void Stokhos::BasisInteractionGraph::initialize(const Stokhos::OrthogPolyBasis<int,double> & max_basis,
const Stokhos::Sparse3Tensor<int,double> & Cijk,
int porder)
{
using Teuchos::RCP;
typedef Stokhos::Sparse3Tensor<int,double> Cijk_type;
// // max it out if defaulted
// if(porder<0)
// porder = max_basis.size();
// RCP<Stokhos::Sparse3Tensor<int,double> > Cijk = max_basis.computeTripleProductTensor(porder);
Cijk_type::k_iterator k_end = Cijk.k_end();
if (onlyUseLinear_) {
int dim = max_basis.dimension();
k_end = Cijk.find_k(dim+1);
}
vecLookup_.resize(max_basis.size()); // defines number of rows
numCols_ = vecLookup_.size(); // set number of columns
// Loop over Cijk entries including a non-zero in the graph at
// indices (i,j) if there is any k for which Cijk is non-zero
for(Cijk_type::k_iterator k_it=Cijk.k_begin(); k_it!=k_end; ++k_it) {
for(Cijk_type::kj_iterator j_it = Cijk.j_begin(k_it); j_it != Cijk.j_end(k_it); ++j_it) {
int j = index(j_it);
for(Cijk_type::kji_iterator i_it = Cijk.i_begin(j_it); i_it != Cijk.i_end(j_it); ++i_it) {
int i = index(i_it);
vecLookup_[i].push_back(j);
}
}
}
}
Stokhos::BasisInteractionGraph::BasisInteractionGraph(const Stokhos::OrthogPolyBasis<int,double> & max_basis,bool onlyUseLinear,int porder)
: onlyUseLinear_(onlyUseLinear)
{
using Teuchos::RCP;
RCP<const Stokhos::Sparse3Tensor<int,double> > Cijk;
if(porder<0)
Cijk = max_basis.computeTripleProductTensor();
else
Cijk = max_basis.computeLinearTripleProductTensor();
initialize(max_basis,*Cijk,porder);
}
Stokhos::PCECovarianceOp::
PCECovarianceOp(const Teuchos::RCP<const EpetraExt::BlockVector>& X_bv,
const Stokhos::OrthogPolyBasis<int,double>& basis)
: label("Stokhos::PCECovarianceOp"),
X(),
s(basis.norm_squared()),
useTranspose(false),
tmp_map(),
tmp()
{
const Epetra_BlockMap& base_map = X_bv->GetBaseMap();
int N = base_map.NumMyElements();
int sz = basis.size();
X = Teuchos::rcp(new Epetra_MultiVector(View, base_map, X_bv->Values()+N,
N, sz-1));
tmp_map =
Teuchos::rcp(new Epetra_LocalMap(X->NumVectors(), 0, X->Map().Comm()));
}
Stokhos::PCECovarianceOp::
PCECovarianceOp(const Teuchos::RCP<const Epetra_MultiVector>& X_,
const Stokhos::OrthogPolyBasis<int,double>& basis)
: label("Stokhos::PCECovarianceOp"),
X(X_),
s(basis.norm_squared()),
useTranspose(false),
tmp_map(),
tmp()
{
tmp_map =
Teuchos::rcp(new Epetra_LocalMap(X->NumVectors(), 0, X->Map().Comm()));
}
Teuchos::RCP<Epetra_CrsGraph>
sparse3Tensor2CrsGraph(
const Stokhos::OrthogPolyBasis<ordinal_type,value_type>& basis,
const Stokhos::Sparse3Tensor<ordinal_type,value_type>& Cijk,
const Epetra_Comm& comm)
{
typedef Stokhos::Sparse3Tensor<ordinal_type,value_type> Cijk_type;
// Number of stochastic rows
ordinal_type num_rows = basis.size();
// Replicated local map
Epetra_LocalMap map(num_rows, 0, comm);
// Graph to be created
Teuchos::RCP<Epetra_CrsGraph> graph =
Teuchos::rcp(new Epetra_CrsGraph(Copy, map, 0));
// Loop over Cijk entries including a non-zero in the graph at
// indices (i,j) if there is any k for which Cijk is non-zero
for (typename Cijk_type::k_iterator k_it=Cijk.k_begin();
k_it!=Cijk.k_end(); ++k_it) {
for (typename Cijk_type::kj_iterator j_it = Cijk.j_begin(k_it);
j_it != Cijk.j_end(k_it); ++j_it) {
ordinal_type j = index(j_it);
for (typename Cijk_type::kji_iterator i_it = Cijk.i_begin(j_it);
i_it != Cijk.i_end(j_it); ++i_it) {
ordinal_type i = index(i_it);
graph->InsertGlobalIndices(i, 1, &j);
}
}
}
// Sort, remove redundencies, transform to local, ...
graph->FillComplete();
return graph;
}
Teuchos::RCP<Epetra_CrsGraph>
sparse3Tensor2CrsGraph(
const Stokhos::OrthogPolyBasis<ordinal_type,value_type>& basis,
const Stokhos::Sparse3Tensor<ordinal_type,value_type>& Cijk,
const Epetra_Comm& comm)
{
// Number of stochastic rows
ordinal_type num_rows = basis.size();
// Replicated local map
Epetra_LocalMap map(num_rows, 0, comm);
// Graph to be created
Teuchos::RCP<Epetra_CrsGraph> graph =
Teuchos::rcp(new Epetra_CrsGraph(Copy, map, 0));
// Loop over Cijk entries including a non-zero in the graph at
// indices (i,j) if there is any k for which Cijk is non-zero
ordinal_type Cijk_size = Cijk.size();
for (ordinal_type k=0; k<Cijk_size; k++) {
ordinal_type nj = Cijk.num_j(k);
const Teuchos::Array<int>& j_indices = Cijk.Jindices(k);
for (ordinal_type jj=0; jj<nj; jj++) {
ordinal_type j = j_indices[jj];
const Teuchos::Array<int>& i_indices = Cijk.Iindices(k,jj);
ordinal_type ni = i_indices.size();
for (ordinal_type ii=0; ii<ni; ii++) {
ordinal_type i = i_indices[ii];
graph->InsertGlobalIndices(i, 1, &j);
}
}
}
// Sort, remove redundencies, transform to local, ...
graph->FillComplete();
return graph;
}