Matrix4.html 9.3 KB

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  1. <!DOCTYPE html>
  2. <html lang="en">
  3. <head>
  4. <meta charset="utf-8">
  5. <script src="../../list.js"></script>
  6. <script src="../../page.js"></script>
  7. <link type="text/css" rel="stylesheet" href="../../page.css" />
  8. </head>
  9. <body>
  10. <h1>[name]</h1>
  11. <div class="desc">A 4x4 Matrix.</div>
  12. <h2>Example</h2>
  13. <code>// Simple rig for rotating around 3 axes
  14. var m = new THREE.Matrix4();
  15. var m1 = new THREE.Matrix4();
  16. var m2 = new THREE.Matrix4();
  17. var m3 = new THREE.Matrix4();
  18. var alpha = 0;
  19. var beta = Math.PI;
  20. var gamma = Math.PI/2;
  21. m1.makeRotationX( alpha );
  22. m2.makeRotationY( beta );
  23. m3.makeRotationZ( gamma );
  24. m.multiply( m1, m2 );
  25. m.multiplySelf( m3 );
  26. </code>
  27. <h2>Constructor</h2>
  28. <h3>[name]( [page:Float n11], [page:Float n12], [page:Float n13], [page:Float n14], [page:Float n21], [page:Float n22], [page:Float n23], [page:Float n24], [page:Float n31], [page:Float n32], [page:Float n33], [page:Float n34], [page:Float n41], [page:Float n42], [page:Float n43], [page:Float n44] )</h3>
  29. <div>Initialises the matrix with the supplied n11..n44 values, or just creates an identity matrix if no values are passed.</div>
  30. <h2>Properties</h2>
  31. <h3>.[page:Float32Array elements]</h3>
  32. <h2>Methods</h2>
  33. <h3>.set( [page:Float n11], [page:Float n12], [page:Float n13], [page:Float n14], [page:Float n21], [page:Float n22], [page:Float n23], [page:Float n24], [page:Float n31], [page:Float n32], [page:Float n33], [page:Float n34], [page:Float n41], [page:Float n42], [page:Float n43], [page:Float n44] ) [page:Matrix4]</h3>
  34. <div>
  35. Sets all fields of this matrix.
  36. </div>
  37. <h3>.identity() [page:Matrix4]</h3>
  38. <div>
  39. Resets this matrix to identity.
  40. </div>
  41. <h3>.copy( [page:Matrix4 m] ) [page:Matrix4]</h3>
  42. <div>
  43. Copies a matrix *m* into this matrix.
  44. </div>
  45. <h3>.lookAt( [page:Vector3 eye], [page:Vector3 center], [page:Vector3 up], ) [page:Matrix4]</h3>
  46. <div>
  47. Constructs a rotation matrix, looking from *eye* towards *center* with defined *up* vector.
  48. </div>
  49. <h3>.multiply( [page:Matrix4 a], [page:Matrix4 b] ) [page:Matrix4]</h3>
  50. <div>
  51. Sets this matrix to *a x b*.
  52. </div>
  53. <h3>.multiplySelf( [page:Matrix4 m] ) [page:Matrix4]</h3>
  54. <div>
  55. Multiplies this matrix by *m*.
  56. </div>
  57. <h3>.multiplyToArray( [page:Matrix4 a], [page:Matrix4 b], [page:Array r] ) [page:Matrix4]</h3>
  58. <div>
  59. Sets this matrix to *a x b* and stores the result into the flat array *r*.<br />
  60. *r* can be either a regular Array or a TypedArray.
  61. </div>
  62. <h3>.multiplyScalar( [page:Float s] ) [page:Matrix4]</h3>
  63. <div>
  64. Multiplies this matrix by *s*.
  65. </div>
  66. <h3>.multiplyVector3( [page:Vector3 v] ) [page:Vector3]</h3>
  67. <div>
  68. Applies this matrix to *v*.
  69. </div>
  70. <h3>.multiplyVector4( [page:Vector4 v] ) [page:Vector4]</h3>
  71. <div>
  72. Applies this matrix to *v*.
  73. </div>
  74. <h3>.rotateAxis( [page:Vector3 v] ) [page:Vector3]</h3>
  75. <div>
  76. Applies rotation submatrix of this matrix to vector *v* and then normalizes it.
  77. </div>
  78. <h3>.crossVector( [page:Vector4 a] ) [page:Vector4]</h3>
  79. <div>
  80. Computes the cross product between this matrix and the [page:Vector4] parameter *a*.
  81. </div>
  82. <h3>.determinant() [page:Float]</h3>
  83. <div>
  84. Computes determinant of this matrix.<br />
  85. Based on [link:http://www.euclideanspace.com/maths/algebra/matrix/functions/inverse/fourD/index.htm]
  86. </div>
  87. <h3>.transpose() [page:Matrix4]</h3>
  88. <div>
  89. Transposes this matrix.
  90. </div>
  91. <h3>.flatten() [page:Array]</h3>
  92. <div>
  93. Flattens this matrix into internal [page:Matrix4 Matrix4.flat] array.
  94. </div>
  95. <h3>.flattenToArray( [page:Array flat] ) [page:Array]</h3>
  96. <div>
  97. Flattens this matrix into supplied *flat* array.
  98. </div>
  99. <h3>.flattenToArrayOffset( [page:Array flat], [page:Integer offset] ) [page:Array]</h3>
  100. <div>
  101. Flattens this matrix into supplied *flat* array starting from *offset* position in the array.
  102. </div>
  103. <h3>.setPosition( [page:Vector3 v] ) [page:Matrix4]</h3>
  104. <div>
  105. Sets the position component for this matrix from vector *v*.
  106. </div>
  107. <h3>.getPosition() [page:Vector3]</h3>
  108. <div>
  109. Returns position component from this matrix.<br />
  110. Note: this method returns a reference to the internal class vector, make a copy or clone it if you don't use it right away.
  111. </div>
  112. <h3>.getColumnX() [page:Vector3]</h3>
  113. <div>
  114. Returns x column component from this matrix.<br />
  115. Note: this method returns a reference to the internal class vector, make a copy or clone it if you don't use it right away.
  116. </div>
  117. <h3>.getColumnY() [page:Vector3]</h3>
  118. <div>
  119. Returns y column component from this matrix.<br />
  120. Note: this method returns a reference to the internal class vector, make a copy or clone it if you don't use it right away.
  121. </div>
  122. <h3>.getColumnZ() [page:Vector3]</h3>
  123. <div>
  124. Returns z column component from this matrix.<br />
  125. Note: this method returns a reference to the internal class vector, make a copy or clone it if you don't use it right away.
  126. </div>
  127. <h3>.getInverse( [page:Matrix4 m] ) [page:Matrix4]</h3>
  128. <div>
  129. Sets this matrix to the inverse of matrix *m*.<br />
  130. Based on [link:http://www.euclideanspace.com/maths/algebra/matrix/functions/inverse/fourD/index.htm].
  131. </div>
  132. <h3>.setRotationFromEuler( [page:Vector3 v], [page:String order] ) [page:Matrix4]</h3>
  133. <div>
  134. v — Rotation vector.
  135. order — The order of rotations. Eg. "XYZ".
  136. </div>
  137. <div>
  138. Sets the rotation submatrix of this matrix to the rotation specified by Euler angles.<br />
  139. Default order is *"XYZ"*.
  140. </div>
  141. <h3>.setRotationFromQuaternion( [page:Quaternion q] ) [page:Matrix4]</h3>
  142. <div>
  143. Sets the rotation submatrix of this matrix to the rotation specified by *q*.
  144. </div>
  145. <h3>.scale( [page:Vector3 v] ) [page:Matrix4]</h3>
  146. <div>
  147. Multiplies the columns of this matrix by vector *v*.
  148. </div>
  149. <h3>.compose( [page:Vector3 translation], [page:Quaternion rotation], [page:Vector3 scale] ) [page:Matrix4]</h3>
  150. <div>
  151. Sets this matrix to the transformation composed of *translation*, *rotation* and *scale*.
  152. </div>
  153. <h3>.decompose( [page:Vector3 translation], [page:Quaternion rotation], [page:Vector3 scale] ) [page:Array]</h3>
  154. <div>
  155. Decomposes this matrix into the *translation*, *rotation* and *scale* components.<br />
  156. If parameters are not passed, new instances will be created.
  157. </div>
  158. <h3>.extractPosition( [page:Matrix4 m] ) [page:Matrix4]</h3>
  159. <div>
  160. Copies the translation component of the supplied matrix *m* into this matrix translation component.
  161. </div>
  162. <h3>.extractRotation( [page:Matrix4 m] ) [page:Matrix4]</h3>
  163. <div>
  164. Copies the rotation component of the supplied matrix *m* into this matrix rotation component.
  165. </div>
  166. <h3>.rotateByAxis( [page:Vector3 axis], [page:Float angle] ) [page:Matrix4]</h3>
  167. <div>
  168. Rotates this matrix around the supplied *axis* by *angle*.
  169. </div>
  170. <h3>.rotateX( [page:Float angle] ) [page:Matrix4]</h3>
  171. <div>
  172. Rotates this matrix around the *x* axis by *angle*.
  173. </div>
  174. <h3>.rotateY( [page:Float angle] ) [page:Matrix4]</h3>
  175. <div>
  176. Rotates this matrix around the *y* axis by *angle*.
  177. </div>
  178. <h3>.rotateZ( [page:Float angle] ) [page:Matrix4]</h3>
  179. <div>
  180. Rotates this matrix around the *z* axis by *angle*.
  181. </div>
  182. <h3>.translate( [page:Vector3 v] ) [page:Matrix4]</h3>
  183. <div>
  184. Translates this matrix by vector *v*.
  185. </div>
  186. <h3>.makeTranslation( [page:Float x], [page:Float y], [page:Float z] ) [page:Matrix4]</h3>
  187. <div>
  188. Sets this matrix as translation transform.
  189. </div>
  190. <h3>.makeRotationX( [page:Float theta] ) [page:Matrix4]</h3>
  191. <div>
  192. theta — Rotation angle in radians.
  193. </div>
  194. <div>
  195. Sets this matrix as rotation transform around x axis by *theta* radians.
  196. </div>
  197. <h3>.makeRotationY( [page:Float theta] ) [page:Matrix4]</h3>
  198. <div>
  199. theta — Rotation angle in radians.
  200. </div>
  201. <div>
  202. Sets this matrix as rotation transform around y axis by *theta* radians.
  203. </div>
  204. <h3>.makeRotationZ( [page:Float theta] ) [page:Matrix4]</h3>
  205. <div>
  206. theta — Rotation angle in radians.
  207. </div>
  208. <div>
  209. Sets this matrix as rotation transform around z axis by *theta* radians.
  210. </div>
  211. <h3>.makeRotationAxis( [page:Vector3 axis], [page:Float theta] ) [page:Matrix4]</h3>
  212. <div>
  213. axis — Rotation axis.
  214. theta — Rotation angle in radians.
  215. </div>
  216. <div>
  217. Sets this matrix as rotation transform around *axis* by *angle* radians.<br />
  218. Based on [link:http://www.gamedev.net/reference/articles/article1199.asp].
  219. </div>
  220. <h3>.makeScale( [page:Float x], [page:Float y], [page:Float z] ) [page:Matrix4]</h3>
  221. <div>
  222. Sets this matrix as scale transform.
  223. </div>
  224. <h3>.makeFrustum( [page:Float left], [page:Float right], [page:Float bottom], [page:Float top], [page:Float near], [page:Float far] ) [page:Matrix4]</h3>
  225. <div>
  226. Creates a [page:Frustum frustum] matrix.
  227. </div>
  228. <h3>.makePerspective( [page:Float fov], [page:Float aspect], [page:Float near], [page:Float far] ) [page:Matrix4]</h3>
  229. <div>
  230. Creates a perspective projection matrix.
  231. </div>
  232. <h3>.makeOrthographic( [page:Float left], [page:Float right], [page:Float bottom], [page:Float top], [page:Float near], [page:Float far] ) [page:Matrix4]</h3>
  233. <div>
  234. Creates an orthographic projection matrix.
  235. </div>
  236. <h3>.clone() [page:Matrix4]</h3>
  237. <div>
  238. Clones this matrix.
  239. </div>
  240. <h2>Source</h2>
  241. [link:https://github.com/mrdoob/three.js/blob/master/src/[path].js src/[path].js]
  242. </body>
  243. </html>