quadrature_lib.h

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// ------------------------------------------------------------------------
//
// SPDX-License-Identifier: LGPL-2.1-or-later
// Copyright (C) 1998 - 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_quadrature_lib_h
#define dealii_quadrature_lib_h
 
 
#include <deal.II/base/config.h>
 
#include <deal.II/base/quadrature.h>
 
DEAL_II_NAMESPACE_OPEN
 
template <int dim>
class QGauss : public Quadrature<dim>
{
public:
  QGauss(const unsigned int n);
};
 
template <int dim>
class QGaussRadau : public Quadrature<dim>
{
public:
  enum EndPoint
  {
    left,
    right
  };
  QGaussRadau(const unsigned int n,
              const EndPoint     end_point = QGaussRadau::EndPoint::left);
 
  QGaussRadau(QGaussRadau<dim> &&) noexcept = default;
 
private:
  const EndPoint end_point;
};
 
 
template <int dim>
class QGaussLobatto : public Quadrature<dim>
{
public:
  QGaussLobatto(const unsigned int n);
};
 
 
 
template <int dim>
class QMidpoint : public Quadrature<dim>
{
public:
  QMidpoint();
};
 
 
template <int dim>
class QSimpson : public Quadrature<dim>
{
public:
  QSimpson();
};
 
 
 
template <int dim>
class QTrapezoid : public Quadrature<dim>
{
public:
  QTrapezoid();
};
 
 
template <int dim>
class QMilne : public Quadrature<dim>
{
public:
  QMilne();
};
 
 
template <int dim>
class QWeddle : public Quadrature<dim>
{
public:
  QWeddle();
};
 
 
 
template <int dim>
class QGaussLog : public Quadrature<dim>
{
public:
  QGaussLog(const unsigned int n, const bool revert = false);
 
private:
  static std::vector<double>
  get_quadrature_points(const unsigned int n);
 
  static std::vector<double>
  get_quadrature_weights(const unsigned int n);
};
 
 
 
template <int dim>
class QGaussLogR : public Quadrature<dim>
{
public:
  QGaussLogR(const unsigned int n,
             const Point<dim>  &x0                         = Point<dim>(),
             const double       alpha                      = 1,
             const bool         factor_out_singular_weight = false);
 
  QGaussLogR(QGaussLogR<dim> &&) noexcept = default;
 
protected:
  const double fraction;
};
 
 
template <int dim>
class QGaussOneOverR : public Quadrature<dim>
{
public:
  QGaussOneOverR(const unsigned int n,
                 const Point<dim>  &singularity,
                 const bool         factor_out_singular_weight = false);
  QGaussOneOverR(const unsigned int n,
                 const unsigned int vertex_index,
                 const bool         factor_out_singular_weight = false);
 
private:
  static unsigned int
  quad_size(const Point<dim> &singularity, const unsigned int n);
};
 
 
 
template <int dim>
class QSorted : public Quadrature<dim>
{
public:
  QSorted(const Quadrature<dim> &quad);
 
private:
  bool
  compare_weights(const unsigned int a, const unsigned int b) const;
};
 
template <int dim>
class QTelles : public Quadrature<dim>
{
public:
  QTelles(const Quadrature<1> &base_quad, const Point<dim> &singularity);
  QTelles(const unsigned int n, const Point<dim> &singularity);
};
 
template <int dim>
class QGaussChebyshev : public Quadrature<dim>
{
public:
  QGaussChebyshev(const unsigned int n);
};
 
 
template <int dim>
class QGaussRadauChebyshev : public Quadrature<dim>
{
public:
  enum EndPoint
  {
    left,
    right
  };
  QGaussRadauChebyshev(
    const unsigned int n,
    const EndPoint     end_point = QGaussRadauChebyshev::EndPoint::left);
 
  QGaussRadauChebyshev(QGaussRadauChebyshev<dim> &&) noexcept = default;
 
private:
  const EndPoint end_point;
};
 
template <int dim>
class QGaussLobattoChebyshev : public Quadrature<dim>
{
public:
  QGaussLobattoChebyshev(const unsigned int n);
};
 
template <int dim>
class QSimplex : public Quadrature<dim>
{
public:
  QSimplex(const Quadrature<dim> &quad);
 
  template <int spacedim = dim>
  Quadrature<spacedim>
  compute_affine_transformation(
    const std::array<Point<spacedim>, dim + 1> &vertices) const;
 
  template <int spacedim = dim>
  Quadrature<spacedim>
  mapped_quadrature(
    const std::vector<std::array<Point<spacedim>, dim + 1>> &simplices) const;
};
 
class QTrianglePolar : public QSimplex<2>
{
public:
  QTrianglePolar(const Quadrature<1> &radial_quadrature,
                 const Quadrature<1> &angular_quadrature);
 
  QTrianglePolar(const unsigned int n);
};
 
class QDuffy : public QSimplex<2>
{
public:
  QDuffy(const Quadrature<1> &radial_quadrature,
         const Quadrature<1> &angular_quadrature,
         const double         beta = 1.0);
 
  QDuffy(const unsigned int n, const double beta);
};
 
template <int dim>
class QSplit : public Quadrature<dim>
{
public:
  QSplit(const QSimplex<dim> &base, const Point<dim> &split_point);
};
 
template <int dim>
class QGaussSimplex : public QSimplex<dim>
{
public:
  explicit QGaussSimplex(const unsigned int n_points_1D);
};
 
template <int dim>
class QWitherdenVincentSimplex : public QSimplex<dim>
{
public:
  explicit QWitherdenVincentSimplex(const unsigned int n_points_1D,
                                    const bool         use_odd_order = true);
};
 
template <int dim>
class QIteratedSimplex : public Quadrature<dim>
{
public:
  QIteratedSimplex(const Quadrature<dim> &base_quadrature,
                   const unsigned int     n_copies);
};
 
template <int dim>
class QGaussWedge : public Quadrature<dim>
{
public:
  explicit QGaussWedge(const unsigned int n_points_1D);
};
 
template <int dim>
class QGaussPyramid : public Quadrature<dim>
{
public:
  explicit QGaussPyramid(const unsigned int n_points_1D);
};
 
/* -------------- declaration of explicit specializations ------------- */
 
#ifndef DOXYGEN
template <>
QGauss<1>::QGauss(const unsigned int n);
template <>
QGaussRadau<1>::QGaussRadau(const unsigned int             n,
                            const QGaussRadau<1>::EndPoint end_point);
template <>
QGaussLobatto<1>::QGaussLobatto(const unsigned int n);
 
template <>
std::vector<double>
QGaussLog<1>::get_quadrature_points(const unsigned int);
template <>
std::vector<double>
QGaussLog<1>::get_quadrature_weights(const unsigned int);
 
template <>
QMidpoint<1>::QMidpoint();
template <>
QTrapezoid<1>::QTrapezoid();
template <>
QSimpson<1>::QSimpson();
template <>
QMilne<1>::QMilne();
template <>
QWeddle<1>::QWeddle();
template <>
QGaussLog<1>::QGaussLog(const unsigned int n, const bool revert);
template <>
QGaussLogR<1>::QGaussLogR(const unsigned int n,
                          const Point<1>    &x0,
                          const double       alpha,
                          const bool         flag);
template <>
QGaussOneOverR<2>::QGaussOneOverR(const unsigned int n,
                                  const unsigned int index,
                                  const bool         flag);
template <>
QTelles<1>::QTelles(const Quadrature<1> &base_quad,
                    const Point<1>      &singularity);
#endif // DOXYGEN
 
 
 
DEAL_II_NAMESPACE_CLOSE
#endif