QuadBicubicHmt.h

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///    @file    QuadBicubicHmt.h
///    @author  Martin Cole, Frank B. Sachse
///    @date    Dec 04 2004

#ifndef CORE_BASIS_QUADBICUBICHMT_H
#define CORE_BASIS_QUADBICUBICHMT_H 1

#include <Core/Basis/QuadBilinearLgn.h>

namespace SCIRun {
namespace Core {
namespace Basis {

/// Class for describing unit geometry of QuadBicubicHmt
class QuadBicubicHmtUnitElement : public QuadBilinearLgnUnitElement {
public:
  QuadBicubicHmtUnitElement() {}
  virtual ~QuadBicubicHmtUnitElement() {}

  static int dofs() { return 12; } ///< return degrees of freedom
};


/// Class for handling of element of type quad with 
/// bicubic hermitian interpolation
template <class T>
class QuadBicubicHmt : public BasisAddDerivatives<T>, 
                       public QuadApprox, 
               public QuadGaussian3<double>, 
           public QuadSamplingSchemes, 
               public QuadBicubicHmtUnitElement,
           public QuadElementWeights
{
public:
  typedef T value_type;

  QuadBicubicHmt() {}
  virtual ~QuadBicubicHmt() {}
  
  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[12];
    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]  * cd.node1()           +
           w[4]  * this->derivs_[cd.node1_index()][0] +
           w[5]  * this->derivs_[cd.node1_index()][1] +
           w[6]  * cd.node2()           +
           w[7]  * this->derivs_[cd.node2_index()][0] +
           w[8]  * this->derivs_[cd.node2_index()][1] +
           w[9]  * cd.node3()           +
           w[10] * this->derivs_[cd.node3_index()][0] +
           w[11] * this->derivs_[cd.node3_index()][1]);
  }
  
  /// 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[24];
    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]*cd.node1() +
        w[4]*this->derivs_[cd.node1_index()][0] +
        w[5]*this->derivs_[cd.node1_index()][1] +
        w[6]*cd.node2() +
        w[7]*this->derivs_[cd.node2_index()][0] +
        w[8]*this->derivs_[cd.node2_index()][1] +
        w[9]*cd.node3() +
        w[10]*this->derivs_[cd.node3_index()][0] +
        w[11]*this->derivs_[cd.node3_index()][1]);

    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]*cd.node1() +
        w[16]*this->derivs_[cd.node1_index()][0] +
        w[17]*this->derivs_[cd.node1_index()][1] +
        w[18]*cd.node2() +
        w[19]*this->derivs_[cd.node2_index()][0] +
        w[20]*this->derivs_[cd.node2_index()][1] +
        w[21]*cd.node3() +
        w[22]*this->derivs_[cd.node3_index()][0] +
        w[23]*this->derivs_[cd.node3_index()][1]);
  }
  
  /// 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
  {
    QuadLocate< QuadBicubicHmt<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<QuadGaussian3<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
QuadBicubicHmt<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("QuadBicubicHmt");
    return nm;
  } else {
    return find_type_name((T *)0);
  }
}





}}

template <class T>
const TypeDescription* get_type_description(Core::Basis::QuadBicubicHmt<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("QuadBicubicHmt", subs, 
      std::string(__FILE__),
      "SCIRun", 
      TypeDescription::BASIS_E);
  }
  return td;
}

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

#endif