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/*! @file Forward declares `boost::hana::scan_right`. Copyright Louis Dionne 2013-2022 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_SCAN_RIGHT_HPP #define BOOST_HANA_FWD_SCAN_RIGHT_HPP #include #include namespace boost { namespace hana { //! Fold a Sequence to the right and return a list containing the //! successive reduction states. //! @ingroup group-Sequence //! //! Like `fold_right`, `scan_right` reduces a sequence to a single value //! using a binary operation. However, unlike `fold_right`, it builds up //! a sequence of the intermediary results computed along the way and //! returns that instead of only the final reduction state. Like //! `fold_right`, `scan_right` can be used with or without an initial //! reduction state. //! //! When the sequence is empty, two things may arise. If an initial state //! was provided, a singleton list containing that state is returned. //! Otherwise, if no initial state was provided, an empty list is //! returned. In particular, unlike for `fold_right`, using `scan_right` //! on an empty sequence without an initial state is not an error. //! //! More specifically, `scan_right([x1, ..., xn], state, f)` is a sequence //! whose `i`th element is equivalent to `fold_right([x1, ..., xi], state, f)`. //! The no-state variant is handled in an analogous way. For illustration, //! consider this right fold on a short sequence: //! @code //! fold_right([x1, x2, x3], state, f) == f(x1, f(x2, f(x3, state))) //! @endcode //! //! The analogous sequence generated with `scan_right` will be //! @code //! scan_right([x1, x2, x3], state, f) == [ //! f(x1, f(x2, f(x3, state))), //! f(x2, f(x3, state)), //! f(x3, state), //! state //! ] //! @endcode //! //! Similarly, consider this right fold (without an initial state) on //! a short sequence: //! @code //! fold_right([x1, x2, x3, x4], f) == f(x1, f(x2, f(x3, x4))) //! @endcode //! //! The analogous sequence generated with `scan_right` will be //! @code //! scan_right([x1, x2, x3, x4], f) == [ //! f(x1, f(x2, f(x3, x4))), //! f(x2, f(x3, x4)), //! f(x3, x4), //! x4 //! ] //! @endcode //! //! @param xs //! The sequence to scan from the right. //! //! @param state //! The (optional) initial reduction state. //! //! @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 sequence. //! When no initial state is provided, `f` is called as `f(x1, x2)`, //! where `x1` and `x2` are elements of the sequence. //! //! //! Example //! ------- //! @include example/scan_right.cpp #ifdef BOOST_HANA_DOXYGEN_INVOKED constexpr auto scan_right = [](auto&& xs[, auto&& state], auto const& f) { return tag-dispatched; }; #else template struct scan_right_impl : scan_right_impl> { }; struct scan_right_t { template constexpr auto operator()(Xs&& xs, State&& state, F const& f) const; template constexpr auto operator()(Xs&& xs, F const& f) const; }; BOOST_HANA_INLINE_VARIABLE constexpr scan_right_t scan_right{}; #endif }} // end namespace boost::hana #endif // !BOOST_HANA_FWD_SCAN_RIGHT_HPP