orthonormalbasis.hh

// -*- tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*-
// vi: set et ts=4 sw=2 sts=2:
#ifndef DUNE_ORTHONORMALBASIS_HH
#define DUNE_ORTHONORMALBASIS_HH
 
#include <sstream>
 
#include <dune/geometry/topologyfactory.hh>
 
#include <dune/localfunctions/utility/polynomialbasis.hh>
#include <dune/localfunctions/orthonormal/orthonormalcompute.hh>
 
namespace Dune
{
 
  // OrthonormalBasisFactory
  // -----------------------
  template< int dim, class SF, class CF = typename ComputeField< SF, 512 >::Type >
  struct OrthonormalBasisFactory;
  template< int dim, class SF, class CF >
  struct OrthonormalBasisFactoryTraits
  {
    typedef Dune::MonomialBasisProvider< dim, SF > MonomialBasisProviderType;
    typedef typename MonomialBasisProviderType::Object MonomialBasisType;
    typedef SparseCoeffMatrix< SF, 1 > CoefficientMatrix;
    typedef StandardEvaluator< MonomialBasisType > Evaluator;
    typedef PolynomialBasis< Evaluator, CoefficientMatrix > Basis;
 
    static const unsigned int dimension = dim;
    typedef unsigned int Key;
    typedef const Basis Object;
    typedef OrthonormalBasisFactory<dim,SF,CF> Factory;
  };
 
  template< int dim, class SF, class CF >
  struct OrthonormalBasisFactory :
    public TopologyFactory< OrthonormalBasisFactoryTraits<dim,SF,CF> >
  {
    static const unsigned int dimension = dim;
    typedef SF StorageField;
    typedef CF ComputeField;
    typedef OrthonormalBasisFactoryTraits<dim,SF,CF> Traits;
 
    typedef typename Traits::Key Key;
    typedef typename Traits::Object Object;
 
    template <unsigned int dd, class FF>
    struct EvaluationBasisFactory
    {
      typedef MonomialBasisProvider<dd,FF> Type;
    };
 
    typedef typename EvaluationBasisFactory< dimension, StorageField >::Type MonomialBasisProviderType;
    typedef typename MonomialBasisProviderType::Object MonomialBasisType;
 
    typedef SparseCoeffMatrix< StorageField, 1 > CoefficientMatrix;
    typedef StandardEvaluator< MonomialBasisType > Evaluator;
    typedef PolynomialBasis< Evaluator, CoefficientMatrix > Basis;
 
    typedef typename Impl::SimplexTopology< dim >::type SimplexTopology;
 
    template< class Topology >
    static Object *createObject ( const unsigned int order )
    {
      const typename Traits::MonomialBasisType &monomialBasis = *Traits::MonomialBasisProviderType::template create< SimplexTopology >( order );
 
      static typename Traits::CoefficientMatrix _coeffs;
      if( _coeffs.size() <= monomialBasis.size() )
      {
        ONBCompute::ONBMatrix< Topology, ComputeField > matrix( order );
        _coeffs.fill( matrix );
      }
 
      return new Basis( monomialBasis, _coeffs, monomialBasis.size() );
    }
  };
 
}
 
#endif // #ifndef DUNE_ORTHONORMALBASIS_HH