mapping_cartesian.h

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// ---------------------------------------------------------------------
//
// Copyright (C) 2001 - 2022 by the deal.II authors
//
// This file is part of the deal.II library.
//
// The deal.II library is free software; you can use it, redistribute
// it, and/or modify it under the terms of the GNU Lesser General
// Public License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.
// The full text of the license can be found in the file LICENSE.md at
// the top level directory of deal.II.
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// ---------------------------------------------------------------------
 
#ifndef dealii_mapping_cartesian_h
#define dealii_mapping_cartesian_h
 
 
#include <deal.II/base/config.h>
 
#include <deal.II/base/qprojector.h>
 
#include <deal.II/fe/mapping.h>
 
#include <cmath>
 
 
DEAL_II_NAMESPACE_OPEN
 
template <int dim, int spacedim = dim>
class MappingCartesian : public Mapping<dim, spacedim>
{
public:
  // for documentation, see the Mapping base class
  virtual std::unique_ptr<Mapping<dim, spacedim>>
  clone() const override;
 
  virtual bool
  preserves_vertex_locations() const override;
 
  virtual bool
  is_compatible_with(const ReferenceCell &reference_cell) const override;
 
  // for documentation, see the Mapping base class
  virtual Point<spacedim>
  transform_unit_to_real_cell(
    const typename Triangulation<dim, spacedim>::cell_iterator &cell,
    const Point<dim> &p) const override;
 
  // for documentation, see the Mapping base class
  virtual Point<dim>
  transform_real_to_unit_cell(
    const typename Triangulation<dim, spacedim>::cell_iterator &cell,
    const Point<spacedim> &p) const override;
 
  // for documentation, see the Mapping base class
  virtual void
  transform(const ArrayView<const Tensor<1, dim>> &                  input,
            const MappingKind                                        kind,
            const typename Mapping<dim, spacedim>::InternalDataBase &internal,
            const ArrayView<Tensor<1, spacedim>> &output) const override;
 
  // for documentation, see the Mapping base class
  virtual void
  transform(const ArrayView<const DerivativeForm<1, dim, spacedim>> &input,
            const MappingKind                                        kind,
            const typename Mapping<dim, spacedim>::InternalDataBase &internal,
            const ArrayView<Tensor<2, spacedim>> &output) const override;
 
  // for documentation, see the Mapping base class
  virtual void
  transform(const ArrayView<const Tensor<2, dim>> &                  input,
            const MappingKind                                        kind,
            const typename Mapping<dim, spacedim>::InternalDataBase &internal,
            const ArrayView<Tensor<2, spacedim>> &output) const override;
 
  // for documentation, see the Mapping base class
  virtual void
  transform(const ArrayView<const DerivativeForm<2, dim, spacedim>> &input,
            const MappingKind                                        kind,
            const typename Mapping<dim, spacedim>::InternalDataBase &internal,
            const ArrayView<Tensor<3, spacedim>> &output) const override;
 
  // for documentation, see the Mapping base class
  virtual void
  transform(const ArrayView<const Tensor<3, dim>> &                  input,
            const MappingKind                                        kind,
            const typename Mapping<dim, spacedim>::InternalDataBase &internal,
            const ArrayView<Tensor<3, spacedim>> &output) const override;
 
  void
  fill_mapping_data_for_generic_points(
    const typename Triangulation<dim, spacedim>::cell_iterator &cell,
    const ArrayView<const Point<dim>> &                         unit_points,
    const UpdateFlags                                           update_flags,
    internal::FEValuesImplementation::MappingRelatedData<dim, spacedim>
      &output_data) const;
 
  class InternalData : public Mapping<dim, spacedim>::InternalDataBase
  {
  public:
    InternalData() = default;
 
    InternalData(const Quadrature<dim> &quadrature);
 
    virtual std::size_t
    memory_consumption() const override;
 
    mutable Tensor<1, dim> cell_extents;
 
    mutable double volume_element;
 
    std::vector<Point<dim>> quadrature_points;
  };
 
private:
  // documentation can be found in Mapping::requires_update_flags()
  virtual UpdateFlags
  requires_update_flags(const UpdateFlags update_flags) const override;
 
  // documentation can be found in Mapping::get_data()
  virtual std::unique_ptr<typename Mapping<dim, spacedim>::InternalDataBase>
  get_data(const UpdateFlags, const Quadrature<dim> &quadrature) const override;
 
  using Mapping<dim, spacedim>::get_face_data;
 
  // documentation can be found in Mapping::get_face_data()
  virtual std::unique_ptr<typename Mapping<dim, spacedim>::InternalDataBase>
  get_face_data(const UpdateFlags               flags,
                const hp::QCollection<dim - 1> &quadrature) const override;
 
  // documentation can be found in Mapping::get_subface_data()
  virtual std::unique_ptr<typename Mapping<dim, spacedim>::InternalDataBase>
  get_subface_data(const UpdateFlags          flags,
                   const Quadrature<dim - 1> &quadrature) const override;
 
  // documentation can be found in Mapping::fill_fe_values()
  virtual CellSimilarity::Similarity
  fill_fe_values(
    const typename Triangulation<dim, spacedim>::cell_iterator &cell,
    const CellSimilarity::Similarity                            cell_similarity,
    const Quadrature<dim> &                                     quadrature,
    const typename Mapping<dim, spacedim>::InternalDataBase &   internal_data,
    internal::FEValuesImplementation::MappingRelatedData<dim, spacedim>
      &output_data) const override;
 
  using Mapping<dim, spacedim>::fill_fe_face_values;
 
  // documentation can be found in Mapping::fill_fe_face_values()
  virtual void
  fill_fe_face_values(
    const typename Triangulation<dim, spacedim>::cell_iterator &cell,
    const unsigned int                                          face_no,
    const hp::QCollection<dim - 1> &                            quadrature,
    const typename Mapping<dim, spacedim>::InternalDataBase &   internal_data,
    internal::FEValuesImplementation::MappingRelatedData<dim, spacedim>
      &output_data) const override;
 
  // documentation can be found in Mapping::fill_fe_subface_values()
  virtual void
  fill_fe_subface_values(
    const typename Triangulation<dim, spacedim>::cell_iterator &cell,
    const unsigned int                                          face_no,
    const unsigned int                                          subface_no,
    const Quadrature<dim - 1> &                                 quadrature,
    const typename Mapping<dim, spacedim>::InternalDataBase &   internal_data,
    internal::FEValuesImplementation::MappingRelatedData<dim, spacedim>
      &output_data) const override;
 
  // documentation can be found in Mapping::fill_fe_immersed_surface_values()
  virtual void
  fill_fe_immersed_surface_values(
    const typename Triangulation<dim, spacedim>::cell_iterator &cell,
    const NonMatching::ImmersedSurfaceQuadrature<dim> &         quadrature,
    const typename Mapping<dim, spacedim>::InternalDataBase &   internal_data,
    internal::FEValuesImplementation::MappingRelatedData<dim, spacedim>
      &output_data) const override;
 
  void
  update_cell_extents(
    const typename Triangulation<dim, spacedim>::cell_iterator &cell,
    const CellSimilarity::Similarity                            cell_similarity,
    const InternalData &                                        data) const;
 
  void
  maybe_update_cell_quadrature_points(
    const typename Triangulation<dim, spacedim>::cell_iterator &cell,
    const InternalData &                                        data,
    std::vector<Point<dim>> &quadrature_points) const;
 
  void
  maybe_update_face_quadrature_points(
    const typename Triangulation<dim, spacedim>::cell_iterator &cell,
    const unsigned int                                          face_no,
    const InternalData &                                        data,
    std::vector<Point<dim>> &quadrature_points) const;
 
  void
  maybe_update_subface_quadrature_points(
    const typename Triangulation<dim, spacedim>::cell_iterator &cell,
    const unsigned int                                          face_no,
    const unsigned int                                          sub_no,
    const InternalData &                                        data,
    std::vector<Point<dim>> &quadrature_points) const;
 
  void
  transform_quadrature_points(
    const typename Triangulation<dim, spacedim>::cell_iterator &cell,
    const InternalData &                                        data,
    const typename QProjector<dim>::DataSetDescriptor &         offset,
    std::vector<Point<dim>> &quadrature_points) const;
 
  void
  maybe_update_normal_vectors(
    const unsigned int           face_no,
    const InternalData &         data,
    std::vector<Tensor<1, dim>> &normal_vectors) const;
 
  void
  maybe_update_jacobian_derivatives(
    const InternalData &             data,
    const CellSimilarity::Similarity cell_similarity,
    internal::FEValuesImplementation::MappingRelatedData<dim, spacedim>
      &output_data) const;
 
 
  void
  maybe_update_volume_elements(const InternalData &data) const;
 
  void
  maybe_update_jacobians(
    const InternalData &             data,
    const CellSimilarity::Similarity cell_similarity,
    internal::FEValuesImplementation::MappingRelatedData<dim, spacedim>
      &output_data) const;
 
  void
  maybe_update_inverse_jacobians(
    const InternalData &             data,
    const CellSimilarity::Similarity cell_similarity,
    internal::FEValuesImplementation::MappingRelatedData<dim, spacedim>
      &output_data) const;
};
 
DEAL_II_NAMESPACE_CLOSE
 
#endif