indexaccess.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_COMMON_INDEX_ACCESS_HH
#define DUNE_FUNCTIONS_COMMON_INDEX_ACCESS_HH
 
 
#include <utility>
#include <type_traits>
 
#include <dune/common/typetraits.hh>
#include <dune/common/concept.hh>
#include <dune/common/hybridutilities.hh>
 
#include <dune/functions/common/utility.hh>
 
 
 
namespace Dune {
namespace Functions {
 
 
namespace Imp {
 
namespace Concept {
 
template<class size_type>
struct HasDynamicIndexAccess
{
  template<class C>
  auto require(C&& c) -> decltype(
    c[std::declval<size_type>()]
  );
};
 
struct HasStaticIndexAccess
{
  template<class C>
  auto require(C&& c) -> decltype(
    c[Dune::Indices::_0]
  );
};
 
} // namespace Concept
 
} // namespace Imp
 
 
 
template<class C, class I, class F,
  typename std::enable_if< Dune::models<Imp::Concept::HasDynamicIndexAccess<I>, C>(), int>::type = 0>
auto hybridIndexAccess(C&& c, const I& i, F&& f)
  -> decltype(f(c[i]))
{
  return f(c[i]);
}
 
template<class C, class I, class F,
  typename std::enable_if< not Dune::models<Imp::Concept::HasDynamicIndexAccess<I>, C>(), int>::type = 0>
decltype(auto) hybridIndexAccess(C&& c, const I& i, F&& f)
{
  using Size = decltype(Hybrid::size(c));
  return Hybrid::switchCases(std::make_index_sequence<Size::value>(), i,
      [&](const auto& ii) -> decltype(auto){
        return f(c[ii]);
      }, [&]() -> decltype(auto){
        return f(c[Dune::Indices::_0]);
      });
}
 
 
namespace Imp {
 
  template<class Index, std::size_t offset=1>
  class ShiftedDynamicMultiIndex
  {
  public:
    ShiftedDynamicMultiIndex(const Index& index) :
      index_(index)
    {}
 
    std::size_t operator[](std::size_t position) const
    {
      if (position<size())
        return index_[position+offset];
      else
        return 0;
    }
 
    ShiftedDynamicMultiIndex<Index, offset+1> pop() const
    {
      return {index_};
    }
 
    std::size_t size() const
    {
      if (offset < index_.size())
        return index_.size() - offset;
      else
        return 0;
    }
 
  private:
    const Index& index_;
  };
 
  template<class Index, std::size_t offset=1>
  class ShiftedStaticMultiIndex
  {
  public:
    ShiftedStaticMultiIndex(const Index& index) :
      index_(index)
    {}
 
    template<std::size_t i>
    auto operator[](Dune::index_constant<i>) const
    {
      if constexpr (i<size()) {
        return index_[Dune::index_constant<i+offset>{}];
      } else {
        return Dune::index_constant<0>{};
      }
    }
 
    ShiftedStaticMultiIndex<Index, offset+1> pop() const
    {
      return {index_};
    }
 
    static constexpr std::size_t size()
    {
      auto fullSize = decltype(Hybrid::size(std::declval<Index>()))::value;
      if (offset < fullSize)
        return fullSize - offset;
      else
        return 0;
    }
 
  private:
    const Index& index_;
  };
 
  template<std::size_t offset, class Index>
  ShiftedDynamicMultiIndex<Index, offset> shiftedDynamicMultiIndex(const Index& index)
  {
    return {index};
  }
 
  template<std::size_t offset, class Index>
  ShiftedStaticMultiIndex<Index, offset> shiftedStaticMultiIndex(const Index& index)
  {
    return {index};
  }
 
} // namespace Imp
 
 
 
 
namespace Imp {
 
template<class Result, class Index>
struct MultiIndexResolver
{
  MultiIndexResolver(const Index& index) :
    index_(index)
  {}
 
  template<class C,
    typename std::enable_if<not std::is_convertible<C&, Result>::value, int>::type = 0>
  Result operator()(C&& c)
  {
    auto&& subIndex = Imp::shiftedDynamicMultiIndex<1>(index_);
    auto&& subIndexResolver = MultiIndexResolver<Result, decltype(subIndex)>(subIndex);
    return (Result)(hybridIndexAccess(c, index_[Dune::Indices::_0], subIndexResolver));
  }
 
  template<class C,
    typename std::enable_if<std::is_convertible<C&, Result>::value, int>::type = 0>
  Result operator()(C&& c)
  {
    return (Result)(std::forward<C>(c));
  }
 
  const Index& index_;
};
 
} // namespace Imp
 
 
 
template<class Result, class C, class MultiIndex>
Result hybridMultiIndexAccess(C&& c, const MultiIndex& index)
{
 
  Imp::MultiIndexResolver<Result, MultiIndex> multiIndexResolver(index);
  return multiIndexResolver(c);
}
 
 
 
 
 
 
namespace Imp {
 
  template<class C, class MultiIndex, class IsFinal>
  constexpr decltype(auto) resolveDynamicMultiIndex(C&& c, const MultiIndex& multiIndex, const IsFinal& isFinal)
  {
    // If c is already considered final simply return it,
    // else resolve the next multiIndex entry.
    return Hybrid::ifElse(isFinal(c), [&, c = forwardCapture(std::forward<C>(c))](auto) -> decltype(auto) {
      assert(multiIndex.size() == 0);
      return c.forward();
    }, [&](auto) -> decltype(auto) {
      auto hasDynamicAccess = callableCheck([](auto&& cc) -> std::void_t<decltype(cc[0])> {});
 
      // Split multiIndex into first entry and remaining ones.
      auto i = multiIndex[0];
      auto tail = multiIndex.pop();
 
      // Resolve first multiIndex entry by c[multiIndex[0]] and
      // continue resolving with the remaining remaining ones.
      // If c has a dynamic operator[] this is straight forward.
      // Else the dynamic multiIndex[0] has to be translated into
      // a static one using hybridIndexAccess.
      return Hybrid::ifElse(hasDynamicAccess(c), [&](auto id) -> decltype(auto) {
        return Imp::resolveDynamicMultiIndex(id(c)[i], tail, isFinal);
      }, [&](auto id) -> decltype(auto) {
        // auto indexRange = range(Hybrid::size(id(c)));
        auto indexRange = typename decltype(range(Hybrid::size(id(c))))::integer_sequence();
        return Hybrid::switchCases(indexRange, i, [&](auto static_i) -> decltype(auto){
          // Do rescursion with static version of i
          return Imp::resolveDynamicMultiIndex(id(c)[static_i], tail, isFinal);
        }, [&]() -> decltype(auto){
          // As fallback we use c[0] this is needed, because there must be one branch that matches.
          return Imp::resolveDynamicMultiIndex(id(c)[Dune::Indices::_0], tail, isFinal);
        });
      });
    });
  }
 
  template<class C, class MultiIndex>
  constexpr decltype(auto) resolveStaticMultiIndex(C&& c, const MultiIndex& multiIndex)
  {
    auto isExhausted = Hybrid::equals(Hybrid::size(multiIndex), Dune::Indices::_0);
    return Hybrid::ifElse(isExhausted, [&, c = forwardCapture(std::forward<C>(c))](auto) -> decltype(auto) {
      return c.forward();
    }, [&](auto id) -> decltype(auto) {
      auto head = multiIndex[Dune::Indices::_0];
      auto tail = multiIndex.pop();
 
      return Imp::resolveStaticMultiIndex(id(c)[head], tail);
    });
  }
 
} // namespace Imp
 
 
 
template<class C, class MultiIndex, class IsFinal>
constexpr decltype(auto) resolveDynamicMultiIndex(C&& c, const MultiIndex& multiIndex, const IsFinal& isFinal)
{
  return Imp::resolveDynamicMultiIndex(std::forward<C>(c), Imp::shiftedDynamicMultiIndex<0>(multiIndex), isFinal);
}
 
template<class C, class MultiIndex>
constexpr decltype(auto) resolveDynamicMultiIndex(C&& c, const MultiIndex& multiIndex)
{
  auto hasNoIndexAccess = negatePredicate(callableCheck([](auto&& cc) -> std::void_t<decltype(cc[Dune::Indices::_0])> {}));
  return Imp::resolveDynamicMultiIndex(std::forward<C>(c), Imp::shiftedDynamicMultiIndex<0>(multiIndex), hasNoIndexAccess);
}
 
template<class C, class MultiIndex>
constexpr decltype(auto) resolveStaticMultiIndex(C&& c, const MultiIndex& multiIndex)
{
  return Imp::resolveStaticMultiIndex(std::forward<C>(c), Imp::shiftedStaticMultiIndex<0>(multiIndex));
}
 
 
 
} // namespace Dune::Functions
} // namespace Dune
 
 
 
#endif // DUNE_FUNCTIONS_COMMON_INDEX_ACCESS_HH