moeoHyperVolumeUnaryMetric added (not finished)

git-svn-id: svn://scm.gforge.inria.fr/svnroot/paradiseo@1230 331e1502-861f-0410-8da2-ba01fb791d7f
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jhumeau 2008-07-30 15:34:27 +00:00
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/*
* <moeoHyperVolumeUnaryMetric.h>
* Copyright (C) DOLPHIN Project-Team, INRIA Futurs, 2006-2007
* (C) OPAC Team, LIFL, 2002-2007
*
* Jeremie Humeau
* 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
* license as circulated by CEA, CNRS and INRIA at the following URL
* "http://www.cecill.info".
*
* As a counterpart to the access to the source code and rights to copy,
* modify and redistribute granted by the license, users are provided only
* with a limited warranty and the software's author, the holder of the
* economic rights, and the successive licensors have only limited liability.
*
* In this respect, the user's attention is drawn to the risks associated
* with loading, using, modifying and/or developing or reproducing the
* software by the user in light of its specific status of free software,
* that may mean that it is complicated to manipulate, and that also
* therefore means that it is reserved for developers and experienced
* professionals having in-depth computer knowledge. Users are therefore
* encouraged to load and test the software's suitability as regards their
* requirements in conditions enabling the security of their systems and/or
* data to be ensured and, more generally, to use and operate it in the
* same conditions as regards security.
* The fact that you are presently reading this means that you have had
* knowledge of the CeCILL license and that you accept its terms.
*
* ParadisEO WebSite : http://paradiseo.gforge.inria.fr
* Contact: paradiseo-help@lists.gforge.inria.fr
*
*/
//-----------------------------------------------------------------------------
#ifndef MOEOHYPERVOLUMEUNARYMETRIC_H_
#define MOEOHYPERVOLUMEUNARYMETRIC_H_
#include <metric/moeoMetric.h>
/**
* The contribution metric evaluates the proportion of non-dominated solutions given by a Pareto set relatively to another Pareto set
* (Meunier, Talbi, Reininger: 'A multiobjective genetic algorithm for radio network optimization', in Proc. of the 2000 Congress on Evolutionary Computation, IEEE Press, pp. 317-324)
*/
template < class ObjectiveVector >
class moeoHyperVolumeUnaryMetric : public moeoVectorUnaryMetric < ObjectiveVector , double >
{
public:
/**
* Default Construtcor
* @param _normalize allow to normalize data (default true)
*/
moeoHyperVolumeUnaryMetric(bool _normalize=true, double _rho=1.1): normalize(_normalize), rho(_rho){
bounds.resize(ObjectiveVector::Traits::nObjectives());
// initialize bounds in case someone does not want to use them
for (unsigned int i=0; i<ObjectiveVector::Traits::nObjectives(); i++)
{
bounds[i] = eoRealInterval(0,1);
}
}
/**
* calculates and returns the HyperVolume value of a pareto front
* @param _set the vector contains all objective Vector of pareto front
*/
double operator()(const std::vector < ObjectiveVector > & _set)
{
return 0.0;
}
std::vector < eoRealInterval > getBounds(){
return bounds;
}
/**
* method caclulate bounds for the normalization
* @param _set the vector of objective vectors
*/
void setup(const std::vector < ObjectiveVector > & _set){
if(_set.size() < 1)
throw("Error in moeoHyperVolumeUnaryMetric::setup -> argument1: vector<ObjectiveVector> size must be greater than 0");
else{
double min, max;
unsigned int nbObj=ObjectiveVector::Traits::nObjectives();
bounds.resize(nbObj);
for (unsigned int i=0; i<nbObj; i++){
min = _set[0][i];
max = _set[0][i];
for (unsigned int j=1; j<_set.size(); j++){
min = std::min(min, _set[j][i]);
max = std::max(max, _set[j][i]);
}
bounds[i] = eoRealInterval(min, max);
}
}
}
/**
* method calculate if a point dominates another one regarding the x first objective
* @param _point1 a vector of distances
* @param _point2 a vector of distances
* @param _no_objectives a number of objectives
* @return true if '_point1' dominates '_point2' with respect to the first 'no_objectives' objectives
*/
bool dominates(std::vector<double>& _point1, std::vector<double>& _point2, unsigned int _no_objectives){
unsigned int i;
bool better_in_any_objective = false;
bool worse_in_any_objective = false;
for(i=0; i < _no_objectives && !worse_in_any_objective; i++){
if(_point1[i] > _point2[i])
better_in_any_objective = true;
else if(_point1[i] < _point2[i])
worse_in_any_objective = true;
}
//_point1 dominates _point2 if it is better than _point2 on a objective and if it is never worse in any other objectives
return(!worse_in_any_objective && better_in_any_objective);
}
/**
* swap two elements of a vector
* @param _front the vector
* @param _i index of the first element to swap
* @param _j index of the second element to swap
*/
void swap(std::vector< std::vector<double> >& _front, unsigned int _i, unsigned int _j){
_front.push_back(_front[_i]);
_front[_i]= _front[_j];
_front[_j]=_front.back();
_front.pop_back();
}
/**
* collect all nondominated points regarding the first '_no_objectives' objectives (dominated points are stored at the end of _front)
* @param _front the front
* @param _no_points the number of points of the front to consider (index 0 to _no_points are considered)
* @param _no_objectives the number of objective to consider
* @return the index of the last nondominated point
*/
unsigned int filter_nondominated_set( std::vector < std::vector< double > >& _front, unsigned int _no_points, unsigned int _no_objectives){
unsigned int i,j,n;
n=_no_points;
i=0;
while(i < n){
j=i+1;
while(j < n){
//if a point 'A' (index i) dominates another one 'B' (index j), swap 'B' with the point of index n-1
if( dominates(_front[i], _front[j], _no_objectives)){
n--;
swap(_front, j, n);
}
//if a point 'B'(index j) dominates another one 'A' (index i), swap 'A' with the point of index n-1
else if( dominates(_front[j], _front[i], _no_objectives)){
n--;
swap(_front, i, n);
i--;
break;
}
else
j++;
}
i++;
}
return n;
}
/**
* @param _front the front
* @param _no_points the number of points of the front to consider (index 0 to _no_points are considered)
* @param _objective the objective to consider
* @return the minimum value regarding dimension '_objective' consider points O to _no_points in '_front'
*/
double surface_unchanged_to(std::vector < std::vector< double > >& _front, unsigned int _no_points, unsigned int _objective){
unsigned int i;
double min, value;
if(_no_points < 1)
throw("Error in moeoHyperVolumeUnaryMetric::surface_unchanged_to -> argument2: _no_points must be greater than 0");
min = _front[0][_objective];
for(i=1; i < _no_points; i++){
value = _front[i][_objective];
if(value < min)
min = value;
}
return min;
}
/**
* remove all points having a value <= 'threshold' regarding the dimension 'objective', only points of index 0 to _no_points are considered.
* points removed are swap at the end of the front.
* @param _front the front
* @param _no_points the number of points of the front to consider (index 0 to _no_points are considered)
* @param _objective the objective to consider
* @param _threshold the threshold
* @return index of the last points of '_front' greater than the threshold
*/
unsigned int reduce_nondominated_set(std::vector < std::vector< double > >& _front, unsigned int _no_points, unsigned int _objective, double _threshold){
unsigned int i,n ;
n=_no_points;
for(i=0; i < n ; i++)
if(_front[i][_objective] <= _threshold){
n--;
swap(_front, i, n);
i--; //ATTENTION I had this to reconsider the point copied to index i (it can be useless verify algorythimic in calc_hypervolume)
}
return n;
}
/**
* calculate hypervolume of the front (data are redrafted before)
* @param _front the front
* @param _no_points the number of points of the front to consider (index 0 to _no_points are considered)
* @param _no_objectives the number of objective to consider
* @return the hypervolume of the front
*/
double calc_hypervolume(std::vector < std::vector< double > >& _front, unsigned int _no_points, unsigned int _no_objectives){
unsigned int n;
double volume, distance;
volume=0;
distance=0;
n=_no_points;
while(n > 0){
unsigned int no_nondominated_points;
double temp_vol, temp_dist;
//get back the index of non dominated points of the front regarding the first "_nb_objectives - 1" objectives
//So one dimension is not determinante for the dominance
no_nondominated_points = filter_nondominated_set(_front, n, _no_objectives - 1);
temp_vol=0;
//if there are less than 3 objectifs take the fisrt objectif of the first point of front to begin computation of hypervolume
if(_no_objectives < 3){
if(_no_objectives < 1)
throw("Error in moeoHyperVolumeUnaryMetric::calc_hypervolume -> argument3: _no_objectives must be greater than 0");
temp_vol=_front[0][0];
}
//else if there at least 3 objectives, a recursive computation of hypervolume starts with _no_objectives -1 on the filter_nondominated_set calculating previously.
else
temp_vol= calc_hypervolume(_front, no_nondominated_points, _no_objectives - 1);
//search the next minimum distance on the dimension _no_objectives -1
temp_dist = surface_unchanged_to(_front, n, _no_objectives - 1);
//calculate the area
volume+= temp_vol * (temp_dist - distance);
//change distance to have the good lenght on next step
distance= temp_dist;
//remove all points <= distance on dimension _no_objectives
n=reduce_nondominated_set(_front, n , _no_objectives - 1, distance);
}
return volume;
}
private:
/*boolean indicates if data must be normalized or not*/
bool normalize;
double rho;
/*vectors contains bounds for normalization*/
std::vector < eoRealInterval > bounds;
};
#endif /*MOEOHYPERVOLUMEUNARYMETRIC_H_*/