// -*- tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*-
// vi: set ts=4 sw=2 et sts=2:
#ifndef DUNE_HIERARCHICAL_PRISM_P2_LOCALINTERPOLATION_HH
#define DUNE_HIERARCHICAL_PRISM_P2_LOCALINTERPOLATION_HH

#include <vector>

namespace Dune 
{
    /**
       \tparam LB The LocalBasis implementation
    */
  template<class LB>
  class HierarchicalPrismP2LocalInterpolation 
  {
  public:

    template<typename F, typename C>
    void interpolate (const F& f, std::vector<C>& out) const
    {
      typename LB::Traits::DomainType x;
      typename LB::Traits::RangeType y;
      out.resize(18);
      //dune_static_assert(LB::Traits::dimDomain ==3, "LocalInterpolation for HierarchicalPrismP2 finite elements"
       //   " is only implemented for dimDomain ==3!");

    
          //First the  vertex dofs
          x[0] = 0.0;    x[1] = 0.0;     x[2] = 0.0;    f.evaluate(x, y);    out[0] = y;
          x[0] = 1.0;    x[1] = 0.0;     x[2] = 0.0;    f.evaluate(x, y);    out[1] = y;
          x[0] = 0.0;    x[1] = 1.0;     x[2] = 0.0;    f.evaluate(x, y);    out[2] = y;
          x[0] = 0.0;    x[1] = 0.0;     x[2] = 1.0;    f.evaluate(x, y);    out[3] = y;
          x[0] = 1.0;    x[1] = 0.0;     x[2] = 1.0;    f.evaluate(x, y);    out[4] = y;
          x[0] = 0.0;    x[1] = 1.0;     x[2] = 1.0;    f.evaluate(x, y);    out[5] = y;


          // Then: the 9 edge dofs and the 3 face dofs
          x[0] = 0.0;    x[1] = 0.0;     x[2] = 0.5;    f.evaluate(x, y);
          out[6] = y - 0.5*(out[0] + out[3]);

          x[0] = 1.0;    x[1] = 0.0;     x[2] = 0.5;    f.evaluate(x, y);
          out[7] = y - 0.5*(out[1] + out[4]);

          x[0] = 0.0;    x[1] = 1.0;     x[2] = 0.5;    f.evaluate(x, y);
          out[8] = y - 0.5*(out[2] + out[5]);

          x[0] = 0.5;    x[1] = 0.0;     x[2] = 0.0;    f.evaluate(x, y);
          out[9] = y - 0.5*(out[0] + out[1]);

          x[0] = 0.0;    x[1] = 0.5;     x[2] = 0.0;    f.evaluate(x, y);
          out[10] = y - 0.5*(out[2] + out[0]);

          x[0] = 0.5;    x[1] = 0.5;     x[2] = 0.0;    f.evaluate(x, y);
          out[11] = y - 0.5*(out[2] + out[1]);
         
          x[0] = 0.5;    x[1] = 0.0;     x[2] = 1.0;    f.evaluate(x, y);
          out[12] = y - 0.5*(out[3] + out[4]);
                
          x[0] = 0.0;    x[1] = 0.5;     x[2] = 1.0;    f.evaluate(x, y);
          out[13] = y - 0.5*(out[3] + out[5]);
             
          x[0] = 0.5;    x[1] = 0.5;     x[2] = 1.0;    f.evaluate(x, y);
          out[14] = y - 0.5*(out[4] + out[5]);
           
         
          //faces
          x[0] = 0.5;    x[1] = 0.0;     x[2] = 0.5;    f.evaluate(x, y);
          out[15] = y - 0.25*(out[4] + out[1] + out[0] +  out[3] );

          x[0] = 0.0;    x[1] = 0.5;     x[2] = 0.5;    f.evaluate(x, y);
          out[16] = y - 0.25*(out[2] + out[0] + out[3] + out[5] );

          x[0] = 0.5;    x[1] = 0.5;     x[2] = 0.5;    f.evaluate(x, y);
          out[17] = y - 0.25*(out[2] + out[1] + out[4] + out[5] );

}


  };
}

#endif
