module es { /** * 代表右手4x4浮点矩阵,可以存储平移、比例和旋转信息 */ export class Matrix { public m11: number; public m12: number; public m13: number; public m14: number; public m21: number; public m22: number; public m23: number; public m24: number; public m31: number; public m32: number; public m33: number; public m34: number; public m41: number; public m42: number; public m43: number; public m44: number; /** * 为自定义的正交视图创建一个新的投影矩阵 * @param left * @param right * @param top * @param zFarPlane * @param result */ public static createOrthographicOffCenter(left: number, right: number, bottom: number, top: number, zNearPlane: number, zFarPlane: number, result: Matrix = new Matrix()) { result.m11 = 2 / (right - left); result.m12 = 0; result.m13 = 0; result.m14 = 0; result.m21 = 0; result.m22 = 2 / (top - bottom); result.m23 = 0; result.m24 = 0; result.m31 = 0; result.m32 = 0; result.m33 = 1 / (zNearPlane - zFarPlane); result.m34 = 0; result.m41 = (left + right) / (left - right); result.m42 = (top + bottom) / (bottom - top); result.m43 = zNearPlane / (zNearPlane - zFarPlane); result.m44 = 1; } /** * 创建一个新的矩阵,其中包含两个矩阵的乘法。 * @param matrix1 * @param matrix2 * @param result */ public static multiply(matrix1: Matrix, matrix2: Matrix, result: Matrix = new Matrix()) { let m11 = (((matrix1.m11 * matrix2.m11) + (matrix1.m12 * matrix2.m21)) + (matrix1.m13 * matrix2.m31)) + (matrix1.m14 * matrix2.m41); let m12 = (((matrix1.m11 * matrix2.m12) + (matrix1.m12 * matrix2.m22)) + (matrix1.m13 * matrix2.m32)) + (matrix1.m14 * matrix2.m42); let m13 = (((matrix1.m11 * matrix2.m13) + (matrix1.m12 * matrix2.m23)) + (matrix1.m13 * matrix2.m33)) + (matrix1.m14 * matrix2.m43); let m14 = (((matrix1.m11 * matrix2.m14) + (matrix1.m12 * matrix2.m24)) + (matrix1.m13 * matrix2.m34)) + (matrix1.m14 * matrix2.m44); let m21 = (((matrix1.m21 * matrix2.m11) + (matrix1.m22 * matrix2.m21)) + (matrix1.m23 * matrix2.m31)) + (matrix1.m24 * matrix2.m41); let m22 = (((matrix1.m21 * matrix2.m12) + (matrix1.m22 * matrix2.m22)) + (matrix1.m23 * matrix2.m32)) + (matrix1.m24 * matrix2.m42); let m23 = (((matrix1.m21 * matrix2.m13) + (matrix1.m22 * matrix2.m23)) + (matrix1.m23 * matrix2.m33)) + (matrix1.m24 * matrix2.m43); let m24 = (((matrix1.m21 * matrix2.m14) + (matrix1.m22 * matrix2.m24)) + (matrix1.m23 * matrix2.m34)) + (matrix1.m24 * matrix2.m44); let m31 = (((matrix1.m31 * matrix2.m11) + (matrix1.m32 * matrix2.m21)) + (matrix1.m33 * matrix2.m31)) + (matrix1.m34 * matrix2.m41); let m32 = (((matrix1.m31 * matrix2.m12) + (matrix1.m32 * matrix2.m22)) + (matrix1.m33 * matrix2.m32)) + (matrix1.m34 * matrix2.m42); let m33 = (((matrix1.m31 * matrix2.m13) + (matrix1.m32 * matrix2.m23)) + (matrix1.m33 * matrix2.m33)) + (matrix1.m34 * matrix2.m43); let m34 = (((matrix1.m31 * matrix2.m14) + (matrix1.m32 * matrix2.m24)) + (matrix1.m33 * matrix2.m34)) + (matrix1.m34 * matrix2.m44); let m41 = (((matrix1.m41 * matrix2.m11) + (matrix1.m42 * matrix2.m21)) + (matrix1.m43 * matrix2.m31)) + (matrix1.m44 * matrix2.m41); let m42 = (((matrix1.m41 * matrix2.m12) + (matrix1.m42 * matrix2.m22)) + (matrix1.m43 * matrix2.m32)) + (matrix1.m44 * matrix2.m42); let m43 = (((matrix1.m41 * matrix2.m13) + (matrix1.m42 * matrix2.m23)) + (matrix1.m43 * matrix2.m33)) + (matrix1.m44 * matrix2.m43); let m44 = (((matrix1.m41 * matrix2.m14) + (matrix1.m42 * matrix2.m24)) + (matrix1.m43 * matrix2.m34)) + (matrix1.m44 * matrix2.m44); result.m11 = m11; result.m12 = m12; result.m13 = m13; result.m14 = m14; result.m21 = m21; result.m22 = m22; result.m23 = m23; result.m24 = m24; result.m31 = m31; result.m32 = m32; result.m33 = m33; result.m34 = m34; result.m41 = m41; result.m42 = m42; result.m43 = m43; result.m44 = m44; } } }