153 lines
6.2 KiB
TypeScript
153 lines
6.2 KiB
TypeScript
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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private static identity = new Matrix(1, 0, 0, 0,
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0, 1, 0, 0,
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0, 0, 1, 0,
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0, 0, 0, 1);
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public static get Identity() {
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return this.identity;
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}
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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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constructor(m11?, m12?, m13?, m14?, m21?, m22?, m23?, m24?, m31?,
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m32?, m33?, m34?, m41?, m42?, m43?, m44?) {
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this.m11 = m11;
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this.m12 = m12;
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this.m13 = m13;
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this.m14 = m14;
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this.m21 = m21;
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this.m22 = m22;
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this.m23 = m23;
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this.m24 = m24;
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this.m31 = m31;
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this.m32 = m32;
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this.m33 = m33;
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this.m34 = m34;
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this.m41 = m41;
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this.m42 = m42;
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this.m43 = m43;
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this.m44 = m44;
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}
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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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public static createTranslation(position: Vector2, result: Matrix)
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{
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result.m11 = 1;
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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 = 1;
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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;
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result.m34 = 0;
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result.m41 = position.x;
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result.m42 = position.y;
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result.m43 = 0;
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result.m44 = 1;
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}
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public static createRotationZ(radians: number, result: Matrix)
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{
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result = Matrix.Identity;
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var val1 = Math.cos(radians);
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var val2 = Math.sin(radians);
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result.m11 = val1;
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result.m12 = val2;
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result.m21 = -val2;
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result.m22 = val1;
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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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} |