/** * @fileoverview TSM - A TypeScript vector and matrix math library * @author Matthias Ferch * @version 0.6 */ /* * Copyright (c) 2012 Matthias Ferch * * Project homepage: https://github.com/matthiasferch/tsm * * This software is provided 'as-is', without any express or implied * warranty. In no event will the authors be held liable for any damages * arising from the use of this software. * * Permission is granted to anyone to use this software for any purpose, * including commercial applications, and to alter it and redistribute it * freely, subject to the following restrictions: * * 1. The origin of this software must not be misrepresented; you must not * claim that you wrote the original software. If you use this software * in a product, an acknowledgment in the product documentation would be * appreciated but is not required. * * 2. Altered source versions must be plainly marked as such, and must not * be misrepresented as being the original software. * * 3. This notice may not be removed or altered from any source * distribution. */ /// var TSM; (function (TSM) { var mat3 = (function () { function mat3(values) { if (values === void 0) { values = null = null; } this.values = new Float32Array(9); if (values) { this.init(values); } } mat3.product = function (m1, m2, result) { if (result === void 0) { result = null = null; } var a00 = m1.at(0), a01 = m1.at(1), a02 = m1.at(2), a10 = m1.at(3), a11 = m1.at(4), a12 = m1.at(5), a20 = m1.at(6), a21 = m1.at(7), a22 = m1.at(8); var b00 = m2.at(0), b01 = m2.at(1), b02 = m2.at(2), b10 = m2.at(3), b11 = m2.at(4), b12 = m2.at(5), b20 = m2.at(6), b21 = m2.at(7), b22 = m2.at(8); if (result) { result.init([ b00 * a00 + b01 * a10 + b02 * a20, b00 * a01 + b01 * a11 + b02 * a21, b00 * a02 + b01 * a12 + b02 * a22, b10 * a00 + b11 * a10 + b12 * a20, b10 * a01 + b11 * a11 + b12 * a21, b10 * a02 + b11 * a12 + b12 * a22, b20 * a00 + b21 * a10 + b22 * a20, b20 * a01 + b21 * a11 + b22 * a21, b20 * a02 + b21 * a12 + b22 * a22 ]); return result; } else { return new mat3([ b00 * a00 + b01 * a10 + b02 * a20, b00 * a01 + b01 * a11 + b02 * a21, b00 * a02 + b01 * a12 + b02 * a22, b10 * a00 + b11 * a10 + b12 * a20, b10 * a01 + b11 * a11 + b12 * a21, b10 * a02 + b11 * a12 + b12 * a22, b20 * a00 + b21 * a10 + b22 * a20, b20 * a01 + b21 * a11 + b22 * a21, b20 * a02 + b21 * a12 + b22 * a22 ]); } }; mat3.prototype.at = function (index) { return this.values[index]; }; mat3.prototype.init = function (values) { for (var i = 0; i < 9; i++) { this.values[i] = values[i]; } return this; }; mat3.prototype.reset = function () { for (var i = 0; i < 9; i++) { this.values[i] = 0; } }; mat3.prototype.copy = function (dest) { if (dest === void 0) { dest = null = null; } if (!dest) { dest = new mat3(); } for (var i = 0; i < 9; i++) { dest.values[i] = this.values[i]; } return dest; }; mat3.prototype.all = function () { var data = []; for (var i = 0; i < 9; i++) { data[i] = this.values[i]; } return data; }; mat3.prototype.row = function (index) { return [ this.values[index * 3 + 0], this.values[index * 3 + 1], this.values[index * 3 + 2] ]; }; mat3.prototype.col = function (index) { return [ this.values[index], this.values[index + 3], this.values[index + 6] ]; }; mat3.prototype.equals = function (matrix, threshold) { if (threshold === void 0) { threshold = EPSILON; } for (var i = 0; i < 9; i++) { if (Math.abs(this.values[i] - matrix.at(i)) > threshold) { return false; } } return true; }; mat3.prototype.determinant = function () { var a00 = this.values[0], a01 = this.values[1], a02 = this.values[2], a10 = this.values[3], a11 = this.values[4], a12 = this.values[5], a20 = this.values[6], a21 = this.values[7], a22 = this.values[8]; var det01 = a22 * a11 - a12 * a21, det11 = -a22 * a10 + a12 * a20, det21 = a21 * a10 - a11 * a20; return a00 * det01 + a01 * det11 + a02 * det21; }; mat3.prototype.setIdentity = function () { this.values[0] = 1; this.values[1] = 0; this.values[2] = 0; this.values[3] = 0; this.values[4] = 1; this.values[5] = 0; this.values[6] = 0; this.values[7] = 0; this.values[8] = 1; return this; }; mat3.prototype.transpose = function () { var temp01 = this.values[1], temp02 = this.values[2], temp12 = this.values[5]; this.values[1] = this.values[3]; this.values[2] = this.values[6]; this.values[3] = temp01; this.values[5] = this.values[7]; this.values[6] = temp02; this.values[7] = temp12; return this; }; mat3.prototype.inverse = ; mat3.identity = new mat3().setIdentity(); return mat3; })(); TSM.mat3 = mat3; { var a00 = this.values[0], a01 = this.values[1], a02 = this.values[2], a10 = this.values[3], a11 = this.values[4], a12 = this.values[5], a20 = this.values[6], a21 = this.values[7], a22 = this.values[8]; var det01 = a22 * a11 - a12 * a21, det11 = -a22 * a10 + a12 * a20, det21 = a21 * a10 - a11 * a20; var det = a00 * det01 + a01 * det11 + a02 * det21; if (!det) { return null; } det = 1.0 / det; this.values[0] = det01 * det; this.values[1] = (-a22 * a01 + a02 * a21) * det; this.values[2] = (a12 * a01 - a02 * a11) * det; this.values[3] = det11 * det; this.values[4] = (a22 * a00 - a02 * a20) * det; this.values[5] = (-a12 * a00 + a02 * a10) * det; this.values[6] = det21 * det; this.values[7] = (-a21 * a00 + a01 * a20) * det; this.values[8] = (a11 * a00 - a01 * a10) * det; return this; } multiply(matrix, mat3); mat3; { var a00 = this.values[0], a01 = this.values[1], a02 = this.values[2], a10 = this.values[3], a11 = this.values[4], a12 = this.values[5], a20 = this.values[6], a21 = this.values[7], a22 = this.values[8]; var b00 = matrix.at(0), b01 = matrix.at(1), b02 = matrix.at(2), b10 = matrix.at(3), b11 = matrix.at(4), b12 = matrix.at(5), b20 = matrix.at(6), b21 = matrix.at(7), b22 = matrix.at(8); this.values[0] = b00 * a00 + b01 * a10 + b02 * a20; this.values[1] = b00 * a01 + b01 * a11 + b02 * a21; this.values[2] = b00 * a02 + b01 * a12 + b02 * a22; this.values[3] = b10 * a00 + b11 * a10 + b12 * a20; this.values[4] = b10 * a01 + b11 * a11 + b12 * a21; this.values[5] = b10 * a02 + b11 * a12 + b12 * a22; this.values[6] = b20 * a00 + b21 * a10 + b22 * a20; this.values[7] = b20 * a01 + b21 * a11 + b22 * a21; this.values[8] = b20 * a02 + b21 * a12 + b22 * a22; return this; } multiplyVec2(vector, TSM.vec2, result, TSM.vec2 | null, null); TSM.vec2; { var x = vector.x, y = vector.y; if (result) { result.xy = [ x * this.values[0] + y * this.values[3] + this.values[6], x * this.values[1] + y * this.values[4] + this.values[7] ]; return result; } else { return new TSM.vec2([ x * this.values[0] + y * this.values[3] + this.values[6], x * this.values[1] + y * this.values[4] + this.values[7] ]); } } multiplyVec3(vector, TSM.vec3, result, TSM.vec3 | null, null); TSM.vec3; { var x = vector.x, y = vector.y, z = vector.z; if (result) { result.xyz = [ x * this.values[0] + y * this.values[3] + z * this.values[6], x * this.values[1] + y * this.values[4] + z * this.values[7], x * this.values[2] + y * this.values[5] + z * this.values[8] ]; return result; } else { return new TSM.vec3([ x * this.values[0] + y * this.values[3] + z * this.values[6], x * this.values[1] + y * this.values[4] + z * this.values[7], x * this.values[2] + y * this.values[5] + z * this.values[8] ]); } } toMat4(result, TSM.mat4 | null, null); TSM.mat4; { if (result) { result.init([ this.values[0], this.values[1], this.values[2], 0, this.values[3], this.values[4], this.values[5], 0, this.values[6], this.values[7], this.values[8], 0, 0, 0, 0, 1 ]); return result; } else { return new TSM.mat4([ this.values[0], this.values[1], this.values[2], 0, this.values[3], this.values[4], this.values[5], 0, this.values[6], this.values[7], this.values[8], 0, 0, 0, 0, 1 ]); } } toQuat(); TSM.quat; { var m00 = this.values[0], m01 = this.values[1], m02 = this.values[2], m10 = this.values[3], m11 = this.values[4], m12 = this.values[5], m20 = this.values[6], m21 = this.values[7], m22 = this.values[8]; var fourXSquaredMinus1 = m00 - m11 - m22; var fourYSquaredMinus1 = m11 - m00 - m22; var fourZSquaredMinus1 = m22 - m00 - m11; var fourWSquaredMinus1 = m00 + m11 + m22; var biggestIndex = 0; var fourBiggestSquaredMinus1 = fourWSquaredMinus1; if (fourXSquaredMinus1 > fourBiggestSquaredMinus1) { fourBiggestSquaredMinus1 = fourXSquaredMinus1; biggestIndex = 1; } if (fourYSquaredMinus1 > fourBiggestSquaredMinus1) { fourBiggestSquaredMinus1 = fourYSquaredMinus1; biggestIndex = 2; } if (fourZSquaredMinus1 > fourBiggestSquaredMinus1) { fourBiggestSquaredMinus1 = fourZSquaredMinus1; biggestIndex = 3; } var biggestVal = Math.sqrt(fourBiggestSquaredMinus1 + 1) * 0.5; var mult = 0.25 / biggestVal; var result = new TSM.quat(); switch (biggestIndex) { case 0: result.w = biggestVal; result.x = (m12 - m21) * mult; result.y = (m20 - m02) * mult; result.z = (m01 - m10) * mult; break; case 1: result.w = (m12 - m21) * mult; result.x = biggestVal; result.y = (m01 + m10) * mult; result.z = (m20 + m02) * mult; break; case 2: result.w = (m20 - m02) * mult; result.x = (m01 + m10) * mult; result.y = biggestVal; result.z = (m12 + m21) * mult; break; case 3: result.w = (m01 - m10) * mult; result.x = (m20 + m02) * mult; result.y = (m12 + m21) * mult; result.z = biggestVal; break; } return result; } rotate(angle, number, axis, TSM.vec3); mat3 | null; { var x = axis.x, y = axis.y, z = axis.z; var length_1 = Math.sqrt(x * x + y * y + z * z); if (!length_1) { return null; } if (length_1 !== 1) { length_1 = 1 / length_1; x *= length_1; y *= length_1; z *= length_1; } var s = Math.sin(angle); var c = Math.cos(angle); var t = 1.0 - c; var a00 = this.values[0], a01 = this.values[1], a02 = this.values[2], a10 = this.values[4], a11 = this.values[5], a12 = this.values[6], a20 = this.values[8], a21 = this.values[9], a22 = this.values[10]; var b00 = x * x * t + c, b01 = y * x * t + z * s, b02 = z * x * t - y * s, b10 = x * y * t - z * s, b11 = y * y * t + c, b12 = z * y * t + x * s, b20 = x * z * t + y * s, b21 = y * z * t - x * s, b22 = z * z * t + c; this.values[0] = a00 * b00 + a10 * b01 + a20 * b02; this.values[1] = a01 * b00 + a11 * b01 + a21 * b02; this.values[2] = a02 * b00 + a12 * b01 + a22 * b02; this.values[3] = a00 * b10 + a10 * b11 + a20 * b12; this.values[4] = a01 * b10 + a11 * b11 + a21 * b12; this.values[5] = a02 * b10 + a12 * b11 + a22 * b12; this.values[6] = a00 * b20 + a10 * b21 + a20 * b22; this.values[7] = a01 * b20 + a11 * b21 + a21 * b22; this.values[8] = a02 * b20 + a12 * b21 + a22 * b22; return this; } })(TSM || (TSM = {}));