1 | #region License Information
|
---|
2 | /* HeuristicLab
|
---|
3 | * Copyright (C) 2002-2016 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 | using HeuristicLab.Common;
|
---|
24 | using HeuristicLab.Core;
|
---|
25 | using HeuristicLab.Data;
|
---|
26 | using HeuristicLab.Encodings.RealVectorEncoding;
|
---|
27 | using HeuristicLab.Persistence;
|
---|
28 |
|
---|
29 | namespace HeuristicLab.Problems.TestFunctions {
|
---|
30 | /// <summary>
|
---|
31 | /// The Ackley function as described in Eiben, A.E. and Smith, J.E. 2003. Introduction to Evolutionary Computation. Natural Computing Series, Springer-Verlag Berlin Heidelberg
|
---|
32 | /// is highly multimodal. It has a single global minimum at the origin with value 0.
|
---|
33 | /// </summary
|
---|
34 | [Item("AckleyEvaluator", "Evaluates the Ackley function on a given point. The optimum of this function is 0 at the origin. It is implemented as described in Eiben, A.E. and Smith, J.E. 2003. Introduction to Evolutionary Computation. Natural Computing Series, Springer-Verlag Berlin Heidelberg.")]
|
---|
35 | [StorableType("ccd4f1c9-5308-408e-8818-c581aeef6bc2")]
|
---|
36 | public class AckleyEvaluator : SingleObjectiveTestFunctionProblemEvaluator {
|
---|
37 | public override string FunctionName { get { return "Ackley"; } }
|
---|
38 | /// <summary>
|
---|
39 | /// Returns false as the Ackley function is a minimization problem.
|
---|
40 | /// </summary>
|
---|
41 | public override bool Maximization {
|
---|
42 | get { return false; }
|
---|
43 | }
|
---|
44 | /// <summary>
|
---|
45 | /// Gets the optimum function value (0).
|
---|
46 | /// </summary>
|
---|
47 | public override double BestKnownQuality {
|
---|
48 | get { return 0; }
|
---|
49 | }
|
---|
50 | /// <summary>
|
---|
51 | /// Gets the lower and upper bound of the function.
|
---|
52 | /// </summary>
|
---|
53 | public override DoubleMatrix Bounds {
|
---|
54 | get { return new DoubleMatrix(new double[,] { { -32.768, 32.768 } }); }
|
---|
55 | }
|
---|
56 | /// <summary>
|
---|
57 | /// Gets the minimum problem size (1).
|
---|
58 | /// </summary>
|
---|
59 | public override int MinimumProblemSize {
|
---|
60 | get { return 1; }
|
---|
61 | }
|
---|
62 | /// <summary>
|
---|
63 | /// Gets the (theoretical) maximum problem size (2^31 - 1).
|
---|
64 | /// </summary>
|
---|
65 | public override int MaximumProblemSize {
|
---|
66 | get { return int.MaxValue; }
|
---|
67 | }
|
---|
68 |
|
---|
69 | [StorableConstructor]
|
---|
70 | protected AckleyEvaluator(StorableConstructorFlag deserializing) : base(deserializing) { }
|
---|
71 | protected AckleyEvaluator(AckleyEvaluator original, Cloner cloner) : base(original, cloner) { }
|
---|
72 | public AckleyEvaluator() : base() { }
|
---|
73 |
|
---|
74 | public override IDeepCloneable Clone(Cloner cloner) {
|
---|
75 | return new AckleyEvaluator(this, cloner);
|
---|
76 | }
|
---|
77 |
|
---|
78 | public override RealVector GetBestKnownSolution(int dimension) {
|
---|
79 | return new RealVector(dimension);
|
---|
80 | }
|
---|
81 |
|
---|
82 | /// <summary>
|
---|
83 | /// Evaluates the Ackley function for a specific <paramref name="point"/>.
|
---|
84 | /// </summary>
|
---|
85 | /// <param name="point">N-dimensional point for which the test function should be evaluated.</param>
|
---|
86 | /// <returns>The result value of the Ackley function at the given point.</returns>
|
---|
87 | public static double Apply(RealVector point) {
|
---|
88 | double result;
|
---|
89 | double val;
|
---|
90 |
|
---|
91 | val = 0;
|
---|
92 | for (int i = 0; i < point.Length; i++)
|
---|
93 | val += point[i] * point[i];
|
---|
94 | val /= point.Length;
|
---|
95 | val = -0.2 * Math.Sqrt(val);
|
---|
96 | result = 20 - 20 * Math.Exp(val);
|
---|
97 |
|
---|
98 | val = 0;
|
---|
99 | for (int i = 0; i < point.Length; i++)
|
---|
100 | val += Math.Cos(2 * Math.PI * point[i]);
|
---|
101 | val /= point.Length;
|
---|
102 | result += Math.E - Math.Exp(val);
|
---|
103 | return (result);
|
---|
104 | }
|
---|
105 |
|
---|
106 | /// <summary>
|
---|
107 | /// Evaluates the test function for a specific <paramref name="point"/>.
|
---|
108 | /// </summary>
|
---|
109 | /// <remarks>Calls <see cref="Apply"/>.</remarks>
|
---|
110 | /// <param name="point">N-dimensional point for which the test function should be evaluated.</param>
|
---|
111 | /// <returns>The result value of the Ackley function at the given point.</returns>
|
---|
112 | public override double Evaluate(RealVector point) {
|
---|
113 | return Apply(point);
|
---|
114 | }
|
---|
115 | }
|
---|
116 | }
|
---|