TriCubicHmt.h

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//  Copyright (c) 2009 Scientific Computing and Imaging Institute,
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///   @file    TriCubicHmt.h
///   @author  Martin Cole, Frank B. Sachse
///   @date    Oct 24 2005

#ifndef CORE_BASIS_TRICUBICHMT_H
#define CORE_BASIS_TRICUBICHMT_H 1

#include <Core/Basis/TriLinearLgn.h>

#include <Core/Basis/share.h>

namespace SCIRun {
namespace Core {
namespace Basis {

/// Class for describing unit geometry of TriCubicHmt

class TriCubicHmtUnitElement : public TriLinearLgnUnitElement {
  public:

  TriCubicHmtUnitElement() {}
  virtual ~TriCubicHmtUnitElement() {}

  static int dofs() 
    { return 12; } 
};

/// Class for handling of element of type triangle with 
/// cubic hermitian interpolation
template <class T>
class TriCubicHmt : public BasisAddDerivatives<T>, 
                      public TriApprox, 
              public TriGaussian3<double>, 
          public TriSamplingSchemes,
              public TriCubicHmtUnitElement,
          public TriElementWeights
{
public:
  typedef T value_type;

  TriCubicHmt() {}
  virtual ~TriCubicHmt() {}
    
  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[10];
    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]);
  }
  
  /// 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[20];
    get_cubic_derivate_weights(coords, w); 

    derivs.resize(2);
    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]);

    derivs[1]=static_cast<typename VECTOR2::value_type>(w[12]  * cd.node0()
           +w[13]  * this->derivs_[cd.node0_index()][0]
           +w[14]  * this->derivs_[cd.node0_index()][1]
           +w[15]  * this->derivs_[cd.node0_index()][2]
           +w[16]  * cd.node1()
           +w[17]  * this->derivs_[cd.node1_index()][0]
           +w[18]  * this->derivs_[cd.node1_index()][1]
           +w[19]  * this->derivs_[cd.node1_index()][2]
           +w[20]  * cd.node2()
           +w[21]  * this->derivs_[cd.node2_index()][0]
           +w[22] * this->derivs_[cd.node2_index()][1]
           +w[23] * this->derivs_[cd.node2_index()][2]);
  }
  
  /// get the parametric coordinate for value within the element.
  template <class ElemData, class VECTOR>
  bool get_coords(VECTOR &coords, const T& value, 
          const ElemData &cd) const  
  {
    TriLocate< TriCubicHmt<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_arc2d_length<CrvGaussian2<double> >(this, edge, cd);
  }
 
  /// get area
  template <class ElemData>
    double get_area(const unsigned face, const ElemData &cd) const  
  {
    return get_area2<TriGaussian3<double> >(this, face, cd);
  }
 
  /// get volume
  template <class ElemData>
    double get_volume(const ElemData & /* cd */) const  
  {
    return 0.;
  }
  

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

  virtual void io (Piostream& str);

};





template <class T>
const std::string
TriCubicHmt<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("TriCubicHmt");
    return nm;
  } else {
    return find_type_name((T *)0);
  }
}

}}

template <class T>
const TypeDescription* get_type_description(Core::Basis::TriCubicHmt<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("TriCubicHmt", subs, 
      std::string(__FILE__),
      "SCIRun", 
      TypeDescription::BASIS_E);
  }
  return td;
}
  
  const int TRICUBICHMT_VERSION = 1;
  template <class T>
  void
  Core::Basis::TriCubicHmt<T>::io(Piostream &stream)
  {
    stream.begin_class(get_type_description(this)->get_name(),
                       TRICUBICHMT_VERSION);
    Pio(stream, this->derivs_);
    stream.end_class();
  }
}

#endif