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* 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.
*/
// TODO: remove eslint-disable comment and deal with errors over time
/* eslint-disable */
import { ref } from '~/globals';
import { Base } from '~/straps';
import { Formatter } from '~/util/Formatter';
import { Numerical } from '~/util/Numerical';
import { ItemSelection } from '~/item/ItemSelection';
/**
* @name Point
*
* @class The Point object represents a point in the two dimensional space
* of the Paper.js project. It is also used to represent two dimensional
* vector objects.
*
* @classexample
* // Create a point at x: 10, y: 5
* var point = new Point(10, 5);
* console.log(point.x); // 10
* console.log(point.y); // 5
*/
export const Point = Base.extend(
/** @lends Point# */ {
_class: 'Point',
// Tell Base.read that the Point constructor supports reading with index
_readIndex: true,
/**
* Creates a Point object with the given x and y coordinates.
*
* @name Point#initialize
* @param {Number} x the x coordinate
* @param {Number} y the y coordinate
*
* @example
* // Create a point at x: 10, y: 5
* var point = new Point(10, 5);
* console.log(point.x); // 10
* console.log(point.y); // 5
*/
/**
* Creates a Point object using the numbers in the given array as
* coordinates.
*
* @name Point#initialize
* @param {Array} array
*
* @example
* // Creating a point at x: 10, y: 5 using an array of numbers:
* var array = [10, 5];
* var point = new Point(array);
* console.log(point.x); // 10
* console.log(point.y); // 5
*
* @example
* // Passing an array to a functionality that expects a point:
*
* // Create a circle shaped path at x: 50, y: 50
* // with a radius of 30:
* var path = new Path.Circle([50, 50], 30);
* path.fillColor = 'red';
*
* // Which is the same as doing:
* var path = new Path.Circle(new Point(50, 50), 30);
* path.fillColor = 'red';
*/
/**
* Creates a Point object using the properties in the given object.
*
* @name Point#initialize
* @param {Object} object the object describing the point's properties
*
* @example
* // Creating a point using an object literal with length and angle
* // properties:
*
* var point = new Point({
* length: 10,
* angle: 90
* });
* console.log(point.length); // 10
* console.log(point.angle); // 90
*
* @example
* // Creating a point at x: 10, y: 20 using an object literal:
*
* var point = new Point({
* x: 10,
* y: 20
* });
* console.log(point.x); // 10
* console.log(point.y); // 20
*
* @example
* // Passing an object to a functionality that expects a point:
*
* var center = {
* x: 50,
* y: 50
* };
*
* // Creates a circle shaped path at x: 50, y: 50
* // with a radius of 30:
* var path = new Path.Circle(center, 30);
* path.fillColor = 'red';
*/
/**
* Creates a Point object using the width and height values of the given
* Size object.
*
* @name Point#initialize
* @param {Size} size
*
* @example
* // Creating a point using a size object.
*
* // Create a Size with a width of 100pt and a height of 50pt
* var size = new Size(100, 50);
* console.log(size); // { width: 100, height: 50 }
* var point = new Point(size);
* console.log(point); // { x: 100, y: 50 }
*/
/**
* Creates a Point object using the coordinates of the given Point object.
*
* @param {Point} point
* @name Point#initialize
*/
initialize: function Point(arg0, arg1) {
var type = typeof arg0,
reading = this.__read,
read = 0;
if (type === 'number') {
var hasY = typeof arg1 === 'number';
this._set(arg0, hasY ? arg1 : arg0);
if (reading) read = hasY ? 2 : 1;
} else if (type === 'undefined' || arg0 === null) {
this._set(0, 0);
if (reading) read = arg0 === null ? 1 : 0;
} else {
var obj = type === 'string' ? arg0.split(/[\s,]+/) || [] : arg0;
read = 1;
if (Array.isArray(obj)) {
this._set(+obj[0], +(obj.length > 1 ? obj[1] : obj[0]));
} else if ('x' in obj) {
this._set(obj.x || 0, obj.y || 0);
} else if ('width' in obj) {
this._set(obj.width || 0, obj.height || 0);
} else if ('angle' in obj) {
this._set(obj.length || 0, 0);
this.setAngle(obj.angle || 0);
} else {
this._set(0, 0);
read = 0;
}
}
if (reading) this.__read = read;
return this;
},
/**
* Sets the point to the passed values. Note that any sequence of parameters
* that is supported by the various {@link Point()} constructors also work
* for calls of `set()`.
*
* @function
* @param {...*} values
* @return {Point}
*/
set: '#initialize',
/**
* Internal helper function to directly set the underlying properties.
*
* Convention regarding {@link #set()} VS {@link #_set()}:
*
* - {@link #_set()} is for actually setting properties, e.g. on Point,
* Size, so that derived classes can reuse other parts (e.g. SegmentPoint)
* - {@link #set()} is a shortcut to #initialize() on all basic types, to
* offer the same amount of flexibility when setting values.
*/
_set: function (x, y) {
this.x = x;
this.y = y;
return this;
},
/**
* The x coordinate of the point
*
* @name Point#x
* @type Number
*/
/**
* The y coordinate of the point
*
* @name Point#y
* @type Number
*/
/**
* Checks whether the coordinates of the point are equal to that of the
* supplied point.
*
* @param {Point} point
* @return {Boolean} {@true if the points are equal}
*
* @example
* var point = new Point(5, 10);
* console.log(point == new Point(5, 10)); // true
* console.log(point == new Point(1, 1)); // false
* console.log(point != new Point(1, 1)); // true
*/
equals: function (point) {
return (
this === point ||
(point &&
((this.x === point.x && this.y === point.y) ||
(Array.isArray(point) && this.x === point[0] && this.y === point[1]))) ||
false
);
},
/**
* Returns a copy of the point.
*
* @example
* var point1 = new Point();
* var point2 = point1;
* point2.x = 1; // also changes point1.x
*
* var point2 = point1.clone();
* point2.x = 1; // doesn't change point1.x
*
* @return {Point} the cloned point
*/
clone: function () {
return new Point(this.x, this.y);
},
/**
* @return {String} a string representation of the point
*/
toString: function () {
var f = Formatter.instance;
return '{ x: ' + f.number(this.x) + ', y: ' + f.number(this.y) + ' }';
},
_serialize: function (options) {
var f = options.formatter;
// For speed reasons, we directly call formatter.number() here, instead
// of converting array through Base.serialize() which makes a copy.
return [f.number(this.x), f.number(this.y)];
},
/**
* The length of the vector that is represented by this point's coordinates.
* Each point can be interpreted as a vector that points from the origin (`x
* = 0`, `y = 0`) to the point's location. Setting the length changes the
* location but keeps the vector's angle.
*
* @bean
* @type Number
*/
getLength: function () {
return Math.sqrt(this.x * this.x + this.y * this.y);
},
setLength: function (length) {
// Whenever chaining both x & y, use #set() instead of direct
// assignment, so LinkedPoint does not report changes twice.
if (this.isZero()) {
var angle = this._angle || 0;
this._set(Math.cos(angle) * length, Math.sin(angle) * length);
} else {
var scale = length / this.getLength();
// Force calculation of angle now, so it will be preserved even when
// x and y are 0
if (Numerical.isZero(scale)) this.getAngle();
this._set(this.x * scale, this.y * scale);
}
},
/**
* Returns the smaller angle between two vectors. The angle is unsigned, no
* information about rotational direction is given.
*
* @name Point#getAngle
* @function
* @param {Point} point
* @return {Number} the angle in degrees
*/
/**
* The vector's angle in degrees, measured from the x-axis to the vector.
*
* @bean
* @name Point#getAngle
* @type Number
*/
getAngle: function (/* point */) {
return (this.getAngleInRadians.apply(this, arguments) * 180) / Math.PI;
},
setAngle: function (angle) {
this.setAngleInRadians.call(this, (angle * Math.PI) / 180);
},
getAngleInDegrees: '#getAngle',
setAngleInDegrees: '#setAngle',
/**
* Returns the smaller angle between two vectors in radians. The angle is
* unsigned, no information about rotational direction is given.
*
* @name Point#getAngleInRadians
* @function
* @param {Point} point
* @return {Number} the angle in radians
*/
/**
* The vector's angle in radians, measured from the x-axis to the vector.
*
* @bean
* @name Point#getAngleInRadians
* @type Number
*/
getAngleInRadians: function (/* point */) {
if (!arguments.length) {
return this.isZero()
? // Return the preserved angle in case the vector has no
// length, and update the internal _angle in case the
// vector has a length. See #setAngle() for more
// explanations.
this._angle || 0
: (this._angle = Math.atan2(this.y, this.x));
} else {
var point = Point.read(arguments),
div = this.getLength() * point.getLength();
if (Numerical.isZero(div)) {
return NaN;
} else {
var a = this.dot(point) / div;
return Math.acos(a < -1 ? -1 : a > 1 ? 1 : a);
}
}
},
setAngleInRadians: function (angle) {
// We store a reference to _angle internally so we still preserve it
// when the vector's length is set to zero, and then anything else.
// Note that we cannot rely on it if x and y are something else than 0,
// since updating x / y does not automatically change _angle!
this._angle = angle;
if (!this.isZero()) {
var length = this.getLength();
// Use #set() instead of direct assignment of x/y, so LinkedPoint
// does not report changes twice.
this._set(Math.cos(angle) * length, Math.sin(angle) * length);
}
},
/**
* The quadrant of the {@link #angle} of the point.
*
* Angles between 0 and 90 degrees are in quadrant `1`. Angles between 90
* and 180 degrees are in quadrant `2`, angles between 180 and 270 degrees
* are in quadrant `3` and angles between 270 and 360 degrees are in
* quadrant `4`.
*
* @bean
* @type Number
*
* @example
* var point = new Point({
* angle: 10,
* length: 20
* });
* console.log(point.quadrant); // 1
*
* point.angle = 100;
* console.log(point.quadrant); // 2
*
* point.angle = 190;
* console.log(point.quadrant); // 3
*
* point.angle = 280;
* console.log(point.quadrant); // 4
*/
getQuadrant: function () {
return this.x >= 0 ? (this.y >= 0 ? 1 : 4) : this.y >= 0 ? 2 : 3;
},
},
/** @lends Point# */ {
// Explicitly deactivate the creation of beans, as we have functions here
// that look like bean getters but actually read arguments.
// See #getDirectedAngle(), #getDistance()
beans: false,
/**
* Returns the angle between two vectors. The angle is directional and
* signed, giving information about the rotational direction.
*
* Read more about angle units and orientation in the description of the
* {@link #angle} property.
*
* @param {Point} point
* @return {Number} the angle between the two vectors
*/
getDirectedAngle: function (/* point */) {
var point = Point.read(arguments);
return (Math.atan2(this.cross(point), this.dot(point)) * 180) / Math.PI;
},
/**
* Returns the distance between the point and another point.
*
* @param {Point} point
* @param {Boolean} [squared=false] Controls whether the distance should
* remain squared, or its square root should be calculated
* @return {Number}
*/
getDistance: function (/* point, squared */) {
var args = arguments,
point = Point.read(args),
x = point.x - this.x,
y = point.y - this.y,
d = x * x + y * y,
squared = Base.read(args);
return squared ? d : Math.sqrt(d);
},
/**
* Normalize modifies the {@link #length} of the vector to `1` without
* changing its angle and returns it as a new point. The optional `length`
* parameter defines the length to normalize to. The object itself is not
* modified!
*
* @param {Number} [length=1] The length of the normalized vector
* @return {Point} the normalized vector of the vector that is represented
* by this point's coordinates
*/
normalize: function (length) {
if (length === undefined) length = 1;
var current = this.getLength(),
scale = current !== 0 ? length / current : 0,
point = new Point(this.x * scale, this.y * scale);
// Preserve angle.
if (scale >= 0) point._angle = this._angle;
return point;
},
/**
* Rotates the point by the given angle around an optional center point.
* The object itself is not modified.
*
* Read more about angle units and orientation in the description of the
* {@link #angle} property.
*
* @param {Number} angle the rotation angle
* @param {Point} center the center point of the rotation
* @return {Point} the rotated point
*/
rotate: function (angle, center) {
if (angle === 0) return this.clone();
angle = (angle * Math.PI) / 180;
var point = center ? this.subtract(center) : this,
sin = Math.sin(angle),
cos = Math.cos(angle);
point = new Point(point.x * cos - point.y * sin, point.x * sin + point.y * cos);
return center ? point.add(center) : point;
},
/**
* Transforms the point by the matrix as a new point. The object itself is
* not modified!
*
* @param {Matrix} matrix
* @return {Point} the transformed point
*/
transform: function (matrix) {
return matrix ? matrix._transformPoint(this) : this;
},
/**
* Returns the addition of the supplied value to both coordinates of
* the point as a new point.
* The object itself is not modified!
*
* @name Point#add
* @function
* @operator
* @param {Number} number the number to add
* @return {Point} the addition of the point and the value as a new point
*
* @example
* var point = new Point(5, 10);
* var result = point + 20;
* console.log(result); // {x: 25, y: 30}
*/
/**
* Returns the addition of the supplied point to the point as a new
* point.
* The object itself is not modified!
*
* @name Point#add
* @function
* @operator
* @param {Point} point the point to add
* @return {Point} the addition of the two points as a new point
*
* @example
* var point1 = new Point(5, 10);
* var point2 = new Point(10, 20);
* var result = point1 + point2;
* console.log(result); // {x: 15, y: 30}
*/
add: function (/* point */) {
var point = Point.read(arguments);
return new Point(this.x + point.x, this.y + point.y);
},
/**
* Returns the subtraction of the supplied value to both coordinates of
* the point as a new point.
* The object itself is not modified!
*
* @name Point#subtract
* @function
* @operator
* @param {Number} number the number to subtract
* @return {Point} the subtraction of the point and the value as a new point
*
* @example
* var point = new Point(10, 20);
* var result = point - 5;
* console.log(result); // {x: 5, y: 15}
*/
/**
* Returns the subtraction of the supplied point to the point as a new
* point.
* The object itself is not modified!
*
* @name Point#subtract
* @function
* @operator
* @param {Point} point the point to subtract
* @return {Point} the subtraction of the two points as a new point
*
* @example
* var firstPoint = new Point(10, 20);
* var secondPoint = new Point(5, 5);
* var result = firstPoint - secondPoint;
* console.log(result); // {x: 5, y: 15}
*/
subtract: function (/* point */) {
var point = Point.read(arguments);
return new Point(this.x - point.x, this.y - point.y);
},
/**
* Returns the multiplication of the supplied value to both coordinates of
* the point as a new point.
* The object itself is not modified!
*
* @name Point#multiply
* @function
* @operator
* @param {Number} number the number to multiply by
* @return {Point} the multiplication of the point and the value as a new
* point
*
* @example
* var point = new Point(10, 20);
* var result = point * 2;
* console.log(result); // {x: 20, y: 40}
*/
/**
* Returns the multiplication of the supplied point to the point as a new
* point.
* The object itself is not modified!
*
* @name Point#multiply
* @function
* @operator
* @param {Point} point the point to multiply by
* @return {Point} the multiplication of the two points as a new point
*
* @example
* var firstPoint = new Point(5, 10);
* var secondPoint = new Point(4, 2);
* var result = firstPoint * secondPoint;
* console.log(result); // {x: 20, y: 20}
*/
multiply: function (/* point */) {
var point = Point.read(arguments);
return new Point(this.x * point.x, this.y * point.y);
},
/**
* Returns the division of the supplied value to both coordinates of
* the point as a new point.
* The object itself is not modified!
*
* @name Point#divide
* @function
* @operator
* @param {Number} number the number to divide by
* @return {Point} the division of the point and the value as a new point
*
* @example
* var point = new Point(10, 20);
* var result = point / 2;
* console.log(result); // {x: 5, y: 10}
*/
/**
* Returns the division of the supplied point to the point as a new
* point.
* The object itself is not modified!
*
* @name Point#divide
* @function
* @operator
* @param {Point} point the point to divide by
* @return {Point} the division of the two points as a new point
*
* @example
* var firstPoint = new Point(8, 10);
* var secondPoint = new Point(2, 5);
* var result = firstPoint / secondPoint;
* console.log(result); // {x: 4, y: 2}
*/
divide: function (/* point */) {
var point = Point.read(arguments);
return new Point(this.x / point.x, this.y / point.y);
},
/**
* The modulo operator returns the integer remainders of dividing the point
* by the supplied value as a new point.
*
* @name Point#modulo
* @function
* @operator
* @param {Number} value
* @return {Point} the integer remainders of dividing the point by the value
* as a new point
*
* @example
* var point = new Point(12, 6);
* console.log(point % 5); // {x: 2, y: 1}
*/
/**
* The modulo operator returns the integer remainders of dividing the point
* by the supplied value as a new point.
*
* @name Point#modulo
* @function
* @operator
* @param {Point} point
* @return {Point} the integer remainders of dividing the points by each
* other as a new point
*
* @example
* var point = new Point(12, 6);
* console.log(point % new Point(5, 2)); // {x: 2, y: 0}
*/
modulo: function (/* point */) {
var point = Point.read(arguments);
return new Point(this.x % point.x, this.y % point.y);
},
negate: function () {
return new Point(-this.x, -this.y);
},
/**
* {@grouptitle Tests}
*
* Checks whether the point is inside the boundaries of the rectangle.
*
* @param {Rectangle} rect the rectangle to check against
* @return {Boolean} {@true if the point is inside the rectangle}
*/
isInside: function (/* rect */) {
return ref.Rectangle.read(arguments).contains(this);
},
/**
* Checks if the point is within a given distance of another point.
*
* @param {Point} point the point to check against
* @param {Number} tolerance the maximum distance allowed
* @return {Boolean} {@true if it is within the given distance}
*/
isClose: function (/* point, tolerance */) {
var args = arguments,
point = Point.read(args),
tolerance = Base.read(args);
return this.getDistance(point) <= tolerance;
},
/**
* Checks if the vector represented by this point is collinear (parallel) to
* another vector.
*
* @param {Point} point the vector to check against
* @return {Boolean} {@true it is collinear}
*/
isCollinear: function (/* point */) {
var point = Point.read(arguments);
return Point.isCollinear(this.x, this.y, point.x, point.y);
},
// TODO: Remove version with typo after a while (deprecated June 2015)
isColinear: '#isCollinear',
/**
* Checks if the vector represented by this point is orthogonal
* (perpendicular) to another vector.
*
* @param {Point} point the vector to check against
* @return {Boolean} {@true it is orthogonal}
*/
isOrthogonal: function (/* point */) {
var point = Point.read(arguments);
return Point.isOrthogonal(this.x, this.y, point.x, point.y);
},
/**
* Checks if this point has both the x and y coordinate set to 0.
*
* @return {Boolean} {@true if both x and y are 0}
*/
isZero: function () {
var isZero = Numerical.isZero;
return isZero(this.x) && isZero(this.y);
},
/**
* Checks if this point has an undefined value for at least one of its
* coordinates.
*
* @return {Boolean} {@true if either x or y are not a number}
*/
isNaN: function () {
return isNaN(this.x) || isNaN(this.y);
},
/**
* Checks if the vector is within the specified quadrant. Note that if the
* vector lies on the boundary between two quadrants, `true` will be
* returned for both quadrants.
*
* @param {Number} quadrant the quadrant to check against
* @return {Boolean} {@true if either x or y are not a number}
* @see #quadrant
*/
isInQuadrant: function (q) {
// Map quadrant to x & y coordinate pairs and multiply with coordinates,
// then check sign:
// 1: [ 1, 1]
// 2: [-1, 1]
// 3: [-1, -1]
// 4: [ 1, -1]
return this.x * (q > 1 && q < 4 ? -1 : 1) >= 0 && this.y * (q > 2 ? -1 : 1) >= 0;
},
/**
* {@grouptitle Vector Math Functions}
* Returns the dot product of the point and another point.
*
* @param {Point} point
* @return {Number} the dot product of the two points
*/
dot: function (/* point */) {
var point = Point.read(arguments);
return this.x * point.x + this.y * point.y;
},
/**
* Returns the cross product of the point and another point.
*
* @param {Point} point
* @return {Number} the cross product of the two points
*/
cross: function (/* point */) {
var point = Point.read(arguments);
return this.x * point.y - this.y * point.x;
},
/**
* Returns the projection of the point onto another point.
* Both points are interpreted as vectors.
*
* @param {Point} point
* @return {Point} the projection of the point onto another point
*/
project: function (/* point */) {
var point = Point.read(arguments),
scale = point.isZero() ? 0 : this.dot(point) / point.dot(point);
return new Point(point.x * scale, point.y * scale);
},
/**
* This property is only valid if the point is an anchor or handle point
* of a {@link Segment} or a {@link Curve}, or the position of an
* {@link Item}, as returned by {@link Item#position},
* {@link Segment#point}, {@link Segment#handleIn},
* {@link Segment#handleOut}, {@link Curve#point1}, {@link Curve#point2},
* {@link Curve#handle1}, {@link Curve#handle2}.
*
* In those cases, it returns {@true if it the point is selected}.
*
* Paper.js renders selected points on top of your project. This is very
* useful when debugging.
*
* @name Point#selected
* @property
* @type Boolean
* @default false
*
* @example {@paperscript}
* var path = new Path.Circle({
* center: [80, 50],
* radius: 40
* });
*
* // Select the third segment point:
* path.segments[2].point.selected = true;
*
* // Select the item's position, which is the pivot point
* // around which it is transformed:
* path.position.selected = true;
*/
/**
* {@grouptitle Math Functions}
*
* Returns a new point with rounded {@link #x} and {@link #y} values. The
* object itself is not modified!
*
* @name Point#round
* @function
* @return {Point}
*
* @example
* var point = new Point(10.2, 10.9);
* var roundPoint = point.round();
* console.log(roundPoint); // {x: 10, y: 11}
*/
/**
* Returns a new point with the nearest greater non-fractional values to the
* specified {@link #x} and {@link #y} values. The object itself is not
* modified!
*
* @name Point#ceil
* @function
* @return {Point}
*
* @example
* var point = new Point(10.2, 10.9);
* var ceilPoint = point.ceil();
* console.log(ceilPoint); // {x: 11, y: 11}
*/
/**
* Returns a new point with the nearest smaller non-fractional values to the
* specified {@link #x} and {@link #y} values. The object itself is not
* modified!
*
* @name Point#floor
* @function
* @return {Point}
*
* @example
* var point = new Point(10.2, 10.9);
* var floorPoint = point.floor();
* console.log(floorPoint); // {x: 10, y: 10}
*/
/**
* Returns a new point with the absolute values of the specified {@link #x}
* and {@link #y} values. The object itself is not modified!
*
* @name Point#abs
* @function
* @return {Point}
*
* @example
* var point = new Point(-5, 10);
* var absPoint = point.abs();
* console.log(absPoint); // {x: 5, y: 10}
*/
statics: /** @lends Point */ {
/**
* Returns a new point object with the smallest {@link #x} and
* {@link #y} of the supplied points.
*
* @static
* @param {Point} point1
* @param {Point} point2
* @return {Point} the newly created point object
*
* @example
* var point1 = new Point(10, 100);
* var point2 = new Point(200, 5);
* var minPoint = Point.min(point1, point2);
* console.log(minPoint); // {x: 10, y: 5}
*
* @example
* // Find the minimum of multiple points:
* var point1 = new Point(60, 100);
* var point2 = new Point(200, 5);
* var point3 = new Point(250, 35);
* [point1, point2, point3].reduce(Point.min) // {x: 60, y: 5}
*/
min: function (/* point1, point2 */) {
var args = arguments,
point1 = Point.read(args),
point2 = Point.read(args);
return new Point(Math.min(point1.x, point2.x), Math.min(point1.y, point2.y));
},
/**
* Returns a new point object with the largest {@link #x} and
* {@link #y} of the supplied points.
*
* @static
* @param {Point} point1
* @param {Point} point2
* @return {Point} the newly created point object
*
* @example
* var point1 = new Point(10, 100);
* var point2 = new Point(200, 5);
* var maxPoint = Point.max(point1, point2);
* console.log(maxPoint); // {x: 200, y: 100}
*
* @example
* // Find the maximum of multiple points:
* var point1 = new Point(60, 100);
* var point2 = new Point(200, 5);
* var point3 = new Point(250, 35);
* [point1, point2, point3].reduce(Point.max) // {x: 250, y: 100}
*/
max: function (/* point1, point2 */) {
var args = arguments,
point1 = Point.read(args),
point2 = Point.read(args);
return new Point(Math.max(point1.x, point2.x), Math.max(point1.y, point2.y));
},
/**
* Returns a point object with random {@link #x} and {@link #y} values
* between `0` and `1`.
*
* @return {Point} the newly created point object
* @static
*
* @example
* var maxPoint = new Point(100, 100);
* var randomPoint = Point.random();
*
* // A point between {x:0, y:0} and {x:100, y:100}:
* var point = maxPoint * randomPoint;
*/
random: function () {
return new Point(Math.random(), Math.random());
},
isCollinear: function (x1, y1, x2, y2) {
// NOTE: We use normalized vectors so that the epsilon comparison is
// reliable. We could instead scale the epsilon based on the vector
// length. But instead of normalizing the vectors before calculating
// the cross product, we can scale the epsilon accordingly.
return (
Math.abs(x1 * y2 - y1 * x2) <=
Math.sqrt((x1 * x1 + y1 * y1) * (x2 * x2 + y2 * y2)) * /*#=*/ Numerical.TRIGONOMETRIC_EPSILON
);
},
isOrthogonal: function (x1, y1, x2, y2) {
// See Point.isCollinear()
return (
Math.abs(x1 * x2 + y1 * y2) <=
Math.sqrt((x1 * x1 + y1 * y1) * (x2 * x2 + y2 * y2)) * /*#=*/ Numerical.TRIGONOMETRIC_EPSILON
);
},
},
},
Base.each(
['round', 'ceil', 'floor', 'abs'],
function (key) {
// Inject round, ceil, floor, abs:
var op = Math[key];
this[key] = function () {
return new Point(op(this.x), op(this.y));
};
},
{}
)
);
/**
* @name LinkedPoint
*
* @class An internal version of Point that notifies its owner of each change
* through setting itself again on the setter that corresponds to the getter
* that produced this LinkedPoint.
*
* @private
*/
export const LinkedPoint = Point.extend({
// Have LinkedPoint appear as a normal Point in debugging
initialize: function Point(x, y, owner, setter) {
this._x = x;
this._y = y;
this._owner = owner;
this._setter = setter;
},
// See Point#_set() for an explanation of #_set():
_set: function (x, y, _dontNotify) {
this._x = x;
this._y = y;
if (!_dontNotify) this._owner[this._setter](this);
return this;
},
getX: function () {
return this._x;
},
setX: function (x) {
this._x = x;
this._owner[this._setter](this);
},
getY: function () {
return this._y;
},
setY: function (y) {
this._y = y;
this._owner[this._setter](this);
},
isSelected: function () {
return !!(this._owner._selection & this._getSelection());
},
setSelected: function (selected) {
this._owner._changeSelection(this._getSelection(), selected);
},
_getSelection: function () {
return this._setter === 'setPosition' ? /*#=*/ ItemSelection.POSITION : 0;
},
});
ref.Point = Point;
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