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/*! @file Defines `boost::hana::curry`. 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_FUNCTIONAL_CURRY_HPP #define BOOST_HANA_FUNCTIONAL_CURRY_HPP #include #include #include #include #include #include #include namespace boost { namespace hana { //! @ingroup group-functional //! Curry a function up to the given number of arguments. //! //! [Currying][Wikipedia.currying] is a technique in which we consider a //! function taking multiple arguments (or, equivalently, a tuple of //! arguments), and turn it into a function which takes a single argument //! and returns a function to handle the remaining arguments. To help //! visualize, let's denote the type of a function `f` which takes //! arguments of types `X1, ..., Xn` and returns a `R` as //! @code //! (X1, ..., Xn) -> R //! @endcode //! //! Then, currying is the process of taking `f` and turning it into an //! equivalent function (call it `g`) of type //! @code //! X1 -> (X2 -> (... -> (Xn -> R))) //! @endcode //! //! This gives us the following equivalence, where `x1`, ..., `xn` are //! objects of type `X1`, ..., `Xn` respectively: //! @code //! f(x1, ..., xn) == g(x1)...(xn) //! @endcode //! //! Currying can be useful in several situations, especially when working //! with higher-order functions. //! //! This `curry` utility is an implementation of currying in C++. //! Specifically, `curry(f)` is a function such that //! @code //! curry(f)(x1)...(xn) == f(x1, ..., xn) //! @endcode //! //! Note that the `n` has to be specified explicitly because the existence //! of functions with variadic arguments in C++ make it impossible to know //! when currying should stop. //! //! Unlike usual currying, this implementation also allows a curried //! function to be called with several arguments at a time. Hence, the //! following always holds //! @code //! curry(f)(x1, ..., xk) == curry(f)(x1)...(xk) //! @endcode //! //! Of course, this requires `k` to be less than or equal to `n`; failure //! to satisfy this will trigger a static assertion. This syntax is //! supported because it makes curried functions usable where normal //! functions are expected. //! //! Another "extension" is that `curry<0>(f)` is supported: `curry<0>(f)` //! is a nullary function; whereas the classical definition for currying //! seems to leave this case undefined, as nullary functions don't make //! much sense in purely functional languages. //! //! //! Example //! ------- //! @include example/functional/curry.cpp //! //! //! [Wikipedia.currying]: http://en.wikipedia.org/wiki/Currying #ifdef BOOST_HANA_DOXYGEN_INVOKED template constexpr auto curry = [](auto&& f) { return [perfect-capture](auto&& x1) { return [perfect-capture](auto&& x2) { ... return [perfect-capture](auto&& xn) -> decltype(auto) { return forwarded(f)( forwarded(x1), forwarded(x2), ..., forwarded(xn) ); }; }; }; }; #else template struct curry_t; template struct make_curry_t { template constexpr curry_t::type> operator()(F&& f) const { return {static_cast(f)}; } }; template BOOST_HANA_INLINE_VARIABLE constexpr make_curry_t curry{}; namespace curry_detail { namespace { template constexpr make_curry_t curry_or_call{}; template <> constexpr auto curry_or_call<0> = apply; }} template struct curry_t { F f; template constexpr decltype(auto) operator()(X&& ...x) const& { static_assert(sizeof...(x) <= n, "too many arguments provided to boost::hana::curry"); return curry_detail::curry_or_call( partial(f, static_cast(x)...) ); } template constexpr decltype(auto) operator()(X&& ...x) & { static_assert(sizeof...(x) <= n, "too many arguments provided to boost::hana::curry"); return curry_detail::curry_or_call( partial(f, static_cast(x)...) ); } template constexpr decltype(auto) operator()(X&& ...x) && { static_assert(sizeof...(x) <= n, "too many arguments provided to boost::hana::curry"); return curry_detail::curry_or_call( partial(std::move(f), static_cast(x)...) ); } }; template struct curry_t<0, F> { F f; constexpr decltype(auto) operator()() const& { return f(); } constexpr decltype(auto) operator()() & { return f(); } constexpr decltype(auto) operator()() && { return std::move(f)(); } }; #endif }} // end namespace boost::hana #endif // !BOOST_HANA_FUNCTIONAL_CURRY_HPP