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/*=========================================================================

  Program:   ORFEO Toolbox
  Language:  C++
  Date:      $Date$
  Version:   $Revision$


  Copyright (c) Centre National d'Etudes Spatiales. All rights reserved.
  See OTBCopyright.txt for details.


     This software is distributed WITHOUT ANY WARRANTY; without even
     the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
     PURPOSE.  See the above copyright notices for more information.

=========================================================================*/
#ifndef otbCBAMI_h
#define otbCBAMI_h

#include <vector>
#include "itkMath.h"

namespace otb
{

namespace Functor
{

template<class TInput1, class TInput2, class TOutput>
class CBAMI
{
public:

  typedef typename std::vector<TOutput>         VectorType;
  typedef typename VectorType::iterator         IteratorType;
  typedef typename std::vector<VectorType>      VectorOfVectorType;
  typedef typename VectorOfVectorType::iterator VecOfVecIteratorType;

  CBAMI() {}
  virtual ~CBAMI() {}
  inline TOutput operator ()(const TInput1& itA,
                             const TInput2& itB) const
  {
    double     epsilon = 0.01;
    VectorType vecA;
    VectorType vecB;

    for (unsigned long pos = 0; pos < itA.Size(); ++pos)
      {

      vecA.push_back(static_cast<double>(itA.GetPixel(pos)));
      vecB.push_back(static_cast<double>(itB.GetPixel(pos)));

      }

    normalizeInPlace(vecA);
    normalizeInPlace(vecB);

    return static_cast<TOutput>(-vcl_log(static_cast<double>(PhiMI(vecA, vecB) + epsilon)));
  }

protected:

  inline void normalizeInPlace(VectorType vx) const
  {

    TOutput Ex = 0.0;

    IteratorType itx;

    for (itx = vx.begin(); itx < vx.end(); ++itx)
      {
      Ex += static_cast<TOutput>(*itx);
      }

    Ex /= (vx.size());

    TOutput Vx = 0.0;

    for (itx = vx.begin(); itx < vx.end(); ++itx)
      {
      Vx += static_cast<TOutput>(vcl_pow(static_cast<double>((*itx) - Ex), 2));
      }

    Vx /= (vx.size());

    for (itx = vx.begin(); itx < vx.end(); ++itx)
      {
      (*itx) = ((*itx) - Ex) / static_cast<TOutput>(vcl_sqrt(static_cast<double>(Vx)));
      }

  }
  inline TOutput Exyc(VectorType vx, VectorType vy) const
  {

    TOutput Exy = 0.0;
    TOutput Ex = 0.0;
    TOutput Ey = 0.0;

    IteratorType itx;
    IteratorType ity;

    for (itx = vx.begin(), ity = vy.begin(); itx < vx.end(); ++itx, ++ity)
      {
      //Ex  += (*itx);
      //Ey  += (*ity);
      Exy += (*itx) * (*ity);

      }

    //Ex /= (vx.size());
    //Ey /= (vy.size());
    Exy /= (vx.size());

    return Exy - Ex * Ey;
  }

  inline TOutput Exyztc(VectorType vx, VectorType vy, VectorType vz, VectorType vt) const
  {

    TOutput Exyzt = 0.0;

    TOutput Exyz = 0.0;
    TOutput Exyt = 0.0;
    TOutput Exzt = 0.0;
    TOutput Eyzt = 0.0;

    TOutput Exy = 0.0;
    TOutput Exz = 0.0;
    TOutput Ext = 0.0;
    TOutput Eyz = 0.0;
    TOutput Eyt = 0.0;
    TOutput Ezt = 0.0;

    TOutput Ex = 0.0;
    TOutput Ey = 0.0;
    TOutput Ez = 0.0;
    TOutput Et = 0.0;

    IteratorType itx;
    IteratorType ity;
    IteratorType itz;
    IteratorType itt;

    for (itx = vx.begin(),
         ity = vy.begin(),
         itz = vz.begin(),
         itt = vt.begin();
         itx < vx.end();
         ++itx,
         ++ity,
         itz++,
         itt++)
      {
      //Ex  += (*itx);
      //Ey  += (*ity);
      //Ez  += (*itz);
      //Et  += (*itt);

      Exy += (*itx) * (*ity);
      Exz += (*itx) * (*itz);
      Ext += (*itx) * (*itt);
      Eyz += (*ity) * (*itz);
      Eyt += (*ity) * (*itt);
      Ezt += (*itz) * (*itt);

      Exyz += (*itx) * (*ity) * (*itz);
      Exyt += (*itx) * (*ity) * (*itt);
      Exzt += (*itx) * (*itz) * (*itt);
      Eyzt += (*ity) * (*itz) * (*itt);

      Exyzt += (*itx) * (*ity) * (*itz) * (*itt);

      }

    /*Ex  /= (vx.size());
    Ey  /= (vx.size());
    Ez  /= (vx.size());
    Et  /= (vx.size()); */

    Exy /= (vx.size());
    Exz /= (vx.size());
    Ext /= (vx.size());
    Eyz /= (vx.size());
    Eyt /= (vx.size());
    Ezt /= (vx.size());

    Exyz /= (vx.size());
    Exyt /= (vx.size());
    Exzt /= (vx.size());
    Eyzt /= (vx.size());

    TOutput result = Exyzt - Exyz * Et - Exyt * Ez - Exzt * Ey - Eyzt * Ex +
                     Exy * Ez * Et + Exz * Et * Ey + Ext * Ey * Ez + Eyz * Et * Ex + Eyt * Ex * Ez + Ezt * Ex * Ey -
                     3 * Ex * Ey * Ez * Et;

    return result;
  }

  inline TOutput Rxy(VectorType va, VectorType vb) const
  {

    return Exyc(va, vb);

  }

  inline TOutput Qxijkl(VectorType va, VectorType vb, VectorType vc, VectorType vd) const
  {
//    IteratorType ita;
//    IteratorType itb;
//    IteratorType itc;
//    IteratorType itd;

    TOutput Eabcd_c = Exyztc(va, vb, vc, vd);

    TOutput Eab_c = Exyc(va, vb);
    TOutput Eac_c = Exyc(va, vc);
    TOutput Ead_c = Exyc(va, vd);
    TOutput Ecd_c = Exyc(vc, vd);
    TOutput Ebd_c = Exyc(vb, vd);
    TOutput Ebc_c = Exyc(vb, vc);

    return Eabcd_c - Eab_c * Ecd_c - Eac_c * Ebd_c - Ead_c * Ebc_c;

  }

  inline TOutput PhiMI(VectorType v1, VectorType v2) const
  {

    VectorOfVectorType donnees;
    donnees.push_back(v1);
    donnees.push_back(v2);

    VecOfVecIteratorType iti;
    VecOfVecIteratorType itj;
    VecOfVecIteratorType itk;
    VecOfVecIteratorType itl;

    TOutput termeR = 0.0;
    TOutput termeQ = 0.0;

    for (iti = donnees.begin(); iti < donnees.end(); ++iti)
      for (itj = donnees.begin(); itj < donnees.end(); ++itj)
        {
        if (iti != itj) termeR += static_cast<TOutput>(vcl_pow(static_cast<double>(Rxy((*iti), (*itj))), 2));

        for (itk = donnees.begin(); itk < donnees.end(); ++itk)
          for (itl = donnees.begin(); itl < donnees.end(); itl++)
            {
            if ((iti != itj) || (iti != itk) ||
                (iti !=
                 itl))
              termeQ +=
                static_cast<TOutput>(vcl_pow(static_cast<double>(Qxijkl((*iti), (*itj), (*itk), (*itl))), 2));
            }
        }

    return 1.0 / 4.0 * termeR + 1.0 / 48.0 * termeQ;

  }

};
}

}

#endif