/usr/include/trilinos/Stokhos_Tpetra_Utilities_UQ_PCE.hpp is in libtrilinos-stokhos-dev 12.10.1-3.
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// ***********************************************************************
//
// Stokhos Package
// Copyright (2009) Sandia Corporation
//
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// contributors may be used to endorse or promote products derived from
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//
// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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#ifndef STOKHOS_TPETRA_UTILITIES_UQ_PCE_HPP
#define STOKHOS_TPETRA_UTILITIES_UQ_PCE_HPP
#include "Stokhos_Sacado_Kokkos_UQ_PCE.hpp"
#include "Stokhos_Tpetra_Utilities_MP_Vector.hpp"
#include "Tpetra_Map.hpp"
#include "Tpetra_MultiVector.hpp"
#include "Tpetra_CrsGraph.hpp"
#include "Tpetra_CrsMatrix.hpp"
namespace Stokhos {
#if defined(TPETRA_HAVE_KOKKOS_REFACTOR)
// Build a CRS graph from a sparse Cijk tensor
template <typename LocalOrdinal, typename GlobalOrdinal, typename Device,
typename CijkType>
Teuchos::RCP< Tpetra::CrsGraph<LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> > >
create_cijk_crs_graph(const CijkType& cijk,
const Teuchos::RCP<const Teuchos::Comm<int> >& comm,
const Teuchos::RCP<Kokkos::Compat::KokkosDeviceWrapperNode<Device> >& node,
const size_t matrix_pce_size) {
using Teuchos::RCP;
using Teuchos::arrayView;
typedef Kokkos::Compat::KokkosDeviceWrapperNode<Device> Node;
typedef Tpetra::Map<LocalOrdinal,GlobalOrdinal,Node> Map;
typedef Tpetra::CrsGraph<LocalOrdinal,GlobalOrdinal,Node> Graph;
const size_t pce_sz = cijk.dimension();
RCP<const Map> map =
Tpetra::createLocalMapWithNode<LocalOrdinal,GlobalOrdinal>(pce_sz, comm, node);
RCP<Graph> graph = Tpetra::createCrsGraph(map);
if (matrix_pce_size == 1) {
// Mean-based case -- graph is diagonal
for (size_t i=0; i<pce_sz; ++i) {
const GlobalOrdinal row = i;
graph->insertGlobalIndices(row, arrayView(&row, 1));
}
}
else {
// General case
for (size_t i=0; i<pce_sz; ++i) {
const GlobalOrdinal row = i;
const size_t num_entry = cijk.num_entry(i);
const size_t entry_beg = cijk.entry_begin(i);
const size_t entry_end = entry_beg + num_entry;
for (size_t entry = entry_beg; entry < entry_end; ++entry) {
const GlobalOrdinal j = cijk.coord(entry,0);
const GlobalOrdinal k = cijk.coord(entry,1);
graph->insertGlobalIndices(row, arrayView(&j, 1));
graph->insertGlobalIndices(row, arrayView(&k, 1));
}
}
}
graph->fillComplete();
return graph;
}
// Create a flattened graph for a graph from a matrix with the
// UQ::PCE scalar type
// If flat_domain_map and/or flat_range_map are null, they will be computed,
// otherwise they will be used as-is.
template <typename LocalOrdinal, typename GlobalOrdinal, typename Device,
typename CijkType>
Teuchos::RCP< Tpetra::CrsGraph<LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> > >
create_flat_pce_graph(
const Tpetra::CrsGraph<LocalOrdinal,GlobalOrdinal,Kokkos::Compat::KokkosDeviceWrapperNode<Device> >& graph,
const CijkType& cijk,
Teuchos::RCP<const Tpetra::Map<LocalOrdinal,GlobalOrdinal,Kokkos::Compat::KokkosDeviceWrapperNode<Device> > >& flat_domain_map,
Teuchos::RCP<const Tpetra::Map<LocalOrdinal,GlobalOrdinal,Kokkos::Compat::KokkosDeviceWrapperNode<Device> > >& flat_range_map,
Teuchos::RCP<const Tpetra::CrsGraph<LocalOrdinal,GlobalOrdinal,Kokkos::Compat::KokkosDeviceWrapperNode<Device> > >& cijk_graph,
const size_t matrix_pce_size) {
using Teuchos::ArrayView;
using Teuchos::ArrayRCP;
using Teuchos::Array;
using Teuchos::RCP;
using Teuchos::rcp;
typedef Kokkos::Compat::KokkosDeviceWrapperNode<Device> Node;
typedef Tpetra::Map<LocalOrdinal,GlobalOrdinal,Node> Map;
typedef Tpetra::CrsGraph<LocalOrdinal,GlobalOrdinal,Node> Graph;
const LocalOrdinal block_size = cijk.dimension();
// Build domain map if necessary
if (flat_domain_map == Teuchos::null)
flat_domain_map = create_flat_map(*(graph.getDomainMap()), block_size);
// Build range map if necessary
if (flat_range_map == Teuchos::null)
flat_range_map = create_flat_map(*(graph.getRangeMap()), block_size);
// Build column map
RCP<const Map> flat_col_map =
create_flat_map(*(graph.getColMap()), block_size);
// Build row map if necessary
// Check if range_map == row_map, then we can use flat_range_map
// as the flattened row map
RCP<const Map> flat_row_map;
if (graph.getRangeMap() == graph.getRowMap())
flat_row_map = flat_range_map;
else
flat_row_map = create_flat_map(*(graph.getRowMap()), block_size);
// Build Cijk graph if necessary
if (cijk_graph == Teuchos::null)
cijk_graph = create_cijk_crs_graph<LocalOrdinal,GlobalOrdinal>(
cijk,
flat_domain_map->getComm(),
flat_domain_map->getNode(),
matrix_pce_size);
// Build flattened graph that is the Kronecker product of the given
// graph and cijk_graph
RCP<Graph> flat_graph = rcp(new Graph(flat_row_map, flat_col_map, 0));
// Loop over outer rows
ArrayView<const LocalOrdinal> outer_cols;
ArrayView<const LocalOrdinal> inner_cols;
Array<LocalOrdinal> flat_col_indices;
flat_col_indices.reserve(graph.getNodeMaxNumRowEntries()*block_size);
const LocalOrdinal num_outer_rows = graph.getNodeNumRows();
for (LocalOrdinal outer_row=0; outer_row < num_outer_rows; outer_row++) {
// Get outer columns for this outer row
graph.getLocalRowView(outer_row, outer_cols);
const LocalOrdinal num_outer_cols = outer_cols.size();
// Loop over inner rows
for (LocalOrdinal inner_row=0; inner_row < block_size; inner_row++) {
// Compute flat row index
const LocalOrdinal flat_row = outer_row*block_size + inner_row;
// Get inner columns for this inner row
cijk_graph->getLocalRowView(inner_row, inner_cols);
const LocalOrdinal num_inner_cols = inner_cols.size();
// Create space to store all column indices for this flat row
flat_col_indices.resize(0);
// Loop over outer cols
for (LocalOrdinal outer_entry=0; outer_entry<num_outer_cols;
++outer_entry) {
const LocalOrdinal outer_col = outer_cols[outer_entry];
// Loop over inner cols
for (LocalOrdinal inner_entry=0; inner_entry<num_inner_cols;
++inner_entry) {
const LocalOrdinal inner_col = inner_cols[inner_entry];
// Compute and store flat column index
const LocalOrdinal flat_col = outer_col*block_size + inner_col;
flat_col_indices.push_back(flat_col);
}
}
// Insert all indices for this flat row
flat_graph->insertLocalIndices(flat_row, flat_col_indices());
}
}
flat_graph->fillComplete(flat_domain_map, flat_range_map);
return flat_graph;
}
// Create a flattened vector by unrolling the UQ::PCE scalar type. The
// returned vector is a view of the original
template <typename Storage, typename LocalOrdinal, typename GlobalOrdinal,
typename Device>
Teuchos::RCP< const Tpetra::MultiVector<typename Storage::value_type,
LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> > >
create_flat_vector_view(
const Tpetra::MultiVector<Sacado::UQ::PCE<Storage>,
LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> >& vec,
const Teuchos::RCP< const Tpetra::Map<LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> > >& flat_map) {
using Teuchos::RCP;
using Teuchos::rcp;
typedef typename Storage::value_type BaseScalar;
typedef Kokkos::Compat::KokkosDeviceWrapperNode<Device> Node;
typedef Tpetra::MultiVector<BaseScalar,LocalOrdinal,GlobalOrdinal,Node> FlatVector;
typedef typename FlatVector::dual_view_type flat_view_type;
// Create flattenend view using special reshaping view assignment operator
flat_view_type flat_vals = vec.getDualView();
// Create flat vector
RCP<FlatVector> flat_vec = rcp(new FlatVector(flat_map, flat_vals));
return flat_vec;
}
// Create a flattened vector by unrolling the UQ::PCE scalar type. The
// returned vector is a view of the original
template <typename Storage, typename LocalOrdinal, typename GlobalOrdinal,
typename Device>
Teuchos::RCP< Tpetra::MultiVector<typename Storage::value_type,
LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> > >
create_flat_vector_view(
Tpetra::MultiVector<Sacado::UQ::PCE<Storage>,
LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> >& vec,
const Teuchos::RCP< const Tpetra::Map<LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> > >& flat_map) {
using Teuchos::RCP;
using Teuchos::rcp;
typedef typename Storage::value_type BaseScalar;
typedef Kokkos::Compat::KokkosDeviceWrapperNode<Device> Node;
typedef Tpetra::MultiVector<BaseScalar,LocalOrdinal,GlobalOrdinal,Node> FlatVector;
typedef typename FlatVector::dual_view_type flat_view_type;
// Create flattenend view using special reshaping view assignment operator
flat_view_type flat_vals = vec.getDualView();
// Create flat vector
RCP<FlatVector> flat_vec = rcp(new FlatVector(flat_map, flat_vals));
return flat_vec;
}
// Create a flattened vector by unrolling the UQ::PCE scalar type. The
// returned vector is a view of the original. This version creates the
// map if necessary
template <typename Storage, typename LocalOrdinal, typename GlobalOrdinal,
typename Device>
Teuchos::RCP< const Tpetra::MultiVector<typename Storage::value_type,
LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> > >
create_flat_vector_view(
const Tpetra::MultiVector<Sacado::UQ::PCE<Storage>,
LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> >& vec,
Teuchos::RCP< const Tpetra::Map<LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> > >& flat_map) {
typedef Kokkos::Compat::KokkosDeviceWrapperNode<Device> Node;
if (flat_map == Teuchos::null) {
const LocalOrdinal pce_size =
Kokkos::dimension_scalar(vec.template getLocalView<Device>());
flat_map = create_flat_map(*(vec.getMap()), pce_size);
}
const Teuchos::RCP< const Tpetra::Map<LocalOrdinal,GlobalOrdinal,Node> > const_flat_map = flat_map;
return create_flat_vector_view(vec, const_flat_map);
}
// Create a flattened vector by unrolling the UQ::PCE scalar type. The
// returned vector is a view of the original. This version creates the
// map if necessary
template <typename Storage, typename LocalOrdinal, typename GlobalOrdinal,
typename Device>
Teuchos::RCP< Tpetra::MultiVector<typename Storage::value_type,
LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> > >
create_flat_vector_view(
Tpetra::MultiVector<Sacado::UQ::PCE<Storage>,
LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> >& vec,
Teuchos::RCP< const Tpetra::Map<LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> > >& flat_map) {
typedef Kokkos::Compat::KokkosDeviceWrapperNode<Device> Node;
if (flat_map == Teuchos::null) {
const LocalOrdinal pce_size =
Kokkos::dimension_scalar(vec.template getLocalView<Device>());
flat_map = create_flat_map(*(vec.getMap()), pce_size);
}
const Teuchos::RCP< const Tpetra::Map<LocalOrdinal,GlobalOrdinal,Node> > const_flat_map = flat_map;
return create_flat_vector_view(vec, const_flat_map);
}
// Create a flattened vector by unrolling the UQ::PCE scalar type. The
// returned vector is a view of the original
template <typename Storage, typename LocalOrdinal, typename GlobalOrdinal,
typename Device>
Teuchos::RCP< const Tpetra::Vector<typename Storage::value_type,
LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> > >
create_flat_vector_view(
const Tpetra::Vector<Sacado::UQ::PCE<Storage>,
LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> >& vec_const,
const Teuchos::RCP< const Tpetra::Map<LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> > >& flat_map) {
typedef Kokkos::Compat::KokkosDeviceWrapperNode<Device> Node;
const Tpetra::MultiVector<Sacado::UQ::PCE<Storage>,LocalOrdinal,GlobalOrdinal,Node>& mv = vec_const;
Teuchos::RCP< Tpetra::MultiVector<typename Storage::value_type,LocalOrdinal,GlobalOrdinal,Node> > flat_mv = create_flat_vector_view(mv, flat_map);
return flat_mv->getVector(0);
}
// Create a flattened vector by unrolling the UQ::PCE scalar type. The
// returned vector is a view of the original. This version creates the
// map if necessary
template <typename Storage, typename LocalOrdinal, typename GlobalOrdinal,
typename Device>
Teuchos::RCP< const Tpetra::Vector<typename Storage::value_type,
LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> > >
create_flat_vector_view(
const Tpetra::Vector<Sacado::UQ::PCE<Storage>,
LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> >& vec,
Teuchos::RCP< const Tpetra::Map<LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> > >& flat_map) {
typedef Kokkos::Compat::KokkosDeviceWrapperNode<Device> Node;
if (flat_map == Teuchos::null) {
const LocalOrdinal pce_size =
Kokkos::dimension_scalar(vec.template getLocalView<Device>());
flat_map = create_flat_map(*(vec.getMap()), pce_size);
}
const Teuchos::RCP< const Tpetra::Map<LocalOrdinal,GlobalOrdinal,Node> > const_flat_map = flat_map;
return create_flat_vector_view(vec, const_flat_map);
}
// Create a flattened vector by unrolling the UQ::PCE scalar type. The
// returned vector is a view of the original
template <typename Storage, typename LocalOrdinal, typename GlobalOrdinal,
typename Device>
Teuchos::RCP< Tpetra::Vector<typename Storage::value_type,
LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> > >
create_flat_vector_view(
Tpetra::Vector<Sacado::UQ::PCE<Storage>,
LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> >& vec,
const Teuchos::RCP< const Tpetra::Map<LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> > >& flat_map) {
typedef Kokkos::Compat::KokkosDeviceWrapperNode<Device> Node;
Tpetra::MultiVector<Sacado::UQ::PCE<Storage>,LocalOrdinal,GlobalOrdinal,Node>& mv = vec;
Teuchos::RCP< Tpetra::MultiVector<typename Storage::value_type,LocalOrdinal,GlobalOrdinal,Node> > flat_mv = create_flat_vector_view(mv, flat_map);
return flat_mv->getVectorNonConst(0);
}
// Create a flattened vector by unrolling the UQ::PCE scalar type. The
// returned vector is a view of the original. This version creates the
// map if necessary
template <typename Storage, typename LocalOrdinal, typename GlobalOrdinal,
typename Device>
Teuchos::RCP< Tpetra::Vector<typename Storage::value_type,
LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> > >
create_flat_vector_view(
Tpetra::Vector<Sacado::UQ::PCE<Storage>,
LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> >& vec,
Teuchos::RCP< const Tpetra::Map<LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> > >& flat_map) {
typedef Kokkos::Compat::KokkosDeviceWrapperNode<Device> Node;
if (flat_map == Teuchos::null) {
const LocalOrdinal pce_size =
Kokkos::dimension_scalar(vec.template getLocalView<Device>());
flat_map = create_flat_map(*(vec.getMap()), pce_size);
}
const Teuchos::RCP< const Tpetra::Map<LocalOrdinal,GlobalOrdinal,Node> > const_flat_map = flat_map;
return create_flat_vector_view(vec, const_flat_map);
}
// Create a flattened matrix by unrolling the UQ::PCE scalar type. The
// returned matrix is NOT a view of the original (and can't be)
template <typename Storage, typename LocalOrdinal, typename GlobalOrdinal,
typename Device, typename CijkType>
Teuchos::RCP< Tpetra::CrsMatrix<typename Storage::value_type,
LocalOrdinal,GlobalOrdinal,
Kokkos::Compat::KokkosDeviceWrapperNode<Device> > >
create_flat_matrix(
const Tpetra::CrsMatrix<Sacado::UQ::PCE<Storage>,
LocalOrdinal,GlobalOrdinal,Kokkos::Compat::KokkosDeviceWrapperNode<Device> >& mat,
const Teuchos::RCP<const Tpetra::CrsGraph<LocalOrdinal,GlobalOrdinal,Kokkos::Compat::KokkosDeviceWrapperNode<Device> > >& flat_graph,
const Teuchos::RCP<const Tpetra::CrsGraph<LocalOrdinal,GlobalOrdinal,Kokkos::Compat::KokkosDeviceWrapperNode<Device> > >& cijk_graph,
const CijkType& cijk) {
using Teuchos::ArrayView;
using Teuchos::Array;
using Teuchos::RCP;
using Teuchos::rcp;
typedef Kokkos::Compat::KokkosDeviceWrapperNode<Device> Node;
typedef Sacado::UQ::PCE<Storage> Scalar;
typedef typename Storage::value_type BaseScalar;
typedef Tpetra::CrsMatrix<BaseScalar,LocalOrdinal,GlobalOrdinal,Node> FlatMatrix;
const LocalOrdinal block_size = cijk.dimension();
const LocalOrdinal matrix_pce_size =
Kokkos::dimension_scalar(mat.getLocalMatrix().values);
// Create flat matrix
RCP<FlatMatrix> flat_mat = rcp(new FlatMatrix(flat_graph));
// Fill flat matrix
ArrayView<const Scalar> outer_values;
ArrayView<const LocalOrdinal> outer_cols;
ArrayView<const LocalOrdinal> inner_cols;
ArrayView<const LocalOrdinal> flat_cols;
Array<BaseScalar> flat_values;
flat_values.reserve(flat_graph->getNodeMaxNumRowEntries());
const LocalOrdinal num_outer_rows = mat.getNodeNumRows();
for (LocalOrdinal outer_row=0; outer_row < num_outer_rows; outer_row++) {
// Get outer columns and values for this outer row
mat.getLocalRowView(outer_row, outer_cols, outer_values);
const LocalOrdinal num_outer_cols = outer_cols.size();
// Loop over inner rows
for (LocalOrdinal inner_row=0; inner_row < block_size; inner_row++) {
// Compute flat row index
const LocalOrdinal flat_row = outer_row*block_size + inner_row;
// Get cijk column indices for this row
cijk_graph->getLocalRowView(inner_row, inner_cols);
const LocalOrdinal num_inner_cols = inner_cols.size();
// Create space to store all values for this flat row
const LocalOrdinal num_flat_indices = num_outer_cols*num_inner_cols;
//flat_values.resize(num_flat_indices);
flat_values.assign(num_flat_indices, BaseScalar(0));
if (matrix_pce_size == 1) {
// Mean-based case
// Loop over outer cols
for (LocalOrdinal outer_entry=0; outer_entry<num_outer_cols;
++outer_entry) {
// Extract mean PCE entry for each outer column
flat_values[outer_entry] = outer_values[outer_entry].coeff(0);
}
}
else {
// Loop over cijk non-zeros for this inner row
const size_t num_entry = cijk.num_entry(inner_row);
const size_t entry_beg = cijk.entry_begin(inner_row);
const size_t entry_end = entry_beg + num_entry;
for (size_t entry = entry_beg; entry < entry_end; ++entry) {
const LocalOrdinal j = cijk.coord(entry,0);
const LocalOrdinal k = cijk.coord(entry,1);
const BaseScalar c = cijk.value(entry);
// Find column offset for j
typedef typename ArrayView<const LocalOrdinal>::iterator iterator;
iterator ptr_j =
std::find(inner_cols.begin(), inner_cols.end(), j);
iterator ptr_k =
std::find(inner_cols.begin(), inner_cols.end(), k);
const LocalOrdinal j_offset = ptr_j - inner_cols.begin();
const LocalOrdinal k_offset = ptr_k - inner_cols.begin();
// Loop over outer cols
for (LocalOrdinal outer_entry=0; outer_entry<num_outer_cols;
++outer_entry) {
// Add contributions for each outer column
flat_values[outer_entry*num_inner_cols + j_offset] +=
c*outer_values[outer_entry].coeff(k);
flat_values[outer_entry*num_inner_cols + k_offset] +=
c*outer_values[outer_entry].coeff(j);
}
}
}
// Set values in flat matrix
flat_graph->getLocalRowView(flat_row, flat_cols);
flat_mat->replaceLocalValues(flat_row, flat_cols, flat_values());
}
}
flat_mat->fillComplete(flat_graph->getDomainMap(),
flat_graph->getRangeMap());
return flat_mat;
}
#endif
} // namespace Stokhos
#endif // STOKHOS_TPETRA_UTILITIES_MP_VECTOR_HPP
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