// Copyright 2008 The Closure Library Authors. All Rights Reserved. // // Licensed under the Apache License, Version 2.0 (the "License"); // you may not use this file except in compliance with the License. // You may obtain a copy of the License at // // http://www.apache.org/licenses/LICENSE-2.0 // // Unless required by applicable law or agreed to in writing, software // distributed under the License is distributed on an "AS-IS" BASIS, // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. // See the License for the specific language governing permissions and // limitations under the License. /** * @fileoverview A utility class for representing three-dimensional points. * * Based heavily on coordinate.js by: */ goog.provide('goog.math.Coordinate3'); /** * Class for representing coordinates and positions in 3 dimensions. * * @param {number=} opt_x X coordinate, defaults to 0. * @param {number=} opt_y Y coordinate, defaults to 0. * @param {number=} opt_z Z coordinate, defaults to 0. * @struct * @constructor */ goog.math.Coordinate3 = function(opt_x, opt_y, opt_z) { /** * X-value * @type {number} */ this.x = goog.isDef(opt_x) ? opt_x : 0; /** * Y-value * @type {number} */ this.y = goog.isDef(opt_y) ? opt_y : 0; /** * Z-value * @type {number} */ this.z = goog.isDef(opt_z) ? opt_z : 0; }; /** * Returns a new copy of the coordinate. * * @return {!goog.math.Coordinate3} A clone of this coordinate. */ goog.math.Coordinate3.prototype.clone = function() { return new goog.math.Coordinate3(this.x, this.y, this.z); }; if (goog.DEBUG) { /** * Returns a nice string representing the coordinate. * * @return {string} In the form (50, 73, 31). * @override */ goog.math.Coordinate3.prototype.toString = function() { return '(' + this.x + ', ' + this.y + ', ' + this.z + ')'; }; } /** * Compares coordinates for equality. * * @param {goog.math.Coordinate3} a A Coordinate3. * @param {goog.math.Coordinate3} b A Coordinate3. * @return {boolean} True iff the coordinates are equal, or if both are null. */ goog.math.Coordinate3.equals = function(a, b) { if (a == b) { return true; } if (!a || !b) { return false; } return a.x == b.x && a.y == b.y && a.z == b.z; }; /** * Returns the distance between two coordinates. * * @param {goog.math.Coordinate3} a A Coordinate3. * @param {goog.math.Coordinate3} b A Coordinate3. * @return {number} The distance between {@code a} and {@code b}. */ goog.math.Coordinate3.distance = function(a, b) { var dx = a.x - b.x; var dy = a.y - b.y; var dz = a.z - b.z; return Math.sqrt(dx * dx + dy * dy + dz * dz); }; /** * 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.Coordinate3} a A Coordinate3. * @param {goog.math.Coordinate3} b A Coordinate3. * @return {number} The squared distance between {@code a} and {@code b}. */ goog.math.Coordinate3.squaredDistance = function(a, b) { var dx = a.x - b.x; var dy = a.y - b.y; var dz = a.z - b.z; return dx * dx + dy * dy + dz * dz; }; /** * Returns the difference between two coordinates as a new * goog.math.Coordinate3. * * @param {goog.math.Coordinate3} a A Coordinate3. * @param {goog.math.Coordinate3} b A Coordinate3. * @return {!goog.math.Coordinate3} A Coordinate3 representing the difference * between {@code a} and {@code b}. */ goog.math.Coordinate3.difference = function(a, b) { return new goog.math.Coordinate3(a.x - b.x, a.y - b.y, a.z - b.z); }; /** * Returns the contents of this coordinate as a 3 value Array. * * @return {!Array} A new array. */ goog.math.Coordinate3.prototype.toArray = function() { return [this.x, this.y, this.z]; }; /** * Converts a three element array into a Coordinate3 object. If the value * passed in is not an array, not array-like, or not of the right length, an * error is thrown. * * @param {Array} a Array of numbers to become a coordinate. * @return {!goog.math.Coordinate3} A new coordinate from the array values. * @throws {Error} When the oject passed in is not valid. */ goog.math.Coordinate3.fromArray = function(a) { if (a.length <= 3) { return new goog.math.Coordinate3(a[0], a[1], a[2]); } throw Error('Conversion from an array requires an array of length 3'); };