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-/* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved.
-
-Redistribution and use in source and binary forms, with or without modification,
-are permitted provided that the following conditions are met:
-
- * Redistributions of source code must retain the above copyright notice, this
- list of conditions and the following disclaimer.
- * Redistributions in binary form must reproduce the above copyright notice,
- this list of conditions and the following disclaimer in the documentation
- and/or other materials provided with the distribution.
-
-THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
-ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
-WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
-DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR
-ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
-(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
-ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
-(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
-SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
-
-/**
- * @class 2x3 Matrix
- * @name mat2d
- *
- * @description
- * A mat2d contains six elements defined as:
- * <pre>
- * [a, b,
- * c, d,
- * tx,ty]
- * </pre>
- * This is a short form for the 3x3 matrix:
- * <pre>
- * [a, b, 0
- * c, d, 0
- * tx,ty,1]
- * </pre>
- * The last column is ignored so the array is shorter and operations are faster.
- */
-var mat2d = {};
-
-/**
- * Creates a new identity mat2d
- *
- * @returns {mat2d} a new 2x3 matrix
- */
-mat2d.create = function() {
- var out = new GLMAT_ARRAY_TYPE(6);
- out[0] = 1;
- out[1] = 0;
- out[2] = 0;
- out[3] = 1;
- out[4] = 0;
- out[5] = 0;
- return out;
-};
-
-/**
- * Creates a new mat2d initialized with values from an existing matrix
- *
- * @param {mat2d} a matrix to clone
- * @returns {mat2d} a new 2x3 matrix
- */
-mat2d.clone = function(a) {
- var out = new GLMAT_ARRAY_TYPE(6);
- out[0] = a[0];
- out[1] = a[1];
- out[2] = a[2];
- out[3] = a[3];
- out[4] = a[4];
- out[5] = a[5];
- return out;
-};
-
-/**
- * Copy the values from one mat2d to another
- *
- * @param {mat2d} out the receiving matrix
- * @param {mat2d} a the source matrix
- * @returns {mat2d} out
- */
-mat2d.copy = function(out, a) {
- out[0] = a[0];
- out[1] = a[1];
- out[2] = a[2];
- out[3] = a[3];
- out[4] = a[4];
- out[5] = a[5];
- return out;
-};
-
-/**
- * Set a mat2d to the identity matrix
- *
- * @param {mat2d} out the receiving matrix
- * @returns {mat2d} out
- */
-mat2d.identity = function(out) {
- out[0] = 1;
- out[1] = 0;
- out[2] = 0;
- out[3] = 1;
- out[4] = 0;
- out[5] = 0;
- return out;
-};
-
-/**
- * Inverts a mat2d
- *
- * @param {mat2d} out the receiving matrix
- * @param {mat2d} a the source matrix
- * @returns {mat2d} out
- */
-mat2d.invert = function(out, a) {
- var aa = a[0], ab = a[1], ac = a[2], ad = a[3],
- atx = a[4], aty = a[5];
-
- var det = aa * ad - ab * ac;
- if(!det){
- return null;
- }
- det = 1.0 / det;
-
- out[0] = ad * det;
- out[1] = -ab * det;
- out[2] = -ac * det;
- out[3] = aa * det;
- out[4] = (ac * aty - ad * atx) * det;
- out[5] = (ab * atx - aa * aty) * det;
- return out;
-};
-
-/**
- * Calculates the determinant of a mat2d
- *
- * @param {mat2d} a the source matrix
- * @returns {Number} determinant of a
- */
-mat2d.determinant = function (a) {
- return a[0] * a[3] - a[1] * a[2];
-};
-
-/**
- * Multiplies two mat2d's
- *
- * @param {mat2d} out the receiving matrix
- * @param {mat2d} a the first operand
- * @param {mat2d} b the second operand
- * @returns {mat2d} out
- */
-mat2d.multiply = function (out, a, b) {
- var aa = a[0], ab = a[1], ac = a[2], ad = a[3],
- atx = a[4], aty = a[5],
- ba = b[0], bb = b[1], bc = b[2], bd = b[3],
- btx = b[4], bty = b[5];
-
- out[0] = aa*ba + ab*bc;
- out[1] = aa*bb + ab*bd;
- out[2] = ac*ba + ad*bc;
- out[3] = ac*bb + ad*bd;
- out[4] = ba*atx + bc*aty + btx;
- out[5] = bb*atx + bd*aty + bty;
- return out;
-};
-
-/**
- * Alias for {@link mat2d.multiply}
- * @function
- */
-mat2d.mul = mat2d.multiply;
-
-
-/**
- * Rotates a mat2d by the given angle
- *
- * @param {mat2d} out the receiving matrix
- * @param {mat2d} a the matrix to rotate
- * @param {Number} rad the angle to rotate the matrix by
- * @returns {mat2d} out
- */
-mat2d.rotate = function (out, a, rad) {
- var aa = a[0],
- ab = a[1],
- ac = a[2],
- ad = a[3],
- atx = a[4],
- aty = a[5],
- st = Math.sin(rad),
- ct = Math.cos(rad);
-
- out[0] = aa*ct + ab*st;
- out[1] = -aa*st + ab*ct;
- out[2] = ac*ct + ad*st;
- out[3] = -ac*st + ct*ad;
- out[4] = ct*atx + st*aty;
- out[5] = ct*aty - st*atx;
- return out;
-};
-
-/**
- * Scales the mat2d by the dimensions in the given vec2
- *
- * @param {mat2d} out the receiving matrix
- * @param {mat2d} a the matrix to translate
- * @param {mat2d} v the vec2 to scale the matrix by
- * @returns {mat2d} out
- **/
-mat2d.scale = function(out, a, v) {
- var vx = v[0], vy = v[1];
- out[0] = a[0] * vx;
- out[1] = a[1] * vy;
- out[2] = a[2] * vx;
- out[3] = a[3] * vy;
- out[4] = a[4] * vx;
- out[5] = a[5] * vy;
- return out;
-};
-
-/**
- * Translates the mat2d by the dimensions in the given vec2
- *
- * @param {mat2d} out the receiving matrix
- * @param {mat2d} a the matrix to translate
- * @param {mat2d} v the vec2 to translate the matrix by
- * @returns {mat2d} out
- **/
-mat2d.translate = function(out, a, v) {
- out[0] = a[0];
- out[1] = a[1];
- out[2] = a[2];
- out[3] = a[3];
- out[4] = a[4] + v[0];
- out[5] = a[5] + v[1];
- return out;
-};
-
-/**
- * Returns a string representation of a mat2d
- *
- * @param {mat2d} a matrix to represent as a string
- * @returns {String} string representation of the matrix
- */
-mat2d.str = function (a) {
- return 'mat2d(' + a[0] + ', ' + a[1] + ', ' + a[2] + ', ' +
- a[3] + ', ' + a[4] + ', ' + a[5] + ')';
-};
-
-if(typeof(exports) !== 'undefined') {
- exports.mat2d = mat2d;
-}