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- /*!
- @file
- Forward declares `boost::hana::scan_left`.
- @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_SCAN_LEFT_HPP
- #define BOOST_HANA_FWD_SCAN_LEFT_HPP
- #include <boost/hana/config.hpp>
- #include <boost/hana/core/when.hpp>
- BOOST_HANA_NAMESPACE_BEGIN
- //! Fold a Sequence to the left and return a list containing the
- //! successive reduction states.
- //! @ingroup group-Sequence
- //!
- //! Like `fold_left`, `scan_left` reduces a sequence to a single value
- //! using a binary operation. However, unlike `fold_left`, 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_left`, `scan_left` 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_left`, using `scan_left`
- //! on an empty sequence without an initial state is not an error.
- //!
- //! More specifically, `scan_left([x1, ..., xn], state, f)` is a sequence
- //! whose `i`th element is equivalent to `fold_left([x1, ..., xi], state, f)`.
- //! The no-state variant is handled in an analogous way. For illustration,
- //! consider this left fold on a short sequence:
- //! @code
- //! fold_left([x1, x2, x3], state, f) == f(f(f(state, x1), x2), x3)
- //! @endcode
- //!
- //! The analogous sequence generated with `scan_left` will be
- //! @code
- //! scan_left([x1, x2, x3], state, f) == [
- //! state,
- //! f(state, x1),
- //! f(f(state, x1), x2),
- //! f(f(f(state, x1), x2), x3)
- //! ]
- //! @endcode
- //!
- //! Similarly, consider this left fold (without an initial state) on
- //! a short sequence:
- //! @code
- //! fold_left([x1, x2, x3, x4], f) == f(f(f(x1, x2), x3), x4)
- //! @endcode
- //!
- //! The analogous sequence generated with `scan_left` will be
- //! @code
- //! scan_left([x1, x2, x3, x4], f) == [
- //! x1,
- //! f(x1, x2),
- //! f(f(x1, x2), x3),
- //! f(f(f(x1, x2), x3), x4)
- //! ]
- //! @endcode
- //!
- //! @param xs
- //! The sequence to scan from the left.
- //!
- //! @param state
- //! The (optional) initial reduction state.
- //!
- //! @param f
- //! A binary function called as `f(state, x)`, where `state` is the
- //! result accumulated so far and `x` is an element in the sequence.
- //! If no initial state is provided, `f` is called as `f(x1, x2)`,
- //! where `x1` and `x2` are both elements of the sequence.
- //!
- //!
- //! Example
- //! -------
- //! @include example/scan_left.cpp
- #ifdef BOOST_HANA_DOXYGEN_INVOKED
- constexpr auto scan_left = [](auto&& xs[, auto&& state], auto const& f) {
- return tag-dispatched;
- };
- #else
- template <typename S, typename = void>
- struct scan_left_impl : scan_left_impl<S, when<true>> { };
- struct scan_left_t {
- template <typename Xs, typename State, typename F>
- constexpr auto operator()(Xs&& xs, State&& state, F const& f) const;
- template <typename Xs, typename F>
- constexpr auto operator()(Xs&& xs, F const& f) const;
- };
- constexpr scan_left_t scan_left{};
- #endif
- BOOST_HANA_NAMESPACE_END
- #endif // !BOOST_HANA_FWD_SCAN_LEFT_HPP
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