source: branches/ProblemRefactoring/HeuristicLab.Problems.TestFunctions/3.3/Functions/Rosenbrock.cs @ 14815

#region License Information
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#endregion

using System;
using HeuristicLab.Common;
using HeuristicLab.Core;
using HeuristicLab.Data;
using HeuristicLab.Encodings.RealVectorEncoding;
using HeuristicLab.Persistence.Default.CompositeSerializers.Storable;

namespace HeuristicLab.Problems.TestFunctions {
  /// <summary>
  /// The Rosenbrock function features a flat valley in which the global optimum is located.
  /// It is implemented as generalized Rosenbrock function as for example given in Shang, Y.-W. and Qiu, Y.-H. 2006. A Note on the Extended Rosenbrock Function. Evolutionary Computation 14, pp. 119-126, MIT Press.
  /// </summary>
  [Item("Rosenbrock", @"The Rosenbrock function features a flat valley in which the global optimum is located.
For 2 and 3 dimensions the single minimum of this function is 0 at (1,1,...,1), for 4 to 30 dimensions there is an additional local minimum close to (-1,1,...,1).
It is unknown how many local minima there are for dimensions greater than 30.
It is implemented as generalized Rosenbrock function for which the 2 dimensional function is a special case, as for example given in Shang, Y.-W. and Qiu, Y.-H. 2006. A Note on the Extended Rosenbrock Function. Evolutionary Computation 14, pp. 119-126, MIT Press.")]
  [StorableClass]
  public class Rosenbrock : SingleObjectiveTestFunction {
    /// <summary>
    /// Returns false as the Rosenbrock function is a minimization problem.
    /// </summary>
    public override bool Maximization {
      get { return false; }
    }
    /// <summary>
    /// Gets the optimum function value (0).
    /// </summary>
    public override double BestKnownQuality {
      get { return 0; }
    }
    /// <summary>
    /// Gets the lower and upper bound of the function.
    /// </summary>
    public override DoubleMatrix Bounds {
      get { return new DoubleMatrix(new double[,] { { -2.048, 2.048 } }); }
    }
    /// <summary>
    /// Gets the minimum problem size (2).
    /// </summary>
    public override int MinimumProblemSize {
      get { return 2; }
    }
    /// <summary>
    /// Gets the (theoretical) maximum problem size (2^31 - 1).
    /// </summary>
    public override int MaximumProblemSize {
      get { return int.MaxValue; }
    }

    [StorableConstructor]
    protected Rosenbrock(bool deserializing) : base(deserializing) { }
    protected Rosenbrock(Rosenbrock original, Cloner cloner) : base(original, cloner) { }
    public Rosenbrock() : base() { }

    public override IDeepCloneable Clone(Cloner cloner) {
      return new Rosenbrock(this, cloner);
    }

    public override RealVector GetBestKnownSolution(int dimension) {
      if (dimension < 2) throw new ArgumentException(Name + ": This function is not defined for 1 dimension.");
      RealVector result = new RealVector(dimension);
      for (int i = 0; i < dimension; i++) result[i] = 1;
      return result;
    }

    /// <summary>
    /// Evaluates the test function for a specific <paramref name="point"/>.
    /// </summary>
    /// <param name="point">N-dimensional point for which the test function should be evaluated.</param>
    /// <returns>The result value of the Rosenbrock function at the given point.</returns>
    public static double Apply(RealVector point) {
      double result = 0;
      for (int i = 0; i < point.Length - 1; i++) {
        result += 100 * (point[i] * point[i] - point[i + 1]) * (point[i] * point[i] - point[i + 1]);
        result += (point[i] - 1) * (point[i] - 1);
      }
      return result;
    }

    /// <summary>
    /// Evaluates the test function for a specific <paramref name="point"/>.
    /// </summary>
    /// <remarks>Calls <see cref="Apply"/>.</remarks>
    /// <param name="point">N-dimensional point for which the test function should be evaluated.</param>
    /// <returns>The result value of the Rosenbrock function at the given point.</returns>
    public override double Evaluate(RealVector point) {
      return Apply(point);
    }
  }
}