1 /*=============================================================================
2     Copyright (c) 2015 Paul Fultz II
3     fold.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_FOLD_H
9 #define BOOST_HOF_GUARD_FOLD_H
10 
11 /// fold
12 /// ========
13 ///
14 /// Description
15 /// -----------
16 ///
17 /// The `fold` function adaptor uses a binary function to apply a
18 /// [fold](https://en.wikipedia.org/wiki/Fold_%28higher-order_function%29)
19 /// operation to the arguments passed to the function. Additionally, an
20 /// optional initial state can be provided, otherwise the first argument is
21 /// used as the initial state.
22 ///
23 /// The arguments to the binary function, take first the state and then the
24 /// argument.
25 ///
26 /// Synopsis
27 /// --------
28 ///
29 ///     template<class F, class State>
30 ///     constexpr fold_adaptor<F, State> fold(F f, State s);
31 ///
32 ///     template<class F>
33 ///     constexpr fold_adaptor<F> fold(F f);
34 ///
35 /// Semantics
36 /// ---------
37 ///
38 ///     assert(fold(f, z)() == z);
39 ///     assert(fold(f, z)(x, xs...) == fold(f, f(z, x))(xs...));
40 ///     assert(fold(f)(x) == x);
41 ///     assert(fold(f)(x, y, xs...) == fold(f)(f(x, y), xs...));
42 ///
43 /// Requirements
44 /// ------------
45 ///
46 /// State must be:
47 ///
48 /// * CopyConstructible
49 ///
50 /// F must be:
51 ///
52 /// * [BinaryInvocable](BinaryInvocable)
53 /// * MoveConstructible
54 ///
55 /// Example
56 /// -------
57 ///
58 ///     #include <boost/hof.hpp>
59 ///     #include <cassert>
60 ///
61 ///     struct max_f
62 ///     {
63 ///         template<class T, class U>
64 ///         constexpr T operator()(T x, U y) const
65 ///         {
66 ///             return x > y ? x : y;
67 ///         }
68 ///     };
69 ///     int main() {
70 ///         assert(boost::hof::fold(max_f())(2, 3, 4, 5) == 5);
TrimPreprocessedFile(Source, Target, ConvertHex, TrimLong)71 ///     }
72 ///
73 /// References
74 /// ----------
75 ///
76 /// * [Fold](https://en.wikipedia.org/wiki/Fold_(higher-order_function))
77 /// * [Variadic sum](<Variadic sum>)
78 ///
79 
80 #include <boost/hof/detail/callable_base.hpp>
81 #include <boost/hof/detail/delegate.hpp>
82 #include <boost/hof/detail/compressed_pair.hpp>
83 #include <boost/hof/detail/move.hpp>
84 #include <boost/hof/detail/make.hpp>
85 #include <boost/hof/detail/static_const_var.hpp>
86 
87 namespace boost { namespace hof { namespace detail {
88 
89 struct v_fold
90 {
91     BOOST_HOF_RETURNS_CLASS(v_fold);
92     template<class F, class State, class T, class... Ts>
93     constexpr BOOST_HOF_SFINAE_MANUAL_RESULT(const v_fold&, id_<const F&>, result_of<const F&, id_<State>, id_<T>>, id_<Ts>...)
94     operator()(const F& f, State&& state, T&& x, Ts&&... xs) const BOOST_HOF_SFINAE_MANUAL_RETURNS
95     (
96         (*BOOST_HOF_CONST_THIS)(f, f(BOOST_HOF_FORWARD(State)(state), BOOST_HOF_FORWARD(T)(x)), BOOST_HOF_FORWARD(Ts)(xs)...)
97     );
98 
99     template<class F, class State>
100     constexpr State operator()(const F&, State&& state) const noexcept
101     {
102         return BOOST_HOF_FORWARD(State)(state);
103     }
104 };
105 
106 }
107 
108 template<class F, class State=void>
109 struct fold_adaptor
110 : detail::compressed_pair<detail::callable_base<F>, State>
111 {
112     typedef detail::compressed_pair<detail::callable_base<F>, State> base_type;
113     BOOST_HOF_INHERIT_CONSTRUCTOR(fold_adaptor, base_type)
114 
115     template<class... Ts>
116     constexpr const detail::callable_base<F>& base_function(Ts&&... xs) const noexcept
117     {
118         return this->first(xs...);
119     }
120 
121     template<class... Ts>
122     constexpr State get_state(Ts&&... xs) const noexcept
123     {
124         return this->second(xs...);
125     }
126 
127     BOOST_HOF_RETURNS_CLASS(fold_adaptor);
128 
129     template<class... Ts>
130     constexpr BOOST_HOF_SFINAE_RESULT(detail::v_fold, id_<const detail::callable_base<F>&>, id_<State>, id_<Ts>...)
131     operator()(Ts&&... xs) const BOOST_HOF_SFINAE_RETURNS
132     (
133         detail::v_fold()(
134             BOOST_HOF_MANGLE_CAST(const detail::callable_base<F>&)(BOOST_HOF_CONST_THIS->base_function(xs...)),
135             BOOST_HOF_MANGLE_CAST(State)(BOOST_HOF_CONST_THIS->get_state(xs...)),
136             BOOST_HOF_FORWARD(Ts)(xs)...
137         )
138     )
139 };
140 
141 
142 template<class F>
143 struct fold_adaptor<F, void>
144 : detail::callable_base<F>
145 {
146     BOOST_HOF_INHERIT_CONSTRUCTOR(fold_adaptor, detail::callable_base<F>)
147 
148     template<class... Ts>
149     constexpr const detail::callable_base<F>& base_function(Ts&&... xs) const noexcept
150     {
151         return boost::hof::always_ref(*this)(xs...);
152     }
153 
154     BOOST_HOF_RETURNS_CLASS(fold_adaptor);
155 
156     template<class... Ts>
157     constexpr BOOST_HOF_SFINAE_RESULT(detail::v_fold, id_<const detail::callable_base<F>&>, id_<Ts>...)
158     operator()(Ts&&... xs) const BOOST_HOF_SFINAE_RETURNS
159     (
160         detail::v_fold()(
161             BOOST_HOF_MANGLE_CAST(const detail::callable_base<F>&)(BOOST_HOF_CONST_THIS->base_function(xs...)),
162             BOOST_HOF_FORWARD(Ts)(xs)...
163         )
164     )
165 };
166 
167 BOOST_HOF_DECLARE_STATIC_VAR(fold, detail::make<fold_adaptor>);
168 
169 }} // namespace boost::hof
170 
171 #endif
172