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Matrix3.html 7.2 KB

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  1. <!DOCTYPE html>
  2. <html lang="zh">
  3. <head>
  4. <meta charset="utf-8" />
  5. <base href="../../../" />
  6. <script src="list.js"></script>
  7. <script src="page.js"></script>
  8. <link type="text/css" rel="stylesheet" href="page.css" />
  9. </head>
  10. <body>
  11. <h1>三维矩阵([name])</h1>
  12. <p class="desc">
  13. 一个表示3X3矩阵[link:https://en.wikipedia.org/wiki/Matrix_(mathematics) matrix].的类。
  14. </p>
  15. <h2>代码示例</h2>
  16. <code>
  17. var m = new Matrix3();
  18. </code>
  19. <h2>注意行优先列优先的顺序。</h2>
  20. <p>
  21. [page:set]()方法参数采用行优先[link:https://en.wikipedia.org/wiki/Row-_and_column-major_order#Column-major_order row-major],
  22. 而它们在内部是用列优先[link:https://en.wikipedia.org/wiki/Row-_and_column-major_order column-major]顺序存储在数组当中。<br /><br />
  23. 这意味着
  24. <code>
  25. m.set( 11, 12, 13,
  26. 21, 22, 23,
  27. 31, 32, 33 );
  28. </code>
  29. 元素数组[page:.elements elements]将存储为:
  30. <code>
  31. m.elements = [ 11, 21, 31,
  32. 12, 22, 32,
  33. 13, 23, 33 ];
  34. </code>
  35. 在内部,所有的计算都是使用列优先顺序进行的。然而,由于实际的排序在数学上没有什么不同,
  36. 而且大多数人习惯于以行优先顺序考虑矩阵,所以three.js文档以行为主的顺序显示矩阵。
  37. 请记住,如果您正在阅读源代码,您必须对这里列出的任何矩阵进行转置[link:https://en.wikipedia.org/wiki/Transpose transpose],以理解计算。
  38. </p>
  39. <h2>Constructor</h2>
  40. <h3>[name]()</h3>
  41. <p>
  42. 创建并初始化一个3X3的单位矩阵[link:https://en.wikipedia.org/wiki/Identity_matrix identity matrix].
  43. </p>
  44. <h2>属性(Properties)</h2>
  45. <h3>[property:Array elements]</h3>
  46. <p>
  47. 矩阵列优先[link:https://en.wikipedia.org/wiki/Row-_and_column-major_order column-major]列表。
  48. </p>
  49. <h2>方法(Methods)</h2>
  50. <h3>[method:Matrix3 clone]()</h3>
  51. <p>创建一个新的矩阵,元素 [page:.elements elements] 与该矩阵相同。</p>
  52. <h3>[method:this copy]( [param:Matrix3 m] )</h3>
  53. <p>将矩阵[page:Matrix3 m]的元素复制到当前矩阵中。</p>
  54. <h3>[method:Float determinant]()</h3>
  55. <p>
  56. 计算并返回矩阵的行列式[link:https://en.wikipedia.org/wiki/Determinant determinant] 。
  57. </p>
  58. <h3>[method:Boolean equals]( [param:Matrix3 m] )</h3>
  59. <p>如果矩阵[page:Matrix3 m] 与当前矩阵所有对应元素相同则返回true。</p>
  60. <h3>[method:this extractBasis]( [param:Vector3 xAxis], [param:Vector3 yAxis], [param:Vector3 zAxis] )</h3>
  61. <p>
  62. Extracts the [link:https://en.wikipedia.org/wiki/Basis_(linear_algebra) basis] of this
  63. matrix into the three axis vectors provided. If this matrix is:
  64. <code>
  65. a, b, c,
  66. d, e, f,
  67. g, h, i
  68. </code>
  69. then the [page:Vector3 xAxis], [page:Vector3 yAxis], [page:Vector3 zAxis] will be set to:
  70. <code>
  71. xAxis = (a, d, g)
  72. yAxis = (b, e, h)
  73. zAxis = (c, f, i)
  74. </code>
  75. </p>
  76. <h3>[method:this fromArray]( [param:Array array], [param:Integer offset] )</h3>
  77. <p>
  78. [page:Array array] - 用来存储设置元素数据的数组<br />
  79. [page:Integer offset] - (可选参数) 数组的偏移量,默认值为 0。<br /><br />
  80. 使用基于列优先格式[link:https://en.wikipedia.org/wiki/Row-_and_column-major_order#Column-major_order column-major]的数组来设置该矩阵。
  81. </p>
  82. <h3>[method:this getInverse]( [param:Matrix3 m] )</h3>
  83. <p>
  84. [page:Matrix3 m] - 取逆的矩阵。<br /><br />
  85. Set this matrix to the [link:https://en.wikipedia.org/wiki/Invertible_matrix inverse] of the passed matrix [page:Matrix3 m],
  86. using the [link:https://en.wikipedia.org/wiki/Invertible_matrix#Analytic_solution analytic method].
  87. You can not invert a matrix with a determinant of zero. If you attempt this, the method returns a zero matrix instead.
  88. </p>
  89. <h3>[method:this getNormalMatrix]( [param:Matrix4 m] )</h3>
  90. <p>
  91. [page:Matrix4 m] - [page:Matrix4]<br /><br />
  92. 将这个矩阵设置为给定矩阵的正规矩阵[link:https://en.wikipedia.org/wiki/Normal_matrix normal matrix](左上角的3x3)。
  93. 正规矩阵是矩阵[page:Matrix4 m]的逆矩阵[link:https://en.wikipedia.org/wiki/Invertible_matrix inverse] 的转置[link:https://en.wikipedia.org/wiki/Transpose transpose]。
  94. </p>
  95. <h3>[method:this identity]()</h3>
  96. <p>
  97. 将此矩阵重置为3x3单位矩阵:
  98. <code>
  99. 1, 0, 0
  100. 0, 1, 0
  101. 0, 0, 1
  102. </code>
  103. </p>
  104. <h3>[method:this multiply]( [param:Matrix3 m] )</h3>
  105. <p>将当前矩阵乘以矩阵[page:Matrix3 m]。</p>
  106. <h3>[method:this multiplyMatrices]( [param:Matrix3 a], [param:Matrix3 b] )</h3>
  107. <p>设置当前矩阵为矩阵[page:Matrix3 a] x 矩阵[page:Matrix3 b]。</p>
  108. <h3>[method:this multiplyScalar]( [param:Float s] )</h3>
  109. <p>当前矩阵所有的元素乘以该缩放值*s*</p>
  110. <h3>[method:this set]( [param:Float n11], [param:Float n12], [param:Float n13], [param:Float n21], [param:Float n22], [param:Float n23], [param:Float n31], [param:Float n32], [param:Float n33] )</h3>
  111. <p>
  112. [page:Float n11] - 设置第一行第一列的值。<br />
  113. [page:Float n12] - 设置第一行第二列的值。<br />
  114. ...<br />
  115. ...<br />
  116. [page:Float n32] - 设置第三行第二列的值。<br />
  117. [page:Float n33] - 设置第三行第三列的值。<br /><br />
  118. Sets the 3x3 matrix values to the given
  119. [link:https://en.wikipedia.org/wiki/Row-_and_column-major_order row-major]
  120. sequence of values.
  121. </p>
  122. <h3>[method:this premultiply]( [param:Matrix3 m] )</h3>
  123. <p>将矩阵[page:Matrix3 m]乘以当前矩阵。</p>
  124. <h3>[method:this setFromMatrix4]( [param:Matrix4 m] )</h3>
  125. <p>将当前矩阵设置为4X4矩阵[page:Matrix4 m]左上3X3</p>
  126. <h3>[method:this setUvTransform]( [param:Float tx], [param:Float ty], [param:Float sx], [param:Float sy], [param:Float rotation], [param:Float cx], [param:Float cy] )</h3>
  127. <p>
  128. [page:Float tx] - x偏移量<br />
  129. [page:Float ty] - y偏移量<br />
  130. [page:Float sx] - x方向的重复比例<br />
  131. [page:Float sy] - y方向的重复比例<br />
  132. [page:Float rotation] - 旋转(弧度)<br />
  133. [page:Float cx] - 旋转中心x<br />
  134. [page:Float cy] - 旋转中心y<br /><br />
  135. 使用偏移,重复,旋转和中心点位置设置UV变换矩阵。
  136. </p>
  137. <h3>[method:Array toArray]( [param:Array array], [param:Integer offset] )</h3>
  138. <p>
  139. [page:Array array] - (可选参数) 存储矩阵元素的数组,如果未指定会创建一个新的数组。<br />
  140. [page:Integer offset] - (可选参数) 存放矩阵元素数组的偏移量。<br /><br />
  141. 使用列优先[link:https://en.wikipedia.org/wiki/Row-_and_column-major_order#Column-major_order column-major]格式将此矩阵的元素写入数组中。
  142. </p>
  143. <h3>[method:this transpose]()</h3>
  144. <p>将该矩阵转置[link:https://en.wikipedia.org/wiki/Transpose Transposes]。</p>
  145. <h3>[method:this transposeIntoArray]( [param:Array array] )</h3>
  146. <p>
  147. [page:Array array] - 用于存储当前矩阵转置结果的数组。<br /><br />
  148. 将当前矩阵的转置[link:https://en.wikipedia.org/wiki/Transpose Transposes]存入给定的数组[param:Array array]但不改变当前矩阵,
  149. 并返回当前矩阵。
  150. </p>
  151. <h2>源码(Source)</h2>
  152. <p>
  153. [link:https://github.com/mrdoob/three.js/blob/master/src/[path].js src/[path].js]
  154. </p>
  155. </body>
  156. </html>