polynomials_adini.h

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// -----------------------------------------------------------------------------
//
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception OR LGPL-2.1-or-later
// Copyright (C) 2009 - 2024 by the deal.II authors
//
// This file is part of the deal.II library.
//
// Detailed license information governing the source code and contributions
// can be found in LICENSE.md and CONTRIBUTING.md at the top level directory.
//
// -----------------------------------------------------------------------------
 
 
#ifndef dealii_polynomials_adini_h
#define dealii_polynomials_adini_h
 
#include <deal.II/base/config.h>
 
#include <deal.II/base/point.h>
#include <deal.II/base/scalar_polynomials_base.h>
#include <deal.II/base/table.h>
#include <deal.II/base/tensor.h>
 
DEAL_II_NAMESPACE_OPEN
 
template <int dim>
class PolynomialsAdini : public ScalarPolynomialsBase<dim>
{
public:
  PolynomialsAdini();
 
  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;
 
  virtual Tensor<1, dim>
  compute_1st_derivative(const unsigned int i,
                         const Point<dim>  &p) const override;
 
  virtual Tensor<2, dim>
  compute_2nd_derivative(const unsigned int i,
                         const Point<dim>  &p) const override;
 
  virtual Tensor<3, dim>
  compute_3rd_derivative(const unsigned int i,
                         const Point<dim>  &p) const override;
 
  virtual 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;
 
private:
  Table<2, double> coef;
 
  Table<2, double> dx;
 
  Table<2, double> dy;
 
  Table<2, double> dxx;
 
  Table<2, double> dyy;
 
  Table<2, double> dxy;
};
 
 
 
template <int dim>
inline Tensor<1, dim>
PolynomialsAdini<dim>::compute_1st_derivative(const unsigned int /*i*/,
                                              const Point<dim> & /*p*/) const
{
  DEAL_II_NOT_IMPLEMENTED();
  return {};
}
 
 
 
template <int dim>
inline Tensor<2, dim>
PolynomialsAdini<dim>::compute_2nd_derivative(const unsigned int /*i*/,
                                              const Point<dim> & /*p*/) const
{
  DEAL_II_NOT_IMPLEMENTED();
  return {};
}
 
 
 
template <int dim>
inline Tensor<3, dim>
PolynomialsAdini<dim>::compute_3rd_derivative(const unsigned int /*i*/,
                                              const Point<dim> & /*p*/) const
{
  DEAL_II_NOT_IMPLEMENTED();
  return {};
}
 
 
 
template <int dim>
inline Tensor<4, dim>
PolynomialsAdini<dim>::compute_4th_derivative(const unsigned int /*i*/,
                                              const Point<dim> & /*p*/) const
{
  DEAL_II_NOT_IMPLEMENTED();
  return {};
}
 
 
 
template <int dim>
inline std::string
PolynomialsAdini<dim>::name() const
{
  return "PolynomialsAdini";
}
 
 
 
DEAL_II_NAMESPACE_CLOSE
 
#endif