| 1 | /*! |
| 2 | @file |
| 3 | Forward declares `boost::hana::scan_right`. |
| 4 | |
| 5 | Copyright Louis Dionne 2013-2022 |
| 6 | Distributed under the Boost Software License, Version 1.0. |
| 7 | (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt) |
| 8 | */ |
| 9 | |
| 10 | #ifndef BOOST_HANA_FWD_SCAN_RIGHT_HPP |
| 11 | #define BOOST_HANA_FWD_SCAN_RIGHT_HPP |
| 12 | |
| 13 | #include <boost/hana/config.hpp> |
| 14 | #include <boost/hana/core/when.hpp> |
| 15 | |
| 16 | |
| 17 | namespace boost { namespace hana { |
| 18 | //! Fold a Sequence to the right and return a list containing the |
| 19 | //! successive reduction states. |
| 20 | //! @ingroup group-Sequence |
| 21 | //! |
| 22 | //! Like `fold_right`, `scan_right` reduces a sequence to a single value |
| 23 | //! using a binary operation. However, unlike `fold_right`, it builds up |
| 24 | //! a sequence of the intermediary results computed along the way and |
| 25 | //! returns that instead of only the final reduction state. Like |
| 26 | //! `fold_right`, `scan_right` can be used with or without an initial |
| 27 | //! reduction state. |
| 28 | //! |
| 29 | //! When the sequence is empty, two things may arise. If an initial state |
| 30 | //! was provided, a singleton list containing that state is returned. |
| 31 | //! Otherwise, if no initial state was provided, an empty list is |
| 32 | //! returned. In particular, unlike for `fold_right`, using `scan_right` |
| 33 | //! on an empty sequence without an initial state is not an error. |
| 34 | //! |
| 35 | //! More specifically, `scan_right([x1, ..., xn], state, f)` is a sequence |
| 36 | //! whose `i`th element is equivalent to `fold_right([x1, ..., xi], state, f)`. |
| 37 | //! The no-state variant is handled in an analogous way. For illustration, |
| 38 | //! consider this right fold on a short sequence: |
| 39 | //! @code |
| 40 | //! fold_right([x1, x2, x3], state, f) == f(x1, f(x2, f(x3, state))) |
| 41 | //! @endcode |
| 42 | //! |
| 43 | //! The analogous sequence generated with `scan_right` will be |
| 44 | //! @code |
| 45 | //! scan_right([x1, x2, x3], state, f) == [ |
| 46 | //! f(x1, f(x2, f(x3, state))), |
| 47 | //! f(x2, f(x3, state)), |
| 48 | //! f(x3, state), |
| 49 | //! state |
| 50 | //! ] |
| 51 | //! @endcode |
| 52 | //! |
| 53 | //! Similarly, consider this right fold (without an initial state) on |
| 54 | //! a short sequence: |
| 55 | //! @code |
| 56 | //! fold_right([x1, x2, x3, x4], f) == f(x1, f(x2, f(x3, x4))) |
| 57 | //! @endcode |
| 58 | //! |
| 59 | //! The analogous sequence generated with `scan_right` will be |
| 60 | //! @code |
| 61 | //! scan_right([x1, x2, x3, x4], f) == [ |
| 62 | //! f(x1, f(x2, f(x3, x4))), |
| 63 | //! f(x2, f(x3, x4)), |
| 64 | //! f(x3, x4), |
| 65 | //! x4 |
| 66 | //! ] |
| 67 | //! @endcode |
| 68 | //! |
| 69 | //! @param xs |
| 70 | //! The sequence to scan from the right. |
| 71 | //! |
| 72 | //! @param state |
| 73 | //! The (optional) initial reduction state. |
| 74 | //! |
| 75 | //! @param f |
| 76 | //! A binary function called as `f(x, state)`, where `state` is the |
| 77 | //! result accumulated so far and `x` is an element in the sequence. |
| 78 | //! When no initial state is provided, `f` is called as `f(x1, x2)`, |
| 79 | //! where `x1` and `x2` are elements of the sequence. |
| 80 | //! |
| 81 | //! |
| 82 | //! Example |
| 83 | //! ------- |
| 84 | //! @include example/scan_right.cpp |
| 85 | #ifdef BOOST_HANA_DOXYGEN_INVOKED |
| 86 | constexpr auto scan_right = [](auto&& xs[, auto&& state], auto const& f) { |
| 87 | return tag-dispatched; |
| 88 | }; |
| 89 | #else |
| 90 | template <typename S, typename = void> |
| 91 | struct scan_right_impl : scan_right_impl<S, when<true>> { }; |
| 92 | |
| 93 | struct scan_right_t { |
| 94 | template <typename Xs, typename State, typename F> |
| 95 | constexpr auto operator()(Xs&& xs, State&& state, F const& f) const; |
| 96 | |
| 97 | template <typename Xs, typename F> |
| 98 | constexpr auto operator()(Xs&& xs, F const& f) const; |
| 99 | }; |
| 100 | |
| 101 | BOOST_HANA_INLINE_VARIABLE constexpr scan_right_t scan_right{}; |
| 102 | #endif |
| 103 | }} // end namespace boost::hana |
| 104 | |
| 105 | #endif // !BOOST_HANA_FWD_SCAN_RIGHT_HPP |
| 106 | |