|
@@ -0,0 +1,132 @@
|
|
|
|
+<!DOCTYPE html>
|
|
|
|
+<html lang="en">
|
|
|
|
+ <head>
|
|
|
|
+ <meta charset="utf-8" />
|
|
|
|
+ <base href="../../../" />
|
|
|
|
+ <script src="page.js"></script>
|
|
|
|
+ <link type="text/css" rel="stylesheet" href="page.css" />
|
|
|
|
+ </head>
|
|
|
|
+ <body>
|
|
|
|
+ <h1>[name]</h1>
|
|
|
|
+
|
|
|
|
+ <p class="desc">
|
|
|
|
+ A class representing a 2x2
|
|
|
|
+ [link:https://en.wikipedia.org/wiki/Matrix_(mathematics) matrix].
|
|
|
|
+ </p>
|
|
|
|
+
|
|
|
|
+ <h2>Code Example</h2>
|
|
|
|
+ <code>
|
|
|
|
+const m = new Matrix2();
|
|
|
|
+ </code>
|
|
|
|
+
|
|
|
|
+ <h2>A Note on Row-Major and Column-Major Ordering</h2>
|
|
|
|
+ <p>
|
|
|
|
+ The constructor and [page:set]() method take arguments in
|
|
|
|
+ [link:https://en.wikipedia.org/wiki/Row-_and_column-major_order#Column-major_order row-major]
|
|
|
|
+ order, while internally they are stored in the [page:.elements elements]
|
|
|
|
+ array in column-major order.<br /><br />
|
|
|
|
+
|
|
|
|
+ This means that calling
|
|
|
|
+ <code>
|
|
|
|
+m.set( 11, 12,
|
|
|
|
+ 21, 22 );
|
|
|
|
+ </code>
|
|
|
|
+ will result in the [page:.elements elements] array containing:
|
|
|
|
+ <code>
|
|
|
|
+m.elements = [ 11, 21,
|
|
|
|
+ 12, 22 ];
|
|
|
|
+ </code>
|
|
|
|
+ and internally all calculations are performed using column-major ordering.
|
|
|
|
+ However, as the actual ordering makes no difference mathematically and
|
|
|
|
+ most people are used to thinking about matrices in row-major order, the
|
|
|
|
+ three.js documentation shows matrices in row-major order. Just bear in
|
|
|
|
+ mind that if you are reading the source code, you'll have to take the
|
|
|
|
+ [link:https://en.wikipedia.org/wiki/Transpose transpose] of any matrices
|
|
|
|
+ outlined here to make sense of the calculations.
|
|
|
|
+ </p>
|
|
|
|
+
|
|
|
|
+ <h2>Constructor</h2>
|
|
|
|
+
|
|
|
|
+ <h3>[name]( [param:Number n11], [param:Number n12],
|
|
|
|
+ [param:Number n21], [param:Number n22] )</h3>
|
|
|
|
+ <p>
|
|
|
|
+ Creates a 2x2 matrix with the given arguments in row-major order. If no arguments are provided, the constructor initializes
|
|
|
|
+ the [name] to the 3x3 [link:https://en.wikipedia.org/wiki/Identity_matrix identity matrix].
|
|
|
|
+ </p>
|
|
|
|
+
|
|
|
|
+ <h2>Properties</h2>
|
|
|
|
+
|
|
|
|
+ <h3>[property:Array elements]</h3>
|
|
|
|
+ <p>
|
|
|
|
+ A [link:https://en.wikipedia.org/wiki/Row-_and_column-major_order column-major] list of matrix values.
|
|
|
|
+ </p>
|
|
|
|
+
|
|
|
|
+ <h2>Methods</h2>
|
|
|
|
+
|
|
|
|
+ <h3>
|
|
|
|
+ [method:this fromArray]( [param:Array array], [param:Integer offset] )
|
|
|
|
+ </h3>
|
|
|
|
+ <p>
|
|
|
|
+ [page:Array array] - the array to read the elements from.<br />
|
|
|
|
+ [page:Integer offset] - (optional) index of first element in the array.
|
|
|
|
+ Default is `0`.<br /><br />
|
|
|
|
+
|
|
|
|
+ Sets the elements of this matrix based on an array in
|
|
|
|
+ [link:https://en.wikipedia.org/wiki/Row-_and_column-major_order#Column-major_order column-major] format.
|
|
|
|
+ </p>
|
|
|
|
+
|
|
|
|
+ <h3>[method:this identity]()</h3>
|
|
|
|
+ <p>
|
|
|
|
+ Resets this matrix to the 2x2 identity matrix:
|
|
|
|
+ </p>
|
|
|
|
+
|
|
|
|
+ <math display="block">
|
|
|
|
+ <mrow>
|
|
|
|
+ <mo>[</mo>
|
|
|
|
+ <mtable>
|
|
|
|
+ <mtr>
|
|
|
|
+ <mtd><mn>1</mn></mtd>
|
|
|
|
+ <mtd><mn>0</mn></mtd>
|
|
|
|
+ </mtr>
|
|
|
|
+ <mtr>
|
|
|
|
+ <mtd><mn>0</mn></mtd>
|
|
|
|
+ <mtd><mn>1</mn></mtd>
|
|
|
|
+ </mtr>
|
|
|
|
+ </mtable>
|
|
|
|
+ <mo>]</mo>
|
|
|
|
+ </mrow>
|
|
|
|
+ </math>
|
|
|
|
+
|
|
|
|
+ <h3>
|
|
|
|
+ [method:this set]( [param:Float n11], [param:Float n12], [param:Float n21], [param:Float n22] )
|
|
|
|
+ </h3>
|
|
|
|
+ <p>
|
|
|
|
+ Sets the 2x2 matrix values to the given
|
|
|
|
+ [link:https://en.wikipedia.org/wiki/Row-_and_column-major_order row-major]
|
|
|
|
+ sequence of values:
|
|
|
|
+ </p>
|
|
|
|
+
|
|
|
|
+ <math display="block">
|
|
|
|
+ <mrow>
|
|
|
|
+ <mo>[</mo>
|
|
|
|
+ <mtable>
|
|
|
|
+ <mtr>
|
|
|
|
+ <mtd><mi>n11</mi></mtd>
|
|
|
|
+ <mtd><mi>n12</mi></mtd>
|
|
|
|
+ </mtr>
|
|
|
|
+ <mtr>
|
|
|
|
+ <mtd><mi>n21</mi></mtd>
|
|
|
|
+ <mtd><mi>n22</mi></mtd>
|
|
|
|
+ </mtr>
|
|
|
|
+ </mtable>
|
|
|
|
+ <mo>]</mo>
|
|
|
|
+ </mrow>
|
|
|
|
+ </math>
|
|
|
|
+
|
|
|
|
+ <h2>Source</h2>
|
|
|
|
+
|
|
|
|
+ <p>
|
|
|
|
+ [link:https://github.com/mrdoob/three.js/blob/master/src/[path].js src/[path].js]
|
|
|
|
+ </p>
|
|
|
|
+ </body>
|
|
|
|
+</html>
|