scalar_polynomials_base.h

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// -----------------------------------------------------------------------------
//
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception OR LGPL-2.1-or-later
// Copyright (C) 2019 - 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_scalar_polynomials_base_h
#define dealii_scalar_polynomials_base_h
 
 
#include <deal.II/base/config.h>
 
#include <deal.II/base/exceptions.h>
#include <deal.II/base/point.h>
#include <deal.II/base/tensor.h>
 
#include <memory>
#include <string>
#include <vector>
 
DEAL_II_NAMESPACE_OPEN

template <int dim>
class ScalarPolynomialsBase
{
public:
  ScalarPolynomialsBase(const unsigned int deg,
                        const unsigned int n_polynomials);

  ScalarPolynomialsBase(ScalarPolynomialsBase<dim> &&) = default; // NOLINT

  ScalarPolynomialsBase(const ScalarPolynomialsBase<dim> &) = default;

  virtual ~ScalarPolynomialsBase() = default;

  virtual 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 = 0;

  virtual double
  compute_value(const unsigned int i, const Point<dim> &p) const = 0;

  template <int order>
  Tensor<order, dim>
  compute_derivative(const unsigned int i, const Point<dim> &p) const;

  virtual Tensor<1, dim>
  compute_1st_derivative(const unsigned int i, const Point<dim> &p) const = 0;

  virtual Tensor<2, dim>
  compute_2nd_derivative(const unsigned int i, const Point<dim> &p) const = 0;

  virtual Tensor<3, dim>
  compute_3rd_derivative(const unsigned int i, const Point<dim> &p) const = 0;

  virtual Tensor<4, dim>
  compute_4th_derivative(const unsigned int i, const Point<dim> &p) const = 0;

  virtual Tensor<1, dim>
  compute_grad(const unsigned int /*i*/, const Point<dim> & /*p*/) const = 0;

  virtual Tensor<2, dim>
  compute_grad_grad(const unsigned int /*i*/,
                    const Point<dim> & /*p*/) const = 0;

  unsigned int
  n() const;

  virtual unsigned int
  degree() const;

  virtual std::unique_ptr<ScalarPolynomialsBase<dim>>
  clone() const = 0;

  virtual std::string
  name() const = 0;

  virtual std::size_t
  memory_consumption() const;
 
private:
  const unsigned int polynomial_degree;

  const unsigned int n_pols;
};
 
 
 
template <int dim>
inline unsigned int
ScalarPolynomialsBase<dim>::n() const
{
  return n_pols;
}
 
 
 
template <int dim>
inline unsigned int
ScalarPolynomialsBase<dim>::degree() const
{
  return polynomial_degree;
}
 
 
 
template <int dim>
template <int order>
inline Tensor<order, dim>
ScalarPolynomialsBase<dim>::compute_derivative(const unsigned int i,
                                               const Point<dim>  &p) const
{
  if constexpr (order == 1)
    {
      return compute_1st_derivative(i, p);
    }
  else if constexpr (order == 2)
    {
      return compute_2nd_derivative(i, p);
    }
  else if constexpr (order == 3)
    {
      return compute_3rd_derivative(i, p);
    }
  else if constexpr (order == 4)
    {
      return compute_4th_derivative(i, p);
    }
  else
    {
      DEAL_II_NOT_IMPLEMENTED();
      return {};
    }
}
 
DEAL_II_NAMESPACE_CLOSE
 
#endif