localfunctionspace.hh

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// -*- tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*-
// vi: set et ts=4 sw=2 sts=2:
#ifndef DUNE_PDELAB_GRIDFUNCTIONSPACE_LOCALFUNCTIONSPACE_HH
#define DUNE_PDELAB_GRIDFUNCTIONSPACE_LOCALFUNCTIONSPACE_HH
 
#include <vector>
#include <memory>
 
#include <dune/common/stdstreams.hh>
#include <dune/common/shared_ptr.hh>
 
#include <dune/geometry/referenceelements.hh>
 
#include <dune/localfunctions/common/interfaceswitch.hh>
#include <dune/localfunctions/common/localkey.hh>
 
#include <dune/typetree/typetree.hh>
 
#include <dune/pdelab/gridfunctionspace/tags.hh>
#include <dune/pdelab/gridfunctionspace/localvector.hh>
 
namespace Dune {
  namespace PDELab {
 
 
    //=======================================
    // local function space base: metaprograms
    //=======================================
 
    namespace {
 
      // the bogus template parameter is necessary to make GCC honor the friend declaration
      // in the LocalFunctionSpace (probably a GCC bug)
      template<typename = int>
      struct PropagateGlobalStorageVisitor
        : public TypeTree::TreeVisitor
        , public TypeTree::DynamicTraversal
      {
 
        template<typename LFS, typename Child, typename TreePath, typename ChildIndex>
        void beforeChild(const LFS& lfs, Child& child, TreePath treePath, ChildIndex childIndex) const
        {
          child._dof_indices = lfs._dof_indices;
        }
      };
 
      // This visitor is not used in standard PDELab code, but is necessary for MultiDomain
      // It is defined here due to the necessary friend declarations in the local function spaces.
      // for template parameter see above
      template<typename = int>
      struct ClearSizeVisitor
        : public TypeTree::TreeVisitor
        , public TypeTree::DynamicTraversal
      {
 
        template<typename Node, typename TreePath>
        void pre(Node& node, TreePath treePath)
        {
          leaf(node,treePath);
        }
 
        template<typename Node, typename TreePath>
        void leaf(Node& node, TreePath treePath)
        {
          node.offset = offset;
          node.n = 0;
        }
 
        ClearSizeVisitor(std::size_t offset_)
          : offset(offset_)
        {}
 
        const std::size_t offset;
 
      };
 
 
      template<typename Entity, bool fast>
      struct ComputeSizeVisitor
        : public TypeTree::TreeVisitor
        , public TypeTree::DynamicTraversal
      {
 
        template<typename Node, typename TreePath>
        void pre(Node& node, TreePath treePath)
        {
          node.offset = offset;
        }
 
        template<typename Node, typename TreePath>
        void post(Node& node, TreePath treePath)
        {
          node.n = offset - node.offset;
        }
 
        template<typename Node, typename TreePath>
        void leaf(Node& node, TreePath treePath)
        {
          node.offset = offset;
          node.unbindFiniteElement();
          node._in_entity_set = node.pgfs->entitySet().contains(e);
          if (not node._in_entity_set) {
            node.n = 0;
          } else if (fast) {
            node.n = node.pgfs->finiteElementMap().maxLocalSize();
            node.bindFiniteElement(node.pgfs->finiteElementMap().find(e));
          } else {
            node.bindFiniteElement(node.pgfs->finiteElementMap().find(e));
            node.n = Node::FESwitch::basis(node.finiteElement()).size();
          }
          offset += node.n;
        }
 
        ComputeSizeVisitor(const Entity& entity, std::size_t offset_ = 0)
          : e(entity)
          , offset(offset_)
        {}
 
        const Entity& e;
        std::size_t offset;
 
      };
 
 
      template<typename Entity, bool fast>
      struct FillIndicesVisitor
        : public TypeTree::TreeVisitor
        , public TypeTree::DynamicTraversal
      {
 
        template<typename Node, typename TreePath>
        void leaf(Node& node, TreePath treePath)
        {
          // setup DOFIndices for this finite element
          node.dofIndices(e,node._dof_indices->begin()+node.offset,node._dof_indices->begin()+node.offset+node.n,std::integral_constant<bool,fast>{});
        }
 
        template<typename Node, typename Child, typename TreePath, typename ChildIndex>
        void afterChild(const Node& node, const Child& child, TreePath treePath, ChildIndex childIndex)
        {
          // Just skip the entire function space structure handling in fast mode
          // This **really** breaks any attempt at using the DOFIndex for anything other
          // than as input to the FastDGGridOperator machine.
          // You have been warned!
          if (not fast)
            for (std::size_t i = 0; i<child.n; ++i)
              {
                // update tree path for the DOFIndices of the child
                (*node._dof_indices)[child.offset+i].treeIndex().push_back(childIndex);
              }
        }
 
        FillIndicesVisitor(const Entity& entity)
          : e(entity)
        {}
 
        const Entity& e;
      };
 
    } // end empty namespace
 
    //=======================================
    // local function space base: base class
    //=======================================
 
    template<typename GFS, typename DI>
    struct LocalFunctionSpaceBaseTraits
    {
      typedef GFS GridFunctionSpaceType;
 
      typedef GFS GridFunctionSpace;
 
      typedef typename GFS::Traits::SizeType SizeType;
 
      typedef typename std::vector<SizeType> IndexContainer;
 
      typedef DI DOFIndex;
 
      typedef typename std::vector<DI> DOFIndexContainer;
 
    };
 
    template <typename GFS, typename DOFIndex>
    class LocalFunctionSpaceBaseNode
    {
      typedef typename GFS::Traits::Backend B;
 
      template<typename>
      friend struct PropagateGlobalStorageVisitor;
 
      template<typename,bool>
      friend struct ComputeSizeVisitor;
 
      template<typename,bool>
      friend struct FillIndicesVisitor;
 
      template<typename LFS, typename C, typename Tag, bool>
      friend class LFSIndexCacheBase;
 
    public:
      typedef LocalFunctionSpaceBaseTraits<GFS,DOFIndex> Traits;
 
      LocalFunctionSpaceBaseNode (std::shared_ptr<const GFS> gfs)
        : pgfs(gfs)
        , _dof_index_storage()
        , _dof_indices(&_dof_index_storage)
        , n(0)
      {}
 
      typename Traits::IndexContainer::size_type size () const
      {
        return n;
      }
 
      std::size_t subSpaceDepth() const
      {
        return 0;
      }
 
      typename Traits::IndexContainer::size_type maxSize () const
      {
        // _dof_indices is always as large as the max local size of the root GFS
        return _dof_indices->size();
      }
 
 
      typename Traits::IndexContainer::size_type localVectorSize () const
      {
        return _dof_indices->size();
      }
 
      typename Traits::IndexContainer::size_type localIndex (typename Traits::IndexContainer::size_type index) const
      {
        return offset+index;
      }
 
 
      const typename Traits::DOFIndex& dofIndex(typename Traits::IndexContainer::size_type index) const
      {
        return (*_dof_indices)[offset + index];
      }
 
      void debug () const
      {
        std::cout << n << " indices = (";
        for (typename Traits::IndexContainer::size_type k=0; k<n; k++)
          std::cout << (*_dof_indices)[localIndex(k)] << " ";
        std::cout << ")" << std::endl;
      }
 
      const GFS& gridFunctionSpace() const
      {
        return *pgfs;
      }
 
    public:
      template<typename NodeType>
      void setup(NodeType& node)
      {
        _dof_index_storage.resize(gridFunctionSpace().ordering().maxLocalSize());
        TypeTree::applyToTree(node,PropagateGlobalStorageVisitor<>());
      }
 
      std::shared_ptr<GFS const> pgfs;
      typename Traits::DOFIndexContainer _dof_index_storage;
      typename Traits::DOFIndexContainer* _dof_indices;
      typename Traits::IndexContainer::size_type n;
      typename Traits::IndexContainer::size_type offset;
    };
 
    template<typename GFS, typename DOFIndex>
    struct GridViewLocalFunctionSpaceBaseTraits : public LocalFunctionSpaceBaseTraits<GFS,DOFIndex>
    {
      typedef typename GFS::Traits::GridViewType GridViewType;
 
      typedef typename GFS::Traits::GridViewType GridView;
 
      using EntitySet = typename GFS::Traits::EntitySet;
 
      using Element = typename EntitySet::Element;
    };
 
    template <typename GFS, typename DOFIndex>
    class GridViewLocalFunctionSpaceBaseNode :
      public LocalFunctionSpaceBaseNode<GFS,DOFIndex>
    {
      typedef typename GFS::Traits::Backend B;
      typedef LocalFunctionSpaceBaseNode<GFS,DOFIndex> BaseT;
 
    public:
      typedef GridViewLocalFunctionSpaceBaseTraits<GFS,DOFIndex> Traits;
 
      GridViewLocalFunctionSpaceBaseNode (std::shared_ptr<const GFS> gfs)
        : BaseT(gfs)
      {}
 
    protected:
 
      template<typename NodeType, bool fast = false>
      void bind (NodeType& node, const typename Traits::Element& e, std::integral_constant<bool,fast> = std::integral_constant<bool,fast>{});
    };
 
    template <typename GFS, typename DOFIndex>
    template <typename NodeType, bool fast>
    void GridViewLocalFunctionSpaceBaseNode<GFS,DOFIndex>::bind (NodeType& node,
                                                                 const typename GridViewLocalFunctionSpaceBaseNode<GFS,DOFIndex>::Traits::Element& e,
                                                                 std::integral_constant<bool,fast>)
    {
      typedef typename GridViewLocalFunctionSpaceBaseNode<GFS,DOFIndex>::Traits::Element Element;
      assert(&node == this);
 
      // compute sizes
      ComputeSizeVisitor<Element,fast> csv(e);
      TypeTree::applyToTree(node,csv);
 
 
      // initialize iterators and fill indices
      FillIndicesVisitor<Element,fast> fiv(e);
      TypeTree::applyToTree(node,fiv);
    }
 
    //=======================================
    // local function space base: power implementation
    //=======================================
 
    template<typename GFS, typename DOFIndex, typename N>
    struct PowerCompositeLocalFunctionSpaceTraits : public GridViewLocalFunctionSpaceBaseTraits<GFS,DOFIndex>
    {
      typedef N NodeType;
    };
 
    // local function space for a power grid function space
    template<typename GFS, typename DOFIndex, typename ChildLFS, std::size_t k>
    class PowerLocalFunctionSpaceNode :
      public GridViewLocalFunctionSpaceBaseNode<GFS,DOFIndex>,
      public TypeTree::PowerNode<ChildLFS,k>
    {
      typedef GridViewLocalFunctionSpaceBaseNode<GFS,DOFIndex> BaseT;
      typedef TypeTree::PowerNode<ChildLFS,k> TreeNode;
 
      template<typename>
      friend struct PropagateGlobalStorageVisitor;
 
      template<typename>
      friend struct ClearSizeVisitor;
 
      template<typename,bool>
      friend struct ComputeSizeVisitor;
 
      template<typename,bool>
      friend struct FillIndicesVisitor;
 
    public:
      typedef PowerCompositeLocalFunctionSpaceTraits<GFS,DOFIndex,PowerLocalFunctionSpaceNode> Traits;
 
      typedef PowerLocalFunctionSpaceTag ImplementationTag;
 
      template<typename Transformation>
      PowerLocalFunctionSpaceNode (std::shared_ptr<const GFS> gfs,
                                   const Transformation& t,
                                   const std::array<std::shared_ptr<ChildLFS>,k>& children)
        : BaseT(gfs)
        , TreeNode(children)
      {}
 
      template<typename Transformation>
      PowerLocalFunctionSpaceNode (const GFS& gfs,
                                   const Transformation& t,
                                   const std::array<std::shared_ptr<ChildLFS>,k>& children)
        : BaseT(stackobject_to_shared_ptr(gfs))
        , TreeNode(children)
      {}
 
      template<bool fast = false>
      void bind (const typename Traits::Element& e, std::integral_constant<bool,fast> fast_ = std::integral_constant<bool,fast>{})
      {
        // call method on base class, this avoid the barton neckman trick
        BaseT::bind(*this,e,fast_);
      }
 
    };
 
 
    // transformation template, we need a custom template in order to inject the DOFIndex type into the LocalFunctionSpace
    template<typename SourceNode, typename Transformation>
    struct power_gfs_to_lfs_template
    {
      template<typename TC>
      struct result
      {
        typedef PowerLocalFunctionSpaceNode<SourceNode,typename Transformation::DOFIndex,TC,TypeTree::StaticDegree<SourceNode>::value> type;
      };
    };
 
    // register PowerGFS -> LocalFunctionSpace transformation
    template<typename PowerGridFunctionSpace, typename Params>
    TypeTree::TemplatizedGenericPowerNodeTransformation<
      PowerGridFunctionSpace,
      gfs_to_lfs<Params>,
      power_gfs_to_lfs_template<PowerGridFunctionSpace,gfs_to_lfs<Params> >::template result
      >
    registerNodeTransformation(PowerGridFunctionSpace* pgfs, gfs_to_lfs<Params>* t, PowerGridFunctionSpaceTag* tag);
 
 
    //=======================================
    // local function space base: composite implementation
    //=======================================
 
    // local function space for a power grid function space
    template<typename GFS, typename DOFIndex, typename... Children>
    class CompositeLocalFunctionSpaceNode
      : public GridViewLocalFunctionSpaceBaseNode<GFS,DOFIndex>
      , public TypeTree::CompositeNode<Children...>
    {
      typedef GridViewLocalFunctionSpaceBaseNode<GFS,DOFIndex> BaseT;
      typedef TypeTree::CompositeNode<Children...> NodeType;
 
      template<typename>
      friend struct PropagateGlobalStorageVisitor;
 
      template<typename>
      friend struct ClearSizeVisitor;
 
      template<typename,bool>
      friend struct ComputeSizeVisitor;
 
      template<typename,bool>
      friend struct FillIndicesVisitor;
 
    public:
      typedef PowerCompositeLocalFunctionSpaceTraits<GFS,DOFIndex,CompositeLocalFunctionSpaceNode> Traits;
 
      typedef CompositeLocalFunctionSpaceTag ImplementationTag;
 
      template<typename Transformation>
      CompositeLocalFunctionSpaceNode (std::shared_ptr<const GFS> gfs,
                                       const Transformation& t,
                                       std::shared_ptr<Children>... children)
        : BaseT(gfs)
        , NodeType(children...)
      {}
 
      template<typename Transformation>
      CompositeLocalFunctionSpaceNode (const GFS& gfs,
                                       const Transformation& t,
                                       std::shared_ptr<Children>... children)
        : BaseT(stackobject_to_shared_ptr(gfs))
        , NodeType(children...)
      {}
 
      template<bool fast = false>
      void bind (const typename Traits::Element& e, std::integral_constant<bool,fast> fast_ = std::integral_constant<bool,fast>{})
      {
        // call method on base class, this avoid the barton neckman trick
        BaseT::bind(*this,e,fast_);
      }
 
    };
 
    // transformation template, we need a custom template in order to inject the MultiIndex type into the LocalFunctionSpace
    template<typename SourceNode, typename Transformation>
    struct composite_gfs_to_lfs_template
    {
      template<typename... TC>
      struct result
      {
        typedef CompositeLocalFunctionSpaceNode<SourceNode,typename Transformation::DOFIndex,TC...> type;
      };
    };
 
    // register CompositeGFS -> LocalFunctionSpace transformation (variadic version)
    template<typename CompositeGridFunctionSpace, typename Params>
    TypeTree::TemplatizedGenericCompositeNodeTransformation<
      CompositeGridFunctionSpace,
      gfs_to_lfs<Params>,
      composite_gfs_to_lfs_template<CompositeGridFunctionSpace,gfs_to_lfs<Params> >::template result
      >
    registerNodeTransformation(CompositeGridFunctionSpace* cgfs, gfs_to_lfs<Params>* t, CompositeGridFunctionSpaceTag* tag);
 
 
    //=======================================
    // local function space base: single component implementation
    //=======================================
 
    template<typename GFS, typename DOFIndex, typename N>
    struct LeafLocalFunctionSpaceTraits : public PowerCompositeLocalFunctionSpaceTraits<GFS,DOFIndex,N>
    {
      typedef typename GFS::Traits::FiniteElementType FiniteElementType;
 
      typedef typename GFS::Traits::FiniteElementType FiniteElement;
 
      typedef typename GFS::Traits::ConstraintsType ConstraintsType;
 
      typedef typename GFS::Traits::ConstraintsType Constraints;
 
    };
 
    template<typename GFS, typename DOFIndex>
    class LeafLocalFunctionSpaceNode
      : public GridViewLocalFunctionSpaceBaseNode<GFS,DOFIndex>
      , public TypeTree::LeafNode
    {
      typedef GridViewLocalFunctionSpaceBaseNode<GFS,DOFIndex> BaseT;
 
      template<typename>
      friend struct PropagateGlobalStorageVisitor;
 
      template<typename>
      friend struct ClearSizeVisitor;
 
      template<typename,bool>
      friend struct ComputeSizeVisitor;
 
      template<typename,bool>
      friend struct FillIndicesVisitor;
 
    public:
      typedef LeafLocalFunctionSpaceTraits<GFS,DOFIndex,LeafLocalFunctionSpaceNode> Traits;
 
      typedef LeafLocalFunctionSpaceTag ImplementationTag;
 
    private:
      typedef FiniteElementInterfaceSwitch<
      typename Traits::FiniteElementType
      > FESwitch;
 
    public:
 
      template<typename Transformation>
      LeafLocalFunctionSpaceNode (std::shared_ptr<const GFS> gfs, const Transformation& t)
        : BaseT(gfs)
      {
      }
 
      template<typename Transformation>
      LeafLocalFunctionSpaceNode (const GFS& gfs, const Transformation& t)
        : BaseT(stackobject_to_shared_ptr(gfs))
      {
      }
 
      const typename Traits::FiniteElementType& finiteElement () const
      {
        assert((_in_entity_set && pfe) &&
               "Local function spaces outside their entity set should not "
               "request `finiteElement()`. To check if function has support "
               "use: `size()!= 0`");
        assert(pfe);
        return *pfe;
      }
 
      const typename Traits::ConstraintsType& constraints () const
      {
        return this->pgfs->constraints();
      }
 
      template<typename Entity, typename DOFIndexIterator, bool fast>
      void dofIndices(const Entity& e, DOFIndexIterator it, DOFIndexIterator endit, std::integral_constant<bool,fast>)
      {
        using EntitySet = typename GFS::Traits::EntitySet;
        auto es = this->gridFunctionSpace().entitySet();
 
        if (not es.contains(e))
          return;
        else if (fast) {
          auto gt = e.type();
          auto index = es.indexSet().index(e);
          GFS::Ordering::Traits::DOFIndexAccessor::store(*it, gt, index, 0);
          ++it;
        } else {
          // get layout of entity
          const typename FESwitch::Coefficients &coeffs =
              FESwitch::coefficients(*pfe);
 
          auto refEl =
              Dune::ReferenceElements<double, EntitySet::dimension>::general(
                  this->pfe->type());
 
          for (std::size_t i = 0; i < std::size_t(coeffs.size()); ++i, ++it) {
            // get geometry type of subentity
            auto gt = refEl.type(coeffs.localKey(i).subEntity(),
                                 coeffs.localKey(i).codim());
 
            // evaluate consecutive index of subentity
            auto index = es.indexSet().subIndex(
                e, coeffs.localKey(i).subEntity(), coeffs.localKey(i).codim());
 
            // store data
            GFS::Ordering::Traits::DOFIndexAccessor::store(
                *it, gt, index, coeffs.localKey(i).index());
 
            // make sure we don't write past the end of the iterator range
            assert(it != endit);
          }
        }
      }
 
 
      template<typename GC, typename LC>
      void insert_constraints (const LC& lc, GC& gc) const
      {
        // LC and GC are maps of maps
        typedef typename LC::const_iterator local_col_iterator;
        typedef typename LC::value_type::second_type::const_iterator local_row_iterator;
        typedef typename GC::iterator global_col_iterator;
        typedef typename GC::value_type::second_type global_row_type;
 
        for (local_col_iterator cit=lc.begin(); cit!=lc.end(); ++cit)
          {
 
            // look up entry in global map, if not found, insert an empty one.
            global_col_iterator gcit = gc.insert(std::make_pair(std::ref(this->dofIndex(cit->first)),global_row_type())).first;
 
            // copy row to global container with transformed indices
            for (local_row_iterator rit=(cit->second).begin(); rit!=(cit->second).end(); ++rit)
              gcit->second[this->dofIndex(rit->first)] = rit->second;
          }
      }
 
      template<bool fast = false>
      void bind (const typename Traits::Element& e, std::integral_constant<bool,fast> fast_ = std::integral_constant<bool,fast>{})
      {
        // call method on base class, this avoid the barton neckman trick
        BaseT::bind(*this,e,fast_);
      }
 
      template<class FE>
      void bindFiniteElement(FE&& fe) {
        static_assert(std::is_same_v<std::decay_t<FE>, typename Traits::FiniteElementType>);
        if constexpr (std::is_rvalue_reference_v<FE&&>) {
          static_assert(std::is_move_constructible_v<FE>);
          static_assert(std::is_move_assignable_v<FE>);
          if (spe)
            (*spe) = std::move(fe);
          else
            spe = std::make_shared<typename Traits::FiniteElementType>(std::move(fe));
          pfe = spe.get();
        } else {
          pfe = &fe;
        }
      }
 
      void unbindFiniteElement() noexcept {
        pfe = nullptr;
      }
 
    private:
      const typename Traits::FiniteElementType * pfe;
      std::shared_ptr<typename Traits::FiniteElementType> spe;
      bool _in_entity_set;
    };
 
    // Register LeafGFS -> LocalFunctionSpace transformation
    template<typename GridFunctionSpace, typename Params>
    TypeTree::GenericLeafNodeTransformation<
      GridFunctionSpace,
      gfs_to_lfs<Params>,
      LeafLocalFunctionSpaceNode<GridFunctionSpace,typename gfs_to_lfs<Params>::DOFIndex>
      >
    registerNodeTransformation(GridFunctionSpace* gfs, gfs_to_lfs<Params>* t, LeafGridFunctionSpaceTag* tag);
 
    //=======================================
    // local function facade
    //=======================================
 
    template <typename GFS, typename TAG=AnySpaceTag>
    class LocalFunctionSpace;
 
    template <typename GFS, typename TAG>
    class LocalFunctionSpace :
      public TypeTree::TransformTree<GFS,gfs_to_lfs<GFS> >::Type
    {
      typedef typename TypeTree::TransformTree<GFS,gfs_to_lfs<GFS> >::Type BaseT;
      typedef typename BaseT::Traits::IndexContainer::size_type I;
      typedef typename BaseT::Traits::IndexContainer::size_type LocalIndex;
 
      template<typename>
      friend struct PropagateGlobalStorageVisitor;
 
      template<typename>
      friend struct ClearSizeVisitor;
 
      template<typename>
      friend struct ComputeSizeVisitor;
 
      template<typename>
      friend struct FillIndicesVisitor;
 
    public:
      typedef typename BaseT::Traits Traits;
 
      LocalFunctionSpace(const GFS & gfs)
        : BaseT(TypeTree::TransformTree<GFS,gfs_to_lfs<GFS> >::transform(gfs))
      {
        this->setup(*this);
      }
 
      LocalFunctionSpace(const LocalFunctionSpace & lfs)
        : BaseT(lfs)
      {
        // We need to reset the DOFIndex storage pointers in the new LFS tree,
        // as they are still pointing to the _dof_index_storage of the
        // old tree.
        this->_dof_indices = &(this->_dof_index_storage);
        this->setup(*this);
      }
 
      LocalIndex localIndex (typename Traits::IndexContainer::size_type index) const
      {
        return LocalIndex(BaseT::localIndex(index));
      }
 
    private:
      // we don't support getChild yet, so let's hide it!
      template<int i>
      void getChild () const;
      template<int i>
      void child () const;
    };
 
    // specialization for AnySpaceTag
    // WARNING: If you modify this class, make sure to also fix the specialization in
    // subspacelocalfunctionspace.hh!
    template <typename GFS>
    class LocalFunctionSpace<GFS, AnySpaceTag> :
      public TypeTree::TransformTree<GFS,gfs_to_lfs<GFS> >::Type
    {
      typedef typename TypeTree::TransformTree<GFS,gfs_to_lfs<GFS> >::Type BaseT;
 
      template<typename>
      friend struct PropagateGlobalStorageVisitor;
 
      template<typename>
      friend struct ClearSizeVisitor;
 
      template<typename,bool>
      friend struct ComputeSizeVisitor;
 
      template<typename,bool>
      friend struct FillIndicesVisitor;
 
    public:
 
      LocalFunctionSpace(const GFS & gfs)
        : BaseT(TypeTree::TransformTree<GFS,gfs_to_lfs<GFS> >::transform(gfs))
      {
        this->_dof_indices = &(this->_dof_index_storage);
        this->setup(*this);
      }
 
      LocalFunctionSpace(std::shared_ptr<const GFS> pgfs)
        : BaseT(*TypeTree::TransformTree<GFS,gfs_to_lfs<GFS> >::transform_storage(pgfs))
      {
        this->_dof_indices = &(this->_dof_index_storage);
        this->setup(*this);
      }
 
      LocalFunctionSpace(const LocalFunctionSpace & lfs)
        : BaseT(lfs)
      {
        // We need to reset the DOFIndex storage pointers in the new LFS tree,
        // as they are still pointing to the _dof_index_storage of the
        // old tree.
        this->_dof_indices = &(this->_dof_index_storage);
        this->setup(*this);
      }
 
    };
 
  } // namespace PDELab
} // namespace Dune
 
#endif // DUNE_PDELAB_GRIDFUNCTIONSPACE_LOCALFUNCTIONSPACE_HH