/** * @author Richard Davey <rich@photonstorm.com> * @copyright 2014 Photon Storm Ltd. * @license {@link https://github.com/photonstorm/phaser/blob/master/license.txt|MIT License} */ /** * A Point object represents a location in a two-dimensional coordinate system, where x represents the horizontal axis and y represents the vertical axis. * The following code creates a point at (0,0): * `var myPoint = new Phaser.Point();` * You can also use them as 2D Vectors and you'll find different vector related methods in this class. * * @class Phaser.Point * @constructor * @param {number} [x=0] - The horizontal position of this Point. * @param {number} [y=0] - The vertical position of this Point. */ Phaser.Point = function (x, y) { x = x || 0; y = y || 0; /** * @property {number} x - The x value of the point. */ this.x = x; /** * @property {number} y - The y value of the point. */ this.y = y; }; Phaser.Point.prototype = { /** * Copies the x and y properties from any given object to this Point. * * @method Phaser.Point#copyFrom * @param {any} source - The object to copy from. * @return {Phaser.Point} This Point object. */ copyFrom: function (source) { return this.setTo(source.x, source.y); }, /** * Inverts the x and y values of this Point * * @method Phaser.Point#invert * @return {Phaser.Point} This Point object. */ invert: function () { return this.setTo(this.y, this.x); }, /** * Sets the `x` and `y` values of this Point object to the given values. * If you omit the `y` value then the `x` value will be applied to both, for example: * `Point.setTo(2)` is the same as `Point.setTo(2, 2)` * * @method Phaser.Point#setTo * @param {number} x - The horizontal value of this point. * @param {number} [y] - The vertical value of this point. If not given the x value will be used in its place. * @return {Phaser.Point} This Point object. Useful for chaining method calls. */ setTo: function (x, y) { this.x = x || 0; this.y = y || ( (y !== 0) ? this.x : 0 ); return this; }, /** * Sets the `x` and `y` values of this Point object to the given values. * If you omit the `y` value then the `x` value will be applied to both, for example: * `Point.setTo(2)` is the same as `Point.setTo(2, 2)` * * @method Phaser.Point#set * @param {number} x - The horizontal value of this point. * @param {number} [y] - The vertical value of this point. If not given the x value will be used in its place. * @return {Phaser.Point} This Point object. Useful for chaining method calls. */ set: function (x, y) { this.x = x || 0; this.y = y || ( (y !== 0) ? this.x : 0 ); return this; }, /** * Adds the given x and y values to this Point. * * @method Phaser.Point#add * @param {number} x - The value to add to Point.x. * @param {number} y - The value to add to Point.y. * @return {Phaser.Point} This Point object. Useful for chaining method calls. */ add: function (x, y) { this.x += x; this.y += y; return this; }, /** * Subtracts the given x and y values from this Point. * * @method Phaser.Point#subtract * @param {number} x - The value to subtract from Point.x. * @param {number} y - The value to subtract from Point.y. * @return {Phaser.Point} This Point object. Useful for chaining method calls. */ subtract: function (x, y) { this.x -= x; this.y -= y; return this; }, /** * Multiplies Point.x and Point.y by the given x and y values. Sometimes known as `Scale`. * * @method Phaser.Point#multiply * @param {number} x - The value to multiply Point.x by. * @param {number} y - The value to multiply Point.x by. * @return {Phaser.Point} This Point object. Useful for chaining method calls. */ multiply: function (x, y) { this.x *= x; this.y *= y; return this; }, /** * Divides Point.x and Point.y by the given x and y values. * * @method Phaser.Point#divide * @param {number} x - The value to divide Point.x by. * @param {number} y - The value to divide Point.x by. * @return {Phaser.Point} This Point object. Useful for chaining method calls. */ divide: function (x, y) { this.x /= x; this.y /= y; return this; }, /** * Clamps the x value of this Point to be between the given min and max. * * @method Phaser.Point#clampX * @param {number} min - The minimum value to clamp this Point to. * @param {number} max - The maximum value to clamp this Point to. * @return {Phaser.Point} This Point object. */ clampX: function (min, max) { this.x = Phaser.Math.clamp(this.x, min, max); return this; }, /** * Clamps the y value of this Point to be between the given min and max * * @method Phaser.Point#clampY * @param {number} min - The minimum value to clamp this Point to. * @param {number} max - The maximum value to clamp this Point to. * @return {Phaser.Point} This Point object. */ clampY: function (min, max) { this.y = Phaser.Math.clamp(this.y, min, max); return this; }, /** * Clamps this Point object values to be between the given min and max. * * @method Phaser.Point#clamp * @param {number} min - The minimum value to clamp this Point to. * @param {number} max - The maximum value to clamp this Point to. * @return {Phaser.Point} This Point object. */ clamp: function (min, max) { this.x = Phaser.Math.clamp(this.x, min, max); this.y = Phaser.Math.clamp(this.y, min, max); return this; }, /** * Creates a copy of the given Point. * * @method Phaser.Point#clone * @param {Phaser.Point} [output] Optional Point object. If given the values will be set into this object, otherwise a brand new Point object will be created and returned. * @return {Phaser.Point} The new Point object. */ clone: function (output) { if (typeof output === "undefined" || output === null) { output = new Phaser.Point(this.x, this.y); } else { output.setTo(this.x, this.y); } return output; }, /** * Copies the x and y properties from this Point to any given object. * * @method Phaser.Point#copyTo * @param {any} dest - The object to copy to. * @return {Object} The dest object. */ copyTo: function (dest) { dest.x = this.x; dest.y = this.y; return dest; }, /** * Returns the distance of this Point object to the given object (can be a Circle, Point or anything with x/y properties) * * @method Phaser.Point#distance * @param {object} dest - The target object. Must have visible x and y properties that represent the center of the object. * @param {boolean} [round] - Round the distance to the nearest integer (default false). * @return {number} The distance between this Point object and the destination Point object. */ distance: function (dest, round) { return Phaser.Point.distance(this, dest, round); }, /** * Determines whether the given objects x/y values are equal to this Point object. * * @method Phaser.Point#equals * @param {Phaser.Point|any} a - The object to compare with this Point. * @return {boolean} A value of true if the x and y points are equal, otherwise false. */ equals: function (a) { return (a.x === this.x && a.y === this.y); }, /** * Returns the angle between this Point object and another object with public x and y properties. * * @method Phaser.Point#angle * @param {Phaser.Point|any} a - The object to get the angle from this Point to. * @param {boolean} [asDegrees=false] - Is the given angle in radians (false) or degrees (true)? * @return {number} The angle between the two objects. */ angle: function (a, asDegrees) { if (typeof asDegrees === 'undefined') { asDegrees = false; } if (asDegrees) { return Phaser.Math.radToDeg(Math.atan2(a.y - this.y, a.x - this.x)); } else { return Math.atan2(a.y - this.y, a.x - this.x); } }, /** * Returns the angle squared between this Point object and another object with public x and y properties. * * @method Phaser.Point#angleSq * @param {Phaser.Point|any} a - The object to get the angleSq from this Point to. * @return {number} The angleSq between the two objects. */ angleSq: function (a) { return this.subtract(a).angle(a.subtract(this)); }, /** * Rotates this Point around the x/y coordinates given to the desired angle. * * @method Phaser.Point#rotate * @param {number} x - The x coordinate of the anchor point. * @param {number} y - The y coordinate of the anchor point. * @param {number} angle - The angle in radians (unless asDegrees is true) to rotate the Point to. * @param {boolean} asDegrees - Is the given rotation in radians (false) or degrees (true)? * @param {number} [distance] - An optional distance constraint between the Point and the anchor. * @return {Phaser.Point} The modified point object. */ rotate: function (x, y, angle, asDegrees, distance) { return Phaser.Point.rotate(this, x, y, angle, asDegrees, distance); }, /** * Calculates the length of the Point object. * * @method Phaser.Point#getMagnitude * @return {number} The length of the Point. */ getMagnitude: function () { return Math.sqrt((this.x * this.x) + (this.y * this.y)); }, /** * Calculates the length squared of the Point object. * * @method Phaser.Point#getMagnitudeSq * @return {number} The length ^ 2 of the Point. */ getMagnitudeSq: function () { return (this.x * this.x) + (this.y * this.y); }, /** * Alters the length of the Point without changing the direction. * * @method Phaser.Point#setMagnitude * @param {number} magnitude - The desired magnitude of the resulting Point. * @return {Phaser.Point} This Point object. */ setMagnitude: function (magnitude) { return this.normalize().multiply(magnitude, magnitude); }, /** * Alters the Point object so that its length is 1, but it retains the same direction. * * @method Phaser.Point#normalize * @return {Phaser.Point} This Point object. */ normalize: function () { if (!this.isZero()) { var m = this.getMagnitude(); this.x /= m; this.y /= m; } return this; }, /** * Determine if this point is at 0,0. * * @method Phaser.Point#isZero * @return {boolean} True if this Point is 0,0, otherwise false. */ isZero: function () { return (this.x === 0 && this.y === 0); }, /** * The dot product of this and another Point object. * * @method Phaser.Point#dot * @param {Phaser.Point} a - The Point object to get the dot product combined with this Point. * @return {number} The result. */ dot: function (a) { return ((this.x * a.x) + (this.y * a.y)); }, /** * The cross product of this and another Point object. * * @method Phaser.Point#cross * @param {Phaser.Point} a - The Point object to get the cross product combined with this Point. * @return {number} The result. */ cross: function (a) { return ((this.x * a.y) - (this.y * a.x)); }, /** * Make this Point perpendicular (90 degrees rotation) * * @method Phaser.Point#perp * @return {Phaser.Point} This Point object. */ perp: function () { return this.setTo(-this.y, this.x); }, /** * Make this Point perpendicular (-90 degrees rotation) * * @method Phaser.Point#rperp * @return {Phaser.Point} This Point object. */ rperp: function () { return this.setTo(this.y, -this.x); }, /** * Right-hand normalize (make unit length) this Point. * * @method Phaser.Point#normalRightHand * @return {Phaser.Point} This Point object. */ normalRightHand: function () { return this.setTo(this.y * -1, this.x); }, /** * Math.floor() both the x and y properties of this Point. * * @method Phaser.Point#floor * @return {Phaser.Point} This Point object. */ floor: function () { return this.setTo(Math.floor(this.x), Math.floor(this.y)); }, /** * Math.ceil() both the x and y properties of this Point. * * @method Phaser.Point#ceil * @return {Phaser.Point} This Point object. */ ceil: function () { return this.setTo(Math.ceil(this.x), Math.ceil(this.y)); }, /** * Returns a string representation of this object. * * @method Phaser.Point#toString * @return {string} A string representation of the instance. */ toString: function () { return '[{Point (x=' + this.x + ' y=' + this.y + ')}]'; } }; Phaser.Point.prototype.constructor = Phaser.Point; /** * Adds the coordinates of two points together to create a new point. * * @method Phaser.Point.add * @param {Phaser.Point} a - The first Point object. * @param {Phaser.Point} b - The second Point object. * @param {Phaser.Point} [out] - Optional Point to store the value in, if not supplied a new Point object will be created. * @return {Phaser.Point} The new Point object. */ Phaser.Point.add = function (a, b, out) { if (typeof out === "undefined") { out = new Phaser.Point(); } out.x = a.x + b.x; out.y = a.y + b.y; return out; }; /** * Subtracts the coordinates of two points to create a new point. * * @method Phaser.Point.subtract * @param {Phaser.Point} a - The first Point object. * @param {Phaser.Point} b - The second Point object. * @param {Phaser.Point} [out] - Optional Point to store the value in, if not supplied a new Point object will be created. * @return {Phaser.Point} The new Point object. */ Phaser.Point.subtract = function (a, b, out) { if (typeof out === "undefined") { out = new Phaser.Point(); } out.x = a.x - b.x; out.y = a.y - b.y; return out; }; /** * Multiplies the coordinates of two points to create a new point. * * @method Phaser.Point.multiply * @param {Phaser.Point} a - The first Point object. * @param {Phaser.Point} b - The second Point object. * @param {Phaser.Point} [out] - Optional Point to store the value in, if not supplied a new Point object will be created. * @return {Phaser.Point} The new Point object. */ Phaser.Point.multiply = function (a, b, out) { if (typeof out === "undefined") { out = new Phaser.Point(); } out.x = a.x * b.x; out.y = a.y * b.y; return out; }; /** * Divides the coordinates of two points to create a new point. * * @method Phaser.Point.divide * @param {Phaser.Point} a - The first Point object. * @param {Phaser.Point} b - The second Point object. * @param {Phaser.Point} [out] - Optional Point to store the value in, if not supplied a new Point object will be created. * @return {Phaser.Point} The new Point object. */ Phaser.Point.divide = function (a, b, out) { if (typeof out === "undefined") { out = new Phaser.Point(); } out.x = a.x / b.x; out.y = a.y / b.y; return out; }; /** * Determines whether the two given Point objects are equal. They are considered equal if they have the same x and y values. * * @method Phaser.Point.equals * @param {Phaser.Point} a - The first Point object. * @param {Phaser.Point} b - The second Point object. * @return {boolean} A value of true if the Points are equal, otherwise false. */ Phaser.Point.equals = function (a, b) { return (a.x === b.x && a.y === b.y); }; /** * Returns the angle between two Point objects. * * @method Phaser.Point.angle * @param {Phaser.Point} a - The first Point object. * @param {Phaser.Point} b - The second Point object. * @return {number} The angle between the two Points. */ Phaser.Point.angle = function (a, b) { // return Math.atan2(a.x * b.y - a.y * b.x, a.x * b.x + a.y * b.y); return Math.atan2(a.y - b.y, a.x - b.x); }; /** * Returns the angle squared between two Point objects. * * @method Phaser.Point.angleSq * @param {Phaser.Point} a - The first Point object. * @param {Phaser.Point} b - The second Point object. * @return {number} The angle squared between the two Points. */ Phaser.Point.angleSq = function (a, b) { return a.subtract(b).angle(b.subtract(a)); }; /** * Creates a negative Point. * * @method Phaser.Point.negative * @param {Phaser.Point} a - The first Point object. * @param {Phaser.Point} [out] - Optional Point to store the value in, if not supplied a new Point object will be created. * @return {Phaser.Point} The new Point object. */ Phaser.Point.negative = function (a, out) { if (typeof out === "undefined") { out = new Phaser.Point(); } return out.setTo(-a.x, -a.y); }; /** * Adds two 2D Points together and multiplies the result by the given scalar. * * @method Phaser.Point.multiplyAdd * @param {Phaser.Point} a - The first Point object. * @param {Phaser.Point} b - The second Point object. * @param {number} s - The scaling value. * @param {Phaser.Point} [out] - Optional Point to store the value in, if not supplied a new Point object will be created. * @return {Phaser.Point} The new Point object. */ Phaser.Point.multiplyAdd = function (a, b, s, out) { if (typeof out === "undefined") { out = new Phaser.Point(); } return out.setTo(a.x + b.x * s, a.y + b.y * s); }; /** * Interpolates the two given Points, based on the `f` value (between 0 and 1) and returns a new Point. * * @method Phaser.Point.interpolate * @param {Phaser.Point} a - The first Point object. * @param {Phaser.Point} b - The second Point object. * @param {number} f - The level of interpolation between the two points. Indicates where the new point will be, along the line between pt1 and pt2. If f=1, pt1 is returned; if f=0, pt2 is returned. * @param {Phaser.Point} [out] - Optional Point to store the value in, if not supplied a new Point object will be created. * @return {Phaser.Point} The new Point object. */ Phaser.Point.interpolate = function (a, b, f, out) { if (typeof out === "undefined") { out = new Phaser.Point(); } return out.setTo(a.x + (b.x - a.x) * f, a.y + (b.y - a.y) * f); }; /** * Return a perpendicular vector (90 degrees rotation) * * @method Phaser.Point.perp * @param {Phaser.Point} a - The Point object. * @param {Phaser.Point} [out] - Optional Point to store the value in, if not supplied a new Point object will be created. * @return {Phaser.Point} The new Point object. */ Phaser.Point.perp = function (a, out) { if (typeof out === "undefined") { out = new Phaser.Point(); } return out.setTo(-a.y, a.x); }; /** * Return a perpendicular vector (-90 degrees rotation) * * @method Phaser.Point.rperp * @param {Phaser.Point} a - The Point object. * @param {Phaser.Point} [out] - Optional Point to store the value in, if not supplied a new Point object will be created. * @return {Phaser.Point} The new Point object. */ Phaser.Point.rperp = function (a, out) { if (typeof out === "undefined") { out = new Phaser.Point(); } return out.setTo(a.y, -a.x); }; /** * Returns the distance of this Point object to the given object (can be a Circle, Point or anything with x/y properties). * * @method Phaser.Point.distance * @param {object} a - The target object. Must have visible x and y properties that represent the center of the object. * @param {object} b - The target object. Must have visible x and y properties that represent the center of the object. * @param {boolean} [round=false] - Round the distance to the nearest integer. * @return {number} The distance between this Point object and the destination Point object. */ Phaser.Point.distance = function (a, b, round) { var distance = Phaser.Math.distance(a.x, a.y, b.x, b.y); return round ? Math.round(distance) : distance; }; /** * Project two Points onto another Point. * * @method Phaser.Point.project * @param {Phaser.Point} a - The first Point object. * @param {Phaser.Point} b - The second Point object. * @param {Phaser.Point} [out] - Optional Point to store the value in, if not supplied a new Point object will be created. * @return {Phaser.Point} The new Point object. */ Phaser.Point.project = function (a, b, out) { if (typeof out === "undefined") { out = new Phaser.Point(); } var amt = a.dot(b) / b.getMagnitudeSq(); if (amt !== 0) { out.setTo(amt * b.x, amt * b.y); } return out; }; /** * Project two Points onto a Point of unit length. * * @method Phaser.Point.projectUnit * @param {Phaser.Point} a - The first Point object. * @param {Phaser.Point} b - The second Point object. * @param {Phaser.Point} [out] - Optional Point to store the value in, if not supplied a new Point object will be created. * @return {Phaser.Point} The new Point object. */ Phaser.Point.projectUnit = function (a, b, out) { if (typeof out === "undefined") { out = new Phaser.Point(); } var amt = a.dot(b); if (amt !== 0) { out.setTo(amt * b.x, amt * b.y); } return out; }; /** * Right-hand normalize (make unit length) a Point. * * @method Phaser.Point.normalRightHand * @param {Phaser.Point} a - The Point object. * @param {Phaser.Point} [out] - Optional Point to store the value in, if not supplied a new Point object will be created. * @return {Phaser.Point} The new Point object. */ Phaser.Point.normalRightHand = function (a, out) { if (typeof out === "undefined") { out = new Phaser.Point(); } return out.setTo(a.y * -1, a.x); }; /** * Normalize (make unit length) a Point. * * @method Phaser.Point.normalize * @param {Phaser.Point} a - The Point object. * @param {Phaser.Point} [out] - Optional Point to store the value in, if not supplied a new Point object will be created. * @return {Phaser.Point} The new Point object. */ Phaser.Point.normalize = function (a, out) { if (typeof out === "undefined") { out = new Phaser.Point(); } var m = a.getMagnitude(); if (m !== 0) { out.setTo(a.x / m, a.y / m); } return out; }; /** * Rotates a Point around the x/y coordinates given to the desired angle. * * @method Phaser.Point.rotate * @param {Phaser.Point} a - The Point object to rotate. * @param {number} x - The x coordinate of the anchor point * @param {number} y - The y coordinate of the anchor point * @param {number} angle - The angle in radians (unless asDegrees is true) to rotate the Point to. * @param {boolean} [asDegrees=false] - Is the given rotation in radians (false) or degrees (true)? * @param {number} [distance] - An optional distance constraint between the Point and the anchor. * @return {Phaser.Point} The modified point object. */ Phaser.Point.rotate = function (a, x, y, angle, asDegrees, distance) { asDegrees = asDegrees || false; distance = distance || null; if (asDegrees) { angle = Phaser.Math.degToRad(angle); } // Get distance from origin (cx/cy) to this point if (distance === null) { distance = Math.sqrt(((x - a.x) * (x - a.x)) + ((y - a.y) * (y - a.y))); } var requiredAngle = angle + Math.atan2(a.y - y, a.x - x); return a.setTo(x + distance * Math.cos(requiredAngle), y + distance * Math.sin(requiredAngle)); }; /** * Calculates centroid (or midpoint) from an array of points. If only one point is provided, that point is returned. * * @method Phaser.Point.centroid * @param {Phaser.Point[]} points - The array of one or more points. * @param {Phaser.Point} [out] - Optional Point to store the value in, if not supplied a new Point object will be created. * @return {Phaser.Point} The new Point object. */ Phaser.Point.centroid = function (points, out) { if (typeof out === "undefined") { out = new Phaser.Point(); } if (Object.prototype.toString.call(points) !== '[object Array]') { throw new Error("Phaser.Point. Parameter 'points' must be an array"); } var pointslength = points.length; if (pointslength < 1) { throw new Error("Phaser.Point. Parameter 'points' array must not be empty"); } if (pointslength === 1) { out.copyFrom(points[0]); return out; } for (var i = 0; i < pointslength; i++) { Phaser.Point.add(out, points[i], out); } out.divide(pointslength, pointslength); return out; }; /** * Parses an object for x and/or y properties and returns a new Phaser.Point with matching values. * If the object doesn't contain those properties a Point with x/y of zero will be returned. * * @method Phaser.Point.parse * @static * @param {Object} obj - The object to parse. * @param {string} [xProp='x'] - The property used to set the Point.x value. * @param {string} [yProp='y'] - The property used to set the Point.y value. * @return {Phaser.Point} The new Point object. */ Phaser.Point.parse = function(obj, xProp, yProp) { xProp = xProp || 'x'; yProp = yProp || 'y'; var point = new Phaser.Point(); if (obj[xProp]) { point.x = parseInt(obj[xProp], 10); } if (obj[yProp]) { point.y = parseInt(obj[yProp], 10); } return point; }; // Because PIXI uses its own Point, we'll replace it with ours to avoid duplicating code or confusion. PIXI.Point = Phaser.Point;