moeoHypervolumeBinaryMetric.h

/*
* <moeoHypervolumeBinaryMetric.h>
* Copyright (C) DOLPHIN Project-Team, INRIA Futurs, 2006-2007
* (C) OPAC Team, LIFL, 2002-2007
*
* Arnaud Liefooghe
*
* This software is governed by the CeCILL license under French law and
* abiding by the rules of distribution of free software.  You can  use,
* modify and/ or redistribute the software under the terms of the CeCILL
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* "http://www.cecill.info".
*
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* modify and redistribute granted by the license, users are provided only
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* economic rights,  and the successive licensors  have only  limited liability.
*
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*/
//-----------------------------------------------------------------------------

#ifndef MOEOHYPERVOLUMEBINARYMETRIC_H_
#define MOEOHYPERVOLUMEBINARYMETRIC_H_

#include <stdexcept>
#include <comparator/moeoParetoObjectiveVectorComparator.h>
#include <metric/moeoNormalizedSolutionVsSolutionBinaryMetric.h>

template < class ObjectiveVector >
class moeoHypervolumeBinaryMetric : public moeoNormalizedSolutionVsSolutionBinaryMetric < ObjectiveVector, double >
  {
  public:

    moeoHypervolumeBinaryMetric(double _rho = 1.1) : rho(_rho)
    {
      // not-a-maximization problem check
      for (unsigned int i=0; i<ObjectiveVector::Traits::nObjectives(); i++)
        {
          if (ObjectiveVector::Traits::maximizing(i))
            {
              throw std::runtime_error("Hypervolume binary metric not yet implemented for a maximization problem in moeoHypervolumeBinaryMetric");
            }
        }
      // consistency check
      if (rho < 1)
        {
          std::cout << "Warning, value used to compute the reference point rho for the hypervolume calculation must not be smaller than 1" << std::endl;
          std::cout << "Adjusted to 1" << std::endl;
          rho = 1;
        }
    }


    double operator()(const ObjectiveVector & _o1, const ObjectiveVector & _o2)
    {
      double result;
      // if _o2 is dominated by _o1
      if ( paretoComparator(_o2,_o1) )
        {
          result = - hypervolume(_o1, _o2, ObjectiveVector::Traits::nObjectives()-1);
        }
      else
        {
          result = hypervolume(_o2, _o1, ObjectiveVector::Traits::nObjectives()-1);
        }
      return result;
    }


  private:

    double rho;
    using moeoNormalizedSolutionVsSolutionBinaryMetric < ObjectiveVector, double > :: bounds;
    moeoParetoObjectiveVectorComparator < ObjectiveVector > paretoComparator;


    double hypervolume(const ObjectiveVector & _o1, const ObjectiveVector & _o2, const unsigned int _obj, const bool _flag = false)
    {
      double result;
      double range = rho * bounds[_obj].range();
      double max = bounds[_obj].minimum() + range;
      // value of _1 for the objective _obj
      double v1 = _o1[_obj];
      // value of _2 for the objective _obj (if _flag=true, v2=max)
      double v2;
      if (_flag)
        {
          v2 = max;
        }
      else
        {
          v2 = _o2[_obj];
        }
      // computation of the volume
      if (_obj == 0)
        {
          if (v1 < v2)
            {
              result = (v2 - v1) / range;
            }
          else
            {
              result = 0;
            }
        }
      else
        {
          if (v1 < v2)
            {
              result = ( hypervolume(_o1, _o2, _obj-1, true) * (v2 - v1) / range ) + ( hypervolume(_o1, _o2, _obj-1) * (max - v2) / range );
            }
          else
            {
              result = hypervolume(_o1, _o2, _obj-1) * (max - v2) / range;
            }
        }
      return result;
    }

  };

#endif /*MOEOHYPERVOLUMEBINARYMETRIC_H_*/

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