mapping_cartesian.h

// ---------------------------------------------------------------------
//
// Copyright (C) 2001 - 2018 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 at
// the top level of the deal.II distribution.
//
// ---------------------------------------------------------------------

#ifndef dealii_mapping_cartesian_h
#define dealii_mapping_cartesian_h


#include <deal.II/base/config.h>
#include <deal.II/base/table.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;

  // 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 MappingType                                       type,
             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 MappingType                                         type,
             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 MappingType                                       type,
             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 MappingType                                         type,
             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 MappingType                                       type,
             const typename Mapping<dim,spacedim>::InternalDataBase &internal,
             const ArrayView<Tensor<3,spacedim> >                   &output) const override;

private:

  class InternalData : public Mapping<dim, spacedim>::InternalDataBase
  {
  public:
    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;
  };

  // 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;

  // 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 Quadrature<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;

  // 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 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_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;

  void compute_fill (const typename Triangulation<dim,spacedim>::cell_iterator &cell,
                     const unsigned int face_no,
                     const unsigned int sub_no,
                     const CellSimilarity::Similarity cell_similarity,
                     const InternalData &data,
                     std::vector<Point<dim> > &quadrature_points,
                     std::vector<Tensor<1,dim> > &normal_vectors) const;

  static const unsigned int invalid_face_number = numbers::invalid_unsigned_int;
};

DEAL_II_NAMESPACE_CLOSE

#endif