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maths.ts

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Math utilities library for TypeScript, JavaScript and Node.js

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"use strict"; /** * @author Hector J. Vasquez <ipi.vasquez@gmail.com> * * @licence * 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. */ Object.defineProperty(exports, "__esModule", { value: true }); const std_ts_1 = require("std.ts"); const debug = require("debug"); exports.K = 100; // This will be a factor to multiply distance class World { /** * Initializes this world with towns and edges from one town to another. * @param townsCoordinates The list of towns on this world. */ constructor(townsCoordinates) { this.debug = debug('World'); // Creates the arrays of towns and edges this.debug('Mapping towns'); this._towns = townsCoordinates.map(t => { return { location: t, neighbors: [], edges: [] }; }); // Updates information about neighbors and edges this.debug('Sorting neighbors for each town'); for (let i = 0; i < this.towns.length; i++) { const nQueue = new std_ts_1.PriorityQueue(genCmp(i).bind(this)); for (let j = 0; j < this.towns.length; j++) { if (i > j) { this.towns[i].edges[j] = this.towns[j].edges[i]; } else if (i <= j) { const d = this.getDistance(i, j); this.towns[i].edges[j] = { pheromones: exports.K / d, distance: d }; } nQueue.push(j); } // Fill neighbors starting from nearest while (!nQueue.empty()) { this.towns[i].neighbors.push(nQueue.pop()); } } /** * Generates a function to compare and sort according to distances * from the received towns to the other town. * @param town * @returns A function made to compare two towns according to the * distance from another specified town. */ function genCmp(town) { // As function to be able to use bind method return function (a, b) { const aDistance = this.getDistance(town, a); const bDistance = this.getDistance(town, b); if (aDistance > bDistance) { return -1; } else if (aDistance < bDistance) { return 1; } else { return 0; } }; } } /** * Returns the list of towns in this world with his (x, y) locations. * @returns The towns in this world. */ get towns() { return this._towns; } /** * Updates the quantity of pheromones per path by multiplying the current * amount of pheromones times evaporationRate. * @param evaporationRate Determines how fast the pheromones will evaporate. */ evaporate(evaporationRate) { for (let i = 0; i < this.towns.length; i++) { // Updating half edges because edges are symmetrical for (let j = i; j < this.towns[i].edges.length; j++) { this.towns[i].edges[j].pheromones *= evaporationRate; } } } /** * Resets the initial amount of pheromones on each edge between towns. */ reset() { for (let i = 0; i < this.towns.length; i++) { for (let j = i + 1; j < this.towns.length; j++) { this.towns[i].edges[j].pheromones = exports.K / this.towns[i].edges[j].distance; } } } /** * Returns the requested path. * @param a The origin. * @param b The destination. * @returns Information about the path from a to b. */ getEdge(a, b) { return this.towns[a].edges[b]; } /** * Calculates the euclidean distance between point a and point b; a & b * must be numbers within the limits of the towns array. * @param a The first town. * @param b The second town. * @returns The distance between a town and b town. */ getDistance(a, b) { return euclideanDistance(this.towns[a].location, this.towns[b].location); } } exports.World = World; /** * Calculates euclidean distance between two points. * @param a The first point. * @param b The second point. * @returns The distance between a & b. */ function euclideanDistance(a, b) { return Math.pow((Math.pow((a.x - b.x), 2) + Math.pow((a.y - b.y), 2)), (1 / 2)); }