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- /*!
- @file
- Forward declares `boost::hana::sum`.
- @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_SUM_HPP
- #define BOOST_HANA_FWD_SUM_HPP
- #include <boost/hana/config.hpp>
- #include <boost/hana/core/when.hpp>
- #include <boost/hana/fwd/integral_constant.hpp>
- BOOST_HANA_NAMESPACE_BEGIN
- //! Compute the sum of the numbers of a structure.
- //! @ingroup group-Foldable
- //!
- //! More generally, `sum` will take any foldable structure containing
- //! objects forming a Monoid and reduce them using the Monoid's binary
- //! operation. The initial state for folding is the identity of the
- //! Monoid. It is sometimes necessary to specify the Monoid to use;
- //! this is possible by using `sum<M>`. If no Monoid is specified,
- //! the structure will use the Monoid formed by the elements it contains
- //! (if it knows it), or `integral_constant_tag<int>` otherwise. Hence,
- //! @code
- //! sum<M>(xs) = fold_left(xs, zero<M or inferred Monoid>(), plus)
- //! sum<> = sum<integral_constant_tag<int>>
- //! @endcode
- //!
- //! For numbers, this will just compute the sum of the numbers in the
- //! `xs` structure.
- //!
- //!
- //! @note
- //! The elements of the structure are not actually required to be in the
- //! same Monoid, but it must be possible to perform `plus` on any two
- //! adjacent elements of the structure, which requires each pair of
- //! adjacent element to at least have a common Monoid embedding. The
- //! meaning of "adjacent" as used here is that two elements of the
- //! structure `x` and `y` are adjacent if and only if they are adjacent
- //! in the linearization of that structure, as documented by the Iterable
- //! concept.
- //!
- //!
- //! Why must we sometimes specify the `Monoid` by using `sum<M>`?
- //! -------------------------------------------------------------
- //! This is because sequence tags like `tuple_tag` are not parameterized
- //! (by design). Hence, we do not know what kind of objects are in the
- //! sequence, so we can't know a `0` value of which type should be
- //! returned when the sequence is empty. Therefore, the type of the
- //! `0` to return in the empty case must be specified explicitly. Other
- //! foldable structures like `hana::range`s will ignore the suggested
- //! Monoid because they know the tag of the objects they contain. This
- //! inconsistent behavior is a limitation of the current design with
- //! non-parameterized tags, but we have no good solution for now.
- //!
- //!
- //! Example
- //! -------
- //! @include example/sum.cpp
- #ifdef BOOST_HANA_DOXYGEN_INVOKED
- constexpr auto sum = see documentation;
- #else
- template <typename T, typename = void>
- struct sum_impl : sum_impl<T, when<true>> { };
- template <typename M>
- struct sum_t {
- template <typename Xs>
- constexpr decltype(auto) operator()(Xs&& xs) const;
- };
- template <typename M = integral_constant_tag<int>>
- constexpr sum_t<M> sum{};
- #endif
- BOOST_HANA_NAMESPACE_END
- #endif // !BOOST_HANA_FWD_SUM_HPP
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