powerspace.hh

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#ifndef DUNE_FEM_SPACE_COMBINEDSPACE_POWERSPACE_HH
#define DUNE_FEM_SPACE_COMBINEDSPACE_POWERSPACE_HH
 
#include <algorithm>
#include <memory>
#include <type_traits>
 
#include <dune/common/math.hh>
 
#include <dune/grid/common/grid.hh>
 
#include <dune/fem/common/memory.hh>
#include <dune/fem/common/utility.hh>
#include <dune/fem/space/basisfunctionset/vectorial.hh>
#include <dune/fem/space/combinedspace/generic.hh>
#include <dune/fem/space/combinedspace/interpolation.hh>
#include <dune/fem/space/combinedspace/lagrangepointsetexporter.hh>
#include <dune/fem/space/combinedspace/powerlocalrestrictprolong.hh>
#include <dune/fem/space/combinedspace/powermapper.hh>
#include <dune/fem/space/common/defaultcommhandler.hh>
 
namespace Dune
{
 
  namespace Fem
  {
 
    // forward declaration
 
    template< class DiscreteFunctionSpace, int N >
    class PowerDiscreteFunctionSpace;
 
 
    // PowerDiscreteFunctionSpaceTraits
    // --------------------------------
 
    template< class DiscreteFunctionSpace, int N >
    struct PowerDiscreteFunctionSpaceTraits
    {
      // we need to store pointer to the spaces in the SpaceTuple, since space can not be copied.
      typedef std::shared_ptr< DiscreteFunctionSpace > DiscreteFunctionSpaceTupleType;
 
      // helper struct to access contained sub spaces
      template< int >
      struct SubDiscreteFunctionSpace
      {
        // type of i-th sub space
        typedef DiscreteFunctionSpace Type;
 
        // type of i-th sub BlockMapper
        typedef typename Type::BlockMapperType BlockMapperType;
 
        // access to a const ref of the i-th subspace
        static const Type &subDiscreteFunctionSpace ( const DiscreteFunctionSpaceTupleType &tuple )
        {
          return (*tuple);
        }
 
        static BlockMapperType &subBlockMapper ( const DiscreteFunctionSpaceTupleType &tuple )
        {
          return subDiscreteFunctionSpace().blockMapper();
        }
      };
 
      // type of GridPart
      typedef typename DiscreteFunctionSpace::GridPartType GridPartType;
      typedef typename GridPartType::GridType GridType;
      typedef typename GridPartType::IndexSetType IndexSetType;
      typedef typename GridPartType::template Codim< 0 >::IteratorType IteratorType;
      typedef typename IteratorType::Entity EntityType;
      typedef typename GridPartType::IntersectionType IntersectionType;
 
      // type of this space
      typedef PowerDiscreteFunctionSpace< DiscreteFunctionSpace, N > DiscreteFunctionSpaceType;
 
      static const int codimension = DiscreteFunctionSpace::Traits::codimension;
 
      static_assert( DiscreteFunctionSpace::FunctionSpaceType::dimRange == 1,
                     "PowerDiscreteFunctionSpace only works for ContainedSpaces with dimRange = 1" );
      typedef typename DiscreteFunctionSpace::BasisFunctionSetType ScalarBasisFunctionSetType;
      typedef typename ScalarBasisFunctionSetType::FunctionSpaceType::RangeFieldType RangeFieldType;
      typedef VectorialBasisFunctionSet< ScalarBasisFunctionSetType, FieldVector< RangeFieldType, N >, VerticalDofAlignment > BasisFunctionSetType;
 
      // type of block mapper
      typedef PowerMapper< GridPartType, typename DiscreteFunctionSpace::BlockMapperType, N > BlockMapperType;
 
      // in the most general case we will unroll all local blockings
      typedef typename DiscreteFunctionSpace::LocalBlockIndices LocalBlockIndices;
 
      // type functionspace
      typedef typename BasisFunctionSetType::FunctionSpaceType FunctionSpaceType;
 
      // review to make it work for all kind of combinations
      template< class DiscreteFunction,
                class Operation
                  = typename DiscreteFunctionSpace::template CommDataHandle< DiscreteFunctionSpace >::OperationType >
      struct CommDataHandle
      {
        typedef typename DiscreteFunctionSpace::
        template CommDataHandle< DiscreteFunction, Operation >::Type Type;
        typedef typename DiscreteFunctionSpace::
        template CommDataHandle< DiscreteFunction, Operation >::OperationType OperationType;
      };
 
      // construct new instance of blockMapper
      static BlockMapperType *getBlockMapper ( const DiscreteFunctionSpaceTupleType &spaceTuple )
      {
        return new BlockMapperType( spaceTuple->gridPart(), spaceTuple->blockMapper() );
      }
 
      // create Tuple of contained subspaces
      static DiscreteFunctionSpaceTupleType createSpaces ( GridPartType &gridPart, InterfaceType commInterface,
                                                           CommunicationDirection commDirection )
      {
        return std::make_shared< DiscreteFunctionSpace >( gridPart, commInterface, commDirection );
      }
 
      template< class Entity >
      static BasisFunctionSetType getBasisFunctionSet ( const Entity &entity, const DiscreteFunctionSpaceTupleType &tuple )
      {
        return BasisFunctionSetType( tuple->basisFunctionSet( entity ) );
      }
 
      template< class T, class F >
      static T accumulate ( const DiscreteFunctionSpaceTupleType &tuple, T value, F &&f )
      {
        return f( value, *tuple );
      }
    };
 
 
 
    template< class DiscreteFunctionSpace, int N >
    class PowerDiscreteFunctionSpace
      : public GenericCombinedDiscreteFunctionSpace< PowerDiscreteFunctionSpaceTraits< DiscreteFunctionSpace, N > >,
        public CombinedSpaceHelper::LagrangePointSetExporter< DiscreteFunctionSpace >
    {
      typedef PowerDiscreteFunctionSpace< DiscreteFunctionSpace, N > ThisType;
      typedef GenericCombinedDiscreteFunctionSpace< PowerDiscreteFunctionSpaceTraits< DiscreteFunctionSpace, N > > BaseType;
      typedef CombinedSpaceHelper::LagrangePointSetExporter< DiscreteFunctionSpace > LagrangePointSetExporterType;
 
    public:
      typedef PowerDiscreteFunctionSpaceTraits< DiscreteFunctionSpace, N > Traits;
      typedef typename Traits::GridPartType GridPartType;
 
      typedef DiscreteFunctionSpace ContainedDiscreteFunctionSpaceType;
 
      typedef PowerSpaceInterpolation< ThisType, N > InterpolationType;
 
      typedef typename Traits::EntityType EntityType;
 
      PowerDiscreteFunctionSpace ( GridPartType &gridPart,
                                   const InterfaceType commInterface = InteriorBorder_All_Interface,
                                   const CommunicationDirection commDirection = ForwardCommunication )
        : BaseType( gridPart, commInterface, commDirection ),
          LagrangePointSetExporterType( containedSpace() )
      {}
 
      PowerDiscreteFunctionSpace ( const DiscreteFunctionSpace &space )
        : BaseType( referenceToSharedPtr( space ) )
      {}
 
      PowerDiscreteFunctionSpace ( std::shared_ptr< DiscreteFunctionSpace > space )
        : BaseType( std::move( space ) )
      {}
 
      PowerDiscreteFunctionSpace ( const ThisType & ) = delete;
      ThisType &operator= ( const ThisType & ) = delete;
 
      const ContainedDiscreteFunctionSpaceType &containedSpace () const
      {
        return BaseType::template subDiscreteFunctionSpace< 0 >();
      }
 
      InterpolationType interpolation ( const EntityType &entity ) const
      {
        return InterpolationType( *this, entity );
      }
    };
 
 
    template< class DiscreteFunctionSpace, int N, class NewFunctionSpace >
    struct DifferentDiscreteFunctionSpace< PowerDiscreteFunctionSpace< DiscreteFunctionSpace, N >, NewFunctionSpace >
    {
      typedef PowerDiscreteFunctionSpace< DiscreteFunctionSpace, NewFunctionSpace::dimRange > Type;
    };
 
 
    // DefaultLocalRestrictProlong
    // ---------------------------
 
    template< class DiscreteFunctionSpace, int N >
    class DefaultLocalRestrictProlong< PowerDiscreteFunctionSpace< DiscreteFunctionSpace, N > >
      : public PowerLocalRestrictProlong< DiscreteFunctionSpace, N >
    {
      typedef DefaultLocalRestrictProlong< PowerDiscreteFunctionSpace< DiscreteFunctionSpace, N > > ThisType;
      typedef PowerDiscreteFunctionSpace< DiscreteFunctionSpace, N > DiscreteFunctionSpacesType;
      typedef PowerLocalRestrictProlong< DiscreteFunctionSpace, N > BaseType;
 
    public:
      DefaultLocalRestrictProlong ( const DiscreteFunctionSpacesType &space )
        : BaseType( space.containedSpace() )
      {}
 
    };
 
  } // namespace Fem
 
} // namespace Dune
 
#endif // #ifndef DUNE_FEM_SPACE_COMBINEDSPACE_POWERSPACE_HH