localcoefficients.hh

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#ifndef DUNE_LOCALFUNCTIONS_BREZZIDOUGLASFORTINMARINI_CUBE_LOCALCOEFFICIENTS_HH
#define DUNE_LOCALFUNCTIONS_BREZZIDOUGLASFORTINMARINI_CUBE_LOCALCOEFFICIENTS_HH
 
#include <cstddef>
#include <vector>
 
#include <dune/common/math.hh>
#include <dune/common/rangeutilities.hh>
#include <dune/common/typetraits.hh>
 
#include <dune/localfunctions/common/localkey.hh>
 
namespace Dune
{
 
  template<class D, class R, unsigned int dim, unsigned int order>
  class BDFMCubeLocalCoefficients
  {
    static constexpr unsigned int interiorDofs = dim*binomial(dim+order-2, order-2);
    static constexpr unsigned int faceDofs     = binomial(dim+order-2, order-1);
 
    static constexpr std::size_t numFaces = 2*dim;
    static constexpr std::size_t numDofs  = numFaces*faceDofs + interiorDofs;
 
    public:
      BDFMCubeLocalCoefficients () : li(numDofs)
      {
        for (auto j : range(numFaces))
          for (auto i : range(faceDofs))
            li[j*faceDofs + i] = LocalKey(j, 1, i);
 
        for (auto i : range(interiorDofs))
          li[numFaces*faceDofs + i] = LocalKey(0, 0, i);
      }
 
      std::size_t size () const { return numDofs; }
 
      auto localKey (std::size_t i) const -> const LocalKey& { return li[i]; }
 
    private:
      std::vector<LocalKey> li;
  };
 
  template<class D, class R, unsigned int dim, unsigned int order>
  constexpr unsigned int BDFMCubeLocalCoefficients<D, R, dim, order>::interiorDofs;
 
  template<class D, class R, unsigned int dim, unsigned int order>
  constexpr unsigned int BDFMCubeLocalCoefficients<D, R, dim, order>::faceDofs;
 
  template<class D, class R, unsigned int dim, unsigned int order>
  constexpr std::size_t BDFMCubeLocalCoefficients<D, R, dim, order>::numFaces;
 
  // template<class D, class R, unsigned int dim, unsigned int order>
  // constexpr std::size_t BDFMCubeLocalCoefficients<D, R, dim, order>::numDofs;
 
 
#ifndef DOXYGEN
  template<class D, class R, unsigned int dim>
  class BDFMCubeLocalCoefficients<D, R, dim, 0>
  {
    static_assert( AlwaysFalse<D>::value,
                   "`BDFMCubeLocalCoefficients` not defined for order 0." );
  };
#endif // #ifndef DOXYGEN
 
} // namespace Dune
 
#endif // #ifndef DUNE_LOCALFUNCTIONS_BREZZIDOUGLASFORTINMARINI_CUBE_LOCALCOEFFICIENTS_HH