dof_traits.hpp

// FEAT3: Finite Element Analysis Toolbox, Version 3
// Copyright (C) 2010 by Stefan Turek & the FEAT group
// FEAT3 is released under the GNU General Public License version 3,
// see the file 'copyright.txt' in the top level directory for details.
 
#pragma once
 
// includes, FEAT
#include <kernel/shape.hpp>
 
namespace FEAT
{
  namespace Space
  {
    namespace Hermite3
    {
      template<typename Shape_, int dim_>
      struct DofTraits
      {
        static constexpr int count = 0;
      };
 
      template<int shape_dim_>
      struct DofTraits<Shape::Simplex<shape_dim_>, 0>
      {
        static constexpr int count = shape_dim_ + 1;
      };
 
      template<int shape_dim_>
      struct DofTraits<Shape::Simplex<shape_dim_>, shape_dim_>
      {
        static constexpr int count = MetaMath::Binomial<shape_dim_ + 3, 3>::value - (shape_dim_ + 1)*(shape_dim_ + 1);
      };
 
      template<int shape_dim_>
      struct DofTraits<Shape::Hypercube<shape_dim_>, 0>
      {
        static constexpr int count = shape_dim_ + 1;
      };
 
      template<int shape_dim_>
      struct DofTraits<Shape::Hypercube<shape_dim_>, shape_dim_>
      {
        static constexpr int count = ((1 << shape_dim_) - (shape_dim_ + 1)) * (1 << shape_dim_);
      };
    } // namespace Hermite3
  } // namespace Space
} // namespace FEAT