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1840x 701x 701x 1840x 1x 1x 1x 1x 216x 216x 216x 216x 216x 1x 1x 1x | /*
* Paper.js - The Swiss Army Knife of Vector Graphics Scripting.
* http://paperjs.org/
*
* Copyright (c) 2011 - 2020, Jürg Lehni & Jonathan Puckey
* http://juerglehni.com/ & https://puckey.studio/
*
* Distributed under the MIT license. See LICENSE file for details.
*
* All rights reserved.
*/
// Based on goog.graphics.AffineTransform, as part of the Closure Library.
// Copyright 2008 The Closure Library Authors. All Rights Reserved.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// TODO: remove eslint-disable comment and deal with errors over time
/* eslint-disable */
import { Base } from '~/straps';
import { Formatter } from '~/util/Formatter';
import { Change } from '~/item/ChangeFlag';
import { Point } from '~/basic/Point';
import { Rectangle } from '~/basic/Rectangle';
/**
* @name Matrix
*
* @class An affine transformation matrix performs a linear mapping from 2D
* coordinates to other 2D coordinates that preserves the "straightness" and
* "parallelness" of lines.
*
* Such a coordinate transformation can be represented by a 3 row by 3
* column matrix with an implied last row of `[ 0 0 1 ]`. This matrix
* transforms source coordinates `(x, y)` into destination coordinates `(x',y')`
* by considering them to be a column vector and multiplying the coordinate
* vector by the matrix according to the following process:
*
* [ x ] [ a c tx ] [ x ] [ a * x + c * y + tx ]
* [ y ] = [ b d ty ] [ y ] = [ b * x + d * y + ty ]
* [ 1 ] [ 0 0 1 ] [ 1 ] [ 1 ]
*
* Note the locations of b and c.
*
* This class is optimized for speed and minimizes calculations based on its
* knowledge of the underlying matrix (as opposed to say simply performing
* matrix multiplication).
*/
export const Matrix = Base.extend(
/** @lends Matrix# */ {
_class: 'Matrix',
/**
* Creates a 2D affine transformation matrix that describes the identity
* transformation.
*
* @name Matrix#initialize
*/
/**
* Creates a 2D affine transformation matrix.
*
* @name Matrix#initialize
* @param {Number} a the a property of the transform
* @param {Number} b the b property of the transform
* @param {Number} c the c property of the transform
* @param {Number} d the d property of the transform
* @param {Number} tx the tx property of the transform
* @param {Number} ty the ty property of the transform
*/
/**
* Creates a 2D affine transformation matrix.
*
* @name Matrix#initialize
* @param {Number[]} values the matrix values to initialize this matrix with
*/
/**
* Creates a 2D affine transformation matrix.
*
* @name Matrix#initialize
* @param {Matrix} matrix the matrix to copy the values from
*/
initialize: function Matrix(arg, _dontNotify) {
var args = arguments,
count = args.length,
ok = true;
if (count >= 6) {
// >= 6 to pass on optional _dontNotify argument.
this._set.apply(this, args);
} else if (count === 1 || count === 2) {
// Support both Matrix and Array arguments through #_set(), and pass
// on the optional _dontNotify argument:
if (arg instanceof Matrix) {
this._set(
(arg as any)._a,
(arg as any)._b,
(arg as any)._c,
(arg as any)._d,
(arg as any)._tx,
(arg as any)._ty,
_dontNotify
);
} else if (Array.isArray(arg)) {
this._set.apply(this, _dontNotify ? arg.concat([_dontNotify]) : arg);
} else {
ok = false;
}
} else if (!count) {
this.reset();
} else {
ok = false;
}
if (!ok) {
throw new Error('Unsupported matrix parameters');
}
return this;
},
/**
* Sets the matrix to the passed values. Note that any sequence of
* parameters that is supported by the various {@link Matrix()} constructors
* also work for calls of `set()`.
*
* @function
* @param {...*} values
* @return {Point}
*/
set: '#initialize',
// See Point#_set() for an explanation of #_set():
_set: function (a, b, c, d, tx, ty, _dontNotify) {
this._a = a;
this._b = b;
this._c = c;
this._d = d;
this._tx = tx;
this._ty = ty;
if (!_dontNotify) this._changed();
return this;
},
_serialize: function (options, dictionary) {
return Base.serialize(this.getValues(), options, true, dictionary);
},
_changed: function () {
var owner = this._owner;
if (owner) {
// If owner has #applyMatrix set, directly bake the change in now.
if (owner._applyMatrix) {
owner.transform(null, true);
} else {
owner._changed(/*#=*/ Change.MATRIX);
}
}
},
/**
* @return {Matrix} a copy of this transform
*/
clone: function () {
return new Matrix(this._a, this._b, this._c, this._d, this._tx, this._ty);
},
/**
* Checks whether the two matrices describe the same transformation.
*
* @param {Matrix} matrix the matrix to compare this matrix to
* @return {Boolean} {@true if the matrices are equal}
*/
equals: function (mx) {
return (
mx === this ||
(mx &&
this._a === mx._a &&
this._b === mx._b &&
this._c === mx._c &&
this._d === mx._d &&
this._tx === mx._tx &&
this._ty === mx._ty)
);
},
/**
* @return {String} a string representation of this transform
*/
toString: function () {
var f = Formatter.instance;
return (
'[[' +
[f.number(this._a), f.number(this._c), f.number(this._tx)].join(', ') +
'], [' +
[f.number(this._b), f.number(this._d), f.number(this._ty)].join(', ') +
']]'
);
},
/**
* Resets the matrix by setting its values to the ones of the identity
* matrix that results in no transformation.
*/
reset: function (_dontNotify) {
this._a = this._d = 1;
this._b = this._c = this._tx = this._ty = 0;
if (!_dontNotify) this._changed();
return this;
},
/**
* Attempts to apply the matrix to the content of item that it belongs to,
* meaning its transformation is baked into the item's content or children.
*
* @param {Boolean} [recursively=true] controls whether to apply
* transformations recursively on children
* @return {Boolean} {@true if the matrix was applied}
*/
apply: function (recursively, _setApplyMatrix) {
var owner = this._owner;
if (owner) {
owner.transform(null, Base.pick(recursively, true), _setApplyMatrix);
// If the matrix was successfully applied, it will be reset now.
return this.isIdentity();
}
return false;
},
/**
* Concatenates this matrix with a translate transformation.
*
* @name Matrix#translate
* @function
* @param {Point} point the vector to translate by
* @return {Matrix} this affine transform
*/
/**
* Concatenates this matrix with a translate transformation.
*
* @name Matrix#translate
* @function
* @param {Number} dx the distance to translate in the x direction
* @param {Number} dy the distance to translate in the y direction
* @return {Matrix} this affine transform
*/
translate: function (/* point */) {
var point = Point.read(arguments),
x = point.x,
y = point.y;
this._tx += x * this._a + y * this._c;
this._ty += x * this._b + y * this._d;
this._changed();
return this;
},
/**
* Concatenates this matrix with a scaling transformation.
*
* @name Matrix#scale
* @function
* @param {Number} scale the scaling factor
* @param {Point} [center] the center for the scaling transformation
* @return {Matrix} this affine transform
*/
/**
* Concatenates this matrix with a scaling transformation.
*
* @name Matrix#scale
* @function
* @param {Number} hor the horizontal scaling factor
* @param {Number} ver the vertical scaling factor
* @param {Point} [center] the center for the scaling transformation
* @return {Matrix} this affine transform
*/
scale: function (/* scale, center */) {
var args = arguments,
scale = Point.read(args),
center = Point.read(args, 0, { readNull: true });
if (center) this.translate(center);
this._a *= scale.x;
this._b *= scale.x;
this._c *= scale.y;
this._d *= scale.y;
if (center) this.translate(center.negate());
this._changed();
return this;
},
/**
* Concatenates this matrix with a rotation transformation around an
* anchor point.
*
* @name Matrix#rotate
* @function
* @param {Number} angle the angle of rotation measured in degrees
* @param {Point} center the anchor point to rotate around
* @return {Matrix} this affine transform
*/
/**
* Concatenates this matrix with a rotation transformation around an
* anchor point.
*
* @name Matrix#rotate
* @function
* @param {Number} angle the angle of rotation measured in degrees
* @param {Number} x the x coordinate of the anchor point
* @param {Number} y the y coordinate of the anchor point
* @return {Matrix} this affine transform
*/
rotate: function (angle /*, center */) {
angle *= Math.PI / 180;
var center = Point.read(arguments, 1),
// Concatenate rotation matrix into this one
x = center.x,
y = center.y,
cos = Math.cos(angle),
sin = Math.sin(angle),
tx = x - x * cos + y * sin,
ty = y - x * sin - y * cos,
a = this._a,
b = this._b,
c = this._c,
d = this._d;
this._a = cos * a + sin * c;
this._b = cos * b + sin * d;
this._c = -sin * a + cos * c;
this._d = -sin * b + cos * d;
this._tx += tx * a + ty * c;
this._ty += tx * b + ty * d;
this._changed();
return this;
},
/**
* Concatenates this matrix with a shear transformation.
*
* @name Matrix#shear
* @function
* @param {Point} shear the shear factor in x and y direction
* @param {Point} [center] the center for the shear transformation
* @return {Matrix} this affine transform
*/
/**
* Concatenates this matrix with a shear transformation.
*
* @name Matrix#shear
* @function
* @param {Number} hor the horizontal shear factor
* @param {Number} ver the vertical shear factor
* @param {Point} [center] the center for the shear transformation
* @return {Matrix} this affine transform
*/
shear: function (/* shear, center */) {
// Do not modify point, center, since that would arguments of which
// we're reading from!
var args = arguments,
shear = Point.read(args),
center = Point.read(args, 0, { readNull: true });
if (center) this.translate(center);
var a = this._a,
b = this._b;
this._a += shear.y * this._c;
this._b += shear.y * this._d;
this._c += shear.x * a;
this._d += shear.x * b;
if (center) this.translate(center.negate());
this._changed();
return this;
},
/**
* Concatenates this matrix with a skew transformation.
*
* @name Matrix#skew
* @function
* @param {Point} skew the skew angles in x and y direction in degrees
* @param {Point} [center] the center for the skew transformation
* @return {Matrix} this affine transform
*/
/**
* Concatenates this matrix with a skew transformation.
*
* @name Matrix#skew
* @function
* @param {Number} hor the horizontal skew angle in degrees
* @param {Number} ver the vertical skew angle in degrees
* @param {Point} [center] the center for the skew transformation
* @return {Matrix} this affine transform
*/
skew: function (/* skew, center */) {
var args = arguments,
skew = Point.read(args),
center = Point.read(args, 0, { readNull: true }),
toRadians = Math.PI / 180,
shear = new Point(Math.tan(skew.x * toRadians), Math.tan(skew.y * toRadians));
return this.shear(shear, center);
},
/**
* Appends the specified matrix to this matrix. This is the equivalent of
* multiplying `(this matrix) * (specified matrix)`.
*
* @param {Matrix} matrix the matrix to append
* @return {Matrix} this matrix, modified
*/
append: function (mx, _dontNotify) {
if (mx) {
var a1 = this._a,
b1 = this._b,
c1 = this._c,
d1 = this._d,
a2 = mx._a,
b2 = mx._c,
c2 = mx._b,
d2 = mx._d,
tx2 = mx._tx,
ty2 = mx._ty;
this._a = a2 * a1 + c2 * c1;
this._c = b2 * a1 + d2 * c1;
this._b = a2 * b1 + c2 * d1;
this._d = b2 * b1 + d2 * d1;
this._tx += tx2 * a1 + ty2 * c1;
this._ty += tx2 * b1 + ty2 * d1;
if (!_dontNotify) this._changed();
}
return this;
},
/**
* Prepends the specified matrix to this matrix. This is the equivalent of
* multiplying `(specified matrix) * (this matrix)`.
*
* @param {Matrix} matrix the matrix to prepend
* @return {Matrix} this matrix, modified
*/
prepend: function (mx, _dontNotify) {
if (mx) {
var a1 = this._a,
b1 = this._b,
c1 = this._c,
d1 = this._d,
tx1 = this._tx,
ty1 = this._ty,
a2 = mx._a,
b2 = mx._c,
c2 = mx._b,
d2 = mx._d,
tx2 = mx._tx,
ty2 = mx._ty;
this._a = a2 * a1 + b2 * b1;
this._c = a2 * c1 + b2 * d1;
this._b = c2 * a1 + d2 * b1;
this._d = c2 * c1 + d2 * d1;
this._tx = a2 * tx1 + b2 * ty1 + tx2;
this._ty = c2 * tx1 + d2 * ty1 + ty2;
if (!_dontNotify) this._changed();
}
return this;
},
/**
* Returns a new matrix as the result of appending the specified matrix to
* this matrix. This is the equivalent of multiplying
* `(this matrix) * (specified matrix)`.
*
* @param {Matrix} matrix the matrix to append
* @return {Matrix} the newly created matrix
*/
appended: function (mx) {
return this.clone().append(mx);
},
/**
* Returns a new matrix as the result of prepending the specified matrix
* to this matrix. This is the equivalent of multiplying
* `(specified matrix) * (this matrix)`.
*
* @param {Matrix} matrix the matrix to prepend
* @return {Matrix} the newly created matrix
*/
prepended: function (mx) {
return this.clone().prepend(mx);
},
/**
* Inverts the matrix, causing it to perform the opposite transformation.
* If the matrix is not invertible (in which case {@link #isSingular()}
* returns true), `null` is returned.
*
* @return {Matrix} this matrix, or `null`, if the matrix is singular.
*/
invert: function () {
var a = this._a,
b = this._b,
c = this._c,
d = this._d,
tx = this._tx,
ty = this._ty,
det = a * d - b * c,
res = null;
if (det && !isNaN(det) && isFinite(tx) && isFinite(ty)) {
this._a = d / det;
this._b = -b / det;
this._c = -c / det;
this._d = a / det;
this._tx = (c * ty - d * tx) / det;
this._ty = (b * tx - a * ty) / det;
res = this;
}
return res;
},
/**
* Creates a new matrix that is the inversion of this matrix, causing it to
* perform the opposite transformation. If the matrix is not invertible (in
* which case {@link #isSingular()} returns true), `null` is returned.
*
* @return {Matrix} this matrix, or `null`, if the matrix is singular.
*/
inverted: function () {
return this.clone().invert();
},
/**
* @deprecated use {@link #append(matrix)} instead.
*/
concatenate: '#append',
/**
* @deprecated use {@link #prepend(matrix)} instead.
*/
preConcatenate: '#prepend',
/**
* @deprecated use {@link #appended(matrix)} instead.
*/
chain: '#appended',
/**
* A private helper function to create a clone of this matrix, without the
* translation factored in.
*
* @return {Matrix} a clone of this matrix, with {@link #tx} and {@link #ty}
* set to `0`.
*/
_shiftless: function () {
return new Matrix(this._a, this._b, this._c, this._d, 0, 0);
},
_orNullIfIdentity: function () {
return this.isIdentity() ? null : this;
},
/**
* @return {Boolean} whether this matrix is the identity matrix
*/
isIdentity: function () {
return this._a === 1 && this._b === 0 && this._c === 0 && this._d === 1 && this._tx === 0 && this._ty === 0;
},
/**
* Checks whether the matrix is invertible. A matrix is not invertible if
* the determinant is 0 or any value is infinite or NaN.
*
* @return {Boolean} whether the matrix is invertible
*/
isInvertible: function () {
var det = this._a * this._d - this._c * this._b;
return det && !isNaN(det) && isFinite(this._tx) && isFinite(this._ty);
},
/**
* Checks whether the matrix is singular or not. Singular matrices cannot be
* inverted.
*
* @return {Boolean} whether the matrix is singular
*/
isSingular: function () {
return !this.isInvertible();
},
/**
* Transforms a point and returns the result.
*
* @name Matrix#transform
* @function
* @param {Point} point the point to be transformed
* @return {Point} the transformed point
*/
/**
* Transforms an array of coordinates by this matrix and stores the results
* into the destination array, which is also returned.
*
* @name Matrix#transform
* @function
* @param {Number[]} src the array containing the source points
* as x, y value pairs
* @param {Number[]} dst the array into which to store the transformed
* point pairs
* @param {Number} count the number of points to transform
* @return {Number[]} the dst array, containing the transformed coordinates
*/
transform: function (/* point | */ src, dst, count) {
return arguments.length < 3
? // TODO: Check for rectangle and use _tranformBounds?
this._transformPoint(Point.read(arguments))
: this._transformCoordinates(src, dst, count);
},
/**
* A faster version of transform that only takes one point and does not
* attempt to convert it.
*/
_transformPoint: function (point, dest, _dontNotify) {
var x = point.x,
y = point.y;
if (!dest) dest = new Point();
return dest._set(x * this._a + y * this._c + this._tx, x * this._b + y * this._d + this._ty, _dontNotify);
},
_transformCoordinates: function (src, dst, count) {
for (var i = 0, max = 2 * count; i < max; i += 2) {
var x = src[i],
y = src[i + 1];
dst[i] = x * this._a + y * this._c + this._tx;
dst[i + 1] = x * this._b + y * this._d + this._ty;
}
return dst;
},
_transformCorners: function (rect) {
var x1 = rect.x,
y1 = rect.y,
x2 = x1 + rect.width,
y2 = y1 + rect.height,
coords = [x1, y1, x2, y1, x2, y2, x1, y2];
return this._transformCoordinates(coords, coords, 4);
},
/**
* Returns the 'transformed' bounds rectangle by transforming each corner
* point and finding the new bounding box to these points. This is not
* really the transformed rectangle!
*/
_transformBounds: function (bounds, dest, _dontNotify) {
var coords = this._transformCorners(bounds),
min = coords.slice(0, 2),
max = min.slice();
for (var i = 2; i < 8; i++) {
var val = coords[i],
j = i & 1;
if (val < min[j]) {
min[j] = val;
} else if (val > max[j]) {
max[j] = val;
}
}
if (!dest) dest = new Rectangle();
return dest._set(min[0], min[1], max[0] - min[0], max[1] - min[1], _dontNotify);
},
/**
* Inverse transforms a point and returns the result.
*
* @param {Point} point the point to be transformed
* @return {Point}
*/
inverseTransform: function (/* point */) {
return this._inverseTransform(Point.read(arguments));
},
_inverseTransform: function (point, dest, _dontNotify) {
var a = this._a,
b = this._b,
c = this._c,
d = this._d,
tx = this._tx,
ty = this._ty,
det = a * d - b * c,
res = null;
if (det && !isNaN(det) && isFinite(tx) && isFinite(ty)) {
var x = point.x - this._tx,
y = point.y - this._ty;
if (!dest) dest = new Point();
res = dest._set((x * d - y * c) / det, (y * a - x * b) / det, _dontNotify);
}
return res;
},
/**
* Decomposes the affine transformation described by this matrix into
* `scaling`, `rotation` and `skewing`, and returns an object with
* these properties.
*
* @return {Object} the decomposed matrix
*/
decompose: function () {
// http://dev.w3.org/csswg/css3-2d-transforms/#matrix-decomposition
// http://www.maths-informatique-jeux.com/blog/frederic/?post/2013/12/01/Decomposition-of-2D-transform-matrices
// https://github.com/wisec/DOMinator/blob/master/layout/style/nsStyleAnimation.cpp#L946
var a = this._a,
b = this._b,
c = this._c,
d = this._d,
det = a * d - b * c,
sqrt = Math.sqrt,
atan2 = Math.atan2,
degrees = 180 / Math.PI,
rotate,
scale,
skew;
if (a !== 0 || b !== 0) {
var r = sqrt(a * a + b * b);
rotate = Math.acos(a / r) * (b > 0 ? 1 : -1);
scale = [r, det / r];
skew = [atan2(a * c + b * d, r * r), 0];
} else if (c !== 0 || d !== 0) {
var s = sqrt(c * c + d * d);
// rotate = Math.PI/2 - (d > 0 ? Math.acos(-c/s) : -Math.acos(c/s));
rotate = Math.asin(c / s) * (d > 0 ? 1 : -1);
scale = [det / s, s];
skew = [0, atan2(a * c + b * d, s * s)];
} else {
// a = b = c = d = 0
rotate = 0;
skew = scale = [0, 0];
}
return {
translation: this.getTranslation(),
rotation: rotate * degrees,
scaling: new Point(scale),
skewing: new Point(skew[0] * degrees, skew[1] * degrees),
};
},
/**
* The value that affects the transformation along the x axis when scaling
* or rotating, positioned at (0, 0) in the transformation matrix.
*
* @name Matrix#a
* @type Number
*/
/**
* The value that affects the transformation along the y axis when rotating
* or skewing, positioned at (1, 0) in the transformation matrix.
*
* @name Matrix#b
* @type Number
*/
/**
* The value that affects the transformation along the x axis when rotating
* or skewing, positioned at (0, 1) in the transformation matrix.
*
* @name Matrix#c
* @type Number
*/
/**
* The value that affects the transformation along the y axis when scaling
* or rotating, positioned at (1, 1) in the transformation matrix.
*
* @name Matrix#d
* @type Number
*/
/**
* The distance by which to translate along the x axis, positioned at (2, 0)
* in the transformation matrix.
*
* @name Matrix#tx
* @type Number
*/
/**
* The distance by which to translate along the y axis, positioned at (2, 1)
* in the transformation matrix.
*
* @name Matrix#ty
* @type Number
*/
/**
* The matrix values as an array, in the same sequence as they are passed
* to {@link #initialize(a, b, c, d, tx, ty)}.
*
* @bean
* @type Number[]
*/
getValues: function () {
return [this._a, this._b, this._c, this._d, this._tx, this._ty];
},
/**
* The translation of the matrix as a vector.
*
* @bean
* @type Point
*/
getTranslation: function () {
// No decomposition is required to extract translation.
return new Point(this._tx, this._ty);
},
/**
* The scaling values of the matrix, if it can be decomposed.
*
* @bean
* @type Point
* @see #decompose()
*/
getScaling: function () {
return this.decompose().scaling;
},
/**
* The rotation angle of the matrix, if it can be decomposed.
*
* @bean
* @type Number
* @see #decompose()
*/
getRotation: function () {
return this.decompose().rotation;
},
/**
* Applies this matrix to the specified Canvas Context.
*
* @param {CanvasRenderingContext2D} ctx
*/
applyToContext: function (ctx) {
if (!this.isIdentity()) {
ctx.transform(this._a, this._b, this._c, this._d, this._tx, this._ty);
}
},
},
Base.each(
['a', 'b', 'c', 'd', 'tx', 'ty'],
function (key) {
// Create getters and setters for all internal attributes.
var part = Base.capitalize(key),
prop = '_' + key;
this['get' + part] = function () {
return this[prop];
};
this['set' + part] = function (value) {
this[prop] = value;
this._changed();
};
},
{}
)
);
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