view.hpp

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// SPDX-License-Identifier: BSD-2-Clause
 
#ifndef pRC_TENSOR_TRAIN_OPERATOR_VIEWS_VIEW_H
#define pRC_TENSOR_TRAIN_OPERATOR_VIEWS_VIEW_H
 
#include <prc/core/basic/crtp.hpp>
#include <prc/core/basic/limits.hpp>
#include <prc/core/basic/range.hpp>
#include <prc/core/basic/sequence.hpp>
#include <prc/core/complex/type_traits.hpp>
#include <prc/core/functors/mul.hpp>
#include <prc/core/tensor/functions/chip.hpp>
#include <prc/core/tensor/type_traits.hpp>
#include <prc/core/value/functions/fold.hpp>
#include <prc/core/value/type_traits.hpp>
#include <prc/tensor_train/operator/type_traits.hpp>
 
namespace pRC::TensorTrain::OperatorViews
{
    template<class T, Size... Ms, Size... Ns, Size... Rs, class F>
    class View<T, Sizes<Ms...>, Sizes<Ns...>, Sizes<Rs...>, F> : public CRTP<F>
    {
        static_assert(sizeof...(Ms) == sizeof...(Ns));
        static_assert(sizeof...(Ns) - 1 == sizeof...(Rs));
        static_assert(IsValue<T>() || IsComplex<T>(),
            "Operator<T, Sizes<Ns...>>: T has to be of type Value or Complex.");
 
    public:
        using M = pRC::Sizes<Ms...>;
        using N = pRC::Sizes<Ns...>;
        using L = pRC::Sizes<(Ms * Ns)...>;
        using Sizes = pRC::Sizes<Ms..., Ns...>;
 
        using SubscriptsM = pRC::Subscripts<Ms...>;
        using SubscriptsN = pRC::Subscripts<Ns...>;
        using SubscriptsL = pRC::Subscripts<(Ms * Ns)...>;
        using Subscripts = pRC::Subscripts<Ms..., Ns...>;
 
        using Dimension = typename N::Dimension;
 
        using Ranks = pRC::Sizes<Rs...>;
        template<class S,
            If<IsSame<typename S::Dimension, typename Ranks::Dimension>> = 0>
        using ChangeRanks = Operator<T, M, N, S>;
 
        template<Index C>
        using Cores = pRC::Tensor<T, pRC::Sizes<1, Rs..., 1>::size(C),
            M::size(C), N::size(C), pRC::Sizes<1, Rs..., 1>::size(C + 1)>;
 
        using Type = T;
        template<class C>
        using ChangeType = Operator<C, M, N, Ranks>;
 
        using Value = typename T::Value;
        template<class V, If<IsValue<V>> = 0>
        using ChangeValue =
            Operator<typename T::template ChangeValue<V>, M, N, Ranks>;
 
        using Signed = typename T::Signed;
        template<Bool R>
        using ChangeSigned =
            Operator<typename T::template ChangeSigned<R>, M, N, Ranks>;
 
        using Width = typename T::Width;
        template<Size Q>
        using ChangeWidth =
            Operator<typename T::template ChangeWidth<Q>, M, N, Ranks>;
 
        using IsComplexified = typename T::IsComplexified;
        using Complexify = Operator<typename T::Complexify, M, N, Ranks>;
        using NonComplex = Operator<typename T::NonComplex, M, N, Ranks>;
 
        template<class E = typename M::IsLinearizable, If<E> = 0>
        static constexpr auto m()
        {
            return M::size();
        }
 
        static constexpr auto m(Index const dimension)
        {
            return M::size(dimension);
        }
 
        template<class E = typename N::IsLinearizable, If<E> = 0>
        static constexpr auto n()
        {
            return N::size();
        }
 
        static constexpr auto n(Index const dimension)
        {
            return N::size(dimension);
        }
 
        template<class E = typename Sizes::IsLinearizable, If<E> = 0>
        static constexpr auto size()
        {
            return Sizes::size();
        }
 
        static constexpr auto size(Index const dimension)
        {
            return Sizes::size(dimension);
        }
 
        template<class X, class... Is, If<IsConstructible<T, X>> = 0,
            If<IsSatisfied<(sizeof...(Is) == Dimension())>> = 0>
        static inline constexpr auto Single(X &&value, Is const... indices)
        {
            return Operator<T, M, N, Ranks>::Single(forward<X>(value),
                indices...);
        }
 
        template<class X, If<IsConstructible<T, X>> = 0>
        static inline constexpr auto Single(X &&value,
            Subscripts const &subscripts)
        {
            return Operator<T, M, N, Ranks>::Single(forward<X>(value),
                subscripts);
        }
 
        template<class X, If<IsConstructible<T, X>> = 0>
        static inline constexpr auto Single(X &&value, SubscriptsM const &is,
            SubscriptsN const &js)
        {
            return Operator<T, M, N, Ranks>::Single(forward<X>(value), is, js);
        }
 
    public:
        template<Index C>
        constexpr decltype(auto) core()
        {
            return this->self().template core<C>();
        }
 
        template<Index C>
        constexpr decltype(auto) core() const
        {
            return this->self().template core<C>();
        }
 
        template<class... Is,
            If<IsSatisfied<(sizeof...(Is) == 2 * Dimension())>> = 0>
        constexpr decltype(auto) operator()(Is const... indices)
        {
            return (*this)(Subscripts(indices...));
        }
 
        template<class... Is,
            If<IsSatisfied<(sizeof...(Is) == 2 * Dimension())>> = 0>
        constexpr decltype(auto) operator()(Is const... indices) const
        {
            return (*this)(Subscripts(indices...));
        }
 
        constexpr decltype(auto) operator()(Subscripts const &subscripts)
        {
            return expand(makeSeries<Index, Dimension{}>(),
                [this, &subscripts](auto const... seq) -> decltype(auto)
                {
                    return (*this)(SubscriptsM(subscripts[seq]...),
                        SubscriptsN(subscripts[seq + Dimension()]...));
                });
        }
 
        constexpr decltype(auto) operator()(Subscripts const &subscripts) const
        {
            return expand(makeSeries<Index, Dimension{}>(),
                [this, &subscripts](auto const... seq) -> decltype(auto)
                {
                    return (*this)(SubscriptsM(subscripts[seq]...),
                        SubscriptsN(subscripts[seq + Dimension()]...));
                });
        }
 
        constexpr auto operator()(SubscriptsM const &is, SubscriptsN const &js)
        {
            return expand(makeSeries<Index, Dimension{}>(),
                [this, &is, &js](auto const... seq)
                {
                    return fold<Mul, true, Direction::Backwards>(chip<1, 2>(
                        this->template core<seq>(), is[seq], js[seq])...)(0, 0);
                });
        }
 
        constexpr auto operator()(SubscriptsM const &is,
            SubscriptsN const &js) const
        {
            return expand(makeSeries<Index, Dimension{}>(),
                [this, &is, &js](auto const... seq)
                {
                    return fold<Mul, true, Direction::Backwards>(chip<1, 2>(
                        this->template core<seq>(), is[seq], js[seq])...)(0, 0);
                });
        }
 
        template<class E = IsSatisfied<((Ms * ... * 1) * (Ns * ... * 1)) <=
                         NumericLimits<Size>::max() &&
                     typename Sizes::IsLinearizable()>,
            If<E> = 0>
        explicit constexpr operator pRC::Tensor<T, Ms..., Ns...>()
        {
            pRC::Tensor<T, Ms..., Ns...> full;
 
            range<Sizes>(
                [this, &full](auto const... indices)
                {
                    full(indices...) = (*this)(indices...);
                });
 
            return full;
        }
 
        template<class E = IsSatisfied<((Ms * ... * 1) * (Ns * ... * 1)) <=
                         NumericLimits<Size>::max() &&
                     typename Sizes::IsLinearizable()>,
            If<E> = 0>
        explicit constexpr operator pRC::Tensor<T, Ms..., Ns...>() const
        {
            pRC::Tensor<T, Ns...> full;
 
            range<Sizes>(
                [this, &full](auto const... indices)
                {
                    full(indices...) = (*this)(indices...);
                });
 
            return full;
        }
 
    protected:
        ~View() = default;
        constexpr View(View const &) = default;
        constexpr View(View &&) = default;
        constexpr View &operator=(View const &) = delete;
        constexpr View &operator=(View &&) = delete;
        constexpr View()
        {
            range<Context::CompileTime, Dimension{}>(
                [](auto const i)
                {
                    static_assert(
                        True<decltype(declval<F>().template core<i>())>());
                    static_assert(
                        IsConvertible<decltype(declval<F>().template core<i>()),
                            Cores<i>>());
                });
            static_assert(IsBaseOf<View, F>());
        }
    };
}
 
namespace pRC
{
    template<class T, Size... Ms, Size... Ns, class R, class F>
    Tensor(TensorTrain::OperatorViews::View<T, Sizes<Ms...>, Sizes<Ns...>, R,
        F> const &) -> Tensor<T, Ms..., Ns...>;
}
#endif // pRC_TENSOR_TRAIN_OPERATOR_VIEWS_VIEW_H