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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
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