SpectralHex.hpp

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#ifndef SPECTRAL_HEX_HPP
#define SPECTRAL_HEX_HPP
/**\brief Shape function space for spectral hexahedron
 */

#include "moab/ElemEvaluator.hpp"
#include "SpectralFuncs.hpp"

namespace moab
{

class SpectralHex
{
  public:
    /** \brief Forward-evaluation of field at parametric coordinates */
    static ErrorCode evalFcn( const double* params,
                              const double* field,
                              const int ndim,
                              const int num_tuples,
                              double* work,
                              double* result );

    /** \brief Reverse-evaluation of parametric coordinates at physical space position */
    static 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 );

    /** \brief Evaluate the jacobian at a specified parametric position */
    static ErrorCode jacobianFcn( const double* params,
                                  const double* verts,
                                  const int nverts,
                                  const int ndim,
                                  double* work,
                                  double* result );

    /** \brief Forward-evaluation of field at parametric coordinates */
    static ErrorCode integrateFcn( const double* field,
                                   const double* verts,
                                   const int nverts,
                                   const int ndim,
                                   const int num_tuples,
                                   double* work,
                                   double* result );

    /** \brief Initialize this EvalSet */
    static ErrorCode initFcn( const double* verts, const int nverts, double*& work );

    /** \brief Function that returns whether or not the parameters are inside the natural space of
     * the element */
    static int insideFcn( const double* params, const int ndim, const double tol );

    static EvalSet eval_set()
    {
        return EvalSet( evalFcn, reverseEvalFcn, jacobianFcn, integrateFcn, initFcn );
    }

    static bool compatible( EntityType tp, int numv, EvalSet& eset )
    {
        if( tp != MBHEX ) return false;
        int i;
        for( i = 3; i * i * i == numv || i * i * i > numv; i++ )
            ;
        if( i * i * i != numv ) return false;
        eset = eval_set();
        return true;
    }

  protected:
    static int _n;
    static double* _z[3];
    static lagrange_data _ld[3];
    static opt_data_3 _data;
    static double* _odwork;  // work area
    static bool init_;
};  // class SpectralHex

}  // namespace moab

#endif