    /*
     * @class Ext.draw.Matrix
     * @private
     */
    Ext.define('Ext.draw.Matrix', {

        /* Begin Definitions */

        requires: ['Ext.draw.Draw'],

        /* End Definitions */

        constructor: function(a, b, c, d, e, f) {
            if (a != null) {
                this.matrix = [[a, c, e], [b, d, f], [0, 0, 1]];
            }
            else {
                this.matrix = [[1, 0, 0], [0, 1, 0], [0, 0, 1]];
            }
        },

        add: function(a, b, c, d, e, f) {
            var me = this,
                out = [[], [], []],
                matrix = [[a, c, e], [b, d, f], [0, 0, 1]],
                x,
                y,
                z,
                res;

            for (x = 0; x < 3; x++) {
                for (y = 0; y < 3; y++) {
                    res = 0;
                    for (z = 0; z < 3; z++) {
                        res += me.matrix[x][z] * matrix[z][y];
                    }
                    out[x][y] = res;
                }
            }
            me.matrix = out;
        },

        prepend: function(a, b, c, d, e, f) {
            var me = this,
                out = [[], [], []],
                matrix = [[a, c, e], [b, d, f], [0, 0, 1]],
                x,
                y,
                z,
                res;

            for (x = 0; x < 3; x++) {
                for (y = 0; y < 3; y++) {
                    res = 0;
                    for (z = 0; z < 3; z++) {
                        res += matrix[x][z] * me.matrix[z][y];
                    }
                    out[x][y] = res;
                }
            }
            me.matrix = out;
        },

        invert: function() {
            var matrix = this.matrix,
                a = matrix[0][0],
                b = matrix[1][0],
                c = matrix[0][1],
                d = matrix[1][1],
                e = matrix[0][2],
                f = matrix[1][2],
                x = a * d - b * c;
            return new Ext.draw.Matrix(d / x, -b / x, -c / x, a / x, (c * f - d * e) / x, (b * e - a * f) / x);
        },

        clone: function() {
            var matrix = this.matrix,
                a = matrix[0][0],
                b = matrix[1][0],
                c = matrix[0][1],
                d = matrix[1][1],
                e = matrix[0][2],
                f = matrix[1][2];
            return new Ext.draw.Matrix(a, b, c, d, e, f);
        },

        translate: function(x, y) {
            this.prepend(1, 0, 0, 1, x, y);
        },

        scale: function(x, y, cx, cy) {
            var me = this;
            if (y == null) {
                y = x;
            }
            me.add(1, 0, 0, 1, cx, cy);
            me.add(x, 0, 0, y, 0, 0);
            me.add(1, 0, 0, 1, -cx, -cy);
        },

        rotate: function(a, x, y) {
            a = Ext.draw.Draw.rad(a);
            var me = this,
                cos = +Math.cos(a).toFixed(9),
                sin = +Math.sin(a).toFixed(9);
            me.add(cos, sin, -sin, cos, x, y);
            me.add(1, 0, 0, 1, -x, -y);
        },

        x: function(x, y) {
            var matrix = this.matrix;
            return x * matrix[0][0] + y * matrix[0][1] + matrix[0][2];
        },

        y: function(x, y) {
            var matrix = this.matrix;
            return x * matrix[1][0] + y * matrix[1][1] + matrix[1][2];
        },

        get: function(i, j) {
            return + this.matrix[i][j].toFixed(4);
        },

        toString: function() {
            var me = this;
            return [me.get(0, 0), me.get(0, 1), me.get(1, 0), me.get(1, 1), 0, 0].join();
        },

        toSvg: function() {
            var me = this;
            return "matrix(" + [me.get(0, 0), me.get(1, 0), me.get(0, 1), me.get(1, 1), me.get(0, 2), me.get(1, 2)].join() + ")";
        },

        toFilter: function() {
            var me = this;
            return "progid:DXImageTransform.Microsoft.Matrix(M11=" + me.get(0, 0) +
                ", M12=" + me.get(0, 1) + ", M21=" + me.get(1, 0) + ", M22=" + me.get(1, 1) +
                ", Dx=" + me.get(0, 2) + ", Dy=" + me.get(1, 2) + ")";
        },

        offset: function() {
            var matrix = this.matrix;
            return [matrix[0][2].toFixed(4), matrix[1][2].toFixed(4)];
        },

        // Split matrix into Translate Scale, Shear, and Rotate
        split: function () {
            function norm(a) {
                return a[0] * a[0] + a[1] * a[1];
            }
            function normalize(a) {
                var mag = Math.sqrt(norm(a));
                a[0] /= mag;
                a[1] /= mag;
            }
            var matrix = this.matrix,
                out = {
                    translateX: matrix[0][2],
                    translateY: matrix[1][2]
                },
                row;

            // scale and shear
            row = [[matrix[0][0], matrix[0][1]], [matrix[1][1], matrix[1][1]]];
            out.scaleX = Math.sqrt(norm(row[0]));
            normalize(row[0]);

            out.shear = row[0][0] * row[1][0] + row[0][1] * row[1][1];
            row[1] = [row[1][0] - row[0][0] * out.shear, row[1][1] - row[0][1] * out.shear];

            out.scaleY = Math.sqrt(norm(row[1]));
            normalize(row[1]);
            out.shear /= out.scaleY;

            // rotation
            out.rotate = Math.asin(-row[0][1]);

            out.isSimple = !+out.shear.toFixed(9) && (out.scaleX.toFixed(9) == out.scaleY.toFixed(9) || !out.rotate);

            return out;
        }
    });