td>
    138. 

  138.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    139. 

  139.           <td class="paramname"><em>x</em></td><td>)</td>
    140. 

  140.           <td></td>
    141. 

  141.         </tr>
    142. 

  142.       </table>
    143. 

  143. </div><div class="memdoc">
    144. 

  144. 

  145. <p>Returns the quaternion rotation angle. </p>
    146. 

  146. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    147. 

  147. 

  148. </div>
    149. 

  149. </div>
    150. 

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    151. 

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  153.       <table class="memname">
    154. 

  154.         <tr>
    155. 

  155.           <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::angleAxis </td>
    156. 

  156.           <td>(</td>
    157. 

  157.           <td class="paramtype">T const &amp;&#160;</td>
    158. 

  158.           <td class="paramname"><em>angle</em>, </td>
    159. 

  159.         </tr>
    160. 

  160.         <tr>
    161. 

  161.           <td class="paramkey"></td>
    162. 

  162.           <td></td>
    163. 

  163.           <td class="paramtype">tvec3&lt; T, P &gt; const &amp;&#160;</td>
    164. 

  164.           <td class="paramname"><em>axis</em>&#160;</td>
    165. 

  165.         </tr>
    166. 

  166.         <tr>
    167. 

  167.           <td></td>
    168. 

  168.           <td>)</td>
    169. 

  169.           <td></td><td></td>
    170. 

  170.         </tr>
    171. 

  171.       </table>
    172. 

  172. </div><div class="memdoc">
    173. 

  173. 

  174. <p>Build a quaternion from an angle and a normalized axis. </p>
    175. 

  175. <dl class="params"><dt>Parameters</dt><dd>
    176. 

  176.   <table class="params">
    177. 

  177.     <tr><td class="paramname">angle</td><td>Angle expressed in radians. </td></tr>
    178. 

  178.     <tr><td class="paramname">axis</td><td>Axis of the quaternion, must be normalized.</td></tr>
    179. 

  179.   </table>
    180. 

  180.   </dd>
    181. 

  181. </dl>
    182. 

  182. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    183. 

  183. 

  184. </div>
    185. 

  185. </div>
    186. 

  186. <a class="anchor" id="ga0b3e87a13b2708154b72259e50789a19"></a>
    187. 

  187. <div class="memitem">
    188. 

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    189. 

  189.       <table class="memname">
    190. 

  190.         <tr>
    191. 

  191.           <td class="memname">GLM_FUNC_DECL tvec3&lt;T, P&gt; glm::axis </td>
    192. 

  192.           <td>(</td>
    193. 

  193.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    194. 

  194.           <td class="paramname"><em>x</em></td><td>)</td>
    195. 

  195.           <td></td>
    196. 

  196.         </tr>
    197. 

  197.       </table>
    198. 

  198. </div><div class="memdoc">
    199. 

  199. 

  200. <p>Returns the q rotation axis. </p>
    201. 

  201. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    202. 

  202. 

  203. </div>
    204. 

  204. </div>
    205. 

  205. <a class="anchor" id="gab1ace864fbf189ffa368950001808a3c"></a>
    206. 

  206. <div class="memitem">
    207. 

  207. <div class="memproto">
    208. 

  208.       <table class="memname">
    209. 

  209.         <tr>
    210. 

  210.           <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::conjugate </td>
    211. 

  211.           <td>(</td>
    212. 

  212.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    213. 

  213.           <td class="paramname"><em>q</em></td><td>)</td>
    214. 

  214.           <td></td>
    215. 

  215.         </tr>
    216. 

  216.       </table>
    217. 

  217. </div><div class="memdoc">
    218. 

  218. 

  219. <p>Returns the q conjugate. </p>
    220. 

  220. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    221. 

  221. 

  222. </div>
    223. 

  223. </div>
    224. 

  224. <a class="anchor" id="gac54dfc83de465a2d03e90d342242ab3d"></a>
    225. 

  225. <div class="memitem">
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  227.       <table class="memname">
    228. 

  228.         <tr>
    229. 

  229.           <td class="memname">GLM_FUNC_DECL T glm::dot </td>
    230. 

  230.           <td>(</td>
    231. 

  231.           <td class="paramtype">quatType&lt; T, P &gt; const &amp;&#160;</td>
    232. 

  232.           <td class="paramname"><em>x</em>, </td>
    233. 

  233.         </tr>
    234. 

  234.         <tr>
    235. 

  235.           <td class="paramkey"></td>
    236. 

  236.           <td></td>
    237. 

  237.           <td class="paramtype">quatType&lt; T, P &gt; const &amp;&#160;</td>
    238. 

  238.           <td class="paramname"><em>y</em>&#160;</td>
    239. 

  239.         </tr>
    240. 

  240.         <tr>
    241. 

  241.           <td></td>
    242. 

  242.           <td>)</td>
    243. 

  243.           <td></td><td></td>
    244. 

  244.         </tr>
    245. 

  245.       </table>
    246. 

  246. </div><div class="memdoc">
    247. 

  247. 

  248. <p>Returns dot product of q1 and q2, i.e., q1[0] * q2[0] + q1[1] * q2[1] + ... </p>
    249. 

  249. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    250. 

  250. 

  251. </div>
    252. 

  252. </div>
    253. 

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  254. <div class="memitem">
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  256.       <table class="memname">
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  257.         <tr>
    258. 

  258.           <td class="memname">GLM_FUNC_DECL tvec4&lt;bool, P&gt; glm::equal </td>
    259. 

  259.           <td>(</td>
    260. 

  260.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    261. 

  261.           <td class="paramname"><em>x</em>, </td>
    262. 

  262.         </tr>
    263. 

  263.         <tr>
    264. 

  264.           <td class="paramkey"></td>
    265. 

  265.           <td></td>
    266. 

  266.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    267. 

  267.           <td class="paramname"><em>y</em>&#160;</td>
    268. 

  268.         </tr>
    269. 

  269.         <tr>
    270. 

  270.           <td></td>
    271. 

  271.           <td>)</td>
    272. 

  272.           <td></td><td></td>
    273. 

  273.         </tr>
    274. 

  274.       </table>
    275. 

  275. </div><div class="memdoc">
    276. 

  276. 

  277. <p>Returns the component-wise comparison of result x == y. </p>
    278. 

  278. <dl class="tparams"><dt>Template Parameters</dt><dd>
    279. 

  279.   <table class="tparams">
    280. 

  280.     <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
    281. 

  281.   </table>
    282. 

  282.   </dd>
    283. 

  283. </dl>
    284. 

  284. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    285. 

  285. 

  286. </div>
    287. 

  287. </div>
    288. 

  288. <a class="anchor" id="gadb92ec1c1b0dd6b024176a73fbef3e64"></a>
    289. 

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  291.       <table class="memname">
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  292.         <tr>
    293. 

  293.           <td class="memname">GLM_FUNC_DECL tvec3&lt;T, P&gt; glm::eulerAngles </td>
    294. 

  294.           <td>(</td>
    295. 

  295.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    296. 

  296.           <td class="paramname"><em>x</em></td><td>)</td>
    297. 

  297.           <td></td>
    298. 

  298.         </tr>
    299. 

  299.       </table>
    300. 

  300. </div><div class="memdoc">
    301. 

  301. 

  302. <p>Returns euler angles, yitch as x, yaw as y, roll as z. </p>
    303. 

  303. <p>The result is expressed in radians if GLM_FORCE_RADIANS is defined or degrees otherwise.</p>
    304. 

  304. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    305. 

  305. 

  306. </div>
    307. 

  307. </div>
    308. 

  308. <a class="anchor" id="ga09d21a588ae425ac7517ea65cc59a5ae"></a>
    309. 

  309. <div class="memitem">
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  311.       <table class="memname">
    312. 

  312.         <tr>
    313. 

  313.           <td class="memname">GLM_FUNC_DECL tvec4&lt;bool, P&gt; glm::greaterThan </td>
    314. 

  314.           <td>(</td>
    315. 

  315.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    316. 

  316.           <td class="paramname"><em>x</em>, </td>
    317. 

  317.         </tr>
    318. 

  318.         <tr>
    319. 

  319.           <td class="paramkey"></td>
    320. 

  320.           <td></td>
    321. 

  321.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    322. 

  322.           <td class="paramname"><em>y</em>&#160;</td>
    323. 

  323.         </tr>
    324. 

  324.         <tr>
    325. 

  325.           <td></td>
    326. 

  326.           <td>)</td>
    327. 

  327.           <td></td><td></td>
    328. 

  328.         </tr>
    329. 

  329.       </table>
    330. 

  330. </div><div class="memdoc">
    331. 

  331. 

  332. <p>Returns the component-wise comparison of result x &gt; y. </p>
    333. 

  333. <dl class="tparams"><dt>Template Parameters</dt><dd>
    334. 

  334.   <table class="tparams">
    335. 

  335.     <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
    336. 

  336.   </table>
    337. 

  337.   </dd>
    338. 

  338. </dl>
    339. 

  339. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    340. 

  340. 

  341. </div>
    342. 

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    343. 

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    344. 

  344. <div class="memitem">
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    347. 

  347.         <tr>
    348. 

  348.           <td class="memname">GLM_FUNC_DECL tvec4&lt;bool, P&gt; glm::greaterThanEqual </td>
    349. 

  349.           <td>(</td>
    350. 

  350.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    351. 

  351.           <td class="paramname"><em>x</em>, </td>
    352. 

  352.         </tr>
    353. 

  353.         <tr>
    354. 

  354.           <td class="paramkey"></td>
    355. 

  355.           <td></td>
    356. 

  356.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    357. 

  357.           <td class="paramname"><em>y</em>&#160;</td>
    358. 

  358.         </tr>
    359. 

  359.         <tr>
    360. 

  360.           <td></td>
    361. 

  361.           <td>)</td>
    362. 

  362.           <td></td><td></td>
    363. 

  363.         </tr>
    364. 

  364.       </table>
    365. 

  365. </div><div class="memdoc">
    366. 

  366. 

  367. <p>Returns the component-wise comparison of result x &gt;= y. </p>
    368. 

  368. <dl class="tparams"><dt>Template Parameters</dt><dd>
    369. 

  369.   <table class="tparams">
    370. 

  370.     <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
    371. 

  371.   </table>
    372. 

  372.   </dd>
    373. 

  373. </dl>
    374. 

  374. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    375. 

  375. 

  376. </div>
    377. 

  377. </div>
    378. 

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    379. 

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    382. 

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    383. 

  383.           <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::inverse </td>
    384. 

  384.           <td>(</td>
    385. 

  385.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    386. 

  386.           <td class="paramname"><em>q</em></td><td>)</td>
    387. 

  387.           <td></td>
    388. 

  388.         </tr>
    389. 

  389.       </table>
    390. 

  390. </div><div class="memdoc">
    391. 

  391. 

  392. <p>Returns the q inverse. </p>
    393. 

  393. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    394. 

  394. 

  395. </div>
    396. 

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    397. 

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    401. 

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    402. 

  402.           <td class="memname">GLM_FUNC_DECL T glm::length </td>
    403. 

  403.           <td>(</td>
    404. 

  404.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    405. 

  405.           <td class="paramname"><em>q</em></td><td>)</td>
    406. 

  406.           <td></td>
    407. 

  407.         </tr>
    408. 

  408.       </table>
    409. 

  409. </div><div class="memdoc">
    410. 

  410. 

  411. <p>Returns the length of the quaternion. </p>
    412. 

  412. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    413. 

  413. 

  414. </div>
    415. 

  415. </div>
    416. 

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    417. 

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  421.           <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::lerp </td>
    422. 

  422.           <td>(</td>
    423. 

  423.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    424. 

  424.           <td class="paramname"><em>x</em>, </td>
    425. 

  425.         </tr>
    426. 

  426.         <tr>
    427. 

  427.           <td class="paramkey"></td>
    428. 

  428.           <td></td>
    429. 

  429.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    430. 

  430.           <td class="paramname"><em>y</em>, </td>
    431. 

  431.         </tr>
    432. 

  432.         <tr>
    433. 

  433.           <td class="paramkey"></td>
    434. 

  434.           <td></td>
    435. 

  435.           <td class="paramtype">T const &amp;&#160;</td>
    436. 

  436.           <td class="paramname"><em>a</em>&#160;</td>
    437. 

  437.         </tr>
    438. 

  438.         <tr>
    439. 

  439.           <td></td>
    440. 

  440.           <td>)</td>
    441. 

  441.           <td></td><td></td>
    442. 

  442.         </tr>
    443. 

  443.       </table>
    444. 

  444. </div><div class="memdoc">
    445. 

  445. 

  446. <p>Linear interpolation of two quaternions. </p>
    447. 

  447. <p>The interpolation is oriented.</p>
    448. 

  448. <dl class="params"><dt>Parameters</dt><dd>
    449. 

  449.   <table class="params">
    450. 

  450.     <tr><td class="paramname">x</td><td>A quaternion </td></tr>
    451. 

  451.     <tr><td class="paramname">y</td><td>A quaternion </td></tr>
    452. 

  452.     <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined in the range [0, 1]. </td></tr>
    453. 

  453.   </table>
    454. 

  454.   </dd>
    455. 

  455. </dl>
    456. 

  456. <dl class="tparams"><dt>Template Parameters</dt><dd>
    457. 

  457.   <table class="tparams">
    458. 

  458.     <tr><td class="paramname">T</td><td>Value type used to build the quaternion. Supported: half, float or double. </td></tr>
    459. 

  459.   </table>
    460. 

  460.   </dd>
    461. 

  461. </dl>
    462. 

  462. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    463. 

  463. 

  464. </div>
    465. 

  465. </div>
    466. 

  466. <a class="anchor" id="ga91a40d16a3b5bb47d71ac1a3fb688ffa"></a>
    467. 

  467. <div class="memitem">
    468. 

  468. <div class="memproto">
    469. 

  469.       <table class="memname">
    470. 

  470.         <tr>
    471. 

  471.           <td class="memname">GLM_FUNC_DECL tvec4&lt;bool, P&gt; glm::lessThan </td>
    472. 

  472.           <td>(</td>
    473. 

  473.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    474. 

  474.           <td class="paramname"><em>x</em>, </td>
    475. 

  475.         </tr>
    476. 

  476.         <tr>
    477. 

  477.           <td class="paramkey"></td>
    478. 

  478.           <td></td>
    479. 

  479.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    480. 

  480.           <td class="paramname"><em>y</em>&#160;</td>
    481. 

  481.         </tr>
    482. 

  482.         <tr>
    483. 

  483.           <td></td>
    484. 

  484.           <td>)</td>
    485. 

  485.           <td></td><td></td>
    486. 

  486.         </tr>
    487. 

  487.       </table>
    488. 

  488. </div><div class="memdoc">
    489. 

  489. 

  490. <p>Returns the component-wise comparison result of x &lt; y. </p>
    491. 

  491. <dl class="tparams"><dt>Template Parameters</dt><dd>
    492. 

  492.   <table class="tparams">
    493. 

  493.     <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
    494. 

  494.   </table>
    495. 

  495.   </dd>
    496. 

  496. </dl>
    497. 

  497. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    498. 

  498. 

  499. </div>
    500. 

  500. </div>
    501. 

  501. <a class="anchor" id="ga7c81996ed2724f26fe76faf352c76294"></a>
    502. 

  502. <div class="memitem">
    503. 

  503. <div class="memproto">
    504. 

  504.       <table class="memname">
    505. 

  505.         <tr>
    506. 

  506.           <td class="memname">GLM_FUNC_DECL tvec4&lt;bool, P&gt; glm::lessThanEqual </td>
    507. 

  507.           <td>(</td>
    508. 

  508.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    509. 

  509.           <td class="paramname"><em>x</em>, </td>
    510. 

  510.         </tr>
    511. 

  511.         <tr>
    512. 

  512.           <td class="paramkey"></td>
    513. 

  513.           <td></td>
    514. 

  514.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    515. 

  515.           <td class="paramname"><em>y</em>&#160;</td>
    516. 

  516.         </tr>
    517. 

  517.         <tr>
    518. 

  518.           <td></td>
    519. 

  519.           <td>)</td>
    520. 

  520.           <td></td><td></td>
    521. 

  521.         </tr>
    522. 

  522.       </table>
    523. 

  523. </div><div class="memdoc">
    524. 

  524. 

  525. <p>Returns the component-wise comparison of result x &lt;= y. </p>
    526. 

  526. <dl class="tparams"><dt>Template Parameters</dt><dd>
    527. 

  527.   <table class="tparams">
    528. 

  528.     <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
    529. 

  529.   </table>
    530. 

  530.   </dd>
    531. 

  531. </dl>
    532. 

  532. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    533. 

  533. 

  534. </div>
    535. 

  535. </div>
    536. 

  536. <a class="anchor" id="gae04c39422eb4e450ec8c4f45a1057b40"></a>
    537. 

  537. <div class="memitem">
    538. 

  538. <div class="memproto">
    539. 

  539.       <table class="memname">
    540. 

  540.         <tr>
    541. 

  541.           <td class="memname">GLM_FUNC_DECL tmat3x3&lt;T, P&gt; glm::mat3_cast </td>
    542. 

  542.           <td>(</td>
    543. 

  543.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    544. 

  544.           <td class="paramname"><em>x</em></td><td>)</td>
    545. 

  545.           <td></td>
    546. 

  546.         </tr>
    547. 

  547.       </table>
    548. 

  548. </div><div class="memdoc">
    549. 

  549. 

  550. <p>Converts a quaternion to a 3 * 3 matrix. </p>
    551. 

  551. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    552. 

  552. 

  553. <p>Referenced by <a class="el" href="a00094_source.html#l00153">glm::toMat3()</a>.</p>
    554. 

  554. 

  555. </div>
    556. 

  556. </div>
    557. 

  557. <a class="anchor" id="ga14bb2ddf028c91542763eb6f2bba47ef"></a>
    558. 

  558. <div class="memitem">
    559. 

  559. <div class="memproto">
    560. 

  560.       <table class="memname">
    561. 

  561.         <tr>
    562. 

  562.           <td class="memname">GLM_FUNC_DECL tmat4x4&lt;T, P&gt; glm::mat4_cast </td>
    563. 

  563.           <td>(</td>
    564. 

  564.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    565. 

  565.           <td class="paramname"><em>x</em></td><td>)</td>
    566. 

  566.           <td></td>
    567. 

  567.         </tr>
    568. 

  568.       </table>
    569. 

  569. </div><div class="memdoc">
    570. 

  570. 

  571. <p>Converts a quaternion to a 4 * 4 matrix. </p>
    572. 

  572. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    573. 

  573. 

  574. <p>Referenced by <a class="el" href="a00094_source.html#l00160">glm::toMat4()</a>.</p>
    575. 

  575. 

  576. </div>
    577. 

  577. </div>
    578. 

  578. <a class="anchor" id="gaf8a31672f9c0582d1a0bc2a122ee2153"></a>
    579. 

  579. <div class="memitem">
    580. 

  580. <div class="memproto">
    581. 

  581.       <table class="memname">
    582. 

  582.         <tr>
    583. 

  583.           <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::mix </td>
    584. 

  584.           <td>(</td>
    585. 

  585.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    586. 

  586.           <td class="paramname"><em>x</em>, </td>
    587. 

  587.         </tr>
    588. 

  588.         <tr>
    589. 

  589.           <td class="paramkey"></td>
    590. 

  590.           <td></td>
    591. 

  591.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    592. 

  592.           <td class="paramname"><em>y</em>, </td>
    593. 

  593.         </tr>
    594. 

  594.         <tr>
    595. 

  595.           <td class="paramkey"></td>
    596. 

  596.           <td></td>
    597. 

  597.           <td class="paramtype">T const &amp;&#160;</td>
    598. 

  598.           <td class="paramname"><em>a</em>&#160;</td>
    599. 

  599.         </tr>
    600. 

  600.         <tr>
    601. 

  601.           <td></td>
    602. 

  602.           <td>)</td>
    603. 

  603.           <td></td><td></td>
    604. 

  604.         </tr>
    605. 

  605.       </table>
    606. 

  606. </div><div class="memdoc">
    607. 

  607. 

  608. <p>Spherical linear interpolation of two quaternions. </p>
    609. 

  609. <p>The interpolation is oriented and the rotation is performed at constant speed. For short path spherical linear interpolation, use the slerp function.</p>
    610. 

  610. <dl class="params"><dt>Parameters</dt><dd>
    611. 

  611.   <table class="params">
    612. 

  612.     <tr><td class="paramname">x</td><td>A quaternion </td></tr>
    613. 

  613.     <tr><td class="paramname">y</td><td>A quaternion </td></tr>
    614. 

  614.     <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined beyond the range [0, 1]. </td></tr>
    615. 

  615.   </table>
    616. 

  616.   </dd>
    617. 

  617. </dl>
    618. 

  618. <dl class="tparams"><dt>Template Parameters</dt><dd>
    619. 

  619.   <table class="tparams">
    620. 

  620.     <tr><td class="paramname">T</td><td>Value type used to build the quaternion. Supported: half, float or double. </td></tr>
    621. 

  621.   </table>
    622. 

  622.   </dd>
    623. 

  623. </dl>
    624. 

  624. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd>
    625. 

  625. <dd>
    626. 

  626. - slerp(tquat&lt;T, P&gt; const &amp; x, tquat&lt;T, P&gt; const &amp; y, T const &amp; a) </dd></dl>
    627. 

  627. 

  628. </div>
    629. 

  629. </div>
    630. 

  630. <a class="anchor" id="ga35b6bcb22ac6d1e4a85440f5b69bdf86"></a>
    631. 

  631. <div class="memitem">
    632. 

  632. <div class="memproto">
    633. 

  633.       <table class="memname">
    634. 

  634.         <tr>
    635. 

  635.           <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::normalize </td>
    636. 

  636.           <td>(</td>
    637. 

  637.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    638. 

  638.           <td class="paramname"><em>q</em></td><td>)</td>
    639. 

  639.           <td></td>
    640. 

  640.         </tr>
    641. 

  641.       </table>
    642. 

  642. </div><div class="memdoc">
    643. 

  643. 

  644. <p>Returns the normalized quaternion. </p>
    645. 

  645. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    646. 

  646. 

  647. </div>
    648. 

  648. </div>
    649. 

  649. <a class="anchor" id="ga484c4633f7c05d8e29ee8b452350f539"></a>
    650. 

  650. <div class="memitem">
    651. 

  651. <div class="memproto">
    652. 

  652.       <table class="memname">
    653. 

  653.         <tr>
    654. 

  654.           <td class="memname">GLM_FUNC_DECL tvec4&lt;bool, P&gt; glm::notEqual </td>
    655. 

  655.           <td>(</td>
    656. 

  656.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    657. 

  657.           <td class="paramname"><em>x</em>, </td>
    658. 

  658.         </tr>
    659. 

  659.         <tr>
    660. 

  660.           <td class="paramkey"></td>
    661. 

  661.           <td></td>
    662. 

  662.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    663. 

  663.           <td class="paramname"><em>y</em>&#160;</td>
    664. 

  664.         </tr>
    665. 

  665.         <tr>
    666. 

  666.           <td></td>
    667. 

  667.           <td>)</td>
    668. 

  668.           <td></td><td></td>
    669. 

  669.         </tr>
    670. 

  670.       </table>
    671. 

  671. </div><div class="memdoc">
    672. 

  672. 

  673. <p>Returns the component-wise comparison of result x != y. </p>
    674. 

  674. <dl class="tparams"><dt>Template Parameters</dt><dd>
    675. 

  675.   <table class="tparams">
    676. 

  676.     <tr><td class="paramname">quatType</td><td>Floating-point quaternion types.</td></tr>
    677. 

  677.   </table>
    678. 

  678.   </dd>
    679. 

  679. </dl>
    680. 

  680. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    681. 

  681. 

  682. </div>
    683. 

  683. </div>
    684. 

  684. <a class="anchor" id="ga2c08b93a4261c10748fd4d2104346f17"></a>
    685. 

  685. <div class="memitem">
    686. 

  686. <div class="memproto">
    687. 

  687.       <table class="memname">
    688. 

  688.         <tr>
    689. 

  689.           <td class="memname">GLM_FUNC_DECL T glm::pitch </td>
    690. 

  690.           <td>(</td>
    691. 

  691.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    692. 

  692.           <td class="paramname"><em>x</em></td><td>)</td>
    693. 

  693.           <td></td>
    694. 

  694.         </tr>
    695. 

  695.       </table>
    696. 

  696. </div><div class="memdoc">
    697. 

  697. 

  698. <p>Returns pitch value of euler angles expressed in radians. </p>
    699. 

  699. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00221.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
    700. 

  700. 

  701. </div>
    702. 

  702. </div>
    703. 

  703. <a class="anchor" id="ga950f8acff3e33bbda77895a3dcb7e5ce"></a>
    704. 

  704. <div class="memitem">
    705. 

  705. <div class="memproto">
    706. 

  706.       <table class="memname">
    707. 

  707.         <tr>
    708. 

  708.           <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::quat_cast </td>
    709. 

  709.           <td>(</td>
    710. 

  710.           <td class="paramtype">tmat3x3&lt; T, P &gt; const &amp;&#160;</td>
    711. 

  711.           <td class="paramname"><em>x</em></td><td>)</td>
    712. 

  712.           <td></td>
    713. 

  713.         </tr>
    714. 

  714.       </table>
    715. 

  715. </div><div class="memdoc">
    716. 

  716. 

  717. <p>Converts a 3 * 3 matrix to a quaternion. </p>
    718. 

  718. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    719. 

  719. 

  720. <p>Referenced by <a class="el" href="a00094_source.html#l00167">glm::toQuat()</a>.</p>
    721. 

  721. 

  722. </div>
    723. 

  723. </div>
    724. 

  724. <a class="anchor" id="ga3e4615e9884dd0f41f5617b9848a5d9c"></a>
    725. 

  725. <div class="memitem">
    726. 

  726. <div class="memproto">
    727. 

  727.       <table class="memname">
    728. 

  728.         <tr>
    729. 

  729.           <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::quat_cast </td>
    730. 

  730.           <td>(</td>
    731. 

  731.           <td class="paramtype">tmat4x4&lt; T, P &gt; const &amp;&#160;</td>
    732. 

  732.           <td class="paramname"><em>x</em></td><td>)</td>
    733. 

  733.           <td></td>
    734. 

  734.         </tr>
    735. 

  735.       </table>
    736. 

  736. </div><div class="memdoc">
    737. 

  737. 

  738. <p>Converts a 4 * 4 matrix to a quaternion. </p>
    739. 

  739. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    740. 

  740. 

  741. </div>
    742. 

  742. </div>
    743. 

  743. <a class="anchor" id="ga4fd705376c6c1fd667be0055a0ea58ec"></a>
    744. 

  744. <div class="memitem">
    745. 

  745. <div class="memproto">
    746. 

  746.       <table class="memname">
    747. 

  747.         <tr>
    748. 

  748.           <td class="memname">GLM_FUNC_DECL T glm::roll </td>
    749. 

  749.           <td>(</td>
    750. 

  750.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    751. 

  751.           <td class="paramname"><em>x</em></td><td>)</td>
    752. 

  752.           <td></td>
    753. 

  753.         </tr>
    754. 

  754.       </table>
    755. 

  755. </div><div class="memdoc">
    756. 

  756. 

  757. <p>Returns roll value of euler angles expressed in radians. </p>
    758. 

  758. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00221.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
    759. 

  759. 

  760. </div>
    761. 

  761. </div>
    762. 

  762. <a class="anchor" id="gaa8f42979c921e450ff2812fb43c25702"></a>
    763. 

  763. <div class="memitem">
    764. 

  764. <div class="memproto">
    765. 

  765.       <table class="memname">
    766. 

  766.         <tr>
    767. 

  767.           <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::rotate </td>
    768. 

  768.           <td>(</td>
    769. 

  769.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    770. 

  770.           <td class="paramname"><em>q</em>, </td>
    771. 

  771.         </tr>
    772. 

  772.         <tr>
    773. 

  773.           <td class="paramkey"></td>
    774. 

  774.           <td></td>
    775. 

  775.           <td class="paramtype">T const &amp;&#160;</td>
    776. 

  776.           <td class="paramname"><em>angle</em>, </td>
    777. 

  777.         </tr>
    778. 

  778.         <tr>
    779. 

  779.           <td class="paramkey"></td>
    780. 

  780.           <td></td>
    781. 

  781.           <td class="paramtype">tvec3&lt; T, P &gt; const &amp;&#160;</td>
    782. 

  782.           <td class="paramname"><em>axis</em>&#160;</td>
    783. 

  783.         </tr>
    784. 

  784.         <tr>
    785. 

  785.           <td></td>
    786. 

  786.           <td>)</td>
    787. 

  787.           <td></td><td></td>
    788. 

  788.         </tr>
    789. 

  789.       </table>
    790. 

  790. </div><div class="memdoc">
    791. 

  791. 

  792. <p>Rotates a quaternion from a vector of 3 components axis and an angle. </p>
    793. 

  793. <dl class="params"><dt>Parameters</dt><dd>
    794. 

  794.   <table class="params">
    795. 

  795.     <tr><td class="paramname">q</td><td>Source orientation </td></tr>
    796. 

  796.     <tr><td class="paramname">angle</td><td>Angle expressed in radians. </td></tr>
    797. 

  797.     <tr><td class="paramname">axis</td><td>Axis of the rotation</td></tr>
    798. 

  798.   </table>
    799. 

  799.   </dd>
    800. 

  800. </dl>
    801. 

  801. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a> </dd></dl>
    802. 

  802. 

  803. </div>
    804. 

  804. </div>
    805. 

  805. <a class="anchor" id="ga666d76650f3fa949e7aead0455d531c6"></a>
    806. 

  806. <div class="memitem">
    807. 

  807. <div class="memproto">
    808. 

  808.       <table class="memname">
    809. 

  809.         <tr>
    810. 

  810.           <td class="memname">GLM_FUNC_DECL tquat&lt;T, P&gt; glm::slerp </td>
    811. 

  811.           <td>(</td>
    812. 

  812.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    813. 

  813.           <td class="paramname"><em>x</em>, </td>
    814. 

  814.         </tr>
    815. 

  815.         <tr>
    816. 

  816.           <td class="paramkey"></td>
    817. 

  817.           <td></td>
    818. 

  818.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    819. 

  819.           <td class="paramname"><em>y</em>, </td>
    820. 

  820.         </tr>
    821. 

  821.         <tr>
    822. 

  822.           <td class="paramkey"></td>
    823. 

  823.           <td></td>
    824. 

  824.           <td class="paramtype">T const &amp;&#160;</td>
    825. 

  825.           <td class="paramname"><em>a</em>&#160;</td>
    826. 

  826.         </tr>
    827. 

  827.         <tr>
    828. 

  828.           <td></td>
    829. 

  829.           <td>)</td>
    830. 

  830.           <td></td><td></td>
    831. 

  831.         </tr>
    832. 

  832.       </table>
    833. 

  833. </div><div class="memdoc">
    834. 

  834. 

  835. <p>Spherical linear interpolation of two quaternions. </p>
    836. 

  836. <p>The interpolation always take the short path and the rotation is performed at constant speed.</p>
    837. 

  837. <dl class="params"><dt>Parameters</dt><dd>
    838. 

  838.   <table class="params">
    839. 

  839.     <tr><td class="paramname">x</td><td>A quaternion </td></tr>
    840. 

  840.     <tr><td class="paramname">y</td><td>A quaternion </td></tr>
    841. 

  841.     <tr><td class="paramname">a</td><td>Interpolation factor. The interpolation is defined beyond the range [0, 1]. </td></tr>
    842. 

  842.   </table>
    843. 

  843.   </dd>
    844. 

  844. </dl>
    845. 

  845. <dl class="tparams"><dt>Template Parameters</dt><dd>
    846. 

  846.   <table class="tparams">
    847. 

  847.     <tr><td class="paramname">T</td><td>Value type used to build the quaternion. Supported: half, float or double. </td></tr>
    848. 

  848.   </table>
    849. 

  849.   </dd>
    850. 

  850. </dl>
    851. 

  851. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00174.html" title="Defines a templated quaternion type and several quaternion operations. ">GLM_GTC_quaternion</a></dd></dl>
    852. 

  852. <p>Spherical linear interpolation of two quaternions. </p>
    853. 

  853. 

  854. <p>Definition at line <a class="el" href="a00015_source.html#l00076">76</a> of file <a class="el" href="a00015_source.html">compatibility.hpp</a>.</p>
    855. 

  855. 

  856. <p>References <a class="el" href="a00149.html#gadccbaffe46f369cf1a96b2aef92cbfdd">glm::mix()</a>.</p>
    857. 

  857. 

  858. </div>
    859. 

  859. </div>
    860. 

  860. <a class="anchor" id="ga724a5df282b70cec0a6cb0d6dcddb6d6"></a>
    861. 

  861. <div class="memitem">
    862. 

  862. <div class="memproto">
    863. 

  863.       <table class="memname">
    864. 

  864.         <tr>
    865. 

  865.           <td class="memname">GLM_FUNC_DECL T glm::yaw </td>
    866. 

  866.           <td>(</td>
    867. 

  867.           <td class="paramtype">tquat&lt; T, P &gt; const &amp;&#160;</td>
    868. 

  868.           <td class="paramname"><em>x</em></td><td>)</td>
    869. 

  869.           <td></td>
    870. 

  870.         </tr>
    871. 

  871.       </table>
    872. 

  872. </div><div class="memdoc">
    873. 

  873. 

  874. <p>Returns yaw value of euler angles expressed in radians. </p>
    875. 

  875. <dl class="section see"><dt>See also</dt><dd><a class="el" href="a00221.html" title="Extented quaternion types and functions. ">GLM_GTX_quaternion</a> </dd></dl>
    876. 

  876. 

  877. </div>
    878. 

  878. </div>
    879. 

  879. </div><!-- contents -->
    880. 

  880. <!-- start footer part -->
    881. 

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    882. 

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  883. <img class="footer" src="doxygen.png" alt="doxygen"/>
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  884. </a> 1.8.8
    885. 

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    886. 

  886. </body>
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    888.