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  63. <div class="summary">
  64. <a href="#func-members">Functions</a> </div>
  65. <div class="headertitle">
  66. <div class="title">Angle and Trigonometry Functions<div class="ingroups"><a class="el" href="a00898.html">Core features</a></div></div> </div>
  67. </div><!--header-->
  68. <div class="contents">
  69. <table class="memberdecls">
  70. <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
  71. Functions</h2></td></tr>
  72. <tr class="memitem:gacc9b092df8257c68f19c9053703e2563"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier Q&gt; </td></tr>
  73. <tr class="memitem:gacc9b092df8257c68f19c9053703e2563"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00995.html#gacc9b092df8257c68f19c9053703e2563">acos</a> (vec&lt; L, T, Q &gt; const &amp;x)</td></tr>
  74. <tr class="memdesc:gacc9b092df8257c68f19c9053703e2563"><td class="mdescLeft">&#160;</td><td class="mdescRight">Arc cosine. <a href="a00995.html#gacc9b092df8257c68f19c9053703e2563">More...</a><br /></td></tr>
  75. <tr class="separator:gacc9b092df8257c68f19c9053703e2563"><td class="memSeparator" colspan="2">&#160;</td></tr>
  76. <tr class="memitem:ga858f35dc66fd2688f20c52b5f25be76a"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier Q&gt; </td></tr>
  77. <tr class="memitem:ga858f35dc66fd2688f20c52b5f25be76a"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00995.html#ga858f35dc66fd2688f20c52b5f25be76a">acosh</a> (vec&lt; L, T, Q &gt; const &amp;x)</td></tr>
  78. <tr class="memdesc:ga858f35dc66fd2688f20c52b5f25be76a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Arc hyperbolic cosine; returns the non-negative inverse of cosh. <a href="a00995.html#ga858f35dc66fd2688f20c52b5f25be76a">More...</a><br /></td></tr>
  79. <tr class="separator:ga858f35dc66fd2688f20c52b5f25be76a"><td class="memSeparator" colspan="2">&#160;</td></tr>
  80. <tr class="memitem:ga0552d2df4865fa8c3d7cfc3ec2caac73"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier Q&gt; </td></tr>
  81. <tr class="memitem:ga0552d2df4865fa8c3d7cfc3ec2caac73"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00995.html#ga0552d2df4865fa8c3d7cfc3ec2caac73">asin</a> (vec&lt; L, T, Q &gt; const &amp;x)</td></tr>
  82. <tr class="memdesc:ga0552d2df4865fa8c3d7cfc3ec2caac73"><td class="mdescLeft">&#160;</td><td class="mdescRight">Arc sine. <a href="a00995.html#ga0552d2df4865fa8c3d7cfc3ec2caac73">More...</a><br /></td></tr>
  83. <tr class="separator:ga0552d2df4865fa8c3d7cfc3ec2caac73"><td class="memSeparator" colspan="2">&#160;</td></tr>
  84. <tr class="memitem:ga3ef16b501ee859fddde88e22192a5950"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier Q&gt; </td></tr>
  85. <tr class="memitem:ga3ef16b501ee859fddde88e22192a5950"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00995.html#ga3ef16b501ee859fddde88e22192a5950">asinh</a> (vec&lt; L, T, Q &gt; const &amp;x)</td></tr>
  86. <tr class="memdesc:ga3ef16b501ee859fddde88e22192a5950"><td class="mdescLeft">&#160;</td><td class="mdescRight">Arc hyperbolic sine; returns the inverse of sinh. <a href="a00995.html#ga3ef16b501ee859fddde88e22192a5950">More...</a><br /></td></tr>
  87. <tr class="separator:ga3ef16b501ee859fddde88e22192a5950"><td class="memSeparator" colspan="2">&#160;</td></tr>
  88. <tr class="memitem:gac61629f3a4aa14057e7a8cae002291db"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier Q&gt; </td></tr>
  89. <tr class="memitem:gac61629f3a4aa14057e7a8cae002291db"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00995.html#gac61629f3a4aa14057e7a8cae002291db">atan</a> (vec&lt; L, T, Q &gt; const &amp;y, vec&lt; L, T, Q &gt; const &amp;x)</td></tr>
  90. <tr class="memdesc:gac61629f3a4aa14057e7a8cae002291db"><td class="mdescLeft">&#160;</td><td class="mdescRight">Arc tangent. <a href="a00995.html#gac61629f3a4aa14057e7a8cae002291db">More...</a><br /></td></tr>
  91. <tr class="separator:gac61629f3a4aa14057e7a8cae002291db"><td class="memSeparator" colspan="2">&#160;</td></tr>
  92. <tr class="memitem:ga5229f087eaccbc466f1c609ce3107b95"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier Q&gt; </td></tr>
  93. <tr class="memitem:ga5229f087eaccbc466f1c609ce3107b95"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00995.html#ga5229f087eaccbc466f1c609ce3107b95">atan</a> (vec&lt; L, T, Q &gt; const &amp;y_over_x)</td></tr>
  94. <tr class="memdesc:ga5229f087eaccbc466f1c609ce3107b95"><td class="mdescLeft">&#160;</td><td class="mdescRight">Arc tangent. <a href="a00995.html#ga5229f087eaccbc466f1c609ce3107b95">More...</a><br /></td></tr>
  95. <tr class="separator:ga5229f087eaccbc466f1c609ce3107b95"><td class="memSeparator" colspan="2">&#160;</td></tr>
  96. <tr class="memitem:gabc925650e618357d07da255531658b87"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier Q&gt; </td></tr>
  97. <tr class="memitem:gabc925650e618357d07da255531658b87"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00995.html#gabc925650e618357d07da255531658b87">atanh</a> (vec&lt; L, T, Q &gt; const &amp;x)</td></tr>
  98. <tr class="memdesc:gabc925650e618357d07da255531658b87"><td class="mdescLeft">&#160;</td><td class="mdescRight">Arc hyperbolic tangent; returns the inverse of tanh. <a href="a00995.html#gabc925650e618357d07da255531658b87">More...</a><br /></td></tr>
  99. <tr class="separator:gabc925650e618357d07da255531658b87"><td class="memSeparator" colspan="2">&#160;</td></tr>
  100. <tr class="memitem:ga6a41efc740e3b3c937447d3a6284130e"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier Q&gt; </td></tr>
  101. <tr class="memitem:ga6a41efc740e3b3c937447d3a6284130e"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00995.html#ga6a41efc740e3b3c937447d3a6284130e">cos</a> (vec&lt; L, T, Q &gt; const &amp;angle)</td></tr>
  102. <tr class="memdesc:ga6a41efc740e3b3c937447d3a6284130e"><td class="mdescLeft">&#160;</td><td class="mdescRight">The standard trigonometric cosine function. <a href="a00995.html#ga6a41efc740e3b3c937447d3a6284130e">More...</a><br /></td></tr>
  103. <tr class="separator:ga6a41efc740e3b3c937447d3a6284130e"><td class="memSeparator" colspan="2">&#160;</td></tr>
  104. <tr class="memitem:ga4e260e372742c5f517aca196cf1e62b3"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier Q&gt; </td></tr>
  105. <tr class="memitem:ga4e260e372742c5f517aca196cf1e62b3"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00995.html#ga4e260e372742c5f517aca196cf1e62b3">cosh</a> (vec&lt; L, T, Q &gt; const &amp;angle)</td></tr>
  106. <tr class="memdesc:ga4e260e372742c5f517aca196cf1e62b3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the hyperbolic cosine function, (exp(x) + exp(-x)) / 2. <a href="a00995.html#ga4e260e372742c5f517aca196cf1e62b3">More...</a><br /></td></tr>
  107. <tr class="separator:ga4e260e372742c5f517aca196cf1e62b3"><td class="memSeparator" colspan="2">&#160;</td></tr>
  108. <tr class="memitem:ga8faec9e303538065911ba8b3caf7326b"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier Q&gt; </td></tr>
  109. <tr class="memitem:ga8faec9e303538065911ba8b3caf7326b"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL GLM_CONSTEXPR vec&lt; L, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00995.html#ga8faec9e303538065911ba8b3caf7326b">degrees</a> (vec&lt; L, T, Q &gt; const &amp;radians)</td></tr>
  110. <tr class="memdesc:ga8faec9e303538065911ba8b3caf7326b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts radians to degrees and returns the result. <a href="a00995.html#ga8faec9e303538065911ba8b3caf7326b">More...</a><br /></td></tr>
  111. <tr class="separator:ga8faec9e303538065911ba8b3caf7326b"><td class="memSeparator" colspan="2">&#160;</td></tr>
  112. <tr class="memitem:ga6e1db4862c5e25afd553930e2fdd6a68"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier Q&gt; </td></tr>
  113. <tr class="memitem:ga6e1db4862c5e25afd553930e2fdd6a68"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL GLM_CONSTEXPR vec&lt; L, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00995.html#ga6e1db4862c5e25afd553930e2fdd6a68">radians</a> (vec&lt; L, T, Q &gt; const &amp;degrees)</td></tr>
  114. <tr class="memdesc:ga6e1db4862c5e25afd553930e2fdd6a68"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts degrees to radians and returns the result. <a href="a00995.html#ga6e1db4862c5e25afd553930e2fdd6a68">More...</a><br /></td></tr>
  115. <tr class="separator:ga6e1db4862c5e25afd553930e2fdd6a68"><td class="memSeparator" colspan="2">&#160;</td></tr>
  116. <tr class="memitem:ga29747fd108cb7292ae5a284f69691a69"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier Q&gt; </td></tr>
  117. <tr class="memitem:ga29747fd108cb7292ae5a284f69691a69"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00995.html#ga29747fd108cb7292ae5a284f69691a69">sin</a> (vec&lt; L, T, Q &gt; const &amp;angle)</td></tr>
  118. <tr class="memdesc:ga29747fd108cb7292ae5a284f69691a69"><td class="mdescLeft">&#160;</td><td class="mdescRight">The standard trigonometric sine function. <a href="a00995.html#ga29747fd108cb7292ae5a284f69691a69">More...</a><br /></td></tr>
  119. <tr class="separator:ga29747fd108cb7292ae5a284f69691a69"><td class="memSeparator" colspan="2">&#160;</td></tr>
  120. <tr class="memitem:gac7c39ff21809e281552b4dbe46f4a39d"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier Q&gt; </td></tr>
  121. <tr class="memitem:gac7c39ff21809e281552b4dbe46f4a39d"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00995.html#gac7c39ff21809e281552b4dbe46f4a39d">sinh</a> (vec&lt; L, T, Q &gt; const &amp;angle)</td></tr>
  122. <tr class="memdesc:gac7c39ff21809e281552b4dbe46f4a39d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the hyperbolic sine function, (exp(x) - exp(-x)) / 2. <a href="a00995.html#gac7c39ff21809e281552b4dbe46f4a39d">More...</a><br /></td></tr>
  123. <tr class="separator:gac7c39ff21809e281552b4dbe46f4a39d"><td class="memSeparator" colspan="2">&#160;</td></tr>
  124. <tr class="memitem:ga293a34cfb9f0115cc606b4a97c84f11f"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier Q&gt; </td></tr>
  125. <tr class="memitem:ga293a34cfb9f0115cc606b4a97c84f11f"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00995.html#ga293a34cfb9f0115cc606b4a97c84f11f">tan</a> (vec&lt; L, T, Q &gt; const &amp;angle)</td></tr>
  126. <tr class="memdesc:ga293a34cfb9f0115cc606b4a97c84f11f"><td class="mdescLeft">&#160;</td><td class="mdescRight">The standard trigonometric tangent function. <a href="a00995.html#ga293a34cfb9f0115cc606b4a97c84f11f">More...</a><br /></td></tr>
  127. <tr class="separator:ga293a34cfb9f0115cc606b4a97c84f11f"><td class="memSeparator" colspan="2">&#160;</td></tr>
  128. <tr class="memitem:gaa1bccbfdcbe40ed2ffcddc2aa8bfd0f1"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier Q&gt; </td></tr>
  129. <tr class="memitem:gaa1bccbfdcbe40ed2ffcddc2aa8bfd0f1"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, Q &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00995.html#gaa1bccbfdcbe40ed2ffcddc2aa8bfd0f1">tanh</a> (vec&lt; L, T, Q &gt; const &amp;angle)</td></tr>
  130. <tr class="memdesc:gaa1bccbfdcbe40ed2ffcddc2aa8bfd0f1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the hyperbolic tangent function, sinh(angle) / cosh(angle) <a href="a00995.html#gaa1bccbfdcbe40ed2ffcddc2aa8bfd0f1">More...</a><br /></td></tr>
  131. <tr class="separator:gaa1bccbfdcbe40ed2ffcddc2aa8bfd0f1"><td class="memSeparator" colspan="2">&#160;</td></tr>
  132. </table>
  133. <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
  134. <p>Function parameters specified as angle are assumed to be in units of radians. 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>
  135. <p>These all operate component-wise. The description is per component.</p>
  136. <p>Include &lt;<a class="el" href="a00797.html" title="Core features">glm/trigonometric.hpp</a>&gt; to use these core features.</p>
  137. <dl class="section see"><dt>See also</dt><dd>ext_vector_trigonometric </dd></dl>
  138. <h2 class="groupheader">Function Documentation</h2>
  139. <a id="gacc9b092df8257c68f19c9053703e2563"></a>
  140. <h2 class="memtitle"><span class="permalink"><a href="#gacc9b092df8257c68f19c9053703e2563">&#9670;&nbsp;</a></span>acos()</h2>
  141. <div class="memitem">
  142. <div class="memproto">
  143. <table class="memname">
  144. <tr>
  145. <td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::acos </td>
  146. <td>(</td>
  147. <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
  148. <td class="paramname"><em>x</em></td><td>)</td>
  149. <td></td>
  150. </tr>
  151. </table>
  152. </div><div class="memdoc">
  153. <p>Arc cosine. </p>
  154. <p>Returns an angle whose cosine is x. The range of values returned by this function is [0, PI]. Results are undefined if |x| &gt; 1.</p>
  155. <dl class="tparams"><dt>Template Parameters</dt><dd>
  156. <table class="tparams">
  157. <tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
  158. <tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
  159. <tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
  160. </table>
  161. </dd>
  162. </dl>
  163. <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>
  164. <dd>
  165. <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>
  166. </div>
  167. </div>
  168. <a id="ga858f35dc66fd2688f20c52b5f25be76a"></a>
  169. <h2 class="memtitle"><span class="permalink"><a href="#ga858f35dc66fd2688f20c52b5f25be76a">&#9670;&nbsp;</a></span>acosh()</h2>
  170. <div class="memitem">
  171. <div class="memproto">
  172. <table class="memname">
  173. <tr>
  174. <td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::acosh </td>
  175. <td>(</td>
  176. <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
  177. <td class="paramname"><em>x</em></td><td>)</td>
  178. <td></td>
  179. </tr>
  180. </table>
  181. </div><div class="memdoc">
  182. <p>Arc hyperbolic cosine; returns the non-negative inverse of cosh. </p>
  183. <p>Results are undefined if x &lt; 1.</p>
  184. <dl class="tparams"><dt>Template Parameters</dt><dd>
  185. <table class="tparams">
  186. <tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
  187. <tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
  188. <tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
  189. </table>
  190. </dd>
  191. </dl>
  192. <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>
  193. <dd>
  194. <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>
  195. </div>
  196. </div>
  197. <a id="ga0552d2df4865fa8c3d7cfc3ec2caac73"></a>
  198. <h2 class="memtitle"><span class="permalink"><a href="#ga0552d2df4865fa8c3d7cfc3ec2caac73">&#9670;&nbsp;</a></span>asin()</h2>
  199. <div class="memitem">
  200. <div class="memproto">
  201. <table class="memname">
  202. <tr>
  203. <td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::asin </td>
  204. <td>(</td>
  205. <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
  206. <td class="paramname"><em>x</em></td><td>)</td>
  207. <td></td>
  208. </tr>
  209. </table>
  210. </div><div class="memdoc">
  211. <p>Arc sine. </p>
  212. <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>
  213. <dl class="tparams"><dt>Template Parameters</dt><dd>
  214. <table class="tparams">
  215. <tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
  216. <tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
  217. <tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
  218. </table>
  219. </dd>
  220. </dl>
  221. <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>
  222. <dd>
  223. <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>
  224. </div>
  225. </div>
  226. <a id="ga3ef16b501ee859fddde88e22192a5950"></a>
  227. <h2 class="memtitle"><span class="permalink"><a href="#ga3ef16b501ee859fddde88e22192a5950">&#9670;&nbsp;</a></span>asinh()</h2>
  228. <div class="memitem">
  229. <div class="memproto">
  230. <table class="memname">
  231. <tr>
  232. <td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::asinh </td>
  233. <td>(</td>
  234. <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
  235. <td class="paramname"><em>x</em></td><td>)</td>
  236. <td></td>
  237. </tr>
  238. </table>
  239. </div><div class="memdoc">
  240. <p>Arc hyperbolic sine; returns the inverse of sinh. </p>
  241. <dl class="tparams"><dt>Template Parameters</dt><dd>
  242. <table class="tparams">
  243. <tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
  244. <tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
  245. <tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
  246. </table>
  247. </dd>
  248. </dl>
  249. <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>
  250. <dd>
  251. <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>
  252. </div>
  253. </div>
  254. <a id="gac61629f3a4aa14057e7a8cae002291db"></a>
  255. <h2 class="memtitle"><span class="permalink"><a href="#gac61629f3a4aa14057e7a8cae002291db">&#9670;&nbsp;</a></span>atan() <span class="overload">[1/2]</span></h2>
  256. <div class="memitem">
  257. <div class="memproto">
  258. <table class="memname">
  259. <tr>
  260. <td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::atan </td>
  261. <td>(</td>
  262. <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
  263. <td class="paramname"><em>y</em>, </td>
  264. </tr>
  265. <tr>
  266. <td class="paramkey"></td>
  267. <td></td>
  268. <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
  269. <td class="paramname"><em>x</em>&#160;</td>
  270. </tr>
  271. <tr>
  272. <td></td>
  273. <td>)</td>
  274. <td></td><td></td>
  275. </tr>
  276. </table>
  277. </div><div class="memdoc">
  278. <p>Arc tangent. </p>
  279. <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>
  280. <dl class="tparams"><dt>Template Parameters</dt><dd>
  281. <table class="tparams">
  282. <tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
  283. <tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
  284. <tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
  285. </table>
  286. </dd>
  287. </dl>
  288. <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>
  289. <dd>
  290. <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>
  291. <p class="reference">Referenced by <a class="el" href="a00602_source.html#l00053">glm::atan2()</a>.</p>
  292. </div>
  293. </div>
  294. <a id="ga5229f087eaccbc466f1c609ce3107b95"></a>
  295. <h2 class="memtitle"><span class="permalink"><a href="#ga5229f087eaccbc466f1c609ce3107b95">&#9670;&nbsp;</a></span>atan() <span class="overload">[2/2]</span></h2>
  296. <div class="memitem">
  297. <div class="memproto">
  298. <table class="memname">
  299. <tr>
  300. <td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::atan </td>
  301. <td>(</td>
  302. <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
  303. <td class="paramname"><em>y_over_x</em></td><td>)</td>
  304. <td></td>
  305. </tr>
  306. </table>
  307. </div><div class="memdoc">
  308. <p>Arc tangent. </p>
  309. <p>Returns an angle whose tangent is y_over_x. The range of values returned by this function is [-PI/2, PI/2].</p>
  310. <dl class="tparams"><dt>Template Parameters</dt><dd>
  311. <table class="tparams">
  312. <tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
  313. <tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
  314. <tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
  315. </table>
  316. </dd>
  317. </dl>
  318. <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>
  319. <dd>
  320. <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>
  321. </div>
  322. </div>
  323. <a id="gabc925650e618357d07da255531658b87"></a>
  324. <h2 class="memtitle"><span class="permalink"><a href="#gabc925650e618357d07da255531658b87">&#9670;&nbsp;</a></span>atanh()</h2>
  325. <div class="memitem">
  326. <div class="memproto">
  327. <table class="memname">
  328. <tr>
  329. <td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::atanh </td>
  330. <td>(</td>
  331. <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
  332. <td class="paramname"><em>x</em></td><td>)</td>
  333. <td></td>
  334. </tr>
  335. </table>
  336. </div><div class="memdoc">
  337. <p>Arc hyperbolic tangent; returns the inverse of tanh. </p>
  338. <p>Results are undefined if abs(x) &gt;= 1.</p>
  339. <dl class="tparams"><dt>Template Parameters</dt><dd>
  340. <table class="tparams">
  341. <tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
  342. <tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
  343. <tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
  344. </table>
  345. </dd>
  346. </dl>
  347. <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>
  348. <dd>
  349. <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>
  350. </div>
  351. </div>
  352. <a id="ga6a41efc740e3b3c937447d3a6284130e"></a>
  353. <h2 class="memtitle"><span class="permalink"><a href="#ga6a41efc740e3b3c937447d3a6284130e">&#9670;&nbsp;</a></span>cos()</h2>
  354. <div class="memitem">
  355. <div class="memproto">
  356. <table class="memname">
  357. <tr>
  358. <td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::cos </td>
  359. <td>(</td>
  360. <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
  361. <td class="paramname"><em>angle</em></td><td>)</td>
  362. <td></td>
  363. </tr>
  364. </table>
  365. </div><div class="memdoc">
  366. <p>The standard trigonometric cosine function. </p>
  367. <p>The values returned by this function will range from [-1, 1].</p>
  368. <dl class="tparams"><dt>Template Parameters</dt><dd>
  369. <table class="tparams">
  370. <tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
  371. <tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
  372. <tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
  373. </table>
  374. </dd>
  375. </dl>
  376. <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>
  377. <dd>
  378. <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>
  379. </div>
  380. </div>
  381. <a id="ga4e260e372742c5f517aca196cf1e62b3"></a>
  382. <h2 class="memtitle"><span class="permalink"><a href="#ga4e260e372742c5f517aca196cf1e62b3">&#9670;&nbsp;</a></span>cosh()</h2>
  383. <div class="memitem">
  384. <div class="memproto">
  385. <table class="memname">
  386. <tr>
  387. <td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::cosh </td>
  388. <td>(</td>
  389. <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
  390. <td class="paramname"><em>angle</em></td><td>)</td>
  391. <td></td>
  392. </tr>
  393. </table>
  394. </div><div class="memdoc">
  395. <p>Returns the hyperbolic cosine function, (exp(x) + exp(-x)) / 2. </p>
  396. <dl class="tparams"><dt>Template Parameters</dt><dd>
  397. <table class="tparams">
  398. <tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
  399. <tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
  400. <tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
  401. </table>
  402. </dd>
  403. </dl>
  404. <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>
  405. <dd>
  406. <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>
  407. </div>
  408. </div>
  409. <a id="ga8faec9e303538065911ba8b3caf7326b"></a>
  410. <h2 class="memtitle"><span class="permalink"><a href="#ga8faec9e303538065911ba8b3caf7326b">&#9670;&nbsp;</a></span>degrees()</h2>
  411. <div class="memitem">
  412. <div class="memproto">
  413. <table class="memname">
  414. <tr>
  415. <td class="memname">GLM_FUNC_DECL GLM_CONSTEXPR vec&lt;L, T, Q&gt; glm::degrees </td>
  416. <td>(</td>
  417. <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
  418. <td class="paramname"><em>radians</em></td><td>)</td>
  419. <td></td>
  420. </tr>
  421. </table>
  422. </div><div class="memdoc">
  423. <p>Converts radians to degrees and returns the result. </p>
  424. <dl class="tparams"><dt>Template Parameters</dt><dd>
  425. <table class="tparams">
  426. <tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
  427. <tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
  428. <tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
  429. </table>
  430. </dd>
  431. </dl>
  432. <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>
  433. <dd>
  434. <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>
  435. </div>
  436. </div>
  437. <a id="ga6e1db4862c5e25afd553930e2fdd6a68"></a>
  438. <h2 class="memtitle"><span class="permalink"><a href="#ga6e1db4862c5e25afd553930e2fdd6a68">&#9670;&nbsp;</a></span>radians()</h2>
  439. <div class="memitem">
  440. <div class="memproto">
  441. <table class="memname">
  442. <tr>
  443. <td class="memname">GLM_FUNC_DECL GLM_CONSTEXPR vec&lt;L, T, Q&gt; glm::radians </td>
  444. <td>(</td>
  445. <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
  446. <td class="paramname"><em>degrees</em></td><td>)</td>
  447. <td></td>
  448. </tr>
  449. </table>
  450. </div><div class="memdoc">
  451. <p>Converts degrees to radians and returns the result. </p>
  452. <dl class="tparams"><dt>Template Parameters</dt><dd>
  453. <table class="tparams">
  454. <tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
  455. <tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
  456. <tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
  457. </table>
  458. </dd>
  459. </dl>
  460. <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>
  461. <dd>
  462. <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>
  463. </div>
  464. </div>
  465. <a id="ga29747fd108cb7292ae5a284f69691a69"></a>
  466. <h2 class="memtitle"><span class="permalink"><a href="#ga29747fd108cb7292ae5a284f69691a69">&#9670;&nbsp;</a></span>sin()</h2>
  467. <div class="memitem">
  468. <div class="memproto">
  469. <table class="memname">
  470. <tr>
  471. <td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::sin </td>
  472. <td>(</td>
  473. <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
  474. <td class="paramname"><em>angle</em></td><td>)</td>
  475. <td></td>
  476. </tr>
  477. </table>
  478. </div><div class="memdoc">
  479. <p>The standard trigonometric sine function. </p>
  480. <p>The values returned by this function will range from [-1, 1].</p>
  481. <dl class="tparams"><dt>Template Parameters</dt><dd>
  482. <table class="tparams">
  483. <tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
  484. <tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
  485. <tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
  486. </table>
  487. </dd>
  488. </dl>
  489. <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>
  490. <dd>
  491. <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>
  492. </div>
  493. </div>
  494. <a id="gac7c39ff21809e281552b4dbe46f4a39d"></a>
  495. <h2 class="memtitle"><span class="permalink"><a href="#gac7c39ff21809e281552b4dbe46f4a39d">&#9670;&nbsp;</a></span>sinh()</h2>
  496. <div class="memitem">
  497. <div class="memproto">
  498. <table class="memname">
  499. <tr>
  500. <td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::sinh </td>
  501. <td>(</td>
  502. <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
  503. <td class="paramname"><em>angle</em></td><td>)</td>
  504. <td></td>
  505. </tr>
  506. </table>
  507. </div><div class="memdoc">
  508. <p>Returns the hyperbolic sine function, (exp(x) - exp(-x)) / 2. </p>
  509. <dl class="tparams"><dt>Template Parameters</dt><dd>
  510. <table class="tparams">
  511. <tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
  512. <tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
  513. <tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
  514. </table>
  515. </dd>
  516. </dl>
  517. <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>
  518. <dd>
  519. <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>
  520. </div>
  521. </div>
  522. <a id="ga293a34cfb9f0115cc606b4a97c84f11f"></a>
  523. <h2 class="memtitle"><span class="permalink"><a href="#ga293a34cfb9f0115cc606b4a97c84f11f">&#9670;&nbsp;</a></span>tan()</h2>
  524. <div class="memitem">
  525. <div class="memproto">
  526. <table class="memname">
  527. <tr>
  528. <td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::tan </td>
  529. <td>(</td>
  530. <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
  531. <td class="paramname"><em>angle</em></td><td>)</td>
  532. <td></td>
  533. </tr>
  534. </table>
  535. </div><div class="memdoc">
  536. <p>The standard trigonometric tangent function. </p>
  537. <dl class="tparams"><dt>Template Parameters</dt><dd>
  538. <table class="tparams">
  539. <tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
  540. <tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
  541. <tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
  542. </table>
  543. </dd>
  544. </dl>
  545. <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>
  546. <dd>
  547. <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>
  548. </div>
  549. </div>
  550. <a id="gaa1bccbfdcbe40ed2ffcddc2aa8bfd0f1"></a>
  551. <h2 class="memtitle"><span class="permalink"><a href="#gaa1bccbfdcbe40ed2ffcddc2aa8bfd0f1">&#9670;&nbsp;</a></span>tanh()</h2>
  552. <div class="memitem">
  553. <div class="memproto">
  554. <table class="memname">
  555. <tr>
  556. <td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::tanh </td>
  557. <td>(</td>
  558. <td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
  559. <td class="paramname"><em>angle</em></td><td>)</td>
  560. <td></td>
  561. </tr>
  562. </table>
  563. </div><div class="memdoc">
  564. <p>Returns the hyperbolic tangent function, sinh(angle) / cosh(angle) </p>
  565. <dl class="tparams"><dt>Template Parameters</dt><dd>
  566. <table class="tparams">
  567. <tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
  568. <tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
  569. <tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
  570. </table>
  571. </dd>
  572. </dl>
  573. <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>
  574. <dd>
  575. <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>
  576. </div>
  577. </div>
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