// Copyright 2010-2018 Google LLC
// 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.
// [START program]
// [START import]
using System;
using System.Collections.Generic;
using Google.OrTools.ConstraintSolver;
// [END import]
///
/// Minimal TSP.
/// A description of the problem can be found here:
/// http://en.wikipedia.org/wiki/Travelling_salesman_problem.
///
public class TspCircuitBoard {
// [START data_model]
class DataModel {
public int[,] Locations = {
{288, 149}, {288, 129}, {270, 133}, {256, 141}, {256, 157}, {246, 157},
{236, 169}, {228, 169}, {228, 161}, {220, 169}, {212, 169}, {204, 169},
{196, 169}, {188, 169}, {196, 161}, {188, 145}, {172, 145}, {164, 145},
{156, 145}, {148, 145}, {140, 145}, {148, 169}, {164, 169}, {172, 169},
{156, 169}, {140, 169}, {132, 169}, {124, 169}, {116, 161}, {104, 153},
{104, 161}, {104, 169}, {90, 165}, {80, 157}, {64, 157}, {64, 165},
{56, 169}, {56, 161}, {56, 153}, {56, 145}, {56, 137}, {56, 129},
{56, 121}, {40, 121}, {40, 129}, {40, 137}, {40, 145}, {40, 153},
{40, 161}, {40, 169}, {32, 169}, {32, 161}, {32, 153}, {32, 145},
{32, 137}, {32, 129}, {32, 121}, {32, 113}, {40, 113}, {56, 113},
{56, 105}, {48, 99}, {40, 99}, {32, 97}, {32, 89}, {24, 89}, {16, 97},
{16, 109}, {8, 109}, {8, 97}, {8, 89}, {8, 81}, {8, 73}, {8, 65},
{8, 57}, {16, 57}, {8, 49}, {8, 41}, {24, 45}, {32, 41}, {32, 49},
{32, 57}, {32, 65}, {32, 73}, {32, 81}, {40, 83}, {40, 73}, {40, 63},
{40, 51}, {44, 43}, {44, 35}, {44, 27}, {32, 25}, {24, 25}, {16, 25},
{16, 17}, {24, 17}, {32, 17}, {44, 11}, {56, 9}, {56, 17}, {56, 25},
{56, 33}, {56, 41}, {64, 41}, {72, 41}, {72, 49}, {56, 49}, {48, 51},
{56, 57}, {56, 65}, {48, 63}, {48, 73}, {56, 73}, {56, 81}, {48, 83},
{56, 89}, {56, 97}, {104, 97}, {104, 105}, {104, 113}, {104, 121},
{104, 129}, {104, 137}, {104, 145}, {116, 145}, {124, 145}, {132, 145},
{132, 137}, {140, 137}, {148, 137}, {156, 137}, {164, 137}, {172, 125},
{172, 117}, {172, 109}, {172, 101}, {172, 93}, {172, 85}, {180, 85},
{180, 77}, {180, 69}, {180, 61}, {180, 53}, {172, 53}, {172, 61},
{172, 69}, {172, 77}, {164, 81}, {148, 85}, {124, 85}, {124, 93},
{124, 109}, {124, 125}, {124, 117}, {124, 101}, {104, 89}, {104, 81},
{104, 73}, {104, 65}, {104, 49}, {104, 41}, {104, 33}, {104, 25},
{104, 17}, {92, 9}, {80, 9}, {72, 9}, {64, 21}, {72, 25}, {80, 25},
{80, 25}, {80, 41}, {88, 49}, {104, 57}, {124, 69}, {124, 77}, {132, 81},
{140, 65}, {132, 61}, {124, 61}, {124, 53}, {124, 45}, {124, 37},
{124, 29}, {132, 21}, {124, 21}, {120, 9}, {128, 9}, {136, 9}, {148, 9},
{162, 9}, {156, 25}, {172, 21}, {180, 21}, {180, 29}, {172, 29},
{172, 37}, {172, 45}, {180, 45}, {180, 37}, {188, 41}, {196, 49},
{204, 57}, {212, 65}, {220, 73}, {228, 69}, {228, 77}, {236, 77},
{236, 69}, {236, 61}, {228, 61}, {228, 53}, {236, 53}, {236, 45},
{228, 45}, {228, 37}, {236, 37}, {236, 29}, {228, 29}, {228, 21},
{236, 21}, {252, 21}, {260, 29}, {260, 37}, {260, 45}, {260, 53},
{260, 61}, {260, 69}, {260, 77}, {276, 77}, {276, 69}, {276, 61},
{276, 53}, {284, 53}, {284, 61}, {284, 69}, {284, 77}, {284, 85},
{284, 93}, {284, 101}, {288, 109}, {280, 109}, {276, 101}, {276, 93},
{276, 85}, {268, 97}, {260, 109}, {252, 101}, {260, 93}, {260, 85},
{236, 85}, {228, 85}, {228, 93}, {236, 93}, {236, 101}, {228, 101},
{228, 109}, {228, 117}, {228, 125}, {220, 125}, {212, 117}, {204, 109},
{196, 101}, {188, 93}, {180, 93}, {180, 101}, {180, 109}, {180, 117},
{180, 125}, {196, 145}, {204, 145}, {212, 145}, {220, 145}, {228, 145},
{236, 145}, {246, 141}, {252, 125}, {260, 129}, {280, 133},
};
public int VehicleNumber = 1;
public int Depot = 0;
};
// [END data_model]
// [START euclidean_distance]
///
/// Euclidean distance implemented as a callback. It uses an array of
/// positions and computes the Euclidean distance between the two
/// positions of two different indices.
///
static long[,] ComputeEuclideanDistanceMatrix(in int[,] locations) {
// Calculate the distance matrix using Euclidean distance.
int locationNumber = locations.GetLength(0);
long[,] distanceMatrix = new long[locationNumber, locationNumber];
for (int fromNode = 0; fromNode < locationNumber; fromNode++) {
for (int toNode = 0; toNode < locationNumber; toNode++) {
if (fromNode == toNode)
distanceMatrix[fromNode, toNode] = 0;
else
distanceMatrix[fromNode, toNode] = (long)
Math.Sqrt(
Math.Pow(locations[toNode, 0] - locations[fromNode, 0], 2) +
Math.Pow(locations[toNode, 1] - locations[fromNode, 1], 2));
}
}
return distanceMatrix;
}
// [END euclidean_distance]
// [START solution_printer]
///
/// Print the solution.
///
static void PrintSolution(
in RoutingModel routing,
in RoutingIndexManager manager,
in Assignment solution) {
Console.WriteLine("Objective: {0}", solution.ObjectiveValue());
// Inspect solution.
Console.WriteLine("Route:");
long routeDistance = 0;
var index = routing.Start(0);
while (routing.IsEnd(index) == false) {
Console.Write("{0} -> ", manager.IndexToNode((int)index));
var previousIndex = index;
index = solution.Value(routing.NextVar(index));
routeDistance += routing.GetArcCostForVehicle(previousIndex, index, 0);
}
Console.WriteLine("{0}", manager.IndexToNode((int)index));
Console.WriteLine("Route distance: {0}m", routeDistance);
}
// [END solution_printer]
public static void Main(String[] args) {
// Instantiate the data problem.
// [START data]
DataModel data = new DataModel();
// [END data]
// Create Routing Index Manager
// [START index_manager]
RoutingIndexManager manager = new RoutingIndexManager(
data.Locations.GetLength(0),
data.VehicleNumber,
data.Depot);
// [END index_manager]
// Create Routing Model.
// [START routing_model]
RoutingModel routing = new RoutingModel(manager);
// [END routing_model]
// Define cost of each arc.
// [START transit_callback]
long[,] distanceMatrix = ComputeEuclideanDistanceMatrix(data.Locations);
int transitCallbackIndex = routing.RegisterTransitCallback(
(long fromIndex, long toIndex) => {
// Convert from routing variable Index to distance matrix NodeIndex.
var fromNode = manager.IndexToNode(fromIndex);
var toNode = manager.IndexToNode(toIndex);
return distanceMatrix[fromNode, toNode]; }
);
// [END transit_callback]
// [START arc_cost]
routing.SetArcCostEvaluatorOfAllVehicles(transitCallbackIndex);
// [END arc_cost]
// Setting first solution heuristic.
// [START parameters]
RoutingSearchParameters searchParameters =
operations_research_constraint_solver.DefaultRoutingSearchParameters();
searchParameters.FirstSolutionStrategy =
FirstSolutionStrategy.Types.Value.PathCheapestArc;
// [END parameters]
// Solve the problem.
// [START solve]
Assignment solution = routing.SolveWithParameters(searchParameters);
// [END solve]
// Print solution on console.
// [START print_solution]
PrintSolution(routing, manager, solution);
// [END print_solution]
}
}
// [END program]