polynomials_pyramid.h

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// ------------------------------------------------------------------------
//
// SPDX-License-Identifier: LGPL-2.1-or-later
// Copyright (C) 2021 - 2023 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.
//
// ------------------------------------------------------------------------
 
 
#ifndef dealii_polynomials_pyramid_h
#define dealii_polynomials_pyramid_h
 
#include <deal.II/base/config.h>
 
#include <deal.II/base/scalar_polynomials_base.h>
 
DEAL_II_NAMESPACE_OPEN
 
template <int dim>
class ScalarLagrangePolynomialPyramid : public ScalarPolynomialsBase<dim>
{
public:
  static constexpr unsigned int dimension = dim;
 
  /*
   * Constructor taking the polynomial @p degree as input.
   *
   * @note Currently, only linear polynomials (degree=1) are implemented.
   */
  ScalarLagrangePolynomialPyramid(const unsigned int degree);
 
  void
  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 override;
 
  double
  compute_value(const unsigned int i, const Point<dim> &p) const override;
 
  template <int order>
  Tensor<order, dim>
  compute_derivative(const unsigned int i, const Point<dim> &p) const;
 
  Tensor<1, dim>
  compute_1st_derivative(const unsigned int i,
                         const Point<dim>  &p) const override;
 
  Tensor<2, dim>
  compute_2nd_derivative(const unsigned int i,
                         const Point<dim>  &p) const override;
 
  Tensor<3, dim>
  compute_3rd_derivative(const unsigned int i,
                         const Point<dim>  &p) const override;
 
  Tensor<4, dim>
  compute_4th_derivative(const unsigned int i,
                         const Point<dim>  &p) const override;
 
  Tensor<1, dim>
  compute_grad(const unsigned int i, const Point<dim> &p) const override;
 
  Tensor<2, dim>
  compute_grad_grad(const unsigned int i, const Point<dim> &p) const override;
 
  std::string
  name() const override;
 
  virtual std::unique_ptr<ScalarPolynomialsBase<dim>>
  clone() const override;
};
 
 
 
template <int dim>
template <int order>
Tensor<order, dim>
ScalarLagrangePolynomialPyramid<dim>::compute_derivative(
  const unsigned int i,
  const Point<dim>  &p) const
{
  Tensor<order, dim> der;
 
  Assert(order == 1, ExcNotImplemented());
  const auto grad = compute_grad(i, p);
 
  for (unsigned int i = 0; i < dim; ++i)
    der[i] = grad[i];
 
  return der;
}
 
DEAL_II_NAMESPACE_CLOSE
 
#endif