albertagrid/gridfactory.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_ALBERTA_GRIDFACTORY_HH
#define DUNE_ALBERTA_GRIDFACTORY_HH
 
#include <algorithm>
#include <array>
#include <limits>
#include <map>
#include <memory>
 
#include <dune/geometry/referenceelements.hh>
 
#include <dune/grid/common/gridfactory.hh>
 
#include <dune/grid/albertagrid/agrid.hh>
 
#if HAVE_ALBERTA
 
namespace Dune
{
 
  template< int dim, int dimworld >
  class GridFactory< AlbertaGrid< dim, dimworld > >
    : public GridFactoryInterface< AlbertaGrid< dim, dimworld > >
  {
    typedef GridFactory< AlbertaGrid< dim, dimworld > > This;
 
  public:
    typedef AlbertaGrid< dim, dimworld > Grid;
 
    typedef typename Grid::ctype ctype;
 
    static const int dimension = Grid::dimension;
    static const int dimensionworld = Grid::dimensionworld;
 
    typedef FieldVector< ctype, dimensionworld > WorldVector;
    typedef FieldMatrix< ctype, dimensionworld, dimensionworld > WorldMatrix;
 
    typedef DuneBoundaryProjection< dimensionworld > DuneProjection;
    typedef std::shared_ptr< const DuneProjection > DuneProjectionPtr;
    typedef Dune::BoundarySegment< dimension, dimensionworld > BoundarySegment;
 
    template< int codim >
    struct Codim
    {
      typedef typename Grid::template Codim< codim >::Entity Entity;
    };
 
  private:
    typedef Dune::BoundarySegmentWrapper< dimension, dimensionworld > BoundarySegmentWrapper;
 
    static const int numVertices
      = Alberta::NumSubEntities< dimension, dimension >::value;
 
    typedef Alberta::MacroElement< dimension > MacroElement;
    typedef Alberta::ElementInfo< dimension > ElementInfo;
    typedef Alberta::MacroData< dimension > MacroData;
    typedef Alberta::NumberingMap< dimension, Alberta::Dune2AlbertaNumbering > NumberingMap;
    typedef Alberta::DuneBoundaryProjection< dimension > Projection;
 
    typedef std::array< unsigned int, dimension > FaceId;
    typedef std::map< FaceId, size_t > BoundaryMap;
 
    class ProjectionFactory;
 
  public:
    static const bool supportsBoundaryIds = true;
    static const bool supportPeriodicity = MacroData::supportPeriodicity;
 
    GridFactory ()
      : globalProjection_( (const DuneProjection *) 0 )
    {
      macroData_.create();
    }
 
    virtual ~GridFactory ();
 
    virtual void insertVertex ( const WorldVector &pos )
    {
      macroData_.insertVertex( pos );
    }
 
    virtual void insertElement ( const GeometryType &type,
                                 const std::vector< unsigned int > &vertices )
    {
      if( (int)type.dim() != dimension )
        DUNE_THROW( AlbertaError, "Inserting element of wrong dimension: " << type.dim() );
      if( !type.isSimplex() )
        DUNE_THROW( AlbertaError, "Alberta supports only simplices." );
 
      if( vertices.size() != (size_t)numVertices )
        DUNE_THROW( AlbertaError, "Wrong number of vertices passed: " << vertices.size() << "." );
 
      int array[ numVertices ];
      for( int i = 0; i < numVertices; ++i )
        array[ i ] = vertices[ numberingMap_.alberta2dune( dimension, i ) ];
      macroData_.insertElement( array );
    }
 
    virtual void insertBoundary ( int element, int face, int id )
    {
      if( (id <= 0) || (id > 127) )
        DUNE_THROW( AlbertaError, "Invalid boundary id: " << id << "." );
      macroData_.boundaryId( element, numberingMap_.dune2alberta( 1, face ) ) = id;
    }
 
    virtual void
    insertBoundaryProjection ( const GeometryType &type,
                               const std::vector< unsigned int > &vertices,
                               const DuneProjection *projection )
    {
      if( (int)type.dim() != dimension-1 )
        DUNE_THROW( AlbertaError, "Inserting boundary face of wrong dimension: " << type.dim() );
      if( !type.isSimplex() )
        DUNE_THROW( AlbertaError, "Alberta supports only simplices." );
 
      FaceId faceId;
      if( vertices.size() != faceId.size() )
        DUNE_THROW( AlbertaError, "Wrong number of face vertices passed: " << vertices.size() << "." );
      for( size_t i = 0; i < faceId.size(); ++i )
        faceId[ i ] = vertices[ i ];
      std::sort( faceId.begin(), faceId.end() );
 
      typedef std::pair< typename BoundaryMap::iterator, bool > InsertResult;
      const InsertResult result = boundaryMap_.insert( std::make_pair( faceId, boundaryProjections_.size() ) );
      if( !result.second )
        DUNE_THROW( GridError, "Only one boundary projection can be attached to a face." );
      boundaryProjections_.push_back( DuneProjectionPtr( projection ) );
    }
 
 
    virtual void insertBoundaryProjection ( const DuneProjection *projection )
    {
      if( globalProjection_ )
        DUNE_THROW( GridError, "Only one global boundary projection can be attached to a grid." );
      globalProjection_ = DuneProjectionPtr( projection );
    }
 
    virtual void
    insertBoundarySegment ( const std::vector< unsigned int >& vertices )
    {
      insertBoundaryProjection( GeometryTypes::simplex( dimension-1 ), vertices, 0 );
    }
 
    virtual void
    insertBoundarySegment ( const std::vector< unsigned int > &vertices,
                            const std::shared_ptr< BoundarySegment > &boundarySegment )
    {
      auto refSimplex = ReferenceElements< ctype, dimension-1 >::simplex();
 
      if( !boundarySegment )
        DUNE_THROW( GridError, "Trying to insert null as a boundary segment." );
      if( (int)vertices.size() != refSimplex.size( dimension-1 ) )
        DUNE_THROW( GridError, "Wrong number of face vertices passed: " << vertices.size() << "." );
 
      std::vector< WorldVector > coords( refSimplex.size( dimension-1 ) );
      for( int i = 0; i < dimension; ++i )
      {
        Alberta::GlobalVector &x = macroData_.vertex( vertices[ i ] );
        for( int j = 0; j < dimensionworld; ++j )
          coords[ i ][ j ] = x[ j ];
        if( ((*boundarySegment)( refSimplex.position( i, dimension-1 ) ) - coords[ i ]).two_norm() > 1e-6 )
          DUNE_THROW( GridError, "Boundary segment does not interpolate the corners." );
      }
 
      const GeometryType gt = refSimplex.type( 0, 0 );
      const DuneProjection *prj = new BoundarySegmentWrapper( gt, coords, boundarySegment );
      insertBoundaryProjection( gt, vertices, prj );
    }
 
    void insertFaceTransformation ( const WorldMatrix &matrix, const WorldVector &shift );
 
    void markLongestEdge ()
    {
      macroData_.markLongestEdge();
    }
 
    std::unique_ptr<Grid> createGrid ()
    {
      macroData_.finalize();
      if( macroData_.elementCount() == 0 )
        DUNE_THROW( GridError, "Cannot create empty AlbertaGrid." );
      if( dimension < 3 )
        macroData_.setOrientation( Alberta::Real( 1 ) );
      assert( macroData_.checkNeighbors() );
      macroData_.checkCycles();
      ProjectionFactory projectionFactory( *this );
      return std::make_unique<Grid>( macroData_, projectionFactory );
    }
 
    static void destroyGrid ( Grid *grid )
    {
      delete grid;
    }
 
    bool write ( const std::string &filename )
    {
      macroData_.finalize();
      if( dimension < 3 )
        macroData_.setOrientation( Alberta::Real( 1 ) );
      assert( macroData_.checkNeighbors() );
      return macroData_.write( filename, false );
    }
 
    virtual unsigned int
    insertionIndex ( const typename Codim< 0 >::Entity &entity ) const
    {
      return insertionIndex( entity.impl().elementInfo() );
    }
 
    virtual unsigned int
    insertionIndex ( const typename Codim< dimension >::Entity &entity ) const
    {
      const int elIndex = insertionIndex( entity.impl().elementInfo() );
      const typename MacroData::ElementId &elementId = macroData_.element( elIndex );
      return elementId[ entity.impl().subEntity() ];
    }
 
    virtual unsigned int
    insertionIndex ( const typename Grid::LeafIntersection &intersection ) const
    {
      const Grid &grid = intersection.impl().grid();
      const ElementInfo &elementInfo = intersection.impl().elementInfo();
      const int face = grid.generic2alberta( 1, intersection.indexInInside() );
      return insertionIndex( elementInfo, face );
    }
 
    virtual bool
    wasInserted ( const typename Grid::LeafIntersection &intersection ) const
    {
      return (insertionIndex( intersection ) < std::numeric_limits< unsigned int >::max());
    }
 
  private:
    unsigned int insertionIndex ( const ElementInfo &elementInfo ) const;
    unsigned int insertionIndex ( const ElementInfo &elementInfo, const int face ) const;
 
    FaceId faceId ( const ElementInfo &elementInfo, const int face ) const;
 
    MacroData macroData_;
    NumberingMap numberingMap_;
    DuneProjectionPtr globalProjection_;
    BoundaryMap boundaryMap_;
    std::vector< DuneProjectionPtr > boundaryProjections_;
  };
 
 
  template< int dim, int dimworld >
  GridFactory< AlbertaGrid< dim, dimworld > >::~GridFactory ()
  {
    macroData_.release();
  }
 
 
  template< int dim, int dimworld >
  inline void
  GridFactory< AlbertaGrid< dim, dimworld > >
  ::insertFaceTransformation ( const WorldMatrix &matrix, const WorldVector &shift )
  {
    // make sure the matrix is orthogonal
    for( int i = 0; i < dimworld; ++i )
      for( int j = 0; j < dimworld; ++j )
      {
        const ctype delta = (i == j ? ctype( 1 ) : ctype( 0 ));
        const ctype epsilon = (8*dimworld)*std::numeric_limits< ctype >::epsilon();
 
        if( std::abs( matrix[ i ] * matrix[ j ] - delta ) > epsilon )
        {
          DUNE_THROW( AlbertaError,
                      "Matrix of face transformation is not orthogonal." );
        }
      }
 
    // copy matrix
    Alberta::GlobalMatrix M;
    for( int i = 0; i < dimworld; ++i )
      for( int j = 0; j < dimworld; ++j )
        M[ i ][ j ] = matrix[ i ][ j ];
 
    // copy shift
    Alberta::GlobalVector t;
    for( int i = 0; i < dimworld; ++i )
      t[ i ] = shift[ i ];
 
    // insert into ALBERTA macro data
    macroData_.insertWallTrafo( M, t );
  }
 
 
  template< int dim, int dimworld >
  inline unsigned int
  GridFactory< AlbertaGrid< dim, dimworld > >
  ::insertionIndex ( const ElementInfo &elementInfo ) const
  {
    const MacroElement &macroElement = elementInfo.macroElement();
    const unsigned int index = macroElement.index;
 
#ifndef NDEBUG
    const typename MacroData::ElementId &elementId = macroData_.element( index );
    for( int i = 0; i <= dimension; ++i )
    {
      const Alberta::GlobalVector &x = macroData_.vertex( elementId[ i ] );
      const Alberta::GlobalVector &y = macroElement.coordinate( i );
      for( int j = 0; j < dimensionworld; ++j )
      {
        if( x[ j ] != y[ j ] )
          DUNE_THROW( GridError, "Vertex in macro element does not coincide with same vertex in macro data structure." );
      }
    }
#endif // #ifndef NDEBUG
 
    return index;
  }
 
 
  template< int dim, int dimworld >
  inline unsigned int
  GridFactory< AlbertaGrid< dim, dimworld > >
  ::insertionIndex ( const ElementInfo &elementInfo, const int face ) const
  {
    typedef typename BoundaryMap::const_iterator Iterator;
    const Iterator it = boundaryMap_.find( faceId( elementInfo, face ) );
    if( it != boundaryMap_.end() )
      return it->second;
    else
      return std::numeric_limits< unsigned int >::max();
  }
 
 
  template< int dim, int dimworld >
  inline typename GridFactory< AlbertaGrid< dim, dimworld > >::FaceId
  GridFactory< AlbertaGrid< dim, dimworld > >
  ::faceId ( const ElementInfo &elementInfo, const int face ) const
  {
    const unsigned int index = insertionIndex( elementInfo );
    const typename MacroData::ElementId &elementId = macroData_.element( index );
 
    FaceId faceId;
    for( size_t i = 0; i < faceId.size(); ++i )
    {
      const int k = Alberta::MapVertices< dimension, 1 >::apply( face, i );
      faceId[ i ] = elementId[ k ];
    }
    std::sort( faceId.begin(), faceId.end() );
    return faceId;
  }
 
 
 
  // GridFactory::ProjectionFactory
  // ------------------------------
 
  template< int dim, int dimworld >
  class GridFactory< AlbertaGrid< dim, dimworld > >::ProjectionFactory
    : public Alberta::ProjectionFactory< Alberta::DuneBoundaryProjection< dim >, ProjectionFactory >
  {
    typedef ProjectionFactory This;
    typedef Alberta::ProjectionFactory< Alberta::DuneBoundaryProjection< dim >, ProjectionFactory > Base;
 
    typedef typename Dune::GridFactory< AlbertaGrid< dim, dimworld > > Factory;
 
  public:
    typedef typename Base::Projection Projection;
    typedef typename Base::ElementInfo ElementInfo;
 
    typedef typename Projection::Projection DuneProjection;
 
    ProjectionFactory( const GridFactory &gridFactory )
      : gridFactory_( gridFactory )
    {}
 
    bool hasProjection ( const ElementInfo &elementInfo, const int face ) const
    {
      if( gridFactory().globalProjection_ )
        return true;
 
      const unsigned int index = gridFactory().insertionIndex( elementInfo, face );
      if( index < std::numeric_limits< unsigned int >::max() )
        return bool( gridFactory().boundaryProjections_[ index ] );
      else
        return false;
    }
 
    bool hasProjection ( const ElementInfo & /* elementInfo */ ) const
    {
      return bool( gridFactory().globalProjection_ );
    }
 
    Projection projection ( const ElementInfo &elementInfo, const int face ) const
    {
      const unsigned int index = gridFactory().insertionIndex( elementInfo, face );
      if( index < std::numeric_limits< unsigned int >::max() )
      {
        const DuneProjectionPtr &projection = gridFactory().boundaryProjections_[ index ];
        if( projection )
          return Projection( projection );
      }
 
      assert( gridFactory().globalProjection_ );
      return Projection( gridFactory().globalProjection_ );
    };
 
    Projection projection ( const ElementInfo & /* elementInfo */ ) const
    {
      assert( gridFactory().globalProjection_ );
      return Projection( gridFactory().globalProjection_ );
    };
 
    const GridFactory &gridFactory () const
    {
      return gridFactory_;
    }
 
  private:
    const GridFactory &gridFactory_;
  };
 
}
 
#endif // #if HAVE_ALBERTA
 
#endif // #ifndef DUNE_ALBERTA_GRIDFACTORY_HH