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1 /*=============================================================================
2     Copyright (c) 2014 Paul Fultz II
3     compose.h
4     Distributed under the Boost Software License, Version 1.0. (See accompanying
5     file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
6 ==============================================================================*/
7 
8 #ifndef BOOST_HOF_GUARD_FUNCTION_COMPOSE_H
9 #define BOOST_HOF_GUARD_FUNCTION_COMPOSE_H
10 
11 /// compose
12 /// =======
13 ///
14 /// Description
15 /// -----------
16 ///
17 /// The `compose` function adaptor provides function composition. It produces
18 /// a function object that composes a set of functions, ie the output of one
19 /// function becomes the input of the second function. So, `compose(f, g)(0)`
20 /// is equivalent to `f(g(0))`.
21 ///
22 ///
23 /// Synopsis
24 /// --------
25 ///
26 ///     template<class... Fs>
27 ///     constexpr compose_adaptor<Fs...> compose(Fs... fs);
28 ///
29 /// Semantics
30 /// ---------
31 ///
32 ///     assert(compose(f, g)(xs...) == f(g(xs...)));
33 ///
34 /// Requirements
35 /// ------------
36 ///
37 /// Fs must be:
38 ///
39 /// * [ConstInvocable](ConstInvocable)
40 /// * MoveConstructible
41 ///
42 /// Example
43 /// -------
44 ///
45 ///     #include <boost/hof.hpp>
46 ///     #include <cassert>
47 ///     using namespace boost::hof;
48 ///
49 ///     struct increment
50 ///     {
51 ///         template<class T>
52 ///         T operator()(T x) const
53 ///         {
54 ///             return x + 1;
55 ///         }
56 ///     };
57 ///
58 ///     struct decrement
59 ///     {
60 ///         template<class T>
61 ///         T operator()(T x) const
62 ///         {
63 ///             return x - 1;
64 ///         }
65 ///     };
66 ///
67 ///     int main() {
68 ///         int r = compose(increment(), decrement(), increment())(3);
69 ///         assert(r == 4);
70 ///     }
71 ///
72 /// References
73 /// ----------
74 ///
75 /// * [Function composition](https://en.wikipedia.org/wiki/Function_composition)
76 ///
77 ///
78 
79 #include <boost/hof/detail/callable_base.hpp>
80 #include <boost/hof/always.hpp>
81 #include <boost/hof/detail/delegate.hpp>
82 #include <boost/hof/detail/compressed_pair.hpp>
83 #include <boost/hof/detail/join.hpp>
84 #include <tuple>
85 #include <boost/hof/detail/move.hpp>
86 #include <boost/hof/detail/make.hpp>
87 #include <boost/hof/detail/result_type.hpp>
88 #include <boost/hof/detail/static_const_var.hpp>
89 
90 namespace boost { namespace hof { namespace detail {
91 
92 template<class F1, class F2>
93 struct compose_kernel : detail::compressed_pair<F1, F2>, compose_function_result_type<F1, F2>
94 {
95     typedef detail::compressed_pair<F1, F2> base_type;
96 
97     BOOST_HOF_INHERIT_CONSTRUCTOR(compose_kernel, base_type)
98 
99     BOOST_HOF_RETURNS_CLASS(compose_kernel);
100 
101     template<class... Ts>
102     constexpr BOOST_HOF_SFINAE_RESULT(const F1&, result_of<const F2&, id_<Ts>...>)
103     operator()(Ts&&... xs) const BOOST_HOF_SFINAE_RETURNS
104     (
105         BOOST_HOF_MANGLE_CAST(const F1&)(BOOST_HOF_CONST_THIS->first(xs...))(
106             BOOST_HOF_MANGLE_CAST(const F2&)(BOOST_HOF_CONST_THIS->second(xs...))(BOOST_HOF_FORWARD(Ts)(xs)...)
107         )
108     );
109 };
110 }
111 
112 template<class F, class... Fs>
113 struct compose_adaptor
114 : detail::compose_kernel<detail::callable_base<F>, BOOST_HOF_JOIN(compose_adaptor, detail::callable_base<Fs>...)>
115 {
116     typedef compose_adaptor fit_rewritable_tag;
117     typedef BOOST_HOF_JOIN(compose_adaptor, detail::callable_base<Fs>...) tail;
118     typedef detail::compose_kernel<detail::callable_base<F>, tail> base_type;
119 
BOOST_HOF_INHERIT_DEFAULTboost::hof::compose_adaptor120     BOOST_HOF_INHERIT_DEFAULT(compose_adaptor, base_type)
121 
122     template<class X, class... Xs,
123         BOOST_HOF_ENABLE_IF_CONSTRUCTIBLE(detail::callable_base<F>, X),
124         BOOST_HOF_ENABLE_IF_CONSTRUCTIBLE(tail, Xs...)
125     >
126     constexpr compose_adaptor(X&& f1, Xs&& ... fs)
127     BOOST_HOF_NOEXCEPT(BOOST_HOF_IS_NOTHROW_CONSTRUCTIBLE(base_type, X&&, tail) && BOOST_HOF_IS_NOTHROW_CONSTRUCTIBLE(tail, Xs&&...))
128     : base_type(BOOST_HOF_FORWARD(X)(f1), tail(BOOST_HOF_FORWARD(Xs)(fs)...))
129     {}
130 
131     template<class X,
132         BOOST_HOF_ENABLE_IF_CONSTRUCTIBLE(detail::callable_base<F>, X)
133     >
compose_adaptorboost::hof::compose_adaptor134     constexpr compose_adaptor(X&& f1)
135     BOOST_HOF_NOEXCEPT_CONSTRUCTIBLE(base_type, X&&)
136     : base_type(BOOST_HOF_FORWARD(X)(f1))
137     {}
138 };
139 
140 template<class F>
141 struct compose_adaptor<F> : detail::callable_base<F>
142 {
143     typedef compose_adaptor fit_rewritable_tag;
144 
BOOST_HOF_INHERIT_DEFAULTboost::hof::compose_adaptor145     BOOST_HOF_INHERIT_DEFAULT(compose_adaptor, detail::callable_base<F>)
146 
147     template<class X, BOOST_HOF_ENABLE_IF_CONVERTIBLE(X, detail::callable_base<F>)>
148     constexpr compose_adaptor(X&& f1)
149     BOOST_HOF_NOEXCEPT_CONSTRUCTIBLE(detail::callable_base<F>, X&&)
150     : detail::callable_base<F>(BOOST_HOF_FORWARD(X)(f1))
151     {}
152 
153 };
154 
155 template<class F1, class F2>
156 struct compose_adaptor<F1, F2>
157 : detail::compose_kernel<detail::callable_base<F1>, detail::callable_base<F2>>
158 {
159     typedef compose_adaptor fit_rewritable_tag;
160     typedef detail::compose_kernel<detail::callable_base<F1>, detail::callable_base<F2>> base_type;
161 
162     BOOST_HOF_INHERIT_CONSTRUCTOR(compose_adaptor, base_type)
163 };
164 
165 BOOST_HOF_DECLARE_STATIC_VAR(compose, detail::make<compose_adaptor>);
166 
167 }} // namespace boost::hof
168 
169 #endif
170