ScdElementData.hpp

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/**
 * MOAB, a Mesh-Oriented datABase, is a software component for creating,
 * storing and accessing finite element mesh data.
 *
 * Copyright 2004 Sandia Corporation.  Under the terms of Contract
 * DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government
 * retains certain rights in this software.
 *
 * This library is free software; you can redistribute it and/or
 * modify it under the terms of the GNU Lesser General Public
 * License as published by the Free Software Foundation; either
 * version 2.1 of the License, or (at your option) any later version.
 *
 */

#ifndef SCD_ELEMENT_DATA_HPP
#define SCD_ELEMENT_DATA_HPP

//
// Class: ScdElementData
//
// Purpose: represent a rectangular element of mesh
//
// A ScdElement represents a rectangular element of mesh, including both vertices and
// elements, and the parametric space used to address that element.  Vertex data,
// i.e. coordinates, may not be stored directly in the element, but the element returns
// information about the vertex handles of vertices in the element.  Vertex and element
// handles associated with the element are each contiguous.

#include "SequenceData.hpp"
#include "moab/HomXform.hpp"
#include "moab/CN.hpp"
#include "ScdVertexData.hpp"
#include "Internals.hpp"
#include "moab/Range.hpp"

#include <vector>
#include <algorithm>

namespace moab
{

class ScdElementData : public SequenceData
{

    //! structure to hold references to bounding vertex blocks
    class VertexDataRef
    {
      private:
        HomCoord minmax[2];
        HomXform xform, invXform;
        ScdVertexData* srcSeq;

      public:
        friend class ScdElementData;

        VertexDataRef( const HomCoord& min, const HomCoord& max, const HomXform& tmp_xform, ScdVertexData* this_seq );

        bool contains( const HomCoord& coords ) const;
    };

  private:
    //! parameter min/max/stride for vertices, in homogeneous coords ijkh; elements
    //! are one less than max
    HomCoord boxParams[3];

    //! difference between max and min params plus one (i.e. # VERTICES in
    //! each parametric direction)
    int dIJK[3];

    //! difference between max and min params (i.e. # ELEMENTS in
    //! each parametric direction)
    int dIJKm1[3];

    //! whether scd element rectangle is periodic in i and possibly j
    int isPeriodic[2];

    //! bare constructor, so compiler doesn't create one for me
    ScdElementData();

    //! list of bounding vertex blocks
    std::vector< VertexDataRef > vertexSeqRefs;

  public:
    //! constructor
    ScdElementData( EntityHandle start_handle,
                    const int imin,
                    const int jmin,
                    const int kmin,
                    const int imax,
                    const int jmax,
                    const int kmax,
                    int* is_periodic );

    virtual ~ScdElementData();

    //! get handle of vertex at homogeneous coords
    inline EntityHandle get_vertex( const HomCoord& coords ) const;
    inline EntityHandle get_vertex( int i, int j, int k ) const
    {
        return get_vertex( HomCoord( i, j, k ) );
    }

    //! get handle of element at i, j, k
    EntityHandle get_element( const int i, const int j, const int k ) const;

    //! get min params for this element
    const HomCoord& min_params() const;

    //! get max params for this element
    const HomCoord& max_params() const;

    //! get the number of vertices in each direction, inclusive
    void param_extents( int& di, int& dj, int& dk ) const;

    //! given a handle, get the corresponding parameters
    ErrorCode get_params( const EntityHandle ehandle, int& i, int& j, int& k ) const;

    //! return whether rectangle is periodic in i
    inline int is_periodic_i() const
    {
        return isPeriodic[0];
    };

    //! return whether rectangle is periodic in j
    inline int is_periodic_j() const
    {
        return isPeriodic[1];
    };

    inline void is_periodic( int is_p[2] ) const
    {
        is_p[0] = isPeriodic[0];
        is_p[1] = isPeriodic[1];
    }

    //! convenience functions for parameter extents
    int i_min() const
    {
        return ( boxParams[0].hom_coord() )[0];
    }
    int j_min() const
    {
        return ( boxParams[0].hom_coord() )[1];
    }
    int k_min() const
    {
        return ( boxParams[0].hom_coord() )[2];
    }
    int i_max() const
    {
        return ( boxParams[1].hom_coord() )[0];
    }
    int j_max() const
    {
        return ( boxParams[1].hom_coord() )[1];
    }
    int k_max() const
    {
        return ( boxParams[1].hom_coord() )[2];
    }

    //! test the bounding vertex sequences and determine whether they fully
    //! define the vertices covering this element block's parameter space
    bool boundary_complete() const;

    //! test whether this sequence contains these parameters
    inline bool contains( const HomCoord& coords ) const;

    //! test whether *vertex parameterization* in this sequence contains these parameters
    inline bool contains_vertex( const HomCoord& coords ) const;

    //! get connectivity of an entity given entity's parameters
    inline ErrorCode get_params_connectivity( const int i,
                                              const int j,
                                              const int k,
                                              std::vector< EntityHandle >& connectivity ) const;

    //! add a vertex seq ref to this element sequence;
    //! if bb_input is true, bounding box (in eseq-local coords) of vseq being added
    //! is input in bb_min and bb_max (allows partial sharing of vseq rather than the whole
    //! vseq); if it's false, the whole vseq is referenced and the eseq-local coordinates
    //! is computed from the transformed bounding box of the vseq
    ErrorCode add_vsequence( ScdVertexData* vseq,
                             const HomCoord& p1,
                             const HomCoord& q1,
                             const HomCoord& p2,
                             const HomCoord& q2,
                             const HomCoord& p3,
                             const HomCoord& q3,
                             bool bb_input          = false,
                             const HomCoord& bb_min = HomCoord::unitv[0],
                             const HomCoord& bb_max = HomCoord::unitv[0] );

    SequenceData* subset( EntityHandle start,
                          EntityHandle end,
                          const int* sequence_data_sizes,
                          const int* tag_data_sizes ) const;

    static EntityID calc_num_entities( EntityHandle start_handle,
                                       int irange,
                                       int jrange,
                                       int krange,
                                       int* is_periodic = NULL );

    unsigned long get_memory_use() const;
};

inline EntityHandle ScdElementData::get_element( const int i, const int j, const int k ) const
{
    return start_handle() + ( i - i_min() ) + ( j - j_min() ) * dIJKm1[0] + ( k - k_min() ) * dIJKm1[0] * dIJKm1[1];
}

inline const HomCoord& ScdElementData::min_params() const
{
    return boxParams[0];
}

inline const HomCoord& ScdElementData::max_params() const
{
    return boxParams[1];
}

//! get the number of vertices in each direction, inclusive
inline void ScdElementData::param_extents( int& di, int& dj, int& dk ) const
{
    di = dIJK[0];
    dj = dIJK[1];
    dk = dIJK[2];
}

inline ErrorCode ScdElementData::get_params( const EntityHandle ehandle, int& i, int& j, int& k ) const
{
    if( TYPE_FROM_HANDLE( ehandle ) != TYPE_FROM_HANDLE( start_handle() ) ) return MB_FAILURE;

    int hdiff = ehandle - start_handle();

    // use double ?: test below because on some platforms, both sides of the : are
    // evaluated, and if dIJKm1[1] is zero, that'll generate a divide-by-zero
    k = ( dIJKm1[1] > 0 ? hdiff / ( dIJKm1[1] > 0 ? dIJKm1[0] * dIJKm1[1] : 1 ) : 0 );
    j = ( hdiff - ( k * dIJKm1[0] * dIJKm1[1] ) ) / dIJKm1[0];
    i = hdiff % dIJKm1[0];

    k += boxParams[0].k();
    j += boxParams[0].j();
    i += boxParams[0].i();

    return ( ehandle >= start_handle() && ehandle < start_handle() + size() && i >= i_min() && i <= i_max() &&
             j >= j_min() && j <= j_max() && k >= k_min() && k <= k_max() )
               ? MB_SUCCESS
               : MB_FAILURE;
}

inline bool ScdElementData::contains( const HomCoord& temp ) const
{
    // upper bound is < instead of <= because element params max is one less
    // than vertex params max, except in case of 2d or 1d sequence
    return ( ( dIJKm1[0] && temp.i() >= boxParams[0].i() && temp.i() < boxParams[0].i() + dIJKm1[0] ) &&
             ( ( !dIJKm1[1] && temp.j() == boxParams[1].j() ) ||
               ( dIJKm1[1] && temp.j() >= boxParams[0].j() && temp.j() < boxParams[0].j() + dIJKm1[1] ) ) &&
             ( ( !dIJKm1[2] && temp.k() == boxParams[1].k() ) ||
               ( dIJKm1[2] && temp.k() >= boxParams[0].k() && temp.k() < boxParams[0].k() + dIJKm1[2] ) ) );
}

inline bool ScdElementData::contains_vertex( const HomCoord& temp ) const
{
    // upper bound is < instead of <= because element params max is one less
    // than vertex params max, except in case of 2d or 1d sequence
    return ( ( dIJK[0] && temp.i() >= boxParams[0].i() && temp.i() < boxParams[0].i() + dIJK[0] ) &&
             ( ( !dIJK[1] && temp.j() == boxParams[1].j() ) ||
               ( dIJK[1] && temp.j() >= boxParams[0].j() && temp.j() < boxParams[0].j() + dIJK[1] ) ) &&
             ( ( !dIJK[2] && temp.k() == boxParams[1].k() ) ||
               ( dIJK[2] && temp.k() >= boxParams[0].k() && temp.k() < boxParams[0].k() + dIJK[2] ) ) );
}

inline bool ScdElementData::VertexDataRef::contains( const HomCoord& coords ) const
{
    return ( minmax[0] <= coords && minmax[1] >= coords );
}

inline ScdElementData::VertexDataRef::VertexDataRef( const HomCoord& this_min,
                                                     const HomCoord& this_max,
                                                     const HomXform& tmp_xform,
                                                     ScdVertexData* this_seq )
    : xform( tmp_xform ), invXform( tmp_xform.inverse() ), srcSeq( this_seq )
{
    minmax[0] = HomCoord( this_min );
    minmax[1] = HomCoord( this_max );
}

inline EntityHandle ScdElementData::get_vertex( const HomCoord& coords ) const
{
    assert( boundary_complete() );
    for( std::vector< VertexDataRef >::const_iterator it = vertexSeqRefs.begin(); it != vertexSeqRefs.end(); ++it )
    {
        if( ( *it ).minmax[0] <= coords && ( *it ).minmax[1] >= coords )
        {
            // first get the vertex block-local parameters
            HomCoord local_coords = coords / ( *it ).xform;

            assert( ( *it ).srcSeq->contains( local_coords ) );

            // now get the vertex handle for those coords
            return ( *it ).srcSeq->get_vertex( local_coords );
        }
    }

    // got here, it's an error
    return 0;
}

inline ErrorCode ScdElementData::add_vsequence( ScdVertexData* vseq,
                                                const HomCoord& p1,
                                                const HomCoord& q1,
                                                const HomCoord& p2,
                                                const HomCoord& q2,
                                                const HomCoord& p3,
                                                const HomCoord& q3,
                                                bool bb_input,
                                                const HomCoord& bb_min,
                                                const HomCoord& bb_max )
{
    // compute the transform given the vseq-local parameters and the mapping to
    // this element sequence's parameters passed in minmax
    HomXform M;
    M.three_pt_xform( p1, q1, p2, q2, p3, q3 );

    // min and max in element seq's parameter system may not be same as those in
    // vseq's system, so need to take min/max

    HomCoord minmax[2];
    if( bb_input )
    {
        minmax[0] = bb_min;
        minmax[1] = bb_max;
    }
    else
    {
        minmax[0] = vseq->min_params() * M;
        minmax[1] = vseq->max_params() * M;
    }

    // check against other vseq's to make sure they don't overlap
    for( std::vector< VertexDataRef >::const_iterator vsit = vertexSeqRefs.begin(); vsit != vertexSeqRefs.end();
         ++vsit )
        if( ( *vsit ).contains( minmax[0] ) || ( *vsit ).contains( minmax[1] ) ) return MB_FAILURE;

    HomCoord tmp_min( std::min( minmax[0].i(), minmax[1].i() ), std::min( minmax[0].j(), minmax[1].j() ),
                      std::min( minmax[0].k(), minmax[1].k() ) );
    HomCoord tmp_max( std::max( minmax[0].i(), minmax[1].i() ), std::max( minmax[0].j(), minmax[1].j() ),
                      std::max( minmax[0].k(), minmax[1].k() ) );

    // set up a new vertex sequence reference
    VertexDataRef tmp_seq_ref( tmp_min, tmp_max, M, vseq );

    // add to the list
    vertexSeqRefs.push_back( tmp_seq_ref );

    return MB_SUCCESS;
}

inline ErrorCode ScdElementData::get_params_connectivity( const int i,
                                                          const int j,
                                                          const int k,
                                                          std::vector< EntityHandle >& connectivity ) const
{
    if( contains( HomCoord( i, j, k ) ) == false ) return MB_FAILURE;

    int ip1 = ( isPeriodic[0] ? ( i + 1 ) % dIJKm1[0] : i + 1 ),
        jp1 = ( isPeriodic[1] ? ( j + 1 ) % dIJKm1[1] : j + 1 );

    connectivity.push_back( get_vertex( i, j, k ) );
    connectivity.push_back( get_vertex( ip1, j, k ) );
    if( CN::Dimension( TYPE_FROM_HANDLE( start_handle() ) ) < 2 ) return MB_SUCCESS;
    connectivity.push_back( get_vertex( ip1, jp1, k ) );
    connectivity.push_back( get_vertex( i, jp1, k ) );
    if( CN::Dimension( TYPE_FROM_HANDLE( start_handle() ) ) < 3 ) return MB_SUCCESS;
    connectivity.push_back( get_vertex( i, j, k + 1 ) );
    connectivity.push_back( get_vertex( ip1, j, k + 1 ) );
    connectivity.push_back( get_vertex( ip1, jp1, k + 1 ) );
    connectivity.push_back( get_vertex( i, jp1, k + 1 ) );
    return MB_SUCCESS;
}

}  // namespace moab

#endif