weak, strict and epsilon dominance added

git-svn-id: svn://scm.gforge.inria.fr/svnroot/paradiseo@1265 331e1502-861f-0410-8da2-ba01fb791d7f

trunk/paradiseo-moeo/src/comparator/moeoEpsilonObjectiveVectorComparator.h

@@ -0,0 +1,94 @@
+/*
+* <moeoEpsilonObjectiveVectorComparator.h>
+* Copyright (C) DOLPHIN Project-Team, INRIA Futurs, 2006-2008
+* (C) OPAC Team, LIFL, 2002-2008
+*
+* 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 MOEOEPSILONOBJECTIVEVECTORCOMPARATOR_H_
+#define MOEOEPSILONOBJECTIVEVECTORCOMPARATOR_H_
+
+#include <comparator/moeoObjectiveVectorComparator.h>
+
+/**
+ * This functor class allows to compare 2 objective vectors according to epsilon dominance.
+ */
+template < class ObjectiveVector >
+class moeoEpsilonObjectiveVectorComparator : public moeoObjectiveVectorComparator < ObjectiveVector >
+{
+public:
+
+    /**
+     * Ctor.
+     * @param _ref the reference point
+     */
+    moeoEpsilonObjectiveVectorComparator(double _epsilon) : epsilon(_epsilon)
+    {}
+
+    /**
+     * Returns true if _objectiveVector1 is epsilon-dominated by _objectiveVector2
+     * @param _objectiveVector1 the first objective vector
+     * @param _objectiveVector2 the second objective vector
+     */
+    const bool operator()(const ObjectiveVector & _objectiveVector1, const ObjectiveVector & _objectiveVector2)
+    {
+        for (unsigned int i=0; i<ObjectiveVector::nObjectives(); i++)
+        {
+            //  _objectiveVector1[i] == _objectiveVector2[i] ?
+            if ( fabs((_objectiveVector1[i]/ epsilon) - _objectiveVector2[i]) > ObjectiveVector::Traits::tolerance() )
+            {
+                if (ObjectiveVector::minimizing(i))
+                {
+                    if ((_objectiveVector1[i] / epsilon) <= _objectiveVector2[i])
+                    {
+                        return false;		// _objectiveVector1[i] is not better than _objectiveVector2[i]
+                    }
+                }
+                else if (ObjectiveVector::maximizing(i))
+                {
+                    if ((_objectiveVector1[i] / epsilon) >= _objectiveVector2[i])
+                    {
+                        return false;		// _objectiveVector1[i] is not better than _objectiveVector2[i]
+                    }
+                }
+            }
+        }
+        return true;
+    }
+
+private:
+    /** the reference point */
+    double epsilon;
+};
+
+#endif /*MOEOEPSILONOBJECTIVEVECTORCOMPARATOR_H_*/

trunk/paradiseo-moeo/src/comparator/moeoStrictObjectiveVectorComparator.h

@@ -0,0 +1,85 @@
+/*
+* <moeoStrictObjectiveVectorComparator.h>
+* Copyright (C) DOLPHIN Project-Team, INRIA Futurs, 2006-2008
+* (C) OPAC Team, LIFL, 2002-2008
+*
+* 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 MOEOSTRICTOBJECTIVEVECTORCOMPARATOR_H_
+#define MOEOSTRICTOBJECTIVEVECTORCOMPARATOR_H_
+
+#include <comparator/moeoObjectiveVectorComparator.h>
+
+/**
+ * This functor class allows to compare 2 objective vectors according to strict dominance.
+ */
+template < class ObjectiveVector >
+class moeoStrictObjectiveVectorComparator : public moeoObjectiveVectorComparator < ObjectiveVector >
+{
+public:
+
+    /**
+     * Returns true if _objectiveVector1 is strictly dominated by _objectiveVector2
+     * @param _objectiveVector1 the first objective vector
+     * @param _objectiveVector2 the second objective vector
+     */
+    const bool operator()(const ObjectiveVector & _objectiveVector1, const ObjectiveVector & _objectiveVector2)
+    {
+        for (unsigned int i=0; i<ObjectiveVector::nObjectives(); i++)
+        {
+            //  _objectiveVector1[i] == _objectiveVector2[i] ?
+            if ( fabs(_objectiveVector1[i] - _objectiveVector2[i]) < ObjectiveVector::Traits::tolerance() )
+            {
+                return false;		// _objectiveVector1[i] is not STRICTLY better than _objectiveVector2[i]
+            }
+            else if (ObjectiveVector::minimizing(i))
+            {
+                if (_objectiveVector1[i] < _objectiveVector2[i])
+                {
+                    return false;		// _objectiveVector1[i] is not better than _objectiveVector2[i]
+                }
+            }
+            else if (ObjectiveVector::maximizing(i))
+            {
+                if (_objectiveVector1[i] > _objectiveVector2[i])
+                {
+                    return false;		// _objectiveVector1[i] is not better than _objectiveVector2[i]
+                }
+            }
+        }
+        return true;
+    }
+
+};
+
+#endif /*MOEOSTRICTOBJECTIVEVECTORCOMPARATOR_H_*/

trunk/paradiseo-moeo/src/comparator/moeoWeakObjectiveVectorComparator.h

@@ -0,0 +1,84 @@
+/*
+* <moeoWeakObjectiveVectorComparator.h>
+* Copyright (C) DOLPHIN Project-Team, INRIA Futurs, 2006-2008
+* (C) OPAC Team, LIFL, 2002-2008
+*
+* 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 MOEOWEAKOBJECTIVEVECTORCOMPARATOR_H_
+#define MOEOWEAKOBJECTIVEVECTORCOMPARATOR_H_
+
+#include <comparator/moeoObjectiveVectorComparator.h>
+
+/**
+ * This functor class allows to compare 2 objective vectors according to weak dominance.
+ */
+template < class ObjectiveVector >
+class moeoWeakObjectiveVectorComparator : public moeoObjectiveVectorComparator < ObjectiveVector >
+{
+public:
+
+    /**
+     * Returns true if _objectiveVector1 is weakly dominated by _objectiveVector2
+     * @param _objectiveVector1 the first objective vector
+     * @param _objectiveVector2 the second objective vector
+     */
+    const bool operator()(const ObjectiveVector & _objectiveVector1, const ObjectiveVector & _objectiveVector2)
+    {
+        for (unsigned int i=0; i<ObjectiveVector::nObjectives(); i++)
+        {
+            //  _objectiveVector1[i] == _objectiveVector2[i] ?
+            if ( fabs(_objectiveVector1[i] - _objectiveVector2[i]) > ObjectiveVector::Traits::tolerance() )
+            {
+                if (ObjectiveVector::minimizing(i))
+                {
+                    if (_objectiveVector1[i] < _objectiveVector2[i])
+                    {
+                        return false;		// _objectiveVector1[i] is not better than _objectiveVector2[i]
+                    }
+                }
+                else if (ObjectiveVector::maximizing(i))
+                {
+                    if (_objectiveVector1[i] > _objectiveVector2[i])
+                    {
+                        return false;		// _objectiveVector1[i] is not better than _objectiveVector2[i]
+                    }
+                }
+            }
+        }
+        return true;
+    }
+
+};
+
+#endif /*MOEOWEAKOBJECTIVEVECTORCOMPARATOR_H_*/

trunk/paradiseo-moeo/src/moeo

@@ -58,16 +58,18 @@
 #include <archive/moeoSPEA2Archive.h>
 #include <archive/moeoBoundedArchive.h>
 
-
 #include <comparator/moeoAggregativeComparator.h>
 #include <comparator/moeoComparator.h>
 #include <comparator/moeoDiversityThenFitnessComparator.h>
+#include <comparator/moeoEpsilonObjectiveVectorComparator.h>
 #include <comparator/moeoFitnessThenDiversityComparator.h>
 #include <comparator/moeoGDominanceObjectiveVectorComparator.h>
 #include <comparator/moeoObjectiveVectorComparator.h>
 #include <comparator/moeoObjectiveObjectiveVectorComparator.h>
 #include <comparator/moeoOneObjectiveComparator.h>
 #include <comparator/moeoParetoObjectiveVectorComparator.h>
+#include <comparator/moeoStrictObjectiveVectorComparator.h>
+#include <comparator/moeoWeakObjectiveVectorComparator.h>
 
 #include <core/MOEO.h>
 #include <core/moeoBitVector.h>
@@ -120,7 +122,6 @@
 #include <metric/moeoHyperVolumeMetric.h>
 #include <metric/moeoHyperVolumeDifferenceMetric.h>
 
-
 #include <replacement/moeoElitistReplacement.h>
 #include <replacement/moeoEnvironmentalReplacement.h>
 #include <replacement/moeoGenerationalReplacement.h>

trunk/paradiseo-moeo/test/CMakeLists.txt

@@ -36,6 +36,9 @@ SET (TEST_LIST
 		t-moeoRealVector
 		t-moeoUnboundedArchive
 		t-moeoParetoObjectiveVectorComparator
+		t-moeoStrictObjectiveVectorComparator
+		t-moeoWeakObjectiveVectorComparator
+		t-moeoEpsilonObjectiveVectorComparator
 		t-moeoAggregativeComparator
 		t-moeoDiversityThenFitnessComparator
 		t-moeoFitnessThenDiversityComparator

trunk/paradiseo-moeo/test/t-moeoEpsilonObjectiveVectorComparator.cpp

@@ -0,0 +1,137 @@
+/*
+* <t-moeoEpsilonObjectiveVectorComparator.cpp>
+* Copyright (C) DOLPHIN Project-Team, INRIA Futurs, 2006-2008
+* (C) OPAC Team, LIFL, 2002-2008
+*
+* 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
+*
+*/
+//-----------------------------------------------------------------------------
+// t-moeoEpsilonObjectiveVectorComparator.cpp
+//-----------------------------------------------------------------------------
+
+#include <eo>
+#include <moeo>
+
+//-----------------------------------------------------------------------------
+
+class ObjectiveVectorTraits : public moeoObjectiveVectorTraits
+{
+public:
+    static bool minimizing (int i)
+    {
+        return true;
+    }
+    static bool maximizing (int i)
+    {
+        return false;
+    }
+    static unsigned int nObjectives ()
+    {
+        return 2;
+    }
+};
+
+typedef moeoRealObjectiveVector < ObjectiveVectorTraits > ObjectiveVector;
+
+typedef MOEO < ObjectiveVector > Solution;
+
+//-----------------------------------------------------------------------------
+
+int main()
+{
+    std::cout << "[moeoEpsilonObjectiveVectorComparator]\t=>\t";
+
+    // objective vectors
+    ObjectiveVector obj1;
+    obj1[0] = 2.0;
+    obj1[1] = 5.0;
+    ObjectiveVector obj2;
+    obj2[0] = 2.2;
+    obj2[1] = 5.5;
+    ObjectiveVector obj3;
+    obj3[0] = 3.0;
+    obj3[1] = 5.0;
+    ObjectiveVector obj4;
+    obj4[0] = 3.0;
+    obj4[1] = 6.0;
+
+    // epsilon
+    double epsilon = 1.1;
+    // comparator
+    moeoEpsilonObjectiveVectorComparator< ObjectiveVector > comparator(epsilon);
+
+    // obj1 dominated by obj2? NO
+    if (comparator(obj1, obj2))
+    {
+        std::cout << "ERROR (obj1 dominated by obj2)" << std::endl;
+        return EXIT_FAILURE;
+    }
+
+    // obj2 dominated by obj1? YES
+    if (! comparator(obj2, obj1))
+    {
+        std::cout << "ERROR (obj2 notdominated by obj1)" << std::endl;
+        return EXIT_FAILURE;
+    }
+
+    // obj1 dominated by obj3? NO
+    if (comparator(obj1, obj3))
+    {
+        std::cout << "ERROR (obj1 dominated by obj3)" << std::endl;
+        return EXIT_FAILURE;
+    }
+
+    // obj3 dominated by obj1? NO
+    if (comparator(obj3, obj1))
+    {
+        std::cout << "ERROR (obj3 dominated by obj1)" << std::endl;
+        return EXIT_FAILURE;
+    }
+
+    // obj1 dominated by obj4? NO
+    if (comparator(obj1, obj4))
+    {
+        std::cout << "ERROR (obj1 dominated by obj4)" << std::endl;
+        return EXIT_FAILURE;
+    }
+
+    // obj4 dominated by obj1? YES
+    if (! comparator(obj4, obj1))
+    {
+        std::cout << "ERROR (obj4 not dominated by obj1)" << std::endl;
+        return EXIT_FAILURE;
+    }
+
+    std::cout << "OK" << std::endl;
+    return EXIT_SUCCESS;
+}
+
+//-----------------------------------------------------------------------------

trunk/paradiseo-moeo/test/t-moeoStrictObjectiveVectorComparator.cpp

@@ -0,0 +1,132 @@
+/*
+* <t-moeoStrictObjectiveVectorComparator.cpp>
+* Copyright (C) DOLPHIN Project-Team, INRIA Futurs, 2006-2008
+* (C) OPAC Team, LIFL, 2002-2008
+*
+* 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
+*
+*/
+//-----------------------------------------------------------------------------
+// t-moeoStrictObjectiveVectorComparator.cpp
+//-----------------------------------------------------------------------------
+
+#include <eo>
+#include <moeo>
+
+//-----------------------------------------------------------------------------
+
+class ObjectiveVectorTraits : public moeoObjectiveVectorTraits
+{
+public:
+    static bool minimizing (int i)
+    {
+        return true;
+    }
+    static bool maximizing (int i)
+    {
+        return false;
+    }
+    static unsigned int nObjectives ()
+    {
+        return 2;
+    }
+};
+
+typedef moeoRealObjectiveVector < ObjectiveVectorTraits > ObjectiveVector;
+
+typedef MOEO < ObjectiveVector > Solution;
+
+//-----------------------------------------------------------------------------
+
+int main()
+{
+    std::cout << "[moeoStrictObjectiveVectorComparator]\t=>\t";
+
+    // objective vectors
+    ObjectiveVector obj1;
+    obj1[0] = 2.0;
+    obj1[1] = 5.0;
+    ObjectiveVector obj2;
+    obj2[0] = 3.0;
+    obj2[1] = 5.0;
+    ObjectiveVector obj3;
+    obj3[0] = 3.0;
+    obj3[1] = 7.0;
+
+    // comparator
+    moeoStrictObjectiveVectorComparator< ObjectiveVector > comparator;
+
+    // obj1 dominated by obj2? NO
+    if (comparator(obj1, obj2))
+    {
+        std::cout << "ERROR (obj1 dominated by obj2)" << std::endl;
+        return EXIT_FAILURE;
+    }
+
+    // obj2 dominated by obj1? NO
+    if (comparator(obj2, obj1))
+    {
+        std::cout << "ERROR (obj2 dominated by obj1)" << std::endl;
+        return EXIT_FAILURE;
+    }
+
+    // obj1 dominated by obj3? NO
+    if (comparator(obj1, obj3))
+    {
+        std::cout << "ERROR (obj1 dominated by obj3)" << std::endl;
+        return EXIT_FAILURE;
+    }
+
+    // obj3 dominated by obj1? YES
+    if (! comparator(obj3, obj1))
+    {
+        std::cout << "ERROR (obj3 not dominated by obj1)" << std::endl;
+        return EXIT_FAILURE;
+    }
+
+    // obj2 dominated by obj3? NO
+    if (comparator(obj2, obj3))
+    {
+        std::cout << "ERROR (obj2 dominated by obj3)" << std::endl;
+        return EXIT_FAILURE;
+    }
+
+    // obj3 dominated by obj2? NO
+    if (comparator(obj3, obj2))
+    {
+        std::cout << "ERROR (obj3 dominated by obj2)" << std::endl;
+        return EXIT_FAILURE;
+    }
+
+    std::cout << "OK" << std::endl;
+    return EXIT_SUCCESS;
+}
+
+//-----------------------------------------------------------------------------

trunk/paradiseo-moeo/test/t-moeoWeakObjectiveVectorComparator.cpp

@@ -0,0 +1,135 @@
+/*
+* <t-moeoWeakObjectiveVectorComparator.cpp>
+* Copyright (C) DOLPHIN Project-Team, INRIA Futurs, 2006-2008
+* (C) OPAC Team, LIFL, 2002-2008
+*
+* 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
+*
+*/
+//-----------------------------------------------------------------------------
+// t-moeoWeakObjectiveVectorComparator.cpp
+//-----------------------------------------------------------------------------
+
+#include <eo>
+#include <moeo>
+
+//-----------------------------------------------------------------------------
+
+class ObjectiveVectorTraits : public moeoObjectiveVectorTraits
+{
+public:
+    static bool minimizing (int i)
+    {
+        return true;
+    }
+    static bool maximizing (int i)
+    {
+        return false;
+    }
+    static unsigned int nObjectives ()
+    {
+        return 2;
+    }
+};
+
+typedef moeoRealObjectiveVector < ObjectiveVectorTraits > ObjectiveVector;
+
+typedef MOEO < ObjectiveVector > Solution;
+
+//-----------------------------------------------------------------------------
+
+int main()
+{
+    std::cout << "[moeoWeakObjectiveVectorComparator]\t=>\t";
+
+    // objective vectors
+    ObjectiveVector obj1;
+    obj1[0] = 2.0;
+    obj1[1] = 5.0;
+    ObjectiveVector obj2;
+    obj2[0] = 2.0;
+    obj2[1] = 5.0;
+    ObjectiveVector obj3;
+    obj3[0] = 3.0;
+    obj3[1] = 5.0;
+    ObjectiveVector obj4;
+    obj4[0] = 3.0;
+    obj4[1] = 6.0;
+
+    // comparator
+    moeoWeakObjectiveVectorComparator< ObjectiveVector > comparator;
+
+    // obj1 dominated by obj2? YES
+    if (! comparator(obj1, obj2))
+    {
+        std::cout << "ERROR (obj1 not dominated by obj2)" << std::endl;
+        return EXIT_FAILURE;
+    }
+
+    // obj2 dominated by obj1? YES
+    if (! comparator(obj2, obj1))
+    {
+        std::cout << "ERROR (obj2 not dominated by obj1)" << std::endl;
+        return EXIT_FAILURE;
+    }
+
+    // obj1 dominated by obj3? NO
+    if (comparator(obj1, obj3))
+    {
+        std::cout << "ERROR (obj1 dominated by obj3)" << std::endl;
+        return EXIT_FAILURE;
+    }
+
+    // obj3 dominated by obj1? YES
+    if (! comparator(obj3, obj1))
+    {
+        std::cout << "ERROR (obj3 not dominated by obj1)" << std::endl;
+        return EXIT_FAILURE;
+    }
+
+    // obj3 dominated by obj4? NO
+    if (comparator(obj3, obj4))
+    {
+        std::cout << "ERROR (obj3 dominated by obj4)" << std::endl;
+        return EXIT_FAILURE;
+    }
+
+    // obj4 dominated by obj3? YES
+    if (! comparator(obj4, obj3))
+    {
+        std::cout << "ERROR (obj4 not dominated by obj3)" << std::endl;
+        return EXIT_FAILURE;
+    }
+
+    std::cout << "OK" << std::endl;
+    return EXIT_SUCCESS;
+}
+
+//-----------------------------------------------------------------------------