hierarchicsearch.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_GRID_HIERARCHICSEARCH_HH
#define DUNE_GRID_HIERARCHICSEARCH_HH
 
#include <cstddef>
#include <sstream>
#include <string>
#include <utility>
 
#include <dune/common/classname.hh>
#include <dune/common/exceptions.hh>
#include <dune/common/fvector.hh>
 
#include <dune/grid/common/grid.hh>
#include <dune/grid/common/gridenums.hh>
 
namespace Dune
{
 
  template<class Grid, class IS>
  class HierarchicSearch
  {
    enum {dim=Grid::dimension};
 
    enum {dimw=Grid::dimensionworld};
 
    typedef typename Grid::ctype ct;
 
    typedef typename Grid::template Codim<0>::Entity Entity;
 
    typedef typename Grid::HierarchicIterator HierarchicIterator;
 
    static std::string formatEntityInformation ( const Entity &e ) {
      const typename Entity::Geometry &geo = e.geometry();
      std::ostringstream info;
      info << "level=" << e.level() << " "
           << "partition=" << e.partitionType() << " "
           << "center=(" << geo.center() << ") "
           << "corners=[(" << geo.corner(0) << ")";
      for(int i = 1; i < geo.corners(); ++i)
        info << " (" << e.geometry().corner(i) << ")";
      info << "]";
      return info.str();
    }
 
    Entity hFindEntity ( const Entity &entity,
                         const FieldVector<ct,dimw>& global) const
    {
      // type of element geometry
      typedef typename Entity::Geometry Geometry;
      // type of local coordinate
      typedef typename Geometry::LocalCoordinate LocalCoordinate;
 
      const int childLevel = entity.level()+1 ;
      // loop over all child Entities
      const HierarchicIterator end = entity.hend( childLevel );
      for( HierarchicIterator it = entity.hbegin( childLevel ); it != end; ++it )
      {
        Entity child = *it;
        Geometry geo = child.geometry();
 
        LocalCoordinate local = geo.local(global);
        if (referenceElement( geo ).checkInside(local))
        {
          // return if we found the leaf, else search through the child entites
          if( indexSet_.contains( child ) )
            return child;
          else
            return hFindEntity( child, global );
        }
      }
      std::ostringstream children;
      HierarchicIterator it = entity.hbegin( childLevel );
      if(it != end) {
        children << "{" << formatEntityInformation(*it) << "}";
        for( ++it; it != end; ++it )
          children << " {" << formatEntityInformation(*it) << "}";
      }
      DUNE_THROW(Exception, "{" << className(*this) << "} Unexpected "
                 "internal Error: none of the children of the entity "
                 "{" << formatEntityInformation(entity) << "} contains "
                 "coordinate (" << global << ").  Children are: "
                 "[" << children.str() << "].");
    }
 
  public:
    HierarchicSearch(const Grid & g, const IS & is) : grid_(g), indexSet_(is) {}
 
    Entity findEntity(const FieldVector<ct,dimw>& global) const
    { return findEntity<All_Partition>(global); }
 
    template<PartitionIteratorType partition>
    Entity findEntity(const FieldVector<ct,dimw>& global) const
    {
      typedef typename Grid::LevelGridView LevelGV;
      const LevelGV &gv = grid_.levelGridView(0);
 
      typedef typename LevelGV::template Codim<0>::template Partition<partition>::Iterator LevelIterator;
 
      // type of element geometry
      typedef typename Entity::Geometry Geometry;
      // type of local coordinate
      typedef typename Geometry::LocalCoordinate LocalCoordinate;
 
      // loop over macro level
      const LevelIterator end = gv.template end<0, partition>();
      for (LevelIterator it = gv.template begin<0, partition>(); it != end; ++it)
      {
        Entity entity = *it;
        Geometry geo = entity.geometry();
 
        LocalCoordinate local = geo.local( global );
        if( !referenceElement( geo ).checkInside( local ) )
          continue;
 
        if( (int(dim) != int(dimw)) && ((geo.global( local ) - global).two_norm() > 1e-8) )
          continue;
 
        // return if we found the leaf, else search through the child entites
        if( indexSet_.contains( entity ) )
          return entity;
        else
          return hFindEntity( entity, global );
      }
      DUNE_THROW( GridError, "Coordinate " << global << " is outside the grid." );
    }
 
  private:
    const Grid& grid_;
    const IS&   indexSet_;
  };
 
} // end namespace Dune
 
#endif // DUNE_GRID_HIERARCHICSEARCH_HH