新增Matrix2D.toMatrix/Matrix类
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yhh
91
source/src/Math/Matrix.ts
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91
source/src/Math/Matrix.ts
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module es {
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/**
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* 代表右手4x4浮点矩阵，可以存储平移、比例和旋转信息
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*/
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export class Matrix {
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public m11: number;
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public m12: number;
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public m13: number;
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public m14: number;
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public m21: number;
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public m22: number;
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public m23: number;
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public m24: number;
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public m31: number;
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public m32: number;
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public m33: number;
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public m34: number;
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public m41: number;
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public m42: number;
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public m43: number;
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public m44: number;
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/**
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* 为自定义的正交视图创建一个新的投影矩阵
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* @param left
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* @param right
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* @param top
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* @param zFarPlane
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* @param result
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*/
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public static createOrthographicOffCenter(left: number, right: number, bottom: number, top: number, zNearPlane: number, zFarPlane: number, result: Matrix = new Matrix()) {
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result.m11 = 2 / (right - left);
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result.m12 = 0;
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result.m13 = 0;
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result.m14 = 0;
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result.m21 = 0;
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result.m22 = 2 / (top - bottom);
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result.m23 = 0;
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result.m24 = 0;
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result.m31 = 0;
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result.m32 = 0;
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result.m33 = 1 / (zNearPlane - zFarPlane);
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result.m34 = 0;
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result.m41 = (left + right) / (left - right);
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result.m42 = (top + bottom) / (bottom - top);
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result.m43 = zNearPlane / (zNearPlane - zFarPlane);
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result.m44 = 1;
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}
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/**
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* 创建一个新的矩阵，其中包含两个矩阵的乘法。
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* @param matrix1
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* @param matrix2
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* @param result
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*/
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public static multiply(matrix1: Matrix, matrix2: Matrix, result: Matrix = new Matrix()) {
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let m11 = (((matrix1.m11 * matrix2.m11) + (matrix1.m12 * matrix2.m21)) + (matrix1.m13 * matrix2.m31)) + (matrix1.m14 * matrix2.m41);
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let m12 = (((matrix1.m11 * matrix2.m12) + (matrix1.m12 * matrix2.m22)) + (matrix1.m13 * matrix2.m32)) + (matrix1.m14 * matrix2.m42);
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let m13 = (((matrix1.m11 * matrix2.m13) + (matrix1.m12 * matrix2.m23)) + (matrix1.m13 * matrix2.m33)) + (matrix1.m14 * matrix2.m43);
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let m14 = (((matrix1.m11 * matrix2.m14) + (matrix1.m12 * matrix2.m24)) + (matrix1.m13 * matrix2.m34)) + (matrix1.m14 * matrix2.m44);
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let m21 = (((matrix1.m21 * matrix2.m11) + (matrix1.m22 * matrix2.m21)) + (matrix1.m23 * matrix2.m31)) + (matrix1.m24 * matrix2.m41);
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let m22 = (((matrix1.m21 * matrix2.m12) + (matrix1.m22 * matrix2.m22)) + (matrix1.m23 * matrix2.m32)) + (matrix1.m24 * matrix2.m42);
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let m23 = (((matrix1.m21 * matrix2.m13) + (matrix1.m22 * matrix2.m23)) + (matrix1.m23 * matrix2.m33)) + (matrix1.m24 * matrix2.m43);
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let m24 = (((matrix1.m21 * matrix2.m14) + (matrix1.m22 * matrix2.m24)) + (matrix1.m23 * matrix2.m34)) + (matrix1.m24 * matrix2.m44);
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let m31 = (((matrix1.m31 * matrix2.m11) + (matrix1.m32 * matrix2.m21)) + (matrix1.m33 * matrix2.m31)) + (matrix1.m34 * matrix2.m41);
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let m32 = (((matrix1.m31 * matrix2.m12) + (matrix1.m32 * matrix2.m22)) + (matrix1.m33 * matrix2.m32)) + (matrix1.m34 * matrix2.m42);
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let m33 = (((matrix1.m31 * matrix2.m13) + (matrix1.m32 * matrix2.m23)) + (matrix1.m33 * matrix2.m33)) + (matrix1.m34 * matrix2.m43);
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let m34 = (((matrix1.m31 * matrix2.m14) + (matrix1.m32 * matrix2.m24)) + (matrix1.m33 * matrix2.m34)) + (matrix1.m34 * matrix2.m44);
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let m41 = (((matrix1.m41 * matrix2.m11) + (matrix1.m42 * matrix2.m21)) + (matrix1.m43 * matrix2.m31)) + (matrix1.m44 * matrix2.m41);
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let m42 = (((matrix1.m41 * matrix2.m12) + (matrix1.m42 * matrix2.m22)) + (matrix1.m43 * matrix2.m32)) + (matrix1.m44 * matrix2.m42);
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let m43 = (((matrix1.m41 * matrix2.m13) + (matrix1.m42 * matrix2.m23)) + (matrix1.m43 * matrix2.m33)) + (matrix1.m44 * matrix2.m43);
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let m44 = (((matrix1.m41 * matrix2.m14) + (matrix1.m42 * matrix2.m24)) + (matrix1.m43 * matrix2.m34)) + (matrix1.m44 * matrix2.m44);
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result.m11 = m11;
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result.m12 = m12;
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result.m13 = m13;
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result.m14 = m14;
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result.m21 = m21;
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result.m22 = m22;
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result.m23 = m23;
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result.m24 = m24;
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result.m31 = m31;
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result.m32 = m32;
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result.m33 = m33;
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result.m34 = m34;
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result.m41 = m41;
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result.m42 = m42;
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result.m43 = m43;
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result.m44 = m44;
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}
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}
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}
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@@ -280,6 +280,27 @@ module es {
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return this == other;
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}
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public static toMatrix(mat: Matrix2D) {
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let matrix = new Matrix();
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matrix.m11 = mat.m11;
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matrix.m12 = mat.m12;
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matrix.m13 = 0;
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matrix.m14 = 0;
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matrix.m21 = mat.m21;
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matrix.m22 = mat.m22;
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matrix.m23 = 0;
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matrix.m24 = 0;
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matrix.m31 = 0;
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matrix.m32 = 0;
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matrix.m33 = 1;
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matrix.m34 = 0;
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matrix.m41 = mat.m31;
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matrix.m42 = mat.m32;
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matrix.m43 = 0;
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matrix.m44 = 1;
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return matrix;
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}
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public toString() {
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return `{m11:${this.m11} m12:${this.m12} m21:${this.m21} m22:${this.m22} m31:${this.m31} m32:${this.m32}}`
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}
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@@ -255,7 +255,7 @@ module es {
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*/
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public loadRectangleBoundaries(){
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this.addSegment(new Vector2(this._origin.x - this._radius, this._origin.y - this._radius),
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new Vector2(this._origin.x + this._radius, this._origin.y - this._radius);
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new Vector2(this._origin.x + this._radius, this._origin.y - this._radius));
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this.addSegment(new Vector2(this._origin.x - this._radius, this._origin.y + this._radius),
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new Vector2(this._origin.x + this._radius, this._origin.y + this._radius));
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this.addSegment(new Vector2(this._origin.x - this._radius, this._origin.y - this._radius),
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