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  <pre class="prettyprint lang-js"><span id='Ext-draw-Matrix'>/**
</span> * @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 &lt; 3; x++) {
            for (y = 0; y &lt; 3; y++) {
                res = 0;
                for (z = 0; z &lt; 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 &lt; 3; x++) {
            for (y = 0; y &lt; 3; y++) {
                res = 0;
                for (z = 0; z &lt; 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(x, 0, 0, y, cx * (1 - x), cy * (1 - y));
    },

    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 - cos * x + sin * y, -(sin * x) + y - cos * 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 &quot;matrix(&quot; + [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() + &quot;)&quot;;
    },

    toFilter: function(dx, dy) {
        var me = this;
        dx = dx || 0;
        dy = dy || 0;
        return &quot;progid:DXImageTransform.Microsoft.Matrix(sizingMethod='auto expand', filterType='bilinear', M11=&quot; + me.get(0, 0) +
            &quot;, M12=&quot; + me.get(0, 1) + &quot;, M21=&quot; + me.get(1, 0) + &quot;, M22=&quot; + me.get(1, 1) +
            &quot;, Dx=&quot; + (me.get(0, 2) + dx) + &quot;, Dy=&quot; + (me.get(1, 2) + dy) + &quot;)&quot;;
    },

    offset: function() {
        var matrix = this.matrix;
        return [(matrix[0][2] || 0).toFixed(4), (matrix[1][2] || 0).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) &amp;&amp; (out.scaleX.toFixed(9) == out.scaleY.toFixed(9) || !out.rotate);

        return out;
    }
});
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