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// ************************************************************************
//
// Galeri: Finite Element and Matrix Generation Package
// Copyright (2006) ETHZ/Sandia Corporation
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#ifndef GALERI_TRIDIAG_H
#define GALERI_TRIDIAG_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*
Tridiag(const Epetra_Map* Map, const double a, const double b, const double c)
{
Epetra_CrsMatrix* Matrix = new Epetra_CrsMatrix(Copy, *Map, 3);
int_type NumGlobalElements = (int_type) Map->NumGlobalElements64();
int NumMyElements = Map->NumMyElements();
int_type* MyGlobalElements = 0;
Map->MyGlobalElementsPtr(MyGlobalElements);
std::vector<double> Values(2);
std::vector<int_type> Indices(2);
int NumEntries;
for (int i = 0 ; i < NumMyElements ; ++i)
{
if (MyGlobalElements[i] == 0)
{
// off-diagonal for first row
Indices[0] = 1;
NumEntries = 1;
Values[0] = c;
}
else if (MyGlobalElements[i] == NumGlobalElements - 1)
{
// off-diagonal for last row
Indices[0] = NumGlobalElements - 2;
NumEntries = 1;
Values[0] = b;
}
else
{
// off-diagonal for internal row
Indices[0] = MyGlobalElements[i] - 1;
Values[1] = b;
Indices[1] = MyGlobalElements[i] + 1;
Values[0] = c;
NumEntries = 2;
}
Matrix->InsertGlobalValues(MyGlobalElements[i], NumEntries, &Values[0],
&Indices[0]);
// Put in the diagonal entry
Values[0] = a;
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);
}
Epetra_CrsMatrix*
Tridiag(const Epetra_Map* Map, const double a, const double b, const double c)
{
#ifndef EPETRA_NO_32BIT_GLOBAL_INDICES
if(Map->GlobalIndicesInt()) {
return Tridiag<int>(Map, a, b, c);
}
else
#endif
#ifndef EPETRA_NO_64BIT_GLOBAL_INDICES
if(Map->GlobalIndicesLongLong()) {
return Tridiag<long long>(Map, a, b, c);
}
else
#endif
throw "Galeri::Matrices::Tridiag: GlobalIndices type unknown";
}
} // namespace Matrices
} // namespace Galeri
#endif
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