face_quad9.h

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// The libMesh Finite Element Library.
// Copyright (C) 2002-2014 Benjamin S. Kirk, John W. Peterson, Roy H. Stogner

// This library is free software; you can 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.

// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
// Lesser General Public License for more details.

// You should have received a copy of the GNU Lesser General Public
// License along with this library; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA



#ifndef LIBMESH_FACE_QUAD9_H
#define LIBMESH_FACE_QUAD9_H


// Local includes
#include "libmesh/libmesh_common.h"
#include "libmesh/face_quad.h"

// C++ includes
#include <cstddef>

namespace libMesh
{



// Forward declarations



class Quad9 : public Quad
{
public:

  explicit
  Quad9 (Elem* p=NULL) :
    Quad(Quad9::n_nodes(), p, _nodelinks_data) {}

  ElemType type () const { return QUAD9; }

  unsigned int n_nodes() const { return 9; }

  unsigned int n_sub_elem() const { return 4; }

  virtual bool is_vertex(const unsigned int i) const;

  virtual bool is_edge(const unsigned int i) const;

  virtual bool is_face(const unsigned int i) const;

  /*
   * @returns true iff the specified (local) node number is on the
   * specified side
   */
  virtual bool is_node_on_side(const unsigned int n,
                               const unsigned int s) const;

  /*
   * @returns true iff the specified (local) node number is on the
   * specified edge (== is_node_on_side in 2D)
   */
  virtual bool is_node_on_edge(const unsigned int n,
                               const unsigned int e) const
  { return this->is_node_on_side(n,e); }

  /*
   * @returns true iff the element map is definitely affine within
   * numerical tolerances
   */
  virtual bool has_affine_map () const;

  Order default_order() const { return SECOND; }

  dof_id_type key (const unsigned int s) const;

  UniquePtr<Elem> build_side (const unsigned int i,
                              bool proxy) const;

  virtual void connectivity(const unsigned int sf,
                            const IOPackage iop,
                            std::vector<dof_id_type>& conn) const;

  unsigned int n_second_order_adjacent_vertices (const unsigned int n) const;

  unsigned short int second_order_adjacent_vertex (const unsigned int n,
                                                   const unsigned int v) const;

  virtual std::pair<unsigned short int, unsigned short int>
  second_order_child_vertex (const unsigned int n) const;

  static const unsigned int side_nodes_map[4][3];


protected:

  Node* _nodelinks_data[9];



#ifdef LIBMESH_ENABLE_AMR

  float embedding_matrix (const unsigned int i,
                          const unsigned int j,
                          const unsigned int k) const
  { return _embedding_matrix[i][j][k]; }

  static const float _embedding_matrix[4][9][9];

#endif


};

} // namespace libMesh


#endif // LIBMESH_FACE_QUAD9_H