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  6. <title>Exponential functions</title>
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  34. <div class="header">
  35. <div class="summary">
  36. <a href="#func-members">Functions</a> </div>
  37. <div class="headertitle">
  38. <div class="title">Exponential functions</div> </div>
  39. <div class="ingroups"><a class="el" href="a00141.html">GLM Core</a></div></div><!--header-->
  40. <div class="contents">
  41. <table class="memberdecls">
  42. <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
  43. Functions</h2></td></tr>
  44. <tr class="memitem:ga03903bb9395a13d554a5fbecdf67792b"><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
  45. <tr class="memitem:ga03903bb9395a13d554a5fbecdf67792b"><td class="memTemplItemLeft" align="right" valign="top">genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00130.html#ga03903bb9395a13d554a5fbecdf67792b">exp</a> (genType const &amp;x)</td></tr>
  46. <tr class="separator:ga03903bb9395a13d554a5fbecdf67792b"><td class="memSeparator" colspan="2">&#160;</td></tr>
  47. <tr class="memitem:ga18385688b951da01cdc3a22c232e4e28"><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
  48. <tr class="memitem:ga18385688b951da01cdc3a22c232e4e28"><td class="memTemplItemLeft" align="right" valign="top">genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00130.html#ga18385688b951da01cdc3a22c232e4e28">exp2</a> (genType const &amp;x)</td></tr>
  49. <tr class="separator:ga18385688b951da01cdc3a22c232e4e28"><td class="memSeparator" colspan="2">&#160;</td></tr>
  50. <tr class="memitem:ga3fd19e045e3943b96e0cdad22fbda111"><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
  51. <tr class="memitem:ga3fd19e045e3943b96e0cdad22fbda111"><td class="memTemplItemLeft" align="right" valign="top">genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00130.html#ga3fd19e045e3943b96e0cdad22fbda111">inversesqrt</a> (genType const &amp;x)</td></tr>
  52. <tr class="separator:ga3fd19e045e3943b96e0cdad22fbda111"><td class="memSeparator" colspan="2">&#160;</td></tr>
  53. <tr class="memitem:ga46a307f466090551e328eec42abf61bc"><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
  54. <tr class="memitem:ga46a307f466090551e328eec42abf61bc"><td class="memTemplItemLeft" align="right" valign="top">genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00130.html#ga46a307f466090551e328eec42abf61bc">log</a> (genType const &amp;x)</td></tr>
  55. <tr class="separator:ga46a307f466090551e328eec42abf61bc"><td class="memSeparator" colspan="2">&#160;</td></tr>
  56. <tr class="memitem:gae19ff18661b33a0fe1b8edee61382f40"><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
  57. <tr class="memitem:gae19ff18661b33a0fe1b8edee61382f40"><td class="memTemplItemLeft" align="right" valign="top">genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00130.html#gae19ff18661b33a0fe1b8edee61382f40">log2</a> (genType const &amp;x)</td></tr>
  58. <tr class="separator:gae19ff18661b33a0fe1b8edee61382f40"><td class="memSeparator" colspan="2">&#160;</td></tr>
  59. <tr class="memitem:gac93ea301c287d87a63fa14a4c44b719b"><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
  60. <tr class="memitem:gac93ea301c287d87a63fa14a4c44b719b"><td class="memTemplItemLeft" align="right" valign="top">genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00130.html#gac93ea301c287d87a63fa14a4c44b719b">pow</a> (genType const &amp;x, genType const &amp;y)</td></tr>
  61. <tr class="separator:gac93ea301c287d87a63fa14a4c44b719b"><td class="memSeparator" colspan="2">&#160;</td></tr>
  62. <tr class="memitem:ga9b2fd4f39c29e3d55c4b4087ab873f9f"><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
  63. <tr class="memitem:ga9b2fd4f39c29e3d55c4b4087ab873f9f"><td class="memTemplItemLeft" align="right" valign="top">genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00130.html#ga9b2fd4f39c29e3d55c4b4087ab873f9f">sqrt</a> (genType const &amp;x)</td></tr>
  64. <tr class="separator:ga9b2fd4f39c29e3d55c4b4087ab873f9f"><td class="memSeparator" colspan="2">&#160;</td></tr>
  65. </table>
  66. <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
  67. <p>These all operate component-wise. </p>
  68. <p>The description is per component. </p>
  69. <h2 class="groupheader">Function Documentation</h2>
  70. <a class="anchor" id="ga03903bb9395a13d554a5fbecdf67792b"></a>
  71. <div class="memitem">
  72. <div class="memproto">
  73. <table class="memname">
  74. <tr>
  75. <td class="memname">genType glm::exp </td>
  76. <td>(</td>
  77. <td class="paramtype">genType const &amp;&#160;</td>
  78. <td class="paramname"><em>x</em></td><td>)</td>
  79. <td></td>
  80. </tr>
  81. </table>
  82. </div><div class="memdoc">
  83. <p>Returns the natural exponentiation of x, i.e., e^x. </p>
  84. <dl class="params"><dt>Parameters</dt><dd>
  85. <table class="params">
  86. <tr><td class="paramname">x</td><td>exp function is defined for input values of x defined in the range (inf-, inf+) in the limit of the type precision. </td></tr>
  87. </table>
  88. </dd>
  89. </dl>
  90. <dl class="tparams"><dt>Template Parameters</dt><dd>
  91. <table class="tparams">
  92. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  93. </table>
  94. </dd>
  95. </dl>
  96. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/exp.xml">GLSL exp man page</a> </dd>
  97. <dd>
  98. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a> </dd></dl>
  99. </div>
  100. </div>
  101. <a class="anchor" id="ga18385688b951da01cdc3a22c232e4e28"></a>
  102. <div class="memitem">
  103. <div class="memproto">
  104. <table class="memname">
  105. <tr>
  106. <td class="memname">genType glm::exp2 </td>
  107. <td>(</td>
  108. <td class="paramtype">genType const &amp;&#160;</td>
  109. <td class="paramname"><em>x</em></td><td>)</td>
  110. <td></td>
  111. </tr>
  112. </table>
  113. </div><div class="memdoc">
  114. <p>Returns 2 raised to the x power. </p>
  115. <dl class="params"><dt>Parameters</dt><dd>
  116. <table class="params">
  117. <tr><td class="paramname">x</td><td>exp2 function is defined for input values of x defined in the range (inf-, inf+) in the limit of the type precision. </td></tr>
  118. </table>
  119. </dd>
  120. </dl>
  121. <dl class="tparams"><dt>Template Parameters</dt><dd>
  122. <table class="tparams">
  123. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  124. </table>
  125. </dd>
  126. </dl>
  127. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/exp2.xml">GLSL exp2 man page</a> </dd>
  128. <dd>
  129. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a> </dd></dl>
  130. </div>
  131. </div>
  132. <a class="anchor" id="ga3fd19e045e3943b96e0cdad22fbda111"></a>
  133. <div class="memitem">
  134. <div class="memproto">
  135. <table class="memname">
  136. <tr>
  137. <td class="memname">genType glm::inversesqrt </td>
  138. <td>(</td>
  139. <td class="paramtype">genType const &amp;&#160;</td>
  140. <td class="paramname"><em>x</em></td><td>)</td>
  141. <td></td>
  142. </tr>
  143. </table>
  144. </div><div class="memdoc">
  145. <p>Returns the reciprocal of the positive square root of x. </p>
  146. <dl class="params"><dt>Parameters</dt><dd>
  147. <table class="params">
  148. <tr><td class="paramname">x</td><td>inversesqrt function is defined for input values of x defined in the range [0, inf+) in the limit of the type precision. </td></tr>
  149. </table>
  150. </dd>
  151. </dl>
  152. <dl class="tparams"><dt>Template Parameters</dt><dd>
  153. <table class="tparams">
  154. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  155. </table>
  156. </dd>
  157. </dl>
  158. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/inversesqrt.xml">GLSL inversesqrt man page</a> </dd>
  159. <dd>
  160. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a> </dd></dl>
  161. </div>
  162. </div>
  163. <a class="anchor" id="ga46a307f466090551e328eec42abf61bc"></a>
  164. <div class="memitem">
  165. <div class="memproto">
  166. <table class="memname">
  167. <tr>
  168. <td class="memname">genType glm::log </td>
  169. <td>(</td>
  170. <td class="paramtype">genType const &amp;&#160;</td>
  171. <td class="paramname"><em>x</em></td><td>)</td>
  172. <td></td>
  173. </tr>
  174. </table>
  175. </div><div class="memdoc">
  176. <p>Returns the natural logarithm of x, i.e., returns the value y which satisfies the equation x = e^y. </p>
  177. <p>Results are undefined if x &lt;= 0.</p>
  178. <dl class="params"><dt>Parameters</dt><dd>
  179. <table class="params">
  180. <tr><td class="paramname">x</td><td>log function is defined for input values of x defined in the range (0, inf+) in the limit of the type precision. </td></tr>
  181. </table>
  182. </dd>
  183. </dl>
  184. <dl class="tparams"><dt>Template Parameters</dt><dd>
  185. <table class="tparams">
  186. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  187. </table>
  188. </dd>
  189. </dl>
  190. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/log.xml">GLSL log man page</a> </dd>
  191. <dd>
  192. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a> </dd></dl>
  193. </div>
  194. </div>
  195. <a class="anchor" id="gae19ff18661b33a0fe1b8edee61382f40"></a>
  196. <div class="memitem">
  197. <div class="memproto">
  198. <table class="memname">
  199. <tr>
  200. <td class="memname">genType glm::log2 </td>
  201. <td>(</td>
  202. <td class="paramtype">genType const &amp;&#160;</td>
  203. <td class="paramname"><em>x</em></td><td>)</td>
  204. <td></td>
  205. </tr>
  206. </table>
  207. </div><div class="memdoc">
  208. <p>Returns the base 2 log of x, i.e., returns the value y, which satisfies the equation x = 2 ^ y. </p>
  209. <dl class="params"><dt>Parameters</dt><dd>
  210. <table class="params">
  211. <tr><td class="paramname">x</td><td>log2 function is defined for input values of x defined in the range (0, inf+) in the limit of the type precision. </td></tr>
  212. </table>
  213. </dd>
  214. </dl>
  215. <dl class="tparams"><dt>Template Parameters</dt><dd>
  216. <table class="tparams">
  217. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</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/log2.xml">GLSL log2 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 8.2 Exponential Functions</a> </dd></dl>
  224. </div>
  225. </div>
  226. <a class="anchor" id="gac93ea301c287d87a63fa14a4c44b719b"></a>
  227. <div class="memitem">
  228. <div class="memproto">
  229. <table class="memname">
  230. <tr>
  231. <td class="memname">genType glm::pow </td>
  232. <td>(</td>
  233. <td class="paramtype">genType const &amp;&#160;</td>
  234. <td class="paramname"><em>x</em>, </td>
  235. </tr>
  236. <tr>
  237. <td class="paramkey"></td>
  238. <td></td>
  239. <td class="paramtype">genType const &amp;&#160;</td>
  240. <td class="paramname"><em>y</em>&#160;</td>
  241. </tr>
  242. <tr>
  243. <td></td>
  244. <td>)</td>
  245. <td></td><td></td>
  246. </tr>
  247. </table>
  248. </div><div class="memdoc">
  249. <p>Returns x raised to the y power. </p>
  250. <dl class="params"><dt>Parameters</dt><dd>
  251. <table class="params">
  252. <tr><td class="paramname">x</td><td>pow function is defined for input values of x defined in the range (inf-, inf+) in the limit of the type precision. </td></tr>
  253. <tr><td class="paramname">y</td><td></td></tr>
  254. </table>
  255. </dd>
  256. </dl>
  257. <dl class="tparams"><dt>Template Parameters</dt><dd>
  258. <table class="tparams">
  259. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  260. </table>
  261. </dd>
  262. </dl>
  263. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/pow.xml">GLSL pow man page</a> </dd>
  264. <dd>
  265. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a> </dd></dl>
  266. </div>
  267. </div>
  268. <a class="anchor" id="ga9b2fd4f39c29e3d55c4b4087ab873f9f"></a>
  269. <div class="memitem">
  270. <div class="memproto">
  271. <table class="memname">
  272. <tr>
  273. <td class="memname">genType glm::sqrt </td>
  274. <td>(</td>
  275. <td class="paramtype">genType const &amp;&#160;</td>
  276. <td class="paramname"><em>x</em></td><td>)</td>
  277. <td></td>
  278. </tr>
  279. </table>
  280. </div><div class="memdoc">
  281. <p>Returns the positive square root of x. </p>
  282. <dl class="params"><dt>Parameters</dt><dd>
  283. <table class="params">
  284. <tr><td class="paramname">x</td><td>sqrt function is defined for input values of x defined in the range [0, inf+) in the limit of the type precision. </td></tr>
  285. </table>
  286. </dd>
  287. </dl>
  288. <dl class="tparams"><dt>Template Parameters</dt><dd>
  289. <table class="tparams">
  290. <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  291. </table>
  292. </dd>
  293. </dl>
  294. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/sqrt.xml">GLSL sqrt man page</a> </dd>
  295. <dd>
  296. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a> </dd></dl>
  297. </div>
  298. </div>
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