TetQuadraticLgn.h

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//  Copyright (c) 2009 Scientific Computing and Imaging Institute,
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///   @file    TetQuadraticLgn.h
///   @author  Martin Cole, Frank B. Sachse
///   @date    Dec 04 2004

#ifndef CORE_BASIS_TETQUADRATICLGN_H
#define CORE_BASIS_TETQUADRATICLGN_H 1

#include <Core/Basis/TetLinearLgn.h>
#include <Core/Basis/share.h>

namespace SCIRun {
namespace Core {
namespace Basis {

/// Class for describing unit geometry of TetQuadraticLgn 
class SCISHARE TetQuadraticLgnUnitElement : public TetLinearLgnUnitElement {
  public:
    static double unit_vertices[10][3]; ///< Parametric coordinates of vertices of unit edge
    
    TetQuadraticLgnUnitElement() {}
    virtual ~TetQuadraticLgnUnitElement() {}
     
    /// return number of vertices 
    static int number_of_vertices() 
      { return 10; } 
      
    ///< return degrees of freedom
    static int dofs() 
      { return 10; } 
};


/// Class for handling of element of type tetrahedron with 
/// quadratic lagrangian interpolation
template <class T>
class TetQuadraticLgn : public BasisAddNodes<T>, 
                        public TetApprox, 
            public TetGaussian3<double>, 
      public TetSamplingSchemes, 
            public TetQuadraticLgnUnitElement,
      public TetElementWeights 
{
public:
  typedef T value_type;

  TetQuadraticLgn() {}
  virtual ~TetQuadraticLgn() {}

  static int polynomial_order() { return 2; }

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

  template<class VECTOR>
  inline void get_derivate_weights(const VECTOR& coords, double *w) const
    { get_quadratic_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_quadratic_weights(coords, w); 

    return (T)(w[0] * cd.node0() +
           w[1] * cd.node1() +
           w[2] * cd.node2() +
           w[3] * cd.node3() +
           w[4] * this->nodes_[cd.edge0_index()] +
           w[5] * this->nodes_[cd.edge1_index()] +
           w[6] * this->nodes_[cd.edge2_index()] +
           w[7] * this->nodes_[cd.edge3_index()] +
           w[8] * this->nodes_[cd.edge4_index()] +
           w[9] * this->nodes_[cd.edge5_index()]);
  }
 
  /// 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[30];
    get_quadratic_derivate_weights(coords, w);
    
    derivs.resize(3);

    derivs[0]=static_cast<typename VECTOR2::value_type>(
    w[0]*cd.node0() +
        w[1]*cd.node1() +
        w[4]*this->nodes_[cd.edge0_index()] +
        w[5]*this->nodes_[cd.edge1_index()] +
        w[6]*this->nodes_[cd.edge2_index()] +
        w[7]*this->nodes_[cd.edge3_index()] +
        w[8]*this->nodes_[cd.edge4_index()]);
      
    derivs[1]=static_cast<typename VECTOR2::value_type>(
    w[10]*cd.node0() +
        w[12]*cd.node2() +
        w[14]*this->nodes_[cd.edge0_index()] +
        w[15]*this->nodes_[cd.edge1_index()] +
        w[16]*this->nodes_[cd.edge2_index()] +
        w[17]*this->nodes_[cd.edge3_index()] +
        w[19]*this->nodes_[cd.edge5_index()]);
      
    derivs[2]=static_cast<typename VECTOR2::value_type>(
    w[20]*cd.node0() +
        w[23]*cd.node3() +
        w[24]*this->nodes_[cd.edge0_index()] +
        w[26]*this->nodes_[cd.edge2_index()] +
        w[27]*this->nodes_[cd.edge3_index()] +
        w[28]*this->nodes_[cd.edge4_index()] +
        w[29]*this->nodes_[cd.edge5_index()]);
  }
  
  /// 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< TetQuadraticLgn<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
TetQuadraticLgn<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("TetQuadraticLgn");
    return nm;
  } else {
    return find_type_name((T *)0);
  }
}




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

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

}

#endif