/*
* <DTLZ5Eval.cpp>
* Copyright (C) DOLPHIN Project-Team, INRIA Futurs, 2006-2008
* (C) OPAC Team, LIFL, 2002-2008
*
* Arnaud Liefooghe
* Jeremie Humeau
*
* 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
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*
* ParadisEO WebSite : http://paradiseo.gforge.inria.fr
* Contact: paradiseo-help@lists.gforge.inria.fr
*
*/
//-----------------------------------------------------------------------------

#include <DTLZ5Eval.h>

#define M_PI 3.14159265358979323846
#define M_PI_2 1.57079632679489661923

// Ce code est implémenté à partir de DEME:Dtlz1.cpp
void DTLZ5Eval::operator() (DTLZ & _element)
{
    if (_element.invalidObjectiveVector())
    {
        int nbFun= DTLZ::ObjectiveVector::nObjectives();
        int nbVar= _element.size();
        int k;
        double g, t;
        DTLZObjectiveVector objVec;

        double theta[nbFun-1];

        k = nbVar - nbFun + 1;
        g = 0.0;
        for (unsigned i = nbVar - k + 1; i <= nbVar; i++)
            g += pow(_element[i-1]-0.5,2);

        t= M_PI /(4 * (1 + g));

        theta[0]= M_PI_2 * _element[0];
        for (unsigned i = 1; i <= nbFun - 2 ; i++)
            theta[i]=  t * (1 + 2 * g * _element[i]);

        for (unsigned i = 1; i <= nbFun; i++) {
            double f = (1 + g);
            for (unsigned j = nbFun - i; j >= 1; j--)
                f *= cos(theta[j-1]);

            if (i > 1)
                f *= sin(theta[(nbFun - i + 1) - 1]);

            objVec[i-1] = f;
        }

        _element.objectiveVector(objVec);
    }
}