1 | #region License Information
|
---|
2 | /* HeuristicLab
|
---|
3 | * Copyright (C) 2002-2015 Heuristic and Evolutionary Algorithms Laboratory (HEAL)
|
---|
4 | *
|
---|
5 | * This file is part of HeuristicLab.
|
---|
6 | *
|
---|
7 | * HeuristicLab is free software: you can redistribute it and/or modify
|
---|
8 | * it under the terms of the GNU General Public License as published by
|
---|
9 | * the Free Software Foundation, either version 3 of the License, or
|
---|
10 | * (at your option) any later version.
|
---|
11 | *
|
---|
12 | * HeuristicLab is distributed in the hope that it will be useful,
|
---|
13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of
|
---|
14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
---|
15 | * GNU General Public License for more details.
|
---|
16 | *
|
---|
17 | * You should have received a copy of the GNU General Public License
|
---|
18 | * along with HeuristicLab. If not, see <http://www.gnu.org/licenses/>.
|
---|
19 | */
|
---|
20 | #endregion
|
---|
21 |
|
---|
22 | using System;
|
---|
23 |
|
---|
24 | namespace HeuristicLab.Problems.Instances {
|
---|
25 | public enum DistanceMeasure { Direct, Euclidean, RoundedEuclidean, UpperEuclidean, Geo, Manhattan, Maximum, Att };
|
---|
26 |
|
---|
27 | public static class DistanceHelper {
|
---|
28 | /// <summary>
|
---|
29 | /// If only the coordinates are given, can calculate the distance matrix.
|
---|
30 | /// </summary>
|
---|
31 | /// <returns>A full distance matrix between all cities.</returns>
|
---|
32 | public static double[,] GetDistanceMatrix(DistanceMeasure distanceMeasure, double[,] coordinates, double[,] distances, int dimension) {
|
---|
33 | if (distances != null) return distances;
|
---|
34 |
|
---|
35 | distances = new double[dimension, dimension];
|
---|
36 | for (int i = 0; i < dimension - 1; i++)
|
---|
37 | for (int j = i + 1; j < dimension; j++) {
|
---|
38 | distances[i, j] = GetDistance(i, j, distanceMeasure, coordinates, distances);
|
---|
39 | distances[j, i] = distances[i, j];
|
---|
40 | }
|
---|
41 |
|
---|
42 | return distances;
|
---|
43 | }
|
---|
44 |
|
---|
45 | public static double GetDistance(DistanceMeasure distanceMeasure, double x1, double y1, double x2, double y2) {
|
---|
46 | switch (distanceMeasure) {
|
---|
47 | case DistanceMeasure.Att:
|
---|
48 | return AttDistance(x1, y1, x2, y2);
|
---|
49 | case DistanceMeasure.Direct:
|
---|
50 | throw new ArgumentException("Direct distance measure requires distance matrix for distance calculation.");
|
---|
51 | case DistanceMeasure.Euclidean:
|
---|
52 | return EuclideanDistance(x1, y1, x2, y2);
|
---|
53 | case DistanceMeasure.Geo:
|
---|
54 | return GeoDistance(x1, y1, x2, y2);
|
---|
55 | case DistanceMeasure.Manhattan:
|
---|
56 | return ManhattanDistance(x1, y1, x2, y2);
|
---|
57 | case DistanceMeasure.Maximum:
|
---|
58 | return MaximumDistance(x1, y1, x2, y2);
|
---|
59 | case DistanceMeasure.RoundedEuclidean:
|
---|
60 | return Math.Round(EuclideanDistance(x1, y1, x2, y2));
|
---|
61 | case DistanceMeasure.UpperEuclidean:
|
---|
62 | return Math.Ceiling(EuclideanDistance(x1, y1, x2, y2));
|
---|
63 | default:
|
---|
64 | throw new InvalidOperationException("Distance measure is not known.");
|
---|
65 | }
|
---|
66 | }
|
---|
67 |
|
---|
68 | #region Private Helpers
|
---|
69 | private static double GetDistance(int i, int j, DistanceMeasure distanceMeasure, double[,] coordinates, double[,] distances) {
|
---|
70 | switch (distanceMeasure) {
|
---|
71 | case DistanceMeasure.Att:
|
---|
72 | return AttDistance(coordinates[i, 0], coordinates[i, 1], coordinates[j, 0], coordinates[j, 1]);
|
---|
73 | case DistanceMeasure.Direct:
|
---|
74 | return distances[i, j];
|
---|
75 | case DistanceMeasure.Euclidean:
|
---|
76 | return EuclideanDistance(coordinates[i, 0], coordinates[i, 1], coordinates[j, 0], coordinates[j, 1]);
|
---|
77 | case DistanceMeasure.Geo:
|
---|
78 | return GeoDistance(coordinates[i, 0], coordinates[i, 1], coordinates[j, 0], coordinates[j, 1]);
|
---|
79 | case DistanceMeasure.Manhattan:
|
---|
80 | return ManhattanDistance(coordinates[i, 0], coordinates[i, 1], coordinates[j, 0], coordinates[j, 1]);
|
---|
81 | case DistanceMeasure.Maximum:
|
---|
82 | return MaximumDistance(coordinates[i, 0], coordinates[i, 1], coordinates[j, 0], coordinates[j, 1]);
|
---|
83 | case DistanceMeasure.RoundedEuclidean:
|
---|
84 | return Math.Round(EuclideanDistance(coordinates[i, 0], coordinates[i, 1], coordinates[j, 0], coordinates[j, 1]));
|
---|
85 | case DistanceMeasure.UpperEuclidean:
|
---|
86 | return Math.Ceiling(EuclideanDistance(coordinates[i, 0], coordinates[i, 1], coordinates[j, 0], coordinates[j, 1]));
|
---|
87 | default:
|
---|
88 | throw new InvalidOperationException("Distance measure is not known.");
|
---|
89 | }
|
---|
90 | }
|
---|
91 |
|
---|
92 | private static double AttDistance(double x1, double y1, double x2, double y2) {
|
---|
93 | return Math.Ceiling(Math.Sqrt(((x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2)) / 10.0));
|
---|
94 | }
|
---|
95 |
|
---|
96 | private static double EuclideanDistance(double x1, double y1, double x2, double y2) {
|
---|
97 | return Math.Sqrt((x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2));
|
---|
98 | }
|
---|
99 |
|
---|
100 | private const double PI = 3.141592;
|
---|
101 | private const double RADIUS = 6378.388;
|
---|
102 | private static double GeoDistance(double x1, double y1, double x2, double y2) {
|
---|
103 | double latitude1, longitude1, latitude2, longitude2;
|
---|
104 | double q1, q2, q3;
|
---|
105 | double length;
|
---|
106 |
|
---|
107 | latitude1 = ConvertToRadian(x1);
|
---|
108 | longitude1 = ConvertToRadian(y1);
|
---|
109 | latitude2 = ConvertToRadian(x2);
|
---|
110 | longitude2 = ConvertToRadian(y2);
|
---|
111 |
|
---|
112 | q1 = Math.Cos(longitude1 - longitude2);
|
---|
113 | q2 = Math.Cos(latitude1 - latitude2);
|
---|
114 | q3 = Math.Cos(latitude1 + latitude2);
|
---|
115 |
|
---|
116 | length = (int)(RADIUS * Math.Acos(0.5 * ((1.0 + q1) * q2 - (1.0 - q1) * q3)) + 1.0);
|
---|
117 | return (length);
|
---|
118 | }
|
---|
119 |
|
---|
120 | private static double ConvertToRadian(double x) {
|
---|
121 | return PI * (Math.Truncate(x) + 5.0 * (x - Math.Truncate(x)) / 3.0) / 180.0;
|
---|
122 | }
|
---|
123 |
|
---|
124 | private static double ManhattanDistance(double x1, double y1, double x2, double y2) {
|
---|
125 | return Math.Round(Math.Abs(x1 - x2) + Math.Abs(y1 - y2), MidpointRounding.AwayFromZero);
|
---|
126 | }
|
---|
127 |
|
---|
128 | private static double MaximumDistance(double x1, double y1, double x2, double y2) {
|
---|
129 | return Math.Max(Math.Round(Math.Abs(x1 - x2), MidpointRounding.AwayFromZero), Math.Round(Math.Abs(y1 - y2), MidpointRounding.AwayFromZero));
|
---|
130 | }
|
---|
131 | #endregion
|
---|
132 | }
|
---|
133 | }
|
---|