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    36. 

  36. <a href="#func-members">Functions</a>  </div>
    37. 

  37.   <div class="headertitle">
    38. 

  38. <div class="title">Geometric functions</div>  </div>
    39. 

  39. <div class="ingroups"><a class="el" href="a00141.html">GLM Core</a></div></div><!--header-->
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  40. <div class="contents">
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  41. <table class="memberdecls">
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  42. <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
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  43. Functions</h2></td></tr>
    44. 

  44. <tr class="memitem:gaa127ddc9d38f715125f91742d399eb6f"><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
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  45. <tr class="memitem:gaa127ddc9d38f715125f91742d399eb6f"><td class="memTemplItemLeft" align="right" valign="top">detail::tvec3&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#gaa127ddc9d38f715125f91742d399eb6f">cross</a> (detail::tvec3&lt; valType &gt; const &amp;x, detail::tvec3&lt; valType &gt; const &amp;y)</td></tr>
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  46. <tr class="separator:gaa127ddc9d38f715125f91742d399eb6f"><td class="memSeparator" colspan="2">&#160;</td></tr>
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  47. <tr class="memitem:ga3fac0e61144f60184d961dd156709dd3"><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
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  48. <tr class="memitem:ga3fac0e61144f60184d961dd156709dd3"><td class="memTemplItemLeft" align="right" valign="top">genType::value_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#ga3fac0e61144f60184d961dd156709dd3">distance</a> (genType const &amp;p0, genType const &amp;p1)</td></tr>
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  49. <tr class="separator:ga3fac0e61144f60184d961dd156709dd3"><td class="memSeparator" colspan="2">&#160;</td></tr>
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  50. <tr class="memitem:ga7a31d2864eccfe665409e3b44f5e6e8d"><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
    51. 

  51. <tr class="memitem:ga7a31d2864eccfe665409e3b44f5e6e8d"><td class="memTemplItemLeft" align="right" valign="top">genType::value_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#ga7a31d2864eccfe665409e3b44f5e6e8d">dot</a> (genType const &amp;x, genType const &amp;y)</td></tr>
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  52. <tr class="separator:ga7a31d2864eccfe665409e3b44f5e6e8d"><td class="memSeparator" colspan="2">&#160;</td></tr>
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  53. <tr class="memitem:ga855fc5fd7779df1683482564956c6764"><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
    54. 

  54. <tr class="memitem:ga855fc5fd7779df1683482564956c6764"><td class="memTemplItemLeft" align="right" valign="top">genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#ga855fc5fd7779df1683482564956c6764">faceforward</a> (genType const &amp;N, genType const &amp;I, genType const &amp;Nref)</td></tr>
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  56. <tr class="memitem:ga282360c8bb80b80d3c7f5bc00766d873"><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
    57. 

  57. <tr class="memitem:ga282360c8bb80b80d3c7f5bc00766d873"><td class="memTemplItemLeft" align="right" valign="top">genType::value_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#ga282360c8bb80b80d3c7f5bc00766d873">length</a> (genType const &amp;x)</td></tr>
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  58. <tr class="separator:ga282360c8bb80b80d3c7f5bc00766d873"><td class="memSeparator" colspan="2">&#160;</td></tr>
    59. 

  59. <tr class="memitem:ga68b931c228750eeba844c273c54ca43d"><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
    60. 

  60. <tr class="memitem:ga68b931c228750eeba844c273c54ca43d"><td class="memTemplItemLeft" align="right" valign="top">genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#ga68b931c228750eeba844c273c54ca43d">normalize</a> (genType const &amp;x)</td></tr>
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  61. <tr class="separator:ga68b931c228750eeba844c273c54ca43d"><td class="memSeparator" colspan="2">&#160;</td></tr>
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  62. <tr class="memitem:gabe1fa0bef5f854242eb70ce56e5a7d03"><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
    63. 

  63. <tr class="memitem:gabe1fa0bef5f854242eb70ce56e5a7d03"><td class="memTemplItemLeft" align="right" valign="top">genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#gabe1fa0bef5f854242eb70ce56e5a7d03">reflect</a> (genType const &amp;I, genType const &amp;N)</td></tr>
    64. 

  64. <tr class="separator:gabe1fa0bef5f854242eb70ce56e5a7d03"><td class="memSeparator" colspan="2">&#160;</td></tr>
    65. 

  65. <tr class="memitem:gabbb4909d3e99a7a2411cc63252afbbd8"><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
    66. 

  66. <tr class="memitem:gabbb4909d3e99a7a2411cc63252afbbd8"><td class="memTemplItemLeft" align="right" valign="top">genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#gabbb4909d3e99a7a2411cc63252afbbd8">refract</a> (genType const &amp;I, genType const &amp;N, typename genType::value_type const &amp;eta)</td></tr>
    67. 

  67. <tr class="separator:gabbb4909d3e99a7a2411cc63252afbbd8"><td class="memSeparator" colspan="2">&#160;</td></tr>
    68. 

  68. </table>
    69. 

  69. <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
    70. 

  70. <p>These operate on vectors as vectors, not component-wise. </p>
    71. 

  71. <h2 class="groupheader">Function Documentation</h2>
    72. 

  72. <a class="anchor" id="gaa127ddc9d38f715125f91742d399eb6f"></a>
    73. 

  73. <div class="memitem">
    74. 

  74. <div class="memproto">
    75. 

  75.       <table class="memname">
    76. 

  76.         <tr>
    77. 

  77.           <td class="memname">detail::tvec3&lt;valType&gt; glm::cross </td>
    78. 

  78.           <td>(</td>
    79. 

  79.           <td class="paramtype">detail::tvec3&lt; valType &gt; const &amp;&#160;</td>
    80. 

  80.           <td class="paramname"><em>x</em>, </td>
    81. 

  81.         </tr>
    82. 

  82.         <tr>
    83. 

  83.           <td class="paramkey"></td>
    84. 

  84.           <td></td>
    85. 

  85.           <td class="paramtype">detail::tvec3&lt; valType &gt; const &amp;&#160;</td>
    86. 

  86.           <td class="paramname"><em>y</em>&#160;</td>
    87. 

  87.         </tr>
    88. 

  88.         <tr>
    89. 

  89.           <td></td>
    90. 

  90.           <td>)</td>
    91. 

  91.           <td></td><td></td>
    92. 

  92.         </tr>
    93. 

  93.       </table>
    94. 

  94. </div><div class="memdoc">
    95. 

  95. 

  96. <p>Returns the cross product of x and y. </p>
    97. 

  97. <dl class="tparams"><dt>Template Parameters</dt><dd>
    98. 

  98.   <table class="tparams">
    99. 

  99.     <tr><td class="paramname">valType</td><td>Floating-point scalar types.</td></tr>
    100. 

  100.   </table>
    101. 

  101.   </dd>
    102. 

  102. </dl>
    103. 

  103. <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>
    104. 

  104. <dd>
    105. 

  105. <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>
    106. 

  106. 

  107. </div>
    108. 

  108. </div>
    109. 

  109. <a class="anchor" id="ga3fac0e61144f60184d961dd156709dd3"></a>
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  110. <div class="memitem">
    111. 

  111. <div class="memproto">
    112. 

  112.       <table class="memname">
    113. 

  113.         <tr>
    114. 

  114.           <td class="memname">genType::value_type glm::distance </td>
    115. 

  115.           <td>(</td>
    116. 

  116.           <td class="paramtype">genType const &amp;&#160;</td>
    117. 

  117.           <td class="paramname"><em>p0</em>, </td>
    118. 

  118.         </tr>
    119. 

  119.         <tr>
    120. 

  120.           <td class="paramkey"></td>
    121. 

  121.           <td></td>
    122. 

  122.           <td class="paramtype">genType const &amp;&#160;</td>
    123. 

  123.           <td class="paramname"><em>p1</em>&#160;</td>
    124. 

  124.         </tr>
    125. 

  125.         <tr>
    126. 

  126.           <td></td>
    127. 

  127.           <td>)</td>
    128. 

  128.           <td></td><td></td>
    129. 

  129.         </tr>
    130. 

  130.       </table>
    131. 

  131. </div><div class="memdoc">
    132. 

  132. 

  133. <p>Returns the distance betwwen p0 and p1, i.e., length(p0 - p1). </p>
    134. 

  134. <dl class="tparams"><dt>Template Parameters</dt><dd>
    135. 

  135.   <table class="tparams">
    136. 

  136.     <tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
    137. 

  137.   </table>
    138. 

  138.   </dd>
    139. 

  139. </dl>
    140. 

  140. <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>
    141. 

  141. <dd>
    142. 

  142. <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>
    143. 

  143. 

  144. </div>
    145. 

  145. </div>
    146. 

  146. <a class="anchor" id="ga7a31d2864eccfe665409e3b44f5e6e8d"></a>
    147. 

  147. <div class="memitem">
    148. 

  148. <div class="memproto">
    149. 

  149.       <table class="memname">
    150. 

  150.         <tr>
    151. 

  151.           <td class="memname">genType::value_type glm::dot </td>
    152. 

  152.           <td>(</td>
    153. 

  153.           <td class="paramtype">genType const &amp;&#160;</td>
    154. 

  154.           <td class="paramname"><em>x</em>, </td>
    155. 

  155.         </tr>
    156. 

  156.         <tr>
    157. 

  157.           <td class="paramkey"></td>
    158. 

  158.           <td></td>
    159. 

  159.           <td class="paramtype">genType const &amp;&#160;</td>
    160. 

  160.           <td class="paramname"><em>y</em>&#160;</td>
    161. 

  161.         </tr>
    162. 

  162.         <tr>
    163. 

  163.           <td></td>
    164. 

  164.           <td>)</td>
    165. 

  165.           <td></td><td></td>
    166. 

  166.         </tr>
    167. 

  167.       </table>
    168. 

  168. </div><div class="memdoc">
    169. 

  169. 

  170. <p>Returns the dot product of x and y, i.e., result = x * y. </p>
    171. 

  171. <dl class="tparams"><dt>Template Parameters</dt><dd>
    172. 

  172.   <table class="tparams">
    173. 

  173.     <tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
    174. 

  174.   </table>
    175. 

  175.   </dd>
    176. 

  176. </dl>
    177. 

  177. <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>
    178. 

  178. <dd>
    179. 

  179. <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>
    180. 

  180. 

  181. </div>
    182. 

  182. </div>
    183. 

  183. <a class="anchor" id="ga855fc5fd7779df1683482564956c6764"></a>
    184. 

  184. <div class="memitem">
    185. 

  185. <div class="memproto">
    186. 

  186.       <table class="memname">
    187. 

  187.         <tr>
    188. 

  188.           <td class="memname">genType glm::faceforward </td>
    189. 

  189.           <td>(</td>
    190. 

  190.           <td class="paramtype">genType const &amp;&#160;</td>
    191. 

  191.           <td class="paramname"><em>N</em>, </td>
    192. 

  192.         </tr>
    193. 

  193.         <tr>
    194. 

  194.           <td class="paramkey"></td>
    195. 

  195.           <td></td>
    196. 

  196.           <td class="paramtype">genType const &amp;&#160;</td>
    197. 

  197.           <td class="paramname"><em>I</em>, </td>
    198. 

  198.         </tr>
    199. 

  199.         <tr>
    200. 

  200.           <td class="paramkey"></td>
    201. 

  201.           <td></td>
    202. 

  202.           <td class="paramtype">genType const &amp;&#160;</td>
    203. 

  203.           <td class="paramname"><em>Nref</em>&#160;</td>
    204. 

  204.         </tr>
    205. 

  205.         <tr>
    206. 

  206.           <td></td>
    207. 

  207.           <td>)</td>
    208. 

  208.           <td></td><td></td>
    209. 

  209.         </tr>
    210. 

  210.       </table>
    211. 

  211. </div><div class="memdoc">
    212. 

  212. 

  213. <p>If dot(Nref, I) &lt; 0.0, return N, otherwise, return -N. </p>
    214. 

  214. <dl class="tparams"><dt>Template Parameters</dt><dd>
    215. 

  215.   <table class="tparams">
    216. 

  216.     <tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
    217. 

  217.   </table>
    218. 

  218.   </dd>
    219. 

  219. </dl>
    220. 

  220. <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>
    221. 

  221. <dd>
    222. 

  222. <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>
    223. 

  223. 

  224. </div>
    225. 

  225. </div>
    226. 

  226. <a class="anchor" id="ga282360c8bb80b80d3c7f5bc00766d873"></a>
    227. 

  227. <div class="memitem">
    228. 

  228. <div class="memproto">
    229. 

  229.       <table class="memname">
    230. 

  230.         <tr>
    231. 

  231.           <td class="memname">genType::value_type glm::length </td>
    232. 

  232.           <td>(</td>
    233. 

  233.           <td class="paramtype">genType const &amp;&#160;</td>
    234. 

  234.           <td class="paramname"><em>x</em></td><td>)</td>
    235. 

  235.           <td></td>
    236. 

  236.         </tr>
    237. 

  237.       </table>
    238. 

  238. </div><div class="memdoc">
    239. 

  239. 

  240. <p>Returns the length of x, i.e., sqrt(x * x). </p>
    241. 

  241. <dl class="tparams"><dt>Template Parameters</dt><dd>
    242. 

  242.   <table class="tparams">
    243. 

  243.     <tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
    244. 

  244.   </table>
    245. 

  245.   </dd>
    246. 

  246. </dl>
    247. 

  247. <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>
    248. 

  248. <dd>
    249. 

  249. <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>
    250. 

  250. 

  251. </div>
    252. 

  252. </div>
    253. 

  253. <a class="anchor" id="ga68b931c228750eeba844c273c54ca43d"></a>
    254. 

  254. <div class="memitem">
    255. 

  255. <div class="memproto">
    256. 

  256.       <table class="memname">
    257. 

  257.         <tr>
    258. 

  258.           <td class="memname">genType glm::normalize </td>
    259. 

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

  260.           <td class="paramtype">genType const &amp;&#160;</td>
    261. 

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

  262.           <td></td>
    263. 

  263.         </tr>
    264. 

  264.       </table>
    265. 

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

  266. 

  267. <p>Returns a vector in the same direction as x but with length of 1. </p>
    268. 

  268. <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>
    269. 

  269. <dd>
    270. 

  270. <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>
    271. 

  271. 

  272. </div>
    273. 

  273. </div>
    274. 

  274. <a class="anchor" id="gabe1fa0bef5f854242eb70ce56e5a7d03"></a>
    275. 

  275. <div class="memitem">
    276. 

  276. <div class="memproto">
    277. 

  277.       <table class="memname">
    278. 

  278.         <tr>
    279. 

  279.           <td class="memname">genType glm::reflect </td>
    280. 

  280.           <td>(</td>
    281. 

  281.           <td class="paramtype">genType const &amp;&#160;</td>
    282. 

  282.           <td class="paramname"><em>I</em>, </td>
    283. 

  283.         </tr>
    284. 

  284.         <tr>
    285. 

  285.           <td class="paramkey"></td>
    286. 

  286.           <td></td>
    287. 

  287.           <td class="paramtype">genType const &amp;&#160;</td>
    288. 

  288.           <td class="paramname"><em>N</em>&#160;</td>
    289. 

  289.         </tr>
    290. 

  290.         <tr>
    291. 

  291.           <td></td>
    292. 

  292.           <td>)</td>
    293. 

  293.           <td></td><td></td>
    294. 

  294.         </tr>
    295. 

  295.       </table>
    296. 

  296. </div><div class="memdoc">
    297. 

  297. 

  298. <p>For the incident vector I and surface orientation N, returns the reflection direction : result = I - 2.0 * dot(N, I) * N. </p>
    299. 

  299. <dl class="tparams"><dt>Template Parameters</dt><dd>
    300. 

  300.   <table class="tparams">
    301. 

  301.     <tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
    302. 

  302.   </table>
    303. 

  303.   </dd>
    304. 

  304. </dl>
    305. 

  305. <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>
    306. 

  306. <dd>
    307. 

  307. <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>
    308. 

  308. 

  309. </div>
    310. 

  310. </div>
    311. 

  311. <a class="anchor" id="gabbb4909d3e99a7a2411cc63252afbbd8"></a>
    312. 

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

  313. <div class="memproto">
    314. 

  314.       <table class="memname">
    315. 

  315.         <tr>
    316. 

  316.           <td class="memname">genType glm::refract </td>
    317. 

  317.           <td>(</td>
    318. 

  318.           <td class="paramtype">genType const &amp;&#160;</td>
    319. 

  319.           <td class="paramname"><em>I</em>, </td>
    320. 

  320.         </tr>
    321. 

  321.         <tr>
    322. 

  322.           <td class="paramkey"></td>
    323. 

  323.           <td></td>
    324. 

  324.           <td class="paramtype">genType const &amp;&#160;</td>
    325. 

  325.           <td class="paramname"><em>N</em>, </td>
    326. 

  326.         </tr>
    327. 

  327.         <tr>
    328. 

  328.           <td class="paramkey"></td>
    329. 

  329.           <td></td>
    330. 

  330.           <td class="paramtype">typename genType::value_type const &amp;&#160;</td>
    331. 

  331.           <td class="paramname"><em>eta</em>&#160;</td>
    332. 

  332.         </tr>
    333. 

  333.         <tr>
    334. 

  334.           <td></td>
    335. 

  335.           <td>)</td>
    336. 

  336.           <td></td><td></td>
    337. 

  337.         </tr>
    338. 

  338.       </table>
    339. 

  339. </div><div class="memdoc">
    340. 

  340. 

  341. <p>For the incident vector I and surface normal N, and the ratio of indices of refraction eta, return the refraction vector. </p>
    342. 

  342. <dl class="tparams"><dt>Template Parameters</dt><dd>
    343. 

  343.   <table class="tparams">
    344. 

  344.     <tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
    345. 

  345.   </table>
    346. 

  346.   </dd>
    347. 

  347. </dl>
    348. 

  348. <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>
    349. 

  349. <dd>
    350. 

  350. <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>
    351. 

  351. 

  352. </div>
    353. 

  353. </div>
    354. 

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