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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2013 Christian Seiler <christian@iwakd.de>
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
#ifndef EIGEN_CXX11_TENSORSYMMETRY_STATICSYMMETRY_H
#define EIGEN_CXX11_TENSORSYMMETRY_STATICSYMMETRY_H
namespace Eigen {
namespace internal {
template<typename list> struct tensor_static_symgroup_permutate;
template<int... nn>
struct tensor_static_symgroup_permutate<numeric_list<int, nn...>>
{
constexpr static std::size_t N = sizeof...(nn);
template<typename T>
constexpr static inline std::array<T, N> run(const std::array<T, N>& indices)
{
return {{indices[nn]...}};
}
};
template<typename indices_, int flags_>
struct tensor_static_symgroup_element
{
typedef indices_ indices;
constexpr static int flags = flags_;
};
template<typename Gen, int N>
struct tensor_static_symgroup_element_ctor
{
typedef tensor_static_symgroup_element<
typename gen_numeric_list_swapped_pair<int, N, Gen::One, Gen::Two>::type,
Gen::Flags
> type;
};
template<int N>
struct tensor_static_symgroup_identity_ctor
{
typedef tensor_static_symgroup_element<
typename gen_numeric_list<int, N>::type,
0
> type;
};
template<typename iib>
struct tensor_static_symgroup_multiply_helper
{
template<int... iia>
constexpr static inline numeric_list<int, get<iia, iib>::value...> helper(numeric_list<int, iia...>) {
return numeric_list<int, get<iia, iib>::value...>();
}
};
template<typename A, typename B>
struct tensor_static_symgroup_multiply
{
private:
typedef typename A::indices iia;
typedef typename B::indices iib;
constexpr static int ffa = A::flags;
constexpr static int ffb = B::flags;
public:
static_assert(iia::count == iib::count, "Cannot multiply symmetry elements with different number of indices.");
typedef tensor_static_symgroup_element<
decltype(tensor_static_symgroup_multiply_helper<iib>::helper(iia())),
ffa ^ ffb
> type;
};
template<typename A, typename B>
struct tensor_static_symgroup_equality
{
typedef typename A::indices iia;
typedef typename B::indices iib;
constexpr static int ffa = A::flags;
constexpr static int ffb = B::flags;
static_assert(iia::count == iib::count, "Cannot compare symmetry elements with different number of indices.");
constexpr static bool value = is_same<iia, iib>::value;
private:
/* this should be zero if they are identical, or else the tensor
* will be forced to be pure real, pure imaginary or even pure zero
*/
constexpr static int flags_cmp_ = ffa ^ ffb;
/* either they are not equal, then we don't care whether the flags
* match, or they are equal, and then we have to check
*/
constexpr static bool is_zero = value && flags_cmp_ == NegationFlag;
constexpr static bool is_real = value && flags_cmp_ == ConjugationFlag;
constexpr static bool is_imag = value && flags_cmp_ == (NegationFlag | ConjugationFlag);
public:
constexpr static int global_flags =
(is_real ? GlobalRealFlag : 0) |
(is_imag ? GlobalImagFlag : 0) |
(is_zero ? GlobalZeroFlag : 0);
};
template<std::size_t NumIndices, typename... Gen>
struct tensor_static_symgroup
{
typedef StaticSGroup<Gen...> type;
constexpr static std::size_t size = type::static_size;
};
template<typename Index, std::size_t N, int... ii, int... jj>
constexpr static inline std::array<Index, N> tensor_static_symgroup_index_permute(std::array<Index, N> idx, internal::numeric_list<int, ii...>, internal::numeric_list<int, jj...>)
{
return {{ idx[ii]..., idx[jj]... }};
}
template<typename Index, int... ii>
static inline std::vector<Index> tensor_static_symgroup_index_permute(std::vector<Index> idx, internal::numeric_list<int, ii...>)
{
std::vector<Index> result{{ idx[ii]... }};
std::size_t target_size = idx.size();
for (std::size_t i = result.size(); i < target_size; i++)
result.push_back(idx[i]);
return result;
}
template<typename T> struct tensor_static_symgroup_do_apply;
template<typename first, typename... next>
struct tensor_static_symgroup_do_apply<internal::type_list<first, next...>>
{
template<typename Op, typename RV, std::size_t SGNumIndices, typename Index, std::size_t NumIndices, typename... Args>
static inline RV run(const std::array<Index, NumIndices>& idx, RV initial, Args&&... args)
{
static_assert(NumIndices >= SGNumIndices, "Can only apply symmetry group to objects that have at least the required amount of indices.");
typedef typename internal::gen_numeric_list<int, NumIndices - SGNumIndices, SGNumIndices>::type remaining_indices;
initial = Op::run(tensor_static_symgroup_index_permute(idx, typename first::indices(), remaining_indices()), first::flags, initial, std::forward<Args>(args)...);
return tensor_static_symgroup_do_apply<internal::type_list<next...>>::template run<Op, RV, SGNumIndices>(idx, initial, args...);
}
template<typename Op, typename RV, std::size_t SGNumIndices, typename Index, typename... Args>
static inline RV run(const std::vector<Index>& idx, RV initial, Args&&... args)
{
eigen_assert(idx.size() >= SGNumIndices && "Can only apply symmetry group to objects that have at least the required amount of indices.");
initial = Op::run(tensor_static_symgroup_index_permute(idx, typename first::indices()), first::flags, initial, std::forward<Args>(args)...);
return tensor_static_symgroup_do_apply<internal::type_list<next...>>::template run<Op, RV, SGNumIndices>(idx, initial, args...);
}
};
template<EIGEN_TPL_PP_SPEC_HACK_DEF(typename, empty)>
struct tensor_static_symgroup_do_apply<internal::type_list<EIGEN_TPL_PP_SPEC_HACK_USE(empty)>>
{
template<typename Op, typename RV, std::size_t SGNumIndices, typename Index, std::size_t NumIndices, typename... Args>
static inline RV run(const std::array<Index, NumIndices>&, RV initial, Args&&...)
{
// do nothing
return initial;
}
template<typename Op, typename RV, std::size_t SGNumIndices, typename Index, typename... Args>
static inline RV run(const std::vector<Index>&, RV initial, Args&&...)
{
// do nothing
return initial;
}
};
} // end namespace internal
template<typename... Gen>
class StaticSGroup
{
constexpr static std::size_t NumIndices = internal::tensor_symmetry_num_indices<Gen...>::value;
typedef internal::group_theory::enumerate_group_elements<
internal::tensor_static_symgroup_multiply,
internal::tensor_static_symgroup_equality,
typename internal::tensor_static_symgroup_identity_ctor<NumIndices>::type,
internal::type_list<typename internal::tensor_static_symgroup_element_ctor<Gen, NumIndices>::type...>
> group_elements;
typedef typename group_elements::type ge;
public:
constexpr inline StaticSGroup() {}
constexpr inline StaticSGroup(const StaticSGroup<Gen...>&) {}
constexpr inline StaticSGroup(StaticSGroup<Gen...>&&) {}
template<typename Op, typename RV, typename Index, std::size_t N, typename... Args>
static inline RV apply(const std::array<Index, N>& idx, RV initial, Args&&... args)
{
return internal::tensor_static_symgroup_do_apply<ge>::template run<Op, RV, NumIndices>(idx, initial, args...);
}
template<typename Op, typename RV, typename Index, typename... Args>
static inline RV apply(const std::vector<Index>& idx, RV initial, Args&&... args)
{
eigen_assert(idx.size() == NumIndices);
return internal::tensor_static_symgroup_do_apply<ge>::template run<Op, RV, NumIndices>(idx, initial, args...);
}
constexpr static std::size_t static_size = ge::count;
constexpr static inline std::size_t size() {
return ge::count;
}
constexpr static inline int globalFlags() { return group_elements::global_flags; }
template<typename Tensor_, typename... IndexTypes>
inline internal::tensor_symmetry_value_setter<Tensor_, StaticSGroup<Gen...>> operator()(Tensor_& tensor, typename Tensor_::Index firstIndex, IndexTypes... otherIndices) const
{
static_assert(sizeof...(otherIndices) + 1 == Tensor_::NumIndices, "Number of indices used to access a tensor coefficient must be equal to the rank of the tensor.");
return operator()(tensor, std::array<typename Tensor_::Index, Tensor_::NumIndices>{{firstIndex, otherIndices...}});
}
template<typename Tensor_>
inline internal::tensor_symmetry_value_setter<Tensor_, StaticSGroup<Gen...>> operator()(Tensor_& tensor, std::array<typename Tensor_::Index, Tensor_::NumIndices> const& indices) const
{
return internal::tensor_symmetry_value_setter<Tensor_, StaticSGroup<Gen...>>(tensor, *this, indices);
}
};
} // end namespace Eigen
#endif // EIGEN_CXX11_TENSORSYMMETRY_STATICSYMMETRY_H
/*
* kate: space-indent on; indent-width 2; mixedindent off; indent-mode cstyle;
*/
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