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// Didasko Tutorial Package
// Copyright (2005) Sandia Corporation
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// @HEADER
// Use of Epetra_Operator.
// This code must be run with one process
#include "Didasko_ConfigDefs.h"
#if defined(HAVE_DIDASKO_EPETRA)
#include "Epetra_ConfigDefs.h"
#ifdef HAVE_MPI
#include "mpi.h"
#include "Epetra_MpiComm.h"
#else
#include "Epetra_SerialComm.h"
#endif
#include "Epetra_Map.h"
#include "Epetra_Vector.h"
#include "Epetra_MultiVector.h"
#include "Epetra_Operator.h"
// ==================== //
// TriDiagonal Operator //
// -------------------- //
class TriDiagonalOperator : public Epetra_Operator
{
public:
// constructor
TriDiagonalOperator( double diag_minus_one,
double diag,
double diag_plus_one,
Epetra_Map & Map) :
Map_(Map),
diag_minus_one_(diag_minus_one),
diag_(diag),
diag_plus_one_(diag_plus_one)
{}
// application of the tridiagonal operator
int Apply( const Epetra_MultiVector & X,
Epetra_MultiVector & Y ) const
{
int Length = X.MyLength();
// maybe some error checks on MultiVector Lenghts
// for the future...
for( int vec=0 ; vec<X.NumVectors() ; ++vec ) {
// one-dimensional problems here
if( Length == 1 ) {
Y[vec][0] = diag_ * X[vec][0];
break;
}
// more general case (Lenght >= 2)
// first row
Y[vec][0] = diag_ * X[vec][0] + diag_plus_one_ * X[vec][1];
// intermediate rows
for( int i=1 ; i<Length-1 ; ++i ) {
Y[vec][i] = diag_ * X[vec][i] + diag_plus_one_ * X[vec][i+1]
+ diag_minus_one_ * X[vec][i-1];
}
// final row
Y[vec][Length-1] = diag_ * X[vec][Length-1]
+ diag_minus_one_ * X[vec][Length-2];
}
return true;
}
// other function
int SetUseTranspose( bool UseTranspose)
{
return(-1); // not implemented
}
Epetra_MultiVector & Y ) const
{
return(-1); // not implemented
}
double NormInf() const
{
return(abs(diag_) + abs(diag_minus_one_) + abs(diag_plus_one_));
}
const char * Label () const
{
return("TriDiagonalOperator");
}
bool UseTranspose() const
{
return(false);
}
bool HasNormInf () const
{
return(true);
}
const Epetra_Comm & Comm() const
{
return(Map_.Comm());
}
const Epetra_Map & OperatorDomainMap() const
{
return(Map_);
}
const Epetra_Map & OperatorRangeMap() const
{
return(Map_);
}
private:
Epetra_Map Map_;
double diag_minus_one_; // value in the sub-diagonal
double diag_; // value in the diagonal
double diag_plus_one_; // value in the super-diagonal
};
// =========== //
// main driver //
// ----------- //
int main(int argc, char *argv[]) {
#ifdef HAVE_MPI
MPI_Init(&argc, &argv);
Epetra_MpiComm Comm(MPI_COMM_WORLD);
#else
#endif
if( Comm.NumProc() != 1 ) {
if( Comm.MyPID() == 0 ) {
cerr << "This is mono-process example\n"
<< "Please run with one processo only\n";
}
#ifdef HAVE_MPI
MPI_Finalize();
#endif
exit(EXIT_SUCCESS);
}
// global dimension of the problem, could be any positive number
int NumGlobalElements( 5 );
// linear decomposition (for simplicity, could be general)
Epetra_Map Map(NumGlobalElements,0,Comm );
// define two vectors based on Map
Epetra_Vector x(Map);
Epetra_Vector y(Map);
x.PutScalar(1.0);
// define a linear operator, as previously defined in class
// TriDiagonalOperator
TriDiagonalOperator TriDiagOp(-1.0,2.0,-1.0,Map);
TriDiagOp.Apply(x,y);
cout << x;
cout << y;
#ifdef HAVE_MPI
MPI_Finalize();
#endif
return( EXIT_SUCCESS );
}
#else
#include <stdlib.h>
#include <stdio.h>
int main(int argc, char *argv[])
{
puts("Please configure Didasko with:\n"
"--enable-epetra");
return 0;
}
#endif