/** * @license * Copyright The Closure Library Authors. * SPDX-License-Identifier: Apache-2.0 */ /** * @fileoverview A utility class for representing two-dimensional positions. */ goog.provide('goog.math.Coordinate'); goog.require('goog.math'); /** * Class for representing coordinates and positions. * @param {number=} opt_x Left, defaults to 0. * @param {number=} opt_y Top, defaults to 0. * @struct * @constructor */ goog.math.Coordinate = function(opt_x, opt_y) { 'use strict'; /** * X-value * @type {number} */ this.x = (opt_x !== undefined) ? opt_x : 0; /** * Y-value * @type {number} */ this.y = (opt_y !== undefined) ? opt_y : 0; }; /** * Returns a new copy of the coordinate. * @return {!goog.math.Coordinate} A clone of this coordinate. */ goog.math.Coordinate.prototype.clone = function() { 'use strict'; return new goog.math.Coordinate(this.x, this.y); }; if (goog.DEBUG) { /** * Returns a nice string representing the coordinate. * @return {string} In the form (50, 73). * @override */ goog.math.Coordinate.prototype.toString = function() { 'use strict'; return '(' + this.x + ', ' + this.y + ')'; }; } /** * Returns whether the specified value is equal to this coordinate. * @param {*} other Some other value. * @return {boolean} Whether the specified value is equal to this coordinate. */ goog.math.Coordinate.prototype.equals = function(other) { 'use strict'; return other instanceof goog.math.Coordinate && goog.math.Coordinate.equals(this, other); }; /** * Compares coordinates for equality. * @param {goog.math.Coordinate} a A Coordinate. * @param {goog.math.Coordinate} b A Coordinate. * @return {boolean} True iff the coordinates are equal, or if both are null. */ goog.math.Coordinate.equals = function(a, b) { 'use strict'; if (a == b) { return true; } if (!a || !b) { return false; } return a.x == b.x && a.y == b.y; }; /** * Returns the distance between two coordinates. * @param {!goog.math.Coordinate} a A Coordinate. * @param {!goog.math.Coordinate} b A Coordinate. * @return {number} The distance between `a` and `b`. */ goog.math.Coordinate.distance = function(a, b) { 'use strict'; var dx = a.x - b.x; var dy = a.y - b.y; return Math.sqrt(dx * dx + dy * dy); }; /** * Returns the magnitude of a coordinate. * @param {!goog.math.Coordinate} a A Coordinate. * @return {number} The distance between the origin and `a`. */ goog.math.Coordinate.magnitude = function(a) { 'use strict'; return Math.sqrt(a.x * a.x + a.y * a.y); }; /** * Returns the angle from the origin to a coordinate. * @param {!goog.math.Coordinate} a A Coordinate. * @return {number} The angle, in degrees, clockwise from the positive X * axis to `a`. */ goog.math.Coordinate.azimuth = function(a) { 'use strict'; return goog.math.angle(0, 0, a.x, a.y); }; /** * Returns the squared distance between two coordinates. Squared distances can * be used for comparisons when the actual value is not required. * * Performance note: eliminating the square root is an optimization often used * in lower-level languages, but the speed difference is not nearly as * pronounced in JavaScript (only a few percent.) * * @param {!goog.math.Coordinate} a A Coordinate. * @param {!goog.math.Coordinate} b A Coordinate. * @return {number} The squared distance between `a` and `b`. */ goog.math.Coordinate.squaredDistance = function(a, b) { 'use strict'; var dx = a.x - b.x; var dy = a.y - b.y; return dx * dx + dy * dy; }; /** * Returns the difference between two coordinates as a new * goog.math.Coordinate. * @param {!goog.math.Coordinate} a A Coordinate. * @param {!goog.math.Coordinate} b A Coordinate. * @return {!goog.math.Coordinate} A Coordinate representing the difference * between `a` and `b`. */ goog.math.Coordinate.difference = function(a, b) { 'use strict'; return new goog.math.Coordinate(a.x - b.x, a.y - b.y); }; /** * Returns the sum of two coordinates as a new goog.math.Coordinate. * @param {!goog.math.Coordinate} a A Coordinate. * @param {!goog.math.Coordinate} b A Coordinate. * @return {!goog.math.Coordinate} A Coordinate representing the sum of the two * coordinates. */ goog.math.Coordinate.sum = function(a, b) { 'use strict'; return new goog.math.Coordinate(a.x + b.x, a.y + b.y); }; /** * Rounds the x and y fields to the next larger integer values. * @return {!goog.math.Coordinate} This coordinate with ceil'd fields. */ goog.math.Coordinate.prototype.ceil = function() { 'use strict'; this.x = Math.ceil(this.x); this.y = Math.ceil(this.y); return this; }; /** * Rounds the x and y fields to the next smaller integer values. * @return {!goog.math.Coordinate} This coordinate with floored fields. */ goog.math.Coordinate.prototype.floor = function() { 'use strict'; this.x = Math.floor(this.x); this.y = Math.floor(this.y); return this; }; /** * Rounds the x and y fields to the nearest integer values. * @return {!goog.math.Coordinate} This coordinate with rounded fields. */ goog.math.Coordinate.prototype.round = function() { 'use strict'; this.x = Math.round(this.x); this.y = Math.round(this.y); return this; }; /** * Translates this box by the given offsets. If a `goog.math.Coordinate` * is given, then the x and y values are translated by the coordinate's x and y. * Otherwise, x and y are translated by `tx` and `opt_ty` * respectively. * @param {number|goog.math.Coordinate} tx The value to translate x by or the * the coordinate to translate this coordinate by. * @param {number=} opt_ty The value to translate y by. * @return {!goog.math.Coordinate} This coordinate after translating. */ goog.math.Coordinate.prototype.translate = function(tx, opt_ty) { 'use strict'; if (tx instanceof goog.math.Coordinate) { this.x += tx.x; this.y += tx.y; } else { this.x += Number(tx); if (typeof opt_ty === 'number') { this.y += opt_ty; } } return this; }; /** * Scales this coordinate by the given scale factors. The x and y values are * scaled by `sx` and `opt_sy` respectively. If `opt_sy` * is not given, then `sx` is used for both x and y. * @param {number} sx The scale factor to use for the x dimension. * @param {number=} opt_sy The scale factor to use for the y dimension. * @return {!goog.math.Coordinate} This coordinate after scaling. */ goog.math.Coordinate.prototype.scale = function(sx, opt_sy) { 'use strict'; var sy = (typeof opt_sy === 'number') ? opt_sy : sx; this.x *= sx; this.y *= sy; return this; }; /** * Rotates this coordinate clockwise about the origin (or, optionally, the given * center) by the given angle, in radians. * @param {number} radians The angle by which to rotate this coordinate * clockwise about the given center, in radians. * @param {!goog.math.Coordinate=} opt_center The center of rotation. Defaults * to (0, 0) if not given. */ goog.math.Coordinate.prototype.rotateRadians = function(radians, opt_center) { 'use strict'; var center = opt_center || new goog.math.Coordinate(0, 0); var x = this.x; var y = this.y; var cos = Math.cos(radians); var sin = Math.sin(radians); this.x = (x - center.x) * cos - (y - center.y) * sin + center.x; this.y = (x - center.x) * sin + (y - center.y) * cos + center.y; }; /** * Rotates this coordinate clockwise about the origin (or, optionally, the given * center) by the given angle, in degrees. * @param {number} degrees The angle by which to rotate this coordinate * clockwise about the given center, in degrees. * @param {!goog.math.Coordinate=} opt_center The center of rotation. Defaults * to (0, 0) if not given. */ goog.math.Coordinate.prototype.rotateDegrees = function(degrees, opt_center) { 'use strict'; this.rotateRadians(goog.math.toRadians(degrees), opt_center); };