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- /*!
- @file
- Forward declares `boost::hana::fold_right`.
- @copyright Louis Dionne 2013-2017
- Distributed under the Boost Software License, Version 1.0.
- (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
- */
- #ifndef BOOST_HANA_FWD_FOLD_RIGHT_HPP
- #define BOOST_HANA_FWD_FOLD_RIGHT_HPP
- #include <boost/hana/config.hpp>
- #include <boost/hana/core/when.hpp>
- BOOST_HANA_NAMESPACE_BEGIN
- //! Right-fold of a structure using a binary operation and an optional
- //! initial reduction state.
- //! @ingroup group-Foldable
- //!
- //! `fold_right` is a right-associative fold using a binary operation.
- //! Given a structure containing `x1, ..., xn`, a function `f` and
- //! an optional initial state, `fold_right` applies `f` as follows
- //! @code
- //! f(x1, f(x2, f(x3, f(x4, ... f(xn-1, xn) ... )))) // without state
- //! f(x1, f(x2, f(x3, f(x4, ... f(xn, state) ... )))) // with state
- //! @endcode
- //!
- //! @note
- //! It is worth noting that the order in which the binary function should
- //! expect its arguments is reversed from `fold_left`.
- //!
- //! When the structure is empty, two things may arise. If an initial
- //! state was provided, it is returned as-is. Otherwise, if the no-state
- //! version of the function was used, an error is triggered. When the
- //! stucture contains a single element and the no-state version of the
- //! function was used, that single element is returned as is.
- //!
- //!
- //! Signature
- //! ---------
- //! Given a `Foldable` `F` and an optional initial state of tag `S`,
- //! the signatures for `fold_right` are
- //! \f[
- //! \mathtt{fold\_right} : F(T) \times S \times (T \times S \to S) \to S
- //! \f]
- //!
- //! for the variant with an initial state, and
- //! \f[
- //! \mathtt{fold\_right} : F(T) \times (T \times T \to T) \to T
- //! \f]
- //!
- //! for the variant without an initial state.
- //!
- //! @param xs
- //! The structure to fold.
- //!
- //! @param state
- //! The initial value used for folding.
- //!
- //! @param f
- //! A binary function called as `f(x, state)`, where `state` is the
- //! result accumulated so far and `x` is an element in the structure.
- //! For right folds without an initial state, the function is called as
- //! `f(x1, x2)`, where `x1` and `x2` are elements of the structure.
- //!
- //!
- //! Example
- //! -------
- //! @include example/fold_right.cpp
- #ifdef BOOST_HANA_DOXYGEN_INVOKED
- constexpr auto fold_right = [](auto&& xs[, auto&& state], auto&& f) -> decltype(auto) {
- return tag-dispatched;
- };
- #else
- template <typename T, typename = void>
- struct fold_right_impl : fold_right_impl<T, when<true>> { };
- struct fold_right_t {
- template <typename Xs, typename State, typename F>
- constexpr decltype(auto) operator()(Xs&& xs, State&& state, F&& f) const;
- template <typename Xs, typename F>
- constexpr decltype(auto) operator()(Xs&& xs, F&& f) const;
- };
- constexpr fold_right_t fold_right{};
- #endif
- BOOST_HANA_NAMESPACE_END
- #endif // !BOOST_HANA_FWD_FOLD_RIGHT_HPP
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