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// ------------------------------------------------------------------------
//
// SPDX-License-Identifier: LGPL-2.1-or-later
// Copyright (C) 2020 - 2024 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/polynomials_barycentric.h>
#include <deal.II/base/polynomials_wedge.h>
DEAL_II_NAMESPACE_OPEN
namespace
{
unsigned int
compute_n_polynomials_wedge(const unsigned int dim, const unsigned int degree)
{
if (dim == 3)
{
if (degree == 1)
return 6;
if (degree == 2)
return 18;
}
DEAL_II_NOT_IMPLEMENTED();
return 0;
}
} // namespace
template <int dim>
ScalarLagrangePolynomialWedge<dim>::ScalarLagrangePolynomialWedge(
const unsigned int degree)
: ScalarPolynomialsBase<dim>(degree, compute_n_polynomials_wedge(dim, degree))
, poly_tri(BarycentricPolynomials<2>::get_fe_p_basis(degree))
, poly_line(BarycentricPolynomials<1>::get_fe_p_basis(degree))
{}
template <int dim>
double
ScalarLagrangePolynomialWedge<dim>::compute_value(const unsigned int i,
const Point<dim> &p) const
{
const auto pair = this->degree() == 1 ? internal::wedge_table_1[i] :
internal::wedge_table_2[i];
const Point<2> p_tri(p[0], p[1]);
const auto v_tri = poly_tri.compute_value(pair[0], p_tri);
const Point<1> p_line(p[2]);
const auto v_line = poly_line.compute_value(pair[1], p_line);
return v_tri * v_line;
}
template <int dim>
Tensor<1, dim>
ScalarLagrangePolynomialWedge<dim>::compute_grad(const unsigned int i,
const Point<dim> &p) const
{
const auto pair = this->degree() == 1 ? internal::wedge_table_1[i] :
internal::wedge_table_2[i];
const Point<2> p_tri(p[0], p[1]);
const auto v_tri = poly_tri.compute_value(pair[0], p_tri);
const auto g_tri = poly_tri.compute_grad(pair[0], p_tri);
const Point<1> p_line(p[2]);
const auto v_line = poly_line.compute_value(pair[1], p_line);
const auto g_line = poly_line.compute_grad(pair[1], p_line);
Tensor<1, dim> grad;
grad[0] = g_tri[0] * v_line;
grad[1] = g_tri[1] * v_line;
grad[2] = v_tri * g_line[0];
return grad;
}
template <int dim>
Tensor<2, dim>
ScalarLagrangePolynomialWedge<dim>::compute_grad_grad(const unsigned int i,
const Point<dim> &p) const
{
(void)i;
(void)p;
DEAL_II_NOT_IMPLEMENTED();
return Tensor<2, dim>();
}
template <int dim>
void
ScalarLagrangePolynomialWedge<dim>::evaluate(
const Point<dim> &unit_point,
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
{
(void)grads;
(void)grad_grads;
(void)third_derivatives;
(void)fourth_derivatives;
if (values.size() == this->n())
for (unsigned int i = 0; i < this->n(); ++i)
values[i] = compute_value(i, unit_point);
if (grads.size() == this->n())
for (unsigned int i = 0; i < this->n(); ++i)
grads[i] = compute_grad(i, unit_point);
}
template <int dim>
Tensor<1, dim>
ScalarLagrangePolynomialWedge<dim>::compute_1st_derivative(
const unsigned int i,
const Point<dim> &p) const
{
return compute_grad(i, p);
}
template <int dim>
Tensor<2, dim>
ScalarLagrangePolynomialWedge<dim>::compute_2nd_derivative(
const unsigned int i,
const Point<dim> &p) const
{
(void)i;
(void)p;
DEAL_II_NOT_IMPLEMENTED();
return {};
}
template <int dim>
Tensor<3, dim>
ScalarLagrangePolynomialWedge<dim>::compute_3rd_derivative(
const unsigned int i,
const Point<dim> &p) const
{
(void)i;
(void)p;
DEAL_II_NOT_IMPLEMENTED();
return {};
}
template <int dim>
Tensor<4, dim>
ScalarLagrangePolynomialWedge<dim>::compute_4th_derivative(
const unsigned int i,
const Point<dim> &p) const
{
(void)i;
(void)p;
DEAL_II_NOT_IMPLEMENTED();
return {};
}
template <int dim>
std::string
ScalarLagrangePolynomialWedge<dim>::name() const
{
return "ScalarLagrangePolynomialWedge";
}
template <int dim>
std::unique_ptr<ScalarPolynomialsBase<dim>>
ScalarLagrangePolynomialWedge<dim>::clone() const
{
return std::make_unique<ScalarLagrangePolynomialWedge<dim>>(*this);
}
template class ScalarLagrangePolynomialWedge<1>;
template class ScalarLagrangePolynomialWedge<2>;
template class ScalarLagrangePolynomialWedge<3>;
DEAL_II_NAMESPACE_CLOSE
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