/*
* Matrix2D
* Visit http://createjs.com/ for documentation, updates and examples.
*
* Copyright (c) 2010 gskinner.com, inc.
*
* Permission is hereby granted, free of charge, to any person
* obtaining a copy of this software and associated documentation
* files (the "Software"), to deal in the Software without
* restriction, including without limitation the rights to use,
* copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the
* Software is furnished to do so, subject to the following
* conditions:
*
* The above copyright notice and this permission notice shall be
* included in all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
* OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
* NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
* HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
* WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
* OTHER DEALINGS IN THE SOFTWARE.
*/
/**
* @module EaselJS
*/
// namespace:
this.createjs = this.createjs||{};
(function() {
"use strict";
// constructor:
/**
* Represents an affine transformation matrix, and provides tools for constructing and concatenating matrices.
*
* This matrix can be visualized as:
*
* [ a c tx
* b d ty
* 0 0 1 ]
*
* Note the locations of b and c.
*
* @class Matrix2D
* @param {Number} [a=1] Specifies the a property for the new matrix.
* @param {Number} [b=0] Specifies the b property for the new matrix.
* @param {Number} [c=0] Specifies the c property for the new matrix.
* @param {Number} [d=1] Specifies the d property for the new matrix.
* @param {Number} [tx=0] Specifies the tx property for the new matrix.
* @param {Number} [ty=0] Specifies the ty property for the new matrix.
* @constructor
**/
function Matrix2D(a, b, c, d, tx, ty) {
this.setValues(a,b,c,d,tx,ty);
// public properties:
// assigned in the setValues method.
/**
* Position (0, 0) in a 3x3 affine transformation matrix.
* @property a
* @type Number
**/
/**
* Position (0, 1) in a 3x3 affine transformation matrix.
* @property b
* @type Number
**/
/**
* Position (1, 0) in a 3x3 affine transformation matrix.
* @property c
* @type Number
**/
/**
* Position (1, 1) in a 3x3 affine transformation matrix.
* @property d
* @type Number
**/
/**
* Position (2, 0) in a 3x3 affine transformation matrix.
* @property tx
* @type Number
**/
/**
* Position (2, 1) in a 3x3 affine transformation matrix.
* @property ty
* @type Number
**/
}
var p = Matrix2D.prototype;
/**
* <strong>REMOVED</strong>. Removed in favor of using `MySuperClass_constructor`.
* See {{#crossLink "Utility Methods/extend"}}{{/crossLink}} and {{#crossLink "Utility Methods/promote"}}{{/crossLink}}
* for details.
*
* There is an inheritance tutorial distributed with EaselJS in /tutorials/Inheritance.
*
* @method initialize
* @protected
* @deprecated
*/
// p.initialize = function() {}; // searchable for devs wondering where it is.
// constants:
/**
* Multiplier for converting degrees to radians. Used internally by Matrix2D.
* @property DEG_TO_RAD
* @static
* @final
* @type Number
* @readonly
**/
Matrix2D.DEG_TO_RAD = Math.PI/180;
// static public properties:
/**
* An identity matrix, representing a null transformation.
* @property identity
* @static
* @type Matrix2D
* @readonly
**/
Matrix2D.identity = null; // set at bottom of class definition.
// public methods:
/**
* Sets the specified values on this instance.
* @method setValues
* @param {Number} [a=1] Specifies the a property for the new matrix.
* @param {Number} [b=0] Specifies the b property for the new matrix.
* @param {Number} [c=0] Specifies the c property for the new matrix.
* @param {Number} [d=1] Specifies the d property for the new matrix.
* @param {Number} [tx=0] Specifies the tx property for the new matrix.
* @param {Number} [ty=0] Specifies the ty property for the new matrix.
* @return {Matrix2D} This instance. Useful for chaining method calls.
*/
p.setValues = function(a, b, c, d, tx, ty) {
// don't forget to update docs in the constructor if these change:
this.a = (a == null) ? 1 : a;
this.b = b || 0;
this.c = c || 0;
this.d = (d == null) ? 1 : d;
this.tx = tx || 0;
this.ty = ty || 0;
return this;
};
/**
* Appends the specified matrix properties to this matrix. All parameters are required.
* This is the equivalent of multiplying `(this matrix) * (specified matrix)`.
* @method append
* @param {Number} a
* @param {Number} b
* @param {Number} c
* @param {Number} d
* @param {Number} tx
* @param {Number} ty
* @return {Matrix2D} This matrix. Useful for chaining method calls.
**/
p.append = function(a, b, c, d, tx, ty) {
var a1 = this.a;
var b1 = this.b;
var c1 = this.c;
var d1 = this.d;
if (a != 1 || b != 0 || c != 0 || d != 1) {
this.a = a1*a+c1*b;
this.b = b1*a+d1*b;
this.c = a1*c+c1*d;
this.d = b1*c+d1*d;
}
this.tx = a1*tx+c1*ty+this.tx;
this.ty = b1*tx+d1*ty+this.ty;
return this;
};
/**
* Prepends the specified matrix properties to this matrix.
* This is the equivalent of multiplying `(specified matrix) * (this matrix)`.
* All parameters are required.
* @method prepend
* @param {Number} a
* @param {Number} b
* @param {Number} c
* @param {Number} d
* @param {Number} tx
* @param {Number} ty
* @return {Matrix2D} This matrix. Useful for chaining method calls.
**/
p.prepend = function(a, b, c, d, tx, ty) {
var a1 = this.a;
var c1 = this.c;
var tx1 = this.tx;
this.a = a*a1+c*this.b;
this.b = b*a1+d*this.b;
this.c = a*c1+c*this.d;
this.d = b*c1+d*this.d;
this.tx = a*tx1+c*this.ty+tx;
this.ty = b*tx1+d*this.ty+ty;
return this;
};
/**
* Appends the specified matrix to this matrix.
* This is the equivalent of multiplying `(this matrix) * (specified matrix)`.
* @method appendMatrix
* @param {Matrix2D} matrix
* @return {Matrix2D} This matrix. Useful for chaining method calls.
**/
p.appendMatrix = function(matrix) {
return this.append(matrix.a, matrix.b, matrix.c, matrix.d, matrix.tx, matrix.ty);
};
/**
* Prepends the specified matrix to this matrix.
* This is the equivalent of multiplying `(specified matrix) * (this matrix)`.
* For example, you could calculate the combined transformation for a child object using:
*
* var o = myDisplayObject;
* var mtx = o.getMatrix();
* while (o = o.parent) {
* // prepend each parent's transformation in turn:
* o.prependMatrix(o.getMatrix());
* }
* @method prependMatrix
* @param {Matrix2D} matrix
* @return {Matrix2D} This matrix. Useful for chaining method calls.
**/
p.prependMatrix = function(matrix) {
return this.prepend(matrix.a, matrix.b, matrix.c, matrix.d, matrix.tx, matrix.ty);
};
/**
* Generates matrix properties from the specified display object transform properties, and appends them to this matrix.
* For example, you can use this to generate a matrix representing the transformations of a display object:
*
* var mtx = new createjs.Matrix2D();
* mtx.appendTransform(o.x, o.y, o.scaleX, o.scaleY, o.rotation);
* @method appendTransform
* @param {Number} x
* @param {Number} y
* @param {Number} scaleX
* @param {Number} scaleY
* @param {Number} rotation
* @param {Number} skewX
* @param {Number} skewY
* @param {Number} regX Optional.
* @param {Number} regY Optional.
* @return {Matrix2D} This matrix. Useful for chaining method calls.
**/
p.appendTransform = function(x, y, scaleX, scaleY, rotation, skewX, skewY, regX, regY) {
if (rotation%360) {
var r = rotation*Matrix2D.DEG_TO_RAD;
var cos = Math.cos(r);
var sin = Math.sin(r);
} else {
cos = 1;
sin = 0;
}
if (skewX || skewY) {
// TODO: can this be combined into a single append operation?
skewX *= Matrix2D.DEG_TO_RAD;
skewY *= Matrix2D.DEG_TO_RAD;
this.append(Math.cos(skewY), Math.sin(skewY), -Math.sin(skewX), Math.cos(skewX), x, y);
this.append(cos*scaleX, sin*scaleX, -sin*scaleY, cos*scaleY, 0, 0);
} else {
this.append(cos*scaleX, sin*scaleX, -sin*scaleY, cos*scaleY, x, y);
}
if (regX || regY) {
// append the registration offset:
this.tx -= regX*this.a+regY*this.c;
this.ty -= regX*this.b+regY*this.d;
}
return this;
};
/**
* Generates matrix properties from the specified display object transform properties, and prepends them to this matrix.
* For example, you could calculate the combined transformation for a child object using:
*
* var o = myDisplayObject;
* var mtx = new createjs.Matrix2D();
* do {
* // prepend each parent's transformation in turn:
* mtx.prependTransform(o.x, o.y, o.scaleX, o.scaleY, o.rotation, o.skewX, o.skewY, o.regX, o.regY);
* } while (o = o.parent);
*
* Note that the above example would not account for {{#crossLink "DisplayObject/transformMatrix:property"}}{{/crossLink}}
* values. See {{#crossLink "Matrix2D/prependMatrix"}}{{/crossLink}} for an example that does.
* @method prependTransform
* @param {Number} x
* @param {Number} y
* @param {Number} scaleX
* @param {Number} scaleY
* @param {Number} rotation
* @param {Number} skewX
* @param {Number} skewY
* @param {Number} regX Optional.
* @param {Number} regY Optional.
* @return {Matrix2D} This matrix. Useful for chaining method calls.
**/
p.prependTransform = function(x, y, scaleX, scaleY, rotation, skewX, skewY, regX, regY) {
if (rotation%360) {
var r = rotation*Matrix2D.DEG_TO_RAD;
var cos = Math.cos(r);
var sin = Math.sin(r);
} else {
cos = 1;
sin = 0;
}
if (regX || regY) {
// prepend the registration offset:
this.tx -= regX; this.ty -= regY;
}
if (skewX || skewY) {
// TODO: can this be combined into a single prepend operation?
skewX *= Matrix2D.DEG_TO_RAD;
skewY *= Matrix2D.DEG_TO_RAD;
this.prepend(cos*scaleX, sin*scaleX, -sin*scaleY, cos*scaleY, 0, 0);
this.prepend(Math.cos(skewY), Math.sin(skewY), -Math.sin(skewX), Math.cos(skewX), x, y);
} else {
this.prepend(cos*scaleX, sin*scaleX, -sin*scaleY, cos*scaleY, x, y);
}
return this;
};
/**
* Applies a clockwise rotation transformation to the matrix.
* @method rotate
* @param {Number} angle The angle to rotate by, in degrees. To use a value in radians, multiply it by `180/Math.PI`.
* @return {Matrix2D} This matrix. Useful for chaining method calls.
**/
p.rotate = function(angle) {
angle = angle*Matrix2D.DEG_TO_RAD;
var cos = Math.cos(angle);
var sin = Math.sin(angle);
var a1 = this.a;
var b1 = this.b;
this.a = a1*cos+this.c*sin;
this.b = b1*cos+this.d*sin;
this.c = -a1*sin+this.c*cos;
this.d = -b1*sin+this.d*cos;
return this;
};
/**
* Applies a skew transformation to the matrix.
* @method skew
* @param {Number} skewX The amount to skew horizontally in degrees. To use a value in radians, multiply it by `180/Math.PI`.
* @param {Number} skewY The amount to skew vertically in degrees.
* @return {Matrix2D} This matrix. Useful for chaining method calls.
*/
p.skew = function(skewX, skewY) {
skewX = skewX*Matrix2D.DEG_TO_RAD;
skewY = skewY*Matrix2D.DEG_TO_RAD;
this.append(Math.cos(skewY), Math.sin(skewY), -Math.sin(skewX), Math.cos(skewX), 0, 0);
return this;
};
/**
* Applies a scale transformation to the matrix.
* @method scale
* @param {Number} x The amount to scale horizontally. E.G. a value of 2 will double the size in the X direction, and 0.5 will halve it.
* @param {Number} y The amount to scale vertically.
* @return {Matrix2D} This matrix. Useful for chaining method calls.
**/
p.scale = function(x, y) {
this.a *= x;
this.b *= x;
this.c *= y;
this.d *= y;
//this.tx *= x;
//this.ty *= y;
return this;
};
/**
* Translates the matrix on the x and y axes.
* @method translate
* @param {Number} x
* @param {Number} y
* @return {Matrix2D} This matrix. Useful for chaining method calls.
**/
p.translate = function(x, y) {
this.tx += this.a*x + this.c*y;
this.ty += this.b*x + this.d*y;
return this;
};
/**
* Sets the properties of the matrix to those of an identity matrix (one that applies a null transformation).
* @method identity
* @return {Matrix2D} This matrix. Useful for chaining method calls.
**/
p.identity = function() {
this.a = this.d = 1;
this.b = this.c = this.tx = this.ty = 0;
return this;
};
/**
* Inverts the matrix, causing it to perform the opposite transformation.
* @method invert
* @return {Matrix2D} This matrix. Useful for chaining method calls.
**/
p.invert = function() {
var a1 = this.a;
var b1 = this.b;
var c1 = this.c;
var d1 = this.d;
var tx1 = this.tx;
var n = a1*d1-b1*c1;
this.a = d1/n;
this.b = -b1/n;
this.c = -c1/n;
this.d = a1/n;
this.tx = (c1*this.ty-d1*tx1)/n;
this.ty = -(a1*this.ty-b1*tx1)/n;
return this;
};
/**
* Returns true if the matrix is an identity matrix.
* @method isIdentity
* @return {Boolean}
**/
p.isIdentity = function() {
return this.tx === 0 && this.ty === 0 && this.a === 1 && this.b === 0 && this.c === 0 && this.d === 1;
};
/**
* Returns true if this matrix is equal to the specified matrix (all property values are equal).
* @method equals
* @param {Matrix2D} matrix The matrix to compare.
* @return {Boolean}
**/
p.equals = function(matrix) {
return this.tx === matrix.tx && this.ty === matrix.ty && this.a === matrix.a && this.b === matrix.b && this.c === matrix.c && this.d === matrix.d;
};
/**
* Transforms a point according to this matrix.
* @method transformPoint
* @param {Number} x The x component of the point to transform.
* @param {Number} y The y component of the point to transform.
* @param {Point | Object} [pt] An object to copy the result into. If omitted a generic object with x/y properties will be returned.
* @return {Point} This matrix. Useful for chaining method calls.
**/
p.transformPoint = function(x, y, pt) {
pt = pt||{};
pt.x = x*this.a+y*this.c+this.tx;
pt.y = x*this.b+y*this.d+this.ty;
return pt;
};
/**
* Decomposes the matrix into transform properties (x, y, scaleX, scaleY, and rotation). Note that these values
* may not match the transform properties you used to generate the matrix, though they will produce the same visual
* results.
* @method decompose
* @param {Object} target The object to apply the transform properties to. If null, then a new object will be returned.
* @return {Object} The target, or a new generic object with the transform properties applied.
*/
p.decompose = function(target) {
// TODO: it would be nice to be able to solve for whether the matrix can be decomposed into only scale/rotation even when scale is negative
if (target == null) { target = {}; }
target.x = this.tx;
target.y = this.ty;
target.scaleX = Math.sqrt(this.a * this.a + this.b * this.b);
target.scaleY = Math.sqrt(this.c * this.c + this.d * this.d);
var skewX = Math.atan2(-this.c, this.d);
var skewY = Math.atan2(this.b, this.a);
var delta = Math.abs(1-skewX/skewY);
if (delta < 0.00001) { // effectively identical, can use rotation:
target.rotation = skewY/Matrix2D.DEG_TO_RAD;
if (this.a < 0 && this.d >= 0) {
target.rotation += (target.rotation <= 0) ? 180 : -180;
}
target.skewX = target.skewY = 0;
} else {
target.skewX = skewX/Matrix2D.DEG_TO_RAD;
target.skewY = skewY/Matrix2D.DEG_TO_RAD;
}
return target;
};
/**
* Copies all properties from the specified matrix to this matrix.
* @method copy
* @param {Matrix2D} matrix The matrix to copy properties from.
* @return {Matrix2D} This matrix. Useful for chaining method calls.
*/
p.copy = function(matrix) {
return this.setValues(matrix.a, matrix.b, matrix.c, matrix.d, matrix.tx, matrix.ty);
};
/**
* Returns a clone of the Matrix2D instance.
* @method clone
* @return {Matrix2D} a clone of the Matrix2D instance.
**/
p.clone = function() {
return new Matrix2D(this.a, this.b, this.c, this.d, this.tx, this.ty);
};
/**
* Returns a string representation of this object.
* @method toString
* @return {String} a string representation of the instance.
**/
p.toString = function() {
return "[Matrix2D (a="+this.a+" b="+this.b+" c="+this.c+" d="+this.d+" tx="+this.tx+" ty="+this.ty+")]";
};
// this has to be populated after the class is defined:
Matrix2D.identity = new Matrix2D();
createjs.Matrix2D = Matrix2D;
}());
