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// Functor implementations -- C++ -- // Copyright (C) 2001-2018 Free Software Foundation, Inc. // // This file is part of the GNU ISO C++ Library. This library is free // software; you can redistribute it and/or modify it under the // terms of the GNU General Public License as published by the // Free Software Foundation; either version 3, or (at your option) // any later version. // This library is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // Under Section 7 of GPL version 3, you are granted additional // permissions described in the GCC Runtime Library Exception, version // 3.1, as published by the Free Software Foundation. // You should have received a copy of the GNU General Public License and // a copy of the GCC Runtime Library Exception along with this program; // see the files COPYING3 and COPYING.RUNTIME respectively. If not, see // <http://www.gnu.org/licenses/>. /* * * Copyright (c) 1994 * Hewlett-Packard Company * * Permission to use, copy, modify, distribute and sell this software * and its documentation for any purpose is hereby granted without fee, * provided that the above copyright notice appear in all copies and * that both that copyright notice and this permission notice appear * in supporting documentation. Hewlett-Packard Company makes no * representations about the suitability of this software for any * purpose. It is provided "as is" without express or implied warranty. * * * Copyright (c) 1996-1998 * Silicon Graphics Computer Systems, Inc. * * Permission to use, copy, modify, distribute and sell this software * and its documentation for any purpose is hereby granted without fee, * provided that the above copyright notice appear in all copies and * that both that copyright notice and this permission notice appear * in supporting documentation. Silicon Graphics makes no * representations about the suitability of this software for any * purpose. It is provided "as is" without express or implied warranty. / /* @file bits/stl_function.h * This is an internal header file, included by other library headers. * Do not attempt to use it directly. @headername{functional} / #ifndef _STL_FUNCTION_H #define _STL_FUNCTION_H 1 #if __cplusplus > 201103L #include <bits/move.h> #endif namespace std _GLIBCXX_VISIBILITY(default) { _GLIBCXX_BEGIN_NAMESPACE_VERSION // 20.3.1 base classes /* @defgroup functors Function Objects * @ingroup utilities * * Function objects, or @e functors, are objects with an @c operator() * defined and accessible. They can be passed as arguments to algorithm * templates and used in place of a function pointer. Not only is the * resulting expressiveness of the library increased, but the generated * code can be more efficient than what you might write by hand. When we * refer to @a functors, then, generally we include function pointers in * the description as well. * * Often, functors are only created as temporaries passed to algorithm * calls, rather than being created as named variables. * * Two examples taken from the standard itself follow. To perform a * by-element addition of two vectors @c a and @c b containing @c double, * and put the result in @c a, use * \code * transform (a.begin(), a.end(), b.begin(), a.begin(), plus<double>()); * \endcode * To negate every element in @c a, use * \code * transform(a.begin(), a.end(), a.begin(), negate<double>()); * \endcode * The addition and negation functions will be inlined directly. * * The standard functors are derived from structs named @c unary_function * and @c binary_function. These two classes contain nothing but typedefs, * to aid in generic (template) programming. If you write your own * functors, you might consider doing the same. * * @{ / /* * This is one of the @link functors functor base classes@endlink. / template<typename _Arg, typename _Result> struct unary_function { /// @c argument_type is the type of the argument typedef _Arg argument_type; /// @c result_type is the return type typedef _Result result_type; }; /* * This is one of the @link functors functor base classes@endlink. / template<typename _Arg1, typename _Arg2, typename _Result> struct binary_function { /// @c first_argument_type is the type of the first argument typedef _Arg1 first_argument_type; /// @c second_argument_type is the type of the second argument typedef _Arg2 second_argument_type; /// @c result_type is the return type typedef _Result result_type; }; /* @} / // 20.3.2 arithmetic /* @defgroup arithmetic_functors Arithmetic Classes * @ingroup functors * * Because basic math often needs to be done during an algorithm, * the library provides functors for those operations. See the * documentation for @link functors the base classes@endlink * for examples of their use. * * @{ / #if __cplusplus > 201103L struct __is_transparent; // undefined template<typename _Tp = void> struct plus; template<typename _Tp = void> struct minus; template<typename _Tp = void> struct multiplies; template<typename _Tp = void> struct divides; template<typename _Tp = void> struct modulus; template<typename _Tp = void> struct negate; #endif /// One of the @link arithmetic_functors math functors@endlink. template<typename _Tp> struct plus : public binary_function<_Tp, _Tp, _Tp> { _GLIBCXX14_CONSTEXPR _Tp operator()(const _Tp& __x, const _Tp& __y) const { return __x + __y; } }; /// One of the @link arithmetic_functors math functors@endlink. template<typename _Tp> struct minus : public binary_function<_Tp, _Tp, _Tp> { _GLIBCXX14_CONSTEXPR _Tp operator()(const _Tp& __x, const _Tp& __y) const { return __x - __y; } }; /// One of the @link arithmetic_functors math functors@endlink. template<typename _Tp> struct multiplies : public binary_function<_Tp, _Tp, _Tp> { _GLIBCXX14_CONSTEXPR _Tp operator()(const _Tp& __x, const _Tp& __y) const { return __x __y; } }; /// One of the @link arithmetic_functors math functors@endlink. template<typename _Tp> struct divides : public binary_function<_Tp, _Tp, _Tp> { _GLIBCXX14_CONSTEXPR _Tp operator()(const _Tp& __x, const _Tp& __y) const { return __x / __y; } }; /// One of the @link arithmetic_functors math functors@endlink. template<typename _Tp> struct modulus : public binary_function<_Tp, _Tp, _Tp> { _GLIBCXX14_CONSTEXPR _Tp operator()(const _Tp& __x, const _Tp& __y) const { return __x % __y; } }; /// One of the @link arithmetic_functors math functors@endlink. template<typename _Tp> struct negate : public unary_function<_Tp, _Tp> { _GLIBCXX14_CONSTEXPR _Tp operator()(const _Tp& __x) const { return -__x; } }; #if __cplusplus > 201103L #define __cpp_lib_transparent_operators 201510 template<> struct plus<void> { template <typename _Tp, typename _Up> _GLIBCXX14_CONSTEXPR auto operator()(_Tp&& __t, _Up&& __u) const noexcept(noexcept(std::forward<_Tp>(__t) + std::forward<_Up>(__u))) -> decltype(std::forward<_Tp>(__t) + std::forward<_Up>(__u)) { return std::forward<_Tp>(__t) + std::forward<_Up>(__u); } typedef __is_transparent is_transparent; }; /// One of the @link arithmetic_functors math functors@endlink. template<> struct minus<void> { template <typename _Tp, typename _Up> _GLIBCXX14_CONSTEXPR auto operator()(_Tp&& __t, _Up&& __u) const noexcept(noexcept(std::forward<_Tp>(__t) - std::forward<_Up>(__u))) -> decltype(std::forward<_Tp>(__t) - std::forward<_Up>(__u)) { return std::forward<_Tp>(__t) - std::forward<_Up>(__u); } typedef __is_transparent is_transparent; }; /// One of the @link arithmetic_functors math functors@endlink. template<> struct multiplies<void> { template <typename _Tp, typename _Up> _GLIBCXX14_CONSTEXPR auto operator()(_Tp&& __t, _Up&& __u) const noexcept(noexcept(std::forward<_Tp>(__t) * std::forward<_Up>(__u))) -> decltype(std::forward<_Tp>(__t) * std::forward<_Up>(__u)) { return std::forward<_Tp>(__t) * std::forward<_Up>(__u); } typedef __is_transparent is_transparent; }; /// One of the @link arithmetic_functors math functors@endlink. template<> struct divides<void> { template <typename _Tp, typename _Up> _GLIBCXX14_CONSTEXPR auto operator()(_Tp&& __t, _Up&& __u) const noexcept(noexcept(std::forward<_Tp>(__t) / std::forward<_Up>(__u))) -> decltype(std::forward<_Tp>(__t) / std::forward<_Up>(__u)) { return std::forward<_Tp>(__t) / std::forward<_Up>(__u); } typedef __is_transparent is_transparent; }; /// One of the @link arithmetic_functors math functors@endlink. template<> struct modulus<void> { template <typename _Tp, typename _Up> _GLIBCXX14_CONSTEXPR auto operator()(_Tp&& __t, _Up&& __u) const noexcept(noexcept(std::forward<_Tp>(__t) % std::forward<_Up>(__u))) -> decltype(std::forward<_Tp>(__t) % std::forward<_Up>(__u)) { return std::forward<_Tp>(__t) % std::forward<_Up>(__u); } typedef __is_transparent is_transparent; }; /// One of the @link arithmetic_functors math functors@endlink. template<> struct negate<void> { template <typename _Tp> _GLIBCXX14_CONSTEXPR auto operator()(_Tp&& __t) const noexcept(noexcept(-std::forward<_Tp>(__t))) -> decltype(-std::forward<_Tp>(__t)) { return -std::forward<_Tp>(__t); } typedef __is_transparent is_transparent; }; #endif /** @} / // 20.3.3 comparisons /* @defgroup comparison_functors Comparison Classes * @ingroup functors * * The library provides six wrapper functors for all the basic comparisons * in C++, like @c <. * * @{ / #if __cplusplus > 201103L template<typename _Tp = void> struct equal_to; template<typename _Tp = void> struct not_equal_to; template<typename _Tp = void> struct greater; template<typename _Tp = void> struct less; template<typename _Tp = void> struct greater_equal; template<typename _Tp = void> struct less_equal; #endif /// One of the @link comparison_functors comparison functors@endlink. template<typename _Tp> struct equal_to : public binary_function<_Tp, _Tp, bool> { _GLIBCXX14_CONSTEXPR bool operator()(const _Tp& __x, const _Tp& __y) const { return __x == __y; } }; /// One of the @link comparison_functors comparison functors@endlink. template<typename _Tp> struct not_equal_to : public binary_function<_Tp, _Tp, bool> { _GLIBCXX14_CONSTEXPR bool operator()(const _Tp& __x, const _Tp& __y) const { return __x != __y; } }; /// One of the @link comparison_functors comparison functors@endlink. template<typename _Tp> struct greater : public binary_function<_Tp, _Tp, bool> { _GLIBCXX14_CONSTEXPR bool operator()(const _Tp& __x, const _Tp& __y) const { return __x > __y; } }; /// One of the @link comparison_functors comparison functors@endlink. template<typename _Tp> struct less : public binary_function<_Tp, _Tp, bool> { _GLIBCXX14_CONSTEXPR bool operator()(const _Tp& __x, const _Tp& __y) const { return __x < __y; } }; /// One of the @link comparison_functors comparison functors@endlink. template<typename _Tp> struct greater_equal : public binary_function<_Tp, _Tp, bool> { _GLIBCXX14_CONSTEXPR bool operator()(const _Tp& __x, const _Tp& __y) const { return __x >= __y; } }; /// One of the @link comparison_functors comparison functors@endlink. template<typename _Tp> struct less_equal : public binary_function<_Tp, _Tp, bool> { _GLIBCXX14_CONSTEXPR bool operator()(const _Tp& __x, const _Tp& __y) const { return __x <= __y; } }; // Partial specialization of std::greater for pointers. template<typename _Tp> struct greater<_Tp> : public binary_function<_Tp, _Tp, bool> { _GLIBCXX14_CONSTEXPR bool operator()(_Tp* __x, _Tp* __y) const _GLIBCXX_NOTHROW { if (__builtin_constant_p (__x > __y)) return __x > __y; return (__UINTPTR_TYPE__)__x > (__UINTPTR_TYPE__)__y; } }; // Partial specialization of std::less for pointers. template<typename _Tp> struct less<_Tp> : public binary_function<_Tp, _Tp, bool> { _GLIBCXX14_CONSTEXPR bool operator()(_Tp __x, _Tp* __y) const _GLIBCXX_NOTHROW { if (__builtin_constant_p (__x < __y)) return __x < __y; return (__UINTPTR_TYPE__)__x < (__UINTPTR_TYPE__)__y; } }; // Partial specialization of std::greater_equal for pointers. template<typename _Tp> struct greater_equal<_Tp> : public binary_function<_Tp, _Tp, bool> { _GLIBCXX14_CONSTEXPR bool operator()(_Tp __x, _Tp* __y) const _GLIBCXX_NOTHROW { if (__builtin_constant_p (__x >= __y)) return __x >= __y; return (__UINTPTR_TYPE__)__x >= (__UINTPTR_TYPE__)__y; } }; // Partial specialization of std::less_equal for pointers. template<typename _Tp> struct less_equal<_Tp> : public binary_function<_Tp, _Tp, bool> { _GLIBCXX14_CONSTEXPR bool operator()(_Tp __x, _Tp* __y) const _GLIBCXX_NOTHROW { if (__builtin_constant_p (__x <= __y)) return __x <= __y; return (__UINTPTR_TYPE__)__x <= (__UINTPTR_TYPE__)__y; } }; #if __cplusplus >= 201402L /// One of the @link comparison_functors comparison functors@endlink. template<> struct equal_to<void> { template <typename _Tp, typename _Up> constexpr auto operator()(_Tp&& __t, _Up&& __u) const noexcept(noexcept(std::forward<_Tp>(__t) == std::forward<_Up>(__u))) -> decltype(std::forward<_Tp>(__t) == std::forward<_Up>(__u)) { return std::forward<_Tp>(__t) == std::forward<_Up>(__u); } typedef __is_transparent is_transparent; }; /// One of the @link comparison_functors comparison functors@endlink. template<> struct not_equal_to<void> { template <typename _Tp, typename _Up> constexpr auto operator()(_Tp&& __t, _Up&& __u) const noexcept(noexcept(std::forward<_Tp>(__t) != std::forward<_Up>(__u))) -> decltype(std::forward<_Tp>(__t) != std::forward<_Up>(__u)) { return std::forward<_Tp>(__t) != std::forward<_Up>(__u); } typedef __is_transparent is_transparent; }; /// One of the @link comparison_functors comparison functors@endlink. template<> struct greater<void> { template <typename _Tp, typename _Up> constexpr auto operator()(_Tp&& __t, _Up&& __u) const noexcept(noexcept(std::forward<_Tp>(__t) > std::forward<_Up>(__u))) -> decltype(std::forward<_Tp>(__t) > std::forward<_Up>(__u)) { return _S_cmp(std::forward<_Tp>(__t), std::forward<_Up>(__u), __ptr_cmp<_Tp, _Up>{}); } template<typename _Tp, typename _Up> constexpr bool operator()(_Tp* __t, _Up* __u) const noexcept { return greater<common_type_t<_Tp, _Up>>{}(__t, __u); } typedef __is_transparent is_transparent; private: template <typename _Tp, typename _Up> static constexpr decltype(auto) _S_cmp(_Tp&& __t, _Up&& __u, false_type) { return std::forward<_Tp>(__t) > std::forward<_Up>(__u); } template <typename _Tp, typename _Up> static constexpr bool _S_cmp(_Tp&& __t, _Up&& __u, true_type) noexcept { return greater<const volatile void>{}( static_cast<const volatile void>(std::forward<_Tp>(__t)), static_cast<const volatile void>(std::forward<_Up>(__u))); } // True if there is no viable operator> member function. template<typename _Tp, typename _Up, typename = void> struct __not_overloaded2 : true_type { }; // False if we can call T.operator>(U) template<typename _Tp, typename _Up> struct __not_overloaded2<_Tp, _Up, __void_t< decltype(std::declval<_Tp>().operator>(std::declval<_Up>()))>> : false_type { }; // True if there is no overloaded operator> for these operands. template<typename _Tp, typename _Up, typename = void> struct __not_overloaded : __not_overloaded2<_Tp, _Up> { }; // False if we can call operator>(T,U) template<typename _Tp, typename _Up> struct __not_overloaded<_Tp, _Up, __void_t< decltype(operator>(std::declval<_Tp>(), std::declval<_Up>()))>> : false_type { }; template<typename _Tp, typename _Up> using __ptr_cmp = __and_<__not_overloaded<_Tp, _Up>, is_convertible<_Tp, const volatile void>, is_convertible<_Up, const volatile void>>; }; /// One of the @link comparison_functors comparison functors@endlink. template<> struct less<void> { template <typename _Tp, typename _Up> constexpr auto operator()(_Tp&& __t, _Up&& __u) const noexcept(noexcept(std::forward<_Tp>(__t) < std::forward<_Up>(__u))) -> decltype(std::forward<_Tp>(__t) < std::forward<_Up>(__u)) { return _S_cmp(std::forward<_Tp>(__t), std::forward<_Up>(__u), __ptr_cmp<_Tp, _Up>{}); } template<typename _Tp, typename _Up> constexpr bool operator()(_Tp __t, _Up* __u) const noexcept { return less<common_type_t<_Tp, _Up>>{}(__t, __u); } typedef __is_transparent is_transparent; private: template <typename _Tp, typename _Up> static constexpr decltype(auto) _S_cmp(_Tp&& __t, _Up&& __u, false_type) { return std::forward<_Tp>(__t) < std::forward<_Up>(__u); } template <typename _Tp, typename _Up> static constexpr bool _S_cmp(_Tp&& __t, _Up&& __u, true_type) noexcept { return less<const volatile void>{}( static_cast<const volatile void>(std::forward<_Tp>(__t)), static_cast<const volatile void>(std::forward<_Up>(__u))); } // True if there is no viable operator< member function. template<typename _Tp, typename _Up, typename = void> struct __not_overloaded2 : true_type { }; // False if we can call T.operator<(U) template<typename _Tp, typename _Up> struct __not_overloaded2<_Tp, _Up, __void_t< decltype(std::declval<_Tp>().operator<(std::declval<_Up>()))>> : false_type { }; // True if there is no overloaded operator< for these operands. template<typename _Tp, typename _Up, typename = void> struct __not_overloaded : __not_overloaded2<_Tp, _Up> { }; // False if we can call operator<(T,U) template<typename _Tp, typename _Up> struct __not_overloaded<_Tp, _Up, __void_t< decltype(operator<(std::declval<_Tp>(), std::declval<_Up>()))>> : false_type { }; template<typename _Tp, typename _Up> using __ptr_cmp = __and_<__not_overloaded<_Tp, _Up>, is_convertible<_Tp, const volatile void>, is_convertible<_Up, const volatile void>>; }; /// One of the @link comparison_functors comparison functors@endlink. template<> struct greater_equal<void> { template <typename _Tp, typename _Up> constexpr auto operator()(_Tp&& __t, _Up&& __u) const noexcept(noexcept(std::forward<_Tp>(__t) >= std::forward<_Up>(__u))) -> decltype(std::forward<_Tp>(__t) >= std::forward<_Up>(__u)) { return _S_cmp(std::forward<_Tp>(__t), std::forward<_Up>(__u), __ptr_cmp<_Tp, _Up>{}); } template<typename _Tp, typename _Up> constexpr bool operator()(_Tp __t, _Up* __u) const noexcept { return greater_equal<common_type_t<_Tp, _Up>>{}(__t, __u); } typedef __is_transparent is_transparent; private: template <typename _Tp, typename _Up> static constexpr decltype(auto) _S_cmp(_Tp&& __t, _Up&& __u, false_type) { return std::forward<_Tp>(__t) >= std::forward<_Up>(__u); } template <typename _Tp, typename _Up> static constexpr bool _S_cmp(_Tp&& __t, _Up&& __u, true_type) noexcept { return greater_equal<const volatile void>{}( static_cast<const volatile void>(std::forward<_Tp>(__t)), static_cast<const volatile void>(std::forward<_Up>(__u))); } // True if there is no viable operator>= member function. template<typename _Tp, typename _Up, typename = void> struct __not_overloaded2 : true_type { }; // False if we can call T.operator>=(U) template<typename _Tp, typename _Up> struct __not_overloaded2<_Tp, _Up, __void_t< decltype(std::declval<_Tp>().operator>=(std::declval<_Up>()))>> : false_type { }; // True if there is no overloaded operator>= for these operands. template<typename _Tp, typename _Up, typename = void> struct __not_overloaded : __not_overloaded2<_Tp, _Up> { }; // False if we can call operator>=(T,U) template<typename _Tp, typename _Up> struct __not_overloaded<_Tp, _Up, __void_t< decltype(operator>=(std::declval<_Tp>(), std::declval<_Up>()))>> : false_type { }; template<typename _Tp, typename _Up> using __ptr_cmp = __and_<__not_overloaded<_Tp, _Up>, is_convertible<_Tp, const volatile void>, is_convertible<_Up, const volatile void>>; }; /// One of the @link comparison_functors comparison functors@endlink. template<> struct less_equal<void> { template <typename _Tp, typename _Up> constexpr auto operator()(_Tp&& __t, _Up&& __u) const noexcept(noexcept(std::forward<_Tp>(__t) <= std::forward<_Up>(__u))) -> decltype(std::forward<_Tp>(__t) <= std::forward<_Up>(__u)) { return _S_cmp(std::forward<_Tp>(__t), std::forward<_Up>(__u), __ptr_cmp<_Tp, _Up>{}); } template<typename _Tp, typename _Up> constexpr bool operator()(_Tp __t, _Up* __u) const noexcept { return less_equal<common_type_t<_Tp, _Up>>{}(__t, __u); } typedef __is_transparent is_transparent; private: template <typename _Tp, typename _Up> static constexpr decltype(auto) _S_cmp(_Tp&& __t, _Up&& __u, false_type) { return std::forward<_Tp>(__t) <= std::forward<_Up>(__u); } template <typename _Tp, typename _Up> static constexpr bool _S_cmp(_Tp&& __t, _Up&& __u, true_type) noexcept { return less_equal<const volatile void>{}( static_cast<const volatile void>(std::forward<_Tp>(__t)), static_cast<const volatile void>(std::forward<_Up>(__u))); } // True if there is no viable operator<= member function. template<typename _Tp, typename _Up, typename = void> struct __not_overloaded2 : true_type { }; // False if we can call T.operator<=(U) template<typename _Tp, typename _Up> struct __not_overloaded2<_Tp, _Up, __void_t< decltype(std::declval<_Tp>().operator<=(std::declval<_Up>()))>> : false_type { }; // True if there is no overloaded operator<= for these operands. template<typename _Tp, typename _Up, typename = void> struct __not_overloaded : __not_overloaded2<_Tp, _Up> { }; // False if we can call operator<=(T,U) template<typename _Tp, typename _Up> struct __not_overloaded<_Tp, _Up, __void_t< decltype(operator<=(std::declval<_Tp>(), std::declval<_Up>()))>> : false_type { }; template<typename _Tp, typename _Up> using __ptr_cmp = __and_<__not_overloaded<_Tp, _Up>, is_convertible<_Tp, const volatile void>, is_convertible<_Up, const volatile void>>; }; #endif // C++14 /* @} / // 20.3.4 logical operations /* @defgroup logical_functors Boolean Operations Classes * @ingroup functors * * Here are wrapper functors for Boolean operations: @c &&, @c \|\|, * and @c !. * * @{ / #if __cplusplus > 201103L template<typename _Tp = void> struct logical_and; template<typename _Tp = void> struct logical_or; template<typename _Tp = void> struct logical_not; #endif /// One of the @link logical_functors Boolean operations functors@endlink. template<typename _Tp> struct logical_and : public binary_function<_Tp, _Tp, bool> { _GLIBCXX14_CONSTEXPR bool operator()(const _Tp& __x, const _Tp& __y) const { return __x && __y; } }; /// One of the @link logical_functors Boolean operations functors@endlink. template<typename _Tp> struct logical_or : public binary_function<_Tp, _Tp, bool> { _GLIBCXX14_CONSTEXPR bool operator()(const _Tp& __x, const _Tp& __y) const { return __x \|\| __y; } }; /// One of the @link logical_functors Boolean operations functors@endlink. template<typename _Tp> struct logical_not : public unary_function<_Tp, bool> { _GLIBCXX14_CONSTEXPR bool operator()(const _Tp& __x) const { return !__x; } }; #if __cplusplus > 201103L /// One of the @link logical_functors Boolean operations functors@endlink. template<> struct logical_and<void> { template <typename _Tp, typename _Up> _GLIBCXX14_CONSTEXPR auto operator()(_Tp&& __t, _Up&& __u) const noexcept(noexcept(std::forward<_Tp>(__t) && std::forward<_Up>(__u))) -> decltype(std::forward<_Tp>(__t) && std::forward<_Up>(__u)) { return std::forward<_Tp>(__t) && std::forward<_Up>(__u); } typedef __is_transparent is_transparent; }; /// One of the @link logical_functors Boolean operations functors@endlink. template<> struct logical_or<void> { template <typename _Tp, typename _Up> _GLIBCXX14_CONSTEXPR auto operator()(_Tp&& __t, _Up&& __u) const noexcept(noexcept(std::forward<_Tp>(__t) \|\| std::forward<_Up>(__u))) -> decltype(std::forward<_Tp>(__t) \|\| std::forward<_Up>(__u)) { return std::forward<_Tp>(__t) \|\| std::forward<_Up>(__u); } typedef __is_transparent is_transparent; }; /// One of the @link logical_functors Boolean operations functors@endlink. template<> struct logical_not<void> { template <typename _Tp> _GLIBCXX14_CONSTEXPR auto operator()(_Tp&& __t) const noexcept(noexcept(!std::forward<_Tp>(__t))) -> decltype(!std::forward<_Tp>(__t)) { return !std::forward<_Tp>(__t); } typedef __is_transparent is_transparent; }; #endif /* @} / #if __cplusplus > 201103L template<typename _Tp = void> struct bit_and; template<typename _Tp = void> struct bit_or; template<typename _Tp = void> struct bit_xor; template<typename _Tp = void> struct bit_not; #endif // _GLIBCXX_RESOLVE_LIB_DEFECTS // DR 660. Missing Bitwise Operations. template<typename _Tp> struct bit_and : public binary_function<_Tp, _Tp, _Tp> { _GLIBCXX14_CONSTEXPR _Tp operator()(const _Tp& __x, const _Tp& __y) const { return __x & __y; } }; template<typename _Tp> struct bit_or : public binary_function<_Tp, _Tp, _Tp> { _GLIBCXX14_CONSTEXPR _Tp operator()(const _Tp& __x, const _Tp& __y) const { return __x \| __y; } }; template<typename _Tp> struct bit_xor : public binary_function<_Tp, _Tp, _Tp> { _GLIBCXX14_CONSTEXPR _Tp operator()(const _Tp& __x, const _Tp& __y) const { return __x ^ __y; } }; template<typename _Tp> struct bit_not : public unary_function<_Tp, _Tp> { _GLIBCXX14_CONSTEXPR _Tp operator()(const _Tp& __x) const { return ~__x; } }; #if __cplusplus > 201103L template <> struct bit_and<void> { template <typename _Tp, typename _Up> _GLIBCXX14_CONSTEXPR auto operator()(_Tp&& __t, _Up&& __u) const noexcept(noexcept(std::forward<_Tp>(__t) & std::forward<_Up>(__u))) -> decltype(std::forward<_Tp>(__t) & std::forward<_Up>(__u)) { return std::forward<_Tp>(__t) & std::forward<_Up>(__u); } typedef __is_transparent is_transparent; }; template <> struct bit_or<void> { template <typename _Tp, typename _Up> _GLIBCXX14_CONSTEXPR auto operator()(_Tp&& __t, _Up&& __u) const noexcept(noexcept(std::forward<_Tp>(__t) \| std::forward<_Up>(__u))) -> decltype(std::forward<_Tp>(__t) \| std::forward<_Up>(__u)) { return std::forward<_Tp>(__t) \| std::forward<_Up>(__u); } typedef __is_transparent is_transparent; }; template <> struct bit_xor<void> { template <typename _Tp, typename _Up> _GLIBCXX14_CONSTEXPR auto operator()(_Tp&& __t, _Up&& __u) const noexcept(noexcept(std::forward<_Tp>(__t) ^ std::forward<_Up>(__u))) -> decltype(std::forward<_Tp>(__t) ^ std::forward<_Up>(__u)) { return std::forward<_Tp>(__t) ^ std::forward<_Up>(__u); } typedef __is_transparent is_transparent; }; template <> struct bit_not<void> { template <typename _Tp> _GLIBCXX14_CONSTEXPR auto operator()(_Tp&& __t) const noexcept(noexcept(~std::forward<_Tp>(__t))) -> decltype(~std::forward<_Tp>(__t)) { return ~std::forward<_Tp>(__t); } typedef __is_transparent is_transparent; }; #endif // 20.3.5 negators /* @defgroup negators Negators * @ingroup functors * * The functions @c not1 and @c not2 each take a predicate functor * and return an instance of @c unary_negate or * @c binary_negate, respectively. These classes are functors whose * @c operator() performs the stored predicate function and then returns * the negation of the result. * * For example, given a vector of integers and a trivial predicate, * \code * struct IntGreaterThanThree * : public std::unary_function<int, bool> * { * bool operator() (int x) { return x > 3; } * }; * * std::find_if (v.begin(), v.end(), not1(IntGreaterThanThree())); * \endcode * The call to @c find_if will locate the first index (i) of @c v for which * <code>!(v[i] > 3)</code> is true. * * The not1/unary_negate combination works on predicates taking a single * argument. The not2/binary_negate combination works on predicates which * take two arguments. * * @{ / /// One of the @link negators negation functors@endlink. template<typename _Predicate> class unary_negate : public unary_function<typename _Predicate::argument_type, bool> { protected: _Predicate _M_pred; public: _GLIBCXX14_CONSTEXPR explicit unary_negate(const _Predicate& __x) : _M_pred(__x) { } _GLIBCXX14_CONSTEXPR bool operator()(const typename _Predicate::argument_type& __x) const { return !_M_pred(__x); } }; /// One of the @link negators negation functors@endlink. template<typename _Predicate> _GLIBCXX14_CONSTEXPR inline unary_negate<_Predicate> not1(const _Predicate& __pred) { return unary_negate<_Predicate>(__pred); } /// One of the @link negators negation functors@endlink. template<typename _Predicate> class binary_negate : public binary_function<typename _Predicate::first_argument_type, typename _Predicate::second_argument_type, bool> { protected: _Predicate _M_pred; public: _GLIBCXX14_CONSTEXPR explicit binary_negate(const _Predicate& __x) : _M_pred(__x) { } _GLIBCXX14_CONSTEXPR bool operator()(const typename _Predicate::first_argument_type& __x, const typename _Predicate::second_argument_type& __y) const { return !_M_pred(__x, __y); } }; /// One of the @link negators negation functors@endlink. template<typename _Predicate> _GLIBCXX14_CONSTEXPR inline binary_negate<_Predicate> not2(const _Predicate& __pred) { return binary_negate<_Predicate>(__pred); } /* @} / // 20.3.7 adaptors pointers functions /* @defgroup pointer_adaptors Adaptors for pointers to functions * @ingroup functors * * The advantage of function objects over pointers to functions is that * the objects in the standard library declare nested typedefs describing * their argument and result types with uniform names (e.g., @c result_type * from the base classes @c unary_function and @c binary_function). * Sometimes those typedefs are required, not just optional. * * Adaptors are provided to turn pointers to unary (single-argument) and * binary (double-argument) functions into function objects. The * long-winded functor @c pointer_to_unary_function is constructed with a * function pointer @c f, and its @c operator() called with argument @c x * returns @c f(x). The functor @c pointer_to_binary_function does the same * thing, but with a double-argument @c f and @c operator(). * * The function @c ptr_fun takes a pointer-to-function @c f and constructs * an instance of the appropriate functor. * * @{ / /// One of the @link pointer_adaptors adaptors for function pointers@endlink. template<typename _Arg, typename _Result> class pointer_to_unary_function : public unary_function<_Arg, _Result> { protected: _Result (_M_ptr)(_Arg); public: pointer_to_unary_function() { } explicit pointer_to_unary_function(_Result (__x)(_Arg)) : _M_ptr(__x) { } _Result operator()(_Arg __x) const { return _M_ptr(__x); } }; /// One of the @link pointer_adaptors adaptors for function pointers@endlink. template<typename _Arg, typename _Result> inline pointer_to_unary_function<_Arg, _Result> ptr_fun(_Result (__x)(_Arg)) { return pointer_to_unary_function<_Arg, _Result>(__x); } /// One of the @link pointer_adaptors adaptors for function pointers@endlink. template<typename _Arg1, typename _Arg2, typename _Result> class pointer_to_binary_function : public binary_function<_Arg1, _Arg2, _Result> { protected: _Result (_M_ptr)(_Arg1, _Arg2); public: pointer_to_binary_function() { } explicit pointer_to_binary_function(_Result (__x)(_Arg1, _Arg2)) : _M_ptr(__x) { } _Result operator()(_Arg1 __x, _Arg2 __y) const { return _M_ptr(__x, __y); } }; /// One of the @link pointer_adaptors adaptors for function pointers@endlink. template<typename _Arg1, typename _Arg2, typename _Result> inline pointer_to_binary_function<_Arg1, _Arg2, _Result> ptr_fun(_Result (__x)(_Arg1, _Arg2)) { return pointer_to_binary_function<_Arg1, _Arg2, _Result>(__x); } /* @} / template<typename _Tp> struct _Identity : public unary_function<_Tp, _Tp> { _Tp& operator()(_Tp& __x) const { return __x; } const _Tp& operator()(const _Tp& __x) const { return __x; } }; // Partial specialization, avoids confusing errors in e.g. std::set<const T>. template<typename _Tp> struct _Identity<const _Tp> : _Identity<_Tp> { }; template<typename _Pair> struct _Select1st : public unary_function<_Pair, typename _Pair::first_type> { typename _Pair::first_type& operator()(_Pair& __x) const { return __x.first; } const typename _Pair::first_type& operator()(const _Pair& __x) const { return __x.first; } #if __cplusplus >= 201103L template<typename _Pair2> typename _Pair2::first_type& operator()(_Pair2& __x) const { return __x.first; } template<typename _Pair2> const typename _Pair2::first_type& operator()(const _Pair2& __x) const { return __x.first; } #endif }; template<typename _Pair> struct _Select2nd : public unary_function<_Pair, typename _Pair::second_type> { typename _Pair::second_type& operator()(_Pair& __x) const { return __x.second; } const typename _Pair::second_type& operator()(const _Pair& __x) const { return __x.second; } }; // 20.3.8 adaptors pointers members /* @defgroup memory_adaptors Adaptors for pointers to members * @ingroup functors * * There are a total of 8 = 2^3 function objects in this family. * (1) Member functions taking no arguments vs member functions taking * one argument. * (2) Call through pointer vs call through reference. * (3) Const vs non-const member function. * * All of this complexity is in the function objects themselves. You can * ignore it by using the helper function mem_fun and mem_fun_ref, * which create whichever type of adaptor is appropriate. * * @{ / /// One of the @link memory_adaptors adaptors for member /// pointers@endlink. template<typename _Ret, typename _Tp> class mem_fun_t : public unary_function<_Tp, _Ret> { public: explicit mem_fun_t(_Ret (_Tp::__pf)()) : _M_f(__pf) { } _Ret operator()(_Tp __p) const { return (__p->_M_f)(); } private: _Ret (_Tp::_M_f)(); }; /// One of the @link memory_adaptors adaptors for member /// pointers@endlink. template<typename _Ret, typename _Tp> class const_mem_fun_t : public unary_function<const _Tp, _Ret> { public: explicit const_mem_fun_t(_Ret (_Tp::__pf)() const) : _M_f(__pf) { } _Ret operator()(const _Tp* __p) const { return (__p->_M_f)(); } private: _Ret (_Tp::_M_f)() const; }; /// One of the @link memory_adaptors adaptors for member /// pointers@endlink. template<typename _Ret, typename _Tp> class mem_fun_ref_t : public unary_function<_Tp, _Ret> { public: explicit mem_fun_ref_t(_Ret (_Tp::__pf)()) : _M_f(__pf) { } _Ret operator()(_Tp& __r) const { return (__r._M_f)(); } private: _Ret (_Tp::_M_f)(); }; /// One of the @link memory_adaptors adaptors for member /// pointers@endlink. template<typename _Ret, typename _Tp> class const_mem_fun_ref_t : public unary_function<_Tp, _Ret> { public: explicit const_mem_fun_ref_t(_Ret (_Tp::__pf)() const) : _M_f(__pf) { } _Ret operator()(const _Tp& __r) const { return (__r._M_f)(); } private: _Ret (_Tp::_M_f)() const; }; /// One of the @link memory_adaptors adaptors for member /// pointers@endlink. template<typename _Ret, typename _Tp, typename _Arg> class mem_fun1_t : public binary_function<_Tp, _Arg, _Ret> { public: explicit mem_fun1_t(_Ret (_Tp::__pf)(_Arg)) : _M_f(__pf) { } _Ret operator()(_Tp* __p, _Arg __x) const { return (__p->_M_f)(__x); } private: _Ret (_Tp::_M_f)(_Arg); }; /// One of the @link memory_adaptors adaptors for member /// pointers@endlink. template<typename _Ret, typename _Tp, typename _Arg> class const_mem_fun1_t : public binary_function<const _Tp, _Arg, _Ret> { public: explicit const_mem_fun1_t(_Ret (_Tp::__pf)(_Arg) const) : _M_f(__pf) { } _Ret operator()(const _Tp* __p, _Arg __x) const { return (__p->_M_f)(__x); } private: _Ret (_Tp::_M_f)(_Arg) const; }; /// One of the @link memory_adaptors adaptors for member /// pointers@endlink. template<typename _Ret, typename _Tp, typename _Arg> class mem_fun1_ref_t : public binary_function<_Tp, _Arg, _Ret> { public: explicit mem_fun1_ref_t(_Ret (_Tp::__pf)(_Arg)) : _M_f(__pf) { } _Ret operator()(_Tp& __r, _Arg __x) const { return (__r._M_f)(__x); } private: _Ret (_Tp::_M_f)(_Arg); }; /// One of the @link memory_adaptors adaptors for member /// pointers@endlink. template<typename _Ret, typename _Tp, typename _Arg> class const_mem_fun1_ref_t : public binary_function<_Tp, _Arg, _Ret> { public: explicit const_mem_fun1_ref_t(_Ret (_Tp::__pf)(_Arg) const) : _M_f(__pf) { } _Ret operator()(const _Tp& __r, _Arg __x) const { return (__r._M_f)(__x); } private: _Ret (_Tp::_M_f)(_Arg) const; }; // Mem_fun adaptor helper functions. There are only two: // mem_fun and mem_fun_ref. template<typename _Ret, typename _Tp> inline mem_fun_t<_Ret, _Tp> mem_fun(_Ret (_Tp::__f)()) { return mem_fun_t<_Ret, _Tp>(__f); } template<typename _Ret, typename _Tp> inline const_mem_fun_t<_Ret, _Tp> mem_fun(_Ret (_Tp::__f)() const) { return const_mem_fun_t<_Ret, _Tp>(__f); } template<typename _Ret, typename _Tp> inline mem_fun_ref_t<_Ret, _Tp> mem_fun_ref(_Ret (_Tp::__f)()) { return mem_fun_ref_t<_Ret, _Tp>(__f); } template<typename _Ret, typename _Tp> inline const_mem_fun_ref_t<_Ret, _Tp> mem_fun_ref(_Ret (_Tp::__f)() const) { return const_mem_fun_ref_t<_Ret, _Tp>(__f); } template<typename _Ret, typename _Tp, typename _Arg> inline mem_fun1_t<_Ret, _Tp, _Arg> mem_fun(_Ret (_Tp::__f)(_Arg)) { return mem_fun1_t<_Ret, _Tp, _Arg>(__f); } template<typename _Ret, typename _Tp, typename _Arg> inline const_mem_fun1_t<_Ret, _Tp, _Arg> mem_fun(_Ret (_Tp::__f)(_Arg) const) { return const_mem_fun1_t<_Ret, _Tp, _Arg>(__f); } template<typename _Ret, typename _Tp, typename _Arg> inline mem_fun1_ref_t<_Ret, _Tp, _Arg> mem_fun_ref(_Ret (_Tp::__f)(_Arg)) { return mem_fun1_ref_t<_Ret, _Tp, _Arg>(__f); } template<typename _Ret, typename _Tp, typename _Arg> inline const_mem_fun1_ref_t<_Ret, _Tp, _Arg> mem_fun_ref(_Ret (_Tp::__f)(_Arg) const) { return const_mem_fun1_ref_t<_Ret, _Tp, _Arg>(__f); } /** @} / _GLIBCXX_END_NAMESPACE_VERSION } // namespace #if (__cplusplus < 201103L) \|\| _GLIBCXX_USE_DEPRECATED # include <backward/binders.h> #endif #endif / _STL_FUNCTION_H */ Back

Edit File : stl_function.h | Size : 40.77 KB

// Functor implementations -*- C++ -*-

// Copyright (C) 2001-2018 Free Software Foundation, Inc.
//
// This file is part of the GNU ISO C++ Library.  This library is free
// software; you can redistribute it and/or modify it under the
// terms of the GNU General Public License as published by the
// Free Software Foundation; either version 3, or (at your option)
// any later version.

// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// Under Section 7 of GPL version 3, you are granted additional
// permissions described in the GCC Runtime Library Exception, version
// 3.1, as published by the Free Software Foundation.

// You should have received a copy of the GNU General Public License and
// a copy of the GCC Runtime Library Exception along with this program;
// see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
// <http://www.gnu.org/licenses/>.

/*
 *
 * Copyright (c) 1994
 * Hewlett-Packard Company
 *
 * Permission to use, copy, modify, distribute and sell this software
 * and its documentation for any purpose is hereby granted without fee,
 * provided that the above copyright notice appear in all copies and
 * that both that copyright notice and this permission notice appear
 * in supporting documentation.  Hewlett-Packard Company makes no
 * representations about the suitability of this software for any
 * purpose.  It is provided "as is" without express or implied warranty.
 *
 *
 * Copyright (c) 1996-1998
 * Silicon Graphics Computer Systems, Inc.
 *
 * Permission to use, copy, modify, distribute and sell this software
 * and its documentation for any purpose is hereby granted without fee,
 * provided that the above copyright notice appear in all copies and
 * that both that copyright notice and this permission notice appear
 * in supporting documentation.  Silicon Graphics makes no
 * representations about the suitability of this software for any
 * purpose.  It is provided "as is" without express or implied warranty.
 */

/** @file bits/stl_function.h
 *  This is an internal header file, included by other library headers.
 *  Do not attempt to use it directly. @headername{functional}
 */

#ifndef _STL_FUNCTION_H
#define _STL_FUNCTION_H 1

#if __cplusplus > 201103L
#include <bits/move.h>
#endif

namespace std _GLIBCXX_VISIBILITY(default)
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION

// 20.3.1 base classes
  /** @defgroup functors Function Objects
   * @ingroup utilities
   *
   *  Function objects, or @e functors, are objects with an @c operator()
   *  defined and accessible.  They can be passed as arguments to algorithm
   *  templates and used in place of a function pointer.  Not only is the
   *  resulting expressiveness of the library increased, but the generated
   *  code can be more efficient than what you might write by hand.  When we
   *  refer to @a functors, then, generally we include function pointers in
   *  the description as well.
   *
   *  Often, functors are only created as temporaries passed to algorithm
   *  calls, rather than being created as named variables.
   *
   *  Two examples taken from the standard itself follow.  To perform a
   *  by-element addition of two vectors @c a and @c b containing @c double,
   *  and put the result in @c a, use
   *  \code
   *  transform (a.begin(), a.end(), b.begin(), a.begin(), plus<double>());
   *  \endcode
   *  To negate every element in @c a, use
   *  \code
   *  transform(a.begin(), a.end(), a.begin(), negate<double>());
   *  \endcode
   *  The addition and negation functions will be inlined directly.
   *
   *  The standard functors are derived from structs named @c unary_function
   *  and @c binary_function.  These two classes contain nothing but typedefs,
   *  to aid in generic (template) programming.  If you write your own
   *  functors, you might consider doing the same.
   *
   *  @{
   */
  /**
   *  This is one of the @link functors functor base classes@endlink.
   */
  template<typename _Arg, typename _Result>
    struct unary_function
    {
      /// @c argument_type is the type of the argument
      typedef _Arg 	argument_type;

/// @c result_type is the return type
      typedef _Result 	result_type;  
    };

/**
   *  This is one of the @link functors functor base classes@endlink.
   */
  template<typename _Arg1, typename _Arg2, typename _Result>
    struct binary_function
    {
      /// @c first_argument_type is the type of the first argument
      typedef _Arg1 	first_argument_type;

/// @c second_argument_type is the type of the second argument
      typedef _Arg2 	second_argument_type;

/// @c result_type is the return type
      typedef _Result 	result_type;
    };
  /** @}  */

// 20.3.2 arithmetic
  /** @defgroup arithmetic_functors Arithmetic Classes
   * @ingroup functors
   *
   *  Because basic math often needs to be done during an algorithm,
   *  the library provides functors for those operations.  See the
   *  documentation for @link functors the base classes@endlink
   *  for examples of their use.
   *
   *  @{
   */

#if __cplusplus > 201103L
  struct __is_transparent;  // undefined

template<typename _Tp = void>
    struct plus;

template<typename _Tp = void>
    struct minus;

template<typename _Tp = void>
    struct multiplies;

template<typename _Tp = void>
    struct divides;

template<typename _Tp = void>
    struct modulus;

template<typename _Tp = void>
    struct negate;
#endif

/// One of the @link arithmetic_functors math functors@endlink.
  template<typename _Tp>
    struct plus : public binary_function<_Tp, _Tp, _Tp>
    {
      _GLIBCXX14_CONSTEXPR
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x + __y; }
    };

/// One of the @link arithmetic_functors math functors@endlink.
  template<typename _Tp>
    struct minus : public binary_function<_Tp, _Tp, _Tp>
    {
      _GLIBCXX14_CONSTEXPR
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x - __y; }
    };

/// One of the @link arithmetic_functors math functors@endlink.
  template<typename _Tp>
    struct multiplies : public binary_function<_Tp, _Tp, _Tp>
    {
      _GLIBCXX14_CONSTEXPR
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x * __y; }
    };

/// One of the @link arithmetic_functors math functors@endlink.
  template<typename _Tp>
    struct divides : public binary_function<_Tp, _Tp, _Tp>
    {
      _GLIBCXX14_CONSTEXPR
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x / __y; }
    };

/// One of the @link arithmetic_functors math functors@endlink.
  template<typename _Tp>
    struct modulus : public binary_function<_Tp, _Tp, _Tp>
    {
      _GLIBCXX14_CONSTEXPR
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x % __y; }
    };

/// One of the @link arithmetic_functors math functors@endlink.
  template<typename _Tp>
    struct negate : public unary_function<_Tp, _Tp>
    {
      _GLIBCXX14_CONSTEXPR
      _Tp
      operator()(const _Tp& __x) const
      { return -__x; }
    };

#if __cplusplus > 201103L

#define __cpp_lib_transparent_operators 201510

template<>
    struct plus<void>
    {
      template <typename _Tp, typename _Up>
	_GLIBCXX14_CONSTEXPR
	auto
	operator()(_Tp&& __t, _Up&& __u) const
	noexcept(noexcept(std::forward<_Tp>(__t) + std::forward<_Up>(__u)))
	-> decltype(std::forward<_Tp>(__t) + std::forward<_Up>(__u))
	{ return std::forward<_Tp>(__t) + std::forward<_Up>(__u); }

typedef __is_transparent is_transparent;
    };

/// One of the @link arithmetic_functors math functors@endlink.
  template<>
    struct minus<void>
    {
      template <typename _Tp, typename _Up>
	_GLIBCXX14_CONSTEXPR
	auto
	operator()(_Tp&& __t, _Up&& __u) const
	noexcept(noexcept(std::forward<_Tp>(__t) - std::forward<_Up>(__u)))
	-> decltype(std::forward<_Tp>(__t) - std::forward<_Up>(__u))
	{ return std::forward<_Tp>(__t) - std::forward<_Up>(__u); }

typedef __is_transparent is_transparent;
    };

/// One of the @link arithmetic_functors math functors@endlink.
  template<>
    struct multiplies<void>
    {
      template <typename _Tp, typename _Up>
	_GLIBCXX14_CONSTEXPR
	auto
	operator()(_Tp&& __t, _Up&& __u) const
	noexcept(noexcept(std::forward<_Tp>(__t) * std::forward<_Up>(__u)))
	-> decltype(std::forward<_Tp>(__t) * std::forward<_Up>(__u))
	{ return std::forward<_Tp>(__t) * std::forward<_Up>(__u); }

typedef __is_transparent is_transparent;
    };

/// One of the @link arithmetic_functors math functors@endlink.
  template<>
    struct divides<void>
    {
      template <typename _Tp, typename _Up>
	_GLIBCXX14_CONSTEXPR
	auto
	operator()(_Tp&& __t, _Up&& __u) const
	noexcept(noexcept(std::forward<_Tp>(__t) / std::forward<_Up>(__u)))
	-> decltype(std::forward<_Tp>(__t) / std::forward<_Up>(__u))
	{ return std::forward<_Tp>(__t) / std::forward<_Up>(__u); }

typedef __is_transparent is_transparent;
    };

/// One of the @link arithmetic_functors math functors@endlink.
  template<>
    struct modulus<void>
    {
      template <typename _Tp, typename _Up>
	_GLIBCXX14_CONSTEXPR
	auto
	operator()(_Tp&& __t, _Up&& __u) const
	noexcept(noexcept(std::forward<_Tp>(__t) % std::forward<_Up>(__u)))
	-> decltype(std::forward<_Tp>(__t) % std::forward<_Up>(__u))
	{ return std::forward<_Tp>(__t) % std::forward<_Up>(__u); }

typedef __is_transparent is_transparent;
    };

/// One of the @link arithmetic_functors math functors@endlink.
  template<>
    struct negate<void>
    {
      template <typename _Tp>
	_GLIBCXX14_CONSTEXPR
	auto
	operator()(_Tp&& __t) const
	noexcept(noexcept(-std::forward<_Tp>(__t)))
	-> decltype(-std::forward<_Tp>(__t))
	{ return -std::forward<_Tp>(__t); }

typedef __is_transparent is_transparent;
    };
#endif
  /** @}  */

// 20.3.3 comparisons
  /** @defgroup comparison_functors Comparison Classes
   * @ingroup functors
   *
   *  The library provides six wrapper functors for all the basic comparisons
   *  in C++, like @c <.
   *
   *  @{
   */
#if __cplusplus > 201103L
  template<typename _Tp = void>
    struct equal_to;

template<typename _Tp = void>
    struct not_equal_to;

template<typename _Tp = void>
    struct greater;

template<typename _Tp = void>
    struct less;

template<typename _Tp = void>
    struct greater_equal;

template<typename _Tp = void>
    struct less_equal;
#endif

/// One of the @link comparison_functors comparison functors@endlink.
  template<typename _Tp>
    struct equal_to : public binary_function<_Tp, _Tp, bool>
    {
      _GLIBCXX14_CONSTEXPR
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x == __y; }
    };

/// One of the @link comparison_functors comparison functors@endlink.
  template<typename _Tp>
    struct not_equal_to : public binary_function<_Tp, _Tp, bool>
    {
      _GLIBCXX14_CONSTEXPR
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x != __y; }
    };

/// One of the @link comparison_functors comparison functors@endlink.
  template<typename _Tp>
    struct greater : public binary_function<_Tp, _Tp, bool>
    {
      _GLIBCXX14_CONSTEXPR
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x > __y; }
    };

/// One of the @link comparison_functors comparison functors@endlink.
  template<typename _Tp>
    struct less : public binary_function<_Tp, _Tp, bool>
    {
      _GLIBCXX14_CONSTEXPR
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x < __y; }
    };

/// One of the @link comparison_functors comparison functors@endlink.
  template<typename _Tp>
    struct greater_equal : public binary_function<_Tp, _Tp, bool>
    {
      _GLIBCXX14_CONSTEXPR
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x >= __y; }
    };

/// One of the @link comparison_functors comparison functors@endlink.
  template<typename _Tp>
    struct less_equal : public binary_function<_Tp, _Tp, bool>
    {
      _GLIBCXX14_CONSTEXPR
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x <= __y; }
    };

// Partial specialization of std::greater for pointers.
  template<typename _Tp>
    struct greater<_Tp*> : public binary_function<_Tp*, _Tp*, bool>
    {
      _GLIBCXX14_CONSTEXPR bool
      operator()(_Tp* __x, _Tp* __y) const _GLIBCXX_NOTHROW
      {
	if (__builtin_constant_p (__x > __y))
	  return __x > __y;
	return (__UINTPTR_TYPE__)__x > (__UINTPTR_TYPE__)__y;
      }
    };

// Partial specialization of std::less for pointers.
  template<typename _Tp>
    struct less<_Tp*> : public binary_function<_Tp*, _Tp*, bool>
    {
      _GLIBCXX14_CONSTEXPR bool
      operator()(_Tp* __x, _Tp* __y) const _GLIBCXX_NOTHROW
      {
	if (__builtin_constant_p (__x < __y))
	  return __x < __y;
	return (__UINTPTR_TYPE__)__x < (__UINTPTR_TYPE__)__y;
      }
    };

// Partial specialization of std::greater_equal for pointers.
  template<typename _Tp>
    struct greater_equal<_Tp*> : public binary_function<_Tp*, _Tp*, bool>
    {
      _GLIBCXX14_CONSTEXPR bool
      operator()(_Tp* __x, _Tp* __y) const _GLIBCXX_NOTHROW
      {
	if (__builtin_constant_p (__x >= __y))
	  return __x >= __y;
	return (__UINTPTR_TYPE__)__x >= (__UINTPTR_TYPE__)__y;
      }
    };

// Partial specialization of std::less_equal for pointers.
  template<typename _Tp>
    struct less_equal<_Tp*> : public binary_function<_Tp*, _Tp*, bool>
    {
      _GLIBCXX14_CONSTEXPR bool
      operator()(_Tp* __x, _Tp* __y) const _GLIBCXX_NOTHROW
      {
	if (__builtin_constant_p (__x <= __y))
	  return __x <= __y;
	return (__UINTPTR_TYPE__)__x <= (__UINTPTR_TYPE__)__y;
      }
    };

#if __cplusplus >= 201402L
  /// One of the @link comparison_functors comparison functors@endlink.
  template<>
    struct equal_to<void>
    {
      template <typename _Tp, typename _Up>
	constexpr auto
	operator()(_Tp&& __t, _Up&& __u) const
	noexcept(noexcept(std::forward<_Tp>(__t) == std::forward<_Up>(__u)))
	-> decltype(std::forward<_Tp>(__t) == std::forward<_Up>(__u))
	{ return std::forward<_Tp>(__t) == std::forward<_Up>(__u); }

typedef __is_transparent is_transparent;
    };

/// One of the @link comparison_functors comparison functors@endlink.
  template<>
    struct not_equal_to<void>
    {
      template <typename _Tp, typename _Up>
	constexpr auto
	operator()(_Tp&& __t, _Up&& __u) const
	noexcept(noexcept(std::forward<_Tp>(__t) != std::forward<_Up>(__u)))
	-> decltype(std::forward<_Tp>(__t) != std::forward<_Up>(__u))
	{ return std::forward<_Tp>(__t) != std::forward<_Up>(__u); }

typedef __is_transparent is_transparent;
    };

/// One of the @link comparison_functors comparison functors@endlink.
  template<>
    struct greater<void>
    {
      template <typename _Tp, typename _Up>
	constexpr auto
	operator()(_Tp&& __t, _Up&& __u) const
	noexcept(noexcept(std::forward<_Tp>(__t) > std::forward<_Up>(__u)))
	-> decltype(std::forward<_Tp>(__t) > std::forward<_Up>(__u))
	{
	  return _S_cmp(std::forward<_Tp>(__t), std::forward<_Up>(__u),
			__ptr_cmp<_Tp, _Up>{});
	}

template<typename _Tp, typename _Up>
	constexpr bool
	operator()(_Tp* __t, _Up* __u) const noexcept
	{ return greater<common_type_t<_Tp*, _Up*>>{}(__t, __u); }

typedef __is_transparent is_transparent;

private:
      template <typename _Tp, typename _Up>
	static constexpr decltype(auto)
	_S_cmp(_Tp&& __t, _Up&& __u, false_type)
	{ return std::forward<_Tp>(__t) > std::forward<_Up>(__u); }

template <typename _Tp, typename _Up>
	static constexpr bool
	_S_cmp(_Tp&& __t, _Up&& __u, true_type) noexcept
	{
	  return greater<const volatile void*>{}(
	      static_cast<const volatile void*>(std::forward<_Tp>(__t)),
	      static_cast<const volatile void*>(std::forward<_Up>(__u)));
	}

// True if there is no viable operator> member function.
      template<typename _Tp, typename _Up, typename = void>
	struct __not_overloaded2 : true_type { };

// False if we can call T.operator>(U)
      template<typename _Tp, typename _Up>
	struct __not_overloaded2<_Tp, _Up, __void_t<
	  decltype(std::declval<_Tp>().operator>(std::declval<_Up>()))>>
	: false_type { };

// True if there is no overloaded operator> for these operands.
      template<typename _Tp, typename _Up, typename = void>
	struct __not_overloaded : __not_overloaded2<_Tp, _Up> { };

// False if we can call operator>(T,U)
      template<typename _Tp, typename _Up>
	struct __not_overloaded<_Tp, _Up, __void_t<
	  decltype(operator>(std::declval<_Tp>(), std::declval<_Up>()))>>
	: false_type { };

template<typename _Tp, typename _Up>
	using __ptr_cmp = __and_<__not_overloaded<_Tp, _Up>,
	      is_convertible<_Tp, const volatile void*>,
	      is_convertible<_Up, const volatile void*>>;
    };

/// One of the @link comparison_functors comparison functors@endlink.
  template<>
    struct less<void>
    {
      template <typename _Tp, typename _Up>
	constexpr auto
	operator()(_Tp&& __t, _Up&& __u) const
	noexcept(noexcept(std::forward<_Tp>(__t) < std::forward<_Up>(__u)))
	-> decltype(std::forward<_Tp>(__t) < std::forward<_Up>(__u))
	{
	  return _S_cmp(std::forward<_Tp>(__t), std::forward<_Up>(__u),
			__ptr_cmp<_Tp, _Up>{});
	}

template<typename _Tp, typename _Up>
	constexpr bool
	operator()(_Tp* __t, _Up* __u) const noexcept
	{ return less<common_type_t<_Tp*, _Up*>>{}(__t, __u); }

typedef __is_transparent is_transparent;

private:
      template <typename _Tp, typename _Up>
	static constexpr decltype(auto)
	_S_cmp(_Tp&& __t, _Up&& __u, false_type)
	{ return std::forward<_Tp>(__t) < std::forward<_Up>(__u); }

template <typename _Tp, typename _Up>
	static constexpr bool
	_S_cmp(_Tp&& __t, _Up&& __u, true_type) noexcept
	{
	  return less<const volatile void*>{}(
	      static_cast<const volatile void*>(std::forward<_Tp>(__t)),
	      static_cast<const volatile void*>(std::forward<_Up>(__u)));
	}

// True if there is no viable operator< member function.
      template<typename _Tp, typename _Up, typename = void>
	struct __not_overloaded2 : true_type { };

// False if we can call T.operator<(U)
      template<typename _Tp, typename _Up>
	struct __not_overloaded2<_Tp, _Up, __void_t<
	  decltype(std::declval<_Tp>().operator<(std::declval<_Up>()))>>
	: false_type { };

// True if there is no overloaded operator< for these operands.
      template<typename _Tp, typename _Up, typename = void>
	struct __not_overloaded : __not_overloaded2<_Tp, _Up> { };

// False if we can call operator<(T,U)
      template<typename _Tp, typename _Up>
	struct __not_overloaded<_Tp, _Up, __void_t<
	  decltype(operator<(std::declval<_Tp>(), std::declval<_Up>()))>>
	: false_type { };

template<typename _Tp, typename _Up>
	using __ptr_cmp = __and_<__not_overloaded<_Tp, _Up>,
	      is_convertible<_Tp, const volatile void*>,
	      is_convertible<_Up, const volatile void*>>;
    };

/// One of the @link comparison_functors comparison functors@endlink.
  template<>
    struct greater_equal<void>
    {
      template <typename _Tp, typename _Up>
	constexpr auto
	operator()(_Tp&& __t, _Up&& __u) const
	noexcept(noexcept(std::forward<_Tp>(__t) >= std::forward<_Up>(__u)))
	-> decltype(std::forward<_Tp>(__t) >= std::forward<_Up>(__u))
	{
	  return _S_cmp(std::forward<_Tp>(__t), std::forward<_Up>(__u),
			__ptr_cmp<_Tp, _Up>{});
	}

template<typename _Tp, typename _Up>
	constexpr bool
	operator()(_Tp* __t, _Up* __u) const noexcept
	{ return greater_equal<common_type_t<_Tp*, _Up*>>{}(__t, __u); }

typedef __is_transparent is_transparent;

private:
      template <typename _Tp, typename _Up>
	static constexpr decltype(auto)
	_S_cmp(_Tp&& __t, _Up&& __u, false_type)
	{ return std::forward<_Tp>(__t) >= std::forward<_Up>(__u); }

template <typename _Tp, typename _Up>
	static constexpr bool
	_S_cmp(_Tp&& __t, _Up&& __u, true_type) noexcept
	{
	  return greater_equal<const volatile void*>{}(
	      static_cast<const volatile void*>(std::forward<_Tp>(__t)),
	      static_cast<const volatile void*>(std::forward<_Up>(__u)));
	}

// True if there is no viable operator>= member function.
      template<typename _Tp, typename _Up, typename = void>
	struct __not_overloaded2 : true_type { };

// False if we can call T.operator>=(U)
      template<typename _Tp, typename _Up>
	struct __not_overloaded2<_Tp, _Up, __void_t<
	  decltype(std::declval<_Tp>().operator>=(std::declval<_Up>()))>>
	: false_type { };

// True if there is no overloaded operator>= for these operands.
      template<typename _Tp, typename _Up, typename = void>
	struct __not_overloaded : __not_overloaded2<_Tp, _Up> { };

// False if we can call operator>=(T,U)
      template<typename _Tp, typename _Up>
	struct __not_overloaded<_Tp, _Up, __void_t<
	  decltype(operator>=(std::declval<_Tp>(), std::declval<_Up>()))>>
	: false_type { };

template<typename _Tp, typename _Up>
	using __ptr_cmp = __and_<__not_overloaded<_Tp, _Up>,
	      is_convertible<_Tp, const volatile void*>,
	      is_convertible<_Up, const volatile void*>>;
    };

/// One of the @link comparison_functors comparison functors@endlink.
  template<>
    struct less_equal<void>
    {
      template <typename _Tp, typename _Up>
	constexpr auto
	operator()(_Tp&& __t, _Up&& __u) const
	noexcept(noexcept(std::forward<_Tp>(__t) <= std::forward<_Up>(__u)))
	-> decltype(std::forward<_Tp>(__t) <= std::forward<_Up>(__u))
	{
	  return _S_cmp(std::forward<_Tp>(__t), std::forward<_Up>(__u),
			__ptr_cmp<_Tp, _Up>{});
	}

template<typename _Tp, typename _Up>
	constexpr bool
	operator()(_Tp* __t, _Up* __u) const noexcept
	{ return less_equal<common_type_t<_Tp*, _Up*>>{}(__t, __u); }

typedef __is_transparent is_transparent;

private:
      template <typename _Tp, typename _Up>
	static constexpr decltype(auto)
	_S_cmp(_Tp&& __t, _Up&& __u, false_type)
	{ return std::forward<_Tp>(__t) <= std::forward<_Up>(__u); }

template <typename _Tp, typename _Up>
	static constexpr bool
	_S_cmp(_Tp&& __t, _Up&& __u, true_type) noexcept
	{
	  return less_equal<const volatile void*>{}(
	      static_cast<const volatile void*>(std::forward<_Tp>(__t)),
	      static_cast<const volatile void*>(std::forward<_Up>(__u)));
	}

// True if there is no viable operator<= member function.
      template<typename _Tp, typename _Up, typename = void>
	struct __not_overloaded2 : true_type { };

// False if we can call T.operator<=(U)
      template<typename _Tp, typename _Up>
	struct __not_overloaded2<_Tp, _Up, __void_t<
	  decltype(std::declval<_Tp>().operator<=(std::declval<_Up>()))>>
	: false_type { };

// True if there is no overloaded operator<= for these operands.
      template<typename _Tp, typename _Up, typename = void>
	struct __not_overloaded : __not_overloaded2<_Tp, _Up> { };

// False if we can call operator<=(T,U)
      template<typename _Tp, typename _Up>
	struct __not_overloaded<_Tp, _Up, __void_t<
	  decltype(operator<=(std::declval<_Tp>(), std::declval<_Up>()))>>
	: false_type { };

template<typename _Tp, typename _Up>
	using __ptr_cmp = __and_<__not_overloaded<_Tp, _Up>,
	      is_convertible<_Tp, const volatile void*>,
	      is_convertible<_Up, const volatile void*>>;
    };
#endif // C++14
  /** @}  */

// 20.3.4 logical operations
  /** @defgroup logical_functors Boolean Operations Classes
   * @ingroup functors
   *
   *  Here are wrapper functors for Boolean operations: @c &&, @c ||,
   *  and @c !.
   *
   *  @{
   */
#if __cplusplus > 201103L
  template<typename _Tp = void>
    struct logical_and;

template<typename _Tp = void>
    struct logical_or;

template<typename _Tp = void>
    struct logical_not;
#endif

/// One of the @link logical_functors Boolean operations functors@endlink.
  template<typename _Tp>
    struct logical_and : public binary_function<_Tp, _Tp, bool>
    {
      _GLIBCXX14_CONSTEXPR
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x && __y; }
    };

/// One of the @link logical_functors Boolean operations functors@endlink.
  template<typename _Tp>
    struct logical_or : public binary_function<_Tp, _Tp, bool>
    {
      _GLIBCXX14_CONSTEXPR
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x || __y; }
    };

/// One of the @link logical_functors Boolean operations functors@endlink.
  template<typename _Tp>
    struct logical_not : public unary_function<_Tp, bool>
    {
      _GLIBCXX14_CONSTEXPR
      bool
      operator()(const _Tp& __x) const
      { return !__x; }
    };

#if __cplusplus > 201103L
  /// One of the @link logical_functors Boolean operations functors@endlink.
  template<>
    struct logical_and<void>
    {
      template <typename _Tp, typename _Up>
	_GLIBCXX14_CONSTEXPR
	auto
	operator()(_Tp&& __t, _Up&& __u) const
	noexcept(noexcept(std::forward<_Tp>(__t) && std::forward<_Up>(__u)))
	-> decltype(std::forward<_Tp>(__t) && std::forward<_Up>(__u))
	{ return std::forward<_Tp>(__t) && std::forward<_Up>(__u); }

typedef __is_transparent is_transparent;
    };

/// One of the @link logical_functors Boolean operations functors@endlink.
  template<>
    struct logical_or<void>
    {
      template <typename _Tp, typename _Up>
	_GLIBCXX14_CONSTEXPR
	auto
	operator()(_Tp&& __t, _Up&& __u) const
	noexcept(noexcept(std::forward<_Tp>(__t) || std::forward<_Up>(__u)))
	-> decltype(std::forward<_Tp>(__t) || std::forward<_Up>(__u))
	{ return std::forward<_Tp>(__t) || std::forward<_Up>(__u); }

typedef __is_transparent is_transparent;
    };

/// One of the @link logical_functors Boolean operations functors@endlink.
  template<>
    struct logical_not<void>
    {
      template <typename _Tp>
	_GLIBCXX14_CONSTEXPR
	auto
	operator()(_Tp&& __t) const
	noexcept(noexcept(!std::forward<_Tp>(__t)))
	-> decltype(!std::forward<_Tp>(__t))
	{ return !std::forward<_Tp>(__t); }

typedef __is_transparent is_transparent;
    };
#endif
  /** @}  */

#if __cplusplus > 201103L
  template<typename _Tp = void>
    struct bit_and;

template<typename _Tp = void>
    struct bit_or;

template<typename _Tp = void>
    struct bit_xor;

template<typename _Tp = void>
    struct bit_not;
#endif

// _GLIBCXX_RESOLVE_LIB_DEFECTS
  // DR 660. Missing Bitwise Operations.
  template<typename _Tp>
    struct bit_and : public binary_function<_Tp, _Tp, _Tp>
    {
      _GLIBCXX14_CONSTEXPR
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x & __y; }
    };

template<typename _Tp>
    struct bit_or : public binary_function<_Tp, _Tp, _Tp>
    {
      _GLIBCXX14_CONSTEXPR
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x | __y; }
    };

template<typename _Tp>
    struct bit_xor : public binary_function<_Tp, _Tp, _Tp>
    {
      _GLIBCXX14_CONSTEXPR
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x ^ __y; }
    };

template<typename _Tp>
    struct bit_not : public unary_function<_Tp, _Tp>
    {
    _GLIBCXX14_CONSTEXPR
      _Tp
      operator()(const _Tp& __x) const
      { return ~__x; }
    };

#if __cplusplus > 201103L
  template <>
    struct bit_and<void>
    {
      template <typename _Tp, typename _Up>
	_GLIBCXX14_CONSTEXPR
	auto
	operator()(_Tp&& __t, _Up&& __u) const
	noexcept(noexcept(std::forward<_Tp>(__t) & std::forward<_Up>(__u)))
	-> decltype(std::forward<_Tp>(__t) & std::forward<_Up>(__u))
	{ return std::forward<_Tp>(__t) & std::forward<_Up>(__u); }

typedef __is_transparent is_transparent;
    };

template <>
    struct bit_or<void>
    {
      template <typename _Tp, typename _Up>
	_GLIBCXX14_CONSTEXPR
	auto
	operator()(_Tp&& __t, _Up&& __u) const
	noexcept(noexcept(std::forward<_Tp>(__t) | std::forward<_Up>(__u)))
	-> decltype(std::forward<_Tp>(__t) | std::forward<_Up>(__u))
	{ return std::forward<_Tp>(__t) | std::forward<_Up>(__u); }

typedef __is_transparent is_transparent;
    };

template <>
    struct bit_xor<void>
    {
      template <typename _Tp, typename _Up>
	_GLIBCXX14_CONSTEXPR
	auto
	operator()(_Tp&& __t, _Up&& __u) const
	noexcept(noexcept(std::forward<_Tp>(__t) ^ std::forward<_Up>(__u)))
	-> decltype(std::forward<_Tp>(__t) ^ std::forward<_Up>(__u))
	{ return std::forward<_Tp>(__t) ^ std::forward<_Up>(__u); }

typedef __is_transparent is_transparent;
    };

template <>
    struct bit_not<void>
    {
      template <typename _Tp>
	_GLIBCXX14_CONSTEXPR
	auto
	operator()(_Tp&& __t) const
	noexcept(noexcept(~std::forward<_Tp>(__t)))
	-> decltype(~std::forward<_Tp>(__t))
	{ return ~std::forward<_Tp>(__t); }

typedef __is_transparent is_transparent;
    };
#endif

// 20.3.5 negators
  /** @defgroup negators Negators
   * @ingroup functors
   *
   *  The functions @c not1 and @c not2 each take a predicate functor
   *  and return an instance of @c unary_negate or
   *  @c binary_negate, respectively.  These classes are functors whose
   *  @c operator() performs the stored predicate function and then returns
   *  the negation of the result.
   *
   *  For example, given a vector of integers and a trivial predicate,
   *  \code
   *  struct IntGreaterThanThree
   *    : public std::unary_function<int, bool>
   *  {
   *      bool operator() (int x) { return x > 3; }
   *  };
   *
   *  std::find_if (v.begin(), v.end(), not1(IntGreaterThanThree()));
   *  \endcode
   *  The call to @c find_if will locate the first index (i) of @c v for which
   *  <code>!(v[i] > 3)</code> is true.
   *
   *  The not1/unary_negate combination works on predicates taking a single
   *  argument.  The not2/binary_negate combination works on predicates which
   *  take two arguments.
   *
   *  @{
   */
  /// One of the @link negators negation functors@endlink.
  template<typename _Predicate>
    class unary_negate
    : public unary_function<typename _Predicate::argument_type, bool>
    {
    protected:
      _Predicate _M_pred;

public:
      _GLIBCXX14_CONSTEXPR
      explicit
      unary_negate(const _Predicate& __x) : _M_pred(__x) { }

_GLIBCXX14_CONSTEXPR
      bool
      operator()(const typename _Predicate::argument_type& __x) const
      { return !_M_pred(__x); }
    };

/// One of the @link negators negation functors@endlink.
  template<typename _Predicate>
    _GLIBCXX14_CONSTEXPR
    inline unary_negate<_Predicate>
    not1(const _Predicate& __pred)
    { return unary_negate<_Predicate>(__pred); }

/// One of the @link negators negation functors@endlink.
  template<typename _Predicate>
    class binary_negate
    : public binary_function<typename _Predicate::first_argument_type,
			     typename _Predicate::second_argument_type, bool>
    {
    protected:
      _Predicate _M_pred;

public:
      _GLIBCXX14_CONSTEXPR
      explicit
      binary_negate(const _Predicate& __x) : _M_pred(__x) { }

_GLIBCXX14_CONSTEXPR
      bool
      operator()(const typename _Predicate::first_argument_type& __x,
		 const typename _Predicate::second_argument_type& __y) const
      { return !_M_pred(__x, __y); }
    };

/// One of the @link negators negation functors@endlink.
  template<typename _Predicate>
    _GLIBCXX14_CONSTEXPR
    inline binary_negate<_Predicate>
    not2(const _Predicate& __pred)
    { return binary_negate<_Predicate>(__pred); }
  /** @}  */

// 20.3.7 adaptors pointers functions
  /** @defgroup pointer_adaptors Adaptors for pointers to functions
   * @ingroup functors
   *
   *  The advantage of function objects over pointers to functions is that
   *  the objects in the standard library declare nested typedefs describing
   *  their argument and result types with uniform names (e.g., @c result_type
   *  from the base classes @c unary_function and @c binary_function).
   *  Sometimes those typedefs are required, not just optional.
   *
   *  Adaptors are provided to turn pointers to unary (single-argument) and
   *  binary (double-argument) functions into function objects.  The
   *  long-winded functor @c pointer_to_unary_function is constructed with a
   *  function pointer @c f, and its @c operator() called with argument @c x
   *  returns @c f(x).  The functor @c pointer_to_binary_function does the same
   *  thing, but with a double-argument @c f and @c operator().
   *
   *  The function @c ptr_fun takes a pointer-to-function @c f and constructs
   *  an instance of the appropriate functor.
   *
   *  @{
   */
  /// One of the @link pointer_adaptors adaptors for function pointers@endlink.
  template<typename _Arg, typename _Result>
    class pointer_to_unary_function : public unary_function<_Arg, _Result>
    {
    protected:
      _Result (*_M_ptr)(_Arg);

public:
      pointer_to_unary_function() { }

explicit
      pointer_to_unary_function(_Result (*__x)(_Arg))
      : _M_ptr(__x) { }

_Result
      operator()(_Arg __x) const
      { return _M_ptr(__x); }
    };

/// One of the @link pointer_adaptors adaptors for function pointers@endlink.
  template<typename _Arg, typename _Result>
    inline pointer_to_unary_function<_Arg, _Result>
    ptr_fun(_Result (*__x)(_Arg))
    { return pointer_to_unary_function<_Arg, _Result>(__x); }

/// One of the @link pointer_adaptors adaptors for function pointers@endlink.
  template<typename _Arg1, typename _Arg2, typename _Result>
    class pointer_to_binary_function
    : public binary_function<_Arg1, _Arg2, _Result>
    {
    protected:
      _Result (*_M_ptr)(_Arg1, _Arg2);

public:
      pointer_to_binary_function() { }

explicit
      pointer_to_binary_function(_Result (*__x)(_Arg1, _Arg2))
      : _M_ptr(__x) { }

_Result
      operator()(_Arg1 __x, _Arg2 __y) const
      { return _M_ptr(__x, __y); }
    };

/// One of the @link pointer_adaptors adaptors for function pointers@endlink.
  template<typename _Arg1, typename _Arg2, typename _Result>
    inline pointer_to_binary_function<_Arg1, _Arg2, _Result>
    ptr_fun(_Result (*__x)(_Arg1, _Arg2))
    { return pointer_to_binary_function<_Arg1, _Arg2, _Result>(__x); }
  /** @}  */

template<typename _Tp>
    struct _Identity
    : public unary_function<_Tp, _Tp>
    {
      _Tp&
      operator()(_Tp& __x) const
      { return __x; }

const _Tp&
      operator()(const _Tp& __x) const
      { return __x; }
    };

// Partial specialization, avoids confusing errors in e.g. std::set<const T>.
  template<typename _Tp> struct _Identity<const _Tp> : _Identity<_Tp> { };

template<typename _Pair>
    struct _Select1st
    : public unary_function<_Pair, typename _Pair::first_type>
    {
      typename _Pair::first_type&
      operator()(_Pair& __x) const
      { return __x.first; }

const typename _Pair::first_type&
      operator()(const _Pair& __x) const
      { return __x.first; }

#if __cplusplus >= 201103L
      template<typename _Pair2>
        typename _Pair2::first_type&
        operator()(_Pair2& __x) const
        { return __x.first; }

template<typename _Pair2>
        const typename _Pair2::first_type&
        operator()(const _Pair2& __x) const
        { return __x.first; }
#endif
    };

template<typename _Pair>
    struct _Select2nd
    : public unary_function<_Pair, typename _Pair::second_type>
    {
      typename _Pair::second_type&
      operator()(_Pair& __x) const
      { return __x.second; }

const typename _Pair::second_type&
      operator()(const _Pair& __x) const
      { return __x.second; }
    };

// 20.3.8 adaptors pointers members
  /** @defgroup memory_adaptors Adaptors for pointers to members
   * @ingroup functors
   *
   *  There are a total of 8 = 2^3 function objects in this family.
   *   (1) Member functions taking no arguments vs member functions taking
   *        one argument.
   *   (2) Call through pointer vs call through reference.
   *   (3) Const vs non-const member function.
   *
   *  All of this complexity is in the function objects themselves.  You can
   *   ignore it by using the helper function mem_fun and mem_fun_ref,
   *   which create whichever type of adaptor is appropriate.
   *
   *  @{
   */
  /// One of the @link memory_adaptors adaptors for member
  /// pointers@endlink.
  template<typename _Ret, typename _Tp>
    class mem_fun_t : public unary_function<_Tp*, _Ret>
    {
    public:
      explicit
      mem_fun_t(_Ret (_Tp::*__pf)())
      : _M_f(__pf) { }

_Ret
      operator()(_Tp* __p) const
      { return (__p->*_M_f)(); }

private:
      _Ret (_Tp::*_M_f)();
    };

/// One of the @link memory_adaptors adaptors for member
  /// pointers@endlink.
  template<typename _Ret, typename _Tp>
    class const_mem_fun_t : public unary_function<const _Tp*, _Ret>
    {
    public:
      explicit
      const_mem_fun_t(_Ret (_Tp::*__pf)() const)
      : _M_f(__pf) { }

_Ret
      operator()(const _Tp* __p) const
      { return (__p->*_M_f)(); }

private:
      _Ret (_Tp::*_M_f)() const;
    };

/// One of the @link memory_adaptors adaptors for member
  /// pointers@endlink.
  template<typename _Ret, typename _Tp>
    class mem_fun_ref_t : public unary_function<_Tp, _Ret>
    {
    public:
      explicit
      mem_fun_ref_t(_Ret (_Tp::*__pf)())
      : _M_f(__pf) { }

_Ret
      operator()(_Tp& __r) const
      { return (__r.*_M_f)(); }

private:
      _Ret (_Tp::*_M_f)();
  };

/// One of the @link memory_adaptors adaptors for member
  /// pointers@endlink.
  template<typename _Ret, typename _Tp>
    class const_mem_fun_ref_t : public unary_function<_Tp, _Ret>
    {
    public:
      explicit
      const_mem_fun_ref_t(_Ret (_Tp::*__pf)() const)
      : _M_f(__pf) { }

_Ret
      operator()(const _Tp& __r) const
      { return (__r.*_M_f)(); }

private:
      _Ret (_Tp::*_M_f)() const;
    };

/// One of the @link memory_adaptors adaptors for member
  /// pointers@endlink.
  template<typename _Ret, typename _Tp, typename _Arg>
    class mem_fun1_t : public binary_function<_Tp*, _Arg, _Ret>
    {
    public:
      explicit
      mem_fun1_t(_Ret (_Tp::*__pf)(_Arg))
      : _M_f(__pf) { }

_Ret
      operator()(_Tp* __p, _Arg __x) const
      { return (__p->*_M_f)(__x); }

private:
      _Ret (_Tp::*_M_f)(_Arg);
    };

/// One of the @link memory_adaptors adaptors for member
  /// pointers@endlink.
  template<typename _Ret, typename _Tp, typename _Arg>
    class const_mem_fun1_t : public binary_function<const _Tp*, _Arg, _Ret>
    {
    public:
      explicit
      const_mem_fun1_t(_Ret (_Tp::*__pf)(_Arg) const)
      : _M_f(__pf) { }

_Ret
      operator()(const _Tp* __p, _Arg __x) const
      { return (__p->*_M_f)(__x); }

private:
      _Ret (_Tp::*_M_f)(_Arg) const;
    };

/// One of the @link memory_adaptors adaptors for member
  /// pointers@endlink.
  template<typename _Ret, typename _Tp, typename _Arg>
    class mem_fun1_ref_t : public binary_function<_Tp, _Arg, _Ret>
    {
    public:
      explicit
      mem_fun1_ref_t(_Ret (_Tp::*__pf)(_Arg))
      : _M_f(__pf) { }

_Ret
      operator()(_Tp& __r, _Arg __x) const
      { return (__r.*_M_f)(__x); }

private:
      _Ret (_Tp::*_M_f)(_Arg);
    };

/// One of the @link memory_adaptors adaptors for member
  /// pointers@endlink.
  template<typename _Ret, typename _Tp, typename _Arg>
    class const_mem_fun1_ref_t : public binary_function<_Tp, _Arg, _Ret>
    {
    public:
      explicit
      const_mem_fun1_ref_t(_Ret (_Tp::*__pf)(_Arg) const)
      : _M_f(__pf) { }

_Ret
      operator()(const _Tp& __r, _Arg __x) const
      { return (__r.*_M_f)(__x); }

private:
      _Ret (_Tp::*_M_f)(_Arg) const;
    };

// Mem_fun adaptor helper functions.  There are only two:
  // mem_fun and mem_fun_ref.
  template<typename _Ret, typename _Tp>
    inline mem_fun_t<_Ret, _Tp>
    mem_fun(_Ret (_Tp::*__f)())
    { return mem_fun_t<_Ret, _Tp>(__f); }

template<typename _Ret, typename _Tp>
    inline const_mem_fun_t<_Ret, _Tp>
    mem_fun(_Ret (_Tp::*__f)() const)
    { return const_mem_fun_t<_Ret, _Tp>(__f); }

template<typename _Ret, typename _Tp>
    inline mem_fun_ref_t<_Ret, _Tp>
    mem_fun_ref(_Ret (_Tp::*__f)())
    { return mem_fun_ref_t<_Ret, _Tp>(__f); }

template<typename _Ret, typename _Tp>
    inline const_mem_fun_ref_t<_Ret, _Tp>
    mem_fun_ref(_Ret (_Tp::*__f)() const)
    { return const_mem_fun_ref_t<_Ret, _Tp>(__f); }

template<typename _Ret, typename _Tp, typename _Arg>
    inline mem_fun1_t<_Ret, _Tp, _Arg>
    mem_fun(_Ret (_Tp::*__f)(_Arg))
    { return mem_fun1_t<_Ret, _Tp, _Arg>(__f); }

template<typename _Ret, typename _Tp, typename _Arg>
    inline const_mem_fun1_t<_Ret, _Tp, _Arg>
    mem_fun(_Ret (_Tp::*__f)(_Arg) const)
    { return const_mem_fun1_t<_Ret, _Tp, _Arg>(__f); }

template<typename _Ret, typename _Tp, typename _Arg>
    inline mem_fun1_ref_t<_Ret, _Tp, _Arg>
    mem_fun_ref(_Ret (_Tp::*__f)(_Arg))
    { return mem_fun1_ref_t<_Ret, _Tp, _Arg>(__f); }

template<typename _Ret, typename _Tp, typename _Arg>
    inline const_mem_fun1_ref_t<_Ret, _Tp, _Arg>
    mem_fun_ref(_Ret (_Tp::*__f)(_Arg) const)
    { return const_mem_fun1_ref_t<_Ret, _Tp, _Arg>(__f); }

/** @}  */

_GLIBCXX_END_NAMESPACE_VERSION
} // namespace

#if (__cplusplus < 201103L) || _GLIBCXX_USE_DEPRECATED
# include <backward/binders.h>
#endif

#endif /* _STL_FUNCTION_H */

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