HexTriquadraticLgn.h

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//  Copyright (c) 2009 Scientific Computing and Imaging Institute,
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///    @file    HexTriquadraticLgn.h
///    @author  Martin Cole, Frank B. Sachse
///    @date    Dec 3 2004

#ifndef CORE_BASIS_HEXTRIQUADRATICLGN_H
#define CORE_BASIS_HEXTRIQUADRATICLGN_H 1

#include <Core/Basis/HexTrilinearLgn.h>

#include <Core/Basis/share.h>

namespace SCIRun {
namespace Core {
namespace Basis {

/// Class for describing unit geometry of HexTriquadraticLgn 
  class SCISHARE HexTriquadraticLgnUnitElement : public HexTrilinearLgnUnitElement {
public:
  static double unit_vertices[20][3]; ///< Parametric coordinates of vertices of unit edge 
 
  HexTriquadraticLgnUnitElement() {}
  virtual ~HexTriquadraticLgnUnitElement() {}
  
  static int number_of_vertices() 
    { return 20; } ///< return number of vertices
  static int dofs() 
    { return 20; } ///< return degrees of freedom
};


/// Class for handling of element of type hexahedron with 
/// triquadratic lagrangian interpolation
template <class T>
class HexTriquadraticLgn : public BasisAddNodes<T>, 
                           public HexApprox, 
               public HexGaussian3<double>, 
         public HexSamplingSchemes, 
               public HexTriquadraticLgnUnitElement,
         public HexElementWeights
{
public:
  typedef T value_type;

  HexTriquadraticLgn() {}
  virtual ~HexTriquadraticLgn() {}

  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[20]; 
    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]  * cd.node4() +
           w[5]  * cd.node5() +
           w[6]  * cd.node6() +
           w[7]  * cd.node7() +
           w[8]  * this->nodes_[cd.edge0_index()] +
           w[9]  * this->nodes_[cd.edge1_index()] +
           w[10] * this->nodes_[cd.edge2_index()] +
           w[11] * this->nodes_[cd.edge3_index()] +
           w[12] * this->nodes_[cd.edge4_index()] +
           w[13] * this->nodes_[cd.edge5_index()] +
           w[14] * this->nodes_[cd.edge6_index()] +
           w[15] * this->nodes_[cd.edge7_index()] +
           w[16] * this->nodes_[cd.edge8_index()] +
           w[17] * this->nodes_[cd.edge9_index()] +
           w[18] * this->nodes_[cd.edge10_index()] +
           w[19] * this->nodes_[cd.edge11_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[60]; 
    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[2]  * cd.node2() +
           w[3]  * cd.node3() +
           w[4]  * cd.node4() +
           w[5]  * cd.node5() +
           w[6]  * cd.node6() +
           w[7]  * cd.node7() +
           w[8]  * this->nodes_[cd.edge0_index()] +
           w[9]  * this->nodes_[cd.edge1_index()] +
           w[10] * this->nodes_[cd.edge2_index()] +
           w[11] * this->nodes_[cd.edge3_index()] +
           w[12] * this->nodes_[cd.edge4_index()] +
           w[13] * this->nodes_[cd.edge5_index()] +
           w[14] * this->nodes_[cd.edge6_index()] +
           w[15] * this->nodes_[cd.edge7_index()] +
           w[16] * this->nodes_[cd.edge8_index()] +
           w[17] * this->nodes_[cd.edge9_index()] +
           w[18] * this->nodes_[cd.edge10_index()] +
           w[19] * this->nodes_[cd.edge11_index()]);
             
    derivs[1]=static_cast<typename VECTOR2::value_type>(
         w[20]  * cd.node0() +
           w[21]  * cd.node1() +
           w[22]  * cd.node2() +
           w[23]  * cd.node3() +
           w[24]  * cd.node4() +
           w[25]  * cd.node5() +
           w[26]  * cd.node6() +
           w[27]  * cd.node7() +
           w[28]  * this->nodes_[cd.edge0_index()] +
           w[29]  * this->nodes_[cd.edge1_index()] +
           w[30] * this->nodes_[cd.edge2_index()] +
           w[31] * this->nodes_[cd.edge3_index()] +
           w[32] * this->nodes_[cd.edge4_index()] +
           w[33] * this->nodes_[cd.edge5_index()] +
           w[34] * this->nodes_[cd.edge6_index()] +
           w[35] * this->nodes_[cd.edge7_index()] +
           w[36] * this->nodes_[cd.edge8_index()] +
           w[37] * this->nodes_[cd.edge9_index()] +
           w[38] * this->nodes_[cd.edge10_index()] +
           w[39] * this->nodes_[cd.edge11_index()]);
    
    derivs[2]=static_cast<typename VECTOR2::value_type>(
         w[40]  * cd.node0() +
           w[41]  * cd.node1() +
           w[42]  * cd.node2() +
           w[43]  * cd.node3() +
           w[44]  * cd.node4() +
           w[45]  * cd.node5() +
           w[46]  * cd.node6() +
           w[47]  * cd.node7() +
           w[48]  * this->nodes_[cd.edge0_index()] +
           w[49]  * this->nodes_[cd.edge1_index()] +
           w[50] * this->nodes_[cd.edge2_index()] +
           w[51] * this->nodes_[cd.edge3_index()] +
           w[52] * this->nodes_[cd.edge4_index()] +
           w[53] * this->nodes_[cd.edge5_index()] +
           w[54] * this->nodes_[cd.edge6_index()] +
           w[55] * this->nodes_[cd.edge7_index()] +
           w[56] * this->nodes_[cd.edge8_index()] +
           w[57] * this->nodes_[cd.edge9_index()] +
           w[58] * this->nodes_[cd.edge10_index()] +
           w[59] * this->nodes_[cd.edge11_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  
  {
    HexLocate< HexTriquadraticLgn<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<QuadGaussian3<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
HexTriquadraticLgn<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("HexTriquadraticLgn");
    return nm;
  } else {
    return find_type_name((T *)0);
  }
}




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

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

#endif