int check(Epetra_RowMatrix& A, Epetra_RowMatrix & B, bool verbose) {
int ierr = 0;
EPETRA_TEST_ERR(!A.Comm().NumProc()==B.Comm().NumProc(),ierr);
EPETRA_TEST_ERR(!A.Comm().MyPID()==B.Comm().MyPID(),ierr);
EPETRA_TEST_ERR(!A.Filled()==B.Filled(),ierr);
EPETRA_TEST_ERR(!A.HasNormInf()==B.HasNormInf(),ierr);
EPETRA_TEST_ERR(!A.LowerTriangular()==B.LowerTriangular(),ierr);
EPETRA_TEST_ERR(!A.Map().SameAs(B.Map()),ierr);
EPETRA_TEST_ERR(!A.MaxNumEntries()==B.MaxNumEntries(),ierr);
EPETRA_TEST_ERR(!A.NumGlobalCols64()==B.NumGlobalCols64(),ierr);
EPETRA_TEST_ERR(!A.NumGlobalDiagonals64()==B.NumGlobalDiagonals64(),ierr);
EPETRA_TEST_ERR(!A.NumGlobalNonzeros64()==B.NumGlobalNonzeros64(),ierr);
EPETRA_TEST_ERR(!A.NumGlobalRows64()==B.NumGlobalRows64(),ierr);
EPETRA_TEST_ERR(!A.NumMyCols()==B.NumMyCols(),ierr);
EPETRA_TEST_ERR(!A.NumMyDiagonals()==B.NumMyDiagonals(),ierr);
EPETRA_TEST_ERR(!A.NumMyNonzeros()==B.NumMyNonzeros(),ierr);
for (int i=0; i<A.NumMyRows(); i++) {
int nA, nB;
A.NumMyRowEntries(i,nA); B.NumMyRowEntries(i,nB);
EPETRA_TEST_ERR(!nA==nB,ierr);
}
EPETRA_TEST_ERR(!A.NumMyRows()==B.NumMyRows(),ierr);
EPETRA_TEST_ERR(!A.OperatorDomainMap().SameAs(B.OperatorDomainMap()),ierr);
EPETRA_TEST_ERR(!A.OperatorRangeMap().SameAs(B.OperatorRangeMap()),ierr);
EPETRA_TEST_ERR(!A.RowMatrixColMap().SameAs(B.RowMatrixColMap()),ierr);
EPETRA_TEST_ERR(!A.RowMatrixRowMap().SameAs(B.RowMatrixRowMap()),ierr);
EPETRA_TEST_ERR(!A.UpperTriangular()==B.UpperTriangular(),ierr);
EPETRA_TEST_ERR(!A.UseTranspose()==B.UseTranspose(),ierr);
int NumVectors = 5;
{ // No transpose case
Epetra_MultiVector X(A.OperatorDomainMap(), NumVectors);
Epetra_MultiVector YA1(A.OperatorRangeMap(), NumVectors);
Epetra_MultiVector YA2(YA1);
Epetra_MultiVector YB1(YA1);
Epetra_MultiVector YB2(YA1);
X.Random();
bool transA = false;
A.SetUseTranspose(transA);
B.SetUseTranspose(transA);
A.Apply(X,YA1);
A.Multiply(transA, X, YA2);
EPETRA_TEST_ERR(checkMultiVectors(YA1,YA2,"A Multiply and A Apply", verbose),ierr);
B.Apply(X,YB1);
EPETRA_TEST_ERR(checkMultiVectors(YA1,YB1,"A Multiply and B Multiply", verbose),ierr);
B.Multiply(transA, X, YB2);
EPETRA_TEST_ERR(checkMultiVectors(YA1,YB2,"A Multiply and B Apply", verbose), ierr);
}
{// transpose case
Epetra_MultiVector X(A.OperatorRangeMap(), NumVectors);
Epetra_MultiVector YA1(A.OperatorDomainMap(), NumVectors);
Epetra_MultiVector YA2(YA1);
Epetra_MultiVector YB1(YA1);
Epetra_MultiVector YB2(YA1);
X.Random();
bool transA = true;
A.SetUseTranspose(transA);
B.SetUseTranspose(transA);
A.Apply(X,YA1);
A.Multiply(transA, X, YA2);
EPETRA_TEST_ERR(checkMultiVectors(YA1,YA2, "A Multiply and A Apply (transpose)", verbose),ierr);
B.Apply(X,YB1);
EPETRA_TEST_ERR(checkMultiVectors(YA1,YB1, "A Multiply and B Multiply (transpose)", verbose),ierr);
B.Multiply(transA, X,YB2);
EPETRA_TEST_ERR(checkMultiVectors(YA1,YB2, "A Multiply and B Apply (transpose)", verbose),ierr);
}
Epetra_Vector diagA(A.RowMatrixRowMap());
EPETRA_TEST_ERR(A.ExtractDiagonalCopy(diagA),ierr);
Epetra_Vector diagB(B.RowMatrixRowMap());
EPETRA_TEST_ERR(B.ExtractDiagonalCopy(diagB),ierr);
EPETRA_TEST_ERR(checkMultiVectors(diagA,diagB, "ExtractDiagonalCopy", verbose),ierr);
Epetra_Vector rowA(A.RowMatrixRowMap());
EPETRA_TEST_ERR(A.InvRowSums(rowA),ierr);
Epetra_Vector rowB(B.RowMatrixRowMap());
EPETRA_TEST_ERR(B.InvRowSums(rowB),ierr)
EPETRA_TEST_ERR(checkMultiVectors(rowA,rowB, "InvRowSums", verbose),ierr);
Epetra_Vector colA(A.RowMatrixColMap());
EPETRA_TEST_ERR(A.InvColSums(colA),ierr);
Epetra_Vector colB(B.RowMatrixColMap());
EPETRA_TEST_ERR(B.InvColSums(colB),ierr);
EPETRA_TEST_ERR(checkMultiVectors(colA,colB, "InvColSums", verbose),ierr);
EPETRA_TEST_ERR(checkValues(A.NormInf(), B.NormInf(), "NormInf before scaling", verbose), ierr);
EPETRA_TEST_ERR(checkValues(A.NormOne(), B.NormOne(), "NormOne before scaling", verbose),ierr);
EPETRA_TEST_ERR(A.RightScale(colA),ierr);
EPETRA_TEST_ERR(B.RightScale(colB),ierr);
EPETRA_TEST_ERR(A.LeftScale(rowA),ierr);
EPETRA_TEST_ERR(B.LeftScale(rowB),ierr);
EPETRA_TEST_ERR(checkValues(A.NormInf(), B.NormInf(), "NormInf after scaling", verbose), ierr);
EPETRA_TEST_ERR(checkValues(A.NormOne(), B.NormOne(), "NormOne after scaling", verbose),ierr);
vector<double> valuesA(A.MaxNumEntries());
vector<int> indicesA(A.MaxNumEntries());
vector<double> valuesB(B.MaxNumEntries());
vector<int> indicesB(B.MaxNumEntries());
return(0);
for (int i=0; i<A.NumMyRows(); i++) {
int nA, nB;
EPETRA_TEST_ERR(A.ExtractMyRowCopy(i, A.MaxNumEntries(), nA, &valuesA[0], &indicesA[0]),ierr);
EPETRA_TEST_ERR(B.ExtractMyRowCopy(i, B.MaxNumEntries(), nB, &valuesB[0], &indicesB[0]),ierr);
EPETRA_TEST_ERR(!nA==nB,ierr);
for (int j=0; j<nA; j++) {
double curVal = valuesA[j];
int curIndex = indicesA[j];
bool notfound = true;
int jj = 0;
while (notfound && jj< nB) {
if (!checkValues(curVal, valuesB[jj])) notfound = false;
jj++;
}
EPETRA_TEST_ERR(notfound, ierr);
vector<int>::iterator p = find(indicesB.begin(),indicesB.end(),curIndex); // find curIndex in indicesB
EPETRA_TEST_ERR(p==indicesB.end(), ierr);
}
}
if (verbose) cout << "RowMatrix Methods check OK" << endl;
return (ierr);
}
void AZOO_iterate(double * xsolve, double * b,
int * options, double * params,
double * status, int *proc_config,
AZ_MATRIX * Amat,
AZ_PRECOND *precond, struct AZ_SCALING *scaling)
{
(void)precond;
(void)scaling;
bool verbose = (options[AZ_output]!=AZ_none); // Print info unless all output is turned off
Epetra_Comm * comm;
Epetra_BlockMap * map;
Epetra_RowMatrix * A;
Epetra_Vector * px;
Epetra_Vector * pb;
int * global_indices;
int ierr = Aztec2Petra(proc_config, Amat, xsolve, b, comm, map, A, px, pb, &global_indices);
if (ierr!=0) {
cerr << "Error detected in Aztec2Petra. Value = " << ierr << endl;
exit(1);
}
Epetra_LinearProblem problem(A, px, pb);
Epetra_Vector * leftScaleVec = 0;
Epetra_Vector * rightScaleVec = 0;
bool doRowScaling = false;
bool doColScaling = false;
if ((options[AZ_scaling]==AZ_Jacobi) || options[AZ_scaling]==AZ_BJacobi) {
doRowScaling = true;
leftScaleVec = new Epetra_Vector(*map);
A->ExtractDiagonalCopy(*leftScaleVec); // Extract diagonal of matrix
leftScaleVec->Reciprocal(*leftScaleVec); // invert it
}
else if (options[AZ_scaling]==AZ_row_sum) {
doRowScaling = true;
leftScaleVec = new Epetra_Vector(*map);
A->InvRowSums(*leftScaleVec);
}
else if (options[AZ_scaling]==AZ_sym_diag) {
doRowScaling = true;
doColScaling = true;
leftScaleVec = new Epetra_Vector(*map);
A->ExtractDiagonalCopy(*leftScaleVec); // Extract diagonal of matrix
int length = leftScaleVec->MyLength();
for (int i=0; i<length; i++) (*leftScaleVec)[i] = sqrt(fabs((*leftScaleVec)[i])); // Take its sqrt
rightScaleVec = leftScaleVec; // symmetric, so left and right the same
leftScaleVec->Reciprocal(*leftScaleVec); // invert it
}
else if (options[AZ_scaling]==AZ_sym_row_sum) {
doRowScaling = true;
doColScaling = true;
leftScaleVec = new Epetra_Vector(*map);
A->InvRowSums(*leftScaleVec);
int length = leftScaleVec->MyLength();
for (int i=0; i<length; i++) (*leftScaleVec)[i] = sqrt(fabs((*leftScaleVec)[i])); // Take its sqrt
rightScaleVec = leftScaleVec; // symmetric, so left and right the same
}
if ((doRowScaling || doColScaling) && verbose) {
double norminf = A->NormInf();
double normone = A->NormOne();
if (comm->MyPID()==0)
cout << "\n Inf-norm of A before scaling = " << norminf
<< "\n One-norm of A before scaling = " << normone<< endl << endl;
}
if (doRowScaling) problem.LeftScale(*leftScaleVec);
if (doColScaling) problem.RightScale(*rightScaleVec);
if ((doRowScaling || doColScaling) && verbose) {
double norminf = A->NormInf();
double normone = A->NormOne();
if (comm->MyPID()==0)
cout << "\n Inf-norm of A after scaling = " << norminf
<< "\n One-norm of A after scaling = " << normone << endl << endl;
}
AztecOO solver(problem);
solver.SetAllAztecParams(params); // set all AztecOO params with user-provided params
solver.SetAllAztecOptions(options); // set all AztecOO options with user-provided options
solver.CheckInput();
solver.SetAztecOption(AZ_scaling, AZ_none); // Always must have scaling off
solver.Iterate(options[AZ_max_iter], params[AZ_tol]);
solver.GetAllAztecStatus(status);
if (doColScaling) {
rightScaleVec->Reciprocal(*rightScaleVec);
problem.RightScale(*rightScaleVec);
}
if (doRowScaling) {
leftScaleVec->Reciprocal(*leftScaleVec);
problem.LeftScale(*leftScaleVec);
}
if ((rightScaleVec!=0) && (rightScaleVec!=leftScaleVec)) delete rightScaleVec;
if (leftScaleVec!=0) delete leftScaleVec;
delete pb; // These are all objects created here and we have to delete them
delete px;
delete A;
delete map;
delete comm;
if (global_indices!=0) AZ_free((void *) global_indices); // Note: we used a special version of free here
return;
}
