/usr/include/trilinos/Stokhos_TensorProductBasisImp.hpp is in libtrilinos-stokhos-dev 12.10.1-3.
This file is owned by root:root, with mode 0o644.
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// ***********************************************************************
//
// Stokhos Package
// Copyright (2009) Sandia Corporation
//
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// 2. Redistributions in binary form must reproduce the above copyright
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// contributors may be used to endorse or promote products derived from
// this software without specific prior written permission.
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#include "Teuchos_TimeMonitor.hpp"
#include "Teuchos_TestForException.hpp"
template <typename ordinal_type, typename value_type, typename ordering_type>
Stokhos::TensorProductBasis<ordinal_type, value_type, ordering_type>::
TensorProductBasis(
const Teuchos::Array< Teuchos::RCP<const OneDOrthogPolyBasis<ordinal_type, value_type> > >& bases_,
const value_type& sparse_tol_,
const Stokhos::MultiIndex<ordinal_type>& index,
const ordering_type& coeff_compare) :
p(0),
d(bases_.size()),
sz(0),
bases(bases_),
sparse_tol(sparse_tol_),
max_orders(d),
basis_set(coeff_compare),
norms()
{
// Resize bases for given index if necessary
if (index.dimension() > 0) {
for (ordinal_type i=0; i<d; i++) {
if (index[i] != bases[i]->order())
bases[i] = bases[i]->cloneWithOrder(index[i]);
}
}
// Compute largest order
for (ordinal_type i=0; i<d; i++) {
max_orders[i] = bases[i]->order();
if (max_orders[i] > p)
p = max_orders[i];
}
// Compute basis terms
MultiIndex<ordinal_type> orders(d);
for (ordinal_type i=0; i<d; ++i)
orders[i] = bases[i]->order();
TensorProductIndexSet<ordinal_type> index_set(orders);
ProductBasisUtils::buildProductBasis(index_set, basis_set, basis_map);
sz = basis_map.size();
// Compute norms
norms.resize(sz);
value_type nrm;
for (ordinal_type k=0; k<sz; k++) {
nrm = value_type(1.0);
for (ordinal_type i=0; i<d; i++)
nrm = nrm * bases[i]->norm_squared(basis_map[k][i]);
norms[k] = nrm;
}
// Create name
name = "Tensor product basis (";
for (ordinal_type i=0; i<d-1; i++)
name += bases[i]->getName() + ", ";
name += bases[d-1]->getName() + ")";
// Allocate array for basis evaluation
basis_eval_tmp.resize(d);
for (ordinal_type j=0; j<d; j++)
basis_eval_tmp[j].resize(max_orders[j]+1);
}
template <typename ordinal_type, typename value_type, typename ordering_type>
Stokhos::TensorProductBasis<ordinal_type, value_type, ordering_type>::
~TensorProductBasis()
{
}
template <typename ordinal_type, typename value_type, typename ordering_type>
ordinal_type
Stokhos::TensorProductBasis<ordinal_type, value_type, ordering_type>::
order() const
{
return p;
}
template <typename ordinal_type, typename value_type, typename ordering_type>
ordinal_type
Stokhos::TensorProductBasis<ordinal_type, value_type, ordering_type>::
dimension() const
{
return d;
}
template <typename ordinal_type, typename value_type, typename ordering_type>
ordinal_type
Stokhos::TensorProductBasis<ordinal_type, value_type, ordering_type>::
size() const
{
return sz;
}
template <typename ordinal_type, typename value_type, typename ordering_type>
const Teuchos::Array<value_type>&
Stokhos::TensorProductBasis<ordinal_type, value_type, ordering_type>::
norm_squared() const
{
return norms;
}
template <typename ordinal_type, typename value_type, typename ordering_type>
const value_type&
Stokhos::TensorProductBasis<ordinal_type, value_type, ordering_type>::
norm_squared(ordinal_type i) const
{
return norms[i];
}
template <typename ordinal_type, typename value_type, typename ordering_type>
Teuchos::RCP< Stokhos::Sparse3Tensor<ordinal_type, value_type> >
Stokhos::TensorProductBasis<ordinal_type, value_type, ordering_type>::
computeTripleProductTensor() const
{
#ifdef STOKHOS_TEUCHOS_TIME_MONITOR
TEUCHOS_FUNC_TIME_MONITOR("Stokhos: Total Triple-Product Tensor Fill Time");
#endif
TensorProductPredicate<ordinal_type> predicate(max_orders);
return ProductBasisUtils::computeTripleProductTensor(
bases, basis_set, basis_map, predicate, predicate, sparse_tol);
}
template <typename ordinal_type, typename value_type, typename ordering_type>
Teuchos::RCP< Stokhos::Sparse3Tensor<ordinal_type, value_type> >
Stokhos::TensorProductBasis<ordinal_type, value_type, ordering_type>::
computeLinearTripleProductTensor() const
{
#ifdef STOKHOS_TEUCHOS_TIME_MONITOR
TEUCHOS_FUNC_TIME_MONITOR("Stokhos: Total Triple-Product Tensor Fill Time");
#endif
TensorProductPredicate<ordinal_type> predicate(max_orders);
TotalOrderPredicate<ordinal_type> k_predicate(1, max_orders);
return ProductBasisUtils::computeTripleProductTensor(
bases, basis_set, basis_map, predicate, k_predicate, sparse_tol);
}
template <typename ordinal_type, typename value_type, typename ordering_type>
value_type
Stokhos::TensorProductBasis<ordinal_type, value_type, ordering_type>::
evaluateZero(ordinal_type i) const
{
// z = psi_{i_1}(0) * ... * psi_{i_d}(0) where i_1,...,i_d are the basis
// terms for coefficient i
value_type z = value_type(1.0);
for (ordinal_type j=0; j<d; j++)
z = z * bases[j]->evaluate(value_type(0.0), basis_map[i][j]);
return z;
}
template <typename ordinal_type, typename value_type, typename ordering_type>
void
Stokhos::TensorProductBasis<ordinal_type, value_type, ordering_type>::
evaluateBases(const Teuchos::ArrayView<const value_type>& point,
Teuchos::Array<value_type>& basis_vals) const
{
for (ordinal_type j=0; j<d; j++)
bases[j]->evaluateBases(point[j], basis_eval_tmp[j]);
// Only evaluate basis upto number of terms included in basis_pts
for (ordinal_type i=0; i<sz; i++) {
value_type t = value_type(1.0);
for (ordinal_type j=0; j<d; j++)
t *= basis_eval_tmp[j][basis_map[i][j]];
basis_vals[i] = t;
}
}
template <typename ordinal_type, typename value_type, typename ordering_type>
void
Stokhos::TensorProductBasis<ordinal_type, value_type, ordering_type>::
print(std::ostream& os) const
{
os << "Tensor product basis of order " << p << ", dimension " << d
<< ", and size " << sz << ". Component bases:\n";
for (ordinal_type i=0; i<d; i++)
os << *bases[i];
os << "Basis vector norms (squared):\n\t";
for (ordinal_type i=0; i<static_cast<ordinal_type>(norms.size()); i++)
os << norms[i] << " ";
os << "\n";
}
template <typename ordinal_type, typename value_type, typename ordering_type>
const Stokhos::MultiIndex<ordinal_type>&
Stokhos::TensorProductBasis<ordinal_type, value_type, ordering_type>::
term(ordinal_type i) const
{
return basis_map[i];
}
template <typename ordinal_type, typename value_type, typename ordering_type>
ordinal_type
Stokhos::TensorProductBasis<ordinal_type, value_type, ordering_type>::
index(const MultiIndex<ordinal_type>& term) const
{
typename coeff_set_type::const_iterator it = basis_set.find(term);
TEUCHOS_TEST_FOR_EXCEPTION(it == basis_set.end(), std::logic_error,
"Invalid term " << term);
return it->second;
}
template <typename ordinal_type, typename value_type, typename ordering_type>
const std::string&
Stokhos::TensorProductBasis<ordinal_type, value_type, ordering_type>::
getName() const
{
return name;
}
template <typename ordinal_type, typename value_type, typename ordering_type>
Teuchos::Array< Teuchos::RCP<const Stokhos::OneDOrthogPolyBasis<ordinal_type, value_type> > >
Stokhos::TensorProductBasis<ordinal_type, value_type, ordering_type>::
getCoordinateBases() const
{
return bases;
}
template <typename ordinal_type, typename value_type, typename ordering_type>
Stokhos::MultiIndex<ordinal_type>
Stokhos::TensorProductBasis<ordinal_type, value_type, ordering_type>::
getMaxOrders() const
{
return max_orders;
}
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