group__MatrixMathFunctions.html 13 KB

123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245
  1. <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
  2. <html xmlns="http://www.w3.org/1999/xhtml" lang="en-US">
  3. <head>
  4. <meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
  5. <meta http-equiv="X-UA-Compatible" content="IE=11"/>
  6. <meta name="generator" content="Doxygen 1.9.8"/>
  7. <meta name="viewport" content="width=device-width, initial-scale=1"/>
  8. <title>TorqueScript Reference: Matrix Math</title>
  9. <link href="tabs.css" rel="stylesheet" type="text/css"/>
  10. <script type="text/javascript" src="jquery.js"></script>
  11. <script type="text/javascript" src="dynsections.js"></script>
  12. <link href="doxygen.css" rel="stylesheet" type="text/css" />
  13. <link href="t2d-stylesheet-extra.css" rel="stylesheet" type="text/css"/>
  14. </head>
  15. <body>
  16. <div id="top"><!-- do not remove this div, it is closed by doxygen! -->
  17. <div id="titlearea">
  18. <table cellspacing="0" cellpadding="0">
  19. <tbody>
  20. <tr id="projectrow">
  21. <td id="projectalign">
  22. <div id="projectname">TorqueScript Reference
  23. </div>
  24. </td>
  25. </tr>
  26. </tbody>
  27. </table>
  28. </div>
  29. <!-- end header part -->
  30. <!-- Generated by Doxygen 1.9.8 -->
  31. <script type="text/javascript" src="menudata.js"></script>
  32. <script type="text/javascript" src="menu.js"></script>
  33. <script type="text/javascript">
  34. /* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&amp;dn=expat.txt MIT */
  35. $(function() {
  36. initMenu('',false,false,'search.php','Search');
  37. });
  38. /* @license-end */
  39. </script>
  40. <div id="main-nav"></div>
  41. </div><!-- top -->
  42. <div class="header">
  43. <div class="summary">
  44. <a href="#func-members">Functions</a> </div>
  45. <div class="headertitle"><div class="title">Matrix Math<div class="ingroups"><a class="el" href="group__TorqueScriptFunctions.html">Function Categories</a></div></div></div>
  46. </div><!--header-->
  47. <div class="contents">
  48. <table class="memberdecls">
  49. <tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
  50. Functions</h2></td></tr>
  51. <tr class="memitem:gac5c5f4fa95a596f0fe4432e50167e7f4" id="r_gac5c5f4fa95a596f0fe4432e50167e7f4"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__TorqueScriptTypes.html#gadd36cf0d984acde0881d9ab8fff3ae5d">String</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__MatrixMathFunctions.html#gac5c5f4fa95a596f0fe4432e50167e7f4">MatrixCreate</a> (posVec, rotVec)</td></tr>
  52. <tr class="separator:gac5c5f4fa95a596f0fe4432e50167e7f4"><td class="memSeparator" colspan="2">&#160;</td></tr>
  53. <tr class="memitem:gaff69a2f937f57ebb03643143ee40bb5b" id="r_gaff69a2f937f57ebb03643143ee40bb5b"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__TorqueScriptTypes.html#gadd36cf0d984acde0881d9ab8fff3ae5d">String</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__MatrixMathFunctions.html#gaff69a2f937f57ebb03643143ee40bb5b">MatrixCreateFromEuler</a> (rotVec)</td></tr>
  54. <tr class="separator:gaff69a2f937f57ebb03643143ee40bb5b"><td class="memSeparator" colspan="2">&#160;</td></tr>
  55. <tr class="memitem:gae41a6d1bb084a95329df7aa38be7b9d2" id="r_gae41a6d1bb084a95329df7aa38be7b9d2"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__TorqueScriptTypes.html#gadd36cf0d984acde0881d9ab8fff3ae5d">String</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__MatrixMathFunctions.html#gae41a6d1bb084a95329df7aa38be7b9d2">MatrixMulPoint</a> (transform, point)</td></tr>
  56. <tr class="separator:gae41a6d1bb084a95329df7aa38be7b9d2"><td class="memSeparator" colspan="2">&#160;</td></tr>
  57. <tr class="memitem:gae77d34fdc48d7700c78a87959fe15f57" id="r_gae77d34fdc48d7700c78a87959fe15f57"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__TorqueScriptTypes.html#gadd36cf0d984acde0881d9ab8fff3ae5d">String</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__MatrixMathFunctions.html#gae77d34fdc48d7700c78a87959fe15f57">MatrixMultiply</a> (transformA, transformB)</td></tr>
  58. <tr class="separator:gae77d34fdc48d7700c78a87959fe15f57"><td class="memSeparator" colspan="2">&#160;</td></tr>
  59. <tr class="memitem:gafff5d5df9764fd781d436a883ceca09e" id="r_gafff5d5df9764fd781d436a883ceca09e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__TorqueScriptTypes.html#gadd36cf0d984acde0881d9ab8fff3ae5d">String</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__MatrixMathFunctions.html#gafff5d5df9764fd781d436a883ceca09e">MatrixMulVector</a> (transform, vector)</td></tr>
  60. <tr class="separator:gafff5d5df9764fd781d436a883ceca09e"><td class="memSeparator" colspan="2">&#160;</td></tr>
  61. </table>
  62. <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
  63. <h2 class="groupheader">Function Documentation</h2>
  64. <a id="gac5c5f4fa95a596f0fe4432e50167e7f4" name="gac5c5f4fa95a596f0fe4432e50167e7f4"></a>
  65. <h2 class="memtitle"><span class="permalink"><a href="#gac5c5f4fa95a596f0fe4432e50167e7f4">&#9670;&#160;</a></span>MatrixCreate()</h2>
  66. <div class="memitem">
  67. <div class="memproto">
  68. <table class="memname">
  69. <tr>
  70. <td class="memname"><a class="el" href="group__TorqueScriptTypes.html#gadd36cf0d984acde0881d9ab8fff3ae5d">String</a> MatrixCreate </td>
  71. <td>(</td>
  72. <td class="paramtype">posVec&#160;</td>
  73. <td class="paramname">, </td>
  74. </tr>
  75. <tr>
  76. <td class="paramkey"></td>
  77. <td></td>
  78. <td class="paramtype">rotVec&#160;</td>
  79. <td class="paramname">&#160;</td>
  80. </tr>
  81. <tr>
  82. <td></td>
  83. <td>)</td>
  84. <td></td><td></td>
  85. </tr>
  86. </table>
  87. </div><div class="memdoc">
  88. <p>Use the matrixCreate function to create a transform matrix from a three-element floating-point translation vector and a four-element floating-point rotation vector. </p><dl class="params"><dt>Parameters</dt><dd>
  89. <table class="params">
  90. <tr><td class="paramname">posVec</td><td>A three-element floating-point translation vector: \PosX PosY PosZ. </td></tr>
  91. <tr><td class="paramname">rotVec</td><td>A four-element floating-point rotation vector: \RotX RotY RotZ. </td></tr>
  92. <tr><td class="paramname">These</td><td>re rotations about the specified axes. </td></tr>
  93. </table>
  94. </dd>
  95. </dl>
  96. <dl class="section return"><dt>Returns</dt><dd>Returns a transform matrix of the form \PosX PosY PosZ RotX RotY RotZ theta. </dd></dl>
  97. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group__MatrixMathFunctions.html#gaff69a2f937f57ebb03643143ee40bb5b">MatrixCreateFromEuler</a> </dd></dl>
  98. </div>
  99. </div>
  100. <a id="gaff69a2f937f57ebb03643143ee40bb5b" name="gaff69a2f937f57ebb03643143ee40bb5b"></a>
  101. <h2 class="memtitle"><span class="permalink"><a href="#gaff69a2f937f57ebb03643143ee40bb5b">&#9670;&#160;</a></span>MatrixCreateFromEuler()</h2>
  102. <div class="memitem">
  103. <div class="memproto">
  104. <table class="memname">
  105. <tr>
  106. <td class="memname"><a class="el" href="group__TorqueScriptTypes.html#gadd36cf0d984acde0881d9ab8fff3ae5d">String</a> MatrixCreateFromEuler </td>
  107. <td>(</td>
  108. <td class="paramtype">rotVec&#160;</td>
  109. <td class="paramname"></td><td>)</td>
  110. <td></td>
  111. </tr>
  112. </table>
  113. </div><div class="memdoc">
  114. <p>Use the MatrixCreateFromEuler function to calculate a transform matrix from a three-element floating-point rotation vector. </p><dl class="params"><dt>Parameters</dt><dd>
  115. <table class="params">
  116. <tr><td class="paramname">rotVec</td><td>A three-element floating-point rotation vector: \RotX RotY RotZ. These are rotations about the specified axes. </td></tr>
  117. </table>
  118. </dd>
  119. </dl>
  120. <dl class="section return"><dt>Returns</dt><dd>Returns a transform matrix of the form \0 0 0 X Y Z theta. </dd></dl>
  121. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group__MatrixMathFunctions.html#gac5c5f4fa95a596f0fe4432e50167e7f4">MatrixCreate</a> </dd></dl>
  122. </div>
  123. </div>
  124. <a id="gae41a6d1bb084a95329df7aa38be7b9d2" name="gae41a6d1bb084a95329df7aa38be7b9d2"></a>
  125. <h2 class="memtitle"><span class="permalink"><a href="#gae41a6d1bb084a95329df7aa38be7b9d2">&#9670;&#160;</a></span>MatrixMulPoint()</h2>
  126. <div class="memitem">
  127. <div class="memproto">
  128. <table class="memname">
  129. <tr>
  130. <td class="memname"><a class="el" href="group__TorqueScriptTypes.html#gadd36cf0d984acde0881d9ab8fff3ae5d">String</a> MatrixMulPoint </td>
  131. <td>(</td>
  132. <td class="paramtype">transform&#160;</td>
  133. <td class="paramname">, </td>
  134. </tr>
  135. <tr>
  136. <td class="paramkey"></td>
  137. <td></td>
  138. <td class="paramtype">point&#160;</td>
  139. <td class="paramname">&#160;</td>
  140. </tr>
  141. <tr>
  142. <td></td>
  143. <td>)</td>
  144. <td></td><td></td>
  145. </tr>
  146. </table>
  147. </div><div class="memdoc">
  148. <p>Use the MatrixMulPoint function to multiply a seven element transform matrix by a three element point vector, producing a three element position vector. </p><dl class="params"><dt>Parameters</dt><dd>
  149. <table class="params">
  150. <tr><td class="paramname">transform</td><td>A seven-element transform matrix. </td></tr>
  151. <tr><td class="paramname">point</td><td>A three-element point/position vector. </td></tr>
  152. </table>
  153. </dd>
  154. </dl>
  155. <dl class="section return"><dt>Returns</dt><dd>Returns a three-element position vector. </dd></dl>
  156. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group__MatrixMathFunctions.html#gae77d34fdc48d7700c78a87959fe15f57">MatrixMultiply</a>, <a class="el" href="group__MatrixMathFunctions.html#gafff5d5df9764fd781d436a883ceca09e">MatrixMulVector</a> </dd></dl>
  157. </div>
  158. </div>
  159. <a id="gae77d34fdc48d7700c78a87959fe15f57" name="gae77d34fdc48d7700c78a87959fe15f57"></a>
  160. <h2 class="memtitle"><span class="permalink"><a href="#gae77d34fdc48d7700c78a87959fe15f57">&#9670;&#160;</a></span>MatrixMultiply()</h2>
  161. <div class="memitem">
  162. <div class="memproto">
  163. <table class="memname">
  164. <tr>
  165. <td class="memname"><a class="el" href="group__TorqueScriptTypes.html#gadd36cf0d984acde0881d9ab8fff3ae5d">String</a> MatrixMultiply </td>
  166. <td>(</td>
  167. <td class="paramtype">transformA&#160;</td>
  168. <td class="paramname">, </td>
  169. </tr>
  170. <tr>
  171. <td class="paramkey"></td>
  172. <td></td>
  173. <td class="paramtype">transformB&#160;</td>
  174. <td class="paramname">&#160;</td>
  175. </tr>
  176. <tr>
  177. <td></td>
  178. <td>)</td>
  179. <td></td><td></td>
  180. </tr>
  181. </table>
  182. </div><div class="memdoc">
  183. <p>Use the MatrixMultiply function to multiply two seven-element transform matrices to produce a new seven element matrix. </p><dl class="params"><dt>Parameters</dt><dd>
  184. <table class="params">
  185. <tr><td class="paramname">transformA</td><td>A seven-element transform matrix of the form \PosX PosY PosZ RotX RotY RotZ theta. </td></tr>
  186. <tr><td class="paramname">transformB</td><td>A seven-element transform matrix of the form \PosX PosY PosZ RotX RotY RotZ theta. </td></tr>
  187. </table>
  188. </dd>
  189. </dl>
  190. <dl class="section return"><dt>Returns</dt><dd>Returns a seven-element matrix resulting from transiformA x transformB. </dd></dl>
  191. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group__MatrixMathFunctions.html#gae41a6d1bb084a95329df7aa38be7b9d2">MatrixMulPoint</a>, <a class="el" href="group__MatrixMathFunctions.html#gafff5d5df9764fd781d436a883ceca09e">MatrixMulVector</a> </dd></dl>
  192. </div>
  193. </div>
  194. <a id="gafff5d5df9764fd781d436a883ceca09e" name="gafff5d5df9764fd781d436a883ceca09e"></a>
  195. <h2 class="memtitle"><span class="permalink"><a href="#gafff5d5df9764fd781d436a883ceca09e">&#9670;&#160;</a></span>MatrixMulVector()</h2>
  196. <div class="memitem">
  197. <div class="memproto">
  198. <table class="memname">
  199. <tr>
  200. <td class="memname"><a class="el" href="group__TorqueScriptTypes.html#gadd36cf0d984acde0881d9ab8fff3ae5d">String</a> MatrixMulVector </td>
  201. <td>(</td>
  202. <td class="paramtype">transform&#160;</td>
  203. <td class="paramname">, </td>
  204. </tr>
  205. <tr>
  206. <td class="paramkey"></td>
  207. <td></td>
  208. <td class="paramtype">vector&#160;</td>
  209. <td class="paramname">&#160;</td>
  210. </tr>
  211. <tr>
  212. <td></td>
  213. <td>)</td>
  214. <td></td><td></td>
  215. </tr>
  216. </table>
  217. </div><div class="memdoc">
  218. <p>Use the MatrixMulVector function to multiply a seven-element transform matrix with a three-element matrix. </p><dl class="params"><dt>Parameters</dt><dd>
  219. <table class="params">
  220. <tr><td class="paramname">transform</td><td>A seven-element transform matrix of the form \PosX PosY PosZ RotX RotY RotZ theta. </td></tr>
  221. <tr><td class="paramname">vector</td><td>A three-element vector. </td></tr>
  222. </table>
  223. </dd>
  224. </dl>
  225. <dl class="section return"><dt>Returns</dt><dd>Returns three-element resulting from vector * transform. </dd></dl>
  226. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group__MatrixMathFunctions.html#gae41a6d1bb084a95329df7aa38be7b9d2">MatrixMulPoint</a>, <a class="el" href="group__MatrixMathFunctions.html#gae77d34fdc48d7700c78a87959fe15f57">MatrixMultiply</a> </dd></dl>
  227. </div>
  228. </div>
  229. </div><!-- contents -->
  230. <!-- start footer part -->
  231. <hr class="footer"/><address class="footer"><small>
  232. Generated by&#160;<a href="https://www.doxygen.org/index.html"><img class="footer" src="doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.9.8
  233. </small></address>
  234. </body>
  235. </html>