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  75. 

  76. <div class="header">
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    78. 

  78. <a href="#func-members">Functions</a>  </div>
    79. 

  79.   <div class="headertitle">
    80. 

  80. <div class="title">Geometric functions<div class="ingroups"><a class="el" href="a00158.html">GLM Core</a></div></div>  </div>
    81. 

  81. </div><!--header-->
    82. 

  82. <div class="contents">
    83. 

  83. 

  84. <p>These operate on vectors as vectors, not component-wise.  
    85. 

  85. <a href="#details">More...</a></p>
    86. 

  86. <table class="memberdecls">
    87. 

  87. <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
    88. 

  88. Functions</h2></td></tr>
    89. 

  89. <tr class="memitem:gaf48bb3113e27775dfa907960a6927d33"><td class="memTemplParams" colspan="2">template&lt;typename T , qualifier P&gt; </td></tr>
    90. 

  90. <tr class="memitem:gaf48bb3113e27775dfa907960a6927d33"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; 3, T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00150.html#gaf48bb3113e27775dfa907960a6927d33">cross</a> (vec&lt; 3, T, P &gt; const &amp;x, vec&lt; 3, T, P &gt; const &amp;y)</td></tr>
    91. 

  91. <tr class="memdesc:gaf48bb3113e27775dfa907960a6927d33"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the cross product of x and y.  <a href="a00150.html#gaf48bb3113e27775dfa907960a6927d33">More...</a><br /></td></tr>
    92. 

  92. <tr class="separator:gaf48bb3113e27775dfa907960a6927d33"><td class="memSeparator" colspan="2">&#160;</td></tr>
    93. 

  93. <tr class="memitem:gadb370a015ab4c544ddd2cb0b2ea1cec8"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier P&gt; </td></tr>
    94. 

  94. <tr class="memitem:gadb370a015ab4c544ddd2cb0b2ea1cec8"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00150.html#gadb370a015ab4c544ddd2cb0b2ea1cec8">distance</a> (vec&lt; L, T, P &gt; const &amp;p0, vec&lt; L, T, P &gt; const &amp;p1)</td></tr>
    95. 

  95. <tr class="memdesc:gadb370a015ab4c544ddd2cb0b2ea1cec8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the distance betwwen p0 and p1, i.e., length(p0 - p1).  <a href="a00150.html#gadb370a015ab4c544ddd2cb0b2ea1cec8">More...</a><br /></td></tr>
    96. 

  96. <tr class="separator:gadb370a015ab4c544ddd2cb0b2ea1cec8"><td class="memSeparator" colspan="2">&#160;</td></tr>
    97. 

  97. <tr class="memitem:gaa51a3aaf29f7c5bd2adb3d7fb9bad3c7"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier P&gt; </td></tr>
    98. 

  98. <tr class="memitem:gaa51a3aaf29f7c5bd2adb3d7fb9bad3c7"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00150.html#gaa51a3aaf29f7c5bd2adb3d7fb9bad3c7">dot</a> (vec&lt; L, T, P &gt; const &amp;x, vec&lt; L, T, P &gt; const &amp;y)</td></tr>
    99. 

  99. <tr class="memdesc:gaa51a3aaf29f7c5bd2adb3d7fb9bad3c7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the dot product of x and y, i.e., result = x * y.  <a href="a00150.html#gaa51a3aaf29f7c5bd2adb3d7fb9bad3c7">More...</a><br /></td></tr>
    100. 

  100. <tr class="separator:gaa51a3aaf29f7c5bd2adb3d7fb9bad3c7"><td class="memSeparator" colspan="2">&#160;</td></tr>
    101. 

  101. <tr class="memitem:ga4b1a93be2515b8de5ba413eb636396da"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier P&gt; </td></tr>
    102. 

  102. <tr class="memitem:ga4b1a93be2515b8de5ba413eb636396da"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00150.html#ga4b1a93be2515b8de5ba413eb636396da">faceforward</a> (vec&lt; L, T, P &gt; const &amp;N, vec&lt; L, T, P &gt; const &amp;I, vec&lt; L, T, P &gt; const &amp;Nref)</td></tr>
    103. 

  103. <tr class="memdesc:ga4b1a93be2515b8de5ba413eb636396da"><td class="mdescLeft">&#160;</td><td class="mdescRight">If dot(Nref, I) &lt; 0.0, return N, otherwise, return -N.  <a href="a00150.html#ga4b1a93be2515b8de5ba413eb636396da">More...</a><br /></td></tr>
    104. 

  104. <tr class="separator:ga4b1a93be2515b8de5ba413eb636396da"><td class="memSeparator" colspan="2">&#160;</td></tr>
    105. 

  105. <tr class="memitem:ga9363516a0cffaa7c44adea39d2b0334d"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier P&gt; </td></tr>
    106. 

  106. <tr class="memitem:ga9363516a0cffaa7c44adea39d2b0334d"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00150.html#ga9363516a0cffaa7c44adea39d2b0334d">length</a> (vec&lt; L, T, P &gt; const &amp;x)</td></tr>
    107. 

  107. <tr class="memdesc:ga9363516a0cffaa7c44adea39d2b0334d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the length of x, i.e., sqrt(x * x).  <a href="a00150.html#ga9363516a0cffaa7c44adea39d2b0334d">More...</a><br /></td></tr>
    108. 

  108. <tr class="separator:ga9363516a0cffaa7c44adea39d2b0334d"><td class="memSeparator" colspan="2">&#160;</td></tr>
    109. 

  109. <tr class="memitem:ga8263c6c2b8ff1719c89728d643bba27a"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier P&gt; </td></tr>
    110. 

  110. <tr class="memitem:ga8263c6c2b8ff1719c89728d643bba27a"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00150.html#ga8263c6c2b8ff1719c89728d643bba27a">normalize</a> (vec&lt; L, T, P &gt; const &amp;x)</td></tr>
    111. 

  111. <tr class="memdesc:ga8263c6c2b8ff1719c89728d643bba27a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns a vector in the same direction as x but with length of 1.  <a href="a00150.html#ga8263c6c2b8ff1719c89728d643bba27a">More...</a><br /></td></tr>
    112. 

  112. <tr class="separator:ga8263c6c2b8ff1719c89728d643bba27a"><td class="memSeparator" colspan="2">&#160;</td></tr>
    113. 

  113. <tr class="memitem:gad0ef4d78d209c4a3f90b9df53afa23a9"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier P&gt; </td></tr>
    114. 

  114. <tr class="memitem:gad0ef4d78d209c4a3f90b9df53afa23a9"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00150.html#gad0ef4d78d209c4a3f90b9df53afa23a9">reflect</a> (vec&lt; L, T, P &gt; const &amp;I, vec&lt; L, T, P &gt; const &amp;N)</td></tr>
    115. 

  115. <tr class="memdesc:gad0ef4d78d209c4a3f90b9df53afa23a9"><td class="mdescLeft">&#160;</td><td class="mdescRight">For the incident vector I and surface orientation N, returns the reflection direction : result = I - 2.0 * dot(N, I) * N.  <a href="a00150.html#gad0ef4d78d209c4a3f90b9df53afa23a9">More...</a><br /></td></tr>
    116. 

  116. <tr class="separator:gad0ef4d78d209c4a3f90b9df53afa23a9"><td class="memSeparator" colspan="2">&#160;</td></tr>
    117. 

  117. <tr class="memitem:gae7fdf06db18e429a29c7d4169e8459be"><td class="memTemplParams" colspan="2">template&lt;length_t L, typename T , qualifier P&gt; </td></tr>
    118. 

  118. <tr class="memitem:gae7fdf06db18e429a29c7d4169e8459be"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vec&lt; L, T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00150.html#gae7fdf06db18e429a29c7d4169e8459be">refract</a> (vec&lt; L, T, P &gt; const &amp;I, vec&lt; L, T, P &gt; const &amp;N, T eta)</td></tr>
    119. 

  119. <tr class="memdesc:gae7fdf06db18e429a29c7d4169e8459be"><td class="mdescLeft">&#160;</td><td class="mdescRight">For the incident vector I and surface normal N, and the ratio of indices of refraction eta, return the refraction vector.  <a href="a00150.html#gae7fdf06db18e429a29c7d4169e8459be">More...</a><br /></td></tr>
    120. 

  120. <tr class="separator:gae7fdf06db18e429a29c7d4169e8459be"><td class="memSeparator" colspan="2">&#160;</td></tr>
    121. 

  121. </table>
    122. 

  122. <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
    123. 

  123. <p>These operate on vectors as vectors, not component-wise. </p>
    124. 

  124. <h2 class="groupheader">Function Documentation</h2>
    125. 

  125. <a class="anchor" id="gaf48bb3113e27775dfa907960a6927d33"></a>
    126. 

  126. <div class="memitem">
    127. 

  127. <div class="memproto">
    128. 

  128.       <table class="memname">
    129. 

  129.         <tr>
    130. 

  130.           <td class="memname">GLM_FUNC_DECL vec&lt;3, T, P&gt; glm::cross </td>
    131. 

  131.           <td>(</td>
    132. 

  132.           <td class="paramtype">vec&lt; 3, T, P &gt; const &amp;&#160;</td>
    133. 

  133.           <td class="paramname"><em>x</em>, </td>
    134. 

  134.         </tr>
    135. 

  135.         <tr>
    136. 

  136.           <td class="paramkey"></td>
    137. 

  137.           <td></td>
    138. 

  138.           <td class="paramtype">vec&lt; 3, T, P &gt; const &amp;&#160;</td>
    139. 

  139.           <td class="paramname"><em>y</em>&#160;</td>
    140. 

  140.         </tr>
    141. 

  141.         <tr>
    142. 

  142.           <td></td>
    143. 

  143.           <td>)</td>
    144. 

  144.           <td></td><td></td>
    145. 

  145.         </tr>
    146. 

  146.       </table>
    147. 

  147. </div><div class="memdoc">
    148. 

  148. 

  149. <p>Returns the cross product of x and y. </p>
    150. 

  150. <dl class="tparams"><dt>Template Parameters</dt><dd>
    151. 

  151.   <table class="tparams">
    152. 

  152.     <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
    153. 

  153.   </table>
    154. 

  154.   </dd>
    155. 

  155. </dl>
    156. 

  156. <dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/cross.xml">GLSL cross man page</a> </dd>
    157. 

  157. <dd>
    158. 

  158. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
    159. 

  159. 

  160. </div>
    161. 

  161. </div>
    162. 

  162. <a class="anchor" id="gadb370a015ab4c544ddd2cb0b2ea1cec8"></a>
    163. 

  163. <div class="memitem">
    164. 

  164. <div class="memproto">
    165. 

  165.       <table class="memname">
    166. 

  166.         <tr>
    167. 

  167.           <td class="memname">GLM_FUNC_DECL T glm::distance </td>
    168. 

  168.           <td>(</td>
    169. 

  169.           <td class="paramtype">vec&lt; L, T, P &gt; const &amp;&#160;</td>
    170. 

  170.           <td class="paramname"><em>p0</em>, </td>
    171. 

  171.         </tr>
    172. 

  172.         <tr>
    173. 

  173.           <td class="paramkey"></td>
    174. 

  174.           <td></td>
    175. 

  175.           <td class="paramtype">vec&lt; L, T, P &gt; const &amp;&#160;</td>
    176. 

  176.           <td class="paramname"><em>p1</em>&#160;</td>
    177. 

  177.         </tr>
    178. 

  178.         <tr>
    179. 

  179.           <td></td>
    180. 

  180.           <td>)</td>
    181. 

  181.           <td></td><td></td>
    182. 

  182.         </tr>
    183. 

  183.       </table>
    184. 

  184. </div><div class="memdoc">
    185. 

  185. 

  186. <p>Returns the distance betwwen p0 and p1, i.e., length(p0 - p1). </p>
    187. 

  187. <dl class="tparams"><dt>Template Parameters</dt><dd>
    188. 

  188.   <table class="tparams">
    189. 

  189.     <tr><td class="paramname">L</td><td>An integer between 1 and 4 included that qualify the dimension of the vector. </td></tr>
    190. 

  190.     <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
    191. 

  191.   </table>
    192. 

  192.   </dd>
    193. 

  193. </dl>
    194. 

  194. <dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/distance.xml">GLSL distance man page</a> </dd>
    195. 

  195. <dd>
    196. 

  196. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
    197. 

  197. 

  198. </div>
    199. 

  199. </div>
    200. 

  200. <a class="anchor" id="gaa51a3aaf29f7c5bd2adb3d7fb9bad3c7"></a>
    201. 

  201. <div class="memitem">
    202. 

  202. <div class="memproto">
    203. 

  203.       <table class="memname">
    204. 

  204.         <tr>
    205. 

  205.           <td class="memname">GLM_FUNC_DECL T glm::dot </td>
    206. 

  206.           <td>(</td>
    207. 

  207.           <td class="paramtype">vec&lt; L, T, P &gt; const &amp;&#160;</td>
    208. 

  208.           <td class="paramname"><em>x</em>, </td>
    209. 

  209.         </tr>
    210. 

  210.         <tr>
    211. 

  211.           <td class="paramkey"></td>
    212. 

  212.           <td></td>
    213. 

  213.           <td class="paramtype">vec&lt; L, T, P &gt; const &amp;&#160;</td>
    214. 

  214.           <td class="paramname"><em>y</em>&#160;</td>
    215. 

  215.         </tr>
    216. 

  216.         <tr>
    217. 

  217.           <td></td>
    218. 

  218.           <td>)</td>
    219. 

  219.           <td></td><td></td>
    220. 

  220.         </tr>
    221. 

  221.       </table>
    222. 

  222. </div><div class="memdoc">
    223. 

  223. 

  224. <p>Returns the dot product of x and y, i.e., result = x * y. </p>
    225. 

  225. <dl class="tparams"><dt>Template Parameters</dt><dd>
    226. 

  226.   <table class="tparams">
    227. 

  227.     <tr><td class="paramname">L</td><td>An integer between 1 and 4 included that qualify the dimension of the vector. </td></tr>
    228. 

  228.     <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
    229. 

  229.   </table>
    230. 

  230.   </dd>
    231. 

  231. </dl>
    232. 

  232. <dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/dot.xml">GLSL dot man page</a> </dd>
    233. 

  233. <dd>
    234. 

  234. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
    235. 

  235. 

  236. </div>
    237. 

  237. </div>
    238. 

  238. <a class="anchor" id="ga4b1a93be2515b8de5ba413eb636396da"></a>
    239. 

  239. <div class="memitem">
    240. 

  240. <div class="memproto">
    241. 

  241.       <table class="memname">
    242. 

  242.         <tr>
    243. 

  243.           <td class="memname">GLM_FUNC_DECL vec&lt;L, T, P&gt; glm::faceforward </td>
    244. 

  244.           <td>(</td>
    245. 

  245.           <td class="paramtype">vec&lt; L, T, P &gt; const &amp;&#160;</td>
    246. 

  246.           <td class="paramname"><em>N</em>, </td>
    247. 

  247.         </tr>
    248. 

  248.         <tr>
    249. 

  249.           <td class="paramkey"></td>
    250. 

  250.           <td></td>
    251. 

  251.           <td class="paramtype">vec&lt; L, T, P &gt; const &amp;&#160;</td>
    252. 

  252.           <td class="paramname"><em>I</em>, </td>
    253. 

  253.         </tr>
    254. 

  254.         <tr>
    255. 

  255.           <td class="paramkey"></td>
    256. 

  256.           <td></td>
    257. 

  257.           <td class="paramtype">vec&lt; L, T, P &gt; const &amp;&#160;</td>
    258. 

  258.           <td class="paramname"><em>Nref</em>&#160;</td>
    259. 

  259.         </tr>
    260. 

  260.         <tr>
    261. 

  261.           <td></td>
    262. 

  262.           <td>)</td>
    263. 

  263.           <td></td><td></td>
    264. 

  264.         </tr>
    265. 

  265.       </table>
    266. 

  266. </div><div class="memdoc">
    267. 

  267. 

  268. <p>If dot(Nref, I) &lt; 0.0, return N, otherwise, return -N. </p>
    269. 

  269. <dl class="tparams"><dt>Template Parameters</dt><dd>
    270. 

  270.   <table class="tparams">
    271. 

  271.     <tr><td class="paramname">L</td><td>An integer between 1 and 4 included that qualify the dimension of the vector. </td></tr>
    272. 

  272.     <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
    273. 

  273.   </table>
    274. 

  274.   </dd>
    275. 

  275. </dl>
    276. 

  276. <dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/faceforward.xml">GLSL faceforward man page</a> </dd>
    277. 

  277. <dd>
    278. 

  278. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
    279. 

  279. 

  280. </div>
    281. 

  281. </div>
    282. 

  282. <a class="anchor" id="ga9363516a0cffaa7c44adea39d2b0334d"></a>
    283. 

  283. <div class="memitem">
    284. 

  284. <div class="memproto">
    285. 

  285.       <table class="memname">
    286. 

  286.         <tr>
    287. 

  287.           <td class="memname">GLM_FUNC_DECL T glm::length </td>
    288. 

  288.           <td>(</td>
    289. 

  289.           <td class="paramtype">vec&lt; L, T, P &gt; const &amp;&#160;</td>
    290. 

  290.           <td class="paramname"><em>x</em></td><td>)</td>
    291. 

  291.           <td></td>
    292. 

  292.         </tr>
    293. 

  293.       </table>
    294. 

  294. </div><div class="memdoc">
    295. 

  295. 

  296. <p>Returns the length of x, i.e., sqrt(x * x). </p>
    297. 

  297. <dl class="tparams"><dt>Template Parameters</dt><dd>
    298. 

  298.   <table class="tparams">
    299. 

  299.     <tr><td class="paramname">L</td><td>An integer between 1 and 4 included that qualify the dimension of the vector. </td></tr>
    300. 

  300.     <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
    301. 

  301.   </table>
    302. 

  302.   </dd>
    303. 

  303. </dl>
    304. 

  304. <dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/length.xml">GLSL length man page</a> </dd>
    305. 

  305. <dd>
    306. 

  306. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
    307. 

  307. 

  308. </div>
    309. 

  309. </div>
    310. 

  310. <a class="anchor" id="ga8263c6c2b8ff1719c89728d643bba27a"></a>
    311. 

  311. <div class="memitem">
    312. 

  312. <div class="memproto">
    313. 

  313.       <table class="memname">
    314. 

  314.         <tr>
    315. 

  315.           <td class="memname">GLM_FUNC_DECL vec&lt;L, T, P&gt; glm::normalize </td>
    316. 

  316.           <td>(</td>
    317. 

  317.           <td class="paramtype">vec&lt; L, T, P &gt; const &amp;&#160;</td>
    318. 

  318.           <td class="paramname"><em>x</em></td><td>)</td>
    319. 

  319.           <td></td>
    320. 

  320.         </tr>
    321. 

  321.       </table>
    322. 

  322. </div><div class="memdoc">
    323. 

  323. 

  324. <p>Returns a vector in the same direction as x but with length of 1. </p>
    325. 

  325. <p>According to issue 10 GLSL 1.10 specification, if length(x) == 0 then result is undefined and generate an error.</p>
    326. 

  326. <dl class="tparams"><dt>Template Parameters</dt><dd>
    327. 

  327.   <table class="tparams">
    328. 

  328.     <tr><td class="paramname">L</td><td>An integer between 1 and 4 included that qualify the dimension of the vector. </td></tr>
    329. 

  329.     <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
    330. 

  330.   </table>
    331. 

  331.   </dd>
    332. 

  332. </dl>
    333. 

  333. <dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/normalize.xml">GLSL normalize man page</a> </dd>
    334. 

  334. <dd>
    335. 

  335. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
    336. 

  336. 

  337. </div>
    338. 

  338. </div>
    339. 

  339. <a class="anchor" id="gad0ef4d78d209c4a3f90b9df53afa23a9"></a>
    340. 

  340. <div class="memitem">
    341. 

  341. <div class="memproto">
    342. 

  342.       <table class="memname">
    343. 

  343.         <tr>
    344. 

  344.           <td class="memname">GLM_FUNC_DECL vec&lt;L, T, P&gt; glm::reflect </td>
    345. 

  345.           <td>(</td>
    346. 

  346.           <td class="paramtype">vec&lt; L, T, P &gt; const &amp;&#160;</td>
    347. 

  347.           <td class="paramname"><em>I</em>, </td>
    348. 

  348.         </tr>
    349. 

  349.         <tr>
    350. 

  350.           <td class="paramkey"></td>
    351. 

  351.           <td></td>
    352. 

  352.           <td class="paramtype">vec&lt; L, T, P &gt; const &amp;&#160;</td>
    353. 

  353.           <td class="paramname"><em>N</em>&#160;</td>
    354. 

  354.         </tr>
    355. 

  355.         <tr>
    356. 

  356.           <td></td>
    357. 

  357.           <td>)</td>
    358. 

  358.           <td></td><td></td>
    359. 

  359.         </tr>
    360. 

  360.       </table>
    361. 

  361. </div><div class="memdoc">
    362. 

  362. 

  363. <p>For the incident vector I and surface orientation N, returns the reflection direction : result = I - 2.0 * dot(N, I) * N. </p>
    364. 

  364. <dl class="tparams"><dt>Template Parameters</dt><dd>
    365. 

  365.   <table class="tparams">
    366. 

  366.     <tr><td class="paramname">L</td><td>An integer between 1 and 4 included that qualify the dimension of the vector. </td></tr>
    367. 

  367.     <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
    368. 

  368.   </table>
    369. 

  369.   </dd>
    370. 

  370. </dl>
    371. 

  371. <dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/reflect.xml">GLSL reflect man page</a> </dd>
    372. 

  372. <dd>
    373. 

  373. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
    374. 

  374. 

  375. </div>
    376. 

  376. </div>
    377. 

  377. <a class="anchor" id="gae7fdf06db18e429a29c7d4169e8459be"></a>
    378. 

  378. <div class="memitem">
    379. 

  379. <div class="memproto">
    380. 

  380.       <table class="memname">
    381. 

  381.         <tr>
    382. 

  382.           <td class="memname">GLM_FUNC_DECL vec&lt;L, T, P&gt; glm::refract </td>
    383. 

  383.           <td>(</td>
    384. 

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

  385.           <td class="paramname"><em>I</em>, </td>
    386. 

  386.         </tr>
    387. 

  387.         <tr>
    388. 

  388.           <td class="paramkey"></td>
    389. 

  389.           <td></td>
    390. 

  390.           <td class="paramtype">vec&lt; L, T, P &gt; const &amp;&#160;</td>
    391. 

  391.           <td class="paramname"><em>N</em>, </td>
    392. 

  392.         </tr>
    393. 

  393.         <tr>
    394. 

  394.           <td class="paramkey"></td>
    395. 

  395.           <td></td>
    396. 

  396.           <td class="paramtype">T&#160;</td>
    397. 

  397.           <td class="paramname"><em>eta</em>&#160;</td>
    398. 

  398.         </tr>
    399. 

  399.         <tr>
    400. 

  400.           <td></td>
    401. 

  401.           <td>)</td>
    402. 

  402.           <td></td><td></td>
    403. 

  403.         </tr>
    404. 

  404.       </table>
    405. 

  405. </div><div class="memdoc">
    406. 

  406. 

  407. <p>For the incident vector I and surface normal N, and the ratio of indices of refraction eta, return the refraction vector. </p>
    408. 

  408. <dl class="tparams"><dt>Template Parameters</dt><dd>
    409. 

  409.   <table class="tparams">
    410. 

  410.     <tr><td class="paramname">L</td><td>An integer between 1 and 4 included that qualify the dimension of the vector. </td></tr>
    411. 

  411.     <tr><td class="paramname">T</td><td>Floating-point scalar types.</td></tr>
    412. 

  412.   </table>
    413. 

  413.   </dd>
    414. 

  414. </dl>
    415. 

  415. <dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/refract.xml">GLSL refract man page</a> </dd>
    416. 

  416. <dd>
    417. 

  417. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
    418. 

  418. 

  419. </div>
    420. 

  420. </div>
    421. 

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    422. 

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    428. 

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    430.