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1/*!
2@file
3Forward declares `boost::hana::ap`.
4
5@copyright Louis Dionne 2013-2016
6Distributed 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_AP_HPP
11#define BOOST_HANA_FWD_AP_HPP
12
13#include <boost/hana/config.hpp>
14#include <boost/hana/core/when.hpp>
15
16
17BOOST_HANA_NAMESPACE_BEGIN
18 //! Lifted application.
19 //! @ingroup group-Applicative
20 //!
21 //! Specifically, `ap` applies a structure containing functions to a
22 //! structure containing values, and returns a new structure containing
23 //! values. The exact way in which the functions are applied to the values
24 //! depends on the `Applicative`.
25 //!
26 //! `ap` can be called with two arguments or more; the functions in the `f`
27 //! structure are curried and then applied to the values in each `x...`
28 //! structure using the binary form of `ap`. Note that this requires the
29 //! number of `x...` must match the arity of the functions in the `f`
30 //! structure. In other words, `ap(f, x1, ..., xN)` is equivalent to
31 //! @code
32 //! ((f' <ap> x1) <ap> x2) ... <ap> xN
33 //! @endcode
34 //! where `f'` is `f` but containing curried functions instead and
35 //! `x <ap> y` is just `ap(x, y)` written in infix notation to emphasize
36 //! the left associativity.
37 //!
38 //!
39 //! Signature
40 //! ---------
41 //! Given an Applicative `A`, the signature is
42 //! @f$ \mathtt{ap} : A(T_1 \times \cdots \times T_n \to U)
43 //! \times A(T_1) \times \cdots \times A(T_n)
44 //! \to A(U) @f$.
45 //!
46 //! @param f
47 //! A structure containing function(s).
48 //!
49 //! @param x...
50 //! Structure(s) containing value(s) and on which `f` is applied. The
51 //! number of structures must match the arity of the functions in the
52 //! `f` structure.
53 //!
54 //!
55 //! Example
56 //! -------
57 //! @include example/ap.cpp
58 //!
59 //! @todo
60 //! Consider giving access to all the arguments to the tag-dispatched
61 //! implementation for performance purposes.
62#ifdef BOOST_HANA_DOXYGEN_INVOKED
63 constexpr auto ap = [](auto&& f, auto&& ...x) -> decltype(auto) {
64 return tag-dispatched;
65 };
66#else
67 template <typename A, typename = void>
68 struct ap_impl : ap_impl<A, when<true>> { };
69
70 struct ap_t {
71 template <typename F, typename X>
72 constexpr decltype(auto) operator()(F&& f, X&& x) const;
73
74 template <typename F, typename ...Xs>
75 constexpr decltype(auto) operator()(F&& f, Xs&& ...xs) const;
76 };
77
78 constexpr ap_t ap{};
79#endif
80BOOST_HANA_NAMESPACE_END
81
82#endif // !BOOST_HANA_FWD_AP_HPP