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// @HEADER
// ************************************************************************
//
//           Galeri: Finite Element and Matrix Generation Package
//                 Copyright (2006) ETHZ/Sandia Corporation
//
// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
// license for use of this work by or on behalf of the U.S. Government.
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// modification, are permitted provided that the following conditions are
// met:
//
// 1. Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
//
// 2. Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in the
// documentation and/or other materials provided with the distribution.
//
// 3. Neither the name of the Corporation nor the names of the
// contributors may be used to endorse or promote products derived from
// this software without specific prior written permission.
//
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#ifndef GALERI_CAUCHY_H
#define GALERI_CAUCHY_H

#include "Galeri_Exception.h"
#include "Epetra_Comm.h"
#include "Epetra_BlockMap.h"
#include "Epetra_CrsMatrix.h"

namespace Galeri {
namespace Matrices {

template<typename int_type>
inline
Epetra_CrsMatrix* Cauchy(const Epetra_Map* Map)
{
  // this is actually a dense matrix, stored into Crs format
  int_type NumGlobalElements = (int_type) Map->NumGlobalElements64();
  int NumMyElements     = Map->NumMyElements();
  int_type* MyGlobalElements = 0;
  Map->MyGlobalElementsPtr(MyGlobalElements);

  Epetra_CrsMatrix* Matrix = new Epetra_CrsMatrix(Copy, *Map, NumGlobalElements);

  std::vector<double> Values(NumGlobalElements);
  std::vector<int_type>    Indices(NumGlobalElements);

  for (int i = 0 ; i < NumMyElements ; ++i) 
  {
    int_type NumEntries = NumGlobalElements;
    int_type iGlobal = MyGlobalElements[i];

    for (int_type jGlobal = 0 ; jGlobal < NumGlobalElements ; ++jGlobal) 
    {
      Indices[jGlobal] = jGlobal;
      Values[jGlobal]  = 1.0 / (iGlobal + 1 + jGlobal + 1);
    }

    Matrix->InsertGlobalValues(MyGlobalElements[i], NumEntries, 
                               &Values[0], &Indices[0]);
  }

  // Finish up, trasforming the matrix entries into local numbering,
  // to optimize data transfert during matrix-vector products
  Matrix->FillComplete();
  Matrix->OptimizeStorage();

  return(Matrix);
}

Epetra_CrsMatrix* Cauchy(const Epetra_Map* Map)
{
#ifndef EPETRA_NO_32BIT_GLOBAL_INDICES
  if(Map->GlobalIndicesInt()) {
	  return Cauchy<int>(Map);
  }
  else
#endif
#ifndef EPETRA_NO_64BIT_GLOBAL_INDICES
  if(Map->GlobalIndicesLongLong()) {
	  return Cauchy<long long>(Map);
  }
  else
#endif
    throw "Galeri::Matrices::Cauchy: GlobalIndices type unknown";
}

} // namespace Matrices
} // namespace Galeri
#endif