mapping.cc

Go to the documentation of this file.

// ---------------------------------------------------------------------
//
// Copyright (C) 2001 - 2020 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.
//
// ---------------------------------------------------------------------


#include <deal.II/boost_adaptors/bounding_box.h>

#include <deal.II/fe/mapping.h>

#include <deal.II/grid/tria.h>

DEAL_II_NAMESPACE_OPEN


template <int dim, int spacedim>
std::array<Point<spacedim>, GeometryInfo<dim>::vertices_per_cell>
Mapping<dim, spacedim>::get_vertices(
  const typename Triangulation<dim, spacedim>::cell_iterator &cell) const
{
  std::array<Point<spacedim>, GeometryInfo<dim>::vertices_per_cell> vertices;
  for (const unsigned int i : GeometryInfo<dim>::vertex_indices())
    {
      vertices[i] = cell->vertex(i);
    }
  return vertices;
}



template <int dim, int spacedim>
Point<spacedim>
Mapping<dim, spacedim>::get_center(
  const typename Triangulation<dim, spacedim>::cell_iterator &cell,
  const bool map_center_of_reference_cell) const
{
  if (map_center_of_reference_cell)
    {
      Point<dim> reference_center;
      for (unsigned int d = 0; d < dim; ++d)
        reference_center[d] = .5;
      return transform_unit_to_real_cell(cell, reference_center);
    }
  else
    {
      const auto      vertices = get_vertices(cell);
      Point<spacedim> center;
      for (const auto &v : vertices)
        center += v;
      return center / GeometryInfo<dim>::vertices_per_cell;
    }
}



template <int dim, int spacedim>
BoundingBox<spacedim>
Mapping<dim, spacedim>::get_bounding_box(
  const typename Triangulation<dim, spacedim>::cell_iterator &cell) const
{
  if (preserves_vertex_locations())
    return cell->bounding_box();
  else
    return BoundingBox<spacedim>(get_vertices(cell));
}



template <int dim, int spacedim>
Point<dim - 1>
Mapping<dim, spacedim>::project_real_point_to_unit_point_on_face(
  const typename Triangulation<dim, spacedim>::cell_iterator &cell,
  const unsigned int                                          face_no,
  const Point<spacedim> &                                     p) const
{
  // The function doesn't make physical sense for dim=1
  Assert(dim > 1, ExcNotImplemented());
  // Not implemented for higher dimensions
  Assert(dim <= 3, ExcNotImplemented());

  Point<dim> unit_cell_pt = transform_real_to_unit_cell(cell, p);

  const unsigned int unit_normal_direction =
    GeometryInfo<dim>::unit_normal_direction[face_no];

  if (dim == 2)
    {
      if (unit_normal_direction == 0)
        return Point<dim - 1>{unit_cell_pt(1)};
      else if (unit_normal_direction == 1)
        return Point<dim - 1>{unit_cell_pt(0)};
    }
  else if (dim == 3)
    {
      if (unit_normal_direction == 0)
        return Point<dim - 1>{unit_cell_pt(1), unit_cell_pt(2)};
      else if (unit_normal_direction == 1)
        return Point<dim - 1>{unit_cell_pt(0), unit_cell_pt(2)};
      else if (unit_normal_direction == 2)
        return Point<dim - 1>{unit_cell_pt(0), unit_cell_pt(1)};
    }

  // We should never get here
  Assert(false, ExcInternalError());
  return {};
}

/* ---------------------------- InternalDataBase --------------------------- */


template <int dim, int spacedim>
Mapping<dim, spacedim>::InternalDataBase::InternalDataBase()
  : update_each(update_default)
{}



template <int dim, int spacedim>
std::size_t
Mapping<dim, spacedim>::InternalDataBase::memory_consumption() const
{
  return sizeof(*this);
}


/*------------------------------ InternalData ------------------------------*/



// explicit instantiations
#include "mapping.inst"


DEAL_II_NAMESPACE_CLOSE