ElemEvaluator.hpp

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#ifndef ELEM_EVALUATOR_HPP
#define ELEM_EVALUATOR_HPP
 
#include "moab/Interface.hpp"
#include "moab/CartVect.hpp"
#include "moab/Matrix3.hpp"
#include "moab/CN.hpp"
 
#include <vector>
 
namespace moab
{
 
typedef ErrorCode ( *EvalFcn )( const double* params,
                                const double* field,
                                const int ndim,
                                const int num_tuples,
                                double* work,
                                double* result );
 
typedef ErrorCode ( *JacobianFcn )( const double* params,
                                    const double* verts,
                                    const int nverts,
                                    const int ndim,
                                    double* work,
                                    double* result );
 
typedef ErrorCode ( *IntegrateFcn )( const double* field,
                                     const double* verts,
                                     const int nverts,
                                     const int ndim,
                                     const int num_tuples,
                                     double* work,
                                     double* result );
 
typedef ErrorCode ( *InitFcn )( const double* verts, const int nverts, double*& work );
 
typedef int ( *InsideFcn )( const double* verts, const int ndims, const double tol );
 
typedef ErrorCode ( *ReverseEvalFcn )( EvalFcn eval,
                                       JacobianFcn jacob,
                                       InsideFcn ins,
                                       const double* posn,
                                       const double* verts,
                                       const int nverts,
                                       const int ndim,
                                       const double iter_tol,
                                       const double inside_tol,
                                       double* work,
                                       double* params,
                                       int* is_inside );
 
typedef ErrorCode (
    *NormalFcn )( const int ientDim, const int facet, const int nverts, const double* verts, double normal[3] );
 
class EvalSet
{
  public:
    /** \brief Forward-evaluation of field at parametric coordinates */
    EvalFcn evalFcn;
 
    /** \brief Reverse-evaluation of parametric coordinates at physical space position */
    ReverseEvalFcn reverseEvalFcn;
 
    /** \brief Evaluate the normal at a local facet (edge/face for 2D/3D) */
    NormalFcn normalFcn;
 
    /** \brief Evaluate the jacobian at a specified parametric position */
    JacobianFcn jacobianFcn;
 
    /** \brief Forward-evaluation of field at parametric coordinates */
    IntegrateFcn integrateFcn;
 
    /** \brief Initialization function for an element */
    InitFcn initFcn;
 
    /** \brief Function that returns whether or not the parameters are inside the natural space of
     * the element */
    InsideFcn insideFcn;
 
    /** \brief Bare constructor */
    EvalSet()
        : evalFcn( NULL ), reverseEvalFcn( NULL ), normalFcn( NULL ), jacobianFcn( NULL ), integrateFcn( NULL ),
          initFcn( NULL ), insideFcn( NULL )
    {
    }
 
    /** \brief Constructor */
    EvalSet( EvalFcn eval,
             ReverseEvalFcn rev,
             NormalFcn normal,
             JacobianFcn jacob,
             IntegrateFcn integ,
             InitFcn initf,
             InsideFcn insidef )
        : evalFcn( eval ), reverseEvalFcn( rev ), normalFcn( normal ), jacobianFcn( jacob ), integrateFcn( integ ),
          initFcn( initf ), insideFcn( insidef )
    {
    }
 
    /** \brief Copy constructor */
    EvalSet( EvalSet const& eval )
        : evalFcn( eval.evalFcn ), reverseEvalFcn( eval.reverseEvalFcn ), normalFcn( eval.normalFcn ),
          jacobianFcn( eval.jacobianFcn ), integrateFcn( eval.integrateFcn ), initFcn( eval.initFcn ),
          insideFcn( eval.insideFcn )
    {
    }
 
    /** \brief Given an entity handle, get an appropriate eval set, based on type & #vertices */
    static ErrorCode get_eval_set( Interface* mb, EntityHandle eh, EvalSet& eval_set );
 
    /** \brief Given type & #vertices, get an appropriate eval set */
    static ErrorCode get_eval_set( EntityType tp, unsigned int num_vertices, EvalSet& eval_set );
 
    /** \brief Operator= */
    EvalSet& operator=( const EvalSet& eval )
    {
        evalFcn        = eval.evalFcn;
        reverseEvalFcn = eval.reverseEvalFcn;
        normalFcn      = eval.normalFcn;
        jacobianFcn    = eval.jacobianFcn;
        integrateFcn   = eval.integrateFcn;
        initFcn        = eval.initFcn;
        insideFcn      = eval.insideFcn;
        return *this;
    }
 
    /** \brief Common function to do reverse evaluation based on evaluation and jacobian functions
     */
    static ErrorCode evaluate_reverse( EvalFcn eval,
                                       JacobianFcn jacob,
                                       InsideFcn inside_f,
                                       const double* posn,
                                       const double* verts,
                                       const int nverts,
                                       const int ndim,
                                       const double iter_tol,
                                       const double inside_tol,
                                       double* work,
                                       double* params,
                                       int* inside );
    /** \brief Common function that returns true if params is in [-1,1]^ndims */
    static int inside_function( const double* params, const int ndims, const double tol );
};
 
/** \brief Given an entity handle, get an appropriate eval set, based on type & #vertices */
inline ErrorCode EvalSet::get_eval_set( Interface* mb, EntityHandle eh, EvalSet& eval_set )
{
    int nv;
    EntityType tp = mb->type_from_handle( eh );
    const EntityHandle* connect;
    std::vector< EntityHandle > dum_vec;
    ErrorCode rval = mb->get_connectivity( eh, connect, nv, false, &dum_vec );
    if( MB_SUCCESS != rval ) return rval;
 
    return get_eval_set( tp, nv, eval_set );
}
 
/**\brief Class facilitating local discretization-related functions
 * \class ElemEvaluator
 * This class implements discretization-related functionality operating
 * on data in MOAB.  A member of this class caches certain data about the element
 * it's currently operating on, but is not meant to be instantiated one-per-element,
 * but rather one-per-search (or other operation on a collection of elements).
 *
 * Actual discretization functionality is accessed through function pointers,
 * allowing applications to specialize the implementation of specific functions
 * while still using this class.
 *
 * This class depends on MOAB functionality for gathering entity-based data; the functions
 * it calls through function pointers depend only on POD (plain old data, or intrinsic data types).
 * This allows the use of other packages for serving these functions, without having to modify
 * them to get data through MOAB.  This should also promote efficiency, since in many cases they
 * will be able to read data from its native storage locations.
 */
 
class ElemEvaluator
{
  public:
    /** \brief Constructor
     * \param impl MOAB instance
     * \param ent Entity handle to cache on the evaluator; if non-zero, calls set_ent_handle, which
     * does some other stuff. \param tag Tag to cache on the evaluator; if non-zero, calls
     * set_tag_handle, which does some other stuff too. \param tagged_ent_dim Dimension of entities
     * to be tagged to cache on the evaluator
     */
    ElemEvaluator( Interface* impl, EntityHandle ent = 0, Tag tag = 0, int tagged_ent_dim = -1 );
    ~ElemEvaluator();
 
    /** \brief Evaluate cached tag at a given parametric location within the cached entity
     * If evaluating coordinates, call set_tag(0, 0), which indicates coords instead of a tag.
     * \param params Parameters at which to evaluate field
     * \param result Result of evaluation
     * \param num_tuples Size of evaluated field, in number of values
     */
    ErrorCode eval( const double* params, double* result, int num_tuples = -1 ) const;
 
    /** \brief Reverse-evaluate the cached entity at a given physical position
     * \param posn Position at which to evaluate parameters
     * \param iter_tol Tolerance of reverse evaluation non-linear iteration, usually 10^-10 or so
     * \param inside_tol Tolerance of is_inside evaluation, usually 10^-6 or so
     * \param params Result of evaluation
     * \param is_inside If non-NULL, returns true of resulting parameters place the point inside the
     * element (in most cases, within [-1]*(dim)
     */
    ErrorCode reverse_eval( const double* posn,
                            double iter_tol,
                            double inside_tol,
                            double* params,
                            int* is_inside = NULL ) const;
 
    /**
     * \brief Evaluate the normal to a facet of an entity
     * \param ientDim Dimension of the facet. Should be (d-1) for d-dimensional entities
     * \param facet Local id of the facet w.r.t the entity
     * \param normal Returns the normal.
     */
    ErrorCode get_normal( const int ientDim, const int facet, double normal[3] ) const;
 
    /** \brief Evaluate the jacobian of the cached entity at a given parametric location
     * \param params Parameters at which to evaluate jacobian
     * \param result Result of evaluation, in the form of a 3x3 matrix, stored in column-major order
     */
    ErrorCode jacobian( const double* params, double* result ) const;
 
    /** \brief Integrate the cached tag over the cached entity
     * \param result Result of the integration
     */
    ErrorCode integrate( double* result ) const;
 
    /** \brief Return whether a physical position is inside the cached entity to within a tolerance
     * \param params Parameters at which to query the element
     * \param tol Tolerance, usually 10^-6 or so
     */
    int inside( const double* params, const double tol ) const;
 
    /** \brief Given a list of entities, return the entity the point is in, or none
     * This function reverse-evaluates the entities, returning the first entity containing the
     * point. If no entity contains the point, containing_ent is returned as 0 and params are
     * unchanged. This function returns something other than MB_SUCCESS only when queries go wrong
     * for some reason. num_evals, if non-NULL, is always incremented for each call to reverse_eval.
     * This function calls set_ent_handle for each entity before calling reverse_eval, so the
     * ElemEvaluator object is changed. \param entities Entities tested \param point Point tested,
     * must have 3 dimensions, even for edge and face entities \param iter_tol Tolerance for
     * non-linear reverse evaluation \param inside_tol Tolerance for is_inside test \param
     * containing_ent Entity containing the point, returned 0 if no entity \param params Parameters
     * of point in containing entity, unchanged if no containing entity \param num_evals If
     * non-NULL, incremented each time reverse_eval is called \return Returns non-success only if
     * evaulation failed for some reason (point not in element is NOT a reason for failure)
     */
    ErrorCode find_containing_entity( Range& entities,
                                      const double* point,
                                      const double iter_tol,
                                      const double inside_tol,
                                      EntityHandle& containing_ent,
                                      double* params,
                                      unsigned int* num_evals = NULL );
 
    /** \brief Given an entity set, return the contained entity the point is in, or none
     * This function reverse-evaluates the entities, returning the first entity containing the
     * point. If no entity contains the point, containing_ent is returned as 0 and params are
     * unchanged. This function returns something other than MB_SUCCESS only when queries go wrong
     * for some reason. num_evals, if non-NULL, is always incremented for each call to reverse_eval.
     * This function calls set_ent_handle for each entity before calling reverse_eval, so the
     * ElemEvaluator object is changed. \param ent_set Entity set containing the entities to be
     * tested \param point Point tested, must have 3 dimensions, even for edge and face entities
     * \param iter_tol Tolerance for non-linear reverse evaluation
     * \param inside_tol Tolerance for is_inside test
     * \param containing_ent Entity containing the point, returned 0 if no entity
     * \param params Parameters of point in containing entity, unchanged if no containing entity
     * \param num_evals If non-NULL, incremented each time reverse_eval is called
     * \return Returns non-success only if evaulation failed for some reason (point not in element
     * is NOT a reason for failure)
     */
    ErrorCode find_containing_entity( EntityHandle ent_set,
                                      const double* point,
                                      const double iter_tol,
                                      const double inside_tol,
                                      EntityHandle& containing_ent,
                                      double* params,
                                      unsigned int* num_evals = NULL );
 
    /** \brief Set the eval set for a given type entity
     * \param tp Entity type for which to set the eval set
     * \param eval_set Eval set object to use
     */
    ErrorCode set_eval_set( EntityType tp, const EvalSet& eval_set );
 
    /** \brief Set the eval set using a given entity handle
     * This function queries the entity type and number of vertices on the entity to decide which
     * type of shape function to use. NOTE: this function should only be called after setting a
     * valid MOAB instance on the evaluator \param eh Entity handle whose type and #vertices are
     * queried
     */
    ErrorCode set_eval_set( const EntityHandle eh );
 
    /** \brief Get the eval set for a given type entity */
    inline EvalSet get_eval_set( EntityType tp )
    {
        return evalSets[tp];
    }
 
    /** \brief Set entity handle & cache connectivty & vertex positions */
    inline ErrorCode set_ent_handle( EntityHandle ent );
 
    /** \brief Get entity handle for this ElemEval */
    inline EntityHandle get_ent_handle() const
    {
        return entHandle;
    }
 
    /* \brief Get vertex positions cached on this EE
     */
    inline double* get_vert_pos()
    {
        return vertPos[0].array();
    }
 
    /* \brief Get the vertex handles cached here */
    inline const EntityHandle* get_vert_handles() const
    {
        return vertHandles;
    }
 
    /* \brief Get the number of vertices for the cached entity */
    inline int get_num_verts() const
    {
        return numVerts;
    }
 
    /* \brief Get the tag handle cached on this entity */
    inline Tag get_tag_handle() const
    {
        return tagHandle;
    };
 
    /* \brief Set the tag handle to cache on this evaluator
     * To designate that vertex coordinates are the desired tag, pass in a tag handle of 0
     * and a tag dimension of 0.
     * \param tag Tag handle to cache, or 0 to cache vertex positions
     * \param tagged_ent_dim Dimension of entities tagged with this tag
     */
    inline ErrorCode set_tag_handle( Tag tag, int tagged_ent_dim = -1 );
 
    /* \brief Set the name of the tag to cache on this evaluator
     * To designate that vertex coordinates are the desired tag, pass in "COORDS" as the name
     * and a tag dimension of 0.
     * \param tag_name Tag handle to cache, or 0 to cache vertex positions
     * \param tagged_ent_dim Dimension of entities tagged with this tag
     */
    inline ErrorCode set_tag( const char* tag_name, int tagged_ent_dim = -1 );
 
    /* \brief Get the dimension of the entities on which tag is set */
    inline int get_tagged_ent_dim() const
    {
        return taggedEntDim;
    };
 
    /* \brief Set the dimension of entities having the tag */
    inline ErrorCode set_tagged_ent_dim( int dim );
 
    /* \brief Get work space, sometimes this is useful for evaluating data you don't want to set as
     * tags on entities Can't be const because most of the functions (evaluate, integrate, etc.)
     * take non-const work space *'s
     */
    inline double* get_work_space()
    {
        return workSpace;
    }
 
    /* \brief MOAB interface cached on this evaluator */
    inline Interface* get_moab()
    {
        return mbImpl;
    }
 
  private:
    /** \brief Interface */
    Interface* mbImpl;
 
    /** \brief Entity handle being evaluated */
    EntityHandle entHandle;
 
    /** \brief Entity type */
    EntityType entType;
 
    /** \brief Entity dimension */
    int entDim;
 
    /** \brief Number of vertices cached here */
    int numVerts;
 
    /** \brief Cached copy of vertex handle ptr */
    const EntityHandle* vertHandles;
 
    /** \brief Cached copy of vertex positions */
    CartVect vertPos[CN::MAX_NODES_PER_ELEMENT];
 
    /** \brief Tag being evaluated */
    Tag tagHandle;
 
    /** \brief Whether tag is coordinates or something else */
    bool tagCoords;
 
    /** \brief Number of values in this tag */
    int numTuples;
 
    /** \brief Dimension of entities from which to grab tag */
    int taggedEntDim;
 
    /** \brief Tag space */
    std::vector< unsigned char > tagSpace;
 
    /** \brief Evaluation methods for elements of various topologies */
    EvalSet evalSets[MBMAXTYPE];
 
    /** \brief Work space for element-specific data */
    double* workSpace;
 
};  // class ElemEvaluator
 
inline ElemEvaluator::ElemEvaluator( Interface* impl, EntityHandle ent, Tag tag, int tagged_ent_dim )
    : mbImpl( impl ), entHandle( 0 ), entType( MBMAXTYPE ), entDim( -1 ), numVerts( 0 ), vertHandles( NULL ),
      tagHandle( 0 ), tagCoords( false ), numTuples( 0 ), taggedEntDim( 0 ), workSpace( NULL )
{
    if( ent ) set_ent_handle( ent );
    if( tag ) set_tag_handle( tag, tagged_ent_dim );
}
 
inline ElemEvaluator::~ElemEvaluator()
{
    if( workSpace ) delete[] workSpace;
}
 
inline ErrorCode ElemEvaluator::set_ent_handle( EntityHandle ent )
{
    entHandle = ent;
    if( workSpace )
    {
        delete[] workSpace;
        workSpace = NULL;
    }
 
    entType = mbImpl->type_from_handle( ent );
    entDim  = mbImpl->dimension_from_handle( ent );
 
    std::vector< EntityHandle > dum_vec;
    ErrorCode rval = mbImpl->get_connectivity( ent, vertHandles, numVerts, false, &dum_vec );
    if( MB_SUCCESS != rval ) return rval;
 
    if( !evalSets[entType].evalFcn ) EvalSet::get_eval_set( entType, numVerts, evalSets[entType] );
 
    rval = mbImpl->get_coords( vertHandles, numVerts, vertPos[0].array() );
    if( MB_SUCCESS != rval ) return rval;
 
    if( tagHandle )
    {
        rval = set_tag_handle( tagHandle );
        if( MB_SUCCESS != rval ) return rval;
    }
    if( evalSets[entType].initFcn ) return ( *evalSets[entType].initFcn )( vertPos[0].array(), numVerts, workSpace );
    return MB_SUCCESS;
}
 
inline ErrorCode ElemEvaluator::set_tag_handle( Tag tag, int tagged_ent_dim )
{
    ErrorCode rval = MB_SUCCESS;
    if( !tag && !tagged_ent_dim )
    {
        tagCoords    = true;
        numTuples    = 3;
        taggedEntDim = 0;
        tagHandle    = 0;
        return rval;
    }
    else if( tagHandle != tag )
    {
        tagHandle = tag;
        rval      = mbImpl->tag_get_length( tagHandle, numTuples );
        if( MB_SUCCESS != rval ) return rval;
        int sz;
        rval = mbImpl->tag_get_bytes( tag, sz );
        if( MB_SUCCESS != rval ) return rval;
        tagSpace.resize( CN::MAX_NODES_PER_ELEMENT * sz );
        tagCoords = false;
    }
 
    taggedEntDim = ( -1 == tagged_ent_dim ? 0 : tagged_ent_dim );
 
    if( entHandle )
    {
        if( 0 == taggedEntDim )
        {
            rval = mbImpl->tag_get_data( tagHandle, vertHandles, numVerts, &tagSpace[0] );
            if( MB_SUCCESS != rval ) return rval;
        }
        else if( taggedEntDim == entDim )
        {
            rval = mbImpl->tag_get_data( tagHandle, &entHandle, 1, &tagSpace[0] );
            if( MB_SUCCESS != rval ) return rval;
        }
    }
 
    return rval;
}
 
inline ErrorCode ElemEvaluator::set_tag( const char* tag_name, int tagged_ent_dim )
{
    ErrorCode rval = MB_SUCCESS;
    if( !tag_name || strlen( tag_name ) == 0 ) return MB_FAILURE;
    Tag tag;
    if( !strcmp( tag_name, "COORDS" ) )
    {
        tagCoords    = true;
        taggedEntDim = 0;
        numTuples    = 3;
        tagHandle    = 0;
        // can return here, because vertex coords already cached when entity handle set
        return rval;
    }
    else
    {
        rval = mbImpl->tag_get_handle( tag_name, tag );
        if( MB_SUCCESS != rval ) return rval;
 
        if( tagHandle != tag )
        {
            tagHandle = tag;
            rval      = mbImpl->tag_get_length( tagHandle, numTuples );
            if( MB_SUCCESS != rval ) return rval;
            int sz;
            rval = mbImpl->tag_get_bytes( tag, sz );
            if( MB_SUCCESS != rval ) return rval;
            tagSpace.reserve( CN::MAX_NODES_PER_ELEMENT * sz );
            tagCoords = false;
        }
 
        taggedEntDim = ( -1 == tagged_ent_dim ? entDim : tagged_ent_dim );
    }
 
    if( entHandle )
    {
        if( 0 == taggedEntDim )
        {
            rval = mbImpl->tag_get_data( tagHandle, vertHandles, numVerts, &tagSpace[0] );
            if( MB_SUCCESS != rval ) return rval;
        }
        else if( taggedEntDim == entDim )
        {
            rval = mbImpl->tag_get_data( tagHandle, &entHandle, 1, &tagSpace[0] );
            if( MB_SUCCESS != rval ) return rval;
        }
    }
 
    return rval;
}
 
inline ErrorCode ElemEvaluator::set_eval_set( EntityType tp, const EvalSet& eval_set )
{
    evalSets[tp] = eval_set;
    if( entHandle && evalSets[entType].initFcn )
    {
        ErrorCode rval = ( *evalSets[entType].initFcn )( vertPos[0].array(), numVerts, workSpace );
        if( MB_SUCCESS != rval ) return rval;
    }
    return MB_SUCCESS;
}
 
inline ErrorCode ElemEvaluator::eval( const double* params, double* result, int num_tuples ) const
{
    assert( entHandle && MBMAXTYPE != entType );
    return ( *evalSets[entType].evalFcn )(
        params, ( tagCoords ? (const double*)vertPos[0].array() : (const double*)&tagSpace[0] ), entDim,
        ( -1 == num_tuples ? numTuples : num_tuples ), workSpace, result );
}
 
inline ErrorCode ElemEvaluator::reverse_eval( const double* posn,
                                              const double iter_tol,
                                              const double inside_tol,
                                              double* params,
                                              int* ins ) const
{
    assert( entHandle && MBMAXTYPE != entType );
    return ( *evalSets[entType].reverseEvalFcn )( evalSets[entType].evalFcn, evalSets[entType].jacobianFcn,
                                                  evalSets[entType].insideFcn, posn, vertPos[0].array(), numVerts,
                                                  entDim, iter_tol, inside_tol, workSpace, params, ins );
}
 
/** \brief Evaluate the normal of the cached entity at a given facet */
inline ErrorCode ElemEvaluator::get_normal( const int ientDim, const int facet, double normal[3] ) const
{
    assert( entHandle && MBMAXTYPE != entType );
    return ( *evalSets[entType].normalFcn )( ientDim, facet, numVerts, vertPos[0].array(), normal );
}
 
/** \brief Evaluate the jacobian of the cached entity at a given parametric location */
inline ErrorCode ElemEvaluator::jacobian( const double* params, double* result ) const
{
    assert( entHandle && MBMAXTYPE != entType );
    return ( *evalSets[entType].jacobianFcn )( params, vertPos[0].array(), numVerts, entDim, workSpace, result );
}
 
/** \brief Integrate the cached tag over the cached entity */
inline ErrorCode ElemEvaluator::integrate( double* result ) const
{
    assert( entHandle && MBMAXTYPE != entType && ( tagCoords || tagHandle ) );
    ErrorCode rval = MB_SUCCESS;
    if( !tagCoords )
    {
        if( 0 == taggedEntDim )
            rval = mbImpl->tag_get_data( tagHandle, vertHandles, numVerts, (void*)&tagSpace[0] );
        else
            rval = mbImpl->tag_get_data( tagHandle, &entHandle, 1, (void*)&tagSpace[0] );
        if( MB_SUCCESS != rval ) return rval;
    }
    return ( *evalSets[entType].integrateFcn )( ( tagCoords ? vertPos[0].array() : (const double*)&tagSpace[0] ),
                                                vertPos[0].array(), numVerts, entDim, numTuples, workSpace, result );
}
 
inline ErrorCode ElemEvaluator::find_containing_entity( EntityHandle ent_set,
                                                        const double* point,
                                                        const double iter_tol,
                                                        const double inside_tol,
                                                        EntityHandle& containing_ent,
                                                        double* params,
                                                        unsigned int* num_evals )
{
    assert( mbImpl->type_from_handle( ent_set ) == MBENTITYSET );
    Range entities;
    ErrorCode rval = mbImpl->get_entities_by_handle( ent_set, entities );
    if( MB_SUCCESS != rval )
        return rval;
    else
        return find_containing_entity( entities, point, iter_tol, inside_tol, containing_ent, params, num_evals );
}
 
inline int ElemEvaluator::inside( const double* params, const double tol ) const
{
    return ( *evalSets[entType].insideFcn )( params, entDim, tol );
}
 
inline ErrorCode ElemEvaluator::set_eval_set( const EntityHandle eh )
{
    EvalSet eset;
    ErrorCode rval = EvalSet::get_eval_set( mbImpl, eh, evalSets[mbImpl->type_from_handle( eh )] );
    return rval;
}
 
}  // namespace moab
 
#endif /*MOAB_ELEM_EVALUATOR_HPP*/