Shards_CellTopologyTraits.hpp

/*
//@HEADER
// ************************************************************************
//
//                Shards : Shared Discretization Tools
//                 Copyright 2008 Sandia Corporation
//
// Under the terms of Contract DE-AC04-94AL85000 with Sandia Corporation,
// the U.S. Government retains certain rights in this software.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
//
// 1. Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
//
// 2. Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in the
// documentation and/or other materials provided with the distribution.
//
// 3. Neither the name of the Corporation nor the names of the
// contributors may be used to endorse or promote products derived from
// this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
// PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
// LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
// Questions? Contact Carter Edwards (hcedwar@sandia.gov),
//                    Pavel Bochev (pbboche@sandia.gov), or
//                    Denis Ridzal (dridzal@sandia.gov).
//
// ************************************************************************
//@HEADER
*/
 
#ifndef Shards_CellTopologyTraits_hpp
#define Shards_CellTopologyTraits_hpp
 
#include <Shards_TypeList.hpp>
#include <Shards_IndexList.hpp>
#include <Shards_CellTopologyData.h>
 
namespace shards {
 
template< class Traits >
const CellTopologyData * getCellTopologyData();
 
template< unsigned Dimension ,
          unsigned Number_Vertex ,
          unsigned Number_Node ,
          class    EdgeList = TypeListEnd ,
          class    EdgeMaps = TypeListEnd ,
          class    FaceList = TypeListEnd ,
          class    FaceMaps = TypeListEnd ,
          class    PermutationMaps = TypeListEnd ,
          class    PermutationPolarity = IndexList<> >
struct CellTopologyTraits ;
 
struct Node ;
 
//----------------------------------------------------------------------
//----------------------------------------------------------------------
// Implementation details for a much of this file ...
 
#ifndef DOXYGEN_COMPILE
 
template< class CellTop , class CellMap , unsigned Index , bool Good >
struct SubcellNodeIndex ;
 
template< class CellTop , class CellMap , unsigned Index >
struct SubcellNodeIndex< CellTop , CellMap , Index , false >
{ enum { value = ~0u }; };
 
template< class CellTop , class CellMap , unsigned Index >
struct SubcellNodeIndex< CellTop , CellMap , Index , true >
{
private:
  typedef typename CellTop::template subcell<0> subcell_node ;
public:
  enum { value = Index < subcell_node::count
               ? IndexListAt< CellMap , Index >::value : ~0u };
};
 
//----------------------------------------------------------------------
 
template< unsigned SubcellDim , unsigned SubcellOrd , unsigned NodeIndex ,
          unsigned Dimension , unsigned Number_Vertex , unsigned Number_Node ,
          class EdgeList , class EdgeMaps ,
          class FaceList , class FaceMaps ,
          class PermMaps , class Pol>
struct SubcellTopologyTraits ;
 
template< class ListType > struct TypeListHomogeneous ;
 
//----------------------------------------------------------------------
// Self-subcell reference
 
template<>
struct SubcellTopologyTraits<0,0,0,0,0,0,TypeListEnd,TypeListEnd,
                                         TypeListEnd,TypeListEnd,
                                         TypeListEnd,IndexList<> >
{
  typedef CellTopologyTraits<0,0,0> topology ;
  enum { count = 1 };
  enum { node = ~0u };
  enum { homogeneity = true };
};
 
template< unsigned NodeIndex ,
          unsigned NV , unsigned NN ,
          class EList , class EMaps ,
          class FList , class FMaps ,
          class PMaps , class Pol>
struct SubcellTopologyTraits<1,0,NodeIndex, 1,NV,NN,EList,EMaps,FList,FMaps,PMaps,Pol>
{
  typedef CellTopologyTraits<1,NV,NN,EList,EMaps,FList,FMaps,PMaps,Pol> topology ;
  enum { count = 1 };
  enum { node = NodeIndex < NN ? NodeIndex : ~0u };
  enum { homogeneity = true };
};
 
template< unsigned NodeIndex ,
          unsigned NV , unsigned NN ,
          class EList , class EMaps ,
          class FList , class FMaps ,
          class PMaps , class Pol>
struct SubcellTopologyTraits<2,0,NodeIndex, 2,NV,NN,EList,EMaps,FList,FMaps,PMaps,Pol>
{
  typedef CellTopologyTraits<2,NV,NN,EList,EMaps,FList,FMaps,PMaps,Pol> topology ;
  enum { count = 1 };
  enum { node = NodeIndex < NN ? NodeIndex : ~0u };
  enum { homogeneity = true };
};
 
template< unsigned NodeIndex ,
          unsigned NV , unsigned NN ,
          class EList , class EMaps ,
          class FList , class FMaps ,
          class PMaps , class Pol>
struct SubcellTopologyTraits<3,0,NodeIndex, 3,NV,NN,EList,EMaps,FList,FMaps,PMaps,Pol>
{
  typedef CellTopologyTraits<3,NV,NN,EList,EMaps,FList,FMaps,PMaps,Pol> topology ;
  enum { count = 1 };
  enum { node = NodeIndex < NN ? NodeIndex : ~0u };
  enum { homogeneity = true };
};
 
//----------------------------------------------------------------------
// Node-subcell reference:
 
template< unsigned SubcellOrd ,
          unsigned D , unsigned NV , unsigned NN ,
          class EList , class EMaps ,
          class FList , class FMaps ,
          class PMaps , class Pol>
struct SubcellTopologyTraits<0,SubcellOrd,0, D,NV,NN,EList,EMaps,FList,FMaps,PMaps,Pol>
{
  typedef CellTopologyTraits<0,0,0> topology ;
  enum { count = NN };
  enum { node = SubcellOrd < NN ? SubcellOrd : ~0u };
  enum { homogeneity = true };
};
 
// Edge-subcell reference:
 
template< unsigned SubcellOrd , unsigned NodeIndex ,
          unsigned D , unsigned NV , unsigned NN ,
          class EList , class EMaps ,
          class FList , class FMaps ,
          class PMaps , class Pol>
struct SubcellTopologyTraits<1,SubcellOrd,NodeIndex,
                             D,NV,NN,EList,EMaps,FList,FMaps,PMaps,Pol>
{
private:
  typedef typename TypeListAt<EMaps,SubcellOrd>::type node_map ;
public:
 
  typedef typename TypeListAt<EList,SubcellOrd>::type topology ;
 
  enum { count = TypeListLength<EList>::value };
 
  enum { node = SubcellNodeIndex< topology , node_map , NodeIndex ,
                                  SubcellOrd < count >::value };
 
  enum { homogeneity = TypeListHomogeneous<EList>::value };
};
 
// Face-subcell reference:
 
template< unsigned SubcellOrd , unsigned NodeIndex ,
          unsigned D , unsigned NV , unsigned NN ,
          class EList , class EMaps ,
          class FList , class FMaps ,
          class PMaps , class Pol>
struct SubcellTopologyTraits< 2, SubcellOrd, NodeIndex,
                              D,NV,NN,EList,EMaps,FList,FMaps,PMaps,Pol >
{
private:
  typedef typename TypeListAt<FMaps,SubcellOrd>::type node_map ;
public:
 
  typedef typename TypeListAt<FList,SubcellOrd>::type topology ;
 
  enum { count = TypeListLength<FList>::value };
 
  enum { node = SubcellNodeIndex< topology , node_map , NodeIndex ,
                                  SubcellOrd < count >::value };
 
  enum { homogeneity = TypeListHomogeneous<FList>::value };
};
 
//----------------------------------------------------------------------
// Only partially specialized subcell references are valid.
 
template< unsigned SubcellDim , unsigned SubcellOrd , unsigned NodeIndex ,
          unsigned Dimension ,
          unsigned Number_Vertex , unsigned Number_Node ,
          class EdgeList , class EdgeMaps ,
          class FaceList , class FaceMaps ,
          class PermMaps , class Pol >
struct SubcellTopologyTraits
{
  typedef void topology ;
  enum { count = 0 };
  enum { node = ~0u };
  enum { homogeneity = false };
};
 
//----------------------------------------------------------------------
 
template<>
struct TypeListHomogeneous<TypeListEnd> {
  enum { value = true };
};
 
template< class T >
struct TypeListHomogeneous< TypeList<T,TypeListEnd> > {
  enum { value = true };
};
 
template< class T , class Tail >
struct TypeListHomogeneous< TypeList< T, TypeList< T , Tail > > > {
  enum { value = TypeListHomogeneous< TypeList<T,Tail> >::value };
};
 
template< class ListType >
struct TypeListHomogeneous 
{
  enum { value = false };
};
 
//----------------------------------------------------------------------
 
template< unsigned I , unsigned J > struct AssertEqual ;
 
template< unsigned I > struct AssertEqual<I,I> { enum { OK = true }; };
 
#endif /* DOXYGEN_COMPILE */
 
//----------------------------------------------------------------------
template< unsigned Dimension , unsigned Number_Vertex , unsigned Number_Node ,
          class EdgeList , class EdgeMaps ,
          class FaceList , class FaceMaps ,
          class PermutationMaps ,
          class PermutationPolarity >
struct CellTopologyTraits
{
  typedef CellTopologyTraits< Dimension, Number_Vertex, Number_Node,
                              EdgeList, EdgeMaps, FaceList, FaceMaps,
                              PermutationMaps, PermutationPolarity > Traits ;
 
  enum {
    dimension    = Dimension ,
 
    vertex_count = Number_Vertex ,
 
    node_count   = Number_Node ,
 
    edge_count   = TypeListLength<EdgeList>::value ,
 
#ifndef DOXYGEN_COMPILE
    face_count   = TypeListLength<FaceList>::value ,
#endif
 
    side_count   = Dimension == 3 ? face_count : (
                   Dimension == 2 ? edge_count : 0 ),
 
    key  = ( dimension    << 28 /*  4 bits, max    7 */ ) |
           ( face_count   << 22 /*  6 bits, max   63 */ ) |
           ( edge_count   << 16 /*  6 bits, max   63 */ ) |
           ( vertex_count << 10 /*  6 bits, max   63 */ ) |
           ( node_count         /* 10 bits, max 1023 */ ) };
 
  template< unsigned Dim, unsigned Ord = 0, unsigned J = 0 >
  struct subcell :
    public SubcellTopologyTraits< Dim , Ord , J ,
                                  dimension , vertex_count , node_count ,
                                  EdgeList , EdgeMaps ,
                                  FaceList , FaceMaps ,
                                  PermutationMaps, PermutationPolarity > {};
 
  template< unsigned Ord = 0 , unsigned J = 0 >
  struct side :
    public SubcellTopologyTraits< ( 1 < dimension ? dimension - 1 : 4 ) ,
                                  Ord , J ,
                                  dimension , vertex_count , node_count ,
                                  EdgeList , EdgeMaps ,
                                  FaceList , FaceMaps ,
                                  TypeListEnd , IndexList<> > {};
 
  template< unsigned Ord = 0 , unsigned J = 0 >
  struct edge :
    public SubcellTopologyTraits< ( 1 < dimension ? 1 : 4 ) , Ord , J ,
                                  dimension , vertex_count , node_count ,
                                  EdgeList , EdgeMaps ,
                                  TypeListEnd , TypeListEnd ,
                                  TypeListEnd , IndexList<> > {};
 
  //--------------------------------------------------------------------
  template< unsigned Perm , unsigned J = 0 >
  struct permutation {
  private:
    typedef typename TypeListAt< PermutationMaps , Perm >::type node_map ;
  public:
    enum { node = J < node_count ? IndexListAt< node_map , J >::value : ~0u };
    enum { polarity = IndexListAt< PermutationPolarity , Perm >::value };
  };
 
  template< unsigned Perm , unsigned J = 0 >
  struct permutation_inverse {
  private:
    typedef typename TypeListAt< PermutationMaps , Perm >::type forward_map ;
    typedef typename IndexListInverse< forward_map >::type node_map ;
  public:
    enum { node = J < node_count ? IndexListAt< node_map , J >::value : ~0u };
    enum { polarity = IndexListAt< PermutationPolarity , Perm >::value };
  };
 
  enum { permutation_count = TypeListLength< PermutationMaps >::value };
 
  //--------------------------------------------------------------------
 
private:
 
#ifndef DOXYGEN_COMPILE
 
  enum { nedge_map = TypeListLength<EdgeMaps>::value ,
         nface_map = TypeListLength<FaceMaps>::value ,
         polarity_count = IndexListLength< PermutationPolarity >::value };
 
  enum { OK_edge  = AssertEqual< edge_count , nedge_map >::OK };
  enum { OK_face  = AssertEqual< face_count , nface_map >::OK };
  enum { OK_dimen = AssertEqual< 0 , (dimension    >>  3) >::OK };
  enum { OK_faceN = AssertEqual< 0 , (face_count   >>  6) >::OK };
  enum { OK_edgeN = AssertEqual< 0 , (edge_count   >>  6) >::OK };
  enum { OK_vertN = AssertEqual< 0 , (vertex_count >>  6) >::OK };
  enum { OK_nodeN = AssertEqual< 0 , (node_count   >> 10) >::OK };
  enum { OK_permN = AssertEqual< permutation_count, polarity_count >::OK };
 
#endif
 
};
 
} // namespace shards
 
#endif // Shards_CellTopologyTraits_hpp