/**
 * @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.
 */
///<reference path='./common.ts' />
var TSM;
(function (TSM) {
    var mat4 = (function () {
        function mat4(values) {
            if (values === void 0) { values = null = null; }
            this.values = new Float32Array(16);
            if (values) {
                this.init(values);
            }
        }
        mat4.frustum = function (left, right, bottom, top, near, far) {
            var rl = (right - left), tb = (top - bottom), fn = (far - near);
            return new mat4([
                (near * 2) / rl,
                0,
                0,
                0,
                0,
                (near * 2) / tb,
                0,
                0,
                (right + left) / rl,
                (top + bottom) / tb,
                -(far + near) / fn,
                -1,
                0,
                0,
                -(far * near * 2) / fn,
                0
            ]);
        };
        mat4.perspective = function (fov, aspect, near, far) {
            var top = near * Math.tan(fov * Math.PI / 360.0), right = top * aspect;
            return mat4.frustum(-right, right, -top, top, near, far);
        };
        mat4.orthographic = function (left, right, bottom, top, near, far) {
            var rl = (right - left), tb = (top - bottom), fn = (far - near);
            return new mat4([
                2 / rl,
                0,
                0,
                0,
                0,
                2 / tb,
                0,
                0,
                0,
                0,
                -2 / fn,
                0,
                -(left + right) / rl,
                -(top + bottom) / tb,
                -(far + near) / fn,
                1
            ]);
        };
        mat4.lookAt = function (position, target, up) {
            if (up === void 0) { up = TSM.vec3.up; }
            if (position.equals(target)) {
                return this.identity;
            }
            var z = TSM.vec3.difference(position, target).normalize();
            var x = TSM.vec3.cross(up, z).normalize();
            var y = TSM.vec3.cross(z, x).normalize();
            return new mat4([
                x.x,
                y.x,
                z.x,
                0,
                x.y,
                y.y,
                z.y,
                0,
                x.z,
                y.z,
                z.z,
                0,
                -TSM.vec3.dot(x, position),
                -TSM.vec3.dot(y, position),
                -TSM.vec3.dot(z, position),
                1
            ]);
        };
        mat4.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), a03 = m1.at(3), a10 = m1.at(4), a11 = m1.at(5), a12 = m1.at(6), a13 = m1.at(7), a20 = m1.at(8), a21 = m1.at(9), a22 = m1.at(10), a23 = m1.at(11), a30 = m1.at(12), a31 = m1.at(13), a32 = m1.at(14), a33 = m1.at(15);
            var b00 = m2.at(0), b01 = m2.at(1), b02 = m2.at(2), b03 = m2.at(3), b10 = m2.at(4), b11 = m2.at(5), b12 = m2.at(6), b13 = m2.at(7), b20 = m2.at(8), b21 = m2.at(9), b22 = m2.at(10), b23 = m2.at(11), b30 = m2.at(12), b31 = m2.at(13), b32 = m2.at(14), b33 = m2.at(15);
            if (result) {
                result.init([
                    b00 * a00 + b01 * a10 + b02 * a20 + b03 * a30,
                    b00 * a01 + b01 * a11 + b02 * a21 + b03 * a31,
                    b00 * a02 + b01 * a12 + b02 * a22 + b03 * a32,
                    b00 * a03 + b01 * a13 + b02 * a23 + b03 * a33,
                    b10 * a00 + b11 * a10 + b12 * a20 + b13 * a30,
                    b10 * a01 + b11 * a11 + b12 * a21 + b13 * a31,
                    b10 * a02 + b11 * a12 + b12 * a22 + b13 * a32,
                    b10 * a03 + b11 * a13 + b12 * a23 + b13 * a33,
                    b20 * a00 + b21 * a10 + b22 * a20 + b23 * a30,
                    b20 * a01 + b21 * a11 + b22 * a21 + b23 * a31,
                    b20 * a02 + b21 * a12 + b22 * a22 + b23 * a32,
                    b20 * a03 + b21 * a13 + b22 * a23 + b23 * a33,
                    b30 * a00 + b31 * a10 + b32 * a20 + b33 * a30,
                    b30 * a01 + b31 * a11 + b32 * a21 + b33 * a31,
                    b30 * a02 + b31 * a12 + b32 * a22 + b33 * a32,
                    b30 * a03 + b31 * a13 + b32 * a23 + b33 * a33
                ]);
                return result;
            }
            else {
                return new mat4([
                    b00 * a00 + b01 * a10 + b02 * a20 + b03 * a30,
                    b00 * a01 + b01 * a11 + b02 * a21 + b03 * a31,
                    b00 * a02 + b01 * a12 + b02 * a22 + b03 * a32,
                    b00 * a03 + b01 * a13 + b02 * a23 + b03 * a33,
                    b10 * a00 + b11 * a10 + b12 * a20 + b13 * a30,
                    b10 * a01 + b11 * a11 + b12 * a21 + b13 * a31,
                    b10 * a02 + b11 * a12 + b12 * a22 + b13 * a32,
                    b10 * a03 + b11 * a13 + b12 * a23 + b13 * a33,
                    b20 * a00 + b21 * a10 + b22 * a20 + b23 * a30,
                    b20 * a01 + b21 * a11 + b22 * a21 + b23 * a31,
                    b20 * a02 + b21 * a12 + b22 * a22 + b23 * a32,
                    b20 * a03 + b21 * a13 + b22 * a23 + b23 * a33,
                    b30 * a00 + b31 * a10 + b32 * a20 + b33 * a30,
                    b30 * a01 + b31 * a11 + b32 * a21 + b33 * a31,
                    b30 * a02 + b31 * a12 + b32 * a22 + b33 * a32,
                    b30 * a03 + b31 * a13 + b32 * a23 + b33 * a33
                ]);
            }
        };
        mat4.prototype.at = function (index) {
            return this.values[index];
        };
        mat4.prototype.init = function (values) {
            for (var i = 0; i < 16; i++) {
                this.values[i] = values[i];
            }
            return this;
        };
        mat4.prototype.reset = function () {
            for (var i = 0; i < 16; i++) {
                this.values[i] = 0;
            }
        };
        mat4.prototype.copy = function (dest) {
            if (dest === void 0) { dest = null = null; }
            if (!dest) {
                dest = new mat4();
            }
            for (var i = 0; i < 16; i++) {
                dest.values[i] = this.values[i];
            }
            return dest;
        };
        mat4.prototype.all = function () {
            var data = [];
            for (var i = 0; i < 16; i++) {
                data[i] = this.values[i];
            }
            return data;
        };
        mat4.prototype.row = function (index) {
            return [
                this.values[index * 4 + 0],
                this.values[index * 4 + 1],
                this.values[index * 4 + 2],
                this.values[index * 4 + 3]
            ];
        };
        mat4.prototype.col = function (index) {
            return [
                this.values[index],
                this.values[index + 4],
                this.values[index + 8],
                this.values[index + 12]
            ];
        };
        mat4.prototype.equals = function (matrix, threshold) {
            if (threshold === void 0) { threshold = EPSILON; }
            for (var i = 0; i < 16; i++) {
                if (Math.abs(this.values[i] - matrix.at(i)) > threshold) {
                    return false;
                }
            }
            return true;
        };
        mat4.prototype.determinant = function () {
            var a00 = this.values[0], a01 = this.values[1], a02 = this.values[2], a03 = this.values[3], a10 = this.values[4], a11 = this.values[5], a12 = this.values[6], a13 = this.values[7], a20 = this.values[8], a21 = this.values[9], a22 = this.values[10], a23 = this.values[11], a30 = this.values[12], a31 = this.values[13], a32 = this.values[14], a33 = this.values[15];
            var det00 = a00 * a11 - a01 * a10, det01 = a00 * a12 - a02 * a10, det02 = a00 * a13 - a03 * a10, det03 = a01 * a12 - a02 * a11, det04 = a01 * a13 - a03 * a11, det05 = a02 * a13 - a03 * a12, det06 = a20 * a31 - a21 * a30, det07 = a20 * a32 - a22 * a30, det08 = a20 * a33 - a23 * a30, det09 = a21 * a32 - a22 * a31, det10 = a21 * a33 - a23 * a31, det11 = a22 * a33 - a23 * a32;
            return (det00 * det11 - det01 * det10 + det02 * det09 + det03 * det08 - det04 * det07 + det05 * det06);
        };
        mat4.prototype.setIdentity = function () {
            this.values[0] = 1;
            this.values[1] = 0;
            this.values[2] = 0;
            this.values[3] = 0;
            this.values[4] = 0;
            this.values[5] = 1;
            this.values[6] = 0;
            this.values[7] = 0;
            this.values[8] = 0;
            this.values[9] = 0;
            this.values[10] = 1;
            this.values[11] = 0;
            this.values[12] = 0;
            this.values[13] = 0;
            this.values[14] = 0;
            this.values[15] = 1;
            return this;
        };
        mat4.prototype.transpose = ;
        mat4.identity = new mat4().setIdentity();
        return mat4;
    })();
    TSM.mat4 = mat4;
    {
        var temp01 = this.values[1], temp02 = this.values[2], temp03 = this.values[3], temp12 = this.values[6], temp13 = this.values[7], temp23 = this.values[11];
        this.values[1] = this.values[4];
        this.values[2] = this.values[8];
        this.values[3] = this.values[12];
        this.values[4] = temp01;
        this.values[6] = this.values[9];
        this.values[7] = this.values[13];
        this.values[8] = temp02;
        this.values[9] = temp12;
        this.values[11] = this.values[14];
        this.values[12] = temp03;
        this.values[13] = temp13;
        this.values[14] = temp23;
        return this;
    }
    inverse();
    mat4 | null;
    {
        var a00 = this.values[0], a01 = this.values[1], a02 = this.values[2], a03 = this.values[3], a10 = this.values[4], a11 = this.values[5], a12 = this.values[6], a13 = this.values[7], a20 = this.values[8], a21 = this.values[9], a22 = this.values[10], a23 = this.values[11], a30 = this.values[12], a31 = this.values[13], a32 = this.values[14], a33 = this.values[15];
        var det00 = a00 * a11 - a01 * a10, det01 = a00 * a12 - a02 * a10, det02 = a00 * a13 - a03 * a10, det03 = a01 * a12 - a02 * a11, det04 = a01 * a13 - a03 * a11, det05 = a02 * a13 - a03 * a12, det06 = a20 * a31 - a21 * a30, det07 = a20 * a32 - a22 * a30, det08 = a20 * a33 - a23 * a30, det09 = a21 * a32 - a22 * a31, det10 = a21 * a33 - a23 * a31, det11 = a22 * a33 - a23 * a32;
        var det = (det00 * det11 - det01 * det10 + det02 * det09 + det03 * det08 - det04 * det07 + det05 * det06);
        if (!det) {
            return null;
        }
        det = 1.0 / det;
        this.values[0] = (a11 * det11 - a12 * det10 + a13 * det09) * det;
        this.values[1] = (-a01 * det11 + a02 * det10 - a03 * det09) * det;
        this.values[2] = (a31 * det05 - a32 * det04 + a33 * det03) * det;
        this.values[3] = (-a21 * det05 + a22 * det04 - a23 * det03) * det;
        this.values[4] = (-a10 * det11 + a12 * det08 - a13 * det07) * det;
        this.values[5] = (a00 * det11 - a02 * det08 + a03 * det07) * det;
        this.values[6] = (-a30 * det05 + a32 * det02 - a33 * det01) * det;
        this.values[7] = (a20 * det05 - a22 * det02 + a23 * det01) * det;
        this.values[8] = (a10 * det10 - a11 * det08 + a13 * det06) * det;
        this.values[9] = (-a00 * det10 + a01 * det08 - a03 * det06) * det;
        this.values[10] = (a30 * det04 - a31 * det02 + a33 * det00) * det;
        this.values[11] = (-a20 * det04 + a21 * det02 - a23 * det00) * det;
        this.values[12] = (-a10 * det09 + a11 * det07 - a12 * det06) * det;
        this.values[13] = (a00 * det09 - a01 * det07 + a02 * det06) * det;
        this.values[14] = (-a30 * det03 + a31 * det01 - a32 * det00) * det;
        this.values[15] = (a20 * det03 - a21 * det01 + a22 * det00) * det;
        return this;
    }
    multiply(matrix, mat4);
    mat4;
    {
        var a00 = this.values[0], a01 = this.values[1], a02 = this.values[2], a03 = this.values[3];
        var a10 = this.values[4], a11 = this.values[5], a12 = this.values[6], a13 = this.values[7];
        var a20 = this.values[8], a21 = this.values[9], a22 = this.values[10], a23 = this.values[11];
        var a30 = this.values[12], a31 = this.values[13], a32 = this.values[14], a33 = this.values[15];
        var b0 = matrix.at(0), b1 = matrix.at(1), b2 = matrix.at(2), b3 = matrix.at(3);
        this.values[0] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30;
        this.values[1] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31;
        this.values[2] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32;
        this.values[3] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33;
        b0 = matrix.at(4);
        b1 = matrix.at(5);
        b2 = matrix.at(6);
        b3 = matrix.at(7);
        this.values[4] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30;
        this.values[5] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31;
        this.values[6] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32;
        this.values[7] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33;
        b0 = matrix.at(8);
        b1 = matrix.at(9);
        b2 = matrix.at(10);
        b3 = matrix.at(11);
        this.values[8] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30;
        this.values[9] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31;
        this.values[10] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32;
        this.values[11] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33;
        b0 = matrix.at(12);
        b1 = matrix.at(13);
        b2 = matrix.at(14);
        b3 = matrix.at(15);
        this.values[12] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30;
        this.values[13] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31;
        this.values[14] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32;
        this.values[15] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33;
        return this;
    }
    multiplyVec3(vector, TSM.vec3);
    TSM.vec3;
    {
        var x = vector.x, y = vector.y, z = vector.z;
        return new TSM.vec3([
            this.values[0] * x + this.values[4] * y + this.values[8] * z + this.values[12],
            this.values[1] * x + this.values[5] * y + this.values[9] * z + this.values[13],
            this.values[2] * x + this.values[6] * y + this.values[10] * z + this.values[14]
        ]);
    }
    multiplyVec4(vector, TSM.vec4, dest, TSM.vec4 | null, null);
    TSM.vec4;
    {
        if (!dest) {
            dest = new TSM.vec4();
        }
        var x = vector.x, y = vector.y, z = vector.z, w = vector.w;
        dest.x = this.values[0] * x + this.values[4] * y + this.values[8] * z + this.values[12] * w;
        dest.y = this.values[1] * x + this.values[5] * y + this.values[9] * z + this.values[13] * w;
        dest.z = this.values[2] * x + this.values[6] * y + this.values[10] * z + this.values[14] * w;
        dest.w = this.values[3] * x + this.values[7] * y + this.values[11] * z + this.values[15] * w;
        return dest;
    }
    toMat3();
    TSM.mat3;
    {
        return new TSM.mat3([
            this.values[0],
            this.values[1],
            this.values[2],
            this.values[4],
            this.values[5],
            this.values[6],
            this.values[8],
            this.values[9],
            this.values[10]
        ]);
    }
    toInverseMat3();
    TSM.mat3 | null;
    {
        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 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;
        return new TSM.mat3([
            det01 * det,
            (-a22 * a01 + a02 * a21) * det,
            (a12 * a01 - a02 * a11) * det,
            det11 * det,
            (a22 * a00 - a02 * a20) * det,
            (-a12 * a00 + a02 * a10) * det,
            det21 * det,
            (-a21 * a00 + a01 * a20) * det,
            (a11 * a00 - a01 * a10) * det
        ]);
    }
    translate(vector, TSM.vec3);
    mat4;
    {
        var x = vector.x, y = vector.y, z = vector.z;
        this.values[12] += this.values[0] * x + this.values[4] * y + this.values[8] * z;
        this.values[13] += this.values[1] * x + this.values[5] * y + this.values[9] * z;
        this.values[14] += this.values[2] * x + this.values[6] * y + this.values[10] * z;
        this.values[15] += this.values[3] * x + this.values[7] * y + this.values[11] * z;
        return this;
    }
    scale(vector, TSM.vec3);
    mat4;
    {
        var x = vector.x, y = vector.y, z = vector.z;
        this.values[0] *= x;
        this.values[1] *= x;
        this.values[2] *= x;
        this.values[3] *= x;
        this.values[4] *= y;
        this.values[5] *= y;
        this.values[6] *= y;
        this.values[7] *= y;
        this.values[8] *= z;
        this.values[9] *= z;
        this.values[10] *= z;
        this.values[11] *= z;
        return this;
    }
    rotate(angle, number, axis, TSM.vec3);
    mat4 | 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], a03 = this.values[3], a10 = this.values[4], a11 = this.values[5], a12 = this.values[6], a13 = this.values[7], a20 = this.values[8], a21 = this.values[9], a22 = this.values[10], a23 = this.values[11];
        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] = a03 * b00 + a13 * b01 + a23 * b02;
        this.values[4] = a00 * b10 + a10 * b11 + a20 * b12;
        this.values[5] = a01 * b10 + a11 * b11 + a21 * b12;
        this.values[6] = a02 * b10 + a12 * b11 + a22 * b12;
        this.values[7] = a03 * b10 + a13 * b11 + a23 * b12;
        this.values[8] = a00 * b20 + a10 * b21 + a20 * b22;
        this.values[9] = a01 * b20 + a11 * b21 + a21 * b22;
        this.values[10] = a02 * b20 + a12 * b21 + a22 * b22;
        this.values[11] = a03 * b20 + a13 * b21 + a23 * b22;
        return this;
    }
})(TSM || (TSM = {}));