Progate 道場コース Quest ドローンメールの回答ソースコード

!README.md

Progate 道場コース Quest ドローンメール

こちらの課題の最終問題にチャレンジしているソースコードです。

https://prog-8.com/lessons/quest/dojo/2

今のところ「294.67985 km」が最短です。 https://i.gyazo.com/4782085a01fa699093d84192f1b27c0b.png

焼きなまし法にヒントを得てやっています。 https://ja.wikipedia.org/wiki/%E7%84%BC%E3%81%8D%E3%81%AA%E3%81%BE%E3%81%97%E6%B3%95

.gitignore

node_modules
index.js

index.ts

import { evalRoutes, initRoute, NodeType, replacePoints, Route } from "./lib_route.ts";
import { getMinDistancePoint } from "./lib_calc.ts";
import { moveElementInArray, random, randomInt } from "./lib_misc.ts";

const NEIGHBOUR = (route: Route): Route => {
  const srcPointIndex = randomInt(route.points.length)
  const destPointIndex = getMinDistancePoint(route.points[srcPointIndex], route)
  const nextPoints = moveElementInArray(route.points, srcPointIndex, destPointIndex);
  return replacePoints(route, nextPoints);
};

const PROBABILITY = (e1: number, e2: number, t: number) => {
  if (e1 >= e2) {
    return 1;
  } else {
    return Math.E * ((e1 - e2) / t);
  }
};

const TEMPERATURE = (r: number): number => 0.8 ** r;

const simulatedAnnealing = (startRoute: Readonly<Route>, maxIter: Readonly<number>, goalDistance: Readonly<number>): Route => {
  let route: Route = startRoute;
  let bestRoute = route;

  for (let iter = 0; iter < maxIter; iter++) {
    const nextRoute: Route = NEIGHBOUR(route);
    evalRoutes(nextRoute);
    if (nextRoute.totalDistance < bestRoute.totalDistance) {
      bestRoute = nextRoute;
      if (bestRoute.totalDistance <= goalDistance) {
        return bestRoute;
      }
    }
    if (random() <= PROBABILITY(route.totalDistance, nextRoute.totalDistance, TEMPERATURE(iter / maxIter))) {
      route = nextRoute;
    }
  }
  return bestRoute;
};

export const start = (nodes: NodeType[]): void => {
  const GoalDistance = 260;
  const route = initRoute(nodes);
  let bestRoute = route;
  evalRoutes(route);

  while (bestRoute.totalDistance >= GoalDistance) {
    bestRoute = simulatedAnnealing(route, 1000000, GoalDistance);
    evalRoutes(bestRoute);
  }
};

lib_calc.ts

import { NodeType, Point, PointWithDistance, Route } from "./lib_route.ts";
import { random, randomInt } from "./lib_misc.ts";

export const calcDistance = (nodeA: NodeType, nodeB: NodeType) => {
  const [x, y] = nodeA;
  const [u, v] = nodeB;
  return Math.sqrt((x - u) * (x - u) + (y - v) * (y - v));
};

export const getInitRoutes = (route: Readonly<Route>): Point[] => {
  const { points } = route;
  // ランダムに再配置し直す
  const indexes = Array.from({ length: points.length }).map((_, index) => ({ index, random: random() }));
  indexes.sort((a, b) => a.random - b.random);
  return indexes.map(({ index }) => points[index]);
};

export const getTargetPoint = (route: Route): [/* index:*/ number, PointWithDistance] => {
  // 各ポイント間の距離を出して、その合計値の範囲内の乱数を生成して、そこに合致する地点を入れ替え対象として抽出する
  const total = route.points.reduce((total, point) => total + point.distance, 0);
  const randomDistance = random() * total;

  let current = 0;
  const index = route.points.findIndex((point) => {
    if (current < randomDistance && randomDistance <= (current + point.distance)) {
      return true;
    }
    current += point.distance;
    return false;
  });

  if (index < 1 || route.points[index] == null) {
    throw new Error(`Out of array range: ${index}`);
  }
  return [index, route.points[index]];
};

export const getMinDistancePoint = (srcPoint: PointWithDistance, route: Route): /* index: */number => {
  const { ignoreIds } = srcPoint;
  const candidatePoints = route.points.filter((point) => !ignoreIds.includes(point.id));
  const minDistancePoint = getSortedPointWithDistances(srcPoint, candidatePoints)[randomInt(1)];
  ignoreIds.push(minDistancePoint.id); // ※破壊的変更
  const index = route.points.findIndex((point) => point.id === minDistancePoint.id);
  if (index < 0) {
    throw new Error(`Point not found: ${minDistancePoint.id}`);
  }
  return index;
};

export const getSortedPointWithDistances = <T extends Point>(base: T, points: T[]): PointWithDistance[] => {
  const pointWithDistances: PointWithDistance[] = points.map((point): PointWithDistance => {
    const distance = calcDistance(base.node, point.node);
    return { ...point, distance };
  });
  pointWithDistances.sort((p1, p2) => p1.distance - p2.distance);
  return pointWithDistances;
};

lib_misc.ts

export const random = Math.random
export const randomInt = (range: number): number => Math.floor(random() * range);

export const moveElementInArray = <T>(arr: T[], src: number, dest: number): T[] => {
  if (arr[src] == null) {
    throw new Error(`Out of array range: ${src}(src) / ${arr.length}`);
  } else if (arr[dest] == null) {
    throw new Error(`Out of array range: ${dest}(dest) / ${arr.length}`);
  }
  const newArr: T[] = [];
  arr.forEach((el, index) => {
    if (index === dest) {
      newArr.push(arr[src]);
    }
    if (index !== src) {
      newArr.push(el);
    }
  });
  return newArr;
};

lib_route.ts

import { calcDistance } from "./lib_calc.ts";
import { random } from "./lib_misc.ts";

export type NodeType = [number, number]

export interface Point {
  node: NodeType;
  id: number;
  ignoreIds: number[];
}

export interface PointWithDistance extends Point {
  distance: number;
}

export interface Route {
  start: Point;
  points: PointWithDistance[];
  end: PointWithDistance;
  totalDistance: number;
}

export const evalRoutes = (route: Route): void => {
  // @ts-ignore
  if (typeof updateGraph === "function") {
    // @ts-ignore
    updateGraph(convRouteToIndexes(route));
  } else {
    console.log(`${route.totalDistance} km`);
  }
};

export const initRoute = (_nodes: NodeType[]): Readonly<Route> => {
  const [startNode, ...remainNodes] = _nodes;
  const start: Point = { node: startNode, id: 0, ignoreIds: [0] };
  const indexes = Array.from({ length: remainNodes.length }).map((_, index) => ({ index, random: random() }));
  indexes.sort((a, b) => a.random - b.random);
  let totalDistance: number = 0;
  const points: PointWithDistance[] = indexes.map(({ index }, i) => {
    const node = remainNodes[index];
    const distance = calcDistance(index === 0 ? startNode : remainNodes[index - 1], node);
    totalDistance += distance;
    return { id: i + 1, node, ignoreIds: [i + 1], distance };
  });
  const end: PointWithDistance = { ...start, distance: calcDistance(remainNodes[remainNodes.length - 1], startNode) };
  totalDistance += end.distance;
  return { start, points, end, totalDistance };
};

export const replacePoints = (route: Readonly<Route>, points: Point[]): Readonly<Route> => {
  if (route.points.length !== points.length) {
    throw new Error(`Unmatch points length: ${route.points.length} !== ${points.length}`);
  }

  let totalDistance: number = 0;
  const pointWithDistances: PointWithDistance[] = points.map((point, index) => {
    const distance = calcDistance(index === 0 ? route.start.node : points[index - 1].node, point.node);
    totalDistance += distance;
    return { ...point, distance };
  });
  const end: PointWithDistance = {
    ...route.start,
    distance: calcDistance(points[points.length - 1].node, route.end.node),
  };
  totalDistance += end.distance;

  return { ...route, points: pointWithDistances, totalDistance };
};

export const convRouteToIndexes = (route: Readonly<Route>): number[] => [
  route.start.id,
  ...route.points.map((point) => point.id),
  route.end.id,
];

package-lock.json

{
  "name": "progate-quest-dojo-2",
  "version": "0.0.1",
  "lockfileVersion": 2,
  "requires": true,
  "packages": {
    "": {
      "version": "0.0.1",
      "license": "MIT",
      "dependencies": {
        "esbuild": "^0.12.18"
      }
    },
    "node_modules/esbuild": {
      "version": "0.12.18",
      "resolved": "https://registry.npmjs.org/esbuild/-/esbuild-0.12.18.tgz",
      "integrity": "sha512-arWhBQSy+oiBAp8VRRCFvAU+3jyf0gGacABLO3haMHboXCDjzq4WUqyQklst2XRuFS8MXgap+9uvODqj9Iygpg==",
      "hasInstallScript": true,
      "bin": {
        "esbuild": "bin/esbuild"
      }
    }
  },
  "dependencies": {
    "esbuild": {
      "version": "0.12.18",
      "resolved": "https://registry.npmjs.org/esbuild/-/esbuild-0.12.18.tgz",
      "integrity": "sha512-arWhBQSy+oiBAp8VRRCFvAU+3jyf0gGacABLO3haMHboXCDjzq4WUqyQklst2XRuFS8MXgap+9uvODqj9Iygpg=="
    }
  }
}

package.json

{
  "name": "progate-quest-dojo-2",
  "version": "0.0.1",
  "private": true,
  "author": "mryhryki",
  "license": "MIT",
  "scripts": {
    "build": "esbuild index.ts --bundle --outfile=index.js && cat index.js | grep -Ev '^\\(\\(\\) => \\{$' | grep -Ev '^\\}\\)\\(\\);' | pbcopy",
    "test": "deno run test.ts"
  },
  "dependencies": {
    "esbuild": "^0.12.18"
  }
}

test.ts

import { start } from "./index.ts";

const data: [number, number][] = [[139.7025094214385,35.66392284066758],[138.422123,36.326878],[140.304015,40.276743],[135.282056,34.124785],[136.692448,35.066637],[139.414615,35.501027],[136.876174,35.154072],[130.462263,33.63918],[141.918184,43.932879],[136.07617,34.59151],[139.893762,39.002885],[130.3837,33.200967],[140.891265,37.853777],[133.569363,35.177164],[143.571268,43.293784],[144.111014,43.816714],[134.025012,34.349399],[142.437248,43.702455],[140.1345,35.653386],[138.813471,36.923889],[130.862296,33.489634],[141.246917,39.537107],[140.576021,36.48142],[142.345097,44.110272],[140.827179,42.780715],[134.228615,35.508259],[134.519306,33.922271],[134.040277,33.42695],[137.746827,34.708039],[140.678713,37.59049],[140.458626,36.45705],[138.324829,36.874538],[141.75258,39.057747],[137.546506,35.848492],[136.247967,36.231086],[131.061928,31.931928],[138.891767,35.424642],[134.043694,33.923684],[142.047411,43.722666],[136.764894,35.366834],[136.639668,35.458007],[142.834114,43.083333],[138.924892,35.787144],[137.256988,36.142345],[135.55148,34.680418],[135.733443,34.553246],[130.690471,31.98132],[136.250015,35.192316],[130.880994,32.613331],[134.382226,34.019749],[134.488069,35.50128],[142.020838,43.520879],[133.865767,33.995865],[140.375282,38.5943],[138.446402,36.046104],[130.434709,33.309483],[140.716562,41.757089],[139.662758,35.976364],[140.382435,35.859044],[140.972985,39.158154],[140.001914,35.673642],[137.764185,35.372441],[131.504216,32.277334],[139.407513,35.969142],[139.22574,37.918613],[132.444904,34.396743],[136.250601,35.212319],[131.034985,30.631215],[128.264275,26.709047],[140.290347,38.760851],[138.806344,36.528963],[135.737293,34.579559],[130.452364,32.916202],[137.91966,36.426035],[139.998081,36.032863],[132.722066,34.712147],[140.283705,38.33767],[139.84175,36.757923],[135.708455,34.594445],[129.272936,28.31852],[134.802114,34.750163],[138.415928,36.732142],[135.93971,34.029912],[136.277104,34.221556],[135.582075,34.71437],[131.186295,33.611226],[130.812582,33.46975],[140.877432,38.16315],[142.503693,43.829383],[134.430267,33.975981],[136.911144,34.934537],[132.767689,33.249501],[141.367222,40.649433],[132.487153,34.396257],[141.666528,44.000511],[140.721275,36.714995],[131.790262,34.576783],[141.133531,40.864448],[137.052583,35.088972],[135.157719,34.670509],[138.252921,34.793425],[136.119941,34.990005],[130.410958,33.168448],[130.862504,32.735828],[134.180629,34.039306],[139.213502,34.326527],[133.74785,34.258192],[141.212019,41.267566],[137.096648,35.078401],[139.119715,35.336532],[136.887375,36.658977],[139.359624,35.743657],[131.35203,32.744367],[134.351301,35.574484],[131.634475,33.720411],[146.003754,43.367617],[141.822185,44.93981],[136.108446,33.988403],[138.942141,35.472019],[134.489602,34.784897],[140.771564,37.67633],[142.359884,43.352004],[135.421682,34.839347],[137.849888,36.652257],[139.92474,35.898702],[139.052581,37.925918],[135.700915,34.667971],[138.575798,36.627368],[131.852412,33.07498],[139.370693,35.320696],[139.669449,35.559237],[138.362507,34.935385],[137.994064,36.649573],[130.617091,33.855015],[136.669667,35.228767],[134.32365,35.151143],[124.011919,24.237087],[139.691599,35.651328],[131.04874,31.533325],[133.85252,34.307609],[130.975388,33.754071],[143.605816,42.740969],[137.385277,35.652923],[140.034989,42.319471],[135.720024,34.559949],[132.215624,34.191974],[139.517168,36.222711],[129.709246,28.455927],[133.870164,34.215648],[132.440467,34.556528],[133.595496,33.977056],[130.456278,33.544607],[135.676083,34.937151],[142.416811,44.339032],[130.538246,33.313495],[142.848802,44.536152],[133.424796,33.549842],[139.2619,36.380676],[141.001775,37.589291],[132.92719,33.382026],[140.009996,35.785893],[140.632257,35.852291],[130.521948,33.683109],[133.729449,35.461787],[139.11947,36.217404],[138.620758,35.5253],[132.456472,34.470808],[140.179881,40.765644],[140.058927,36.841663],[137.082972,35.589429],[140.768765,35.741354],[141.248806,40.753548],[141.01314,38.329819],[140.384586,38.478148],[136.988176,35.446007],[135.909444,35.525772],[132.305406,34.192656],[142.299488,44.808344],[127.763168,26.365072],[140.429039,42.66462],[128.893582,27.835118],[141.777466,40.201584],[130.669891,33.832125],[130.513972,33.371616],[130.324091,32.113828],[138.287712,36.762996],[140.155211,38.291252],[140.602483,40.66294],[141.189104,38.675532],[136.920663,35.482293],[136.880159,34.74581],[140.949843,38.586634],[133.938305,34.649358],[137.395775,35.298233],[130.347052,33.290315],[140.356934,35.484474],[139.081551,35.996353],[136.772127,36.878001],[132.865658,34.215049],[130.908085,30.475122],[138.483474,35.492897],[140.919017,42.787224],[134.372976,34.920223],[134.259397,34.239052],[139.573051,35.835372],[136.658055,35.325597],[139.327472,36.049389],[136.144305,34.543335],[132.461707,33.322711],[132.95312,35.496685],[139.614145,35.837422],[138.874127,36.579994],[133.109112,36.096967],[140.122835,39.949749],[143.344835,44.340211],[140.788622,37.42509],[133.320986,36.235391],[137.207233,36.685821],[136.816885,35.29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start(data)