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  34. <div class="header">
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  36. <a href="#func-members">Functions</a> </div>
  37. <div class="headertitle">
  38. <div class="title">Angle and Trigonometry Functions</div> </div>
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  40. <div class="contents">
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  42. <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
  43. Functions</h2></td></tr>
  44. <tr class="memitem:gafef7954b5fa3228f4aaabde8dfa862a1"><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
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  84. <tr class="memitem:ga43860bed05c85587e2d931b26d765640"><td class="memTemplItemLeft" align="right" valign="top">genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00136.html#ga43860bed05c85587e2d931b26d765640">tan</a> (genType const &amp;angle)</td></tr>
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  87. <tr class="memitem:ga5315f571fd52f30d368abc056c4aea13"><td class="memTemplItemLeft" align="right" valign="top">genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00136.html#ga5315f571fd52f30d368abc056c4aea13">tanh</a> (genType const &amp;angle)</td></tr>
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  89. </table>
  90. <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
  91. <p>Function parameters specified as angle are assumed to be in units of radians. </p>
  92. <p>In no case will any of these functions result in a divide by zero error. If the divisor of a ratio is 0, then results will be undefined.</p>
  93. <p>These all operate component-wise. The description is per component. </p>
  94. <h2 class="groupheader">Function Documentation</h2>
  95. <a class="anchor" id="gafef7954b5fa3228f4aaabde8dfa862a1"></a>
  96. <div class="memitem">
  97. <div class="memproto">
  98. <table class="memname">
  99. <tr>
  100. <td class="memname">genType glm::acos </td>
  101. <td>(</td>
  102. <td class="paramtype">genType const &amp;&#160;</td>
  103. <td class="paramname"><em>x</em></td><td>)</td>
  104. <td></td>
  105. </tr>
  106. </table>
  107. </div><div class="memdoc">
  108. <p>Arc cosine. </p>
  109. <p>Returns an angle whose sine is x. The range of values returned by this function is [0, PI]. Results are undefined if |x| &gt; 1.</p>
  110. <dl class="tparams"><dt>Template Parameters</dt><dd>
  111. <table class="tparams">
  112. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  113. </table>
  114. </dd>
  115. </dl>
  116. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/acos.xml">GLSL acos man page</a> </dd>
  117. <dd>
  118. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
  119. </div>
  120. </div>
  121. <a class="anchor" id="ga0f37ff6b6878a0169cd41249e5377e09"></a>
  122. <div class="memitem">
  123. <div class="memproto">
  124. <table class="memname">
  125. <tr>
  126. <td class="memname">genType glm::acosh </td>
  127. <td>(</td>
  128. <td class="paramtype">genType const &amp;&#160;</td>
  129. <td class="paramname"><em>x</em></td><td>)</td>
  130. <td></td>
  131. </tr>
  132. </table>
  133. </div><div class="memdoc">
  134. <p>Arc hyperbolic cosine; returns the non-negative inverse of cosh. </p>
  135. <p>Results are undefined if x &lt; 1.</p>
  136. <dl class="tparams"><dt>Template Parameters</dt><dd>
  137. <table class="tparams">
  138. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  139. </table>
  140. </dd>
  141. </dl>
  142. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/acosh.xml">GLSL acosh man page</a> </dd>
  143. <dd>
  144. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
  145. </div>
  146. </div>
  147. <a class="anchor" id="ga76b6422e62c99fa0849abdf21fcef5cf"></a>
  148. <div class="memitem">
  149. <div class="memproto">
  150. <table class="memname">
  151. <tr>
  152. <td class="memname">genType glm::asin </td>
  153. <td>(</td>
  154. <td class="paramtype">genType const &amp;&#160;</td>
  155. <td class="paramname"><em>x</em></td><td>)</td>
  156. <td></td>
  157. </tr>
  158. </table>
  159. </div><div class="memdoc">
  160. <p>Arc sine. </p>
  161. <p>Returns an angle whose sine is x. The range of values returned by this function is [-PI/2, PI/2]. Results are undefined if |x| &gt; 1.</p>
  162. <dl class="tparams"><dt>Template Parameters</dt><dd>
  163. <table class="tparams">
  164. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  165. </table>
  166. </dd>
  167. </dl>
  168. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/asin.xml">GLSL asin man page</a> </dd>
  169. <dd>
  170. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
  171. </div>
  172. </div>
  173. <a class="anchor" id="ga615d386dcfb41cdbbca2609c53113aac"></a>
  174. <div class="memitem">
  175. <div class="memproto">
  176. <table class="memname">
  177. <tr>
  178. <td class="memname">genType glm::asinh </td>
  179. <td>(</td>
  180. <td class="paramtype">genType const &amp;&#160;</td>
  181. <td class="paramname"><em>x</em></td><td>)</td>
  182. <td></td>
  183. </tr>
  184. </table>
  185. </div><div class="memdoc">
  186. <p>Arc hyperbolic sine; returns the inverse of sinh. </p>
  187. <dl class="tparams"><dt>Template Parameters</dt><dd>
  188. <table class="tparams">
  189. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  190. </table>
  191. </dd>
  192. </dl>
  193. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/asinh.xml">GLSL asinh man page</a> </dd>
  194. <dd>
  195. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
  196. </div>
  197. </div>
  198. <a class="anchor" id="ga2394d11075a74869cd88473c76722bc8"></a>
  199. <div class="memitem">
  200. <div class="memproto">
  201. <table class="memname">
  202. <tr>
  203. <td class="memname">genType glm::atan </td>
  204. <td>(</td>
  205. <td class="paramtype">genType const &amp;&#160;</td>
  206. <td class="paramname"><em>y</em>, </td>
  207. </tr>
  208. <tr>
  209. <td class="paramkey"></td>
  210. <td></td>
  211. <td class="paramtype">genType const &amp;&#160;</td>
  212. <td class="paramname"><em>x</em>&#160;</td>
  213. </tr>
  214. <tr>
  215. <td></td>
  216. <td>)</td>
  217. <td></td><td></td>
  218. </tr>
  219. </table>
  220. </div><div class="memdoc">
  221. <p>Arc tangent. </p>
  222. <p>Returns an angle whose tangent is y/x. The signs of x and y are used to determine what quadrant the angle is in. The range of values returned by this function is [-PI, PI]. Results are undefined if x and y are both 0.</p>
  223. <dl class="tparams"><dt>Template Parameters</dt><dd>
  224. <table class="tparams">
  225. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  226. </table>
  227. </dd>
  228. </dl>
  229. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/atan.xml">GLSL atan man page</a> </dd>
  230. <dd>
  231. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
  232. <p>Referenced by <a class="el" href="a00013_source.html#l00080">glm::atan2()</a>.</p>
  233. </div>
  234. </div>
  235. <a class="anchor" id="ga5db83034488156692939acb4f4e46fa6"></a>
  236. <div class="memitem">
  237. <div class="memproto">
  238. <table class="memname">
  239. <tr>
  240. <td class="memname">genType glm::atan </td>
  241. <td>(</td>
  242. <td class="paramtype">genType const &amp;&#160;</td>
  243. <td class="paramname"><em>y_over_x</em></td><td>)</td>
  244. <td></td>
  245. </tr>
  246. </table>
  247. </div><div class="memdoc">
  248. <p>Arc tangent. </p>
  249. <p>Returns an angle whose tangent is y_over_x. The range of values returned by this function is [-PI/2, PI/2].</p>
  250. <dl class="tparams"><dt>Template Parameters</dt><dd>
  251. <table class="tparams">
  252. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  253. </table>
  254. </dd>
  255. </dl>
  256. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/atan.xml">GLSL atan man page</a> </dd>
  257. <dd>
  258. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
  259. </div>
  260. </div>
  261. <a class="anchor" id="gadeda850d5dff43d4d069854b1b6a623c"></a>
  262. <div class="memitem">
  263. <div class="memproto">
  264. <table class="memname">
  265. <tr>
  266. <td class="memname">genType glm::atanh </td>
  267. <td>(</td>
  268. <td class="paramtype">genType const &amp;&#160;</td>
  269. <td class="paramname"><em>x</em></td><td>)</td>
  270. <td></td>
  271. </tr>
  272. </table>
  273. </div><div class="memdoc">
  274. <p>Arc hyperbolic tangent; returns the inverse of tanh. </p>
  275. <p>Results are undefined if abs(x) &gt;= 1.</p>
  276. <dl class="tparams"><dt>Template Parameters</dt><dd>
  277. <table class="tparams">
  278. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  279. </table>
  280. </dd>
  281. </dl>
  282. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/atanh.xml">GLSL atanh man page</a> </dd>
  283. <dd>
  284. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
  285. </div>
  286. </div>
  287. <a class="anchor" id="gace62d5d164def52455aeff19e1bccd88"></a>
  288. <div class="memitem">
  289. <div class="memproto">
  290. <table class="memname">
  291. <tr>
  292. <td class="memname">genType glm::cos </td>
  293. <td>(</td>
  294. <td class="paramtype">genType const &amp;&#160;</td>
  295. <td class="paramname"><em>angle</em></td><td>)</td>
  296. <td></td>
  297. </tr>
  298. </table>
  299. </div><div class="memdoc">
  300. <p>The standard trigonometric cosine function. </p>
  301. <p>The values returned by this function will range from [-1, 1].</p>
  302. <dl class="tparams"><dt>Template Parameters</dt><dd>
  303. <table class="tparams">
  304. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  305. </table>
  306. </dd>
  307. </dl>
  308. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/cos.xml">GLSL cos man page</a> </dd>
  309. <dd>
  310. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
  311. </div>
  312. </div>
  313. <a class="anchor" id="gaf1b20113fe439fa48524e8c35ea2c1d0"></a>
  314. <div class="memitem">
  315. <div class="memproto">
  316. <table class="memname">
  317. <tr>
  318. <td class="memname">genType glm::cosh </td>
  319. <td>(</td>
  320. <td class="paramtype">genType const &amp;&#160;</td>
  321. <td class="paramname"><em>angle</em></td><td>)</td>
  322. <td></td>
  323. </tr>
  324. </table>
  325. </div><div class="memdoc">
  326. <p>Returns the hyperbolic cosine function, (exp(x) + exp(-x)) / 2. </p>
  327. <dl class="tparams"><dt>Template Parameters</dt><dd>
  328. <table class="tparams">
  329. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  330. </table>
  331. </dd>
  332. </dl>
  333. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/cosh.xml">GLSL cosh man page</a> </dd>
  334. <dd>
  335. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
  336. </div>
  337. </div>
  338. <a class="anchor" id="ga034bdb53d458242c506e4d830c7df3aa"></a>
  339. <div class="memitem">
  340. <div class="memproto">
  341. <table class="memname">
  342. <tr>
  343. <td class="memname">genType glm::degrees </td>
  344. <td>(</td>
  345. <td class="paramtype">genType const &amp;&#160;</td>
  346. <td class="paramname"><em>radians</em></td><td>)</td>
  347. <td></td>
  348. </tr>
  349. </table>
  350. </div><div class="memdoc">
  351. <p>Converts radians to degrees and returns the result. </p>
  352. <dl class="tparams"><dt>Template Parameters</dt><dd>
  353. <table class="tparams">
  354. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  355. </table>
  356. </dd>
  357. </dl>
  358. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/degrees.xml">GLSL degrees man page</a> </dd>
  359. <dd>
  360. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
  361. </div>
  362. </div>
  363. <a class="anchor" id="ga4fb76e28851c9ff6653532566084e091"></a>
  364. <div class="memitem">
  365. <div class="memproto">
  366. <table class="memname">
  367. <tr>
  368. <td class="memname">genType glm::radians </td>
  369. <td>(</td>
  370. <td class="paramtype">genType const &amp;&#160;</td>
  371. <td class="paramname"><em>degrees</em></td><td>)</td>
  372. <td></td>
  373. </tr>
  374. </table>
  375. </div><div class="memdoc">
  376. <p>Converts degrees to radians and returns the result. </p>
  377. <dl class="tparams"><dt>Template Parameters</dt><dd>
  378. <table class="tparams">
  379. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  380. </table>
  381. </dd>
  382. </dl>
  383. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/radians.xml">GLSL radians man page</a> </dd>
  384. <dd>
  385. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
  386. </div>
  387. </div>
  388. <a class="anchor" id="ga4fcd05daafb008f20e121e727c0196c7"></a>
  389. <div class="memitem">
  390. <div class="memproto">
  391. <table class="memname">
  392. <tr>
  393. <td class="memname">genType glm::sin </td>
  394. <td>(</td>
  395. <td class="paramtype">genType const &amp;&#160;</td>
  396. <td class="paramname"><em>angle</em></td><td>)</td>
  397. <td></td>
  398. </tr>
  399. </table>
  400. </div><div class="memdoc">
  401. <p>The standard trigonometric sine function. </p>
  402. <p>The values returned by this function will range from [-1, 1].</p>
  403. <dl class="tparams"><dt>Template Parameters</dt><dd>
  404. <table class="tparams">
  405. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  406. </table>
  407. </dd>
  408. </dl>
  409. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/sin.xml">GLSL sin man page</a> </dd>
  410. <dd>
  411. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
  412. </div>
  413. </div>
  414. <a class="anchor" id="ga6f38bb1a343b5d73ac71ddd53baa3375"></a>
  415. <div class="memitem">
  416. <div class="memproto">
  417. <table class="memname">
  418. <tr>
  419. <td class="memname">genType glm::sinh </td>
  420. <td>(</td>
  421. <td class="paramtype">genType const &amp;&#160;</td>
  422. <td class="paramname"><em>angle</em></td><td>)</td>
  423. <td></td>
  424. </tr>
  425. </table>
  426. </div><div class="memdoc">
  427. <p>Returns the hyperbolic sine function, (exp(x) - exp(-x)) / 2. </p>
  428. <dl class="tparams"><dt>Template Parameters</dt><dd>
  429. <table class="tparams">
  430. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  431. </table>
  432. </dd>
  433. </dl>
  434. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/sinh.xml">GLSL sinh man page</a> </dd>
  435. <dd>
  436. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
  437. </div>
  438. </div>
  439. <a class="anchor" id="ga43860bed05c85587e2d931b26d765640"></a>
  440. <div class="memitem">
  441. <div class="memproto">
  442. <table class="memname">
  443. <tr>
  444. <td class="memname">genType glm::tan </td>
  445. <td>(</td>
  446. <td class="paramtype">genType const &amp;&#160;</td>
  447. <td class="paramname"><em>angle</em></td><td>)</td>
  448. <td></td>
  449. </tr>
  450. </table>
  451. </div><div class="memdoc">
  452. <p>The standard trigonometric tangent function. </p>
  453. <dl class="tparams"><dt>Template Parameters</dt><dd>
  454. <table class="tparams">
  455. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  456. </table>
  457. </dd>
  458. </dl>
  459. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/tan.xml">GLSL tan man page</a> </dd>
  460. <dd>
  461. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
  462. </div>
  463. </div>
  464. <a class="anchor" id="ga5315f571fd52f30d368abc056c4aea13"></a>
  465. <div class="memitem">
  466. <div class="memproto">
  467. <table class="memname">
  468. <tr>
  469. <td class="memname">genType glm::tanh </td>
  470. <td>(</td>
  471. <td class="paramtype">genType const &amp;&#160;</td>
  472. <td class="paramname"><em>angle</em></td><td>)</td>
  473. <td></td>
  474. </tr>
  475. </table>
  476. </div><div class="memdoc">
  477. <p>Returns the hyperbolic tangent function, sinh(angle) / cosh(angle) </p>
  478. <dl class="tparams"><dt>Template Parameters</dt><dd>
  479. <table class="tparams">
  480. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  481. </table>
  482. </dd>
  483. </dl>
  484. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/tanh.xml">GLSL tanh man page</a> </dd>
  485. <dd>
  486. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
  487. </div>
  488. </div>
  489. </div><!-- contents -->
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  492. Generated by &#160;<a href="http://www.doxygen.org/index.html">
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