CrvQuadraticLgn.h

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///    @file    CrvQuadraticLgn.h
///    @author  Marty Cole, Frank B. Sachse
///    @date    Nov 30 2004

#ifndef CORE_BASIS_CRVQUADRATICLGN_H
#define CORE_BASIS_CRVQUADRATICLGN_H 1

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

namespace SCIRun {
namespace Core {
namespace Basis {

/// Class for describing unit geometry of CrvLinearLgn 
class SCISHARE CrvQuadraticLgnUnitElement : public CrvLinearLgnUnitElement {
public: 
  static double unit_vertices[3][1]; ///< Parametric coordinates of vertices of unit edge

  CrvQuadraticLgnUnitElement() {}
  virtual ~CrvQuadraticLgnUnitElement() {}
  
  static int number_of_vertices() { return 3; } ///< return number of vertices
  static int dofs() { return 3; } ///< return degrees of freedom
};

 

/// Class for handling of element of type curve with 
/// quadratic lagrangian interpolation
template <class T>
  class CrvQuadraticLgn : public BasisAddNodes<T>, 
                          public CrvApprox, 
              public CrvGaussian2<double>, 
        public CrvSamplingSchemes, 
              public CrvQuadraticLgnUnitElement,
        public CrvElementWeights
{
public:
  typedef T value_type;
             
  CrvQuadraticLgn() {}
  virtual ~CrvQuadraticLgn() {}
  
  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[3];
    get_quadratic_weights(coords, w); 
 
    return T(
        w[0] * cd.node0() +
          w[1] * cd.node1() +
          w[2] * this->nodes_[cd.edge0_index()]);
  }
    
  /// get derivative weight factors at parametric coordinate 


  /// 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[3];
    get_quadratic_derivate_weights(coords, w);

    derivs.resize(1);
    derivs[0] = static_cast<typename VECTOR2::value_type>(
        w[0] * cd.node0() 
      + w[1] * cd.node1() 
      + w[2] * this->nodes_[cd.edge0_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  
  {
    CrvLocate< CrvQuadraticLgn<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_arc1d_length<CrvGaussian2<double> >(this, edge, cd);
  }
 
  /// get area
  template <class ElemData>
    double get_area(const unsigned /* face */, const ElemData & /* cd */) const  
  {
    return 0.;
  }
 
  /// 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
CrvQuadraticLgn<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("CrvQuadraticLgn");
    return nm;
  } else {
    return find_type_name((T *)0);
  }
}





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

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

#endif