197 lines
7.0 KiB
HTML
197 lines
7.0 KiB
HTML
|
<!DOCTYPE html>
|
|||
|
|
<html lang="zh">
|
|||
|
|
<head>
|
|||
|
|
<meta charset="utf-8" />
|
|||
|
|
<base href="../../../" />
|
|||
|
|
<script src="page.js"></script>
|
|||
|
|
<link type="text/css" rel="stylesheet" href="page.css" />
|
|||
|
|
</head>
|
|||
|
|
<body>
|
|||
|
|
<h1>三维矩阵（[name]）</h1>
|
|||
|
|
|
|||
|
|
<p class="desc">
|
|||
|
|
一个表示3X3矩阵[link:https://en.wikipedia.org/wiki/Matrix_(mathematics) matrix].的类。
|
|||
|
|
</p>
|
|||
|
|
|
|||
|
|
<h2>代码示例</h2>
|
|||
|
|
<code>
|
|||
|
|
const m = new Matrix3();
|
|||
|
|
</code>
|
|||
|
|
|
|||
|
|
<h2>注意行优先列优先的顺序。</h2>
|
|||
|
|
<p>
|
|||
|
|
[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]，
|
|||
|
|
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 />
|
|||
|
|
|
|||
|
|
这意味着
|
|||
|
|
<code>
|
|||
|
|
m.set( 11, 12, 13,
|
|||
|
|
21, 22, 23,
|
|||
|
|
31, 32, 33 );
|
|||
|
|
</code>
|
|||
|
|
元素数组[page:.elements elements]将存储为:
|
|||
|
|
<code>
|
|||
|
|
m.elements = [ 11, 21, 31,
|
|||
|
|
12, 22, 32,
|
|||
|
|
13, 23, 33 ];
|
|||
|
|
</code>
|
|||
|
|
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，
|
|||
|
|
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。
|
|||
|
|
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。
|
|||
|
|
</p>
|
|||
|
|
|
|||
|
|
<h2>Constructor</h2>
|
|||
|
|
|
|||
|
|
|
|||
|
|
<h3>[name]()</h3>
|
|||
|
|
<p>
|
|||
|
|
创建并初始化一个3X3的单位矩阵[link:https://en.wikipedia.org/wiki/Identity_matrix identity matrix].
|
|||
|
|
</p>
|
|||
|
|
|
|||
|
|
|
|||
|
|
|
|||
|
|
<h2>属性（Properties）</h2>
|
|||
|
|
|
|||
|
|
<h3>[property:Array elements]</h3>
|
|||
|
|
<p>
|
|||
|
|
矩阵列优先[link:https://en.wikipedia.org/wiki/Row-_and_column-major_order column-major]列表。
|
|||
|
|
</p>
|
|||
|
|
|
|||
|
|
|
|||
|
|
|
|||
|
|
<h2>方法（Methods）</h2>
|
|||
|
|
|
|||
|
|
<h3>[method:Matrix3 clone]()</h3>
|
|||
|
|
<p>创建一个新的矩阵，元素 [page:.elements elements] 与该矩阵相同。</p>
|
|||
|
|
|
|||
|
|
<h3>[method:this copy]( [param:Matrix3 m] )</h3>
|
|||
|
|
<p>将矩阵[page:Matrix3 m]的元素复制到当前矩阵中。</p>
|
|||
|
|
|
|||
|
|
<h3>[method:Float determinant]()</h3>
|
|||
|
|
<p>
|
|||
|
|
计算并返回矩阵的行列式[link:https://en.wikipedia.org/wiki/Determinant determinant] 。
|
|||
|
|
</p>
|
|||
|
|
|
|||
|
|
<h3>[method:Boolean equals]( [param:Matrix3 m] )</h3>
|
|||
|
|
<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>
|
|||
|
|
|
|||
|
|
<h3>[method:this extractBasis]( [param:Vector3 xAxis], [param:Vector3 yAxis], [param:Vector3 zAxis] )</h3>
|
|||
|
|
<p>
|
|||
|
|
Extracts the [link:https://en.wikipedia.org/wiki/Basis_(linear_algebra) basis] of this
|
|||
|
|
matrix into the three axis vectors provided. If this matrix is:
|
|||
|
|
<code>
|
|||
|
|
a, b, c,
|
|||
|
|
d, e, f,
|
|||
|
|
g, h, i
|
|||
|
|
</code>
|
|||
|
|
then the [page:Vector3 xAxis], [page:Vector3 yAxis], [page:Vector3 zAxis] will be set to:
|
|||
|
|
<code>
|
|||
|
|
xAxis = (a, d, g)
|
|||
|
|
yAxis = (b, e, h)
|
|||
|
|
zAxis = (c, f, i)
|
|||
|
|
</code>
|
|||
|
|
</p>
|
|||
|
|
|
|||
|
|
<h3>[method:this fromArray]( [param:Array array], [param:Integer offset] )</h3>
|
|||
|
|
<p>
|
|||
|
|
[page:Array array] - 用来存储设置元素数据的数组<br />
|
|||
|
|
[page:Integer offset] - (可选参数) 数组的偏移量，默认值为 0。<br /><br />
|
|||
|
|
|
|||
|
|
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。
|
|||
|
|
</p>
|
|||
|
|
|
|||
|
|
<h3>[method:this invert]()</h3>
|
|||
|
|
<p>
|
|||
|
|
Inverts this matrix, using the [link:https://en.wikipedia.org/wiki/Invertible_matrix#Analytic_solution analytic method].
|
|||
|
|
|
|||
|
|
You can not invert with a determinant of zero. If you attempt this, the method produces a zero matrix instead.
|
|||
|
|
</p>
|
|||
|
|
|
|||
|
|
<h3>[method:this getNormalMatrix]( [param:Matrix4 m] )</h3>
|
|||
|
|
<p>
|
|||
|
|
[page:Matrix4 m] - [page:Matrix4]<br /><br />
|
|||
|
|
|
|||
|
|
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）。
|
|||
|
|
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]。
|
|||
|
|
</p>
|
|||
|
|
|
|||
|
|
<h3>[method:this identity]()</h3>
|
|||
|
|
<p>
|
|||
|
|
将此矩阵重置为3x3单位矩阵:
|
|||
|
|
<code>
|
|||
|
|
1, 0, 0
|
|||
|
|
0, 1, 0
|
|||
|
|
0, 0, 1
|
|||
|
|
</code>
|
|||
|
|
|
|||
|
|
</p>
|
|||
|
|
|
|||
|
|
<h3>[method:this multiply]( [param:Matrix3 m] )</h3>
|
|||
|
|
<p>将当前矩阵乘以矩阵[page:Matrix3 m]。</p>
|
|||
|
|
|
|||
|
|
<h3>[method:this multiplyMatrices]( [param:Matrix3 a], [param:Matrix3 b] )</h3>
|
|||
|
|
<p>设置当前矩阵为矩阵[page:Matrix3 a] x 矩阵[page:Matrix3 b]。</p>
|
|||
|
|
|
|||
|
|
<h3>[method:this multiplyScalar]( [param:Float s] )</h3>
|
|||
|
|
<p>当前矩阵所有的元素乘以该缩放值*s*</p>
|
|||
|
|
|
|||
|
|
<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>
|
|||
|
|
<p>
|
|||
|
|
[page:Float n11] - 设置第一行第一列的值。<br />
|
|||
|
|
[page:Float n12] - 设置第一行第二列的值。<br />
|
|||
|
|
...<br />
|
|||
|
|
...<br />
|
|||
|
|
[page:Float n32] - 设置第三行第二列的值。<br />
|
|||
|
|
[page:Float n33] - 设置第三行第三列的值。<br /><br />
|
|||
|
|
|
|||
|
|
Sets the 3x3 matrix values to the given
|
|||
|
|
[link:https://en.wikipedia.org/wiki/Row-_and_column-major_order row-major]
|
|||
|
|
sequence of values.
|
|||
|
|
</p>
|
|||
|
|
|
|||
|
|
<h3>[method:this premultiply]( [param:Matrix3 m] )</h3>
|
|||
|
|
<p>将矩阵[page:Matrix3 m]乘以当前矩阵。</p>
|
|||
|
|
|
|||
|
|
<h3>[method:this setFromMatrix4]( [param:Matrix4 m] )</h3>
|
|||
|
|
<p>将当前矩阵设置为4X4矩阵[page:Matrix4 m]左上3X3</p>
|
|||
|
|
|
|||
|
|
<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>
|
|||
|
|
<p>
|
|||
|
|
[page:Float tx] - x偏移量<br />
|
|||
|
|
[page:Float ty] - y偏移量<br />
|
|||
|
|
[page:Float sx] - x方向的重复比例<br />
|
|||
|
|
[page:Float sy] - y方向的重复比例<br />
|
|||
|
|
[page:Float rotation] - 旋转（弧度）<br />
|
|||
|
|
[page:Float cx] - 旋转中心x<br />
|
|||
|
|
[page:Float cy] - 旋转中心y<br /><br />
|
|||
|
|
|
|||
|
|
使用偏移，重复，旋转和中心点位置设置UV变换矩阵。
|
|||
|
|
</p>
|
|||
|
|
|
|||
|
|
<h3>[method:Array toArray]( [param:Array array], [param:Integer offset] )</h3>
|
|||
|
|
<p>
|
|||
|
|
[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 />
|
|||
|
|
[page:Integer offset] - (可选参数) 存放矩阵元素数组的偏移量。<br /><br />
|
|||
|
|
|
|||
|
|
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。
|
|||
|
|
</p>
|
|||
|
|
|
|||
|
|
<h3>[method:this transpose]()</h3>
|
|||
|
|
<p>将该矩阵转置[link:https://en.wikipedia.org/wiki/Transpose Transposes]。</p>
|
|||
|
|
|
|||
|
|
<h3>[method:this transposeIntoArray]( [param:Array array] )</h3>
|
|||
|
|
<p>
|
|||
|
|
[page:Array array] - 用于存储当前矩阵转置结果的数组。<br /><br />
|
|||
|
|
|
|||
|
|
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，
|
|||
|
|
并返回当前矩阵。
|
|||
|
|
</p>
|
|||
|
|
|
|||
|
|
<h2>源码（Source）</h2>
|
|||
|
|
|
|||
|
|
<p>
|
|||
|
|
[link:https://github.com/mrdoob/three.js/blob/master/src/[path].js src/[path].js]
|
|||
|
|
</p>
|
|||
|
|
</body>
|
|||
|
|
</html>
|