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/*! @file Forward declares `boost::hana::maximum`. 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_MAXIMUM_HPP #define BOOST_HANA_FWD_MAXIMUM_HPP #include #include #include namespace boost { namespace hana { //! Return the greatest element of a non-empty structure with respect to //! a `predicate`, by default `less`. //! @ingroup group-Foldable //! //! Given a non-empty structure and an optional binary predicate //! (`less` by default), `maximum` returns the greatest element of //! the structure, i.e. an element which is greater than or equal to //! every other element in the structure, according to the predicate. //! //! If the structure contains heterogeneous objects, then the predicate //! must return a compile-time `Logical`. If no predicate is provided, //! the elements in the structure must be Orderable, or compile-time //! Orderable if the structure is heterogeneous. //! //! //! Signature //! --------- //! Given a Foldable `F`, a Logical `Bool` and a predicate //! \f$ \mathtt{pred} : T \times T \to Bool \f$, `maximum` has the //! following signatures. For the variant with a provided predicate, //! \f[ //! \mathtt{maximum} : F(T) \times (T \times T \to Bool) \to T //! \f] //! //! for the variant without a custom predicate, `T` is required to be //! Orderable. The signature is then //! \f[ //! \mathtt{maximum} : F(T) \to T //! \f] //! //! @param xs //! The structure to find the greatest element of. //! //! @param predicate //! A function called as `predicate(x, y)`, where `x` and `y` are elements //! of the structure. `predicate` should be a strict weak ordering on the //! elements of the structure and its return value should be a Logical, //! or a compile-time Logical if the structure is heterogeneous. //! //! ### Example //! @include example/maximum.cpp //! //! //! Syntactic sugar (`maximum.by`) //! ------------------------------ //! `maximum` can be called in a third way, which provides a nice syntax //! especially when working with the `ordering` combinator: //! @code //! maximum.by(predicate, xs) == maximum(xs, predicate) //! maximum.by(predicate) == maximum(-, predicate) //! @endcode //! //! where `maximum(-, predicate)` denotes the partial application of //! `maximum` to `predicate`. //! //! ### Example //! @include example/maximum_by.cpp //! //! //! Tag dispatching //! --------------- //! Both the non-predicated version and the predicated versions of //! `maximum` are tag-dispatched methods, and hence they can be //! customized independently. One reason for this is that some //! structures are able to provide a much more efficient implementation //! of `maximum` when the `less` predicate is used. Here is how the //! different versions of `maximum` are dispatched: //! @code //! maximum(xs) -> maximum_impl::apply(xs) //! maximum(xs, pred) -> maximum_pred_impl::apply(xs, pred) //! @endcode //! //! Also note that `maximum.by` is not tag-dispatched on its own, since it //! is just syntactic sugar for calling the corresponding `maximum`. #ifdef BOOST_HANA_DOXYGEN_INVOKED constexpr auto maximum = [](auto&& xs[, auto&& predicate]) -> decltype(auto) { return tag-dispatched; }; #else template struct maximum_impl : maximum_impl> { }; template struct maximum_pred_impl : maximum_pred_impl> { }; struct maximum_t : detail::nested_by { template constexpr decltype(auto) operator()(Xs&& xs) const; template constexpr decltype(auto) operator()(Xs&& xs, Predicate&& pred) const; }; BOOST_HANA_INLINE_VARIABLE constexpr maximum_t maximum{}; #endif }} // end namespace boost::hana #endif // !BOOST_HANA_FWD_MAXIMUM_HPP