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// ------------------------------------------------------------------------
//
// SPDX-License-Identifier: LGPL-2.1-or-later
// Copyright (C) 2013 - 2025 by the deal.II authors
//
// This file is part of the deal.II library.
//
// Part of the source code is dual licensed under Apache-2.0 WITH
// LLVM-exception OR LGPL-2.1-or-later. Detailed license information
// governing the source code and code contributions can be found in
// LICENSE.md and CONTRIBUTING.md at the top level directory of deal.II.
//
// ------------------------------------------------------------------------
#include <deal.II/base/exceptions.h>
#include <deal.II/base/tensor_product_polynomials_const.h>
#include <memory>
DEAL_II_NAMESPACE_OPEN
/* ------------------- TensorProductPolynomialsConst -------------- */
template <int dim>
void
TensorProductPolynomialsConst<dim>::output_indices(std::ostream &out) const
{
std::array<unsigned int, dim> ix;
for (unsigned int i = 0; i < tensor_polys.n(); ++i)
{
tensor_polys.compute_index(i, ix);
out << i << "\t";
for (unsigned int d = 0; d < dim; ++d)
out << ix[d] << " ";
out << std::endl;
}
}
template <int dim>
void
TensorProductPolynomialsConst<dim>::set_numbering(
const std::vector<unsigned int> &renumber)
{
Assert(renumber.size() == index_map.size(),
ExcDimensionMismatch(renumber.size(), index_map.size()));
index_map = renumber;
for (unsigned int i = 0; i < index_map.size(); ++i)
index_map_inverse[index_map[i]] = i;
std::vector<unsigned int> renumber_base;
renumber_base.reserve(tensor_polys.n());
for (unsigned int i = 0; i < tensor_polys.n(); ++i)
renumber_base.push_back(renumber[i]);
tensor_polys.set_numbering(renumber_base);
}
template <int dim>
double
TensorProductPolynomialsConst<dim>::compute_value(const unsigned int i,
const Point<dim> &p) const
{
const unsigned int max_indices = tensor_polys.n();
Assert(i <= max_indices, ExcInternalError());
// treat the regular basis functions
if (i < max_indices)
return tensor_polys.compute_value(i, p);
else
// this is for the constant function
return 1.;
}
template <int dim>
Tensor<1, dim>
TensorProductPolynomialsConst<dim>::compute_grad(const unsigned int i,
const Point<dim> &p) const
{
if constexpr (dim == 0)
{
(void)i;
(void)p;
DEAL_II_NOT_IMPLEMENTED();
return {};
}
else
{
const unsigned int max_indices = tensor_polys.n();
Assert(i <= max_indices, ExcInternalError());
// treat the regular basis functions
if (i < max_indices)
return tensor_polys.compute_grad(i, p);
else
// this is for the constant function
return Tensor<1, dim>();
}
}
template <int dim>
Tensor<2, dim>
TensorProductPolynomialsConst<dim>::compute_grad_grad(const unsigned int i,
const Point<dim> &p) const
{
const unsigned int max_indices = tensor_polys.n();
Assert(i <= max_indices, ExcInternalError());
// treat the regular basis functions
if (i < max_indices)
return tensor_polys.compute_grad_grad(i, p);
else
// this is for the constant function
return Tensor<2, dim>();
}
template <int dim>
void
TensorProductPolynomialsConst<dim>::evaluate(
const Point<dim> &p,
std::vector<double> &values,
std::vector<Tensor<1, dim>> &grads,
std::vector<Tensor<2, dim>> &grad_grads,
std::vector<Tensor<3, dim>> &third_derivatives,
std::vector<Tensor<4, dim>> &fourth_derivatives) const
{
Assert(values.size() == tensor_polys.n() + 1 || values.empty(),
ExcDimensionMismatch2(values.size(), tensor_polys.n() + 1, 0));
Assert(grads.size() == tensor_polys.n() + 1 || grads.empty(),
ExcDimensionMismatch2(grads.size(), tensor_polys.n() + 1, 0));
Assert(grad_grads.size() == tensor_polys.n() + 1 || grad_grads.empty(),
ExcDimensionMismatch2(grad_grads.size(), tensor_polys.n() + 1, 0));
Assert(third_derivatives.size() == tensor_polys.n() + 1 ||
third_derivatives.empty(),
ExcDimensionMismatch2(third_derivatives.size(),
tensor_polys.n() + 1,
0));
Assert(fourth_derivatives.size() == tensor_polys.n() + 1 ||
fourth_derivatives.empty(),
ExcDimensionMismatch2(fourth_derivatives.size(),
tensor_polys.n() + 1,
0));
// remove slot for const value, go into the base class compute method and
// finally append the const value again
bool do_values = false, do_grads = false, do_grad_grads = false;
bool do_3rd_derivatives = false, do_4th_derivatives = false;
if (values.empty() == false)
{
values.pop_back();
do_values = true;
}
if (grads.empty() == false)
{
grads.pop_back();
do_grads = true;
}
if (grad_grads.empty() == false)
{
grad_grads.pop_back();
do_grad_grads = true;
}
if (third_derivatives.empty() == false)
{
third_derivatives.resize(tensor_polys.n());
do_3rd_derivatives = true;
}
if (fourth_derivatives.empty() == false)
{
fourth_derivatives.resize(tensor_polys.n());
do_4th_derivatives = true;
}
tensor_polys.evaluate(
p, values, grads, grad_grads, third_derivatives, fourth_derivatives);
// for dgq node: values =1, grads=0, grads_grads=0, third_derivatives=0,
// fourth_derivatives=0
if (do_values)
values.push_back(1.);
if (do_grads)
grads.emplace_back();
if (do_grad_grads)
grad_grads.emplace_back();
if (do_3rd_derivatives)
third_derivatives.emplace_back();
if (do_4th_derivatives)
fourth_derivatives.emplace_back();
}
template <int dim>
std::unique_ptr<ScalarPolynomialsBase<dim>>
TensorProductPolynomialsConst<dim>::clone() const
{
return std::make_unique<TensorProductPolynomialsConst<dim>>(*this);
}
/* ------------------- explicit instantiations -------------- */
template class TensorProductPolynomialsConst<1>;
template class TensorProductPolynomialsConst<2>;
template class TensorProductPolynomialsConst<3>;
DEAL_II_NAMESPACE_CLOSE
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