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  5. <title>GLM_GTC_matrix_transform: Matrix transform functions.</title>
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    31. 

  31. <div class="header">
    32. 

  32.   <div class="summary">
    33. 

  33. <a href="#func-members">Functions</a>  </div>
    34. 

  34.   <div class="headertitle">
    35. 

  35. <div class="title">GLM_GTC_matrix_transform: Matrix transform functions.</div>  </div>
    36. 

  36. <div class="ingroups"><a class="el" href="a00239.html">GTC Extensions (Stable)</a></div></div>
    37. 

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

  38. 

  39. <p>Defines functions that generate common transformation matrices.  
    40. 

  40. <a href="#details">More...</a></p>
    41. 

  41. <table class="memberdecls">
    42. 

  42. <tr><td colspan="2"><h2><a name="func-members"></a>
    43. 

  43. Functions</h2></td></tr>
    44. 

  44. <tr><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
    45. 

  45. <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat4x4&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00244.html#ga517623bf6344a9e276b877366143116a">frustum</a> (T const &amp;left, T const &amp;right, T const &amp;bottom, T const &amp;top, T const &amp;nearVal, T const &amp;farVal)</td></tr>
    46. 

  46. <tr><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
    47. 

  47. <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat4x4&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00244.html#gab8bb0d61dfe8a35df79ee3ccc6dd9afe">infinitePerspective</a> (T fovy, T aspect, T zNear)</td></tr>
    48. 

  48. <tr><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
    49. 

  49. <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat4x4&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00244.html#ga2d6b6c381f047ea4d9ca4145fed9edd5">lookAt</a> (detail::tvec3&lt; T &gt; const &amp;eye, detail::tvec3&lt; T &gt; const &amp;center, detail::tvec3&lt; T &gt; const &amp;up)</td></tr>
    50. 

  50. <tr><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
    51. 

  51. <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat4x4&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00244.html#ga71777a3b1d4fe1729cccf6eda05c8127">ortho</a> (T const &amp;left, T const &amp;right, T const &amp;bottom, T const &amp;top)</td></tr>
    52. 

  52. <tr><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
    53. 

  53. <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat4x4&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00244.html#gad25e5b029ebefac5b657861378c17aa8">ortho</a> (T const &amp;left, T const &amp;right, T const &amp;bottom, T const &amp;top, T const &amp;zNear, T const &amp;zFar)</td></tr>
    54. 

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

  55. <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat4x4&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00244.html#ga1bb3652e43f824d8c1dd5b9e60c80437">perspective</a> (T const &amp;fovy, T const &amp;aspect, T const &amp;zNear, T const &amp;zFar)</td></tr>
    56. 

  56. <tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
    57. 

  57. <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat4x4&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00244.html#ga2d4fab691ace1abbffb3cdd4cc2316e9">perspectiveFov</a> (valType const &amp;fov, valType const &amp;width, valType const &amp;height, valType const &amp;zNear, valType const &amp;zFar)</td></tr>
    58. 

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

  59. <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat4x4&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00244.html#ga9ebc45c333c8ec63c5047d6c1fcb9415">pickMatrix</a> (detail::tvec2&lt; T &gt; const &amp;center, detail::tvec2&lt; T &gt; const &amp;delta, detail::tvec4&lt; U &gt; const &amp;viewport)</td></tr>
    60. 

  60. <tr><td class="memTemplParams" colspan="2">template&lt;typename T , typename U &gt; </td></tr>
    61. 

  61. <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tvec3&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00244.html#ga30e98d64189bae49582de8373de9f09f">project</a> (detail::tvec3&lt; T &gt; const &amp;obj, detail::tmat4x4&lt; T &gt; const &amp;model, detail::tmat4x4&lt; T &gt; const &amp;proj, detail::tvec4&lt; U &gt; const &amp;viewport)</td></tr>
    62. 

  62. <tr><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
    63. 

  63. <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat4x4&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00244.html#ga48168ff70412019857ceb28b3b2b1f5e">rotate</a> (detail::tmat4x4&lt; T &gt; const &amp;m, T const &amp;angle, detail::tvec3&lt; T &gt; const &amp;v)</td></tr>
    64. 

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

  65. <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat4x4&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00244.html#ga6da77ee2c33d0d33de557a37ff35b197">scale</a> (detail::tmat4x4&lt; T &gt; const &amp;m, detail::tvec3&lt; T &gt; const &amp;v)</td></tr>
    66. 

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

  67. <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat4x4&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00244.html#ga4683c446c8432476750ade56f2537397">translate</a> (detail::tmat4x4&lt; T &gt; const &amp;m, detail::tvec3&lt; T &gt; const &amp;v)</td></tr>
    68. 

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

  69. <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat4x4&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00244.html#gac257959595078f003d6a0e4be6f9a2eb">tweakedInfinitePerspective</a> (T fovy, T aspect, T zNear)</td></tr>
    70. 

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

  71. <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tvec3&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00244.html#gac38d611231b15799a0c06c54ff1ede43">unProject</a> (detail::tvec3&lt; T &gt; const &amp;win, detail::tmat4x4&lt; T &gt; const &amp;model, detail::tmat4x4&lt; T &gt; const &amp;proj, detail::tvec4&lt; U &gt; const &amp;viewport)</td></tr>
    72. 

  72. </table>
    73. 

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

  74. <p>Defines functions that generate common transformation matrices. </p>
    75. 

  75. <p>The matrices generated by this extension use standard OpenGL fixed-function conventions. For example, the lookAt function generates a transform from world space into the specific eye space that the projective matrix functions ( perspective, ortho, etc) are designed to expect. The OpenGL compatibility specifications defines the particular layout of this eye space.</p>
    76. 

  76. <p>&lt;<a class="el" href="a00079_source.html">glm/gtc/matrix_transform.hpp</a>&gt; need to be included to use these functionalities. </p>
    77. 

  77. <hr/><h2>Function Documentation</h2>
    78. 

  78. <a class="anchor" id="ga517623bf6344a9e276b877366143116a"></a><!-- doxytag: member="glm::gtc::matrix_transform::frustum" ref="ga517623bf6344a9e276b877366143116a" args="(T const &amp;left, T const &amp;right, T const &amp;bottom, T const &amp;top, T const &amp;nearVal, T const &amp;farVal)" -->
    79. 

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

  80. <div class="memproto">
    81. 

  81.       <table class="memname">
    82. 

  82.         <tr>
    83. 

  83.           <td class="memname">detail::tmat4x4&lt;T&gt; glm::gtc::matrix_transform::frustum </td>
    84. 

  84.           <td>(</td>
    85. 

  85.           <td class="paramtype">T const &amp;&#160;</td>
    86. 

  86.           <td class="paramname"><em>left</em>, </td>
    87. 

  87.         </tr>
    88. 

  88.         <tr>
    89. 

  89.           <td class="paramkey"></td>
    90. 

  90.           <td></td>
    91. 

  91.           <td class="paramtype">T const &amp;&#160;</td>
    92. 

  92.           <td class="paramname"><em>right</em>, </td>
    93. 

  93.         </tr>
    94. 

  94.         <tr>
    95. 

  95.           <td class="paramkey"></td>
    96. 

  96.           <td></td>
    97. 

  97.           <td class="paramtype">T const &amp;&#160;</td>
    98. 

  98.           <td class="paramname"><em>bottom</em>, </td>
    99. 

  99.         </tr>
    100. 

  100.         <tr>
    101. 

  101.           <td class="paramkey"></td>
    102. 

  102.           <td></td>
    103. 

  103.           <td class="paramtype">T const &amp;&#160;</td>
    104. 

  104.           <td class="paramname"><em>top</em>, </td>
    105. 

  105.         </tr>
    106. 

  106.         <tr>
    107. 

  107.           <td class="paramkey"></td>
    108. 

  108.           <td></td>
    109. 

  109.           <td class="paramtype">T const &amp;&#160;</td>
    110. 

  110.           <td class="paramname"><em>nearVal</em>, </td>
    111. 

  111.         </tr>
    112. 

  112.         <tr>
    113. 

  113.           <td class="paramkey"></td>
    114. 

  114.           <td></td>
    115. 

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

  116.           <td class="paramname"><em>farVal</em>&#160;</td>
    117. 

  117.         </tr>
    118. 

  118.         <tr>
    119. 

  119.           <td></td>
    120. 

  120.           <td>)</td>
    121. 

  121.           <td></td><td></td>
    122. 

  122.         </tr>
    123. 

  123.       </table>
    124. 

  124. </div>
    125. 

  125. <div class="memdoc">
    126. 

  126. 

  127. <p>Creates a frustum matrix. </p>
    128. 

  128. <p>From GLM_GTC_matrix_transform extension. </p>
    129. 

  129. 

  130. </div>
    131. 

  131. </div>
    132. 

  132. <a class="anchor" id="gab8bb0d61dfe8a35df79ee3ccc6dd9afe"></a><!-- doxytag: member="glm::gtc::matrix_transform::infinitePerspective" ref="gab8bb0d61dfe8a35df79ee3ccc6dd9afe" args="(T fovy, T aspect, T zNear)" -->
    133. 

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

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

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

  136.         <tr>
    137. 

  137.           <td class="memname">detail::tmat4x4&lt;T&gt; glm::gtc::matrix_transform::infinitePerspective </td>
    138. 

  138.           <td>(</td>
    139. 

  139.           <td class="paramtype">T&#160;</td>
    140. 

  140.           <td class="paramname"><em>fovy</em>, </td>
    141. 

  141.         </tr>
    142. 

  142.         <tr>
    143. 

  143.           <td class="paramkey"></td>
    144. 

  144.           <td></td>
    145. 

  145.           <td class="paramtype">T&#160;</td>
    146. 

  146.           <td class="paramname"><em>aspect</em>, </td>
    147. 

  147.         </tr>
    148. 

  148.         <tr>
    149. 

  149.           <td class="paramkey"></td>
    150. 

  150.           <td></td>
    151. 

  151.           <td class="paramtype">T&#160;</td>
    152. 

  152.           <td class="paramname"><em>zNear</em>&#160;</td>
    153. 

  153.         </tr>
    154. 

  154.         <tr>
    155. 

  155.           <td></td>
    156. 

  156.           <td>)</td>
    157. 

  157.           <td></td><td></td>
    158. 

  158.         </tr>
    159. 

  159.       </table>
    160. 

  160. </div>
    161. 

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

  162. 

  163. <p>Creates a matrix for a symmetric perspective-view frustum with far plane at infinite . </p>
    164. 

  164. <p>From GLM_GTC_matrix_transform extension. </p>
    165. 

  165. 

  166. </div>
    167. 

  167. </div>
    168. 

  168. <a class="anchor" id="ga2d6b6c381f047ea4d9ca4145fed9edd5"></a><!-- doxytag: member="glm::gtc::matrix_transform::lookAt" ref="ga2d6b6c381f047ea4d9ca4145fed9edd5" args="(detail::tvec3&lt; T &gt; const &amp;eye, detail::tvec3&lt; T &gt; const &amp;center, detail::tvec3&lt; T &gt; const &amp;up)" -->
    169. 

  169. <div class="memitem">
    170. 

  170. <div class="memproto">
    171. 

  171.       <table class="memname">
    172. 

  172.         <tr>
    173. 

  173.           <td class="memname">detail::tmat4x4&lt;T&gt; glm::gtc::matrix_transform::lookAt </td>
    174. 

  174.           <td>(</td>
    175. 

  175.           <td class="paramtype">detail::tvec3&lt; T &gt; const &amp;&#160;</td>
    176. 

  176.           <td class="paramname"><em>eye</em>, </td>
    177. 

  177.         </tr>
    178. 

  178.         <tr>
    179. 

  179.           <td class="paramkey"></td>
    180. 

  180.           <td></td>
    181. 

  181.           <td class="paramtype">detail::tvec3&lt; T &gt; const &amp;&#160;</td>
    182. 

  182.           <td class="paramname"><em>center</em>, </td>
    183. 

  183.         </tr>
    184. 

  184.         <tr>
    185. 

  185.           <td class="paramkey"></td>
    186. 

  186.           <td></td>
    187. 

  187.           <td class="paramtype">detail::tvec3&lt; T &gt; const &amp;&#160;</td>
    188. 

  188.           <td class="paramname"><em>up</em>&#160;</td>
    189. 

  189.         </tr>
    190. 

  190.         <tr>
    191. 

  191.           <td></td>
    192. 

  192.           <td>)</td>
    193. 

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

  194.         </tr>
    195. 

  195.       </table>
    196. 

  196. </div>
    197. 

  197. <div class="memdoc">
    198. 

  198. 

  199. <p>Build a look at view matrix. </p>
    200. 

  200. <p>From GLM_GTC_matrix_transform extension. </p>
    201. 

  201. 

  202. </div>
    203. 

  203. </div>
    204. 

  204. <a class="anchor" id="ga71777a3b1d4fe1729cccf6eda05c8127"></a><!-- doxytag: member="glm::gtc::matrix_transform::ortho" ref="ga71777a3b1d4fe1729cccf6eda05c8127" args="(T const &amp;left, T const &amp;right, T const &amp;bottom, T const &amp;top)" -->
    205. 

  205. <div class="memitem">
    206. 

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

  207.       <table class="memname">
    208. 

  208.         <tr>
    209. 

  209.           <td class="memname">detail::tmat4x4&lt;T&gt; glm::gtc::matrix_transform::ortho </td>
    210. 

  210.           <td>(</td>
    211. 

  211.           <td class="paramtype">T const &amp;&#160;</td>
    212. 

  212.           <td class="paramname"><em>left</em>, </td>
    213. 

  213.         </tr>
    214. 

  214.         <tr>
    215. 

  215.           <td class="paramkey"></td>
    216. 

  216.           <td></td>
    217. 

  217.           <td class="paramtype">T const &amp;&#160;</td>
    218. 

  218.           <td class="paramname"><em>right</em>, </td>
    219. 

  219.         </tr>
    220. 

  220.         <tr>
    221. 

  221.           <td class="paramkey"></td>
    222. 

  222.           <td></td>
    223. 

  223.           <td class="paramtype">T const &amp;&#160;</td>
    224. 

  224.           <td class="paramname"><em>bottom</em>, </td>
    225. 

  225.         </tr>
    226. 

  226.         <tr>
    227. 

  227.           <td class="paramkey"></td>
    228. 

  228.           <td></td>
    229. 

  229.           <td class="paramtype">T const &amp;&#160;</td>
    230. 

  230.           <td class="paramname"><em>top</em>&#160;</td>
    231. 

  231.         </tr>
    232. 

  232.         <tr>
    233. 

  233.           <td></td>
    234. 

  234.           <td>)</td>
    235. 

  235.           <td></td><td></td>
    236. 

  236.         </tr>
    237. 

  237.       </table>
    238. 

  238. </div>
    239. 

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

  240. 

  241. <p>Creates a matrix for projecting two-dimensional coordinates onto the screen. </p>
    242. 

  242. <p>From GLM_GTC_matrix_transform extension. </p>
    243. 

  243. 

  244. </div>
    245. 

  245. </div>
    246. 

  246. <a class="anchor" id="gad25e5b029ebefac5b657861378c17aa8"></a><!-- doxytag: member="glm::gtc::matrix_transform::ortho" ref="gad25e5b029ebefac5b657861378c17aa8" args="(T const &amp;left, T const &amp;right, T const &amp;bottom, T const &amp;top, T const &amp;zNear, T const &amp;zFar)" -->
    247. 

  247. <div class="memitem">
    248. 

  248. <div class="memproto">
    249. 

  249.       <table class="memname">
    250. 

  250.         <tr>
    251. 

  251.           <td class="memname">detail::tmat4x4&lt;T&gt; glm::gtc::matrix_transform::ortho </td>
    252. 

  252.           <td>(</td>
    253. 

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

  254.           <td class="paramname"><em>left</em>, </td>
    255. 

  255.         </tr>
    256. 

  256.         <tr>
    257. 

  257.           <td class="paramkey"></td>
    258. 

  258.           <td></td>
    259. 

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

  260.           <td class="paramname"><em>right</em>, </td>
    261. 

  261.         </tr>
    262. 

  262.         <tr>
    263. 

  263.           <td class="paramkey"></td>
    264. 

  264.           <td></td>
    265. 

  265.           <td class="paramtype">T const &amp;&#160;</td>
    266. 

  266.           <td class="paramname"><em>bottom</em>, </td>
    267. 

  267.         </tr>
    268. 

  268.         <tr>
    269. 

  269.           <td class="paramkey"></td>
    270. 

  270.           <td></td>
    271. 

  271.           <td class="paramtype">T const &amp;&#160;</td>
    272. 

  272.           <td class="paramname"><em>top</em>, </td>
    273. 

  273.         </tr>
    274. 

  274.         <tr>
    275. 

  275.           <td class="paramkey"></td>
    276. 

  276.           <td></td>
    277. 

  277.           <td class="paramtype">T const &amp;&#160;</td>
    278. 

  278.           <td class="paramname"><em>zNear</em>, </td>
    279. 

  279.         </tr>
    280. 

  280.         <tr>
    281. 

  281.           <td class="paramkey"></td>
    282. 

  282.           <td></td>
    283. 

  283.           <td class="paramtype">T const &amp;&#160;</td>
    284. 

  284.           <td class="paramname"><em>zFar</em>&#160;</td>
    285. 

  285.         </tr>
    286. 

  286.         <tr>
    287. 

  287.           <td></td>
    288. 

  288.           <td>)</td>
    289. 

  289.           <td></td><td></td>
    290. 

  290.         </tr>
    291. 

  291.       </table>
    292. 

  292. </div>
    293. 

  293. <div class="memdoc">
    294. 

  294. 

  295. <p>Creates a matrix for an orthographic parallel viewing volume. </p>
    296. 

  296. <p>From GLM_GTC_matrix_transform extension. </p>
    297. 

  297. 

  298. </div>
    299. 

  299. </div>
    300. 

  300. <a class="anchor" id="ga1bb3652e43f824d8c1dd5b9e60c80437"></a><!-- doxytag: member="glm::gtc::matrix_transform::perspective" ref="ga1bb3652e43f824d8c1dd5b9e60c80437" args="(T const &amp;fovy, T const &amp;aspect, T const &amp;zNear, T const &amp;zFar)" -->
    301. 

  301. <div class="memitem">
    302. 

  302. <div class="memproto">
    303. 

  303.       <table class="memname">
    304. 

  304.         <tr>
    305. 

  305.           <td class="memname">detail::tmat4x4&lt;T&gt; glm::gtc::matrix_transform::perspective </td>
    306. 

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

  307.           <td class="paramtype">T const &amp;&#160;</td>
    308. 

  308.           <td class="paramname"><em>fovy</em>, </td>
    309. 

  309.         </tr>
    310. 

  310.         <tr>
    311. 

  311.           <td class="paramkey"></td>
    312. 

  312.           <td></td>
    313. 

  313.           <td class="paramtype">T const &amp;&#160;</td>
    314. 

  314.           <td class="paramname"><em>aspect</em>, </td>
    315. 

  315.         </tr>
    316. 

  316.         <tr>
    317. 

  317.           <td class="paramkey"></td>
    318. 

  318.           <td></td>
    319. 

  319.           <td class="paramtype">T const &amp;&#160;</td>
    320. 

  320.           <td class="paramname"><em>zNear</em>, </td>
    321. 

  321.         </tr>
    322. 

  322.         <tr>
    323. 

  323.           <td class="paramkey"></td>
    324. 

  324.           <td></td>
    325. 

  325.           <td class="paramtype">T const &amp;&#160;</td>
    326. 

  326.           <td class="paramname"><em>zFar</em>&#160;</td>
    327. 

  327.         </tr>
    328. 

  328.         <tr>
    329. 

  329.           <td></td>
    330. 

  330.           <td>)</td>
    331. 

  331.           <td></td><td></td>
    332. 

  332.         </tr>
    333. 

  333.       </table>
    334. 

  334. </div>
    335. 

  335. <div class="memdoc">
    336. 

  336. 

  337. <p>Creates a matrix for a symetric perspective-view frustum. </p>
    338. 

  338. <p>From GLM_GTC_matrix_transform extension. </p>
    339. 

  339. 

  340. </div>
    341. 

  341. </div>
    342. 

  342. <a class="anchor" id="ga2d4fab691ace1abbffb3cdd4cc2316e9"></a><!-- doxytag: member="glm::gtc::matrix_transform::perspectiveFov" ref="ga2d4fab691ace1abbffb3cdd4cc2316e9" args="(valType const &amp;fov, valType const &amp;width, valType const &amp;height, valType const &amp;zNear, valType const &amp;zFar)" -->
    343. 

  343. <div class="memitem">
    344. 

  344. <div class="memproto">
    345. 

  345.       <table class="memname">
    346. 

  346.         <tr>
    347. 

  347.           <td class="memname">detail::tmat4x4&lt;valType&gt; glm::gtc::matrix_transform::perspectiveFov </td>
    348. 

  348.           <td>(</td>
    349. 

  349.           <td class="paramtype">valType const &amp;&#160;</td>
    350. 

  350.           <td class="paramname"><em>fov</em>, </td>
    351. 

  351.         </tr>
    352. 

  352.         <tr>
    353. 

  353.           <td class="paramkey"></td>
    354. 

  354.           <td></td>
    355. 

  355.           <td class="paramtype">valType const &amp;&#160;</td>
    356. 

  356.           <td class="paramname"><em>width</em>, </td>
    357. 

  357.         </tr>
    358. 

  358.         <tr>
    359. 

  359.           <td class="paramkey"></td>
    360. 

  360.           <td></td>
    361. 

  361.           <td class="paramtype">valType const &amp;&#160;</td>
    362. 

  362.           <td class="paramname"><em>height</em>, </td>
    363. 

  363.         </tr>
    364. 

  364.         <tr>
    365. 

  365.           <td class="paramkey"></td>
    366. 

  366.           <td></td>
    367. 

  367.           <td class="paramtype">valType const &amp;&#160;</td>
    368. 

  368.           <td class="paramname"><em>zNear</em>, </td>
    369. 

  369.         </tr>
    370. 

  370.         <tr>
    371. 

  371.           <td class="paramkey"></td>
    372. 

  372.           <td></td>
    373. 

  373.           <td class="paramtype">valType const &amp;&#160;</td>
    374. 

  374.           <td class="paramname"><em>zFar</em>&#160;</td>
    375. 

  375.         </tr>
    376. 

  376.         <tr>
    377. 

  377.           <td></td>
    378. 

  378.           <td>)</td>
    379. 

  379.           <td></td><td></td>
    380. 

  380.         </tr>
    381. 

  381.       </table>
    382. 

  382. </div>
    383. 

  383. <div class="memdoc">
    384. 

  384. 

  385. <p>Builds a perspective projection matrix based on a field of view From GLM_GTC_matrix_transform extension. </p>
    386. 

  386. 

  387. </div>
    388. 

  388. </div>
    389. 

  389. <a class="anchor" id="ga9ebc45c333c8ec63c5047d6c1fcb9415"></a><!-- doxytag: member="glm::gtc::matrix_transform::pickMatrix" ref="ga9ebc45c333c8ec63c5047d6c1fcb9415" args="(detail::tvec2&lt; T &gt; const &amp;center, detail::tvec2&lt; T &gt; const &amp;delta, detail::tvec4&lt; U &gt; const &amp;viewport)" -->
    390. 

  390. <div class="memitem">
    391. 

  391. <div class="memproto">
    392. 

  392.       <table class="memname">
    393. 

  393.         <tr>
    394. 

  394.           <td class="memname">detail::tmat4x4&lt;T&gt; glm::gtc::matrix_transform::pickMatrix </td>
    395. 

  395.           <td>(</td>
    396. 

  396.           <td class="paramtype">detail::tvec2&lt; T &gt; const &amp;&#160;</td>
    397. 

  397.           <td class="paramname"><em>center</em>, </td>
    398. 

  398.         </tr>
    399. 

  399.         <tr>
    400. 

  400.           <td class="paramkey"></td>
    401. 

  401.           <td></td>
    402. 

  402.           <td class="paramtype">detail::tvec2&lt; T &gt; const &amp;&#160;</td>
    403. 

  403.           <td class="paramname"><em>delta</em>, </td>
    404. 

  404.         </tr>
    405. 

  405.         <tr>
    406. 

  406.           <td class="paramkey"></td>
    407. 

  407.           <td></td>
    408. 

  408.           <td class="paramtype">detail::tvec4&lt; U &gt; const &amp;&#160;</td>
    409. 

  409.           <td class="paramname"><em>viewport</em>&#160;</td>
    410. 

  410.         </tr>
    411. 

  411.         <tr>
    412. 

  412.           <td></td>
    413. 

  413.           <td>)</td>
    414. 

  414.           <td></td><td></td>
    415. 

  415.         </tr>
    416. 

  416.       </table>
    417. 

  417. </div>
    418. 

  418. <div class="memdoc">
    419. 

  419. 

  420. <p>Define a picking region From GLM_GTC_matrix_transform extension. </p>
    421. 

  421. 

  422. </div>
    423. 

  423. </div>
    424. 

  424. <a class="anchor" id="ga30e98d64189bae49582de8373de9f09f"></a><!-- doxytag: member="glm::gtc::matrix_transform::project" ref="ga30e98d64189bae49582de8373de9f09f" args="(detail::tvec3&lt; T &gt; const &amp;obj, detail::tmat4x4&lt; T &gt; const &amp;model, detail::tmat4x4&lt; T &gt; const &amp;proj, detail::tvec4&lt; U &gt; const &amp;viewport)" -->
    425. 

  425. <div class="memitem">
    426. 

  426. <div class="memproto">
    427. 

  427.       <table class="memname">
    428. 

  428.         <tr>
    429. 

  429.           <td class="memname">detail::tvec3&lt;T&gt; glm::gtc::matrix_transform::project </td>
    430. 

  430.           <td>(</td>
    431. 

  431.           <td class="paramtype">detail::tvec3&lt; T &gt; const &amp;&#160;</td>
    432. 

  432.           <td class="paramname"><em>obj</em>, </td>
    433. 

  433.         </tr>
    434. 

  434.         <tr>
    435. 

  435.           <td class="paramkey"></td>
    436. 

  436.           <td></td>
    437. 

  437.           <td class="paramtype">detail::tmat4x4&lt; T &gt; const &amp;&#160;</td>
    438. 

  438.           <td class="paramname"><em>model</em>, </td>
    439. 

  439.         </tr>
    440. 

  440.         <tr>
    441. 

  441.           <td class="paramkey"></td>
    442. 

  442.           <td></td>
    443. 

  443.           <td class="paramtype">detail::tmat4x4&lt; T &gt; const &amp;&#160;</td>
    444. 

  444.           <td class="paramname"><em>proj</em>, </td>
    445. 

  445.         </tr>
    446. 

  446.         <tr>
    447. 

  447.           <td class="paramkey"></td>
    448. 

  448.           <td></td>
    449. 

  449.           <td class="paramtype">detail::tvec4&lt; U &gt; const &amp;&#160;</td>
    450. 

  450.           <td class="paramname"><em>viewport</em>&#160;</td>
    451. 

  451.         </tr>
    452. 

  452.         <tr>
    453. 

  453.           <td></td>
    454. 

  454.           <td>)</td>
    455. 

  455.           <td></td><td></td>
    456. 

  456.         </tr>
    457. 

  457.       </table>
    458. 

  458. </div>
    459. 

  459. <div class="memdoc">
    460. 

  460. 

  461. <p>Map the specified object coordinates (obj.x, obj.y, obj.z) into window coordinates. </p>
    462. 

  462. <p>From GLM_GTC_matrix_transform extension. </p>
    463. 

  463. 

  464. </div>
    465. 

  465. </div>
    466. 

  466. <a class="anchor" id="ga48168ff70412019857ceb28b3b2b1f5e"></a><!-- doxytag: member="glm::gtc::matrix_transform::rotate" ref="ga48168ff70412019857ceb28b3b2b1f5e" args="(detail::tmat4x4&lt; T &gt; const &amp;m, T const &amp;angle, detail::tvec3&lt; T &gt; const &amp;v)" -->
    467. 

  467. <div class="memitem">
    468. 

  468. <div class="memproto">
    469. 

  469.       <table class="memname">
    470. 

  470.         <tr>
    471. 

  471.           <td class="memname">detail::tmat4x4&lt;T&gt; glm::gtc::matrix_transform::rotate </td>
    472. 

  472.           <td>(</td>
    473. 

  473.           <td class="paramtype">detail::tmat4x4&lt; T &gt; const &amp;&#160;</td>
    474. 

  474.           <td class="paramname"><em>m</em>, </td>
    475. 

  475.         </tr>
    476. 

  476.         <tr>
    477. 

  477.           <td class="paramkey"></td>
    478. 

  478.           <td></td>
    479. 

  479.           <td class="paramtype">T const &amp;&#160;</td>
    480. 

  480.           <td class="paramname"><em>angle</em>, </td>
    481. 

  481.         </tr>
    482. 

  482.         <tr>
    483. 

  483.           <td class="paramkey"></td>
    484. 

  484.           <td></td>
    485. 

  485.           <td class="paramtype">detail::tvec3&lt; T &gt; const &amp;&#160;</td>
    486. 

  486.           <td class="paramname"><em>v</em>&#160;</td>
    487. 

  487.         </tr>
    488. 

  488.         <tr>
    489. 

  489.           <td></td>
    490. 

  490.           <td>)</td>
    491. 

  491.           <td></td><td></td>
    492. 

  492.         </tr>
    493. 

  493.       </table>
    494. 

  494. </div>
    495. 

  495. <div class="memdoc">
    496. 

  496. 

  497. <p>Builds a rotation 4 * 4 matrix created from an axis vector and an angle expressed in degrees. </p>
    498. 

  498. <p>From GLM_GTC_matrix_transform extension. </p>
    499. 

  499. 

  500. </div>
    501. 

  501. </div>
    502. 

  502. <a class="anchor" id="ga6da77ee2c33d0d33de557a37ff35b197"></a><!-- doxytag: member="glm::gtc::matrix_transform::scale" ref="ga6da77ee2c33d0d33de557a37ff35b197" args="(detail::tmat4x4&lt; T &gt; const &amp;m, detail::tvec3&lt; T &gt; const &amp;v)" -->
    503. 

  503. <div class="memitem">
    504. 

  504. <div class="memproto">
    505. 

  505.       <table class="memname">
    506. 

  506.         <tr>
    507. 

  507.           <td class="memname">detail::tmat4x4&lt;T&gt; glm::gtc::matrix_transform::scale </td>
    508. 

  508.           <td>(</td>
    509. 

  509.           <td class="paramtype">detail::tmat4x4&lt; T &gt; const &amp;&#160;</td>
    510. 

  510.           <td class="paramname"><em>m</em>, </td>
    511. 

  511.         </tr>
    512. 

  512.         <tr>
    513. 

  513.           <td class="paramkey"></td>
    514. 

  514.           <td></td>
    515. 

  515.           <td class="paramtype">detail::tvec3&lt; T &gt; const &amp;&#160;</td>
    516. 

  516.           <td class="paramname"><em>v</em>&#160;</td>
    517. 

  517.         </tr>
    518. 

  518.         <tr>
    519. 

  519.           <td></td>
    520. 

  520.           <td>)</td>
    521. 

  521.           <td></td><td></td>
    522. 

  522.         </tr>
    523. 

  523.       </table>
    524. 

  524. </div>
    525. 

  525. <div class="memdoc">
    526. 

  526. 

  527. <p>Builds a scale 4 * 4 matrix created from 3 scalars. </p>
    528. 

  528. <p>From GLM_GTC_matrix_transform extension. </p>
    529. 

  529. 

  530. </div>
    531. 

  531. </div>
    532. 

  532. <a class="anchor" id="ga4683c446c8432476750ade56f2537397"></a><!-- doxytag: member="glm::gtc::matrix_transform::translate" ref="ga4683c446c8432476750ade56f2537397" args="(detail::tmat4x4&lt; T &gt; const &amp;m, detail::tvec3&lt; T &gt; const &amp;v)" -->
    533. 

  533. <div class="memitem">
    534. 

  534. <div class="memproto">
    535. 

  535.       <table class="memname">
    536. 

  536.         <tr>
    537. 

  537.           <td class="memname">detail::tmat4x4&lt;T&gt; glm::gtc::matrix_transform::translate </td>
    538. 

  538.           <td>(</td>
    539. 

  539.           <td class="paramtype">detail::tmat4x4&lt; T &gt; const &amp;&#160;</td>
    540. 

  540.           <td class="paramname"><em>m</em>, </td>
    541. 

  541.         </tr>
    542. 

  542.         <tr>
    543. 

  543.           <td class="paramkey"></td>
    544. 

  544.           <td></td>
    545. 

  545.           <td class="paramtype">detail::tvec3&lt; T &gt; const &amp;&#160;</td>
    546. 

  546.           <td class="paramname"><em>v</em>&#160;</td>
    547. 

  547.         </tr>
    548. 

  548.         <tr>
    549. 

  549.           <td></td>
    550. 

  550.           <td>)</td>
    551. 

  551.           <td></td><td></td>
    552. 

  552.         </tr>
    553. 

  553.       </table>
    554. 

  554. </div>
    555. 

  555. <div class="memdoc">
    556. 

  556. 

  557. <p>Builds a translation 4 * 4 matrix created from a vector of 3 components. </p>
    558. 

  558. <p>From GLM_GTC_matrix_transform extension. </p>
    559. 

  559. 

  560. </div>
    561. 

  561. </div>
    562. 

  562. <a class="anchor" id="gac257959595078f003d6a0e4be6f9a2eb"></a><!-- doxytag: member="glm::gtc::matrix_transform::tweakedInfinitePerspective" ref="gac257959595078f003d6a0e4be6f9a2eb" args="(T fovy, T aspect, T zNear)" -->
    563. 

  563. <div class="memitem">
    564. 

  564. <div class="memproto">
    565. 

  565.       <table class="memname">
    566. 

  566.         <tr>
    567. 

  567.           <td class="memname">detail::tmat4x4&lt;T&gt; glm::gtc::matrix_transform::tweakedInfinitePerspective </td>
    568. 

  568.           <td>(</td>
    569. 

  569.           <td class="paramtype">T&#160;</td>
    570. 

  570.           <td class="paramname"><em>fovy</em>, </td>
    571. 

  571.         </tr>
    572. 

  572.         <tr>
    573. 

  573.           <td class="paramkey"></td>
    574. 

  574.           <td></td>
    575. 

  575.           <td class="paramtype">T&#160;</td>
    576. 

  576.           <td class="paramname"><em>aspect</em>, </td>
    577. 

  577.         </tr>
    578. 

  578.         <tr>
    579. 

  579.           <td class="paramkey"></td>
    580. 

  580.           <td></td>
    581. 

  581.           <td class="paramtype">T&#160;</td>
    582. 

  582.           <td class="paramname"><em>zNear</em>&#160;</td>
    583. 

  583.         </tr>
    584. 

  584.         <tr>
    585. 

  585.           <td></td>
    586. 

  586.           <td>)</td>
    587. 

  587.           <td></td><td></td>
    588. 

  588.         </tr>
    589. 

  589.       </table>
    590. 

  590. </div>
    591. 

  591. <div class="memdoc">
    592. 

  592. 

  593. <p>Creates a matrix for a symmetric perspective-view frustum with far plane at infinite for graphics hardware that doesn't support depth clamping. </p>
    594. 

  594. <p>From GLM_GTC_matrix_transform extension. </p>
    595. 

  595. 

  596. </div>
    597. 

  597. </div>
    598. 

  598. <a class="anchor" id="gac38d611231b15799a0c06c54ff1ede43"></a><!-- doxytag: member="glm::gtc::matrix_transform::unProject" ref="gac38d611231b15799a0c06c54ff1ede43" args="(detail::tvec3&lt; T &gt; const &amp;win, detail::tmat4x4&lt; T &gt; const &amp;model, detail::tmat4x4&lt; T &gt; const &amp;proj, detail::tvec4&lt; U &gt; const &amp;viewport)" -->
    599. 

  599. <div class="memitem">
    600. 

  600. <div class="memproto">
    601. 

  601.       <table class="memname">
    602. 

  602.         <tr>
    603. 

  603.           <td class="memname">detail::tvec3&lt;T&gt; glm::gtc::matrix_transform::unProject </td>
    604. 

  604.           <td>(</td>
    605. 

  605.           <td class="paramtype">detail::tvec3&lt; T &gt; const &amp;&#160;</td>
    606. 

  606.           <td class="paramname"><em>win</em>, </td>
    607. 

  607.         </tr>
    608. 

  608.         <tr>
    609. 

  609.           <td class="paramkey"></td>
    610. 

  610.           <td></td>
    611. 

  611.           <td class="paramtype">detail::tmat4x4&lt; T &gt; const &amp;&#160;</td>
    612. 

  612.           <td class="paramname"><em>model</em>, </td>
    613. 

  613.         </tr>
    614. 

  614.         <tr>
    615. 

  615.           <td class="paramkey"></td>
    616. 

  616.           <td></td>
    617. 

  617.           <td class="paramtype">detail::tmat4x4&lt; T &gt; const &amp;&#160;</td>
    618. 

  618.           <td class="paramname"><em>proj</em>, </td>
    619. 

  619.         </tr>
    620. 

  620.         <tr>
    621. 

  621.           <td class="paramkey"></td>
    622. 

  622.           <td></td>
    623. 

  623.           <td class="paramtype">detail::tvec4&lt; U &gt; const &amp;&#160;</td>
    624. 

  624.           <td class="paramname"><em>viewport</em>&#160;</td>
    625. 

  625.         </tr>
    626. 

  626.         <tr>
    627. 

  627.           <td></td>
    628. 

  628.           <td>)</td>
    629. 

  629.           <td></td><td></td>
    630. 

  630.         </tr>
    631. 

  631.       </table>
    632. 

  632. </div>
    633. 

  633. <div class="memdoc">
    634. 

  634. 

  635. <p>Map the specified window coordinates (win.x, win.y, win.z) into object coordinates. </p>
    636. 

  636. <p>From GLM_GTC_matrix_transform extension. </p>
    637. 

  637. 

  638. </div>
    639. 

  639. </div>
    640. 

  640. </div>
    641. 

  641. <hr class="footer"/><address class="footer"><small>Generated by&#160;
    642. 

  642. <a href="http://www.doxygen.org/index.html">
    643. 

  643. <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.7.4 </small></address>
    644. 

  644. </body>
    645. 

  645. </html>
    646.