transformedindexbasis.hh

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// -*- tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*-
// vi: set et ts=4 sw=2 sts=2:
#ifndef DUNE_FUNCTIONS_FUNCTIONSPACEBASES_TRANSFORMEDINDEXBASIS_HH
#define DUNE_FUNCTIONS_FUNCTIONSPACEBASES_TRANSFORMEDINDEXBASIS_HH
 
#include <tuple>
#include <utility>
 
#include <dune/common/std/apply.hh>
#include <dune/common/hybridutilities.hh>
#include <dune/common/reservedvector.hh>
#include <dune/common/typeutilities.hh>
#include <dune/common/hybridutilities.hh>
 
#include <dune/typetree/compositenode.hh>
#include <dune/typetree/utility.hh>
 
#include <dune/functions/common/staticforloop.hh>
#include <dune/functions/common/type_traits.hh>
#include <dune/functions/common/utility.hh>
#include <dune/functions/functionspacebases/basistags.hh>
#include <dune/functions/functionspacebases/nodes.hh>
#include <dune/functions/functionspacebases/concepts.hh>
#include <dune/functions/functionspacebases/defaultglobalbasis.hh>
 
 
namespace Dune {
namespace Functions {
namespace Experimental {
 
// *****************************************************************************
// *****************************************************************************
 
template<class MI, class RPB, class T>
class TransformedIndexPreBasis
{
  using Transformation = T;
 
  using This = TransformedIndexPreBasis<MI, RPB, T>;
 
public:
 
  using RawPreBasis = RPB;
 
  using GridView = typename RawPreBasis::GridView;
 
  using size_type = std::size_t;
 
  using Node = typename RawPreBasis::Node;
 
  using IndexSet = Impl::DefaultNodeIndexSet<TransformedIndexPreBasis>;
 
  using MultiIndex = MI;
 
  using SizePrefix = Dune::ReservedVector<size_type, MultiIndex::max_size()+1>;
 
  template<class RPB_R, class T_R>
  TransformedIndexPreBasis(RPB_R&& rawPreBasis, T_R&& transformation) :
    rawPreBasis_(std::forward<RPB_R>(rawPreBasis)),
    transformation_(std::forward<T_R>(transformation))
  {}
 
  void initializeIndices()
  {
    rawPreBasis_.initializeIndices();
  }
 
  const GridView& gridView() const
  {
    return rawPreBasis_.gridView();
  }
 
  void update(const GridView& gv)
  {
    rawPreBasis_.update(gv);
  }
 
  Node makeNode() const
  {
    return rawPreBasis_.makeNode();
  }
 
  [[deprecated("Warning: The IndexSet typedef and the makeIndexSet method are deprecated. "\
               "As a replacement use the indices() method of the PreBasis directly.")]]
  IndexSet makeIndexSet() const
  {
    return IndexSet{*this};
  }
 
  size_type size() const
  {
    return size({});
  }
 
  size_type size(const SizePrefix& prefix) const
  {
    return transformation_.size(prefix, rawPreBasis_);
  }
 
  size_type dimension() const
  {
    return transformation_.dimension(rawPreBasis_);
  }
 
  size_type maxNodeSize() const
  {
    return rawPreBasis_.maxNodeSize();
  }
 
  const RawPreBasis& rawPreBasis() const
  {
    return rawPreBasis_;
  }
 
  RawPreBasis& rawPreBasis()
  {
    return rawPreBasis_;
  }
 
  void transformIndex(MultiIndex& multiIndex) const
  {
    transformation_.transformIndex(multiIndex, rawPreBasis_);
  }
 
  template<typename It>
  It indices(const Node& node, It it) const
  {
    Impl::preBasisIndices(rawPreBasis(), node, it);
    for(std::size_t i=0; i<node.size(); ++i)
    {
      transformIndex(*it);
      ++it;
    }
    return it;
  }
 
protected:
  RawPreBasis rawPreBasis_;
  Transformation transformation_;
};
 
 
 
} // end namespace Experimental
 
 
namespace BasisFactory {
namespace Experimental {
 
namespace Imp {
 
template<class RawPreBasisFactory, class Transformation>
class TransformedIndexPreBasisFactory
{
public:
 
  static const std::size_t requiredMultiIndexSize = Transformation::maxIndexSize;
 
  template<class RPBF_R, class T_R>
  TransformedIndexPreBasisFactory(RPBF_R&& rawPreBasisFactory, T_R&& transformation) :
    rawPreBasisFactory_(std::forward<RPBF_R>(rawPreBasisFactory)),
    transformation_(std::forward<T_R>(transformation))
  {}
 
  template<class MultiIndex, class GridView>
  auto makePreBasis(const GridView& gridView) const
  {
    auto rawPreBasis = rawPreBasisFactory_.template makePreBasis<MultiIndex>(gridView);
    using RawPreBasis = std::decay_t<decltype(rawPreBasis)>;
    return Dune::Functions::Experimental::TransformedIndexPreBasis<MultiIndex, RawPreBasis, Transformation>(std::move(rawPreBasis), std::move(transformation_));
  }
 
private:
  RawPreBasisFactory rawPreBasisFactory_;
  Transformation transformation_;
};
 
} // end namespace BasisFactory::Experimental::Imp
 
 
 
template<class RawPreBasisFactory, class Transformation>
auto transformIndices(
    RawPreBasisFactory&& preBasisFactory,
    Transformation&& transformation)
{
  return Imp::TransformedIndexPreBasisFactory<std::decay_t<RawPreBasisFactory>, std::decay_t<Transformation>>(
        std::forward<RawPreBasisFactory>(preBasisFactory),
        std::forward<Transformation>(transformation));
}
 
 
 
template<class IndexTransformation, class SizeImplementation, std::size_t minIS, std::size_t maxIS>
class GenericIndexingTransformation
{
public:
 
  static constexpr std::size_t minIndexSize = minIS;
  static constexpr std::size_t maxIndexSize = maxIS;
 
  template<class IT_R, class SI_R>
  GenericIndexingTransformation(IT_R&& indexTransformation, SI_R&& sizeImplementation) :
    indexTransformation_(std::forward<IT_R>(indexTransformation)),
    sizeImplementation_(std::forward<SI_R>(sizeImplementation))
  {}
 
  template<class MultiIndex, class PreBasis>
  void transformIndex(MultiIndex& multiIndex, const PreBasis& preBasis) const
  {
    indexTransformation_(multiIndex, preBasis);
  }
 
  template<class Prefix, class PreBasis>
  auto size(const Prefix& prefix, const PreBasis& preBasis) const
  {
    return sizeImplementation_(prefix, preBasis);
  }
 
  template<class PreBasis>
  auto dimension(const PreBasis& preBasis) const
  {
    return preBasis.dimension();
  }
 
private:
  IndexTransformation indexTransformation_;
  SizeImplementation sizeImplementation_;
};
 
 
 
template<class IndexTransformation, class SizeImplementation, std::size_t minIndexSize, std::size_t maxIndexSize>
auto indexTransformation(IndexTransformation&& indexTransformation, SizeImplementation&& sizeImplementation, Dune::index_constant<minIndexSize>, Dune::index_constant<maxIndexSize>)
{
  return GenericIndexingTransformation<
    std::decay_t<IndexTransformation>,
    std::decay_t<SizeImplementation>,
    minIndexSize, maxIndexSize>(
        std::forward<IndexTransformation>(indexTransformation),
        std::forward<SizeImplementation>(sizeImplementation));
}
 
 
} // end namespace Experimental
} // end namespace BasisFactory
} // end namespace Functions
} // end namespace Dune
 
 
#endif // DUNE_FUNCTIONS_FUNCTIONSPACEBASES_TRANSFORMEDINDEXBASIS_HH