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  36. <a href="#func-members">Functions</a>  </div>
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  37.   <div class="headertitle">
    38. 

  38. <div class="title">Matrix functions</div>  </div>
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  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>
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  44. <tr class="memitem:gad3bfb2098e1572d2131a261c1fb76dd4"><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
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  45. <tr class="memitem:gad3bfb2098e1572d2131a261c1fb76dd4"><td class="memTemplItemLeft" align="right" valign="top">detail::tmat2x2&lt; valType &gt;<br class="typebreak"/>
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  46. ::value_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00133.html#gad3bfb2098e1572d2131a261c1fb76dd4">determinant</a> (detail::tmat2x2&lt; valType &gt; const &amp;m)</td></tr>
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  49. <tr class="memitem:ga2f26bb474e077cf03b9db23f813e8450"><td class="memTemplItemLeft" align="right" valign="top">detail::tmat3x3&lt; valType &gt;<br class="typebreak"/>
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  50. ::value_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00133.html#ga2f26bb474e077cf03b9db23f813e8450">determinant</a> (detail::tmat3x3&lt; valType &gt; const &amp;m)</td></tr>
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  52. <tr class="memitem:ga1daa306eecf6e8b379626d761b8c222f"><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
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  53. <tr class="memitem:ga1daa306eecf6e8b379626d761b8c222f"><td class="memTemplItemLeft" align="right" valign="top">detail::tmat4x4&lt; valType &gt;<br class="typebreak"/>
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  54. ::value_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00133.html#ga1daa306eecf6e8b379626d761b8c222f">determinant</a> (detail::tmat4x4&lt; valType &gt; const &amp;m)</td></tr>
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  56. <tr class="memitem:gada3384a86cf38a1fd96275194b8ba8c0"><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
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  57. <tr class="memitem:gada3384a86cf38a1fd96275194b8ba8c0"><td class="memTemplItemLeft" align="right" valign="top">detail::tmat2x2&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00133.html#gada3384a86cf38a1fd96275194b8ba8c0">inverse</a> (detail::tmat2x2&lt; valType &gt; const &amp;m)</td></tr>
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  59. <tr class="memitem:ga1a455651f7ba323ade0cd9191542b179"><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
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  60. <tr class="memitem:ga1a455651f7ba323ade0cd9191542b179"><td class="memTemplItemLeft" align="right" valign="top">detail::tmat3x3&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00133.html#ga1a455651f7ba323ade0cd9191542b179">inverse</a> (detail::tmat3x3&lt; valType &gt; const &amp;m)</td></tr>
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  62. <tr class="memitem:gabc94b29dea14e111e48bc963c47559b2"><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
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  63. <tr class="memitem:gabc94b29dea14e111e48bc963c47559b2"><td class="memTemplItemLeft" align="right" valign="top">detail::tmat4x4&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00133.html#gabc94b29dea14e111e48bc963c47559b2">inverse</a> (detail::tmat4x4&lt; valType &gt; const &amp;m)</td></tr>
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  64. <tr class="separator:gabc94b29dea14e111e48bc963c47559b2"><td class="memSeparator" colspan="2">&#160;</td></tr>
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  65. <tr class="memitem:ga0e48491a51b3f366d671c01894705605"><td class="memTemplParams" colspan="2">template&lt;typename matType &gt; </td></tr>
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  66. <tr class="memitem:ga0e48491a51b3f366d671c01894705605"><td class="memTemplItemLeft" align="right" valign="top">matType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00133.html#ga0e48491a51b3f366d671c01894705605">matrixCompMult</a> (matType const &amp;x, matType const &amp;y)</td></tr>
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  68. <tr class="memitem:ga5d896e8651512fc098a677dbe403eeac"><td class="memTemplParams" colspan="2">template&lt;typename vecType , typename matType &gt; </td></tr>
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  69. <tr class="memitem:ga5d896e8651512fc098a677dbe403eeac"><td class="memTemplItemLeft" align="right" valign="top">matType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00133.html#ga5d896e8651512fc098a677dbe403eeac">outerProduct</a> (vecType const &amp;c, vecType const &amp;r)</td></tr>
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  70. <tr class="separator:ga5d896e8651512fc098a677dbe403eeac"><td class="memSeparator" colspan="2">&#160;</td></tr>
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  71. <tr class="memitem:gac58a4106a57fb7da41b3aeae3832998b"><td class="memTemplParams" colspan="2">template&lt;typename matType &gt; </td></tr>
    72. 

  72. <tr class="memitem:gac58a4106a57fb7da41b3aeae3832998b"><td class="memTemplItemLeft" align="right" valign="top">matType::transpose_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00133.html#gac58a4106a57fb7da41b3aeae3832998b">transpose</a> (matType const &amp;x)</td></tr>
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  74. </table>
    75. 

  75. <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
    76. 

  76. <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>
    77. 

  77. <p>Only the single-precision floating point version is shown. </p>
    78. 

  78. <h2 class="groupheader">Function Documentation</h2>
    79. 

  79. <a class="anchor" id="gad3bfb2098e1572d2131a261c1fb76dd4"></a>
    80. 

  80. <div class="memitem">
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  81. <div class="memproto">
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  82.       <table class="memname">
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  83.         <tr>
    84. 

  84.           <td class="memname">detail::tmat2x2&lt;valType&gt;::value_type glm::determinant </td>
    85. 

  85.           <td>(</td>
    86. 

  86.           <td class="paramtype">detail::tmat2x2&lt; valType &gt; const &amp;&#160;</td>
    87. 

  87.           <td class="paramname"><em>m</em></td><td>)</td>
    88. 

  88.           <td></td>
    89. 

  89.         </tr>
    90. 

  90.       </table>
    91. 

  91. </div><div class="memdoc">
    92. 

  92. 

  93. <p>Return the determinant of a mat2 matrix. </p>
    94. 

  94. <dl class="tparams"><dt>Template Parameters</dt><dd>
    95. 

  95.   <table class="tparams">
    96. 

  96.     <tr><td class="paramname">valType</td><td>Floating-point scalar types.</td></tr>
    97. 

  97.   </table>
    98. 

  98.   </dd>
    99. 

  99. </dl>
    100. 

  100. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/determinant.xml">GLSL determinant man page</a> </dd>
    101. 

  101. <dd>
    102. 

  102. <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>
    103. 

  103. 

  104. </div>
    105. 

  105. </div>
    106. 

  106. <a class="anchor" id="ga2f26bb474e077cf03b9db23f813e8450"></a>
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  107. <div class="memitem">
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  108. <div class="memproto">
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  109.       <table class="memname">
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  110.         <tr>
    111. 

  111.           <td class="memname">detail::tmat3x3&lt;valType&gt;::value_type glm::determinant </td>
    112. 

  112.           <td>(</td>
    113. 

  113.           <td class="paramtype">detail::tmat3x3&lt; valType &gt; const &amp;&#160;</td>
    114. 

  114.           <td class="paramname"><em>m</em></td><td>)</td>
    115. 

  115.           <td></td>
    116. 

  116.         </tr>
    117. 

  117.       </table>
    118. 

  118. </div><div class="memdoc">
    119. 

  119. 

  120. <p>Return the determinant of a mat3 matrix. </p>
    121. 

  121. <dl class="tparams"><dt>Template Parameters</dt><dd>
    122. 

  122.   <table class="tparams">
    123. 

  123.     <tr><td class="paramname">valType</td><td>Floating-point scalar types.</td></tr>
    124. 

  124.   </table>
    125. 

  125.   </dd>
    126. 

  126. </dl>
    127. 

  127. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/determinant.xml">GLSL determinant man page</a> </dd>
    128. 

  128. <dd>
    129. 

  129. <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>
    130. 

  130. 

  131. </div>
    132. 

  132. </div>
    133. 

  133. <a class="anchor" id="ga1daa306eecf6e8b379626d761b8c222f"></a>
    134. 

  134. <div class="memitem">
    135. 

  135. <div class="memproto">
    136. 

  136.       <table class="memname">
    137. 

  137.         <tr>
    138. 

  138.           <td class="memname">detail::tmat4x4&lt;valType&gt;::value_type glm::determinant </td>
    139. 

  139.           <td>(</td>
    140. 

  140.           <td class="paramtype">detail::tmat4x4&lt; valType &gt; const &amp;&#160;</td>
    141. 

  141.           <td class="paramname"><em>m</em></td><td>)</td>
    142. 

  142.           <td></td>
    143. 

  143.         </tr>
    144. 

  144.       </table>
    145. 

  145. </div><div class="memdoc">
    146. 

  146. 

  147. <p>Return the determinant of a mat4 matrix. </p>
    148. 

  148. <dl class="tparams"><dt>Template Parameters</dt><dd>
    149. 

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

  150.     <tr><td class="paramname">valType</td><td>Floating-point scalar types.</td></tr>
    151. 

  151.   </table>
    152. 

  152.   </dd>
    153. 

  153. </dl>
    154. 

  154. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/determinant.xml">GLSL determinant man page</a> </dd>
    155. 

  155. <dd>
    156. 

  156. <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>
    157. 

  157. 

  158. </div>
    159. 

  159. </div>
    160. 

  160. <a class="anchor" id="gada3384a86cf38a1fd96275194b8ba8c0"></a>
    161. 

  161. <div class="memitem">
    162. 

  162. <div class="memproto">
    163. 

  163.       <table class="memname">
    164. 

  164.         <tr>
    165. 

  165.           <td class="memname">detail::tmat2x2&lt;valType&gt; glm::inverse </td>
    166. 

  166.           <td>(</td>
    167. 

  167.           <td class="paramtype">detail::tmat2x2&lt; valType &gt; const &amp;&#160;</td>
    168. 

  168.           <td class="paramname"><em>m</em></td><td>)</td>
    169. 

  169.           <td></td>
    170. 

  170.         </tr>
    171. 

  171.       </table>
    172. 

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

  173. 

  174. <p>Return the inverse of a mat2 matrix. </p>
    175. 

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

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

  177.     <tr><td class="paramname">valType</td><td>Floating-point scalar 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/inverse.xml">GLSL inverse 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 8.6 Matrix Functions</a> </dd></dl>
    184. 

  184. 

  185. </div>
    186. 

  186. </div>
    187. 

  187. <a class="anchor" id="ga1a455651f7ba323ade0cd9191542b179"></a>
    188. 

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

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

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

  191.         <tr>
    192. 

  192.           <td class="memname">detail::tmat3x3&lt;valType&gt; glm::inverse </td>
    193. 

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

  194.           <td class="paramtype">detail::tmat3x3&lt; valType &gt; const &amp;&#160;</td>
    195. 

  195.           <td class="paramname"><em>m</em></td><td>)</td>
    196. 

  196.           <td></td>
    197. 

  197.         </tr>
    198. 

  198.       </table>
    199. 

  199. </div><div class="memdoc">
    200. 

  200. 

  201. <p>Return the inverse of a mat3 matrix. </p>
    202. 

  202. <dl class="tparams"><dt>Template Parameters</dt><dd>
    203. 

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

  204.     <tr><td class="paramname">valType</td><td>Floating-point scalar types.</td></tr>
    205. 

  205.   </table>
    206. 

  206.   </dd>
    207. 

  207. </dl>
    208. 

  208. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/inverse.xml">GLSL inverse man page</a> </dd>
    209. 

  209. <dd>
    210. 

  210. <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>
    211. 

  211. 

  212. </div>
    213. 

  213. </div>
    214. 

  214. <a class="anchor" id="gabc94b29dea14e111e48bc963c47559b2"></a>
    215. 

  215. <div class="memitem">
    216. 

  216. <div class="memproto">
    217. 

  217.       <table class="memname">
    218. 

  218.         <tr>
    219. 

  219.           <td class="memname">detail::tmat4x4&lt;valType&gt; glm::inverse </td>
    220. 

  220.           <td>(</td>
    221. 

  221.           <td class="paramtype">detail::tmat4x4&lt; valType &gt; const &amp;&#160;</td>
    222. 

  222.           <td class="paramname"><em>m</em></td><td>)</td>
    223. 

  223.           <td></td>
    224. 

  224.         </tr>
    225. 

  225.       </table>
    226. 

  226. </div><div class="memdoc">
    227. 

  227. 

  228. <p>Return the inverse of a mat4 matrix. </p>
    229. 

  229. <dl class="tparams"><dt>Template Parameters</dt><dd>
    230. 

  230.   <table class="tparams">
    231. 

  231.     <tr><td class="paramname">valType</td><td>Floating-point scalar types.</td></tr>
    232. 

  232.   </table>
    233. 

  233.   </dd>
    234. 

  234. </dl>
    235. 

  235. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/inverse.xml">GLSL inverse man page</a> </dd>
    236. 

  236. <dd>
    237. 

  237. <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>
    238. 

  238. 

  239. </div>
    240. 

  240. </div>
    241. 

  241. <a class="anchor" id="ga0e48491a51b3f366d671c01894705605"></a>
    242. 

  242. <div class="memitem">
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  243. <div class="memproto">
    244. 

  244.       <table class="memname">
    245. 

  245.         <tr>
    246. 

  246.           <td class="memname">matType glm::matrixCompMult </td>
    247. 

  247.           <td>(</td>
    248. 

  248.           <td class="paramtype">matType const &amp;&#160;</td>
    249. 

  249.           <td class="paramname"><em>x</em>, </td>
    250. 

  250.         </tr>
    251. 

  251.         <tr>
    252. 

  252.           <td class="paramkey"></td>
    253. 

  253.           <td></td>
    254. 

  254.           <td class="paramtype">matType const &amp;&#160;</td>
    255. 

  255.           <td class="paramname"><em>y</em>&#160;</td>
    256. 

  256.         </tr>
    257. 

  257.         <tr>
    258. 

  258.           <td></td>
    259. 

  259.           <td>)</td>
    260. 

  260.           <td></td><td></td>
    261. 

  261.         </tr>
    262. 

  262.       </table>
    263. 

  263. </div><div class="memdoc">
    264. 

  264. 

  265. <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>
    266. 

  266. <dl class="tparams"><dt>Template Parameters</dt><dd>
    267. 

  267.   <table class="tparams">
    268. 

  268.     <tr><td class="paramname">matType</td><td>Floating-point matrix types.</td></tr>
    269. 

  269.   </table>
    270. 

  270.   </dd>
    271. 

  271. </dl>
    272. 

  272. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/matrixCompMult.xml">GLSL matrixCompMult man page</a> </dd>
    273. 

  273. <dd>
    274. 

  274. <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>
    275. 

  275. 

  276. </div>
    277. 

  277. </div>
    278. 

  278. <a class="anchor" id="ga5d896e8651512fc098a677dbe403eeac"></a>
    279. 

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

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

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

  282.         <tr>
    283. 

  283.           <td class="memname">matType glm::outerProduct </td>
    284. 

  284.           <td>(</td>
    285. 

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

  286.           <td class="paramname"><em>c</em>, </td>
    287. 

  287.         </tr>
    288. 

  288.         <tr>
    289. 

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

  290.           <td></td>
    291. 

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

  292.           <td class="paramname"><em>r</em>&#160;</td>
    293. 

  293.         </tr>
    294. 

  294.         <tr>
    295. 

  295.           <td></td>
    296. 

  296.           <td>)</td>
    297. 

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

  298.         </tr>
    299. 

  299.       </table>
    300. 

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

  301. 

  302. <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>
    303. 

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

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

  305.     <tr><td class="paramname">matType</td><td>Floating-point matrix types.</td></tr>
    306. 

  306.   </table>
    307. 

  307.   </dd>
    308. 

  308. </dl>
    309. 

  309. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/outerProduct.xml">GLSL outerProduct man page</a> </dd>
    310. 

  310. <dd>
    311. 

  311. <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>
    312. 

  312. <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>
    313. 

  313. 

  314. </div>
    315. 

  315. </div>
    316. 

  316. <a class="anchor" id="gac58a4106a57fb7da41b3aeae3832998b"></a>
    317. 

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

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

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

  320.         <tr>
    321. 

  321.           <td class="memname">matType::transpose_type glm::transpose </td>
    322. 

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

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

  324.           <td class="paramname"><em>x</em></td><td>)</td>
    325. 

  325.           <td></td>
    326. 

  326.         </tr>
    327. 

  327.       </table>
    328. 

  328. </div><div class="memdoc">
    329. 

  329. 

  330. <p>Returns the transposed matrix of x. </p>
    331. 

  331. <dl class="tparams"><dt>Template Parameters</dt><dd>
    332. 

  332.   <table class="tparams">
    333. 

  333.     <tr><td class="paramname">matType</td><td>Floating-point matrix types.</td></tr>
    334. 

  334.   </table>
    335. 

  335.   </dd>
    336. 

  336. </dl>
    337. 

  337. <dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/transpose.xml">GLSL transpose man page</a> </dd>
    338. 

  338. <dd>
    339. 

  339. <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>
    340. 

  340. 

  341. </div>
    342. 

  342. </div>
    343. 

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    344. 

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    345. 

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    346. 

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    347. 

  347. <img class="footer" src="doxygen.png" alt="doxygen"/>
    348. 

  348. </a> 1.8.2
    349. 

  349. </small></address>
    350. 

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    352.