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  38. <div class="header">
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    40. 

  40. <a href="#func-members">Functions</a>  </div>
    41. 

  41.   <div class="headertitle">
    42. 

  42. <div class="title">Geometric functions<div class="ingroups"><a class="el" href="a00160.html">GLM Core</a></div></div>  </div>
    43. 

  43. </div><!--header-->
    44. 

  44. <div class="contents">
    45. 

  45. <table class="memberdecls">
    46. 

  46. <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
    47. 

  47. Functions</h2></td></tr>
    48. 

  48. <tr class="memitem:gafe2cae8cb26fd44be62aee97369d0af8"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
    49. 

  49. <tr class="memitem:gafe2cae8cb26fd44be62aee97369d0af8"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tvec3&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00151.html#gafe2cae8cb26fd44be62aee97369d0af8">cross</a> (tvec3&lt; T, P &gt; const &amp;x, tvec3&lt; T, P &gt; const &amp;y)</td></tr>
    50. 

  50. <tr class="separator:gafe2cae8cb26fd44be62aee97369d0af8"><td class="memSeparator" colspan="2">&#160;</td></tr>
    51. 

  51. <tr class="memitem:ga7ca317dde0d7e94d920153554d4a02a8"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
    52. 

  52. <tr class="memitem:ga7ca317dde0d7e94d920153554d4a02a8"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00151.html#ga7ca317dde0d7e94d920153554d4a02a8">distance</a> (vecType&lt; T, P &gt; const &amp;p0, vecType&lt; T, P &gt; const &amp;p1)</td></tr>
    53. 

  53. <tr class="separator:ga7ca317dde0d7e94d920153554d4a02a8"><td class="memSeparator" colspan="2">&#160;</td></tr>
    54. 

  54. <tr class="memitem:ga7dada304da2ba7dd3376ab4f178c3f6b"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
    55. 

  55. <tr class="memitem:ga7dada304da2ba7dd3376ab4f178c3f6b"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00151.html#ga7dada304da2ba7dd3376ab4f178c3f6b">dot</a> (vecType&lt; T, P &gt; const &amp;x, vecType&lt; T, P &gt; const &amp;y)</td></tr>
    56. 

  56. <tr class="separator:ga7dada304da2ba7dd3376ab4f178c3f6b"><td class="memSeparator" colspan="2">&#160;</td></tr>
    57. 

  57. <tr class="memitem:ga4bbb036ef9527ee9f67384233029ed9b"><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
    58. 

  58. <tr class="memitem:ga4bbb036ef9527ee9f67384233029ed9b"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00151.html#ga4bbb036ef9527ee9f67384233029ed9b">faceforward</a> (genType const &amp;N, genType const &amp;I, genType const &amp;Nref)</td></tr>
    59. 

  59. <tr class="separator:ga4bbb036ef9527ee9f67384233029ed9b"><td class="memSeparator" colspan="2">&#160;</td></tr>
    60. 

  60. <tr class="memitem:ga18d45e3d4c7705e67ccfabd99e521604"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
    61. 

  61. <tr class="memitem:ga18d45e3d4c7705e67ccfabd99e521604"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00151.html#ga18d45e3d4c7705e67ccfabd99e521604">length</a> (vecType&lt; T, P &gt; const &amp;x)</td></tr>
    62. 

  62. <tr class="separator:ga18d45e3d4c7705e67ccfabd99e521604"><td class="memSeparator" colspan="2">&#160;</td></tr>
    63. 

  63. <tr class="memitem:gada9451ec170a36fe53552812b9c03a68"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
    64. 

  64. <tr class="memitem:gada9451ec170a36fe53552812b9c03a68"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vecType&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00151.html#gada9451ec170a36fe53552812b9c03a68">normalize</a> (vecType&lt; T, P &gt; const &amp;x)</td></tr>
    65. 

  65. <tr class="separator:gada9451ec170a36fe53552812b9c03a68"><td class="memSeparator" colspan="2">&#160;</td></tr>
    66. 

  66. <tr class="memitem:gab63646fc36b81cf69d3ce123a72f76f2"><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
    67. 

  67. <tr class="memitem:gab63646fc36b81cf69d3ce123a72f76f2"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00151.html#gab63646fc36b81cf69d3ce123a72f76f2">reflect</a> (genType const &amp;I, genType const &amp;N)</td></tr>
    68. 

  68. <tr class="separator:gab63646fc36b81cf69d3ce123a72f76f2"><td class="memSeparator" colspan="2">&#160;</td></tr>
    69. 

  69. <tr class="memitem:gab7e7cdf4403931a5f7b74560ad64159b"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
    70. 

  70. <tr class="memitem:gab7e7cdf4403931a5f7b74560ad64159b"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vecType&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00151.html#gab7e7cdf4403931a5f7b74560ad64159b">refract</a> (vecType&lt; T, P &gt; const &amp;I, vecType&lt; T, P &gt; const &amp;N, T eta)</td></tr>
    71. 

  71. <tr class="separator:gab7e7cdf4403931a5f7b74560ad64159b"><td class="memSeparator" colspan="2">&#160;</td></tr>
    72. 

  72. </table>
    73. 

  73. <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
    74. 

  74. <p>These operate on vectors as vectors, not component-wise. </p>
    75. 

  75. <h2 class="groupheader">Function Documentation</h2>
    76. 

  76. <a class="anchor" id="gafe2cae8cb26fd44be62aee97369d0af8"></a>
    77. 

  77. <div class="memitem">
    78. 

  78. <div class="memproto">
    79. 

  79.       <table class="memname">
    80. 

  80.         <tr>
    81. 

  81.           <td class="memname">GLM_FUNC_DECL tvec3&lt;T, P&gt; glm::cross </td>
    82. 

  82.           <td>(</td>
    83. 

  83.           <td class="paramtype">tvec3&lt; T, P &gt; const &amp;&#160;</td>
    84. 

  84.           <td class="paramname"><em>x</em>, </td>
    85. 

  85.         </tr>
    86. 

  86.         <tr>
    87. 

  87.           <td class="paramkey"></td>
    88. 

  88.           <td></td>
    89. 

  89.           <td class="paramtype">tvec3&lt; T, P &gt; const &amp;&#160;</td>
    90. 

  90.           <td class="paramname"><em>y</em>&#160;</td>
    91. 

  91.         </tr>
    92. 

  92.         <tr>
    93. 

  93.           <td></td>
    94. 

  94.           <td>)</td>
    95. 

  95.           <td></td><td></td>
    96. 

  96.         </tr>
    97. 

  97.       </table>
    98. 

  98. </div><div class="memdoc">
    99. 

  99. 

  100. <p>Returns the cross product of x and y. </p>
    101. 

  101. <dl class="tparams"><dt>Template Parameters</dt><dd>
    102. 

  102.   <table class="tparams">
    103. 

  103.     <tr><td class="paramname">valType</td><td>Floating-point scalar types.</td></tr>
    104. 

  104.   </table>
    105. 

  105.   </dd>
    106. 

  106. </dl>
    107. 

  107. <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>
    108. 

  108. <dd>
    109. 

  109. <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>
    110. 

  110. 

  111. </div>
    112. 

  112. </div>
    113. 

  113. <a class="anchor" id="ga7ca317dde0d7e94d920153554d4a02a8"></a>
    114. 

  114. <div class="memitem">
    115. 

  115. <div class="memproto">
    116. 

  116.       <table class="memname">
    117. 

  117.         <tr>
    118. 

  118.           <td class="memname">GLM_FUNC_DECL T glm::distance </td>
    119. 

  119.           <td>(</td>
    120. 

  120.           <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
    121. 

  121.           <td class="paramname"><em>p0</em>, </td>
    122. 

  122.         </tr>
    123. 

  123.         <tr>
    124. 

  124.           <td class="paramkey"></td>
    125. 

  125.           <td></td>
    126. 

  126.           <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
    127. 

  127.           <td class="paramname"><em>p1</em>&#160;</td>
    128. 

  128.         </tr>
    129. 

  129.         <tr>
    130. 

  130.           <td></td>
    131. 

  131.           <td>)</td>
    132. 

  132.           <td></td><td></td>
    133. 

  133.         </tr>
    134. 

  134.       </table>
    135. 

  135. </div><div class="memdoc">
    136. 

  136. 

  137. <p>Returns the distance betwwen p0 and p1, i.e., length(p0 - p1). </p>
    138. 

  138. <dl class="tparams"><dt>Template Parameters</dt><dd>
    139. 

  139.   <table class="tparams">
    140. 

  140.     <tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
    141. 

  141.   </table>
    142. 

  142.   </dd>
    143. 

  143. </dl>
    144. 

  144. <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>
    145. 

  145. <dd>
    146. 

  146. <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>
    147. 

  147. 

  148. </div>
    149. 

  149. </div>
    150. 

  150. <a class="anchor" id="ga7dada304da2ba7dd3376ab4f178c3f6b"></a>
    151. 

  151. <div class="memitem">
    152. 

  152. <div class="memproto">
    153. 

  153.       <table class="memname">
    154. 

  154.         <tr>
    155. 

  155.           <td class="memname">GLM_FUNC_DECL T glm::dot </td>
    156. 

  156.           <td>(</td>
    157. 

  157.           <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
    158. 

  158.           <td class="paramname"><em>x</em>, </td>
    159. 

  159.         </tr>
    160. 

  160.         <tr>
    161. 

  161.           <td class="paramkey"></td>
    162. 

  162.           <td></td>
    163. 

  163.           <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
    164. 

  164.           <td class="paramname"><em>y</em>&#160;</td>
    165. 

  165.         </tr>
    166. 

  166.         <tr>
    167. 

  167.           <td></td>
    168. 

  168.           <td>)</td>
    169. 

  169.           <td></td><td></td>
    170. 

  170.         </tr>
    171. 

  171.       </table>
    172. 

  172. </div><div class="memdoc">
    173. 

  173. 

  174. <p>Returns the dot product of x and y, i.e., result = x * y. </p>
    175. 

  175. <dl class="tparams"><dt>Template Parameters</dt><dd>
    176. 

  176.   <table class="tparams">
    177. 

  177.     <tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
    178. 

  178.   </table>
    179. 

  179.   </dd>
    180. 

  180. </dl>
    181. 

  181. <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>
    182. 

  182. <dd>
    183. 

  183. <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>
    184. 

  184. 

  185. </div>
    186. 

  186. </div>
    187. 

  187. <a class="anchor" id="ga4bbb036ef9527ee9f67384233029ed9b"></a>
    188. 

  188. <div class="memitem">
    189. 

  189. <div class="memproto">
    190. 

  190.       <table class="memname">
    191. 

  191.         <tr>
    192. 

  192.           <td class="memname">GLM_FUNC_DECL genType glm::faceforward </td>
    193. 

  193.           <td>(</td>
    194. 

  194.           <td class="paramtype">genType const &amp;&#160;</td>
    195. 

  195.           <td class="paramname"><em>N</em>, </td>
    196. 

  196.         </tr>
    197. 

  197.         <tr>
    198. 

  198.           <td class="paramkey"></td>
    199. 

  199.           <td></td>
    200. 

  200.           <td class="paramtype">genType const &amp;&#160;</td>
    201. 

  201.           <td class="paramname"><em>I</em>, </td>
    202. 

  202.         </tr>
    203. 

  203.         <tr>
    204. 

  204.           <td class="paramkey"></td>
    205. 

  205.           <td></td>
    206. 

  206.           <td class="paramtype">genType const &amp;&#160;</td>
    207. 

  207.           <td class="paramname"><em>Nref</em>&#160;</td>
    208. 

  208.         </tr>
    209. 

  209.         <tr>
    210. 

  210.           <td></td>
    211. 

  211.           <td>)</td>
    212. 

  212.           <td></td><td></td>
    213. 

  213.         </tr>
    214. 

  214.       </table>
    215. 

  215. </div><div class="memdoc">
    216. 

  216. 

  217. <p>If dot(Nref, I) &lt; 0.0, return N, otherwise, return -N. </p>
    218. 

  218. <dl class="tparams"><dt>Template Parameters</dt><dd>
    219. 

  219.   <table class="tparams">
    220. 

  220.     <tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
    221. 

  221.   </table>
    222. 

  222.   </dd>
    223. 

  223. </dl>
    224. 

  224. <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>
    225. 

  225. <dd>
    226. 

  226. <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>
    227. 

  227. 

  228. </div>
    229. 

  229. </div>
    230. 

  230. <a class="anchor" id="ga18d45e3d4c7705e67ccfabd99e521604"></a>
    231. 

  231. <div class="memitem">
    232. 

  232. <div class="memproto">
    233. 

  233.       <table class="memname">
    234. 

  234.         <tr>
    235. 

  235.           <td class="memname">GLM_FUNC_DECL T glm::length </td>
    236. 

  236.           <td>(</td>
    237. 

  237.           <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
    238. 

  238.           <td class="paramname"><em>x</em></td><td>)</td>
    239. 

  239.           <td></td>
    240. 

  240.         </tr>
    241. 

  241.       </table>
    242. 

  242. </div><div class="memdoc">
    243. 

  243. 

  244. <p>Returns the length of x, i.e., sqrt(x * x). </p>
    245. 

  245. <dl class="tparams"><dt>Template Parameters</dt><dd>
    246. 

  246.   <table class="tparams">
    247. 

  247.     <tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
    248. 

  248.   </table>
    249. 

  249.   </dd>
    250. 

  250. </dl>
    251. 

  251. <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>
    252. 

  252. <dd>
    253. 

  253. <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>
    254. 

  254. 

  255. </div>
    256. 

  256. </div>
    257. 

  257. <a class="anchor" id="gada9451ec170a36fe53552812b9c03a68"></a>
    258. 

  258. <div class="memitem">
    259. 

  259. <div class="memproto">
    260. 

  260.       <table class="memname">
    261. 

  261.         <tr>
    262. 

  262.           <td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::normalize </td>
    263. 

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

  264.           <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
    265. 

  265.           <td class="paramname"><em>x</em></td><td>)</td>
    266. 

  266.           <td></td>
    267. 

  267.         </tr>
    268. 

  268.       </table>
    269. 

  269. </div><div class="memdoc">
    270. 

  270. 

  271. <p>Returns a vector in the same direction as x but with length of 1. </p>
    272. 

  272. <p>According to issue 10 GLSL 1.10 specification, if length(x) == 0 then result is undefined and generate an error.</p>
    273. 

  273. <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>
    274. 

  274. <dd>
    275. 

  275. <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>
    276. 

  276. 

  277. </div>
    278. 

  278. </div>
    279. 

  279. <a class="anchor" id="gab63646fc36b81cf69d3ce123a72f76f2"></a>
    280. 

  280. <div class="memitem">
    281. 

  281. <div class="memproto">
    282. 

  282.       <table class="memname">
    283. 

  283.         <tr>
    284. 

  284.           <td class="memname">GLM_FUNC_DECL genType glm::reflect </td>
    285. 

  285.           <td>(</td>
    286. 

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

  287.           <td class="paramname"><em>I</em>, </td>
    288. 

  288.         </tr>
    289. 

  289.         <tr>
    290. 

  290.           <td class="paramkey"></td>
    291. 

  291.           <td></td>
    292. 

  292.           <td class="paramtype">genType const &amp;&#160;</td>
    293. 

  293.           <td class="paramname"><em>N</em>&#160;</td>
    294. 

  294.         </tr>
    295. 

  295.         <tr>
    296. 

  296.           <td></td>
    297. 

  297.           <td>)</td>
    298. 

  298.           <td></td><td></td>
    299. 

  299.         </tr>
    300. 

  300.       </table>
    301. 

  301. </div><div class="memdoc">
    302. 

  302. 

  303. <p>For the incident vector I and surface orientation N, returns the reflection direction : result = I - 2.0 * dot(N, I) * N. </p>
    304. 

  304. <dl class="tparams"><dt>Template Parameters</dt><dd>
    305. 

  305.   <table class="tparams">
    306. 

  306.     <tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
    307. 

  307.   </table>
    308. 

  308.   </dd>
    309. 

  309. </dl>
    310. 

  310. <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>
    311. 

  311. <dd>
    312. 

  312. <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>
    313. 

  313. 

  314. </div>
    315. 

  315. </div>
    316. 

  316. <a class="anchor" id="gab7e7cdf4403931a5f7b74560ad64159b"></a>
    317. 

  317. <div class="memitem">
    318. 

  318. <div class="memproto">
    319. 

  319.       <table class="memname">
    320. 

  320.         <tr>
    321. 

  321.           <td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::refract </td>
    322. 

  322.           <td>(</td>
    323. 

  323.           <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
    324. 

  324.           <td class="paramname"><em>I</em>, </td>
    325. 

  325.         </tr>
    326. 

  326.         <tr>
    327. 

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

  328.           <td></td>
    329. 

  329.           <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
    330. 

  330.           <td class="paramname"><em>N</em>, </td>
    331. 

  331.         </tr>
    332. 

  332.         <tr>
    333. 

  333.           <td class="paramkey"></td>
    334. 

  334.           <td></td>
    335. 

  335.           <td class="paramtype">T&#160;</td>
    336. 

  336.           <td class="paramname"><em>eta</em>&#160;</td>
    337. 

  337.         </tr>
    338. 

  338.         <tr>
    339. 

  339.           <td></td>
    340. 

  340.           <td>)</td>
    341. 

  341.           <td></td><td></td>
    342. 

  342.         </tr>
    343. 

  343.       </table>
    344. 

  344. </div><div class="memdoc">
    345. 

  345. 

  346. <p>For the incident vector I and surface normal N, and the ratio of indices of refraction eta, return the refraction vector. </p>
    347. 

  347. <dl class="tparams"><dt>Template Parameters</dt><dd>
    348. 

  348.   <table class="tparams">
    349. 

  349.     <tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
    350. 

  350.   </table>
    351. 

  351.   </dd>
    352. 

  352. </dl>
    353. 

  353. <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>
    354. 

  354. <dd>
    355. 

  355. <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>
    356. 

  356. 

  357. </div>
    358. 

  358. </div>
    359. 

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    360. 

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    361. 

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    362. 

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  363. <img class="footer" src="doxygen.png" alt="doxygen"/>
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    365. 

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    366. 

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    368.