Matrix.html
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<!DOCTYPE html>
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<title>The source code</title>
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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 < 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(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 "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(dx, dy) {
var me = this;
dx = dx || 0;
dy = dy || 0;
return "progid:DXImageTransform.Microsoft.Matrix(sizingMethod='auto expand', filterType='bilinear', 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) + dx) + ", Dy=" + (me.get(1, 2) + dy) + ")";
},
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) && (out.scaleX.toFixed(9) == out.scaleY.toFixed(9) || !out.rotate);
return out;
}
});
</pre>
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