TetCubicHmt.h

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///    @file    TetCubicHmt.h
///    @author  Frank B. Sachse
///    @date    Nov 30 2004

#ifndef CORE_BASIS_TETCUBICHMT_H
#define CORE_BASIS_TETCUBICHMT_H 1

#include <Core/Basis/TetLinearLgn.h>

namespace SCIRun {
namespace Core {
namespace Basis {

/// Class for describing unit geometry of TetCubicHmt
class TetCubicHmtUnitElement : public TetLinearLgnUnitElement {
public:
  TetCubicHmtUnitElement() {}
  virtual ~TetCubicHmtUnitElement() {}

  /// return degrees of freedom
  static int dofs() 
    { return 16; } 
};

/// Class for handling of element of type tetrahedron with 
/// cubic hermitian interpolation
template <class T>
class TetCubicHmt : public BasisAddDerivatives<T>, 
                    public TetApprox, 
            public TetGaussian3<double>, 
        public TetSamplingSchemes, 
            public TetCubicHmtUnitElement,
        public TetElementWeights
{
public:
  typedef T value_type;

  TetCubicHmt() {}
  virtual ~TetCubicHmt() {}

  static int polynomial_order() { return 3; }

  template<class VECTOR>
  inline void get_weights(const VECTOR& coords, double *w) const
    { get_cubic_weights(coords,w); }

  template<class VECTOR>
  inline void get_derivate_weights(const VECTOR& coords, double *w) const
    { get_cubic_derivate_weights(coords,w); }
    
  /// get value at parametric coordinate  
  template <class ElemData, class VECTOR>
  T interpolate(const VECTOR &coords, const ElemData &cd) const
  {
    double w[16];
    get_cubic_weights(coords, w); 

    return (T)(w[0]  * cd.node0()                   +
           w[1]  * this->derivs_[cd.node0_index()][0] +
           w[2]  * this->derivs_[cd.node0_index()][1] +
           w[3]  * this->derivs_[cd.node0_index()][2] +
           w[4]  * cd.node1()           +
           w[5]  * this->derivs_[cd.node1_index()][0] +
           w[6]  * this->derivs_[cd.node1_index()][1] +
           w[7]  * this->derivs_[cd.node1_index()][2] +
           w[8]  * cd.node2()           +
           w[9]  * this->derivs_[cd.node2_index()][0] +
           w[10] * this->derivs_[cd.node2_index()][1] +
           w[11] * this->derivs_[cd.node2_index()][2] +
           w[12] * cd.node3()           +
           w[13] * this->derivs_[cd.node3_index()][0] +
           w[14] * this->derivs_[cd.node3_index()][1] +
           w[15] * this->derivs_[cd.node3_index()][2]);
  }
  
  /// get first derivative at parametric coordinate
  template <class ElemData, class VECTOR1, class VECTOR2>
  void derivate(const VECTOR1 &coords, const ElemData &cd, 
        VECTOR2 &derivs) const
  {
    double w[48];
    get_cubic_derivate_weights(coords, w); 
    
    derivs.resize(3);

    derivs[0]= static_cast<typename VECTOR2::value_type>(
         w[0]  * cd.node0()                         +
           w[1]  * this->derivs_[cd.node0_index()][0] +
           w[2]  * this->derivs_[cd.node0_index()][1] +
           w[3]  * this->derivs_[cd.node0_index()][2] +
           w[4]  * cd.node1()           +
           w[5]  * this->derivs_[cd.node1_index()][0] +
           w[6]  * this->derivs_[cd.node1_index()][1] +
           w[7]  * this->derivs_[cd.node1_index()][2] +
           w[8]  * cd.node2()           +
           w[9]  * this->derivs_[cd.node2_index()][0] +
           w[10] * this->derivs_[cd.node2_index()][1] +
           w[11] * this->derivs_[cd.node2_index()][2] +
           w[12] * cd.node3()           +
           w[13] * this->derivs_[cd.node3_index()][0] +
           w[14] * this->derivs_[cd.node3_index()][1] +
           w[15] * this->derivs_[cd.node3_index()][2]);
      
    derivs[1]= static_cast<typename VECTOR2::value_type>(
         w[16]  * cd.node0()                         +
           w[17]  * this->derivs_[cd.node0_index()][0] +
           w[18]  * this->derivs_[cd.node0_index()][1] +
           w[19]  * this->derivs_[cd.node0_index()][2] +
           w[20]  * cd.node1()          +
           w[21]  * this->derivs_[cd.node1_index()][0] +
           w[22]  * this->derivs_[cd.node1_index()][1] +
           w[23]  * this->derivs_[cd.node1_index()][2] +
           w[24]  * cd.node2()          +
           w[25]  * this->derivs_[cd.node2_index()][0] +
           w[26] * this->derivs_[cd.node2_index()][1] +
           w[27] * this->derivs_[cd.node2_index()][2] +
           w[28] * cd.node3()           +
           w[29] * this->derivs_[cd.node3_index()][0] +
           w[30] * this->derivs_[cd.node3_index()][1] +
           w[31] * this->derivs_[cd.node3_index()][2]);
   
     derivs[2]= static_cast<typename VECTOR2::value_type>(
         w[32]  * cd.node0()                         +
           w[33]  * this->derivs_[cd.node0_index()][0] +
           w[34]  * this->derivs_[cd.node0_index()][1] +
           w[35]  * this->derivs_[cd.node0_index()][2] +
           w[36]  * cd.node1()          +
           w[37]  * this->derivs_[cd.node1_index()][0] +
           w[38]  * this->derivs_[cd.node1_index()][1] +
           w[39]  * this->derivs_[cd.node1_index()][2] +
           w[40]  * cd.node2()          +
           w[41]  * this->derivs_[cd.node2_index()][0] +
           w[42] * this->derivs_[cd.node2_index()][1] +
           w[43] * this->derivs_[cd.node2_index()][2] +
           w[44] * cd.node3()           +
           w[45] * this->derivs_[cd.node3_index()][0] +
           w[46] * this->derivs_[cd.node3_index()][1] +
           w[47] * this->derivs_[cd.node3_index()][2]);      
  }
  
  /// get parametric coordinate for value within the element
  template <class ElemData, class VECTOR>
  bool get_coords(VECTOR &coords, const T& value, 
          const ElemData &cd) const  
  {
    TetLocate< TetCubicHmt<T> > CL;
    return CL.get_coords(this, coords, value, cd);
  }
 
  /// get arc length for edge
  template <class ElemData>
  double get_arc_length(const unsigned edge, const ElemData &cd) const  
  {
    return get_arc3d_length<CrvGaussian2<double> >(this, edge, cd);
  }
 
  /// get area
  template <class ElemData>
    double get_area(const unsigned face, const ElemData &cd) const  
  {
    return get_area3<TriGaussian3<double> >(this, face, cd);
  }
 
  /// get volume
  template <class ElemData>
    double get_volume(const ElemData & cd) const  
  {
    return get_volume3(this, cd);
  }

  static  const std::string type_name(int n = -1);

  virtual void io (Piostream& str);

};





template <class T>
const std::string
TetCubicHmt<T>::type_name(int n)
{
  ASSERT((n >= -1) && n <= 1);
  if (n == -1)
  {
    static const std::string name = TypeNameGenerator::make_template_id(type_name(0), type_name(1));
    return name;
  }
  else if (n == 0)
  {
    static const std::string nm("TetCubicHmt");
    return nm;
  } else {
    return find_type_name((T *)0);
  }
}




}}
template <class T>
const TypeDescription* get_type_description(Core::Basis::TetCubicHmt<T> *)
{
  static TypeDescription* td = 0;
  if(!td){
    const TypeDescription *sub = get_type_description((T*)0);
    TypeDescription::td_vec *subs = new TypeDescription::td_vec(1);
    (*subs)[0] = sub;
    td = new TypeDescription("TetCubicHmt", subs, 
      std::string(__FILE__),
      "SCIRun", 
      TypeDescription::BASIS_E);
  }
  return td;
}

const int TETCUBICHMT_VERSION = 1;
template <class T>
void
  Core::Basis::TetCubicHmt<T>::io(Piostream &stream)
{
  stream.begin_class(get_type_description(this)->get_name(),
    TETCUBICHMT_VERSION);
  Pio(stream, this->derivs_);
  stream.end_class();
}
}

#endif