concepts/archetypes/geometry.hh

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// SPDX-FileCopyrightText: Copyright © DUNE Project contributors, see file LICENSE.md in module root
// SPDX-License-Identifier: LicenseRef-GPL-2.0-only-with-DUNE-exception
// -*- tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*-
// vi: set et ts=4 sw=2 sts=2:
#ifndef DUNE_GRID_CONCEPTS_ARCHETYPES_GEOMETRY_HH
#define DUNE_GRID_CONCEPTS_ARCHETYPES_GEOMETRY_HH

#include <dune/common/fmatrix.hh>
#include <dune/common/fvector.hh>
#include <dune/geometry/type.hh>

#ifndef DOXYGEN
namespace Dune::Concept::Archetypes {

struct ReferenceElement {};

template <int mydim, int cdim = mydim>
struct Geometry
{
  static constexpr int mydimension = mydim;
  static constexpr int coorddimension = cdim;

  using ctype = double;
  using Volume = ctype;
  using LocalCoordinate = Dune::FieldVector<ctype, mydim>;
  using GlobalCoordinate = Dune::FieldVector<ctype, cdim>;
  using Jacobian = Dune::FieldMatrix<ctype, cdim, mydim>;
  using JacobianTransposed = Dune::FieldMatrix<ctype, mydim, cdim>;
  using JacobianInverse = Dune::FieldMatrix<ctype, mydim, cdim>;
  using JacobianInverseTransposed = Dune::FieldMatrix<ctype, cdim, mydim>;

  Dune::GeometryType type () const;
  bool affine () const;
  int corners () const;

  GlobalCoordinate corner (int i) const;
  GlobalCoordinate global (const LocalCoordinate& local) const;
  LocalCoordinate local (const GlobalCoordinate& global) const;
  GlobalCoordinate center () const;

  Volume integrationElement (const LocalCoordinate& local) const;
  Volume volume () const;

  Jacobian jacobian (const LocalCoordinate& local) const;
  JacobianTransposed jacobianTransposed (const LocalCoordinate& local) const;
  JacobianInverse jacobianInverse (const LocalCoordinate& local) const;
  JacobianInverseTransposed jacobianInverseTransposed (const LocalCoordinate& local) const;
};

template <int mydim, int cdim>
Archetypes::ReferenceElement referenceElement (const Geometry<mydim,cdim>& g);

} // end namespace Dune::Concept::Archetypes
#endif // DOXYGEN

#endif // DUNE_GRID_CONCEPTS_ARCHETYPES_GEOMETRY_HH