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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.
//
// Redistribution and use in source and binary forms, with or without
// 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.
//
// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
// PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
// LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
// Questions about Galeri? Contact Marzio Sala (marzio.sala _AT_ gmail.com)
//
// ************************************************************************
// @HEADER
#ifndef GALERI_LAPLACE1DNEUMANNMATRIX_H
#define GALERI_LAPLACE1DNEUMANNMATRIX_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* Laplace1DNeumann(const Epetra_Map* Map)
{
  int NumMyElements     = Map->NumMyElements();
  int_type NumGlobalElements = (int_type) Map->NumGlobalElements64();
  int_type* MyGlobalElements = 0;
  Map->MyGlobalElementsPtr(MyGlobalElements);

  Epetra_CrsMatrix* Matrix = new Epetra_CrsMatrix(Copy, *Map, 3);

  std::vector<double> Values(2);
  std::vector<int_type> Indices(2);
  int NumEntries;

  for (int i = 0 ; i < NumMyElements ; ++i) 
  {
    if (MyGlobalElements[i] == 0) 
    {
      Indices[0] = 1;
      NumEntries = 1;
      Values[0] = -1.0;
    } 
    else if (MyGlobalElements[i] == NumGlobalElements - 1) 
    {
      Indices[0] = NumGlobalElements - 2;
      NumEntries = 1;
      Values[0] = -1.0;
    } else {
      Indices[0] = MyGlobalElements[i] - 1;
      Values[1] = -1.0;
      Indices[1] = MyGlobalElements[i] + 1;
      Values[0] = -1.0;
      NumEntries = 2;
    }

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

    // Put in the diagonal entry
    if (MyGlobalElements[i] == 0 || 
        (MyGlobalElements[i] == NumGlobalElements - 1))
      Values[0] = 1.0;
    else
      Values[0] = 2.0;
    
    Matrix->InsertGlobalValues(MyGlobalElements[i], 1, 
                               &Values[0], MyGlobalElements + i);
  }
  
  // Finish up, trasforming the matrix entries into local numbering,
  // to optimize data transfert during matrix-vector products
  Matrix->FillComplete();
  Matrix->OptimizeStorage();

  return(Matrix);
}

inline
Epetra_CrsMatrix* Laplace1DNeumann(const Epetra_Map* Map)
{
#ifndef EPETRA_NO_32BIT_GLOBAL_INDICES
  if(Map->GlobalIndicesInt()) {
	  return Laplace1DNeumann<int>(Map);
  }
  else
#endif
#ifndef EPETRA_NO_64BIT_GLOBAL_INDICES
  if(Map->GlobalIndicesLongLong()) {
	  return Laplace1DNeumann<long long>(Map);
  }
  else
#endif
    throw "Galeri::Matrices::Laplace1DNeumann: GlobalIndices type unknown";
}

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