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  6. <title>Matrix functions</title>
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  37.       <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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  45. <div class="header">
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  46.   <div class="summary">
    47. 

  47. <a href="#func-members">Functions</a>  </div>
    48. 

  48.   <div class="headertitle">
    49. 

  49. <div class="title">Matrix functions</div>  </div>
    50. 

  50. <div class="ingroups"><a class="el" href="a00139.html">GLM Core</a></div></div>
    51. 

  51. <div class="contents">
    52. 

  52. <table class="memberdecls">
    53. 

  53. <tr><td colspan="2"><h2><a name="func-members"></a>
    54. 

  54. Functions</h2></td></tr>
    55. 

  55. <tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
    56. 

  56. <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat2x2&lt; valType &gt;<br class="typebreak"/>
    57. 

  57. ::value_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#gad3bfb2098e1572d2131a261c1fb76dd4">determinant</a> (detail::tmat2x2&lt; valType &gt; const &amp;m)</td></tr>
    58. 

  58. <tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
    59. 

  59. <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat3x3&lt; valType &gt;<br class="typebreak"/>
    60. 

  60. ::value_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#ga2f26bb474e077cf03b9db23f813e8450">determinant</a> (detail::tmat3x3&lt; valType &gt; const &amp;m)</td></tr>
    61. 

  61. <tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
    62. 

  62. <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat4x4&lt; valType &gt;<br class="typebreak"/>
    63. 

  63. ::value_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#ga1daa306eecf6e8b379626d761b8c222f">determinant</a> (detail::tmat4x4&lt; valType &gt; const &amp;m)</td></tr>
    64. 

  64. <tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
    65. 

  65. <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat2x2&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#gada3384a86cf38a1fd96275194b8ba8c0">inverse</a> (detail::tmat2x2&lt; valType &gt; const &amp;m)</td></tr>
    66. 

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

  67. <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat3x3&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#ga1a455651f7ba323ade0cd9191542b179">inverse</a> (detail::tmat3x3&lt; valType &gt; const &amp;m)</td></tr>
    68. 

  68. <tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
    69. 

  69. <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat4x4&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#gabc94b29dea14e111e48bc963c47559b2">inverse</a> (detail::tmat4x4&lt; valType &gt; const &amp;m)</td></tr>
    70. 

  70. <tr><td class="memTemplParams" colspan="2">template&lt;typename matType &gt; </td></tr>
    71. 

  71. <tr><td class="memTemplItemLeft" align="right" valign="top">matType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#ga0e48491a51b3f366d671c01894705605">matrixCompMult</a> (matType const &amp;x, matType const &amp;y)</td></tr>
    72. 

  72. <tr><td class="memTemplParams" colspan="2">template&lt;typename vecType , typename matType &gt; </td></tr>
    73. 

  73. <tr><td class="memTemplItemLeft" align="right" valign="top">matType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#ga5d896e8651512fc098a677dbe403eeac">outerProduct</a> (vecType const &amp;c, vecType const &amp;r)</td></tr>
    74. 

  74. <tr><td class="memTemplParams" colspan="2">template&lt;typename matType &gt; </td></tr>
    75. 

  75. <tr><td class="memTemplItemLeft" align="right" valign="top">matType::transpose_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#gac58a4106a57fb7da41b3aeae3832998b">transpose</a> (matType const &amp;x)</td></tr>
    76. 

  76. </table>
    77. 

  77. <hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
    78. 

  78. <p>For each of the following built-in matrix functions, there is both a single-precision floating point version, where all arguments and return values are single precision, and a double-precision floating version, where all arguments and return values are double precision. </p>
    79. 

  79. <p>Only the single-precision floating point version is shown. </p>
    80. 

  80. <hr/><h2>Function Documentation</h2>
    81. 

  81. <a class="anchor" id="gad3bfb2098e1572d2131a261c1fb76dd4"></a><!-- doxytag: member="glm::determinant" ref="gad3bfb2098e1572d2131a261c1fb76dd4" args="(detail::tmat2x2&lt; valType &gt; const &amp;m)" -->
    82. 

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

  83. <div class="memproto">
    84. 

  84.       <table class="memname">
    85. 

  85.         <tr>
    86. 

  86.           <td class="memname">detail::tmat2x2&lt;valType&gt;::value_type glm::determinant </td>
    87. 

  87.           <td>(</td>
    88. 

  88.           <td class="paramtype">detail::tmat2x2&lt; valType &gt; const &amp;&#160;</td>
    89. 

  89.           <td class="paramname"><em>m</em></td><td>)</td>
    90. 

  90.           <td></td>
    91. 

  91.         </tr>
    92. 

  92.       </table>
    93. 

  93. </div>
    94. 

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

  95. 

  96. <p>Return the determinant of a mat2 matrix. </p>
    97. 

  97. <dl><dt><b>Template Parameters:</b></dt><dd>
    98. 

  98.   <table class="">
    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="see"><dt><b>See also:</b></dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/determinant.xml">GLSL determinant 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 8.6 Matrix Functions</a> </dd></dl>
    106. 

  106. 

  107. </div>
    108. 

  108. </div>
    109. 

  109. <a class="anchor" id="ga2f26bb474e077cf03b9db23f813e8450"></a><!-- doxytag: member="glm::determinant" ref="ga2f26bb474e077cf03b9db23f813e8450" args="(detail::tmat3x3&lt; valType &gt; const &amp;m)" -->
    110. 

  110. <div class="memitem">
    111. 

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

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

  113.         <tr>
    114. 

  114.           <td class="memname">detail::tmat3x3&lt;valType&gt;::value_type glm::determinant </td>
    115. 

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

  116.           <td class="paramtype">detail::tmat3x3&lt; valType &gt; const &amp;&#160;</td>
    117. 

  117.           <td class="paramname"><em>m</em></td><td>)</td>
    118. 

  118.           <td></td>
    119. 

  119.         </tr>
    120. 

  120.       </table>
    121. 

  121. </div>
    122. 

  122. <div class="memdoc">
    123. 

  123. 

  124. <p>Return the determinant of a mat3 matrix. </p>
    125. 

  125. <dl><dt><b>Template Parameters:</b></dt><dd>
    126. 

  126.   <table class="">
    127. 

  127.     <tr><td class="paramname">valType</td><td>Floating-point scalar types. </td></tr>
    128. 

  128.   </table>
    129. 

  129.   </dd>
    130. 

  130. </dl>
    131. 

  131. <dl class="see"><dt><b>See also:</b></dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/determinant.xml">GLSL determinant man page</a> </dd>
    132. 

  132. <dd>
    133. 

  133. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.6 Matrix Functions</a> </dd></dl>
    134. 

  134. 

  135. </div>
    136. 

  136. </div>
    137. 

  137. <a class="anchor" id="ga1daa306eecf6e8b379626d761b8c222f"></a><!-- doxytag: member="glm::determinant" ref="ga1daa306eecf6e8b379626d761b8c222f" args="(detail::tmat4x4&lt; valType &gt; const &amp;m)" -->
    138. 

  138. <div class="memitem">
    139. 

  139. <div class="memproto">
    140. 

  140.       <table class="memname">
    141. 

  141.         <tr>
    142. 

  142.           <td class="memname">detail::tmat4x4&lt;valType&gt;::value_type glm::determinant </td>
    143. 

  143.           <td>(</td>
    144. 

  144.           <td class="paramtype">detail::tmat4x4&lt; valType &gt; const &amp;&#160;</td>
    145. 

  145.           <td class="paramname"><em>m</em></td><td>)</td>
    146. 

  146.           <td></td>
    147. 

  147.         </tr>
    148. 

  148.       </table>
    149. 

  149. </div>
    150. 

  150. <div class="memdoc">
    151. 

  151. 

  152. <p>Return the determinant of a mat4 matrix. </p>
    153. 

  153. <dl><dt><b>Template Parameters:</b></dt><dd>
    154. 

  154.   <table class="">
    155. 

  155.     <tr><td class="paramname">valType</td><td>Floating-point scalar types. </td></tr>
    156. 

  156.   </table>
    157. 

  157.   </dd>
    158. 

  158. </dl>
    159. 

  159. <dl class="see"><dt><b>See also:</b></dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/determinant.xml">GLSL determinant man page</a> </dd>
    160. 

  160. <dd>
    161. 

  161. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.6 Matrix Functions</a> </dd></dl>
    162. 

  162. 

  163. </div>
    164. 

  164. </div>
    165. 

  165. <a class="anchor" id="gada3384a86cf38a1fd96275194b8ba8c0"></a><!-- doxytag: member="glm::inverse" ref="gada3384a86cf38a1fd96275194b8ba8c0" args="(detail::tmat2x2&lt; valType &gt; const &amp;m)" -->
    166. 

  166. <div class="memitem">
    167. 

  167. <div class="memproto">
    168. 

  168.       <table class="memname">
    169. 

  169.         <tr>
    170. 

  170.           <td class="memname">detail::tmat2x2&lt;valType&gt; glm::inverse </td>
    171. 

  171.           <td>(</td>
    172. 

  172.           <td class="paramtype">detail::tmat2x2&lt; valType &gt; const &amp;&#160;</td>
    173. 

  173.           <td class="paramname"><em>m</em></td><td>)</td>
    174. 

  174.           <td></td>
    175. 

  175.         </tr>
    176. 

  176.       </table>
    177. 

  177. </div>
    178. 

  178. <div class="memdoc">
    179. 

  179. 

  180. <p>Return the inverse of a mat2 matrix. </p>
    181. 

  181. <dl><dt><b>Template Parameters:</b></dt><dd>
    182. 

  182.   <table class="">
    183. 

  183.     <tr><td class="paramname">valType</td><td>Floating-point scalar types. </td></tr>
    184. 

  184.   </table>
    185. 

  185.   </dd>
    186. 

  186. </dl>
    187. 

  187. <dl class="see"><dt><b>See also:</b></dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/inverse.xml">GLSL inverse man page</a> </dd>
    188. 

  188. <dd>
    189. 

  189. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.6 Matrix Functions</a> </dd></dl>
    190. 

  190. 

  191. </div>
    192. 

  192. </div>
    193. 

  193. <a class="anchor" id="ga1a455651f7ba323ade0cd9191542b179"></a><!-- doxytag: member="glm::inverse" ref="ga1a455651f7ba323ade0cd9191542b179" args="(detail::tmat3x3&lt; valType &gt; const &amp;m)" -->
    194. 

  194. <div class="memitem">
    195. 

  195. <div class="memproto">
    196. 

  196.       <table class="memname">
    197. 

  197.         <tr>
    198. 

  198.           <td class="memname">detail::tmat3x3&lt;valType&gt; glm::inverse </td>
    199. 

  199.           <td>(</td>
    200. 

  200.           <td class="paramtype">detail::tmat3x3&lt; valType &gt; const &amp;&#160;</td>
    201. 

  201.           <td class="paramname"><em>m</em></td><td>)</td>
    202. 

  202.           <td></td>
    203. 

  203.         </tr>
    204. 

  204.       </table>
    205. 

  205. </div>
    206. 

  206. <div class="memdoc">
    207. 

  207. 

  208. <p>Return the inverse of a mat3 matrix. </p>
    209. 

  209. <dl><dt><b>Template Parameters:</b></dt><dd>
    210. 

  210.   <table class="">
    211. 

  211.     <tr><td class="paramname">valType</td><td>Floating-point scalar types. </td></tr>
    212. 

  212.   </table>
    213. 

  213.   </dd>
    214. 

  214. </dl>
    215. 

  215. <dl class="see"><dt><b>See also:</b></dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/inverse.xml">GLSL inverse man page</a> </dd>
    216. 

  216. <dd>
    217. 

  217. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.6 Matrix Functions</a> </dd></dl>
    218. 

  218. 

  219. </div>
    220. 

  220. </div>
    221. 

  221. <a class="anchor" id="gabc94b29dea14e111e48bc963c47559b2"></a><!-- doxytag: member="glm::inverse" ref="gabc94b29dea14e111e48bc963c47559b2" args="(detail::tmat4x4&lt; valType &gt; const &amp;m)" -->
    222. 

  222. <div class="memitem">
    223. 

  223. <div class="memproto">
    224. 

  224.       <table class="memname">
    225. 

  225.         <tr>
    226. 

  226.           <td class="memname">detail::tmat4x4&lt;valType&gt; glm::inverse </td>
    227. 

  227.           <td>(</td>
    228. 

  228.           <td class="paramtype">detail::tmat4x4&lt; valType &gt; const &amp;&#160;</td>
    229. 

  229.           <td class="paramname"><em>m</em></td><td>)</td>
    230. 

  230.           <td></td>
    231. 

  231.         </tr>
    232. 

  232.       </table>
    233. 

  233. </div>
    234. 

  234. <div class="memdoc">
    235. 

  235. 

  236. <p>Return the inverse of a mat4 matrix. </p>
    237. 

  237. <dl><dt><b>Template Parameters:</b></dt><dd>
    238. 

  238.   <table class="">
    239. 

  239.     <tr><td class="paramname">valType</td><td>Floating-point scalar types. </td></tr>
    240. 

  240.   </table>
    241. 

  241.   </dd>
    242. 

  242. </dl>
    243. 

  243. <dl class="see"><dt><b>See also:</b></dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/inverse.xml">GLSL inverse man page</a> </dd>
    244. 

  244. <dd>
    245. 

  245. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.6 Matrix Functions</a> </dd></dl>
    246. 

  246. 

  247. </div>
    248. 

  248. </div>
    249. 

  249. <a class="anchor" id="ga0e48491a51b3f366d671c01894705605"></a><!-- doxytag: member="glm::matrixCompMult" ref="ga0e48491a51b3f366d671c01894705605" args="(matType const &amp;x, matType const &amp;y)" -->
    250. 

  250. <div class="memitem">
    251. 

  251. <div class="memproto">
    252. 

  252.       <table class="memname">
    253. 

  253.         <tr>
    254. 

  254.           <td class="memname">matType glm::matrixCompMult </td>
    255. 

  255.           <td>(</td>
    256. 

  256.           <td class="paramtype">matType const &amp;&#160;</td>
    257. 

  257.           <td class="paramname"><em>x</em>, </td>
    258. 

  258.         </tr>
    259. 

  259.         <tr>
    260. 

  260.           <td class="paramkey"></td>
    261. 

  261.           <td></td>
    262. 

  262.           <td class="paramtype">matType const &amp;&#160;</td>
    263. 

  263.           <td class="paramname"><em>y</em>&#160;</td>
    264. 

  264.         </tr>
    265. 

  265.         <tr>
    266. 

  266.           <td></td>
    267. 

  267.           <td>)</td>
    268. 

  268.           <td></td><td></td>
    269. 

  269.         </tr>
    270. 

  270.       </table>
    271. 

  271. </div>
    272. 

  272. <div class="memdoc">
    273. 

  273. 

  274. <p>Multiply matrix x by matrix y component-wise, i.e., result[i][j] is the scalar product of x[i][j] and y[i][j]. </p>
    275. 

  275. <dl><dt><b>Template Parameters:</b></dt><dd>
    276. 

  276.   <table class="">
    277. 

  277.     <tr><td class="paramname">matType</td><td>Floating-point matrix types. </td></tr>
    278. 

  278.   </table>
    279. 

  279.   </dd>
    280. 

  280. </dl>
    281. 

  281. <dl class="see"><dt><b>See also:</b></dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/matrixCompMult.xml">GLSL matrixCompMult man page</a> </dd>
    282. 

  282. <dd>
    283. 

  283. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.6 Matrix Functions</a> </dd></dl>
    284. 

  284. 

  285. </div>
    286. 

  286. </div>
    287. 

  287. <a class="anchor" id="ga5d896e8651512fc098a677dbe403eeac"></a><!-- doxytag: member="glm::outerProduct" ref="ga5d896e8651512fc098a677dbe403eeac" args="(vecType const &amp;c, vecType const &amp;r)" -->
    288. 

  288. <div class="memitem">
    289. 

  289. <div class="memproto">
    290. 

  290.       <table class="memname">
    291. 

  291.         <tr>
    292. 

  292.           <td class="memname">matType glm::outerProduct </td>
    293. 

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

  294.           <td class="paramtype">vecType const &amp;&#160;</td>
    295. 

  295.           <td class="paramname"><em>c</em>, </td>
    296. 

  296.         </tr>
    297. 

  297.         <tr>
    298. 

  298.           <td class="paramkey"></td>
    299. 

  299.           <td></td>
    300. 

  300.           <td class="paramtype">vecType const &amp;&#160;</td>
    301. 

  301.           <td class="paramname"><em>r</em>&#160;</td>
    302. 

  302.         </tr>
    303. 

  303.         <tr>
    304. 

  304.           <td></td>
    305. 

  305.           <td>)</td>
    306. 

  306.           <td></td><td></td>
    307. 

  307.         </tr>
    308. 

  308.       </table>
    309. 

  309. </div>
    310. 

  310. <div class="memdoc">
    311. 

  311. 

  312. <p>Treats the first parameter c as a column vector and the second parameter r as a row vector and does a linear algebraic matrix multiply c * r. </p>
    313. 

  313. <dl><dt><b>Template Parameters:</b></dt><dd>
    314. 

  314.   <table class="">
    315. 

  315.     <tr><td class="paramname">matType</td><td>Floating-point matrix types. </td></tr>
    316. 

  316.   </table>
    317. 

  317.   </dd>
    318. 

  318. </dl>
    319. 

  319. <dl class="see"><dt><b>See also:</b></dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/outerProduct.xml">GLSL outerProduct man page</a> </dd>
    320. 

  320. <dd>
    321. 

  321. <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.6 Matrix Functions</a> </dd></dl>
    322. 

  322. <dl class="todo"><dt><b><a class="el" href="a00215.html#_todo000006">Todo:</a></b></dt><dd>Clarify the declaration to specify that matType doesn't have to be provided when used.</dd></dl>
    323. 

  323. 

  324. </div>
    325. 

  325. </div>
    326. 

  326. <a class="anchor" id="gac58a4106a57fb7da41b3aeae3832998b"></a><!-- doxytag: member="glm::transpose" ref="gac58a4106a57fb7da41b3aeae3832998b" args="(matType const &amp;x)" -->
    327. 

  327. <div class="memitem">
    328. 

  328. <div class="memproto">
    329. 

  329.       <table class="memname">
    330. 

  330.         <tr>
    331. 

  331.           <td class="memname">matType::transpose_type glm::transpose </td>
    332. 

  332.           <td>(</td>
    333. 

  333.           <td class="paramtype">matType const &amp;&#160;</td>
    334. 

  334.           <td class="paramname"><em>x</em></td><td>)</td>
    335. 

  335.           <td></td>
    336. 

  336.         </tr>
    337. 

  337.       </table>
    338. 

  338. </div>
    339. 

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

  340. 

  341. <p>Returns the transposed matrix of x. </p>
    342. 

  342. <dl><dt><b>Template Parameters:</b></dt><dd>
    343. 

  343.   <table class="">
    344. 

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

  345.   </table>
    346. 

  346.   </dd>
    347. 

  347. </dl>
    348. 

  348. <dl class="see"><dt><b>See also:</b></dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/transpose.xml">GLSL transpose 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 8.6 Matrix Functions</a> </dd></dl>
    351. 

  351. 

  352. </div>
    353. 

  353. </div>
    354. 

  354. </div>
    355. 

  355. 

  356. 

  357. <hr class="footer"/><address class="footer"><small>
    358. 

  358. Generated by &#160;<a href="http://www.doxygen.org/index.html">
    359. 

  359. <img class="footer" src="doxygen.png" alt="doxygen"/>
    360. 

  360. </a> 1.7.5.1
    361. 

  361. </small></address>
    362. 

  362. 

  363. </body>
    364. 

  364. </html>
    365.