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// ************************************************************************
//
// 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.
//
// This library is free software; you can redistribute it and/or modify
// it under the terms of the GNU Lesser General Public License as
// published by the Free Software Foundation; either version 2.1 of the
// License, or (at your option) any later version.
//
// This library is distributed in the hope that it will be useful, but
// WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
// Lesser General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public
// License along with this library; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307
// USA
//
// Questions about Galeri? Contact Marzio Sala (marzio.sala _AT_ gmail.com)
//
// ************************************************************************
// @HEADER
#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 {
inline
Epetra_CrsMatrix* Cauchy(const Epetra_Map* Map)
{
// this is actually a dense matrix, stored into Crs format
int NumGlobalElements = Map->NumGlobalElements();
int NumMyElements = Map->NumMyElements();
int* MyGlobalElements = Map->MyGlobalElements();
Epetra_CrsMatrix* Matrix = new Epetra_CrsMatrix(Copy, *Map, NumGlobalElements);
vector<double> Values(NumGlobalElements);
vector<int> Indices(NumGlobalElements);
for (int i = 0 ; i < NumMyElements ; ++i)
{
int NumEntries = NumGlobalElements;
int iGlobal = MyGlobalElements[i];
for (int 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);
}
} // namespace Matrices
} // namespace Galeri
#endif
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