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/*============================================================================= Copyright (c) 2014 Paul Fultz II fix.h Distributed under the Boost Software License, Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) ==============================================================================*/ #ifndef BOOST_HOF_GUARD_FUNCTION_FIX_H #define BOOST_HOF_GUARD_FUNCTION_FIX_H /// fix /// === /// /// Description /// ----------- /// /// The `fix` function adaptor implements a fixed-point combinator. This can be /// used to write recursive functions. /// /// When using `constexpr`, a function can recurse to a depth that is defined by /// `BOOST_HOF_RECURSIVE_CONSTEXPR_DEPTH`(default is 16). There is no limitiation on /// recursion depth for non-constexpr functions. In addition, due to the /// eagerness of `constexpr` to instantiation templates, in some cases, an /// explicit return type must be specified in order to avoid reaching the /// recursion limits of the compiler. This can be accomplished using /// [`boost::hof::result`](/include/boost/hof/result): /// /// int r = boost::hof::result(factorial)(5); /// /// Synopsis /// -------- /// /// template /// constexpr fix_adaptor fix(F f); /// /// Semantics /// --------- /// /// assert(fix(f)(xs...) == f(fix(f), xs...)); /// /// Requirements /// ------------ /// /// F must be: /// /// * [ConstFunctionObject](ConstFunctionObject) /// * MoveConstructible /// /// Example /// ------- /// /// #include /// #include /// /// int main() { /// auto factorial = boost::hof::fix( /// [](auto recurse, auto x) -> decltype(x) { /// return x == 0 ? 1 : x * recurse(x-1); /// } /// ); /// int r = boost::hof::result(factorial)(5); /// assert(r == 5*4*3*2*1); /// } /// /// References /// ---------- /// /// * [Fixed-point combinator](https://en.wikipedia.org/wiki/Fixed-point_combinator) /// * [Recursive](Recursive) /// #include #include #include #include #include #include #include #include #include #include namespace boost { namespace hof { namespace detail{ template struct compute_indirect_ref { typedef indirect_adaptor type; }; template struct compute_indirect_ref> { typedef indirect_adaptor type; }; template constexpr indirect_adaptor make_indirect_ref(const F& f) noexcept { return indirect_adaptor(&f); } template constexpr indirect_adaptor make_indirect_ref(const indirect_adaptor& f) noexcept { return f; } template struct fix_result { template struct apply { typedef decltype(std::declval()(std::declval()...)) type; }; }; template struct fix_result::type> { template struct apply { typedef typename F::result_type type; }; }; template struct fix_adaptor_base : F { BOOST_HOF_INHERIT_CONSTRUCTOR(fix_adaptor_base, F); typedef typename compute_indirect_ref::type base_ref_type; typedef fix_adaptor_base derived; template constexpr const F& base_function(Ts&&... xs) const noexcept { return boost::hof::always_ref(*this)(xs...); } template constexpr derived derived_function(Ts&&... xs) const noexcept { return derived(boost::hof::detail::make_indirect_ref(this->base_function(xs...))); } struct fix_failure { template struct apply { template struct of : Failure::template of {}; }; }; struct failure : failure_map {}; BOOST_HOF_RETURNS_CLASS(fix_adaptor_base); template constexpr BOOST_HOF_SFINAE_RESULT(const F&, id_, id_...) operator()(Ts&&... xs) const BOOST_HOF_SFINAE_RETURNS ( BOOST_HOF_MANGLE_CAST(const F&)(BOOST_HOF_CONST_THIS->base_function(xs...)) ( BOOST_HOF_MANGLE_CAST(derived)(BOOST_HOF_CONST_THIS->derived_function(xs...)), BOOST_HOF_FORWARD(Ts)(xs)... ) ); }; template struct fix_adaptor_base : F { BOOST_HOF_INHERIT_CONSTRUCTOR(fix_adaptor_base, F); template const F& base_function(Ts&&...) const noexcept { return *this; } struct fix_failure { template struct apply { template struct of : Failure::template of {}; }; }; struct failure : failure_map {}; BOOST_HOF_RETURNS_CLASS(fix_adaptor_base); template typename Result::template apply::type operator()(Ts&&... xs) const { return this->base_function(xs...)(*this, BOOST_HOF_FORWARD(Ts)(xs)...); } }; } template struct fix_adaptor : detail::fix_adaptor_base, BOOST_HOF_RECURSIVE_CONSTEXPR_DEPTH> { typedef fix_adaptor fit_rewritable1_tag; typedef detail::fix_adaptor_base, BOOST_HOF_RECURSIVE_CONSTEXPR_DEPTH> base; BOOST_HOF_INHERIT_CONSTRUCTOR(fix_adaptor, base); }; template struct result_adaptor> : fix_adaptor> { typedef fix_adaptor> base; BOOST_HOF_INHERIT_CONSTRUCTOR(result_adaptor, base) }; BOOST_HOF_DECLARE_STATIC_VAR(fix, detail::make); }} // namespace boost::hof #endif